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4 years ago

What is the simplest form of the expression for the side length, in feet?

Mathematics

2 answers:

Dafna1 [17]4 years ago

8 0

Answer:What's the question?

gogolik [260]4 years ago

5 0

Answer:

The answer is C 10 sqrt 2

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The height of a cylinder is 10 and the area of a base is 36 pi square units. What

ollegr [7]

Answer:

1130.97336 units^3

Step-by-step explanation:

The volume of a cylinder can be found using:

$v=\pi r^2h$

We have the area of the base, but not the radius

$a=\pi r^2$

We know the area is $36\pi$ , so we can substitute that in for a

$36\pi =\pi r^2$

We want to find r, so we need to isolate it

Divide both sides by pi

36=r^2

Take the square root of both sides

6=r

Now we know the radius, and can substitute it into the volume formula, and we can substitute the height (10) in

$v=\pi r^2h$

$v=\pi 6^210$

Solve the exponent

$v=\pi 36(10)$

$v=\pi 360$

v=1130.97336

The volume is 1130.97336 units^3

6 0

4 years ago

The data are the number of machines in a gym. You sample five gyms. One gym has 12 machines, one gym has 15 machines, one gym ha

Verizon [17]

Answer:

Quantitative discrete data.

Step-by-step explanation:

We have been given a data for the number of machines in five gyms. One gym has 12 machines, one gym has 15 machines, one gym has ten machines, one gym has 22 machines, and the other gym has 20 machines. We are asked to determine the type of the data.

We can see that our given data represents quantity of machines, so our data will be a quantitative data.

Since each gym has a specific number of machines, so our data is discrete and it is not continuous.

Therefore, our given data is a quantitative discrete data.

5 0

4 years ago

An exponential function is given by the equation y=3x. Using the points xx and x+1x+1, show that the y-values increase by a fact

Kobotan [32]

Answer:

Here we have the function:

y = f(x) = 3^x

Using the values:

x and (x + 1)

We need to find that the y-value increases by a factor of 3.

So we need to prove that:

f(x + 1) = 3*f(x).

Or we can see the quotient:

f(x + 1)/f(x) = 3

Here we can find the values:

f(x + 1) = y = 3^(x + 1)

f(x) = y' = 3^x

If we take the quotient, we get:

$\frac{f(x + 1)}{f(x)} = \frac{3^{x + 1}}{3^x}$

Here we can use the properties:

$a^n*a^m = a^{n + m}$

$\frac{a^n}{a^m} = a^{n - m}$

Using these in the quotient equation we get:

$\frac{f(x + 1)}{f(x)} = \frac{3^{x + 1}}{3^x} = \frac{3^x*3^1}{3^x} = \frac{3^x}{3^x}*3 = 1*3 = 3$

Then:

$\frac{f(x + 1)}{f(x)} = 3$

$f(x + 1) = 3*f(x)$

So we found that the y-value increases by a factor of 3 between any two points x₂ and x₁ such that: x₂ - x₁ = 1.

3 0

4 years ago

Which value makes the equation 3x - 6 = 36 true?

steposvetlana [31]

Answer:

C) 14

Step-by-step explanation:

3x-6=36

3x=36+6

3x=42

x=42/3

x=14

3 0

3 years ago

I need help with the bottom question

Sati [7]

Answer:

Step-by-step explanation:

they want to know a point on the line... that has a gradient ( think slope ) of -1/3 and has the point of (-2,5) on it. So find the formula for that line

with the point slope formula y-y1 = m(x - x1)

plug in what we know

y - 5 = - 1/3 (x -(-2))

y - 5 = -1/3(x+2)

y - 5 = -1/3x - 2/3

y = - 1/3x - 2/3 + 5

y = - 1/3x + 4 1/3

y = -1/3x + 13 / 3

Now use your formula to find any new point plug in 1 for x ( b/c it's easy)

y = 12/3 when x= 1. so ( 1, 4 ) is another point on the line :)

don't forget to show your work :P

5 0

3 years ago