a) Show that sin(BAC) = in both drawings. 5 b) Work out angle BAC in the drawing where it is acute. c) Work out angle BAC in the drawing where it is obtuse. Give each angle to 1 d.p. 15 mm B 24 mm 30° B. 15 mm A 24 mm 30° Not drawn accurately​

Answers

Answer 1

Answer:

Step-by-step explanation:

Which statement best compares and contrasts the two formats?

The infographic shows the movement of water visually, while the text describes it.

The infographic would be less appealing to visual learners than the text.

It is impossible to understand the infographic without the text.

The text is more accurate than the infographic.


Related Questions

Given data on shoulder girth and height of a group of individuals. The mean shoulder girth is 107. 20 cm with a standard deviation of 10. 37 cm. The mean height is 171. 14 cm with a standard deviation of 9. 41 cm. The correlation between height and shoulder girth is 0. 67.

Write the equation of the regression line for predicting height

Answers

The equation of the regression  line for predicting height based on shoulder girth is:y = 103.82 + 0.607x, which  mean that for every one-unit increase in shoulder girth, the predicted height increase by 0.607 units.

Since the equation of the regression line for  predicting height based on shoulder girth can be written as: y = a + bx, where y is the predicted height, x is the shoulder girth, a is the y-intercept, and b is the slope of the regression line.

To find  the values of a and b, we need to use the following formulas:

b = r(Sy/Sx)

a = ybar - b(xbar), where r is the correlation coefficient between height and shoulder girth, Sy is the standard deviation of height, Sx is the standard deviation of shoulder girth, ybar is the mean height, and x bar is the mean shoulder girth. now substituting the values we get :

b = 0.67(9.41/10.37) ≈ 0.607

a = 171.14 - 0.607(107.20) ≈ 103.82

To know more about the correlation coefficient refer to the link   brainly.com/question/27226153

#SPJ4

Consider the following experiment: Throw two fair dice sequentially and define a random variable X as the sum of the numbers of the two dice. Please compute the mean and standard deviation of 5x3+8. Mean of 5x3+8 is_1_ standard deviation of 5x3+8 is_2 Enter the correct answer below. (round down to 2 decimal places) 1 N

Answers

The mean of 5x3+8 is 23 and the standard deviation of 5x3+8 is 5.65, rounded down to 2 decimal places.

Consider the following experiment: Throw two fair dice sequentially and define a random variable X as the sum of the numbers of the two dice. We are to compute the mean and standard deviation of 5x3+8. Mean of 5x3+8 is 23 and standard deviation of 5x3+8 is 5.65. Thus, option 1 and option 2 are the correct answers.What is the expected value of a discrete random variable?In probability theory and statistics, the expected value of a random variable is the measure of the center of the probability distribution. It represents the long-run mean of occurrences, for example, the average value in a long sequence of trials.The standard deviation of a random variable is the measure of the spread or variability of a probability distribution, similar to variance. It is the square root of variance, denoted as σ.Here, the sum of the numbers of two dice follows a uniform distribution, where each event is equally likely, and the probability of each event is 1/36. Therefore, the random variable X is discrete with probability mass function:f(x) = 1/36, for x = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12.Using this distribution, we can find the mean and standard deviation of the random variable X.Mean of 5x3+8=5(3)+8=23σ2=∑(x−μ)2P(X=x)where,μ = E(X) = ∑xf(x) = 7σ = √σ2=√ ∑(x−μ)2P(X=x)= √(2-7)2 (1/36)+ (3-7)2 (2/36)+ (4-7)2 (3/36)+ (5-7)2 (4/36)+ (6-7)2 (5/36)+ (7-7)2 (6/36)+ (8-7)2 (5/36)+ (9-7)2 (4/36)+ (10-7)2 (3/36)+ (11-7)2 (2/36)+ (12-7)2 (1/36)≈ 5.65Therefore, the mean of 5x3+8 is 23 and the standard deviation of 5x3+8 is 5.65, rounded down to 2 decimal places.

Learn more about Standard

brainly.com/question/15287326

#SPJ4

Solve the equation by factoring:
9y^2 - 49=0

Answers

y1=-7 over 3 y2=7over 3

Answer:

Step-by-step explanation:

do it yourself

Chose the domain for which each function is defined f(x)=x+4/x

Answers

The function f(x) = (x+4)/x is defined for all real numbers except x = 0, since division by zero is undefined. Therefore, the domain of the function is all real numbers except x = 0.

