Find the volume (in terms of pi) of a sphere if it’s surface area is 100 pi ft2. PLEASE HELP ME

Find The Volume (in Terms Of Pi) Of A Sphere If Its Surface Area Is 100 Pi Ft2. PLEASE HELP ME

Answers

Answer 1

Hey there! I'm happy to help!

to find the volume of a sphere, you cube the radius, multiply it by 4/3, and then multiply it by π.

First, we have to find the radius. To find the surface area you square the radius and multiply it by 4 and then π.

Let's do that formula backwards on our surface area to find the radius.

We divide by π

100÷π=100

We divide by 4.

100÷4=25

We find the square root.

√25=5

Now, we use our radius in the volume formula.

5³=125

125×4/3=500/3

We multiply by π.

500/3π

Therefore, the volume of a sphere if its surface area is 100π ft² is 500/3π ft³.

Have a wonderful day! :D

Answer 2

Answer:

V=166.66[tex]\pi[/tex] ft³

Step-by-step explanation:

The surface area of a sphere is 4[tex]\pi[/tex]r²

100[tex]\pi[/tex]=4

100[tex]\pi[/tex]/4

25=r²

r=5

Now that we know the radius is 5, we can find the volume.

v=4/3[tex]\pi[/tex](5)³

v=(5*5*5*4)/3*[tex]\pi[/tex]

V=166.66[tex]\pi[/tex]


Related Questions

Simplify the following expression.

Answers

Answer:

3x+11y-3

Step-by-step explanation:

Hey! So here is what you do to solve the problem-

Combine like terms:

(x) 5x-2x=3x

(y) 3y+8y=11y

(#) 7-10 =-3

So....

3x+11y-3 is your answer!

Hope this helps!:)

What’s up guys, pls help 19b)
Thanks

Answers

Answer:

90°

Step-by-step explanation:

As given in the figure:

[tex]AC \perp CE\\

\therefore m\angle ACE = 90\degree \\ [/tex]

john always wears a shirt, pants, socks, and shoes. he owns 12 pairs of socks, 3 pairs of shoes, 5 pairs of pants, and 5 shirts. how many different outfits can john make? PLEASE ANSWER

Answers

Answer:

900 outfits

Step-by-step explanation:

You just have to multiply them all together :)

A group of friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves

Answers

Complete question:

A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves. Which equations and solutions describe the situation? Check all that apply. The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill. The equation 1/8 (x+16)=76 represents the situation, where x is the food bill. The solution x=60 represents the total food bill. The solution x=60 represents each friend’s share of the food bill and tip. The equation 8(x+16)=76 represents the situation, where x is the food bill.

Answer:

The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill

The solution x=60 represents the total food bill

Step-by-step explanation:

Given the following :

Total amount spent = $76

Amount paid as tip = $16

Number of friends = 8

Total Cost of lunch consists of:

Actual Cost of food + amount of tip

Let actual cost of food = x

Total cost of lunch is thus :

x + $16 = $76

If the friends are to each the bill equally:

Then:

Divide both sides by 8:

(1/8)* (x + 16) = 76/8

Therefore,

(x + 16) / 8 = 76/8

x + 16 = 76 / 8

(x + 16)/8 = 9.5

x + 16 = 9.5 * 8

x + 16 = 76

x = 76 - 16

x = 60

Answer:

A

and

C

Step-by-step explanation:

match each polynomial with its degree
degree 1
degree 2
degree 3
degree 4

a.8x^2+7+1/2x^3-3 (1/2 is a fraction)
b.3x^2-2x+4
c.(x^2)^2+(x+4)^2
d.5x+5

Answers

Answer:

d

b

a

c

Step-by-step explanation:

degree 1 -  5x+5  -  d.

degree 2-    3x^2-2x+4-  b.

degree  3 -  1/2x^3+8x^2-3-    a.

degree 4 -  x^4+(x+4)^2- c

plz help me. how many solutions

Answers

Answer:

no solutions

Step-by-step explanation:

