Make R the subject for this formula V = pi r squared h

Answers

Answer 1

Answer: $V= \pi r^2h\n\n \pi r^2h=V\n\nr^2= (V)/( \pi h)\n\n \boxed{r=\sqrt{(V)/( \pi h)}}$

Answer 2

Answer: Divide pie on both sides... then square root by h on both sides... so it's "h square root, v divided by pi, equals r.."

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I have $5$ different mathematics textbooks and $4$ different psychology textbooks. In how many ways can I place the $9$ textbooks on a bookshelf, in a row, if there must be a psychology textbook exactly in the middle, and there must be a mathematics textbook at each end?

Answers

Answer:

What

Step-by-step explanation:

You can’t have more than 2 combinations with £9

How does changing the function from f(x) = 2 sin 4x to g(x) = 2 sin 4x + 3 affect the range of the function? The function shifts up 3 units, so the range changes from −2 to 2 in f(x) to 1 to 5 in g(x). The function shifts up 3 units, so the range changes from −1 to 1 in f(x) to 2 to 4 in g(x). The function shifts up 4 units, so the range changes from −2 to 2 in f(x) to 2 to 6 in g(x). The function shifts up 4 units, so the range changes from −1 to 1 in f(x) to 3 to 5 in g(x).

Answers

Answer:

Step-by-step explanation:

Consider the parent function

f(x) = sin 4x has range as -1 to 1

When sin4x is multiplied by 2, we have range changes to -2 to 2

When the graph is shifted up by 3 units we get

range changes minimum from -2 to -2+3=1 and maximum as 2+3=5

So range is in the interval

[1,5]

Option

he function shifts up 3 units, so the range changes from −2 to 2 in f(x) to 1 to 5 in g(x)is right

The function shifts up 3 units, so the range changes from -2 to 2 in f(x) to 1 to 5 in g(x).

Write the equation in slope-intercept form. What are the slope and y-intercept? -11x + 9y = -12

Answers

-11x + 9y = -12
9y = -12 + 11x
y = -12/9 + 11/9x

y = (11/9)x - 4/3

Y-intercept is -4/3
Slope or m is 11/9

Given the function f(x) = x3 − 18x2 + 107x − 210, what are the y-intercept and x-intercepts? Show the work steps to find these intercepts

Answers

Answer:

The y-intercept of the function is -210 and the x-intercepts of the function are 5,6,7.

Step-by-step explanation:

The given function is

$f(x)=x^3-18x^2+107x-210$

To find y-intercept put x=0.

$f(x)=(0)^3-18(0)^2+107(0)-210$

$f(x)=-210$

The y-intercept of the function is -210.

To find the x intercepts put f(x)=0.

$x^3-18x^2+107x-210=0$

For x=5, the above equation is true, therefore (x-5) is factor of the equation.

Use synthetic method to find the factors.

$(x-5)(x^2-13x+42)=0$

$(x-5)(x^2-6x-7x+42)=0$

$(x-5)(x(x-6)-7(x-6))=0$

$(x-5)(x-6)(x-7)=0$

Use zero product property and equate each factor equal to zero.

$x=5,6,7$

Therefore the x-intercepts are 5, 6 and 7.

In a class, there are io boys and 15 girls. three students are selected at random. The probability that the selected students are 1 boy and 2 girls, is options: a. 25/36 b. 18/23 c. 21/46 d. 1/32

Answers

Answer:

Step-by-step explanation:

Correct option is C)

There are 15 boys and 10 girls in a class

We have to select 3 students such that there should be 1 girl and 2 boys

The number of ways we can select 3 students is

25C3=2300

The number of ways we can select 3 students such that there is 1 girl and 2 boys is 15×7×10=1050

The probability is 1050/2300 =21/46

Therefore the correct option is C

Final answer:

finding the number of combinations for the desired scenario and the total possible combinations, we find that the probability is 21/46.

Explanation:

In order to solve this problem, we need to apply the principles of combinatorics and probability. The total number of students in the class is 25 (10 boys and 15 girls). Firstly, let's calculate the combinations for the scenario of selecting 1 boy out of 10. This can be done by 10C1 resulting in 10 possibilities. Secondly, let's calculate the combinations of selecting 2 girls out of 15, which is 15C2 and gives us 105 possibilities.

Multiply those together to find the total scenario we're interested in, which is 1,050. The total possible combinations of selecting 3 students out of 25 irrelevant of gender would be 25C3, resulting in 2,300 possible combinations.

Therefore, the probability that the selected students are 1 boy and 2 girls is 1,050/2,300. Simplifying this fraction gives us 21/46.

Learn more about Combinatorics and Probability here:

brainly.com/question/34324838

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A student solved this problem and said the answer was 2 cups. Rhonda picked 6 cups of blackberries. Her sister picked 4 cups of blackberries. How many more cups of blackberries did Rhonda pick than her sister?
Is the student's answer reasonable?

A. Yes, the answer is reasonable.

B. No, the answer is not reasonable. It should be about cup.

C. No, the answer is not reasonable. It should be about 4 cups.

D. No, the answer is not reasonable. It should be about 10 cups.

Answers

A. The answer is reasonable

Answer:

I think it is A. because i am doing a quiz and got it right

Step-by-step explanation:

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