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Mathematics

1 answer:

Anarel [89]2 years ago

6 0

Answer:

48 ft cubed or 576 in cubed

Step-by-step explanation:

The volume of the water is 2304 in cubed. you multiply 12 in by 24 in by 8 in.

the rock makes the water go up 2 in. You then multiply 12 in by 24 in by 10 in. This will equal 2880 in cubed.

2880-2304=

576 in. cubed or 48 ft. cubed

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What is the cube root of 27a^12

tino4ka555 [31]

ANSWER

$3{a}^{4 }$

EXPLANATION

The cube root of

$27 {a}^{12}$

$\sqrt[3]{27 {a}^{12} }$

This is the same as:

$(27 {a}^{12} )^{ \frac{1}{3} }$

$( {3}^{3} ({a}^{4})^{3} )^{ \frac{1}{3} }$

$= (3{a}^{4} )^{3 \times \frac{1}{3} }$

$= 3{a}^{4 }$

6 0

3 years ago

To finance her community college education, Sarah takes out a loan for $3700. After a year Sarah decides to pay off the inter

iragen [17]

So, to solve this, we use this equation:
3700 + 0.05(3700)
But, if we want to make it shorter:
1.05(3700)
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8 0

3 years ago

Find the volume of the region bounded above by the paraboloid z equals 3 x squared plus y squared and below by the square R: min

RideAnS [48]

Answer:

V=5.333cubit unit

Step-by-step explanation:

this problem question, we are required to evaluate the volume of the region bounded by the paraboloid z = f(x, y) = 3x² + y² and the square r: -1≤ x ≤ 1, -1 ≤ y ≤ 1

The question can be interpreted as z = f(x, y) = 3x² + y² and the square r: -1≤ x ≤ 1, -1 ≤ y ≤ 1 and we are told to evaluate the volume of the region bounded by the given paraboloid z

The volume V of integral evaluated along the limits of x and y for the 2-D figure, can be evaluated using the expression below

V = ∫∫ f(x, y) dx dy then we can now substitute and integrate accordingly.

CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLATION: