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2 years ago

What is the diameter of a sphere that has a volume of 2304π in3?

1 answer:

8 0

We have the formula: V = (4πR^3)/3;
Then, 2304π = (4πR^3)/3;
Finally, R^3 = 1728;
R = 12 in;
The diameter of the sphere has 2 x 12 = 24 in;
The correct answer is c.

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What is the simplified form of 12x/900x²y4z6?

zalisa [80]

Answer:

$360xy^2|xz^3|$

Step-by-step explanation:

Given expression:

$12x \sqrt{900x^2y^4z^6}$

$\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:$

$\implies 12x \sqrt{900}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}$

Replace 900 with 30² :

$\implies 12x \sqrt{30^2}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}$

$\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:$

$\implies 12x \cdot 30|x|\sqrt{y^4}\sqrt{z^6}$

$\implies 360x|x|\sqrt{y^4}\sqrt{z^6}$

(We need to use the absolute value of √x² since the x term was originally to the power of 2, which means the value of x² is always positive since the exponent is even).

$\textsf{Apply exponent rule} \quad \sqrt{a^m}=a^{\frac{m}{2}}:$

$\implies 360x|x|\cdot y^{\frac{4}{2}}\cdot z^{\frac{6}{2}}$

Simplify:

$\implies 360xy^2|xz^3|$

(We need to use the absolute value of z³ since the z term was original to the power of 6, which means the value of z⁶ is always positive since the exponent is even).

7 0

1 year ago

Four trucks were used to make deliveries. The drivers recorded the number of miles driven and the amount of gasoline used. Truck

deff fn [24]

Answer: Truck C

Step-by-step explanation: 14:1

8 0

3 years ago

Read 2 more answers

G(x)=2x-2 <br> f(x)=x^2+3x <br> find (g of f)(2+x)

Bumek [7]

Answer:

Step-by-step explanation:

G(f(2+x))=g(2+x)^2+3(2+x)=2(2+x)^2+3(2+x)-2=2(4+4x+x^2)+6+3x=8+8x+2x^2+6+3x=2x^2+11x+14

6 0

3 years ago

Simplify 1/8 - 1/9 x+3/4-2/3x

Afina-wow [57]

Answer:

7/8 - 7x/9

Step-by-step explanation:

;)

8 0

2 years ago

I need some help on this, algebra, need some answers asap, please! Brainliest and 10 pts to the most helpful answer :)

tigry1 [53]

12 = r - (34 - 2)
subtract he 2 from 34

12 = r - (32)
add 32 to each side

r = 44

Check:
12 = 44 - (34 - 2)
12 = 44 - 32
12 = 12 :)

5 0

3 years ago