The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?

A) 32/3π cm^3

B) 8π cm^3

C) 64/3π cm^3

D) 16π cm^3

Answers

Answer 1

Answer:

32[tex]\pi[/tex]/3 cm³

Step-by-step explanation:

If the diameter is 4 cm, then the radius is 2 cm.

Use the sphere volume formula:

V = 4/3[tex]\pi[/tex]r³

Plug in the radius and solve:

V = 4/3[tex]\pi[/tex](2)³

V = 4/3[tex]\pi[/tex](8)

V = 32[tex]\pi[/tex]/3

So, the volume of the sphere is 32[tex]\pi[/tex]/3 cm³


Related Questions

The price of a certain item is P dollars. The sales tax on the item is 7%. Which expressions represent the total cost of the item, in dollars, after the tax has been applied? Select EACH correct anwser

0.07P 1.07P P+0.07P 1+0.07P (1+0.07)P

Answers

Step-by-step explanation:

P = $ Dollars

Item = 7%

Answer

item 7/100 = 0.07/1 item

(1+0.07) P

if ABCD is a parallelogram,find m>D and angle C=(9×-1) and angle A=(13×-25)

Answers

9514 1404 393

Answer:

  ∠C = ∠A = 53°

  ∠D = 127°

Step-by-step explanation:

Opposite angles of a parallelogram are congruent, so ...

  ∠A = ∠C

  13x -25 = 9x -1

  4x = 24

  x = 6

  ∠C = ∠A = 9(6) -1

  ∠C = ∠A = 53°

Adjacent angles of a parallelogram are supplementary.

  ∠D = 180 -∠C

  ∠D = 180 -(9(6) -1) = 180 -53

  ∠D = 127°

solve please 14a⁹b-8a³d÷ 2a³​

Answers

Answer:

7a^6b-4d

Step-by-step explanation:

[tex]\frac{14a^9b - 8a^3d}{2a^3} \\\frac{2a^3(7a^6b - 4d)}{2a^3} \\\\7a^6b-4d[/tex]

Find the measure for rus

Answers

Answer:

90

Step-by-step explanation:

39+23+28=90

180-90=90

There are two 5s in the number 855,309. Rico
says that the 5 in the ten-thousinds place is 1000
times greater than the 5 to its right. Is she correct?
Explain how
you know

Answers

Answer:

no it is 10 times greater because we use the base 10 system where each number to the left is 10 times greater

Step-by-step explanation:

A psychology professor assigns letter grades on a test according to the following scheme. A: Top 14% of scores B: Scores below the top 14% and above the bottom 65% C: Scores below the top 35% and above the bottom 16% D: Scores below the top 84% and above the bottom 9% F: Bottom 9% of scores Scores on the test are normally distributed with a mean of 68.4 and a standard deviation of 9.7. Find the numerical limits for a B grade. Round your answers to the nearest whole number, if necessary.

Answers

Answer:

The numerical limits for a B grade are 72 and 79, that is, a score between 72 and 79 results in a B grade.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Scores on the test are normally distributed with a mean of 68.4 and a standard deviation of 9.7.

This means that [tex]\mu = 68.4, \sigma = 9.7[/tex]

Find the numerical limits for a B grade.

Below the 100 - 14 = 86th percentile and above the 65th percentile.

65th percentile:

X when Z has a p-value of 0.65, so X when Z = 0.385.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.385 = \frac{X - 68.4}{9.7}[/tex]

[tex]X - 68.4 = 0.385*9.7[/tex]

[tex]X = 72[/tex]

86th percentile:

X when Z has a p-value of 0.86, so X when Z = 1.08.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.08 = \frac{X - 68.4}{9.7}[/tex]

[tex]X - 68.4 = 1.08*9.7[/tex]

[tex]X = 79[/tex]

The numerical limits for a B grade are 72 and 79, that is, a score between 72 and 79 results in a B grade.

Initial amount problem help

Answers

Answer:

3000

growth

2.2%

Step-by-step explanation:

If you have time plz help me

Answers

Answer:

option 2 4x²- 8x -4 ghhhhhhhhhhj8

The temperature increased 3 degrees per hour for 10 hours. How many degrees did it
rise after 10 hours?

Answers

Answer:

Unless there is more information to this question, 3 degrees per hour, for 10 hours, after the 10th hour it will have risen 3*10 degrees, so 30 degrees

Answer:

30

Step-by-step explanation:

You can do 3×10 directly, or you can solve it like this to avoid error

Hour Degree

1 +3

2 +6

3 +9

4 +12

5 +15

6 +18

7 +21

8 +24

9 +27

10 +30

Brainliest please

what is the percent decrease on a Tv that has been marked down from $550 to $420? round to the nearest tenth​

Answers

24% decrease

550 - 420 = 130

130/550 = 24%

The percent decrease on a TV after the markdown to the nearest tenth​ is 23.6%.

What is the percent decrease on the TV after the markdown?