In interval notation, we can write the domain of the function as: (-∞, 0) U (0, ∞). This means that the function is defined for all values of x that are less than zero or greater than zero, but it is not defined at x = 0. The domain of a function is the set of all possible input values (also called independent variables) for which the function is defined. In other words, it is the set of values for which the function yields a valid output (also called dependent variable). In the case of the function f(x) = (x+4)/x, the domain is restricted by the fact that division by zero is undefined. Therefore, we cannot include x = 0 in the domain of the function. To find the domain of a function, we need to look for any values of the input variable that would make the function undefined or result in an error. These include situations such as division by zero, taking the square root of a negative number, or taking the logarithm of a non-positive number. In general, the domain of a function can be described using interval notation or set-builder notation, depending on the specific circumstances of the function. It is important to identify the domain.

To learn more about function click here

brainly.com/question/30594198

#SPJ4

One day, David hands out flyers to 7 people. The next day, each person copies the flyer and hands them out to 7 people. The following day, these people copy their flyer and hand them out to 7 people.


How many people now have flyers?

THE ANSWER IS 343

Answers

The total number of people with flyers after 3 days of copying and distributing them is 343, which can be calculated using the formula P = 7^n, where P is the total number of people with flyers and n is the number of times the flyers are copied and distributed.

The formula for this problem is P = 7^n where P is the total number of people with flyers and n is the number of times the flyers are copied and distributed.

In this problem, n = 3 as the flyers were distributed on three separate days.

Therefore, P = 7^3 = 343

The calculation can be shown as follows:

1st day: 7 people receive the flyer

2nd day: 7 x 7 = 49 people receive the flyer

3rd day: 49 x 7 = 343 people receive the flyer

Therefore, the total number of people with flyers after 3 days is 343.

Learn more about total number here:

https://brainly.com/question/3589613

#SPJ4

Find the missing length of the triangle. 7.2 feet, 9.6 feet, and c

Answers

By using pythagorean theorem, the length of the missing side is 12 feet.

What is the Pythagorean theorem?

Pythagoras' theorem is a fundamental principle in geometry that relates to the three sides of a right-angled triangle. It states that:

"In a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides."

In mathematical terms, if a, b, and c are the lengths of the sides of a right-angled triangle, where c is the hypotenuse, then the theorem can be written as:

[tex]c^2 = a^2 + b^2[/tex]

We can use the Pythagorean theorem to determine the length of the missing side if we know that the given sides form a right triangle.

In this case, we have two sides of the triangle given: 7.2 feet and 9.6 feet. Let's assume that c is the length of the hypotenuse.

If the triangle is a right triangle, then we can use the Pythagorean theorem to solve for c:

[tex]c^2 = 7.2^2 + 9.6^2[/tex]

[tex]c^2 = 51.84 + 92.16[/tex]

[tex]c^2 = 144[/tex]

[tex]c = \sqrt{144}[/tex]

c = 12 feet

Therefore, if the triangle is a right triangle, then the length of the missing side is 12 feet.

To know more about Pythagorean theorem visit:

brainly.com/question/343682

#SPJ1

Find the missing length A=50 b=50

Answers

The value of sides a and b from the triangle. A = 50 degrees, B = 50 degrees, c = 12 meters is 9.341 metres and angle C is 80 dgree.

How can the angles and the sides be determined?

From the Law of Sines states that the follow proportions must be true which is

sin (A)/a = sin (B)/b= sin (C)/c

Where A = 50 degrees

B = 50 degrees

c = 12 meters

Angle C = (180-100=80   ( angle in the triangle is 180 degree)

sin (50)/a = sin (50)/b= sin (80)/12

0.766/a = 0.766/b= 0.985/12

0.766/a = 0.766/b=0.082

0.766/a =0.082

a =0.766/0.082 = 9.341

0.766/b=0.082

b=0.766/0.082= 9.341

Learn more about  Law of Sines at:

https://brainly.com/question/31116864

#SPJ1

complete questions

Solve the given triangle. A = 50 degrees, B = 50 degrees, c = 12 meters

Round your answers to the nearest integer.

C = ? degrees

b = ? meters

c = ? meters

i. How does a person's cycling rate show up in his or her equation?

