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3 years ago

13

What is the domain of the function f(x)=2/5 sqrt x

1 answer:

valkas [14]3 years ago

7 0

Answer:

$x\geq 0$

Step-by-step explanation:

Think about what the square root is actually doing: it's telling you what number multiplied by itself will reset in the value. For example, the square root of 25 is 5, since 5 * 5 = 25.

Think about the square root of a negative number. What number multiplied by itself will result in a negative number? There is none, since a negative number times itself will result in a positive number. Therefore, you can only take the square root of positive numbers. You can also take the square root of 0, since 0 * 0 = 0.

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After the booster club sold 40 hotdogs at a football game, it had $90 in profit. After the next game, it had sold a total of 80

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3 years ago

Read 2 more answers

a film canister in the shape of a cylinder has a height of 8 centimeters and a volume of the film canister. write an equation fo

uranmaximum [27]

Answer:

Part a) The equation for the volume of the film canister is

$32\pi=\pi r^{2}(8)$

Part b) The radius of the film canister is $2\ cm$

Step-by-step explanation:

<u><em>The complete question is</em></u>

A film canister in the shape of a cylinder has a height of 8 centimeters and a volume of 32π cubic centimeters.

a. Write an equation for the volume of the film canister.

b. What is the radius of the film canister?

Part a) Write an equation for the volume of the film canister

we know that

The volume of a cylinder is equal to

$V=\pi r^{2} h$

where

r is the radius of the circular base

h is the height of the cylinder

we have

$V=32\pi\ cm^3$

$h=8\ cm$

substitute

$32\pi=\pi r^{2}(8)$ ----> equation for the volume of the film canister

Part b) What is the radius of the film canister?

we have

$32\pi=\pi r^{2}(8)$

$32\pi=8\pi r^{2}$

Simplify

Divide by 8π both sides

$4=r^{2}$

square root both sides

$r=2\ cm$

8 0

3 years ago

At a military function, three cannons are fired at intervals of 12

Morgarella [4.7K]

Answer:

144 seconds

Step-by-step explanation:

To do solve this question, we must find the LCM (least common multiple) of 12, 16, and 18.

Let's start by prime factorizing (finding the prime factors) all the numbers.

$12\rightarrow3*4\rightarrow2*2*3$

$16\rightarrow4*4\rightarrow2*2*2*2$

$18\rightarrow2*9\rightarrow2*3*3$

Now, we must find the greatest quantity of each [prime] number and multiply them together to obtain the least common multiple.

Upon further evaluation of the [prime] factors, we can see that we need four 2s and two 3s. Therefore...

$2*2*2*2*3*3=2^4*3^2=16*9=144$

They will be fired together again after 144 seconds.

3 0

2 years ago