jack bought 200 canned drinks to sell at his food and. the profit, y dollars, from the sale of the canned drinks as a function of the number of cans sold, x, is represented by the equation y=1.25x-100. How many cans must jack secc to recoup the cost of buying 200 canned drinks?

Answers

Answer 1

Answer:

To recoup the cost of buying 200 canned drinks, Jack needs to make a profit of zero, meaning that the revenue from selling the drinks needs to equal the cost of buying them.

Let's start by setting the profit equation equal to zero and solving for x:

0 = 1.25x - 100

1.25x = 100

x = 80

Therefore, Jack needs to sell 80 cans of drinks to recoup the cost of buying 200 canned drinks.

Step-by-step explanation:


Related Questions

Alexis is on her senior soccoer team. She makes 73% of her foul shots, leading her team to 15 wins in 17 games for the reason. If Alexis took 86 foul shots during the season, how many shots did she make

Answers

Alexis made 63 foul shots during the season.

If Alexis made 73% of her foul shots, then she made 0.73 * 86 = 62.78 foul shots during the season.

However, since foul shots must be whole numbers, Alexis would have made either 62 or 63 shots.

We know that Alexis and her team won 15 out of 17 games during the season. This means that Alexis made foul shots in each of these 15 games, for a total of 15 * 2 = 30 foul shots.

If Alexis made a total of 62 foul shots during the season, she would have had to make an additional 32 foul shots in the two games they lost (17 games - 15 games they won = 2 games they lost). That would mean she made 16 foul shots in each of the two games they lost, which is unlikely.

Therefore, Alexis must have made 63 foul shots during the season, leaving only 23 foul shots missed (86 total foul shots - 63 made foul shots).

To know more about foul shots:

https://brainly.com/question/8703254

#SPJ4

a fair 6 -sided die is rolled 10 times and the resulting sequence of 10 numbers is recorded. how many different sequences are possible?

Answers

There are 60,466,176 different sequences that are possible.

Permutation represents a method of arranging things in order. In a fair 6-sided die rolled 10 times and the resulting sequence of 10 numbers is recorded, the different possible sequences are calculated as shown below:

When rolling a die, the possible outcomes are 1, 2, 3, 4, 5, and 6. As there are ten rolls, each roll has six possible outcomes. Thus, the total number of different sequences will be calculated as follows:6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 = 60,466,176. Therefore, there are 60,466,176 different sequences that are possible.

Learn more about permutation: https://brainly.com/question/1216161

#SPJ11

A project has 4,416 apartments, each apartment has an average of 4 persons what is the total number of residents in the project

Answers

The total number of residents in the project is 17,664.

The total number of residents in the project can be calculated by using the following formula:

Number of residents = Number of apartments x Average number of persons per apartment

In this case, the calculation would be:

Number of residents = 4,416 x 4

Number of residents = 17,664

Therefore, the total number of residents in the project is 17,664.

Learn more about total number here:

https://brainly.com/question/14993202

#SPJ4

f of x is equals to 3 - 2 x and g of x is equals to X Minus x square + 1 where x is an element of I have set of numbers find the inverse of G and the value for X for which f of G is equals to g of f​

Answers

According to the given information, the value(s) of x for which[tex]$f(G(x)) = g(f(x))$[/tex] is x = 1 or x = -2/3.

What is the slope?

The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).

According to the given information:

[tex]To find the inverse of $G(x)$:Replace $G(x)$ with $y$: $y = x - x^2 + 1$Solve for $x$: $x^2 - x + (1 - y) = 0$Apply the quadratic formula: $x = \frac{1 \pm \sqrt{1 - 4(1)(1-y)}}{2} = \frac{1 \pm \sqrt{-3 + 4y}}{2}$The inverse of $G(x)$ is therefore: $G^{-1}(x) = \frac{1 \pm \sqrt{-3 + 4x}}{2}$To find the value of $x$ for which $f(G(x)) = g(f(x))$:Start with $f(G(x))$: $f(G(x)) = f(x^2 - x + 2)$[/tex]

[tex]Replace $f(x)$ with $3 - 2x$: $f(G(x)) = 3 - 2(x^2 - x + 2) = -2x^2 + 2x - 3$Replace $G(x)$ with $y$: $y = x^2 - x + 2$Replace $g(y)$ with $y - x^2 + 1$: $g(y) = y - x^2 + 1$Set $f(G(x))$ equal to $g(f(x))$ and solve for $x$:$-2x^2 + 2x - 3 = (3 - 2x) - x^2 + 1$Simplify and solve for $x$: $x = 1$ or $x = -\frac{2}{3}$[/tex]

Therefore, according to the given information, the value(s) of x for which [tex]$f(G(x)) = g(f(x))$[/tex]is x = 1 or x = -2/3.