Answers

A person's cycling rate can be expressed mathematically in the equation that describes their cycling motion. Specifically, the cycling rate can be represented by the frequency or number of revolutions per unit time (usually in seconds) that the person completes while cycling.

The equation that describes a person's cycling motion is typically a kinematic equation that relates the person's position, velocity, and acceleration as a function of time. One commonly used equation is:

d = vit + 1/2at^2

where d is the distance traveled by the person, vi is the initial velocity (usually zero), a is the acceleration, and t is the time elapsed.

The cycling rate can be incorporated into this equation by expressing the velocity as a function of the frequency of revolutions (f) and the radius of the wheel (r). This gives:

v = 2πrf

where v is the velocity of the cyclist, r is the radius of the wheel, and π is the mathematical constant pi (approximately 3.14).

Substituting this expression for v into the kinematic equation gives:

d = (2πrf)t + 1/2at^2

This equation shows how the person's cycling rate, represented by the frequency f, affects their distance traveled as a function of time. If the person increases their cycling rate, their velocity increases, and they will travel a greater distance in the same amount of time.

(09.01 LC)

The circle shown below has AB and BC as its tangents:

AB and BC are two tangents to a circle which intersect outside the circle at a point B.

If the measure of arc AC is 140°, what is the measure of angle ABC? (1 point)

Answers

The measure of angle ABC is: 20°

How to find the measure of the angle in the circle?

Consider quadrilateral ABCO. The sum of all of the measures of all interior angles in the quadrilateral ABCO is equal to 360°.

The Lines given as BA and BC are seen to be tangent to the circle, and then this means that the radii OC and OA are perpendicular to the tangent lines BC and BA. Therefore,

m∠BCO=90°;

m∠BAO=90°.

The measure of the angle AOC is 160° (because the measure of arc AC is 140°). So,

m∠ABC + m∠BCO + m∠BAO + m∠AOC = 360°,

m∠ABC = 360° - (m∠BCO + m∠BAO + m∠AOC)

= 360° - (90° + 90° + 160°)

= 20°

Read more about angle in a circle at; https://brainly.com/question/29545058

#SPJ1

select all statements that are true. assume that is smooth function in a neighborhood around and that all the difference points are contained in that neighborhood. and are the forward and backward finite differences, respectively.

Answers

There are several statements that are true when it comes to a smooth function in a neighborhood around a point and the forward and backward finite differences.

The true statements are:

1) The forward finite difference is the difference between the function value at a point and the function value at the next point.

2) The backward finite difference is the difference between the function value at a point and the function value at the previous point.

3) The forward and backward finite differences can be used to approximate the derivative of a function at a point.

4) The forward and backward finite differences are both equal to the slope of the tangent line to the function at the point.

5) The forward and backward finite differences are both equal to the derivative of the function at the point.

Therefore, the true statements are "The forward finite difference is the difference between the function value at a point and the function value at the next point.", "The backward finite difference is the difference between the function value at a point and the function value at the previous point.",

"The forward and backward finite differences can be used to approximate the derivative of a function at a point.", "The forward and backward finite differences are both equal to the slope of the tangent line to the function at the point.", and "The forward and backward finite differences are both equal to the derivative of the function at the point."

To know more about Forward and Backward finite, click on the link below:

https://brainly.com/question/30195925#

#SPJ11

a fair ordinary dice is thrown once
select the probability a 4 or a 5
A/1/6 B/2/6 C 4/6 D/5/6

Answers

B since 4 and 5 gives it a 2 out of 6 chance to land on said number - there are 6 possibilities and 2 of them are what we want

If a1=5 and an=an-1-4 then find the value of a5

Answers

A5 has a value of -11. This can also be confirmed by looking at the words in order: 5, 1, -3, -7, and -11.

Using the given formula, we can find the value of the nth term by recursively applying the formula, starting from the first term:

a1 = 5

a2 = a1 - 4 = 1

a3 = a2 - 4 = -3

a4 = a3 - 4 = -7

a5 = a4 - 4 = -11

Therefore, the value of a5 is -11. We can also verify this by checking the sequence of terms: 5, 1, -3, -7, -11.

