Consider the quadratic function f (x) = 2x² - 16x + 24. Complete the square to rewrite the function in the form
f(x)= a(x-h)² + k.
f(x) =

Answers

Answer 1

The quadratic function f(x) = 2x² - 16x + 24 can be rewritten in the vertex form f(x) = 2(x - 4)² + 4.

What is the vertex form of the given function?

Given the function in the question:

f(x) = 2x² - 16x + 24

To determine the vertex form f(x) = a(x-h)² + k, we need to complete the square.

Factor out the leading coefficient of 2:

f(x) = 2x² - 16x + 24

f(x) = 2(x² - 8x + 12)

To complete the square, we need to add and subtract the square of half of the coefficient of x:

f(x) = 2[(x² - 8x + 16) - 4] + 8

Since (x² - 8x + 16) is a perfect square trinomial, we factored as (x - 4)².

f(x) = 2[(x - 4)² - 4] + 8

Now we can simplify and rewrite in the desired form:

f(x) = 2(x - 4)² - 4 + 8

f(x) = 2(x - 4)² + 4

Therefore, the vertex form is f(x) = 2(x - 4)² + 4.

Learn more about vertex form here: https://brainly.com/question/29185886

#SPJ1


Related Questions

Rachel works at a lemonade stand at the park on Monday she used 1 2/5 bags of lemons on Tuesday she use 1 1/4 times as many lemons as on Monday how many bags of lemons does Rachel have use on Tuesday

Answers

Answer:

1.75 Bags of Lemons

Step-by-step explanation:

1 2/5 = 1.4

1 1/4 = 1.25

1.4 * 1.25 = 1.75 Bags of Lemons

A movie theater offers two containers which container is the better value use 3.14 as an approximation for pi 

Answers

Answer:

  cylinder

Step-by-step explanation:

You want to know which of two popcorn containers is a better value:

cone: diameter 12 cm, height 19 cm, cost $6.75cylinder: diameter 8 cm, height 15 cm, cost $6.25

Volume

The volume formulas for the two shapes are ...

  V = 1/3πr²h . . . . . cone

  V = r²h . . . . . . . . . cylinder

Ratio

For r = d/2, the ratio of these two volumes is ...

  [tex]\dfrac{V_{con}}{V_{cyl}}=\dfrac{\dfrac{1}{3}\pi\left(\dfrac{d_{con}}{2}\right)^2h_{con}}{\pi\left(\dfrac{d_{cyl}}{2}\right)^2h_{cyl}}=\dfrac{d_{con}^2\cdot h_{con}}{3\cdot d_{cyl}^2\cdot h_{cyl}}=\dfrac{12^2\cdot19}{3\cdot 8^2\cdot 15}=\dfrac{2736}{2880}=0.95[/tex]

The cone has less volume and costs more, so the cylindrical container is the better value.

K
Let u = 4i-3j, and v= -2i+ 7j. Find u-v.
U-V= (Type your answer in terms of i and j.)

Answers

The value of u -v is 6i - 10j.

We have,

u = 4i-3j, and v= -2i+ 7j.

So, u - v

= (4i - 3j) - (-2i + 7j)

= 4i - 3j + 2i - 7j

= (4i + 2i) + (-3j - 7j)

= 6i - 10j

Thus, the resultant vector is 6i - 10j.

Learn more about Vector here:

https://brainly.com/question/29740341

#SPJ1

I am unsure about how to do this problem, pictured below.

Answers

The time taken to reach a population of 500 is gotten from  500=50e^0.55t

What is the exponential growth?

Exponential growth is a process that increases quantity over time as in the bacterial culture here.

We know that from the question, we have;

P(t)=Poe^rt

P(t) = population at time t

Po= Initial population

r = growth rate

t = time taken

Then we have that;

150 = 50e^2r

3=e^2r

ln3 = 2r

r = ln3/2

r = 0.55

If the rate of growth is 0.55, then to reach a population  of 500;

500=50e^0.55t

Learn more about exponential growth:https://brainly.com/question/12101306

#SPJ1

How many 1/4 cups of water fit inside of a 2 1/2 cup water bottle?