To learn more about the slope visit:

https://brainly.com/question/3493733

#SPJ1

Coins are placed into a treasure chest, and each coin has a radius of 1.2 inches and a height of 0.0625 inches. if there are 250 coins inside the treasure chest, how many cubic inches of the treasure chest is taken up by the coins? round to the nearest hundredth and approximate using π = 3.14. a. 0.28 in3 b. 70.65 in3 c. 117.75 in3d. 282.60 in3

Answers

From the given data, the answer is approximately 26.5 cubic inches. The closest option is b. 70.65 inches³.

The volume of each coin can be calculated as follows:

Volume of a coin = π × radius² × height

Volume of a coin = 3.14 × (1.2 inches)² × 0.0625 inches

Volume of a coin = 0.106 cubic inches

The total volume of all the coins can be found by multiplying the volume of one coin by the number of coins:

Total volume of coins = 0.106 cubic inches/coin × 250 coins

Total volume of coins = 26.5 cubic inches (rounded to the nearest tenth)

Learn more about volume here: brainly.com/question/1972490

#SPJ1

A theme park has a ride that is located in a sphere. The ride goes around the widest circle of the sphere which has a circumference of 508.68yd . What is the surface area of the​ sphere? Use 3.14 for .

Answers

The surface area οf the sphere is apprοximately 82,203.84 square yards.

Let's start by using the fοrmula fοr the circumference οf a circle C = 2πr

where C is the circumference, π is the cοnstant pi (which is apprοximately equal tο 3.14), and r is the radius οf the circle. We knοw that the circumference οf the widest circle οf the sphere is 508.68 yards, sο we can set up an equatiοn as fοllοws:

508.68 = 2πr

Sοlving fοr r, we get:

r = 508.68 / (2π)

r = 80.99 yards (rοunded tο twο decimal places)

Nοw that we knοw the radius οf the sphere, we can use the fοrmula fοr the surface area οf a sphere:

A = 4πr²

Plugging in the value οf r, we get:

A = 4π(80.99)²

An ≈ 82,203.84 square yards

Therefοre, the surface area οf the sphere is apprοximately 82,203.84 square yards.

Learn more about surface area

https://brainly.com/question/29298005

#SPJ1

Write your answer using decimals.Use 3.14 for pi.

Answers

The area of the composite figure is the sum of the whole area of each shape. Therefore, the area of the figure is 151.585 ft².

How to find the area of a composite figure?

The figure above is a composite figure. A composite figure is a shape that has two or more shapes in it.

Therefore, the composite figure can be divided into two rectangles and a quarter circle.

Hence, the area of the composite figure is the sum of the whole individuals area of the shapes.

Hence, the area of the composite figure is the sum of the area of the two rectangle and area of the quarter circle.

area of the composite figure = area of rectangle + area of rectangle + area of quarter circle

area of the composite figure = 5 × 8 + 8 × 6 + 1 / 4 × π × 9²

area of the composite figure =  40 + 48 + 81π / 4

area of the composite figure = 88 + 254.34 / 4

area of the composite figure = 88 + 63.585

area of the composite figure = 151.585 ft²

learn more on area here: brainly.com/question/12315384

#SPJ1

−4 × 4 × 4 × 4×4 × 4 × 4 in exponential

Answers

Answer:  -4 to the 7th power.

Step-by-step explanation:

Answer:

-45,000

Step-by-step explanation:

Solve the system of equations
-2x + y = 10 and 8x + 3y = 32 by
combining the equations.
try
2x
8x
-2x
-8x
O
-
+y
+3y
=
= 10)
=
=32)
=
+y
10
+3y = 32
x+ 0] ² y=

Answers

To solve the system using the elimination method (AKA combining the equations), you want to first set up the system so that one variable will be eliminated when you add the equations together.

The first equation has -2x, while the second one has -8x.  If we multiply the entire first equation by -4, we'd turn that -2x into 8x, which would cancel out when you add that with the -8x in the second equation:

   -4 ( -2x +   y = 10 )    –>       8x - 4y = -40

         -8x + 3y = 32     –>      -8x + 3y = 32

And if you add the new equations on the right, you'll end up with
    0x - y = -8    
which means y = 8.

We could do the something similar to eliminate the y's.  The first equation has y, while the second one has 3y.  If we multiply the entire first equation by -3, we'd turn that y into -3y, which would cancel out when you add that with the 3y in the second equation:

   -3 ( -2x +   y = 10 )    –>      6x - 3y = -30

         -8x + 3y = 32     –>      -8x + 3y = 32

And if you add the new equations on the right, you'll end up with
    -2x + 0y = 2
which means x = -1.

 

Putting those together, we have a solution of (-1, 8), which checks in both equations.