2y = 4x+6

y = 2x+6

Divide the first equation by 2

y = 2x+3

These are parallel lines ( same slope) but different y intercepts

They will never intersect, so they have no solutions

Answer:

B   No solutions

Step-by-step explanation:

2y = 4x + 6       first equatión

 y  = 2x + 6       second equation

from the first equation

y = (4x+6)/2

y = 4x/2 + 6/2

y = 2x + 3       third equation

matching second equatión and third equation

2x + 6 = 2x + 3

2x - 2x = 3 - 6

0 ≠ -3

then:

Β  No solutions

Solve: 5x2 + 25x = 0

Answers

Answer:

x = -0.4

x = -(2/5)

Answer:

x = ± √5

Step-by-step explanation:

Please indicate exponentiation by using the symbol " ^ ":

5x^2 + 25x = 0

Divide all three terms by 5.  We get:

x^2 + 5 = 0, or x^2 = -5

Then x = ± √5

What is m Round the answer to the nearest whole number.
O 30°
O 35°
O 55°
O 60°

Answers

Answer:

30

Step-by-step explanation:

fufyfuf7fjcjcufuy7fufucyyxyvkbuvufudydy shut up

This rectangular wall is to be painted. Paint is sold in tins. How much does it cost to paint the wall?

Answers

Answer:

£23.96

Step-by-step explanation:

Area to be painted:

3.6 m * 8.3 m = 29.88 m^2

The area to be painted is 29.88 m^2.

A tin of paint covers 8 m^2. We divide to find the number of tins needed.

29.88/8 = 3.735

Since full tins must be bought, the smallest number of tins needed is 4.

Now we find the price of 4 tins. 1 tin costs £5.99, so 4 tins cost:

4 * £5.99 = £23.96

Jermiah answer 90% of the questions on his test correctly. There are 40 questions on the test

Answers

Answer:

36 answered correctly

Step-by-step explanation:

Hey there!

Well 90% of 40 is 36.

This is true because 90% as a fraction not simplified is 36/40 and when we do,

36 ÷ 40 we get .9.

And we move the decimal places 2 times to the right in .9 and we get 90%.

Hope this helps :)

Answer:

36

Step-by-step explanation:

While Mary Corens was a student at the University of Tennessee, she borrowed $14,000 in student loans at an annual interest rate of 7%. If Mary repays $1,800 per year, then how long (to the nearest year) will it take her to repay the loan? Do not round intermediate calculations. Round your answer to the nearest whole number.

Answers

Answer:

The number of years needed to repay the loan is 11.47 years or 11 years.

Step-by-step explanation:

The loan amount, Present value =  $14000

Annual repayment amount (annuity) = $1800

Interest rate = 7% per annum.

Now we have to find the number of years consumed to repay the loan amount. Below is the calculation.

Present value = (Annuity[1-(1+r)^-n] )/ r

14000 = (1800 × [1- (1+ 0.07 )^-n] )/ 0.07

14000 × 0.07 = 1800 × [1- (1+ 0.07 )^-n]

980 = 1800 × [1- (1+ 0.07 )^-n]

0.54 = [1- (1+ 0.07 )^-n]

n = 11.47  or 11  years.

he blood platelet counts of a group of women have a​ bell-shaped distribution with a mean of 247.3 and a standard deviation of 60.7. ​(All units are 1000 ​cells/μ​L.) Using the empirical​ rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 3 standard deviations of the​ mean, or between 65.2 and 429.4

Answers

Answer:

The approximate percentage of women with platelet counts within 3 standard deviations of the​ mean is 99.7%.

Step-by-step explanation:

We are given that the blood platelet counts of a group of women have a​ bell-shaped distribution with a mean of 247.3 and a standard deviation of 60.7.

Let X = the blood platelet counts of a group of women

The z-score probability distribution for the normal distribution is given by;

                                Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean = 247.3

           [tex]\sigma[/tex] = standard deviation = 60.7

Now, according to the empirical rule;

68% of the data values lie within one standard deviation of the mean.95% of the data values lie within two standard deviations of the mean.99.7% of the data values lie within three standard deviations of the mean.