The percent decrease formula can be expressed as:

Percent decrease = [( original value - new value ) / original value ] × 100%

Given the data in the question:

The original value of the TV = $550

New value after markdown  = $420

Percent decrease =?

Plug the given values into the above formula and solve for the percent decrease.

Percent decrease = [( original value - new value ) / original value ] × 100%

Percent decrease = [( 550 - 420 ) / 550 ] × 100%

Percent decrease = [ 130 / 550 ] × 100%

Percent decrease = 0.2363 × 100%

Percent decrease = 23.6%

Therefore, the percent decrease is 23.6%.

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I need help i don't get it !!!!!

Answers

Answer:

4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 30 = x/8

8 sin 30 =x

8 (1/2) = x

4

Answer:

The answet is A. 4

Step-by-step explanation:

Find the value of x rounded to the nearest tenth.

Answers

I cannot see whole picture .. although I would say 2.8

Evaluate each expression.

Answers

#1 is 3
#2 is 0
#3 is -2
#4 is 7

17. What is the solution to -7s=-35? (1 point)
Os=-6
Os=-5
Os = 5
Os=6

Answers

Answer:

(+5)=S , be the correct answer

Answer: s = +5

Step-by-step explanation: Since s is being multiplied by -7, to get s by itself, we need to divide by -7 on both sides of the equation.

So we get s = +5 which is the solution to our equation.

helppp .....................

Answers

What do you Need help with?

Answer:

D represents a proportional relationship

Step-by-step explanation:

Proportional graphs always intersect with zero

he following chart reports the number of cell phones sold at a big-box retail store for the last 26 days. a. What are the maximum and the minimum numbers of cell phones sold in a day? b. Using the median, what is the typical number of cell phones sold?

Answers

Answer:

Maximum = 19

Minimum = 4

Median = 12

Step-by-step explanation:

The maximum number of phone sold per day is the value to the right of the horizontal axis as the values are arranged in ascending order ; Hence, the maximum number of phones sold per day is 19

Also, the minimum number of phones sold per day is the value to the left of the plot, Hence, minimum number of phones sold per day is 14.

The Median value : 4, 9, 14, 19

The median = 1/2(n+1)th term

1/2(5)th term = 2.5 th term

Median (9 + 14) /2 = 13 /2 = 11.5 = 12 phones

Betty received $ 500,000 from a life insurance policy to be distributed to her as an annuity certain in 10 equal annual installments with the first payment made immediately. On the day she receives her third payment, she is offered a monthly perpetuity of X in lieu of the future annual payments. The first payment will be made in exactly one month. The effective annual rate of interest is 8 %. Determine the value of X.​

Answers

9514 1404 393

Answer:

annual payment: $68,995.13monthly payment in perpetuity: X = $2394.76

Step-by-step explanation:

a) For payments made at the beginning of the period, the annuity is called an "annuity due." The formula in the first attachment tells how to compute the payment for a given present value ($500,000), number of periods (N=10), and interest rate (i=0.08).

  pmt = $500,000/(1 +(1 -(1 +i)^(-N+1))/i) = $500,000/(1 +(1 -(1.08^-9))/.08)

  pmt ≈ $68,995.13 . . . . annual payment

__

b) After the first payment, the account balance is ...

  $500,000 -68,995.13 = $431,004.87

After subsequent payments, the account balance will be ...

  $431,004.87×1.08 -68,995.13 = $396,490.13 . . . after 2nd payment

  $396,490.13×1.08 -68,995.13 = $359,214.21 . . . after 3rd payment

The payment amount that can be made in perpetuity is the amount of the monthly interest on this balance:

  X = $359,214.21 × (0.08/12) = $2394.76

Complete the table for the function y = x−−√3 + 7.

Answers

Answer:

option D (5 6 8 9) is the answer

Answer:

X [tex]\Longrightarrow -8\Longrightarrow -1\Longrightarrow 1\Longrightarrow 8[/tex]

Y[tex]\Longrightarrow 5\Longrightarrow 6\Longrightarrow 8\Longrightarrow 9[/tex]

[tex]Answer\hookrightarrow D)[/tex]

-------------------------

Hope it helps...

Have a great day!!

can you help me with these high rated questions
I wish you will help me with his highlighted questions​

Answers

Answer:

52 is (a)

55 is.( d)

56. is (d)


According to the scale drawing, how wide will the actual patio be?
m
Garden
Patio
7 cm
Scale 1 cm: 2 m

Answers

The width of the actual garden patio according to the scale drawing is 14 meters.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Given the scale of 1 cm : 2 m

For a patio of 7 cm, then:

Actual patio = 7 cm / (1 cm/ 2m) = 14 m

The width of the actual garden patio according to the scale drawing is 14 meters.

