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Alona [7]
2 years ago
12

Find the radius of the sphere with the given volume. Show all work

Mathematics
1 answer:
yaroslaw [1]2 years ago
7 0

Answer:

r = 15

Step-by-step explanation:

Volume of a sphere is given by

V = 4/3 pi r^3

4500 pi = 4/3 pi r^3

Divide each side by pi

4500 = 4/3  r^3

Multiply each side by 3/4

3/4 *4500  = 3/4 *4/3  r^3

3375 = r^3

Take the cube root of each side

(3375)^(1/3) = (r^3)^(1/3)

15 = r

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PLZZZZZ HELLLLPPPP I NEEEEDDDDDD AAASSSSAAAPPPP<br> reward if u an help me ;)
Igoryamba

Answer:

1. x= -56.25

Expand

19.5-6.5x+36=201-4.5x-33

Simplify

-6.5x+55.5=201-4.5x-33

Simplify again

6.5x+55.5=-4.5x+168

Add 6.5 to both sides

55.5=-4.5x+168+6.5x

Simplify

55.5=2x+168

Subtract

55.5-168=2x

Simplify

112.5=2x

Divide both sides by 2

−112.5÷2 = x

Simplfy

x = -56.25

2. x > -7 ÷ 4

Or

Decimal Form: -1.75

Remove parentheses

12x>4x+5−19

Simplify

12x>4x-14

Subtract

12x-4x>-14

Simplify

8x>-14

Divide both sides by 8

x > -14 ÷ 8

Simplify

x > -7 ÷ 4

Or

Decimal Form: -1.75

3. Answer: Step 2 has an error

Step-by-step explanation:

Given equation,

2(10 - 13x) = -34x + 60

By distributive property,

20 - 26x = -34x + 60

Now, we need to isolate x on the left side of the equation,

For this we need to eliminate constant term from the left side,

20 will be eliminated by subtracting 20 from both sides ( subtraction property of equality )

I.e. Step 2 has an error,

We need to use subtraction property of equality instead of using addition property of Equality,

Note : The correct steps would be,

Step 2 : 20 - 26x = -34x + 60 ( Subtraction property of equality )

Step 3 : 8x = 40  ( addition property of Equality )

Step 4 :  x = 5  (  Division Property of Equality )

Hope this helps!!! Good luck!!! ;)

8 0
3 years ago
Solve for x in the equation 3x2-18+5=47
Airida [17]
3x^2-18+5=47
3x^2 = 60
x^2 = 20
x = 4.472 , x = - 4.472
7 0
3 years ago
4.5(8-x) + 36=102-2.5(3x+24)<br> what’s x?
maxonik [38]
Let's solve your equation step-by-step.<span><span><span>4.5<span>(8−x)</span></span>+36</span>=<span>102−<span>2.5<span>(<span>3x+24</span>)</span></span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>4.5<span>(8−x)</span></span>+36</span>=<span>102−<span>2.5<span>(<span>3x+24</span>)</span></span></span></span>Simplify: (Show steps)<span><span><span>−4.5x</span>+72</span>=<span><span>−7.5x</span>+42</span></span>Step 2: Add 7.5x to both sides.<span><span><span><span>−4.5x</span>+72</span>+7.5x</span>=<span><span><span>−7.5x</span>+42</span>+7.5x</span></span><span><span>3x+72</span>=42</span>Step 3: Subtract 72 from both sides.<span><span><span>3x+72</span>−72</span>=42−72</span><span>3x=−30</span>Step 4: Divide both sides by 3.<span><span>3x3</span>=<span>−303</span></span><span>x=<span>−<span>10</span></span></span>
3 0
3 years ago
Read 2 more answers
PLEASE HELP MEEEE I WANT TO CRY BECAUSE IM SO CONFUSED :( ILL GIVE YOU A BRAINLIEST ANSWER!
IgorC [24]

Answer:

f(x)=x^2

Step-by-step explanation:

Because it is a quadratic function this is the quadratic parent function.

7 0
3 years ago
Read 2 more answers
I will mark either the best or the first answer brainliest.
posledela

Answer:

11.x=16 12.x=37

Step-by-step explanation:

11.

20^2-12^2=x^2

256=x^2

x=√256

x=16

12.

13^2-5^2=y^2

144=y^2

y=12

/

y^2+35^2=x^2

12^2+35^2=x^2

1369=x^2

x=37

5 0
3 years ago
Read 2 more answers
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