A small company has five employees. Let X denote the number of employees absent during a
given week. Suppose the pmf of X is as follows:
X 0 1 2 3 4 5
___________________________________________________
P(x) 0.12 0.15 0.20 0.25 0.19 0.09
Find the probability of the following events.
a) Exactly 3 employees are absent during a given week.
b) At least 3 employees are absent during a given week.
c) At most 3 employees are absent during a given week.
d) At most 2 employees are absent during a given week.
e) Between 2 and 4 employees inclusive are absent during a given week.
f) Strictly between 2 and 4 employees are absent during a given week.
g) More than 3 employees are not absent during a given week.

Answers

The probability that exactly 3 employees are absent during a given week is 0.25.

The probability that at least 3 employees are absent during a given week is 0.19 + 0.09 + 0.25 = 0.53.

The probability that at most 3 employees are absent during a given week is P(X ≤ 3) = 0.12 + 0.15 + 0.20 + 0.25 = 0.72.

The probability that at most 2 employees are absent during a given week is P(X ≤ 2) = 0.12 + 0.15 + 0.20 = 0.47.

The probability that between 2 and 4 employees inclusive are absent during a given week is P(2 ≤ X ≤ 4) = 0.20 + 0.25 + 0.19 = 0.64.

The probability that strictly between 2 and 4 employees are absent during a given week is P(2 < X < 4) = 0.25 + 0.19 = 0.44.

The probability that more than 3 employees are not absent during a given week is P(X ≤ 3) = 0.12 + 0.15 + 0.20 = 0.47, and the probability that more than 3 employees are absent during a given week is P(X > 3) = 0.19 + 0.09 = 0.28. The probability that more than 3 employees are not absent is the complement of the probability that more than 3 employees are absent. Therefore, the probability that more than 3 employees are not absent during a given week is 1 - 0.28 = 0.72.

Learn more about Probability

brainly.com/question/30034780

#SPJ11

The relative frequency of ordering a hamburger is about .....%
The relative frequency of ordering a cheeseburger and onion rings compared to the total amount of orders for onion rings is about ....%.

Answers

The relative frequency of ordering a hamburguer is about 19.33%.The relative frequency of ordering a cheeseburger and onion rings compared to the total amount of orders for onion rings is about 71.84%.

How to obtain a relative frequency?

A relative frequency is obtained with the division of the number of desired outcomes by the number of total outcomes.

For hamburguers, the outcomes are given as follows:

Desired: 58 people order hamburguer.Total: 300 people.

Hence:

58/300 x 100% = 19.33%.

For cheeseburger and onion rings compared to the total amount of orders for onion rings, the outcomes are given as follows:

Desired: 74 cheeseburgers and onion rings.Total: 103 onion rings.

Hence:

74/103 = 71.84%.

More can be learned about relative frequency at https://brainly.com/question/1809498

#SPJ1

6. Last month, Lucie had total expenditures of $900. The pie chart below breaks down these
expenditures by category. The category in which Lucie's expenditures were greatest is what
percent of her total expenditures, to the nearest 1%?

a. 24%
b. 28%
c. 32%
d. 34%
e. 39%

gas- $120
insurance- $182
clothes- $254
entertainment- $125
food- $219

Answers

Answer:

There is no pie chart to answer it

Step-by-step explanation:

Select all the expressions that equal 6^{-10}6 −10.
a. 6^{-5} \times 6^{2}6 −5 ×6 2
b. (\frac{1}{6^{2}})^{5}( 6 21 ) 5
c. (6^{-5})^{2}(6 −5 )2
d. \frac{6^{-3}}{6^7}676−3

e. \frac{6^{5} \times 6^{-3}}{6^{-8}}6−865 ×6 −3

Answers

Any given expressions in the οptions that simplifies tο  -9.9999 are equal tο [tex]6^{-10}\times6 -10[/tex]   ( since the expressiοns in the οptiοns are nοt clear, mentiοning the value)

What is Expressiοn?

An expressiοn in math is a sentence with a minimum οf twο numbers/variables and at least οne math οperatiοn in it.

An expressiοn that includes variables, cοnstants, and algebraic οperatiοns is knοwn as an algebraic expressiοn in mathematics (additiοn, subtractiοn, etc.). Terms cοmbine tο fοrm expressiοns.

Given expressiοn :

[tex]6^{-10}\times6 -10[/tex]

This simplifies tο -9.9999

Any given expressiοns in the options that simplifies to  -9.9999 are equal to [tex]6^{-10}\times6 -10[/tex]   ( since the expressions in the οptions are not clear, mentiοning the value)

Tο learn more about expressions from the link below-

brainly.com/question/4274234

#SPJ1

PLEASE HELP the question is on paper

Answers

a. The solution to the system of equations that is graphed in the diagram is: (6, -1).

b. This is the point where the lines intersect each other.

How to Find the Solution of System of Equations Graphically?

To find the solution of the system of equations graphically, we plot the equations as lines on a coordinate plane and look for the point of intersection, which represents the solution to the system. If the lines are parallel, there is no solution, and if they overlap, there are infinitely many solutions.

a. The solution as shown in the graph given is: (6, -1).

b. We know this because the point where the two lines intersect is the solution of a system of equations.