Answers

Answer:

There are 10 1/4 cups of water that fit inside a 2 1/2 cup water bottle.

To see why, note that 2 1/2 cups is equivalent to 10 quarter cups (2 x 4 = 8 and 8 + 2 = 10). Therefore, you can fill the water bottle with 10 1/4 cups of water.

if det [a 10 e b d 0] = [2 10 3 6 -1 0],find a,d and e

Answers

Answer:

The given equation is:

det [a 10 e b d 0] = [2 10 3 6 -1 0]

The determinant of a 3x3 matrix is calculated as follows:

|a b c|

|d e f| = a(ei - fh) - b(di - fg) + c(dh - eg)

Applying this formula to the given matrix, we get:

det [a 10 e b d 0] = a(d0 - b-1) - 10(ed - b0) + e(10*-1 - d*3)

= ab + 10b - 10ed - 3e

Substituting the given values, we get:

ab + 10b - 10ed - 3e = 2(6-0) - 10(3-(-1)) + 3(10-(-1))

ab + 10b - 10ed - 3e = 12 + 40 + 33

ab + 10b - 10ed - 3e = 85

We can simplify this equation by factoring out b and e:

b(a + 10) - e(10d + 3) = 85 - 10b

We can solve for a, d, and e by setting up a system of equations using the given values of the determinant:

ab + 10b - 10ed - 3e = 85

From this equation, we can solve for b:

b(a + 10) - e(10d + 3) = 85 - 10b

Substituting the value of b from the determinant equation, we get:

(a+10)(-1) - e(10d+3) = -8.5

Simplifying, we get:

-a - 10e - 3.3d = -8.5 ...(1)

Also, from the determinant equation, we have:

6a + 10d + 3e = 29

Solving for e in terms of a and d, we get:

e = (29 - 6a - 10d)/3 ...(2)

Substituting equation (2) into equation (1), we get:

-a - 10[(29 - 6a - 10d)/3] - 3.3d = -8.5

Simplifying and multiplying both sides by -3, we get:

3a + 20d - 29e = 25.5

Substituting equation (2) into this equation, we get:

3a + 20d - 29[(29 - 6a - 10d)/3] = 25.5

Simplifying, we get:

a + 6d - 29 = 1.5

a + 6d = 30.5

We have two equations in two variables:

-a - 10e - 3.3d = -8.5

a + 6d = 30.5

Solving for a and d using any method (substitution, elimination, etc.), we get:

a = 7

d = 4

Substituting these values into equation (2), we get:

e = (29 - 6a - 10d)/3 = (29 - 6(7) - 10(4))/3 = -3

Therefore, a = 7, d = 4, and e = -3.

Step-by-step explanation:

An experiment is conducted with a coin. The results of the coin being flipped twice 200 times is shown in the table.


Outcome Frequency
Heads, Heads 40
Heads, Tails 75
Tails, Tails 50
Tails, Heads 35


What is the P(No Heads)?
85%
75%
50%
25%

Answers

The probability representing the no heads in the outcome of flipping a coin 200 times is given by 25%.

Total number of times coin flipped = 200

Number of times we get,

Heads, Heads  = 40

Heads, Tails  = 75

Tails, Tails  = 50

Tails, Heads =  35

The probability of getting no heads that is two tails in a coin toss. Probability is frequency of the outcome 'Tails, Tails' divided by the total number of trials.

⇒P(No Heads) = Frequency of 'Tails, Tails' / Total number of trials

From the table, the frequency of 'Tails, Tails' is 50,

And the total number of trials is 200.

This implies,

P(No Heads)

= 50 / 200

= 0.25

= 25%

Therefore, the probability of the no heads is equal to 25%.

Learn more about probability here

brainly.com/question/31635559

#SPJ1

Determine if triangle PQR is similar to triangle LMK. If they are similar enter the scale factor from triangle LMK to triangle PQR.

Answers

Triangles PQR and LMK are not similar. Thus none.

What are similar triangles?

Two or more triangles are said to be similar if on comparing their corresponding properties, some common relations holds. One important relation is the scale factor that relates one triangle with the other.