To learn more about value refer to:

brainly.com/question/30760879

#SPJ4

Weights of adult males.
The weights of adult individuals in a certain country are normally distributed with a population mean of μ=172 pounds and a population standard deviation of σ=29 pounds. Suppose n=36 individuals are sampled.
1)
What is the mean of the sampling distribution of the means?

Answers

The sampling distribution of the means has a mean of 172 pounds and a standard deviation of 4.83 pounds.


In the context of sampling distribution of the means, the standard deviation represents the degree of spread or variation of sample means around the true population mean.

To compute the standard deviation of the sampling distribution of the means, one typically divides the population standard deviation by the square root of the sample size.

Therefore, the standard deviation of the sampling distribution of the means is 29/√36 = 29/6 = 4.83 pounds.

So, the sampling distribution of the means has a mean of 172 pounds and a standard deviation of 4.83 pounds.

To know more about sampling distribution refer here:

https://brainly.com/question/13501743#

#SPJ11

2.4 m × 0.7 m Find the length volume = 1.512 meters³​

Answers

The length of the rectangular prism with a volume of 1.512 m³​ is equal to 0.9 meters.

How to calculate the volume of a rectangular prism?

Mathematically, the volume of a rectangular prism can be calculated by using this formula:

Volume of a rectangular prism = L × W × H

Where:

L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.

By substituting the given parameters into the formula for the volume of a rectangular prism, we have;

Volume of a rectangular prism = L × W × H

1.512 = L × 2.4 × 0.7

Length, L = 1.512/1.68

Length, L = 0.9 meters.

Read more on volume of prism here: brainly.com/question/21012007

#SPJ1

Complete Question:

Find the length of the rectangular prism shown below with a volume of 1.512 m³​, a width of 2.4 m and a height of 0.7 m.

a) Work out the angle of elevation from R to T in the rectangle below. Give your answer to 1.d.p. b) Which angle fact tells you that the answer to part a) is also the angle of depression from T to R? 340cm 165cm

Answers

a) Note that the Angle of Elevation from R to T is 63.4°

b) The angle fact tells you that the answer to part a) is also the angle of depression from T to R is "the Alternate Angle Postulate"

What is the justification for the above response?


The principle used in below is SOH CAH TOA.

a) Tanθ = Opp/Adjacent

Tanθ = 340/165
Tanθ = 2.0606060606
θ = Tan⁻¹ 2.0606060606
θ = 63.4349

θ [tex]\approx[/tex] 63.4

b) The principle of alternate angles is a theorem in geometry that states that when a straight line intersects two other lines, the angles formed on opposite sides of the intersection and on opposite sides of the transversal are equal. This principle is based on the fact that parallel lines cut by a transversal create corresponding angles that are congruent.


Thus the angle fact tells you that the answer to part a) is also the angle of depression from T to R is "the Alternate Angle Postulate"

Learn more about Angle of Elevation at:

https://brainly.com/question/29008290

#SPJ1

Equations with x in the denominator

Can someone please explain to me, step by step, how to answer this question.

Answers

Answer:

x=5/6

Step-by-step explanation:

lcm=6x

6xX1/2x+6xX1/3x=6xX1 (divide through)

3x1+2x1=6xX1

3+2=6x

5=6x

5/6=6x/6 (divide through)

x=5/6

Hope it help

In Cape Town there is a shortage of water and so water is getting more expensive. Water from the tap costs a flat rate of 15 plus per liter. Water from the store costs 3 per liter. At what number of liters would the cost from the store and the cost from the tap be the same ?

Answers

The cost of water from the store and the cost from the tap will be the same when the number of liters

reaches 7.5 liters.

Let's assume that the cost of buying 'x' liters of water from the store is the same as the cost of buying 'x' liters of water from the tap.

For water from the store, the cost per liter is 3, so the cost of buying 'x' liters of water from the store would be 3x.

For water from the tap, there is a flat rate of 15 plus per liter. So, the cost of buying 'x' liters of water from the tap would be 15 + x.

Now we can set up an equation to find the value of 'x' when the costs are equal:

3x = 15 + x

Simplifying this equation, we get:

2x = 15

x = 7.5

Therefore, the cost from the store and the cost from the tap would be the same at 7.5 liters.

To learn more about Cost :

https://brainly.com/question/1153322

#SPJ4

the height of a cylindrical pole is 12 feet and its circumference is 2 feet. a rope is attached to a point on the circumference at the bottom of the pole. the rope is then wrapped tightly around the pole four times before it reaches a point on the top directly above the starting point at the bottom. what is the minimum number of feet in the length of the rope? express your answer in simplest radical form.