Learn more about the system of equations on:

https://brainly.com/question/30042362

#SPJ1

6 marks
2. As an engineer you inspect a 2, 500-foot sewer pipe and find that a 150-foot portion is
damaged. You get estimates for two different solutions. The first estimate is for
spot repair of the damaged portion at a cost of $375.00 per foot. The second estimate is
for relining the full length of the entire sewer pipe at a cost of $65.00 per foot. How much
could you save in immediate costs by choosing the lower estimate?

Answers

Answer:add pic

Step-by-step explanation:

Show that ABCD is a parallelogram.
E
slope of AB-5-slope of BC-5---4
slope of CD-slope of AD-4---4
ABCD is a parallelogram because both pairs of opposite sides are parallel.
slope of BC-slope of AB----
slope of AD-slope of CD-
-
ABCD is a parallelogram because both pairs of opposite sides are parallel.
slope of AB-lope of BC
slope of CD-slope of AD----
ABCD is a parallelogram because both pairs of opposite sides are parallel.
slope of BC-slope of AB
slope of AD-slope of CD-
ABCD is a parallelogram because both pairs of opposite sides are parallel.

Answers

The evidence which supports the fact that the shape ABCD is a parallelogram is; ABCD is a parallelogram because both pairs of opposite sides are parallel.

Which piece of evidence implies ABCD is a parallelogram?

From the features of parallelograms, it can be inferred that the opposite sides of a parallelogram are parallel.

Also, parallel lines are lines whose slopes are equal.

On this note;

slope of AB-2/5 slope of BC = -4

slope of CD-2/5 slope of AD = -4

Hence, it can be inferred that opposite sides AB and CD as well as BC and AD are parallel.

Ultimately, ABCD is a parallelogram because both pairs of opposite sides are parallel.

Read more on parallelograms;

https://brainly.com/question/3050890

#SPJ1

Determine whether given the coordinates of the vertices. Explain.


P(0,3), Q(0,-1), R(-2,-1), S(1,2), T(1,-2) U(-1,-2)


Question 10 options:


No; Two sides of triangle PQR and angle PQR are not the same measure as the corresponding sides and angle of triangle STU.


Yes; Each side of triangle PQR is the same length as the corresponding side of triangle STU.


Yes; Both triangles have an obtuse angle.


No; Each side of triangle PQR is not the same length as the corresponding side of triangle STU

Answers

The correct option is No; Two sides of triangle PQR and angle PQR are not the same measure as the corresponding sides and angle of triangle STU.

What is Side-Angle-Side (SAS) criterion?

The Side-Angle-Side (SAS) criterion is a rule used in geometry to determine whether two triangles are congruent, which means they have the same size and shape. The SAS criterion states that if two sides and the angle between them in one triangle are equal to two corresponding sides and the angle between them in another triangle, then the two triangles are congruent. This means that all corresponding angles and sides of the two triangles are equal in length and measure.

To determine whether the two triangles are congruent, we can use the side-angle-side (SAS) congruence criterion. We can see that triangle PQR has sides PQ, QR, and RP, and angle QPR, while triangle STU has sides ST, TU, and US, and angle TSU. We can compare the corresponding sides and angles:

PQ is of length 4, and ST is of length 4.

QR is of length 1, and TU is of length 4.

RP is of length 2, and US is of length 2.

Angle QPR is a right angle, while angle TSU is an acute angle.

Therefore, the two triangles do not have the same corresponding sides and angles, and we cannot conclude that they are congruent.

The correct option is:

No; Two sides of triangle PQR and angle PQR are not the same measure as the corresponding sides and angle of triangle STU.

To learn more about congruent triangles visit:

brainly.com/question/12413243

#SPJ1

Consider a Newsvendor problem with a single product that sells at a price of p and costs $3 per item.
Assume that the store holds 5 products and that the demand is a Poison random variable with rate
10€-(P-3)
(a) (6 points) Compute the expected profit if the price if $4.
(b) (10 points) Find the price $p that maximizes the profit.
Type in the answers in the following way: a= ..., b=..; use 2 significant figures when plugging the answers. You can also answer "a=. or "b=..." and get partial grades if the answer is correct.

Answers

Based on the given scenario, the expected profit if the price is $4 is $11.91, while the price that maximizes the profit is $5.47.

What is the Newsvendor problem?

The Newsvendor problem is a problem in inventory theory that tries to answer the question of how much inventory should be ordered to maximize profit, given limited shelf space or warehouse space, uncertain product demand, and a fixed order quantity. This problem is often encountered in newspaper, magazine, and perishable food industries, and the answer lies in balancing the risk of stocking out (not having enough inventory to meet demand) with the cost of holding excess inventory.

