So with this equation, since the volume of the cylinder is 96 pi, plug that into the V variable, and since the radius of one of the marbles is 3, plug that into the r variable. From here, we can solve for x: $96\pi =24\pi +x(\frac{4}{3}\pi*3^3)$

Firstly, solve the parentheses: $96\pi =24\pi +x(\frac{4}{3}\pi*27)\\ 96\pi =24\pi +x(36\pi)$

Next, multiply 36 pi and x: $96\pi = 24\pi +36\pi x$

Next, subtract 24 pi on both sides: $72\pi =36\pi x$

Lastly, divide both sides by 36 pi, and your answer will be $2=x$ , or B.

4 0

4 years ago

Subtract.<br>(4x^2 + 8x - 2) - (2x^2 - 4x + 3)<br>Enter your answer, in standard form.

vovikov84 [41]

Answer:

$\large\boxed{(4x^2 + 8x - 2) - (2x^2 - 4x + 3)=2x^2+12x-5}$

Step-by-step explanation:

$(4x^2 + 8x - 2) - (2x^2 - 4x + 3)\\\\=4x^2 + 8x - 2 -2x^2 -(- 4x)- 3\\\\=4x^2+8x-2-2x^2+4x-3\qquad\text{combine like terms}\\\\=(4x^2-2x^2)+(8x+4x)+(-2-3)\\\\=2x^2+12x-5$

5 0

3 years ago

What is the value of r, the part of the job that Marina can complete in 1 hour? 0.1 0.4 0.5 0.6

kvv77 [185]

So, Katherine can do 0.1 of the job per hour. (if she needs 10 hours for the job, each hour she can do the whole divided by the time, so 1/10, which is 0.1)

if in two hours she and Marina can be done, then Marina will do 1(the whole job)-2/10 (twice as much as she can do in an hour)=0.8 of the job. So if Marina does 0.8 of the job in two hours, each hour she will do half of it: 0.4 - and this is the correct answer

4 0

3 years ago

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