He volume V (in cubic feet) of a right cylinder with a height of 5 feet and radius r (in feet) is given by V=5πr2. Solve the formula for r. Then find the radius of the cylinder when the volume is 770 cubic feet. Round your answer to the whole number.

Answers

Answer 1

Answer:

[tex] 770 = 5\pi r^2[/tex]

If we divide both sides by [tex] 5\pi[/tex] we got:

[tex] \frac{770}{5\pi} = r^2 [/tex]

And taking square root we got:

[tex] r = \sqrt{\frac{770}{5\pi}}= 7.001 ft[/tex]

And rounded to the nearest whole number we got 7 ft

Step-by-step explanation:

For this case we know that the hieght of a right cylinder is 5 ft and the volume is given by:

[tex] V = 5 \pi r^2 [/tex]

And we know that the volume [tex] V = 770 ft^3[/tex] and we want to solve for r so we can set up the following equation:

[tex] 770 = 5\pi r^2[/tex]

If we divide both sides by [tex] 5\pi[/tex] we got:

[tex] \frac{770}{5\pi} = r^2 [/tex]

And taking square root we got:

[tex] r = \sqrt{\frac{770}{5\pi}}= 7.001 ft[/tex]

And rounded to the nearest whole number we got 7 ft


Related Questions

The property taxes on a home varies directly with the value of the home. Jack currently lives in a home worth $172,000 and pays $13,760 in taxes.

Answers

Okay, where is your question?

(-3 x 10 to the 4th power) x (2 x 10 to the power of -3) RESPOND QUICK PLEASE

Answers

Answer:

-60

Step-by-step explanation:

(-3 x [tex]10^{4}[/tex]) x (2 x [tex]10^{-3}[/tex])

(-30,000) x (.002) = -60

Designer Dolls found that its number of Dress-Up Dolls sold, N, varies directly with their advertising budget, A, and inversely proportional with the price of each doll, P. When $54,000 was spent on advertising and the price of the doll is $90, then 9,600 units are sold. Determine the number of dolls sold if the amount of advertising budget is increased to $144,000.

Answers

Answer:

25,600

Step-by-step explanation:

You can use the rule of three considering that the number of dolls sold varies directly with the advertising budget:

$54,000    →   9,600

$144,000   →       x

[tex]x=\frac{144,000*9,600}{54,000}[/tex]

x=25,600

According to this, the number of dolls sold if the amount of advertising budget is increased to $144,000 is 25,600.

The number of dolls sold should be 25,600.

Given that,

When $54,000 was spent on advertising and the price of the doll is $90, then 9,600 units are sold.

Based on the above information, the calculation is as follows:

[tex]= \$144,000 \times 9,600 \div \$54,000[/tex]

= 25,600

Therefore we can conclude that The number of dolls sold should be 25,600.

Learn more: brainly.com/question/6201432

0.3 repeating as a fraction

Answers

Answer:

3/10 or three-tenths

Step-by-step explanation:

Hope this helps=D

Answer:

O.3 = 1/3

Step-by-step explanation:

divide 1÷3

you will get 0.3 to infinity

Please help, and thanks in advance!

Answers

Answer:

c i believe sorry if its wrong

Step-by-step explanation:

Answer:

3. A.

4. 136

Step-by-step explanation:

3. Find the surface area:

2 * 1  = 2

3 * 2.2 = 6.6

2 * 3 = 6

3 * 1 = 3

2 + 6.6 + 6 + 3 =  17.6

4. Find the surface area:

5 * 7 * 2 = 70

6 * 4 = 24

7 * 6 = 42

70 + 24 + 42 = 136

find the sum of the first 15 terms of the goemetric series 3+9+27

Answers

Answer:

Step-by-step explanation:

hello : here is an solution

write an equation that represents the points (2,6)(0,3) but a linear kind of an equation in any form

Answers

Answer:

y=[tex]\frac{3}{2} x+3[/tex]

Step-by-step explanation:

PLSSS HELP WLL GIVE BRAINLIEST!

Answers

Answer:

The order from top is

8 - 3

1 - 35

3 - 50

7 - 3/5

Step-by-step explanation:

ZA=
Round your answer to the nearest hundredth.
A
3
С
?
8
B

Answers

To find the value of angle A, we'll need to use a trigonometric function. In this case, we are given the adjacent side and the hypotenuse. So, we should use cosine. And because we are finding an angle, we will need to use the inverse cosine.

cos(a) = 3/8

a = cos^-1(3/8)

a = 67.98 degrees

Hope this helps! :)

A collar of Styrofoam is made to insulate a pipe. Find it's volume. That large R is to the outer rim. The smaller r us to the edge of the insulation. Use pi=3.14

Answers

Answer:

the volume of the pipe is 649.98 cubic inches.

