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2 years ago

What is the radius of the sphere?

Mathematics

1 answer:

Tpy6a [65]2 years ago

6 0

Answer:

32/3 cubic

Step-by-step explanation:

D.32/3

32/3=32:2= D.8 units

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Troyanec [42]

Assuming you are focusing on the square only, then the answer is 9 inches.

You take the square root of 81 to get 9. Notice how 9^2 = 9*9 = 81. So if you're not familiar with square roots, then think backwards in a sense to get the answer.

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2 years ago

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viva [34]

Answer:

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Step-by-step explanation:

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2 years ago

Ross and 5 of his friends are going kayaking. They rented 6 kayaks for $420. Then they bought food for all 6 people, which cost

Minchanka [31]

$420+$144=$564
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5 0

2 years ago

Let g be the function given by g(x)=limh→0sin(x h)−sinxh. What is the instantaneous rate of change of g with respect to x at x=π

lorasvet [3.4K]

The instantaneous rate of change of g with respect to x at x = π/3 is 1/2.

<h3>How to determine the instantaneous rate of change of a given function</h3>

The instantaneous rate of change at a given value of $x$ can be found by concept of derivative, which is described below:

$g(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}$

Where $h$ is the difference rate.

In this question we must find an expression for the instantaneous rate of change of $g$ if $f(x) = \sin x$ and evaluate the resulting expression for $x = \frac{\pi}{3}$ . Then, we have the following procedure below:

$g(x) = \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}$

$g(x) = \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}$

$g(x) = \lim_{h \to 0} \frac{\sin h}{h}\cdot \lim_{h \to 0} \cos x$

$g(x) = \cos x$

Now we evaluate $g(x)$ for $x = \frac{\pi}{3}$ :

$g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}$

The instantaneous rate of change of g with respect to x at x = π/3 is 1/2. $\blacksquare$

To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/11606037

4 0

1 year ago

Which algebraic expression is equivalent to the expression below? [x +2 - (5x + 5)]2

kvv77 [185]

[x + 2 - (5x + 5)] ² =
[x + 2 - 5x - 5]² =
[x - 5x + 2 - 5]² =
[-4x - 3]² =
(-4x)² - 2.(-4x).3 + (-3)² =
16x² + 24x + 9

Answer:
 $\boxed{C = 16x^2 + 24x + 9}$

6 0

2 years ago