Since it is stated that we have to calculate the approximate percentage of women with platelet counts within 3 standard deviations of the​ mean, or between 65.2 and 429.4, i.e;

         z-score for 65.2 =  [tex]\frac{X-\mu}{\sigma}[/tex]

                                     =  [tex]\frac{65.2-247.3}{60.7}[/tex]  = -3

         z-score for 429.4 =  [tex]\frac{X-\mu}{\sigma}[/tex]

                                       =  [tex]\frac{429.4-247.3}{60.7}[/tex]  = 3

So, it means that the approximate percentage of women with platelet counts within 3 standard deviations of the​ mean is 99.7%.

Write down inequalities,that are satisfied by these sets of integers between -10 and 10
1,2,3,4,5,6,7,8,9,10
-3,-4,-5,-6,-7,-8,-9,-10
9,10
-10

Answers

Answer:

Below

Step-by-step explanation:

Notice that x is between 10 and -10 but takes only the values that are integers.

The inequalities:

● we can write an inequality that includes all these values.

● -10 《 x 《 10

This is a possible inequality

Multiply both sides by 2 and you will get a new one:

● -20 《 2x 《 20

You can multiply it by any number to generate a new inequality.

Or you can add or substract any number.

what is (a x b) x c, if a = 11, b = 9, and c = 1?​ PLEASE HELP!!!

Answers

Answer:99

Step-by-step explanation:(11×9)×1=99

Answer:

The answer is 99

Step-by-step explanation:

(a x b) x c

a = 11, b = 9, and c = 1

In order to solve substitute the values of a , b and c into the above expression

That's

( 11 × 9) × 1

Solve the terms in the bracket first

99 × 1

We have the final answer as

99

Hope this helps you

What is the sum of the three solutions (find the values for x, y, and z, then add the answers)? 2x + 3y − z = 5 x − 3y + 2z = −6 3x + y − 4z = −8 Show All Work !!

Answers

Answer:

x + y + z = 4

Step-by-step explanation:

Give equations are,

2x + 3y - z = 5 --------(1)

x - 3y + 2z = -6 --------(2)

3x + y - 4z = -8 --------(3)

By adding equations (1) and (2),

(2x + 3y - z) + (x - 3y + 2z) = 5 - 6

3x + z = -1 -------(4)

By multiplying equation (3) by 3, then by adding to equation (2)

(9x + 3y - 12z) + (x - 3y + 2z) = -24 - 6

10x - 10z = -30

x - z = -3 --------- (5)

By adding equation (4) and (5),

(3x + z) + (x - z) = -1 - 3

4x = -4

x = -1

From equation (5),

-1 - z = -3

z = 2

From equation (1),

2(-1) + 3y - 2 = 5

-2 + 3y - 2 = 5

3y = 5 + 4

y = 3

Therefore, x + y + z = -1 + 3 + 2

x + y + z = 4

FACTOR THIS EXPRESSION -385y LOOK AT THE SCREENSHOT THANKS AND BRAINLIST IF CORRECT PLEASE HELP

Answers

Answer:

-1*5*7*11*y

Step-by-step explanation:

This is the prime factorization of 385y times -1.

n/8 = (-7) help please

Answers

Answer:

n = -56

Step-by-step explanation:

n/8 = (-7)

Multiply each side by 8

n/8* 8 = (-7)*8

n = -56

Answer:

[tex]n=-56[/tex]

Step-by-step explanation:

We can use algebra and simplify the equation until we have n isolated.

[tex]\frac{n}{8} = -7\\\frac{n}{8}\cdot8 = -7\cdot8\\\\n=-56[/tex]

Hope this helped!

Helppp thank you!!!!!

