a merry go round has a radius of 18 ft if a passenger gets on a horse located at the edge of thevwheel and travels 38 ft find the angle of rotation to the nearest degree

Answer:

0.35% of students from this school earn scores that satisfy the admission requirement.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The combined SAT scores for the students at a local high school are normally distributed with a mean of 1479 and a standard deviation of 302.

This means that \(\mu = 1479, \sigma = 302\)

The local college includes a minimum score of 2294 in its admission requirements. What percentage of students from this school earn scores that satisfy the admission requirement?

The proportion is 1 subtracted by the pvalue of Z when X = 2294. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{2294 - 1479}{302}\)

\(Z = 2.7\)

\(Z = 2.7\) has a pvalue of 0.9965

1 - 0.9965 = 0.0035

0.0035*100% = 0.35%

0.35% of students from this school earn scores that satisfy the admission requirement.

The intersection between the set of basketball players and the set of track athletes is given by:

{Tadesse, Nickerson}

The intersection between two sets is the set containing the elements that belong to both sets which we are calculating the intersection.

In the context of this problem, the sets are given as follows:

The intersection is composed by athletes that are both basketball players and track athletes, hence it is given as follows:

{Tadesse, Nickerson}

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Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.

We have,

For Matthew's investment, the continuous compounding formula can be used:

\(A = P \times e^{rt}\)

Where:

A = Final amount

P = Principal amount (initial investment)

e = Euler's number (approximately 2.71828)

r = Annual interest rate (in decimal form)

t = Time (in years)

In this case,

Matthew's money has tripled,

So A = 3P.

For Parker's investment, the formula for compound interest compounded annually is used:

\(A = P \times (1 + r)^t\)

Where:

A = Final amount

P = Principal amount (initial investment)

r = Annual interest rate (in decimal form)

t = Time (in years)

We need to find t when Matthew's money has tripled in value.

Let's set up the equation:

\(3P = P \times e^{rt}\)

Dividing both sides by P, we get:

\(3 = e^{rt}\)

Taking the natural logarithm of both sides:

ln(3) = rt

Now we can solve for t

t = ln(3) / r

For Matthew's investment,

r = 3 1/8% = 3.125% = 0.03125 (as a decimal).

For Parker's investment,

r = 2 3/4% = 2.75% = 0.0275 (as a decimal).

Now we can calculate t for Matthew's investment:

t = ln(3) / 0.03125

Using a calculator, we find t ≈ 22.313 years.

Now, we can calculate how much money Parker would have in his account at that time:

\(A = P \times (1 + r)^t\)

\(A = $8,000 \times (1 + 0.0275)^{22.313}\)

Using a calculator, we find A ≈ $13,774.

Therefore,

Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.

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Answer:

20,763

Step-by-step explanation:

I saw the answer after I got it wrong

Answer:

141

Step-by-step explanation:

First, we choose two variables to represent the two unknown numbers, the number of hamburgers and the number of cheeseburgers.

Let x = number of hamburgers.

Let y = number of cheeseburgers.

Now we use the given information to write two equations using the variables we defined above.

"If a hamburger shop sold a combined total of 423 hamburgers and cheeseburgers"

x + y = 423

"the number of cheeseburgers sold was two

times the number of hamburgers sold"

y = 2x

We have a system of two equations.

x + y = 423

y = 2x

Since the second equation is already solved for y, we can easily use the substitution method. We substitute what y equals to (2x) for y in the first equation.

x + y = 423

x + 2x = 423

3x = 423

x = 141

Since we let x = number of hamburgers, we have the answer.

Answer: 141

D (6,-3) and the area is 30 square feet tall.

Answer:

it should be 3 units to the left

Step-by-step explanation

table takes alot of time that i dont have

Answer:

2

Step-by-step explanation:

24*w = 288

w = 288 /24

w = 12

24 ÷ w = 24 ÷ 12 = 2

Last year, Craig had 10 records.

Now, he has 12 records.

What is the percent increase?

The percent increase is given by

In this case,

Old value = 10 records

New value = 12 records

Therefore, there is a 20% increase in his record collection.

Geometric mean, like arithmetic mean, is a kind of average and a measure of central tendency.

To solve for the geometric mean, we multiply the numbers together and then take a square root (for two numbers), cube root (for three numbers) etc. In other words, geometric mean is the nth root of the product of n values.

The formula for the geometric mean is given by:

GM = n√x1 x2 . . . xn

Solving for the geometric mean between 1/5 and 60 using the formula:

GM = n√x1 x2 . . . xn

where n = 2, x1 = 9/16, and x2 = 25/3

GM = √(9/16(25/36)

GM = 0.625

Hence, the geometric mean of 9/16 and 25/36 is 0.625

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The function is continuous only if m = 7.

If the function is continue, then the value of the function needs to be the same one in both pieces of the function when we evaluate in x = -2

That means that:

f(-2) = f(-2)  (trivially)

Replacing the two pieces of the function we will get:

m*(-2) - 6 = (-2)^2 + 10*(-2) - 4

now we can solve that equation for m.

-2m - 6 = 4 -20 - 4

-2m = -20 + 6 = -14

m = -14/-2 = 7

m = 7

that is the value of m.