In the diagram given, we have;

scale factor = LK/ PR

                   = 18/ 10

scale factor = 1.8

But this scale factor can not be used to determine the side LM correctly.

That is,

LM ≠ 1.8*8

LM ≠ 14.4

since LM = 13

Therefore, it can be deduced that triangles PQR and LMK are not similar. Thus none.

Learn more about similar triangles at https://brainly.com/question/27996834

#SPJ1

The gradient of every point on the curve C with equation y = f(x), satisfies

dy/dx = 3x2 – 4x + k, where k is a constant. The points P (0, -3) and Q (2,7) both lie on C. find the equation for C.

Answers

The equation for the gradient on the curve C is y = x³ - 2x² + 5x - 3

Given data ,

Let the gradient of every point on the curve C is given by the equation dy/dx = 3x² - 4x + k

Now , we can integrate this equation with respect to x to obtain the equation for C

∫(dy/dx)dx = ∫(3x² - 4x + k)dx

Integrating the right-hand side with respect to x, we get:

∫(3x² - 4x + k)dx = x^3 - 2x^2 + kx + C1

where C1 is the constant of integration

Now, on simplifying the points P(0, -3) and Q(2, 7) that lie on C to find the values of C1 and k

For point P(0, -3)

when x = 0, y = -3

Plugging these values into the equation x³ - 2x² + kx + C1 = y, we get:

0³ - 2(0)² + k(0) + C1 = -3

C1 = -3

For point Q(2, 7):

when x = 2, y = 7

Plugging these values into the equation x³ - 2x² + kx + C1 = y, we get:

2³ - 2(2)² + k(2) - 3 = 7

k = 5

On substituting the values of C1 and k back into the equation , we get

y = x³ - 2x² + 5x - 3

Hence , the equation is y = x³ - 2x² + 5x - 3

To learn more about equation of graph of polynomials click :

https://brainly.com/question/16957172

#SPJ1

At Dela's Deli, Dela fills containers with homemade vinaigrette salad dressing. The table shows the amount of vinegar and olive oil used for the dressing.


Number of containers Vinegar (tsp) Olive Oil (tsp)
1 4 12.5
6


At this rate, how much vinegar and olive oil will be used to make 6 containers of salad dressing?
Dela will use 10 teaspoons of vinegar and 75 teaspoons of olive oil to make 6 containers of salad dressing.
Dela will use 10 teaspoons of vinegar and 18.5 teaspoons of olive oil to make 6 containers of salad dressing.
Dela will use 24 teaspoons of vinegar and 75 teaspoons of olive oil to make 6 containers of salad dressing.
Dela will use 24 teaspoons of vinegar and 18.5 teaspoons of olive oil to make 6 containers of salad dressing.

Answers

Dela will use 24 teaspoons of vinegar and 75 teaspoons of olive oil to make 6 containers of salad dressing.

We have,

Dela uses a ratio of 4 teaspoons of vinegar to 12.5 teaspoons of olive oil.

So, for 6 containers

= 4 x 6

= 24 teaspoons of vinegar

and, = 12.5 x 6

= 75 teaspoons of olive oil

Thus, Dela will use 24 teaspoons of vinegar and 75 teaspoons of olive oil to make 6 containers of salad dressing.

learn more about ratio here:

brainly.com/question/12024093

#SPJ1

Given the function f(x) =3x^2-6x-9 is the point (1,-12) on the graph of f?

Answers

The equation x² + y - 36 = 0 is symmetry about the y - axis.

We have to given that;

The equation of graph is,

⇒ x² + y - 36 = 0

Now, We get;

⇒ x² + y - 36 = 0

⇒ y = - x² + 36

By plotting the equation in graph we get;

The equation x² + y - 36 = 0 is symmetry about the y - axis.

Thus, The equation x² + y - 36 = 0 is symmetry about the y - axis.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Use the drawing tool(s) to form the correct answers on the provided graph.
Graph the system of equations given below on the provided graph.
32+y
Then, use the Mark Feature tool to plot the solution to the system.
Drawing Tools
Select
Mark Feature
Line
Click on a tool to begin drawing.
=
-5
10-
80
92
3 Delete

Answers

The solution of the given system of equations is (-3, 4).

Given two linear equations.