Answers

Answer:

D

Step-by-step explanation:

x is greater than 12:

[tex]x>12 \text{ or } 12<x[/tex]

and x is less than or equal to 3 times the value of y:

[tex]12<x\leq 3y[/tex]

We can divide everything by 3:

[tex]4<\frac{x}{3} \leq y[/tex]

solo savings bank received an initial deposit of $6000 it kept a percentage of this money in reserve based on the reserve rate and loaned out the rest the amount it loaned out was eventually all deposited back in the bank if the cycle continued indefinitely and eventually the $6000 turned into $200000 what was the reserve rate?

Answers

Answer:

Reserve rate = 3%

Step-by-step explanation:

Reserve Ratio = Reserve Maintained with Central Bank / Deposit Liabilities × 100

Reserve maintained = $6,000

Deposit liabilities = $200,000

Reserve Rate = Reserve Maintained with Central Bank / Deposit Liabilities × 1000

=$6,000 / $200,000 × 100

=0.03 × 100

r=0.03 × 100

=3%

Therefore,

Reserve Rate =3%

ABCD is a parallelogram. Find the values of x and y. Solve for the value of z, if z = x - y.
A
B
(x+30)° (x-30)
(y+20)
D
С

Answers

Answer:

(x+30)+(x-30)=180

2x=180

x=90

x+30=y+20

90+30=y+20

y=100°

There for z = -10

-10 the top answer is correct


7. Consider a topograph with values 1,7,-2 as in the margin (pictured).
Fill in the ?s to satisfy the arithmetic progression rule

Answers

Answer:

  see below

Step-by-step explanation:

The "arithmetic progression rule" requires the numbers on either side of an edge make an arithmetic progression with the numbers at either end.

If we label the variables 'a', 'b', 'c' clockwise from top, then the rule means we have ...

  2a -b +2c = 1

  2a +2b -c = 7

  -a +2b +2c = -2

Solution

Adding twice the second equation to each of the other two gives ...

  2(2a +2b -c) +(2a -b +2c) = 2(7) +(1)

  6a +3b = 15 . . . . [eq4]

and

  2(2a +2b -c) +(-a +2b +2c) = 2(7) +(-2)

  3a +6b = 12 . . . . [eq5]

Subtracting [eq5] from twice [eq4] we have ...

  2(6a +3b) -(3a +6b) = 2(15) -(12)

  9a = 18

  a = 2

From [eq4], we can find b:

  b = (15 -6a)/3 = 5 -2a = 5 -2(2) = 1

From [eq2] we can find c:

  c = 2(a+b) -7 = 2(2+1) -7 = -1

These values are shown on the diagram below.

help with this you guys i know im asking to many questions and sorry because im going to keep asking them.

Answers

D is your answer please like this answer

the square of 1/4 equal the square root of

Answers

Answer:

[tex]\frac{1}{256}[/tex]

Step-by-step explanation:

(¼)²=√x

√x=1/16

x=(1/16)²

x= 1/256

Gary is using an indirect method to prove that segment DE is not parallel to segment BC in the triangle ABC shown below:

A triangle ABC is shown. D is a point on side AB and E is a point on side AC. Points D and E are joined using a straight line.

He starts with the assumption that segment DE is parallel to segment BC.

Which inequality will he use to contradict the assumption?

Answers

Answer:

That Ratios aren't equal.

Step-by-step explanation:

Given: DE is || to BC.

So in order to make this false then we have to say that the sides aren't proprtional, making it not possible to get the ratios equal.

(See the Triangle proprtionality theorem or the triangle midsegment theorem)      

Answer:

4:10 ≠ 6:14

Step-by-step explanation:

bc i said so

Please Help Me With This I Will Mark Brainliest If You Are Correct!!!!!!!!!!! Determine the intervals on which the function is increasing, decreasing, and constant. A coordinate axis is drawn with a parabola pointing up that has vertex of 0,3. A). Increasing x 0 B). Increasing x > 0; Decreasing x 3 D). Increasing x > 3; Decreasing x < 3

Answers

Answer:

Increasing x> 3

Decreasing x< 3

Step-by-step explanation:

If you imagine drawing a tangent line (a line which touches a curve or shape at one point) at some point on the graph, you can see if a curve is increasing or decreasing at that point; and on the whole interval.