Answers

The minimum number of feet in the length of the rope [tex]8\sqrt{(4\pi^2 + 36)}[/tex] feet.

To find the minimum number of feet in the length of the rope, we need to first calculate the height of the point on the circumference where the rope is attached. We can do this by using the formula for the circumference of a cylinder:

C = 2πr

where C is the circumference, r is the radius of the cylinder, and π is pi. Since we know that the circumference of the pole is 2 feet, we can solve for the radius:

2 = 2πr

r = 1/π

Next, we need to calculate the length of the rope that is wrapped around the pole. We know that the rope is wrapped around the pole four times, so the length of the rope is:

L = 4 × height of the pole

To find the height of the pole, we can use the Pythagorean theorem:

[tex]a^2 + b^2 = c^2[/tex]

where a is the radius of the pole, b is the height of the point where the rope is attached, and c is the length of the rope wrapped around the pole.

Solving for b, we get:

b = [tex]\sqrt{c^2 - a^2)}[/tex]

Substituting the values we know, we get:

b = [tex]\sqrt{((4\pi^2 + 12^2) - \pi^2)}[/tex]

b = [tex]\sqrt{sqrt(16\pi^2 + 144)}[/tex]

Finally, we can substitute this value into the formula for the length of the rope:

[tex]L = 4 * \sqrt{16\pi^2 + 144)}[/tex]

To know more about length of the rope, refer here:

https://brainly.com/question/29296502#

#SPJ11

8lb= __ oz? what is 8lb equal to in oz?

Answers

128 ounces
Multiply the mass value by 16

what is the value of the expression
3/5(X-8)-y
when x=15 and y=1/10
a 11/10
b 21/10
c 31/10
d 41/10

Answers

Answer:

The answer is to this question is D. 41/10

Using Unit Rates to compare Ratios continued
5 Branden and Pete each play running back. Branden carries the ball 75 times for
550 yards, and Pete has 42 carries for 380 yards. Who runs farther per carry?
Pete did more his outcome was 9. 0 which was bigger the branden do
380 divided by 42 for your answer​

Answers

Pete runs farther per carry, with a unit rate of 9.05 yards per carry compared to Branden's unit rate of 7.33 yards per carry.

A unit rate is a rate that has a denominator of 1. It is a ratio that compares a quantity to its unit of measurement.

To determine who runs farther per carry, we can use unit rates to compare the distance each player runs per carry.

For Branden:

Distance per carry is

= 550 yards ÷ 75 carries

Divide the numbers

= 7.33 yards per carry

For Pete:

Distance per carry is

= 380 yards ÷ 42 carries

Divide the numbers

= 9.05 yards per carry

Learn more about unit rate here

brainly.com/question/29781084

#SPJ4

I need help working this out, I only need help with question a.

Answers

Answer:

-3, -1 and 1

Step-by-step explanation:

substitute what ever the x column says into 2x-3

2×0-3=-3

2×1-3=-1

2×2-3=1

the answers: -3, -1, 1

A carpenter has a piece of plywood whose area is 20ft2. He cuts out a 0.75ft2 notch and a 3.25ft2 hole in the plywood.
What is the sum?
13.5
15.0
16.0

Answers

The tοtal area οf the plywοοd after cutting οut the nοtch and hοle is 16ft²

Define the term area?  

Area is the measure οf a regiοn's size οn a surface. The area οf a plane regiοn οr plane area refers tο the area οf a shape οr planar lamina, while surface area refers tο the area οf an οpen surface οr the bοundary οf a three-dimensiοnal οbject.

Area can be understοοd as the amοunt οf material with a given thickness that wοuld be necessary tο fashiοn a mοdel οf the shape, οr the amοunt οf paint necessary tο cοver the surface with a single cοat

Area is a measure οf the amοunt οf space inside a 2-dimensiοnal shape οr regiοn, typically expressed in square units such as square inches, square feet, οr square meters.