2x - 3y = -18

3x + y = -5

Multiplying the first equation by 3 and the second equation by 2,

6x - 9y = -54

6x + 2y = -10

Subtracting the equations,

-11y = -44

y = 4

Substituting,

x = -3

The graph of the system of equations is given below.

Hence the solution is (-3, 4).

Learn more about System of Equations here :

https://brainly.com/question/24065247

#SPJ2

Exponential model (10,160) (11,250)

Answers

The Exponential model is y = 0.74 (1.79)ˣ

We have,

(10, 160) and (11, 250)

Using the Exponential model

y = abˣ

where a is the initial amount and be is the constant.

Now, the value of b is

= 250/ 140

= 1.79

Now, y = abˣ

140 = a (1.79)⁹

a = 0.74

So, the Exponential model is y = 0.74 (1.79)ˣ

Learn more about Exponential Function here:

https://brainly.com/question/14355665

#SPJ1

8[tex]\sqrt{x} -80[/tex]

Answers

Answer: [tex]8(\sqrt{x} -10)[/tex]

Step-by-step explanation:

[tex]8\sqrt{x} - 80[/tex]

[tex]8(\sqrt{x} -10)[/tex]

May someone please help me with this question i need the assistance asap

Answers

Answer:

144

Step-by-step explanation:A first add 98 + 46 keyword Sum for interior angles

PLEASE HELP (WILL GIVE BRAINLIEST

Answers

Answer:

A. V = 81π(7.25) = 1,844.90 cubic inches

V = 81(3.14)(7.25) = 1,843.97 cubic inches

B. Let p be the number of cans of paint.

1,843.97p = 10,000, so p = 5.42

Jessie will need 6 cans of paint.

C. Area of each storage area = π(9.5^2) = 283.53 square inches. Using 3.14 for π, this area is (3.14)(9.5^2) = 283.385 square inches. The base area of each paint can is 81π = 254.46 square inches (254.34 square inches if we use 3.14 for π). Jessie can't use the carrier because the area of each storage area exceeds the base area of each paint can.

In how many way can a committee of three democrats And two republicans be formed from a group of ten democrats and ten republicans

Answers

The number of ways in which a committee of four Democrats and three Republicans be formed from a group of ten Democrats and eleven Republicans is 34650 ways.

We have,

By choosing some items from a set and creating subsets, permutation and combination are two approaches to represent a group of objects. It outlines the numerous configurations for a particular set of data. Permutations are the selection of data or objects from a set, whereas combinations are the order in which they are represented. Both ideas are critical to mathematics.

Here, the differences between permutation and combination are described in detail.

The number of ways in which we can select a committee of 4 democrats from ten democrats is:

P = 10C 4 = 10! / (4)! (10 - 4)!

P = 210

The number of ways in which we can select a committee of 3 Republicans from 11 Republicans is:

P = 11C 3 = 11! / 3! (11 - 3)!

P = 165

The number of ways in which a committee of four Democrats and three Republicans be formed from a group of ten Democrats and eleven Republicans is:

P = (210) (165) = 34650

The number of ways in which a committee of four Democrats and three Republicans be formed from a group of ten Democrats and eleven Republicans is 34650 ways.

Learn more about combinations here:

brainly.com/question/29804946

#SPJ1

Kava is a beverage or extract that is made from Piper methysticum, a plant native to the western Pacific islands. Suppose that, in
a randomized comparative experiment to determine if taking kava daily can reduce insomnia, a group of participants with
insomnia were randomly assigned to take kava (treatment group) or a placebo (control group). After six weeks, the participants
were interviewed to see if they experienced a decrease in insomnia. The table shows the results from the sample. The counts are
the number of people in each group who experienced a decrease in insomnia.

Answers

Note that where the above is given, the Standard Error is: 0.0322; while

The Value of the two-sample z-statistics p1-p2 = 6.048

How did we get the above results?

To get the standard error, we can say

SE = √((p1  x  (1-p1)/ n1) + (p2  x (1-p2)/n2) )

Substituting....

