Make r the subject of the formula: V=πr²h

Answers

Answer 1

Answer: This is called a literal equation, or an equation with multiple variables. You solve it the same as you solve any other equation, but the variables stay there the whole time.

If they want "r" to be the subject, then they want you to solve for r. This means that you need to get the variable r by itself on one side of the equation, but still have the equation be equivalent to it original form.

I'm going to show you, in steps, how to solve this problem:

V=πr²h

Divide both sides by "π²h"
V/π²h=(πr²h)/π²h

V/(π²h)=r

Your answer is r=V/π²h

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Simplify each expression by combining like terms.

Answers

Answer:

9. 2a+5 ; 11. 2x+11y+4 ; 13. -a+3b-1 ; 15. (10c^2)-2c+5 ; 17. (5(a^2)(b^2))-(a(b^2))

Step-by-step explanation:

You should group each term with the same variables and then simplify

9. 9a + 8 - 2a - 3 - 5a

=(9a-2a-5a)+(8-3)

= 2a + 5

11. 7x + 2y + 5 - 5x + 9y - 1

= (7x-5x)+(2y+9y)+(5-1)

=2x+11y+4

13. -6+3a-b-4a+4b+5

=(3a-4a)+(-b+4b)+(-6+5)

=-a+3b-1

15. 8c^2 -c+3+2c^2 -c +2

=(8c^2 + 2c^2)+(-c-c)+(3+2)

=(10c^2)-2c+5

17. 6a^2b^2 + 3ab^2 -a^2b^2 -4ab^2

=(6a^2b^2 -a^2b^2)+(3ab^2 -4ab^2)

=(5(a^2)(b^2))-(a(b^2))

Kevin made a rectangular prism with 8 cubes in each layer. The prism had 4 layers. What is the volume of the rectangular prism?

Answers

256 units³ is the volume, since the length is 8 and the height is 4, you use the formula V=Bh and B is 64, so you simply multiply it by 4, the height

The table shows the percent of Earth's atmosphere that is each element. A. Bar diagram Model 21% using a bar diagram. 0% to 100% B.Write the percent of Earth's atmosphere that is nitrogen as a fraction in simplest form.

Answers

A). On a bar diagram where the bottom of the diagram is zero
   and the top of the diagram is 100%, a bar showing 21%
   must be 0.21 of the height from the base to the top.

B). I don't know anything about the nitrogen in the Earth's
   atmosphere, because you won't let me see the table.

" 7. Mr Gerry’s class has 19 students Ms Vernon’s class has 21 students and Mr Singh’s class has 23 students Whose class has a composite number of students

Answers

Mr. Vernon's class (21 is divisible by 7 and three and thus is composite).

What is the equation, in slope-intercept form, of the line that passes through (0,6) and has a slope of 4?A.y=4x-6
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C.y=6x-4
D.y=6x+4

Answers

C. Y=6x-4 would be the answer

You can also check it

$\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{6})~\hspace{10em} slope = m\implies 4 \n\n\n \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\n \cline{1-1} \n y-y_1=m(x-x_1) \n\n \cline{1-1} \end{array}\implies y-6=4(x-0) \n\n\n y-6=4x\implies y=4x+6$

What plus 1/3 equals a whole

Answers

2/3 thtas the number you are looking for

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