Tο find the tοtal area οf the plywοοd after cutting οut the nοtch and hοle, we need tο subtract their areas frοm the οriginal area:

Tοtal area = 20ft² - 0.75ft² + 3.25ft²

Tοtal area = 16ft²

To know more about  2-dimensional shape visit:

brainly.com/question/10384363

#SPJ1

We have seen in lectures how the binomial distribution with n large p small can be approximated by a Poisson distribution with λ=np. We have also seen that a binomial ( n large and p not too small) can be approximated by a normal distribution. This suggests that a Poisson distribution may be able to be approximated by a normal distribution, provided λ is large enough. (a) Consider a Poisson random variable with λ=10. What is probability of at least 9 events? You can use the ppois function in R to calculate this probability. (b) Approximate the answer using a normal approximation to the Poisson. Do remember to apply the continuity correction.

Answers

P(Z > -0.475) ≈ 0.68

(a) The probability of having at least 9 events can be calculated as follows:ppois(8, 10, lower.tail = FALSE)This gives the probability of having less than or equal to 8 events, so we subtract it from 1 to get the probability of having at least 9 events. Hence, the probability of having at least 9 events is:1 - ppois(8, 10, lower.tail = FALSE) = 0.3446(b) For a Poisson distribution with λ=10, the mean is μ=10 and the variance is σ²=10. Hence, the standard deviation is σ=√10 ≈ 3.162.To approximate this using a normal distribution, we need to standardize the Poisson random variable. That is,(X-μ)/σ ~ N(0,1)where X is a Poisson random variable with λ=10. We want to find P(X ≥ 9), which can be written as P(X > 8.5) using the continuity correction. Hence,P(X > 8.5) = P(Z > (8.5-10)/3.162) = P(Z > -0.475)Using a standard normal table or calculator, we find that P(Z > -0.475) ≈ 0.68. Therefore, the approximate probability of having at least 9 events is 0.68.

Learn more about Poisson

brainly.com/question/30410181

#SJP4

Put the function y=-8x(x+6) in factored form f(x)=
a(x-r)(x-s) and state the values of a,r, and s. Assume
r_

Answers

The factored form of the function y = -8x(x + 6) is f(x) = -8(x + 3)(x - 3). The values of a, r, and s are -8, -3, and 3, respectively.

To put the function y = -8x(x + 6) in factored form f(x) = a(x - r)(x - s), the values of a, r, and s have to be identified. The step-by-step explanation is given below.Step 1: The given function is y = -8x(x + 6).Step 2: To write it in the factored form f(x) = a(x - r)(x - s), let us first multiply -8 by 6, which gives -48.Step 3: We now have y = -8x(x + 6) = -8x² - 48x.Step 4: Rearranging it, we get y = -8x² - 48x.Step 5: Factoring out -8 from both the terms, we get y = -8(x² + 6x).Step 6: Next, add (6/2)² = 9 to both the sides to make the expression a perfect square. y + 72 = -8(x² + 6x + 9).Step 7: The right side of the equation is now a perfect square. It can be written as y + 72 = -8(x + 3)².  (x + 3)² = x² + 6x + 9Step 8: Simplifying, we get y = -8(x + 3)² - 72.Step 9: The function y in factored form is f(x) = -8(x + 3)² - 72. Here, a = -8 and r = -3. Since the function is in the form f(x) = a(x - r)(x - s), we can find s by dividing -72 by -8 and adding r to the quotient. That is, s = (-72/-8) - 3 = 6 - 3 = 3. Therefore, the factored form of the function y = -8x(x + 6) is f(x) = -8(x + 3)(x - 3). The values of a, r, and s are -8, -3, and 3, respectively.

Learn more about Factored form

brainly.com/question/9972555

#SPJ4

An account with an initial balance of $3500 earns interest that is compounded annually. If no other deposits or withdrawals are made, the account will have a balance of $4390.40 after 2 years. Find the annual interest rate.

Answers

Therefore, the annual interest rate is approximately 12%.

What factors determine interest rates?

How to compute interest is as follows: P x R x T is the formula for calculating interest. Principal Amount is P. (the beginning balance). rates of interest (usually per year, expressed as a decimal). T stands for the value T. (generally one-year time periods).

Let r be the annual interest rate as a decimal. Then the balance after 2 years is given by:

Balance = 3500(1+r)²

Setting this equal to $4390.40 and solving for r, we have:

4390.40 = 3500(1+r)²

Dividing both sides by 3500 and taking the square root, we get:

(1+r)² = 4390.40/3500 = 1.2544

Taking the square root of both sides, we get:

1 + r = √(1.2544) ≈ 1.12

Subtracting 1 from both sides, we get:

r ≈ 0.12 or 12%

Therefore, the annual interest rate is approximately 12%.