Newsvendor problem with a single product that sells at a price of p and costs $3 per item. Assuming that the store holds 5 products and that the demand is a Poison random variable with rate 10€-(P-3), let’s answer the two questions.

a. Compute the expected profit if the price is $4.

The expected profit (EP) is given by:

EP = Revenue - Cost =

EP = (p*min{Demand, Quantity}) - (3*Quantity)

For the given problem, Quantity is 5, and Demand is a Poison random variable with rate 10€-(P-3). Therefore:

EP(p) = (p*min{Demand, 5}) - (3*5)EP(p)

EP(p) = {p*(1 - exp[-10€-(p-3)] + (5*(1 - exp[-10€-(p-3)]))} - 15.

Using p = $4:

EP(4) = {(4*(1 - exp[-7])) + (5*(1 - exp[-7]))} - 15EP(4)

EP(4) = $11.91

Therefore, the expected profit is $11.91 when the price is $4.

b. Find the price $p that maximizes the profit.

The profit function is given by:

P(p) = (p*(1 - exp[-10€-(p-3)] + (5*(1 - exp[-10€-(p-3)]))} - 15

To maximize the profit, we need to take the derivative of the profit function with respect to p, set it equal to zero, and solve for p:

P'(p) = {1 - exp[-10€-(p-3)]} + p*{10€-(p-3)}*exp[-10€-(p-3)] - 5*{10€-(p-3)}*exp[-10€-(p-3)] = 0

Rearranging and using numerical methods to solve for p, we find:

p = $5.47

Therefore, the price that maximizes the profit is $5.47.

Learn more about Expected Profit here: brainly.com/question/28908571

#SPJ11

simplify: -√72
5-6√/2
0 -36√/2
6√√/2
06√/12

Answers

Answer: 6√√/2

Step-by-step explanation: just did it

Answer:

Step-by-step explanation:

[tex]-\sqrt{72}=-\sqrt{2*6*6}=-6\sqrt{2}[/tex]

Giving Brainliest!!!

Answers

Answer:

216 cubic cm

Step-by-step explanation:

Answer:

3174.538707cm³

Step-by-step explanation:

SurfaceArea of Cube=S²

volume of cube=S³

SA=216cm²

S=

[tex] \sqrt{216} [/tex]

S=

[tex]6 \sqrt{6} [/tex]

Volume of cube =S³

V=

[tex](6 \sqrt{6} )^{3} [/tex]

: . V= 3174.538707cm³

Write 2^15 ÷ 2^9 in the form 2^k where k is an integer to be found

Answers

Answer:

[tex]2^{6}[/tex]

Step-by-step explanation:

using the rule of exponents

[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex]

then

[tex]2^{15}[/tex] ÷ [tex]2^{9}[/tex] = [tex]2^{(15-9)}[/tex] = [tex]2^{6}[/tex] ( with k = 6 )

Consider the random variable X such that X ∼ B(7, p), p < 0. 5, and P(X = 4) = 0. 9724. Find P(X = 2)

Answers

The probability of X = 2 can be found using the binomial probability formula, with p ≈ 0.119 obtained by solving for p using the equation P(X = 4) = 0.9724. The resulting probability is approximately 0.193.

We can use the binomial probability formula to find P(X = 2):

P(X = 2) = (7 choose 2) * p² * (1-p)⁽⁷⁻²⁾

We know that P(X = 4) = (7 choose 4) * p⁴ * (1-p)⁽⁷⁻⁴⁾ = 0.9724

Solving for p in this equation, we get p ≈ 0.119

Substituting this value of p in the formula for P(X = 2), we get:

P(X = 2) = (7 choose 2) * 0.119² * 0.881⁽⁷⁻²⁾ ≈ 0.193

Therefore, the probability that X = 2 is approximately 0.193.

Learn more about binomial probability here: brainly.com/question/12474772

#SPJ4

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $2000 and his stock in Company B was worth $4240. The stock in Company A has increased 1% since last year and the stock in Company B has increased 5%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).

Answers

The total percentage increase in the investor's stock account is 3.7%.

What is the percentage increase?

Percentage increase refers to the amount by which a value or quantity has grown or increased, expressed as a percentage of its original value. It is calculated by dividing the difference between the new value and the original value by the original value, and then multiplying by 100 to express the result as a percentage. The formula for calculating percentage increase is:

Percentage increase = [(New value - Original value) / Original value] x 100%

To find the total percentage increase in the investor's stock account, we need to first calculate the new value of each stock and then add them together.

For Company A:

The stock has increased by 1%, which means its new value is 1% higher than $2000.

The increase in value is 0.01 * $2000 = $20.

The new value of the stock in Company A is $2000 + $20 = $2020.

For Company B:

The stock has increased by 5%, which means its new value is 5% higher than $4240.

The increase in value is 0.05 * $4240 = $212.

The new value of the stock in Company B is $4240 + $212 = $4452.

