1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
erastova [34]
3 years ago
7

Marta is solving the equation S = 2πrh + 2πr^2 for h. Which should be the result?

Mathematics
2 answers:
stiks02 [169]3 years ago
8 0

Answer:

Lette answer is A

Step-by-step explanation:

olga_2 [115]3 years ago
7 0

Answer:

h = \frac{S}{2πr} - r


Step-by-step explanation:

The question requires you to make h the subject of the formula.

S = 2πrh + 2πr²

subtract 2πr² on both sides.

S - 2πr² = 2πrh - 2πr² -  2πr²

S - 2πr² = 2πrh

Dividing both sides by  2πr

(S -  2πr²)/2πr =  2πrh/ 2πr

h = \frac{S}{2πr} - r


You might be interested in
A laptop producing company also produces laptop batteries, and claims that the batteries
gregori [183]

Answer:

There is enough evidence to support the claim that the batteries power the laptops for significantly less than 4 hours. (P-value = 0).

The null and alternative hypothesis are:

H_0: \mu=4\\\\H_a:\mu< 4

Step-by-step explanation:

<em>The question is incomplete: To test this claim a sample or population standard deviation is needed.</em>

<em>We will estimate that the sample standard deviation is 2 hours, and use a t-test to test that claim.</em>

<em> NOTE (after solving): The difference between the sample mean and the mean of the null hypothesis is big enough to reject the null hypothesis, even when we have a sample standard deviation of 3.5 hours, which can be considered bigger than the maximum standard deviation for the sample.</em>

This is a hypothesis test for the population mean.

The claim is that the batteries power the laptops for significantly less than 4 hours.

Then, the null and alternative hypothesis are:

H_0: \mu=4\\\\H_a:\mu< 4

The significance level is 0.05.

The sample has a size n=500.

The sample mean is M=3.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=2.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{2}{\sqrt{500}}=0.0894

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{3.5-4}{0.0894}=\dfrac{-0.5}{0.0894}=-5.5902

The degrees of freedom for this sample size are:

df=n-1=500-1=499

This test is a left-tailed test, with 499 degrees of freedom and t=-5.5902, so the P-value for this test is calculated as (using a t-table):

P-value=P(t

As the P-value (0) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the batteries power the laptops for significantly less than 4 hours.

5 0
3 years ago
Find the product <br> -1/2y(2y^3-8)
blondinia [14]

Answer:

-y^4+4y

Step-by-step explanation:

3 0
2 years ago
A 14-foot ladder is leaning against a building as shown. It touches a point 11 feet up on a building. How far away from the base
Luden [163]
We can assume that the point the ladder creates with the ground and building is a triangle. You can use the Pythagorean theorem to solve this.

A^2 + B^2 = C^2

The ladder is C, and the building can act as A or B, so for the purpose of this explanation, I’ll make it A.

11^2 + B^2 = 14^2
Figure out the squares

121 + B^2 = 196
Subtract 121 from both sides

B^2 = 75
Square root B^2 and 75

B = 5 root3
6 0
2 years ago
Choose the slope-intercept form of y + 3 = 4(x - 5).
Scrat [10]

Answer: y=4x-23

Step-by-step explanation:

First multiply the 4 on the right side to make it y+3=4x-20. Then subtract 3 on both sides to get y=4x-23

5 0
3 years ago
Read 2 more answers
A multiple must be greater than or equal to the largest starting number. True or False
podryga [215]

I'll use multiples of 2 and 4 as an example:

Multiples of 2: 2, 4, 6, 8...

Multiples of 4: 4, 8, 12, 16...

The least common multiple in this case is 4. The LCM is always ≥ the largest starting number, which is 4 for this example. Therefore, the statement is true.

<em>Hope this helps! :)</em>

8 0
3 years ago
Other questions:
  • How manyseconds in a quarter day?
    10·1 answer
  • How does the area of triangle RST compare to the area of triangle LMN? The area of △RST is 2 square units less than the area of
    12·2 answers
  • A boutique sold $127.50 worth of purses. How many purses did they sell?
    5·2 answers
  • What are the integer solutions of the inequality |x| &lt; 3?
    12·1 answer
  • Val takes her four sons, Hal, Cal, Sal and Mal, to get their hair cut. It's crowded, so there's only time for two of them to get
    5·1 answer
  • Use the distributive property to rewrite the expression –2(6 – x) without parentheses.
    12·2 answers
  • What percent of 110 is 88
    11·2 answers
  • Is this correct so far
    15·2 answers
  • PLEASE NEED SOME HELP
    12·1 answer
  • A rectangle has perimeter 88cm and length 35cm. What is the width? ​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!