SE = √((0.7122  x (1-0.7122)/403) + (0.4594  x (1-0.4594)/468))

SE = 0.03223785349

SE ≈ 0.0322

2) For the two-sample z-statistic formula:

z = (p1 - p2) / SE

Substituting values    ..........

z = (0.7122 - 0.4594) / 0.042

z = 6.048

Learn more about standard error:
https://brainly.com/question/13179711
#SPJ1

The function f(x) = 1.85x2 models the cost of a square carpet, where x is the length in feet. Find the average rate of change for f, to the nearest tenth, over the interval 10 ≤ x ≤ 20.

Answers

The average rate of change for function f(x) = 1.85x² to the nearest tenth over the interval 10 ≤ x ≤ 20 is equal to 55.5 (Rounding to the nearest tenth).

Function models the cost of a square carpet

f(x) = 1.85x²

The average rate of change of a function f(x) over an interval [a, b] is,

Average rate of change = [f(b) - f(a)] / (b - a)

The average rate of change of f(x) over the interval 10 ≤ x ≤ 20.

Using the given function, we have,

f(10) = 1.85(10)²

       = 185

f(20) = 1.85(20)²

        = 740

Now calculate the average rate of change,

average rate of change

= [f(20) - f(10)] / (20 - 10)

= (740 - 185) / 10

= 55.5 (Rounding to the nearest tenth)

Therefore, the average rate of change of function f(x) over the interval 10 ≤ x ≤ 20 is approximately 55.5.

learn more about function here

brainly.com/question/18358410

#SPJ1

The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $5500 to rent trucks plus an additional
fee of $200.25 for each ton of sugar.


The second company charges $4995 to rent trucks plus an additional fee of $225.50 for each ton of sugar.
For what amount of sugar do the two companies charge
the same?


What is the cost when the two companies charge the
same?
$

Answers

Let’s solve this problem by setting the cost of the two companies equal to each other and solving for the amount of sugar. Let x be the amount of sugar in tons.

The cost for the first company is 5500 + 200.25x and the cost for the second company is 4995 + 225.50x.

Setting these two expressions equal to each other, we get:

5500 + 200.25x = 4995 + 225.50x

Solving for x, we get:

25.25x = 505

x = 20

So, the two companies charge the same when the amount of sugar is 20 tons.

The cost when the two companies charge the same is:

5500 + 200.25 * 20 = $9505

So, when the two companies charge the same, the cost is $9505.

Received message. Let's solve this problem by setting the cost of the two companies equal to each other and solving for the amount of sugar. Let x be the amount of sugar in tons. The cost for the first company is 5500 + 200.25x and the cost for the second company is 4995 + 225.50x. Setting these two expressions equal to each other, we get: 5500 + 200.25x = 4995 + 225.50x Solving for x, we get: 25.25x = 505 x = 20 So, the two companies charge the same when the amount of sugar is **20 tons**. The cost when the two companies charge the same is: 5500 + 200.25 * 20 = $9505 So, when the two companies charge the same, the cost is **$9505**.

MARK ME BRAINLEIST

Use this table of values to draw the graph of y=2x+3 for values of x from -3 to 3

Answers

A graph of y = 2x + 3 for values of x from -3 to 3 is shown in the image attached below.

How to develop the table by using the linear function?

Based on the information provided above, the required table can be constructed or developed as follows;

x                    y = 2x + 3              y___

-3                  y = 2(-3) + 3          -3

-2                  y = 2(-2) + 3          -1

-1                  y = 2(-1) + 3             1

0                  y = 2(0) + 3              3

1                   y = 2(1) + 3               5

2                  y = 2(2) + 3              7

3                  y = 2(3) + 3              9

In this scenario and exercise, we would use an online graphing calculator to graphically represent the given data set in the table on a graph as shown in the image attached below.

In conclusion, we can reasonably infer and logically deduce that the domain of this linear function y = 2x + 3 is [-3, 3] and the range is [-3, 9].

Read more on graphs here: brainly.com/question/4546414

#SPJ1

Can someone please help me solve this simple question for high reward

Answers

Answer:

D

Step-by-step explanation:

The Percentages are as follows

History: 80%

English: 82%

Reading: 84%

Math: 85%

Science: 86%

If the diameter of a circle is 8.4 in.. find the area and the circumference of the circle. Use 3.14 for pl. Round your answers to the nearest
hundredth.

