3 years ago

What is the volume of a sphere with a radius of 18 units?

1 answer:

7 0

The volume of a sphere is equal to (4/3)pi*r^3

The volume of your sphere is then (4/3)*pi*r^3 = (4/3)*3.14159265*18^3 = 24429.024 cubic units. That is not one of the answer choices. The closest choice appears to be D.

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How many solutions exist for the given equation? StartFraction one-half left-parenthesis x plus 12 right-parenthesis equals 4 x

Firlakuza [10]

Answer:

One solution x = 2

Step-by-step explanation:

Given the equation:

$\dfrac{1}{2}(x+12)=4x-1$

Multiply this equation by 2:

$2\cdot \dfrac{1}{2}(x+12)=2\cdot (4x-1)\\ \\x+12=2(4x-1)$

Use distributive property:

$x+12=8x-2$

Combine the like terms:

$x+12=8x-2\\ \\x+12-12=8x-2-12\\ \\x=8x-14\\ \\x-8x=8x-14-8x\\ \\-7x=-14\\ \\7x=14\\ \\x=2$

Thus, this equation has one solution x = 2

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3 years ago

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kherson [118]

Answer:

9 miles

Step-by-step explanation:

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3 years ago

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What is the surface area of the triangular prism?

Elanso [62]

Answer:

135 square feet

Step-by-step explanation:

area of base and top=2(1/2×6×2.5)=15 square feet.

area of three faces=(2.5+6+6.5)×8=15×8=120 ft

total surface area=15+120=135 square feet.

4 0

2 years ago

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*need this answered ASAP please. Write the solution to the given inequality in interval notation.

belka [17]

Step-by-step explanation:

this is the right answer..hope it helped you .

5 0

3 years ago

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Given the function: g(x) = 2x3 – 4x2 – 30x

MariettaO [177]

Answer:

2x(x2-2x-15)

2x(x-5).(x+3)=0

x=0

x=5

x=-3

Step-by-step explanation:

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3 years ago