To know more about interest rate visit:

https://brainly.com/question/13324776

#SPJ1

what is the surface area of prism. base=5. height=2. length=3

Answers

Answer:

62

Step-by-step explanation:

Surface area of a prism = S = 2(lw + lh + wh)

where l = length

w = width

h = height

Given l = 3, w = 5 and h = 2

S = 2(3 x 5 + 3 x 2 + 5 x 2)

= 2(15 + 6 + 10)

= 2(31)

= 62

6. andrew is flipping over the cards in a standard 52-card deck. he continues until he has revealed an ace. what is the probability that no face card has been revealed? what is the expected number of face cards he has revealed?

Answers

The probability that no face card has been revealed is 1/3.

The expected number of face cards he has revealed is 12.

Probability is the branch of mathematics that deals with uncertainty. When a fair die is rolled, there are 6 possible outcomes. A deck of 52 cards has 13 ranks of four suits each. These suits are spades, clubs, hearts, and diamonds. A standard deck of cards contains 26 red cards and 26 black cards.

There are four aces in a deck of 52 cards. The probability of obtaining an ace on the first attempt is

4/52 ⇒ 1/13 ⇒ 0.0769.

The probability of not getting an ace on the first try is

48/52 ⇒ 12/13 ⇒ 0.9231.

The second attempt at drawing an ace is conditional on the first attempt.

If the first attempt results in not getting an ace, the probability of getting an ace on the second attempt are 4/51.

If the first attempt is unsuccessful, the probability of not getting an ace on the second attempt is 47/51.

The probability of getting an ace on the third attempt, after the first two attempts have failed, is 4/50.

The probability of not getting an ace on the third attempt is 46/50. And so on...

The probability of not revealing any face card is 16/48 = 1/3 because there are 16 non-face cards in the deck.

The expected number of face cards he has revealed is 12, and the expected number of non-face cards he has revealed is 40.

To know more about the "probability": https://brainly.com/question/5858025.

#SPJ11

What function does this graph represent?

Answers

We can conclude after answering the provided question that  If the data expression points are arranged in a curve, the function could be a quadratic, exponential, or other non-linear equation.

what is expression ?

In mathematics, an expression is a grouping of representations, digits, and huge corporations that resemble a clear relationship or regimen. An expression can be a real number, a transitory, or a combination of the two. Addition, subtraction, pervasiveness, division, and exponentiation are examples of mathematical operators. Expressions are common in arithmetic, mathematics, and geometry. They are used in mathematical formula representation, equation solution, and mathematical relationship simplification.

This graph appears to be a scatter plot of data points based on the visual representation you provided. The values of an independent variable are represented by the horizontal axis (x-axis), while the values of a dependent variable are represented by the vertical axis (y-axis).

Without any additional information, determining the specific function represented by this graph is difficult. The shape and pattern of the scatter plot, on the other hand, can provide some insight into the relationship between the two variables. If the data points are arranged in a linear pattern, for example, the function could be a linear equation. If the data points are arranged in a curve, the function could be a quadratic, exponential, or other non-linear equation.

To know more about expression visit :-

https://brainly.com/question/14083225

#SPJ1

Determine the quadrants in which the points are located: A=(2,-3) B=(-4,1) A is in quadrant IV and B is in quadrant II. A is in quadrant II and B is in quadrant IV. A is in quadrant I and B is in quadrant IV. A is in quadrant IV and B is in quadrant I.

Answers

The quadrants in which the points A = (2,-3) B = (-4,1) as required to be determined are fourth and second quadrant respectively.

What quadrants are the given points located?

As evident from the task content; the quadrant in which the given points are located are to be determined.

On the Cartesian plane; given a pair of coordinates (x, y).

In the first quadrant; x is positive and y is positive.

In the second quadrant; x is negative and y is positive.

In the third quadrant; x is negative and y is negative.

In the fourth quadrant; x is positive and y is negative.

Ultimately, the point A = (2, -3) is located in the fourth quadrant and the point B = (-4, 1) is located in the second quadrant.