Answers

Given that the diameter of a circle is 8.4 inches.

The radius (r) of the circle can be found by dividing the diameter by 2:

r = d/2 = 8.4/2 = 4.2 inches

The area (A) of a circle can be found using the formula:

A = πr^2

Substituting the value of r, we get:

A = 3.14 x 4.2^2 = 55.3896 ≈ 55.39 square inches

The circumference (C) of a circle can be found using the formula:

C = 2πr

Substituting the value of r, we get:

C = 2 x 3.14 x 4.2 = 26.3896 ≈ 26.39 inches

Therefore, the area of the circle is approximately 55.39 square inches and the circumference of the circle is approximately 26.39 inches.

The area of the given circle is 55.39 in² and the circumference is 26.38 in.

We know that the area of a circle is given by the formula A = π×r²

Given the diameter of the circle = 8.4 in

Therefore radius of the circle = 8.4/2 = 4.2 in    (diameter/2 = radius)

Now Area of the circle = π × 4.2²

                                     = 3.14 × 17.64
                                     = 55.3896

                                     = 55.39   (round up to the nearest hundredth)


Circumference of the circle = 2 × π × r

                                              = 2 × 3.14 × 4

                                              = 26.376

                                              = 26.38 (round up to the nearest hundredth)

Therefore the area of the circle is 55.39 in² and the circumference is 26.38 in.

To know more about circles:

https://brainly.com/question/402655

Please help asap need it please

Answers

Answer:

Step-by-step explanation:

i think that you times the numbers

What is the solid formed when rotated around the side length of 4?
O cylinder with a height of 3 units and a radius of 4 units
O cone with a height of 4 units and a radius of 3 units
cylinder with a height of 3 units and a radius of 5 units
O cone with a height of 5 units and a radius of 4 units
Find the volumes and surface areas of the solids. Give your answers in terms of .
Surface Area: square units
Volume: cubic units

Answers

Answer: B: cone with a height of 4 units and a radius of 3 units

Step-by-step explanation:

Surface Area: 9pi + 15pi = 24pi square units

Volume: 9pi x 4 x 1/3 = 12pi cubic units

3.
You have two credit cards. If you budget $375 to pay off your credit card debt and you payoff the highest interest card first while maintaining the interest accrued on the other card, how many months does it take you to pay it off?

Card Name (APR %) Existing Balance Credit Limit
Murk (5.6%) $675.49 $1,500.00
Mini (9.85%) $902.43 $1,000.00



5 months


2 months


4 months


3 months

Answers

It takes A. 5 months to pay off (Mini) the highest interest card.

How many months to pay off the highest interest card debt?

To determine the number of months it takes to pay off the credit card debt, we shall calculate the monthly payment to pay off the highest interest card first.

First, calculate interest accrued on each card per month:

Murk: (5.6/100)/12 * $675.49 = $2.98 per month

Mini: (9.85/100)/12 * $902.43 = $7.42 per month

Next, we determine the order in which to pay off the cards, which is highest interest card first, we can allocate the entire $375 to Mini and leave a minimum for interest accrued on Murk.

This should be a percentage of the balance.

Assuming it's 2% of the balance, which is $13.51.

So, in month 1, we will pay:

Mini: $375

Murk: $13.51

Leaving these balances:

Murk: $675.49 + $2.98 - $13.51 = $664.96

Mini: $902.43 - $375 + $7.42 = $534.85

In month 2:

Mini: $534.85 + $7.42 = $542.27

Murk: $13.51 + $2.98 = $16.49

Balances:

Murk: $664.96 + $2.98 - $16.49 = $651.45

Mini: $542.27 - $375 + $7.42 = $174.69

month 3:

Mini: $174.69 + $7.42 = $182.11

Murk: $13.51 + $2.98 = $16.49

Balances:

Murk: $651.45 + $2.98 - $16.49 = $638.94

Mini: $182.11 - $174.69 + $5.52 = $12.94

month4:

Mini: $12.94 + $7.42 = $20.36

Murk: $13.51 + $2.98 = $16.49

Balances:

Murk: $638.94 + $2.98 - $16.49 = $625.43

Mini: $20.36 - $12.94 + $0.54 = $8.96

month 5:

Mini: $8.96 + $7.42 = $16.38

Murk: $13.51 + $2.98 = $16.49

Balances:

Murk: $625.43 + $2.98 - $16.49 = $612.92

Mini: $16.38 - $8.96 = $7.42

So, Mini's balance is paid off here.