Doing this I find that the curve is decreasing on x< 3 and increases on x> 3

this is progression
i need to know C plsssss
thankssssssssssßsssssss

Answers

Answer:

[tex]l = 28[/tex]

Step-by-step explanation:

Given

[tex]S = \sum (2k - 3); k = 4\ to\ l[/tex]

Required

What is l when S = 725

This can be solved using Sum of n terms of an AP;

[tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex]

Where

[tex]S_n = 725[/tex]

[tex]T_1 = first\ term[/tex]

To get T1; we substitute 4 for k in 2k - 3

[tex]T_1 = 2 * 4 - 3[/tex]

[tex]T_1 = 8 - 3[/tex]

[tex]T_1 = 5[/tex]

[tex]T_n = last\ term[/tex]

To get Tn; we substitute l for k in 2k - 3

[tex]T_n = 2 * l - 3[/tex]

[tex]T_n = 2l - 3[/tex]

n = the number of terms;

Since k = 4 to l, then

[tex]n = l - 4 +1[/tex]

[tex]n = l - 3[/tex]

Substitute these values in [tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex]

[tex]725 = \frac{l-3}{2}(5 + 2l - 3)[/tex]

Collect Like Terms

[tex]725 = \frac{l-3}{2}(2l + 5- 3)[/tex]

[tex]725 = \frac{l-3}{2}(2l + 2)[/tex]

Open the bracket

[tex]725 = \frac{l-3}{2} * 2l + \frac{l-3}{2} * 2[/tex]

[tex]725 = (l-3) * l + (l-3)[/tex]

[tex]725 = l^2-3l + l-3[/tex]

[tex]725 = l^2-2l -3[/tex]

Subtract 725 from both sides

[tex]725 - 725 = l^2-2l -3 - 725[/tex]

[tex]l^2-2l -3 - 725 = 0[/tex]

[tex]l^2-2l - 728 = 0[/tex]

[tex]l^2 + 26l - 28l - 728 = 0[/tex]

[tex]l(l + 26) - 28(l + 26) = 0[/tex]

[tex](l - 28)(l + 26) = 0[/tex]

[tex]l - 28 = 0[/tex] or [tex]l + 26 = 0[/tex]

[tex]l = 28[/tex] or [tex]l = -26[/tex]

But l must be positive;

Hence, [tex]l = 28[/tex]

with a tax rate of 0.0200, a tax bill of 1050 corresponds to an assessed valuation of

Answers

Answer:

$52,500

Step-by-step explanation:

1050/0.0200=52500

Answer:

B. 52,500

Step-by-step explanation:

Help me with this please :)

Answers

Answer:

Hey there!

X+Y=0.

For example, two numbers that are equally far from the 0 on a number line are -2 and 2.

-2+2=0

Hope this helps :)

Answer:

x + y = 0

Step-by-step explanation:

Since the two values are the same distance from zero on the number line (i.e., they are equivalent in distance) and one is in the negative direction, and the other is in the positive direction, then the sum of both will be zero.

Since they are the same distance, just opposite in direction, it requires the same amount of "hops" for both values to reach zero, hence they will cancel each other out when added together.

Consider, -1 and 1.  Both are the same distance from 0; however, if you add them together (-1 + 1) you'll get the sum to be 0.

Cheers.

u and v are position vectors with terminal points at (-8, 5) and (-3, -12), respectively. Find the terminal point of u + v

(-11, -7)
(-11, 7)
(-5, -7)
(5, -17)

Answers

Answer:

(-11,-7)

Step-by-step explanation:

 U           V

(-8,5) + (-3,-12)

(-8 - 3) , (5 - 12)

-11 , -7

(-11,7)

Answer:

(-11,-7)

Step-by-step explanation:

u =  (-8, 5)

v =  (-3, -12)

u+v = ( -8+-3, 5+-12)

      = (-11,-7)

Solve for x and draw a number line. 3x−91>−87 AND 17x−16>18

Answers

Answer:

I hope this will help!