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Answer:

It would be just f(x)=(4x+3) as the +2 in the original equation is translating the graph 2 units up from the x-axis

Step-by-step explanation:

f(x)=(4x+3)+2

f(x)=(4x+3)+2 -2

f(x)=(4x+3)

Answer:

x = 2

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × breadth

given the rectangles have equal areas then equating the two areas gives

4x × 9 = 4(6x + 6) , that is

36x = 24x + 24 ( subtract 24x from both sides )

12x = 24 ( divide both sides by 12 )

x = 2

Answer:

I think goes 130 and then  180 then 120 it's need to be to have an angle i think.  

Step-by-step explanation:

Because it's a-c so abc is 120  

a-b is 130 and b-c it's gona be 180  

I might be wrong but i have 2 answer 120 130 180 or

130 180 120.

Answer:

7.7

Step-by-step explanation:

I did it on edu!

You can use the fact that area of a rectangle is its length times its width.

The length of the given rectangle is 28 feet.

Area of a rectangle is its length times its width.

If a rectangle has length x units and width y units, then we have:

\(Area = x \times y \: \rm unit^2\)

Most of the times, you will get some other facts or information by which the unknown values of those items can be known. For simple daily life cases, we can use variables, which are nothing but just placeholders for those unknown values. We can then operate on those variables assuming them to be actual values, thus, getting near to their original values.

Let the length of the given rectangle be x units, and let its width be y

Then as it is given that

Length of the rectangle = 2 times width of the rectangle

or

\(x = 2 \times y\)

We have area= 392 square feet

Since area = length times width, thus, we have

\(Area = x \times y\\392 = 2 \times y \times y\\\\\dfrac{392}{2} = y^2\\\\y^2 = 186\\\\\text{\:(Taking positive root on both the sides since y is width, a non negative quantity)}\\\\y = \sqrt{196} = 14\)

Thus, the width of the rectangle is 14 feet

And thus, the length of the rectangle = double of width = 28 feet.

Thus,

The length of the given rectangle is 28 feet.

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Answer:

Option E

Step-by-step explanation:

It is given in the question that both the triangles are similar.

By the property of similarity of two figures,

Corresponding sides of the similar figures are proportional.

\(\frac{x}{25}=\frac{24}{15}= \frac{48}{30}\)

\(\frac{x}{25}=\frac{24}{15}\)

x = \(\frac{24\times 25}{15}\)

x = 40

Therefore, measure of the missing sides is 490 units.

Option E will be the answer.

Answer:

number 4 is the correct answer for it equals 36

Answer:

The answer is (-2,2).

Step-by-step explanation:

Reflect across the x axis rule. (x,-y)

Reflect across the y axis rule. (-x,y)

H' = (2,2)

H'' = (-2,2)

Hope it helps!

The number of pounds of strawberries sold and the number of pounds of grapes sold is 32 and 20 respectively.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given that the selling price of strawberries each pound = $2.50,

The selling price of grapes each pound = $2

The total earning = $160

Let x is the no of a pound of strawberries and y is the no of a pound of grapes sold, then equation will be,

x = y + 12 and 2.50x + 2y= 160

Solve the equation by substitution method;

x = 32 and  y = 20

Therefore, the number of pounds of strawberries sold is 32

the number of pounds of grapes sold is 20.

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Answer:

63 im pretty sure I'm sorry if its not

Answer:

C. y = x - 4

Step-by-step explanation:

A.

y = x + 4

-1 = 3 + 4

-1 = 7

B.

y = -3x

-1 = -3(3)

-1 = -9

C.

y = x - 4

-1 = 3 - 4

-1 = -1

D.

y = 3x

-1 = 3(3)

-1 = 9

Based on the description provided, the section of the chart that represents the point where a bill is first debated in subcommittees is: C and D

In the given chart, the parallel lines represent the progression of a bill through various stages in the legislative process. The boxes on the top line represent one set of actions or steps, while the boxes on the bottom line represent another set of actions or steps.

Moving from left to right on the chart, the boxes A and B are paired, representing a particular stage in the process. Similarly, the boxes C and D are paired, indicating another stage in the process.

In the context of the question, the stage where a bill is first debated in subcommittees is represented by the boxes C and D.

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The height of the box that has a volume of 1250 cubic cm with a length of 20cm and a width of 5cm will be 12.5cm.

It should be noted that the formula for the volume will be:

= Length × Width × Height

Therefore the height will be:

Volume = LWH

where

L = length = 20cm

W = width = 5cm

H = height = unknown

1250 = (20 × 5 × H)

1250 = 100H

Height = 1250/100

Height = 12.5 cm

Therefore, the height is 12.5cm.

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The only true statement about the domain of the given function is:

B. f(x) is negative for all x < -5

The domain of a function is defined as the set of values that we can possibly plug into our function. This set is the x values in a function such as f(x).

Now, we are given the function as:

f(x) = \(\frac{2}{x^{2} } + 3x - 10\)

When x < -5, we have:

f(-4) = \(\frac{2}{(-4)^{2} } + 3(-4) - 10\)

f(-4) = -21.875

This suggests that for all values below x = -5 will result in negative values

When x > 2

f(3) = \(\frac{2}{3^{2} } + 3(3) - 10\)

f(3) = -0.78

Thus, it will get positive for higher values but it can also be negative as seen here.

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