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Roman55 [17]
3 years ago
6

If a sphere’s radius is quadrupled, what is the corresponding change in the volume?

Mathematics
1 answer:
vovangra [49]3 years ago
6 0
The volume is proportional to the cube of the radius:
4^3=64
The volume will be 64 times the original value!




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Describe the graph that would be used to solve the equation-x^2 + 4 = x+2
Rzqust [24]

Answer:

The values of x are x = -2 and x= 1.

Step-by-step explanation:

The given equation -x²+4 = x+2 can be written in the form of two functions as

y = -x²+4 which is a function representing parabola and

y = x+2 which is a straight line.

Now we will solve the given equation to find their points of intersection on graph. Their points of intersections will be the answer.

-x²+4 = x+2

-x²+4-x = x+2-x

-x²-x+4 = 2

-x²-x+4-2 = 2-2

-x²-x+2 = 0

Or x²+x-2=0

Now we will factorize the equation.

x²+2x-x-2=0

x(x+2)-1(x+2) = 0

(x+2)(x-1) = 0

x+2 = 0 ⇒x = -2

x-1 = 0 ⇒x = 1

For x = 1, y will be 3

and for x = -2, y will be 0

Now we can see the graph for the given coordinates (-2,0) and (1,3).



5 0
3 years ago
Which expression is equivalent to 5y+2y+6x+2y-x
____ [38]
♡Okie Dokie let's simplify Step-By-Step!<span>♡</span>
♡<span>Here is the question you asked us:
</span><span><span><span><span>5y</span>+<span>2y</span></span>+<span>6x</span></span>+<span>2y</span></span>−<span>x
</span><span><span><span><span><span><span>5y</span>+<span>2y</span></span>+<span>6x</span></span>+<span>2y</span></span>+</span>−<span>x

</span></span>♡<span>Combine Like Terms:
</span><span><span><span>5y+2y</span>+6x</span>+2y</span>+<span>−x
</span><span>(<span>6x+−x</span>)</span>+<span>(<span><span>5y+2y</span>+2y</span><span>)
</span></span>
♡Your final answer is:
<span>5x</span>+<span>9y</span>

♡I hope this helps!♡
4 0
3 years ago
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What is <br> 2n - 3 = 9 ( solve the equation)
BartSMP [9]

2n - 3 = 9 \\ 2n = 12 \\ n = 6
5 0
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How do you factor 6x+15
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Answer:x=15/6

Step-by-step explanation:

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2/10blue, 3/10 green, 5/10 yellow
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