Step-by-step explanation:

We have been given that a collar of Styrofoam is made to insulate a pipe. We are asked to find the volume of the given pipe.

We will use volume of hollow cylinder formula to solve our given problem.

[tex]\text{Volume of hollow cylinder}=\pi R^2h-\pi r^2h[/tex]

where,

R = Radius of external cylinder,

r = Radius of internal cylinder.

h = Height of cylinder.

substituting our given values in above formula, we will get:

[tex]\text{Volume of hollow cylinder}=\pi (5\text{ in})^2(\text{23 in})-\pi (4\text{ in})^2(\text{23 in})\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 ((5\text{ in})^2-(4\text{ in})^2)\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 (25\text{ in}^2-16\text{ in}^2)\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 (9\text{ in}^2)\text{Volume of hollow cylinder}=649.98\text{ in}^3[/tex]

Therefore, the volume of the pipe is 649.98 cubic inches.

A day of the week is randomly chosen What is the probability of choosing Monday or a day that starts with the letter
S?
P(Monday)
P(starts with 5)
P(Monday or starts with )​

Answers

Answer:

Well, P(Monday)= 1/7 = 14.3%

P(starts with S)= 2/7 = 28.6%

P(Monday or starts with S)= 3/7 = 42.9%

Step-by-step explanation:

Have a good day!!!

The probability of choosing Monday is,

P = 1 / 7

And, the probability of choosing starts with S is,

P = 2/7

And, the probability of choosing Monday or starts with S is,

P = 3/7

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

A day of the week is randomly chosen.

Since, Number of days in a week = 7

Hence, the probability of choosing Monday is,

P = 1 / 7

And, the probability of choosing starts with S is,

P = 2/7

So, the probability of choosing Monday or starts with S is,

P = 2/7 + 1/7

P = 3/7

Learn more about the probability visit:

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What does Keaton spend the most money on?
Keaton's Monthly Spending
What does Keaton spend the least money on?
Food
Keaton spends about as much money on rent as he
does on
Rent
Clothes
Hygiene Products
Entertainment

Answers

Answer:FOOD, HYGIENE, ENTERTAINMENT

Step-by-step explanation:

The answer is:

foodHygiene ProductsEntertainment

What is Data?

Data is referred to as a collection of information gathered by observations, measurements, research, or analysis. It may comprise facts, figures, numbers, names, or even general descriptions of things. Data can be organized in the form of graphs, charts, or tables for ease in our study. Data scientists help in analyzing the collected data through data mining.

According to the given information

a)Keaton spend the most money on Food.

b) Keaton spend the least money on Hygiene Products.

c) Keaton spends about as much money on rent as he does on Entertainment.

Learn more about data here:

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Anwar selects a playing card at random from the following 666 cards:
\{{left brace 999 of hearts, 555 of spades, 666 of hearts, 222 of spades, 444 of hearts, 777 of hearts\}}right brace
Let AAA be the event that Anwar selects an even-numbered card and BBB be the event that she chooses a heart.
Which of the following statements are true?

Answers

Answer:

We have 6 cards.

9 of hearts

5 of spades

6 of hearts

2 of spades

4 of hearts

7 of hearts.

A is the event where Anwar selects an even numbered card.

B is the event where she choses a heart.

we have 3 even cards (and two of them are hearts)

we have 4 hearts (2 of them are even)

The probability of event A is Pa = 3/6 = 1/2

the probability of event B is = Pb = 4/6 = 2/3

The probability of event A and Event B is the number of heart cards with even numbers, that are 2 divided the total number of cards:

Paandb = 2/6 =  1/3

the probabilty of A if we know that B is true:

P(AIB) = 2/4 = 1/2 (this is because we have 4 hearts, and we know that 2 of those 4 cards are even)

the probability of B if we know that A is true:

P(BIA) = 2/3 (this is because we have 3 even cards, and 2 of them are hearts)

Answer:

A,B,C,E

Step-by-step explanation:

Khan.

TRUST ME!!!!!!!!!!!! THIS IS RIGHT!!!!!!!