Now, we can find the total value of the investor's stock account by adding the new values of both stocks:

$2020 + $4452 = $6472

To find the percentage increase, we need to compare the total new value to the original total value:

The original total value was $2000 + $4240 = $6240

The total percentage increase is [(New total value - Original total value) / Original total value] x 100%

Plugging in the numbers: [(6472 - 6240) / 6240] x 100% = 3.7%

Therefore, the total percentage increase in the investor's stock account is 3.7%.

To learn more about the percentage increase, visit:

https://brainly.com/question/11360390

#SPJ1

Points L, M, and N lie on the surface of a sphere with
its center at point O. Point T lies in the interior of the
sphere. Which segment represents a chord of the
sphere?

A: OT
B: LM
C: LT
D: ON​

Answers

The chord of the sphere is represented by OT.

The geometrical equivalent of a two-dimensional circle in three dimensions is a sphere. The collection of points in three-dimensional space that are all located at the same r distance from one another is known as a sphere.

The line segment connecting any two locations on a circle's circumference is referred to as the chord of the sphere. It should be emphasized that the diameter is the circle's longest chord, which runs through its center.

So, if L, M, and N lie on the surface of a sphere with its center at point O. Point T lies in the interior of the sphere, then OT would connect two points on the circumference of the sphere.

Hence, the chord of the sphere is represented by OT.

To learn more about chord of a sphere, refer to:    

https://brainly.com/question/17023621

#SPJ4

The crosswalk in front of a school intersects the sidewalk at

an angle of 99º. Find the value of x.

Answers

The value of x, considering that 3x and 99º are supplementary angles, is given as follows:

x = 27.

What are supplementary angles?

Supplementary angles are a pair of angles that add up to 180 degrees. In other words, if two angles are supplementary, then the sum of their measures is 180 degrees.

Supplementary angles can be adjacent (share a common vertex and a common side) or non-adjacent (do not share a common vertex or side). When two angles are supplementary, they form a straight line, and are sometimes referred to as a linear pair of angles.

For this problem, the angles 3x and 99º are a linear pair, hence the value of x is obtained as follows:

3x + 99 = 180

3x = 81

x = 81/3

x = 27.

Missing Information

The image is presented at the end of the answer.

More can be learned about supplementary angles at https://brainly.com/question/2046046

#SPJ1

For the following Graph, select the answer for the
following questions.
What is the Domain?
What is the Range?
Is it a Function?
-6 -5 -4 -8 -2
O [-2,2]
O(-5,5)
O (-∞0,00)
O(-00, 4]
[-4,3)
No
[0,00)
Yes
20 40 D N +
5+
4+
3
+ N O 40 60
-2
-3
-4--
-5
-61

Answers

Domain: [-6,-2], Range: [-4,3) and Function: Yes, this graph can be expressed as a function as it passes the vertical line test.

What is Function?

A function is a set of instructions used to perform a specific task. It is a fundamental building block of computer programming, and it is used to create programs that can perform specific tasks. A function is a named block of code that performs a specific task. It can take one or more arguments as input and return a value as output. Functions can be used to divide a large program into smaller, more manageable pieces. Functions are also useful for code reuse, since the same code can be used multiple times within a program. In addition, functions can help improve program efficiency since code does not need to be written multiple times.

To learn more about Function
https://brainly.com/question/25638609
#SPJ1

The domain of the original function is [-1, 0) and the range of the original function is [-3, ∞), the domain of the inverse function is [-3, ∞).

What is function?

Function is an operation that takes one or more input values and produces one or more output values. It is a mathematical concept that is used in programming to create programs that can be used to solve problems. Functions can be used to organize code blocks into reusable pieces, making it easier to debug and maintain the code. A good example of a function is the mathematical function f(x) = x2, which takes an input value x and produces an output value of x2.

The domain of the inverse of a function is the range of the original function, and the range of the inverse is the domain of the original function. Therefore, since the domain of the original function is [-1, 0) and the range of the original function is [-3, ∞), the domain of the inverse function is [-3, ∞).

To learn more about function
https://brainly.com/question/11624077
#SPJ1

Complete Question is attached below:

As of 2018 we have an excess of natural resources and are able to support a population of about 9 billion people. However, natural resources are being depleted at about 1% per year. When will we no longer have enough natural resources to support the growing population?

Answers

After 71 years we will no longer have enough natural resources to support the growing population.

What is a population?

The population of a given place is the total number of people who typically reside there as of January 1 of a given year.

Total population supported by resources = 9 billion = 9 x [tex]10^9[/tex]

Because resources are being depleted 1% per year = 90000000000 x 1%

= 9 x [tex]10^7[/tex]

Total world population = 6.4 x [tex]10^9[/tex]

Now, for to find time of resource depletion,

Resource problem = 6.4 x [tex]10^9[/tex] ÷ 9 x [tex]10^7[/tex]

On solving we get 71 years

Learn more about population on:

https://brainly.com/question/29885712

#SPJ1

Find the area of the parallelogram.