Learn more about pay off at brainly.com/question/11556132

#SPJ1

Note:

And we can allocate the entire $375 budget to Murk.

This means we will pay off Murk in month 6:

Murk: $612.92 + $2.98 + $375 - $13.51 = $977.39

Marcus surveys the students in his school about their favorite lunch.
Lunch
Grilled Cheese
Roast Beef
Chili
Frequency
80
40
50
20
60
Use the data to describe the favorite lunch of students at Marcus's school. Round to the nearest percent and the nearest 10 students.
% of students surveyed preferred grilled cheese, so in a group of 3500 students, about
Chicken & Rice
Other
students will prefer grilled cheese.

Answers

32% of the students surveyed preferred grilled cheese, so in a group of 3500 students, about 1120 students will prefer grilled cheese.

How to calculate a probability?

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The total number of people surveyed is given as follows:

80 + 40 + 50 + 20 + 60 = 250.

80 students preferred grilled cheese sandwich, hence the percentage is obtained as follows:

p = 80/250 x 100%

p = 32%.

Hence the expected amount of 3500 students is given as follows:

0.32 x 3500 = 1120 students.

More can be learned about probability at https://brainly.com/question/24756209

#SPJ1

What function is represented in the table?
Select one:
y = .5(4^x)
y = 2(.5^x)
y = .5(2^x)
y = 4(.5^x)

Answers

The function that represents in the table is y = 0.5(2^x)

Option C is the correct answer.

We have,

Looking at the table,

We can observe that as the value of x increases, the value of f(x) doubles.

This doubling of f(x) indicates that the base of the exponential function is 2.

Also, when x = 0, the value of f(x) is 0.5, which means that the y-intercept of the exponential function is 0.5.

Thus,

The function can be represented as y = 0.5(2^x).

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ1

Round to the nearest tenth, then find the difference. 13.56 − 10.02 = ___ pleas help in test and am about to leave soon.

Answers

The difference between 13.56 and 10.02 is 3.54.

What is subtraction?

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

The difference between 13.56 and 10.02 can be calculated by doing the subtraction. As,

(13 + 0.56) - (10 + 0.02)

= (13 - 10) + (0.56 - 0.02)

= 3 + 0.54

= 3.54

Learn more about Subtraction here:

https://brainly.com/question/1927340

#SPJ1

Ellie is going to see a movie and is taking her 2 kids. Each movie ticket costs $13 and there are an assortment of snacks available to purchase for $5 each. How much total money would Ellie have to pay for her family if she were to buy 4 snacks for everybody to share? How much would Ellie have to pay if she bought x snacks for everybody to share?
Total cost with 4 snacks:
Total cost with x snacks:

Answers

Answer:

The amount of money spent on tickets and snacks will be $39 and $20. And the total amount is $59.

Step-by-step explanation:

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Ellie is going to see a movie and is taking her 2 kids. Each movie ticket costs $13 and there are an assortment of snacks available to purchase for $5 each.

The amount of tickets is given as,

Ticket's amount = 3 x $13

Ticket's amount = $39

Then the amount spent on snacks is given as,

Snack's amount = 4 x $5

Snack's amount = $20

Then the total amount is given as,

Total amount = $39 + $20

Total amount = $59

The amount of money spent on tickets and snacks will be $39 and $20. And the total amount is $59.

