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3 years ago

3. What is the average speed in miles per hour if it takes 25 minutes to travel 4 miles?

Mathematics

2 answers:

alekssr [168]3 years ago

6 0

Answer:

9.6 miles per hour

Step-by-step explanation:

First find the unit rate.

25/4= 0.16 miles per minute

Then multiply by 60 ( which we know theres 60 minutes in a hour.)

0.16x60=9.6

Ghella [55]3 years ago

5 0

9.6 miles per hour is the average speed in miles per hour that takes 25 minutes to travel 4 miles.

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Find the volume of the sphere. Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and round

olga55 [171]

Answer:

3053.63

Step-by-step explanation:

Use the equation for sphere volume: $V=\frac{4}{3}\pi r^3$

Plug the values in and get $V=\frac{4}{3}\pi 9^3=3053.62805929$

≈ 3053.63

Note: exact value of pi used.

8 0

2 years ago

Read 2 more answers

WILL MARK BRAINLIEST <br><br> what is the domain of (f/g) (x)?

tatyana61 [14]

Given that $f(x) = \sqrt{7-x}$ and $g(x) = \sqrt{x + 2}$ , we can say the following:

$\Bigg(\dfrac{f}{g}\Bigg)(x) = \dfrac{f (x)}{g(x)} = \dfrac{\sqrt{7 - x}}{\sqrt{x+2}}$

Now, remember what happens if we have a negative square root: it becomes an imaginary number. We don't want this, so we want to make sure whatever is under a square root is greater than 0 (given we are talking about real numbers only).

Thus, let's set what is under both square roots to be greater than 0:

$\sqrt{7 - x} \Rightarrow 7 - x \geq 0 \Rightarrow x \leq 7$

$\sqrt{x + 2} \Rightarrow x + 2 \geq 0 \Rightarrow x \geq -2$

Since both of the square roots are in the same function, we want to take the union of the domains of the individual square roots to find the domain of the overall function.

$x \leq 7 \,\,\cup x \geq -2 = \boxed{-2 \leq x \leq 7}$

Now, let's look back at the function entirely, which is:

$\Bigg( \dfrac{f}{g} \Bigg)(x) = \dfrac{\sqrt{7 - x}}{\sqrt{x+2}}$

Since $\sqrt{x + 2}$ is on the bottom of the fraction, we must say that $\sqrt{x + 2} \neq 0$ , since the denominator can't equal 0. Thus, we must exclude $\sqrt{x + 2} = 0 \Rightarrow x + 2 = 0 \Rightarrow x = -2$ from the domain.

Thus, our answer is Choice C, or $\boxed{ \{ x | -2 < x \leq 7 \}}$ .

<em>If you are wondering why the choices begin with the $x |$ symbol, it is because this is a way of representing that $x$ lies within a particular set.</em>