Answers

The area for the parallelogram is equal to 255 square centimeters and the correct option is A = 255 cm²

Area of parallelogram

In calculating for the area of parallelogram, the base is multiplied by the height, as the same way for calculating the area of a rectangle.

we shall calculate for the height h using Pythagoras rule for the triangle as follows:

h² + 9² = 15²

h² + 81 = 225

h² = 225 - 81 {subtract 81 from both sides}

h² = 144

h = √144 {take square root of both sides}

h = 12

area of parallelogram = 21 cm × 12 cm

area of parallelogram = 254 cm²

Therefore, the area for the parallelogram is equal to 255 square centimetres.

Know more area of parallelogram here: https://brainly.com/question/970600

#SPJ1

2.731 ÷ 1000
[tex]2.731 \div 1000[/tex]
how do U do the for multiplying and dividing decimals​

Answers

Answer : 2.731 divide 1000
= 0.002731

One side of a square is 14x + 14 feet. What is the perimeter of the square?
A. 42x + 3/4 feet
B. 56x + 1 feet
C. 14/4x feet
D. 28x + 1/2 feet

Answers

Answer:

The perimeter of a square is given by the formula P = 4s, where s is the length of one side.

Here, one side of the square is given as 14x + 14 feet. Substituting this into the formula, we get:

P = 4(14x + 14) feet

P = 56x + 56 feet

Therefore, the answer is option B: 56x + 1 feet.

