Convert 32 feet per second to kilometers per hour. (Hint: There are 5280 feet in a mile, and one mile is 1.61 kilometers)

Step by Step please​

First clear the bracket of the inner fraction's numerator. This would allow you to reduce the inner fraction to lowest terms.

Given the expression

[tex](\frac{(2r^2t)^3}{4t^2})^2[/tex]

In order to simplify, note that the numerator and denominator of the fraction

[tex]\frac{(2r^2t)^3}{4t^2}[/tex]

have common factors. So, we would first remove the bracket in the numerator. This would allow us to reduce the fraction to lowest terms.

To clear the numerator's bracket, note that

[tex](2r^2t)^3=(2r^2t)\times(2r^2t)\times(2r^2t)\\=(2\times2\times2)\times(r^2\times r^2\times r^2)\times(t\times t\times t)\\=8\times r^6 \times t^3=8r^6 t^3[/tex]

that was long. The shorter way was to do the following

[tex](2r^2t)^3=2^3\times r^{2\times3}\times t^3=8r^6t^3[/tex]

so back to the original question, to simplify

[tex](\frac{(2r^2t)^3}{4t^2})^2[/tex]

we would do

[tex](\frac{(2r^2t)^3}{4t^2})^2=(\frac{2^3r^{2\times3}t^3}{4t^2})^2\\\\=(\frac{8r^6t^3}{4t^2})^2[/tex]

Now that we have removed the bracket from the numerator, we can now accomplish the step of reducing the fraction to lowest terms

[tex](\frac{8r^6t^3}{4t^2})^2=(\frac{8}{4}\times r^6\times \frac{t^3}{t^2})^2\\=(2\times r^6\times t^{3-2})^2\\=(2\times r^6\times t^1)^2\\=(2r^6t)^2[/tex]

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Answer:

Domain and Range. The domain of a function is the set of values that we are allowed to plug into our function. This set is the  values in a function such as ). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an  value in.

Step-by-step explanation:

Answer:

\sqrt(3)[cos((4\pi )/(45))+isin((4\pi )/(45))]

Step-by-step explanation:

The first one.

Answer:

16.2

Step-by-step explanation:

Answer:

15,000

Step-by-step explanation:

3 times 5 is 15, just add the 3 zeros.

15,000 is the partial product of 3000*5.

A partial product is a product obtained when we multiply a multiplicand by one digit of a multiplier that has more than one digit.

Given that, 3000*5

3000*5 = 15000

Hence, the partial product of 3000*5 is 15000.

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[tex]8 \times 835 = 6680[/tex]

Answer:

the answer will be 6680

Step-by-step explanation:

the general slope intercept form is

y = ax + b

a is the slope. a parallel line must have the same slope.

in our case here it is -3.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the equation and solve for b :

-4 = -3×-9 + b = 36 + b

b = -40

so, the full equation of the parallel line is

y = -3x - 40

Answer:

One Solution

x = -9/2

Step-by-step explanation:

Answer:

1.75 feet in the blueprints for the width

2 feet in the blueprints for the length

Step-by-step explanation:

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The values of the new angles formed measure 87.5° each.

Angles are formed by the intersection of two lines sharing a common endpoint.

Bisect means to divide into two equal parts. Bisection of an angle is to divide an angle into two equal parts.

Given a 175 degree angle is bisected, the measure of each angle is:

Measure of each angle = 175 / 2 = 87.5°

The values of the new angles formed measure 87.5° each.

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Answer:

x=10

Step-by-step explanation:

Answer:

First two equations

Step-by-step explanation:

9-3x=0

9=3x

3=x

x=3

2x+4=10

2x=6

x=3

9x-1=4

9x=5

x=5/9

3x+1=9

3x=8

x=8/3

x^3+5=6

x^3=1

x=1

5x-7=1

5x=8

x=8/5

Option B is correct, the circle with center F and diameter 20 units is the circle which has a radius of 10 units.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Radius of a circle is the distance from the center of the circle to any point on it's circumference.

The distance across a circle through the centre is called the diameter.

Diameter = 2 × radius

In the given figures, option B has a diameter of 20

so radius = diameter /2

=20/2

=10 units

Hence, option B is correct, the circle with center F and diameter 20 units is the circle which has a radius of 10 units.

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Answer:

6×3×4= 72 unit cubes

................................

Answer:

-7

Step-by-step explanation:

[tex]\frac{(8-1)}{(6-7)}[/tex] = [tex]\frac{7}{-1}[/tex] = -7

Answer:

332.12

Step-by-step explanation:

Answer:

I believe that its C, but don't get mad at me if I get it wrong

Answer: EACH FRIEND GETS 32 DOLLARS

Step-by-step explanation:

DIVIDE 96 BY 3

Answer:

$32

Step-by-step explanation:

Divide 96 to 3

96 ÷ 3

= $32

Using the Central Limit Theorem, it is found that the standard deviation for the sampling distribution of sample means is given by:

[tex]s = \frac{\sigma}{\sqrt{51}}[/tex].

The Central Limit Theorem states that, the sampling distribution of sample means of size n, from a population with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], has mean [tex]\mu[/tex] and standard deviation, which is also called standard error, [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this question, 51 samples, hence, [tex]n = 51[/tex]

Hence, applying the Central Limit Theorem, the standard deviation for the sampling distribution of sample means is given by:

[tex]s = \frac{\sigma}{\sqrt{51}}[/tex].

A similar problem, which also involves the Central Limit Theorem, is given at https://brainly.com/question/24663213

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

y is directly proportional to the square root of ( x-3):

Given:

Find k:

Find y when x = 39:

Answer:

y = 24

Step-by-step explanation:

Given y is directly proportional to [tex]\sqrt{x-3}[/tex] then the equation relating them is

y = k[tex]\sqrt{x-3}[/tex] ← k is the constant of proportion

To find k use the condition when x = 28, y = 20 , then

20 = k × [tex]\sqrt{28-3}[/tex] = k × [tex]\sqrt{25}[/tex] = 5k ( divide both sides by 5 )

4 = k

y = 4 [tex]\sqrt{x-3}[/tex] ← equation of proportion

When x = 39 , then

y = 4 × [tex]\sqrt{39-3}[/tex] = 4 × [tex]\sqrt{36}[/tex] = 4 × 6 = 24

Answer:

1. C ≈ 43.9823

2. C ≈ 37.6991

Step-by-step explanation: c=2π · r

Given the function [tex]f(x)=8^x+7[/tex], the value of f(1) is f(1)  =  15

The given function is:

[tex]f(x)=8^x+7[/tex]

To find f(1), substitute x = 1 into f(x) and evaluate for the result

[tex]f(1)=8^1+7[/tex]

Simplify the resulting equation to get the final result

f(1)  =  8  +  7

f(1)   =  15

Therefore, given [tex]f(x)=8^x+7[/tex], the value of f(1) is f(1)  =  15

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Answer:

1. the slope is 3/1 = 3

2. the y-intercept is 2

Step-by-step explanation:

hope this helps :)

Answer:

(x+a)²-7=x²+10x+b

simplifying,we get

x²+2ax+a²-7=x²+10x+b

the coefficient of x on both sides should be equal

therefore

2a=10

a=10/2=5

also for b

a²-7=b

5²-7=25-7=b

b=18

a=5

Answer:

Not

Step-by-step explanation:

In this case, the degree of variable y is 1 , the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.

Answer:

-1/2

Step-by-step explanation:

Tell me if you want a step by step.

Hope this helps. :)

Answer:

-1/2

Step-by-step explanation:

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