Step-by-step explanation:

Other Questions
The width of a rectangle measures (6.8d-4.2)(6.8d4.2) centimeters, and its length measures (9.2d+8.7)(9.2d+8.7) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle? WILL AWARD BRAINLIEST IF CORRECT!!!!! ALSO PLEASR HURRY I'M ON A TIMER!! Which graph represents the following piecewise defined function? (images attatched) Write the explicit rule by writing each term as the product of the first term.1.) N 1 2 3 4 F(n) 3 15 75 3752.) 40, 60, 90, 135, A water strider (which can walk on water)has legs that are coated with a hydrophobic substance. What might be the benefit? What would happen if the substance were hydrophilic? Shireen starts from 100 and writes a series of numbers in which EACH NUMBER IS 4 MORE THAN THE NUMBER AFTER IT. Shireen's series will be A.100, 104, 108, 112, B.100, 104, 100, 104, C.100, 96, 92, 88, D.100, 400, 800, 1200, speech on mother Teresa. On the circle below, tangent line BC is constructed by striking an arc from point D that intersects circle A at point B. The measure of EC is 8 units and other measures are shown on the diagram below. Enter the distance from point D to point B. Raj tested his new flashlight by shining it on his bedroom wall. The beam of light can be described by the equation . How many inches wide is the beam of light on the wall? Bank's Balance Sheet Assets Liabilities and Owners' Equity $1,600 $250 Securities $1,000 Capital (owners' equity) $150 Reserves$200 Deposits Loans $800 Debt Suppose the owners of the bank borrow $100 to supplement their existing reserves. This would increase the reserves account and ______ the ______ account. This would also bring the leverage ratio from its initial value of __________ to a new value of_______ Which of the following is true of the capital requirement? a. The higher the percentage of assets a bank holds as loans, the higher the capital requirement. b. A minimum leverage ratio for all banks. c. Its intended goal is to protect the interests of those who hold equity in the bank. (Algebra) PLZ HELP ASAP! Basics Test - English EXIT PREVIOUS Paul is setting up a marketing/sales event at a community center where he is going to discuss UnitedHealthcare Medicare Advantage plans. He has placed a UnitedHealthcare logo pen ($3 value), Clarity consumer workbook, and an Enrollment Guide at each seat. What, if anything, has Paul done wrong TB MC Qu. 8-174 LBC Corporation makes and sells ... LBC Corporation makes and sells a product called Product WZ. Each unit of Product WZ requires 2.0 hours of direct labor at the rate of $16.00 per direct labor-hour. Management would like you to prepare a Direct Labor Budget for June. The company plans to sell 39,000 units of Product WZ in June. The finished goods inventories on June 1 and June 30 are budgeted to be 610 and 110 units, respectively. Budgeted direct labor costs for June would be: please help meI really tried to do it plls 20 poinsts will mark brainlest Which organisms transform nitrogen to a form that is useful to plants?bacteriaanimalsfungihumans NIST recommends selecting cloud providers that support strong encryption, have appropriate redundancy mechanisms in place, employ authentication mechanisms, and offer subscribers sufficient visibility about mechanisms used to protect subscribers from other subscribers and the provider.a) trueb) false What is happening to this graph when the x-values are between - 1 and 1?A. It is decreasing.B. It is constantC. It is increasing An architectural drawing lists the scale as 1/4" = 1'. If a bedroom measures 6 3/4" by 4 1/2" on the drawing, how large is the bedroom? Please Help! (No other information was given.) Construct a polynomial function with the following properties: fifth degree, 4 is a zero of multiplicity 3, 4 is the only other zero, leading coefficient is 4. setup problem so I can solve, thanks!! Suppose you start at the origin, move along the x-axis a distance of 5 units in the positive direction, and then move downward along the z-axis a distance of 3 units. What are the coordinates of your position