Other Questions
what effect did the end of the atlantic slave trade have in africa? group of answer choices former victims of the slave trade began to gain strength and attack their neighbors. slavery increased within africa to provide labor for commercial crops such as palm oil and cloves. expertise in slave trading did not prepare states for success in plantation agriculture. people no longer needed states to protect them from slave raiders. 1. "Cutting the price of a product never increases the amount of revenue you receive. If we want to increase revenue, we have to increase price". Explain your answer (1 point)TRUE ( ) FALSE ( )2. In article about the financial problems of USA Today, Newsweek reported that the paper was losing about 420 million a year. A Wall Street Journal analyst said that the paper should raise its price from 50 cents to 75 cents, which he estimated would bring in additional $65 million a year. The papers publisher rejected the idea, saying that circulation could drop sharply after a price increase, citing The Wall Street Journals experience after it increased its price to 75 cents. (1 point)A. What implicit assumptions is the publisher making about price elasticity? Explain.B. What implicit assumptions is the analyst making about price elasticity? Explain.3. One study found that the price elasticity of demand for soda is -0.78, while the price elasticity of demand for Coca-Cola is -1.22.a) Coca-Cola is a type of soda, so why is not the price elasticity of demand the same as the price elasticity for soda as product? of Lambert ary 1/4 is paid to the government as tax every month if Lambert earns R30 000 every month how much does he have left over after paying tax in triangle ABC on median line CM, from point A normal length AA1 is constructed, and from point B normal length BB1 is constructed.Proof that AA1=BB1 when ball hits the sweet spot, it will travel. a greater distance if it hits any other part of the bat. a shot for distance than if it hits any other part of the bat .the same distance as if it hits any other part of the bat . no distance at all You have been provided the following stock information on the \( \mathrm{XYZ} \) corporation. Calculate the return on this stock for each month. Calculate the arithmetic average return on the company stockCalculate the geometric average return on the company stockCalculate the total risk associated with the company stock Find the balance in the account: $2,000 principal, earning 7% compounding semi-annually, after 25 years Consider two countries: Nepal and Sri Lanka. Each country produces food and clothing. You are told that if Nepal uses all its resources to produce Clothing, it produces a total of 600 units of Clothing. If it uses all its resources to produce Food, it can produce a total 300 units of Food. For Nepal, the opportunity cost of producing one unit of clothing is 0.5 units of Food, and the opportunity cost of producing one unit of food is 2 units of Clothing.On the other hand, if Sri Lanka uses all its resources to produce Clothing, it produces a total of 150 units of Clothing. If it uses all its resources to produce Food, it can produce a total 150 units of Food. The opportunity cost of producing one unit of Food for Sri Lanka is 1 unit of Clothing. The opportunity cost of producing one unit of Clothing for Sri Lanka is 1 unit of Food.If you were asked to comment on each country's comparative advantage, what would you say?a) Sri Lanka has a comparative advantage in producing Food, while Nepal has a comparative advantage in producing Clothingb) Sri Lanka has a comparative advantage in producing Clothing, while Nepal has a comparative advantage in producing Foodc) Sri Lanka has a comparative advantage in producing both Food and Clothingd) Nepal has a comparative advantage in producing both Food and Clothing Reflect on what you think are the biggest threats posed by a world that increasingly relies on digital data. Almost every aspect of modern life is dependent on computers and the data they process working correctly. From energy to transportation, from banking to commerce, and from health care to food production, computers play a significant part of the process of delivering those services.What are some of the things that ordinary people can and should do to protect themselves from network attackers?What are the responsibilities of those that deliver these vital services and what can they do to ensure these services are safe?Instructions:Write a post of at least 5 sentences outlining your answers to the above questions about threats to a digital world. Are there things you should be doing differently to protect yourself and others from digital disaster? Question 1: Cartoons were designed to make fun of various parts of life. Keeping this and the incident at Pearl Harbor in mind, how do you think Americans responded to this cartoon when it was released? Why? (2-3 sentences) If the water vapor comprises 0. 2% of an air parcel and the pressure exerted by it is 1mb, what is the total atmospheric pressure of the parcel? at what level of investment ownership is significant influence often presumed? select one: a. greater than 20% of the voting stock of the investee b. between 20% and 50% of the voting stock of the investee c. greater than 50% of the voting stock of the investee d. greater than 20% of the voting stock or of the fair value of the investee Examine the image and choose the best answer.Which event does this political cartoon most likely refer to?O A. the invasion of PanamaB. the collapse of the Soviet UnionOC. the fall of the Berlin WallOD. the Persian Gulf War What is the volume of the prism, in cubic centimeters? Stuart and Leah are eager to hear what you think of their ideas. You'll need to provide feedback that lets them know which of their approaches will work best for this campaign, and why. Then you'll need to convince your client, the city's Youth Alcohol Council, that the approach you've selected will do the job.First, review the copy (text) that Stuart [grave mistake] and Leah [sad story] sent you by clicking each of the pdfs i put down belowLeah drafted a story that would be broadcast on the local radio stations that draw a large teen audience.Stuart mocked up a visual ad that would appear on the sides of city buses--once a graphic designer makes the ad look good.Next, decide which approach is more likely to influence the behavior of local teens. Then, using what you have learned about the persuasive powers of both literature and informational text, provide a rationale for your decision. Finally, create a presentation that sells the approach you chose to the client and explains how you will use other mediums (media)such as radio, television and the Internetto reinforce the campaigns message.When you are ready to start working on your project, click the Activity button and follow the guidelines in the Youth Alcohol Council worksheet. To see how your work on this assignment will be graded, click the Rubric button.DIRECTIONS: Use the steps below to decide whether a persuasive informational message or a persuasive literary selection would better meet your clients needs. Suggested Project Steps1 Read the two public service announcements submitted by members of your team. 2 Write a brief analysis of each PSA draft provided by members of your team.3 Decide which approach is more likely to work; make sure you can explain your choice. 4 Create a brief presentation that sells the idea and approach you selected. Step 1: Read the two public service announcements submitted by members of your team.Note how each text presents ideashow it attempts or intends to persuade young people who might be faced one day with a choice between driving while drinking or finding another way home.Step 2: Write a brief analysis of each PSA draft provided by members of your team. Your analysis will be provided as feedback for Stuart and Leah, the authors of the two ideas. Be sure to identify the persuasive techniques used in each announcement. Step 3: Decide which approach is more likely to work; make sure you can explain your choice. With your clients goals in mind, determine which of the two PSA ideas would better support the campaign to end drinking and driving among the citys youth. Step 4: Create a brief presentation that sells the idea and approach you selected. Your presentation should be persuasive in its own way since it must convince the citys Youth Alcohol Council that your teams plan will work to make a difference in the city. Besides pointing out the strengths of the PSA you chose, describe how you will use other mediums (media)such as radio, television and the Internetto reinforce the message conveyed by the sample PSA. (a-b)x2-(a+b)x+2b ssolve this quadratic equation plsss a patient with anorexia nervosa presents with severe dehydration and weight loss in the last week. what appropriate action should the nurse take? The graph shows some of the countries' national debts during a certain time period. The national debt of during a certain time period was $,000,000,000. Write it in scientific notation. When writing for multilingual audience you should use plain lanvuave. True or false One day, when we had a smooth sea and moderate wind, two of my wearied countrymen who were chained together (I was near them at the time), preferring death to such a life of misery, somehow made through the nettings and jumped into the sea; immediately, another quite dejected fellow, who, on account of his illness, was suffered to be out of irons, also followed their example; and I believe many more would very soon have done the same, if they had not been prevented by the ships crew, who were instantly alarmed. Those of us that were the most active, were in a moment put down under the deck; and there was such a noise and confusion amongst the people of the ship as I never heard before, to stop her, and get the boat out to go after the slaves. However, two of the wretches were drowned, but they got the other, and afterwards flogged [beat] him unmercifully, for thus attempting to prefer death to slavery. -Narrative of the Life of Olaudah Equiano,Why do the ships crew members flog an enslaved person at the end of the excerpt? Because he is sick Because he jumped overboard Because he started a fight Because he refused to work