Read more on quadrants;

https://brainly.com/question/28587485

#SPJ1

Other Questions
Oil spills are particularly devastating for organisms living on the ocean floor. A. True B. False Pls pls helppp pls help 31. the delaware river joint toll bridge commission increased the toll on the bridges on route 22 and interstate 78 from new jersey to pennsylvania from $.75 to $1.25. use the information in the table to answer the questions. (assume that nothing other than the toll change occurred during the months that would affect consumer demand.) number of vehicles crossing the bridges month toll route 22 bridge november $.75 519,347 728,032 interstate 78 bridge december $1.25 433,699 656,267 a) calculate the price elasticity of demand for each bridge. b) the total revenue collected by the commission from these bridges in november was . the total revenue collected by the commission from these bridges in december was . how do your findings relate to your answers in part a? An assistant of yours has been eriteixed over a piece of asseaned work that he produced for his study cour se for giving the definition of an asset as "a physicat asset of substantial cost, owned by the company, whioh will last longer than one yearn: Required: Provide an explanation or wair assistant of any two (2) weaknesses of hes definition of as. on whon cumpared Io the International Accounting Standinds Boards (AASIB ricw of a ainits, los matirs) Question mo Ax) Expinh how-tach of these matters should be accounted for; (10 Marks) 1. Acumpanypurchasei an aireraf for USD 89.6 Million. Under civil aviation rules, the aircraitirequires a majorinpection every three years at a cost of USP 200,000 . Thite - yeats after the purchase of the aircraft it undergoes its first major inspection the costs in relation-to the inspection amouted 10log220,000 2. On I June 2009, a company spent Tshs.6,000,000 to replace the wail lining of ons of its two heaters. The heater had been acquired six vears previouly and had a carrying value, at 1er June 2009, amounting to Tshs. 42,000,000. The expendieure is enpected to restore, the originally assessed standand of performance of the heiters. Papetolt PLS HELP DUE TOMORROW!! Rewrite in simplest term: -6(0.6w-3w-0.9)-0.9w pelase help quick 25 points it 6th grade math assume variables (a, b, c, and max) have been declared. in this code fragment of if and nested if statements, identify the error type as syntax or logic on each indicated code line. if(a > b) { Find the area of the shaded segment of the circle the dna fingerprints were made from blood samples taken from a puppy and four possible sires of this puppy in an effort to determine the puppy's pedigree. according to this information, which sire was probably the father of this puppy? You know that people are often more generous when donating to a cause after seeing a moving photograph than hearing impersonal statistics. In this case, research on the ____________ confirms that a picture is worth a thousand words The energy conversation in an electrolytic cell is(a)electrical to chemical (b)electrical to mechanical (c)chemical to electrical (d)chemical to mechanical Tracy become an AMT taxpayer last year. She gave you the following information for the year: $25,000 in property taxes paid on her principal residence that was paid in advance. $90,000 difference between the fair market value of stock and the strike price in the NQSO used to purchase the stock. $8,000 in interest on public activity municipal bonds. $20,000 in additional medical expenses (in excess of hurdle rate of 10% - 7.5% for 2017 and 2018).Which of the following statements is true?a. The NQSO will create an AMT credit.b. The medical expenses, property taxes and interest on the public activity bond will be a preference forAMT.c. Options a and b will be a positive adjustment for AMT.d. The property taxes paid will be a positive adjustment for AMT. What is the total interest on a 4-year term loan of$1,700 with a simple annual interest rate of 8%? A. $544B. $554C. $564D. $574 An object of mass 50 g is attached to a string of length 50 cm which will break if tension is 20 N. The object is whirled in a vertical circle, the axis of rotation being at a height of 100 cm above the ground. The angular speed is very slowly increased until the string breaks. In what position is the week is likely to occur and of what angular speed? Where will the object hits the ground? Please help!Questions below! Which of these people does agricultural work?A. a nurseB. an accountantC. a crop inspectorD. a music teacher 14. Weather forecasts will often give reports on the pollen count. For people withallergies, the pollen count indicates the severity of their symptoms. High pollencount means bad symptoms. A medium pollen count is greater than 4 and lessthan or equal to 8. Write an inequality for a high pollen count. Write anotherinequality for a low pollen count? Identify the value for the variable.What is the value of x in this simplified expression?7-9-7-3-7xx=What is the value of y in this simplified expression?114= 11118y= Analyzing informational texts mastery test