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Abraham is writing a recursive function for the geometric sequence:
24, 12, 6, 3,

Khan Academy Problem PLEASE HELP

Answers

Answer:

a1 = 24

an = an-1 × 1/2, n >1

Step-by-step explanation:

a geometric sequence is a sequence where we multiply every previous term by a certain factor to create the next term.

so, we multiply 24 by something to get 12.

and then 12 by the same something to get 6.

and then 6 by the and something to get 3.

do you see the pattern ? hmmm ?

right, we always divide by 2 (or multiply by 1/2).

the starting value a1 = 24

so,

an = an-1 × 1/2, n>1

or

[tex]an = a1 \times {(1 \div 2)}^{n - 1} [/tex]

n>1


[tex] {4}^{m} = \frac{1}{16} \\ find \: m[/tex]

Answers

Answer:

[tex] {4}^{m} = \frac{1}{16} [/tex]

[tex] {4}^{m} = {4}^{ - 2} [/tex]

[tex]same \: base \: so[/tex]

[tex]m = - 2[/tex]

[tex]hope \: this \: help \: u[/tex]

Answer:

Answer:

{4}^{m} = \frac{1}{16}4

m

=

16

1

{4}^{m} = {4}^{ - 2}4

m

=4

−2

same \: base \: sosamebaseso

m = - 2m=−2

hope \: this \: help \: uhopethishelpu

Find the probability of a couple having at least 1 girl among 4 children. Assume that boys and girls are
equally likely and that the gender of a child is independent of the gender of any brothers or sisters.

Answers

Answer:

15/16 (93.75%)

Step-by-step explanation:

List of Possible Combinations:

BBBB, BBBG, BBGB, BBGG, BGBB, BGBG, BGGB, BGGG, GBBB, GBBG, GBGB, GBGG, GGBB, GGBG, GGGB, GGGG

As you can see, only 1 out of 16 of the possible combinations is all boys. This means that the chance of at least 1 girl among the 4 children is 15 out of 16 (15/16) or 93.75%

The Tres Difficult race helps raise money for charity. According to the website, of the proceeds from ticket sales go directly to charity.
2/5
Last year they made $8000 from ticket sales. How much was given to charity?

Answers

Answer:

3200

Step-by-step explanation:

We need to find 2/5 of the tickets sales

2/5 * 8000

3200

Answer:

3200

Step-by-step explanation:

you need to find what 2/5 is and the you take that away from 8000 and then you have your answer of 3200

A triangular spatula has side lengths of 6 inches, 6 inches, and 4 inches. Is this spatula acute, obtuse, or right? Explain how you know the answer.

Answers

It is an acute triangle because all the angles are less than 90 degrees because 2 of the sides are equal two of the angles have to be less than 90 degrees. Otherwise, it wouldn’t be a triangle since the sum of all the angles have to add up to 180 degrees

y – 1 = 2(x – 2), solve for y

Answers

Answer:

y = 2x-3

Step-by-step explanation:

y – 1 = 2(x – 2)

Distribute

y-1 =2x-4

Add 1 to each side

y-1+1 = 2x-4+1

y = 2x-3

Simplify. (x+y)/(x^2y)-(x-2y)/(xy^2)

Answers

Math Topic : Algebraic Simplification

Answer:

[tex]{ \tt{ = \frac{(x + y)}{ {x}^{2}y } - \frac{(x - 2y)}{ {xy}^{2} } }} [/tex]

Find the LCM of denominators: x²y²

[tex]{ \tt{ = \frac{y(x + y) - x(x - 2y)}{ {x}^{2} {y}^{2} } }} \\ \\ = { \tt{ \frac{xy + {y}^{2} - {x}^{2} +2xy }{ {x}^{2} {y}^{2} } }}[/tex]

Simplify further:

[tex] = { \tt{ \frac{(y - x)(y + x) +3xy}{ {(xy)}^{2} } }} \\ \\ = { \tt{ \frac{(y - x)(y + x)}{ {(xy)}^{2} } - \frac{3}{xy} }}[/tex]

Y=2(x-2)^2+7[tex]y=2(x-2)^2+7[/tex]

Answers

if you’re find the y-intercept the answer is: y=15

A researcher conducts a hypothesis test and concludes that his hypothesis is correct. Explain why this conclusion is never an appropriate decision in hypothesis testing.

Answers

Answer:

we use the terms, the hypothesis is incorrect or we lack sufficient evidence to declare the hypothesis incorrect. in hypothesis testing

Step-by-step explanation:

The conclusion made by the researcher after conducting a hypothesis test ( i.e. hypothesis is correct ) is not the right decision because in hypothesis testing we either reject the Null hypothesis or we fail to reject the Null hypothesis.  

These conclusions can be made when;

P-value < ∝  ( reject null hypothesis ) and P-value > ∝ ( fail to reject null hypothesis )

and We do not use the term  the hypothesis is correct But we use these terms, the hypothesis is incorrect or we lack sufficient evidence to declare the hypothesis incorrect.

10 ft wide by 14 ft long. if the ceiling is 8 ft high. what is the area of the four walls?

Answers

Answer: 80

Step-by-step explanation:

Other Questions
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