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3 years ago

What would be the expression after distributing, 4(x+7)?

Mathematics

2 answers:

umka2103 [35]3 years ago

3 0

Answer:

4x+28

Step-by-step explanation:

evablogger [386]3 years ago

3 0

Answer:

4x + 28

Step-by-step explanation:

First you would multiply 4 and x to get 4x, next 4 x 7 to get 28. Since they are not like terms you are left with 4x + 28

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Read 2 more answers

What is the solution of this equation? -1/2n2+18=0

SashulF [63]

Answer:

$n=-6\text{ or } n=6$

Step-by-step explanation:

So we have the equation:

$-\frac{1}{2}n^2+18=0$

Subtract 18 from both sides. The left cancels:

$-\frac{1}{2}n^2=-18$

Multiply both sides by -2. The left cancels again:

$n^2=36$

Take the square root of both sides:

$n=\pm\sqrt{36}$

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3 years ago

The radius of a sphere is increasing at a rate of 3 mm/s. How fast is the volume increasing when the diameter is 60 mm

mina [271]

Answer:

The volume is increasing at a rate of 33929.3 cubic millimeters per second.

Step-by-step explanation:

Volume of a sphere:

The volume of a sphere of radius r is given by:

$V = \frac{4\pi r^3}{3}$

In this question:

We have to derivate V and r implicitly in function of time, so:

$\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}$

The radius of a sphere is increasing at a rate of 3 mm/s.

This means that $\frac{dr}{dt} = 3$

How fast is the volume increasing when the diameter is 60 mm?

Radius is half the diameter, so $r = 30$ . We have to find $\frac{dV}{dt}$ . So

$\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}$

$\frac{dV}{dt} = 4\pi (30)^2(3) = 33929.3$

The volume is increasing at a rate of 33929.3 cubic millimeters per second.

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anyanavicka [17]

Check the attached file for the answer.

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