Other Questions
What is a fine-grained igneous rock composed primarily of very small crystals of potassium feldspar and a few large crystals of quartz? 7. Based on an exponential model of the data, what is the predicted value of Variable 2 whenVariable 1 = 2? Round your answer to the nearest whole number.Variable 1:102030405060708090100variable 2: 10080524035251711107 If you were going to start your own country tomorrow, which economic system would you pick to put into place? Explain your answer by showing an understanding of the economic systems. (answer should be at least 3 sentences) In a certain city the temperature (in degrees Fahrenheit) t hours after 9am was approximated by the function T(t) = 30 + 19 sin (pit/12) Determine the temperature at 9 am. Determine the temperature at 3 pm. Find the average temperature during the period from 9 am to 9 pm Question 5 of 20Which statement best explains why visual aids and other media contribute toan effective speech?OA. They help the speaker feel less nervous.B. They help the speaker establish a formal tone.OC. They can make complex ideas easier to understand.OD. They can make a speech seem more professional.SUBMIT Many art forms inspire other artists and invite further interpretation, but what makes a play unique? Suppose the scores on a Algebra 2 quiz are normally distributed with a mean of 79 and a standard deviation of 3. Which group describes 16% of the population of Algebra 2 quiz scores? Why is in incorrect to explain a cultural feature by saying it is "traditional"? In literature what is a subjectO A. an idea about the work O B. a perspective on the work O c. a topic of the particular work O D. a statement about the work North Inc. bases its selling and administrative expense budget on budgeted unit sales. The sales budget shows 1.600 units are planned to be solo in March. The variable selling and administrative expense is $4.70 per unit. The budgeted fixed selling and administrative expense is $35,660 per month which includes depreciation of $3.100 per month. The remainder of the fored selling and administrative expense represents current cash flows. Compute the cash disbursements for selling and administrative experies on the March selling and administrative expense budget. Show work. o RLA - How to Get the Right Answers on the 2023 Test (1)Answer ExplanationPage 1 Page 2 Page 3 Page 4 Page 58.Lessons on the Savannaby Roland Smith"I'm not so worried about time anymore," I said.He smiled. "Good! You are making progress. Come with me."He led me to a tree not far from the camp.4. "You must climb as high as you can and find a comfortable branch whereyou can look out over the savanna." He handed me the water gourd. "Youwill need this."9.1.5.10.2.6.3.7.I didn't know what he meant by this, but I climbed the bone-dry treeanyway and found a large branch near the top that was comfortable."Can you see the grass of the savanna?" Supeet yelled up to me."Yes," I shouted back."Good! What else do you see?"I took the gourd. "What about you?""I will be too busy to drink," he said.Which fact can the reader infer aboutthe narrator?Question 2 of 10A Flag for ReviewOA. He is experienced in workingwith animals.OB.OC. He was nervous about travelingin the savanna.D.He is in a hurry to reach hisnext destination.He was raised in the city ratherthan in the wilderness. Which supply item should be used to add diluent to powdered medications to prevent foaming?Select one:Bevel extractorFilter needleNeedle capVented needle Which of the following ions have the same ground state electron configuration: S2-, N3-, Mg2+, and Br- ?a. N3- and Mg2+b. S2-, N3-, and Br-c. S2- and Br--d. Mg2+ and Br-e. S2-, N3-, Mg2+, and Br- Which method of developing a marketing communications budget uses computer simulations to model the relationship between advertising and marketing communications and sales, profits, and other factors?A) meet the competitionB) objective and taskC) payout planningD) quantitative models blossom company issues $4.3 million, 10-year, 7% bonds at 96, with interest payable on december 31. the straight-line method is used to amortize bond discount.Prepare the journal entry to record interest expense and bond discount amortization on December 31, 2017, assuming no previous accrual of interest. (Credit account titles are automatically indented when amount is entered. Do not indent manually.) Accounting information system in a computer environmentVisualisation tools have become a well-used tool amongst companies with substantial information lakes that want to sort and visualise it in an easy and understandable way... T/Fvenlafaxine and duloxetine can both be used for GAD, but only venlafaxine can be used for panic disorder and social anxiety disorder Rewrite each of the following expressions without using absolute value. |xy| , if x PLS HELP!!!!!! What conclusion can you draw about Macbeth from the play in Act 1 &2? MAKE A CLAIM SENTENCE. ________ involve(s) teaching children how to identify words through prefixes, suffixes, and root words.A) Cross-checking strategiesB) Spelling-based strategiesC) Analogy-based strategiesD) Structural analysis