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3 years ago

A sphere has a volume of V=900 in cubed. What is the surface area?

1 answer:

4 0

First, we must solve for the radius of the sphere:
V= $\frac{4}{3}$ $\pi$ $r^{3}$
r=(3 $\frac{V}{4 \pi }$ ) $^{ \frac{1}{3} }$
r=(3* $\frac{900}{4 \pi }$ ) $^{ \frac{1}{3} }$
r≈5.99

Second, we must solve for surface area:
A=4 $\pi$ $r^{2}$
A=4* $\pi$ * $5.99^{2}$
A≈450.88 $in^{2}$

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Subtracting a polynomial has the same result as adding its additive inverse.

morpeh [17]

The answer is true...

Why?

Let's take (2x) as a simple polynomial. Subtracting 2x from 2x is one thing, then adding it's inverse, (-2x) yields the equation to 0. This is why it is true...

Hope this helps!! Please give me brainliest!

7 0

4 years ago

-px+r=-8x-2<br> Solve for x

lions [1.4K]

So firstly, add px onto both sides of the equation: $r=-8x+px-2$

Next, add 2 to both sides of the equation: $r+2=-8x+px$

Next, factor out -x on the right side of the equation: $r+2=-x(8-p)$

Next, divide both sides by (8 - p): $\frac{r+2}{8-p}=-x$

Lastly, multiply both sides by -1 and <u>your answer will be $-\frac{r+2}{8-p}=x$ </u>

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3 years ago

If G^-1(x) is the inverse of G(x), what is the value of G^-1(G(x))?

Ber [7]

Answer:

$G^{-1}(G(x))=x$

Step-by-step explanation:

Definition: Let f be one-to-one function with the domain A and the range B. Then the inverse function $f^{-1}$ has the domain B and the range A and is defined as

$f^{-1}(y)=x\ \Leftrightarrow \ f(x)=y$

Facts:

1) For every $x\in A:$

$f^{-1}(f(x))=x$

2) For every $y\in B:$

$f(f^{-1}(y))=y$

So, $G^{-1}(G(x))=x$

5 0

4 years ago

Describe the transformation: f(x)= -x+5; g(x) = 2f(x)

Angelina_Jolie [31]

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Parent Function:
f
(
x
)
=
x
2
f
(
x
)
=
x
2
Horizontal Shift: Right
5
5
Units
Vertical Shift: Up
2
2
Units
Reflection about the x-axis: None
Reflection about the y-axis: None
Vertical Compression or Stretch: None

7 0

3 years ago

HURRY I NEED HELP!!!!!!

Margaret [11]

Answer: a. the slope is -2/5 and the y-intercept is -1/3

Step-by-step explanation:

Find the slope by finding the difference in x-values divided by the difference in y-values

(1/4 ,-13/30) and (-3/4, -1/30) are useful values

-13/30 --1/30 = -12/30 = -2/5 is the rise

-1/4 - -3/4 = 1 is the run (-2/5)/1 Division by 1 leaves the original numerator)

the slope is -2/5

To find the y intrcept, substitute the y and x values from any given coordinate into the slope intercept form and solve for b

y= mx + b

-3/5 = (-2/5)(2/3) + b

-9/15 + 4/15 = b

-5/15 = b

-1/3 = b This is the y-intercept

Screenshot below of graph illustrates this solution

3 0

3 years ago