Find the surface area and volume of the triangular prism. Remember to show your work on scratch paper.
10 cm
6 cm
5 cm
8 cm

Answers

Answer:

27cm

Step-by-step explanation:

so you are dumb for not nowing it

At Your Town Bike Shop, handle bar streamers are sold in packs of two and beads for spokes are sold in sets of 10. Georgina purchases 2 packs of handle bar streamers and 3 sets of beads for $27.85 before tax. Alexis purchases 1 pack of streamers and 4 sets of beads for $26.30 before tax. If Nana wants to buy 3 packs of streamers and 6 sets of beads, how much will her bill be before tax?

Answers

Answer: her bill be before tax is $49.2

Step-by-step explanation:

Let x represent the cost of 1 pack of handle bar streamers.

Let y represent the cost of 1 set of beads for spokes.

Georgina purchases 2 packs of handle bar streamers and 3 sets of beads for $27.85 before tax. It means that

2x + 3y = 27.85- - - - - - - - - 1

Alexis purchases 1 pack of streamers and 4 sets of beads for $26.30 before tax. It means that

x + 4y = 26.3

x = 26.3 - 4y - - - - - - - - - 2

Substituting equation 2 into equation 1, it becomes

2(26.3 - 4y) + 3y = 27.85

52.6 - 8y + 3y = 27.85

- 8y + 3y = 27.85 - 52.6

- 5y = - 24.75

y = - 24.75/-5

y = 4.95

x = 26.3 - 4y = 26.3 - 4(4.95)

x = 26.3 - 19.8

x = 6.5

If Nana wants to buy 3 packs of streamers and 6 sets of beads, her bill before tax would be

(3 × 6.5) + (6 × 4.95) = 19.5 + 29.7

= $49.2

Donna took twice as long to drive 720 miles and Maple took to drive 200 miles. Find the rates and ties of both if Donna's speed exceeded that of Maple by 40 miles per hour

Answers

Answer:

Donna traveled for 8 hours at 90 mph

Maple traveled for 4 hours at 50 mph

Step-by-step explanation:

The velocity at which each person traveled is given by the distance traveled divided by the time spent (t). From the information given, the following expressions can be written

[tex]t_d = 2t_m\\V_d = V_m+40\\V_d = \frac{720}{t_d}\\V_m = \frac{200}{t_m}\\\\V_d = \frac{360}{t_m}\\ \frac{360}{t_m}=\frac{200}{t_m}+40\\t_m = 4\ hours\\t_d=2*4 = 8\ hours\\\\V_d = \frac{720}{8}=90\ mph\\V_m = \frac{200}{4}=50\ mph\\[/tex]

Therefore, Donna traveled for 8 hours at 90 mph and Maple traveled for 4 hours at 50 mph.

PLSSS HELP!! WILL GIVE BRAINLIEST!

Answers

Answer:

Although it's blurry, I believe y is equal to 3.

Step-by-step explanation:

You can see where x (the horizontal line) = 7, then go up to where the diagonal line meets that point, which is at y (the vertical line) = 3.

Answer:

y =  [tex]2 \frac{11}{12}[/tex] gallons

Step-by-step explanation:

The water run at a constant speed with the slope of 5/12.

Slope-intercept form would be y = 5/12x.

So if we were to plug it in the equation,

y = 5/12 (7) = 35/12 or 2 11/12.

Hope this helps ;D

Can someone please help with these 4 questions?

Answers

Answer:

Q4. 2144     Q5. -16     Q6.   Downwards     Q7.   0 seconds

Step-by-step explanation:

Q4.    h(t) = -16t² + 2400    Substitute 4 for t

h(4) = -16(4)² + 2400          Simplify the exponent

h(4) = -16(16) + 2400          Multiply

h(4) = -256 + 2400            Add

h(4) = 2144

Q5.   I graphed the equation on the graph below to find the instantaneous velocity. The instantaneous velocity is -16.

Q6.   At 4.5 seconds, the water rocket is traveling down because the highest point the rocket goes is at 2.8, so 4.5 is traveling downwards.

Q7.   0 seconds because the rocket goes 0 feet in 0 seconds.

If these answers are correct, please make me Brainliest!

Sean tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation 2 h tt = − 16t^2+ 72t+ 100 (where t is time in seconds and h is height in feet) How long will it take the coin to reach the stream?

Answers

Answer:

It will take 5.61 seconds for the coin to reach the stream.

Step-by-step explanation:

The height of the coin, after t seconds, is given by the following equation:

[tex]h(t) = -16t^{2} + 72t + 100[/tex]

How long will it take the coin to reach the stream?

The stream is the ground level.

So the coin reaches the stream when h(t) = 0.

[tex]h(t) = -16t^{2} + 72t + 100[/tex]

[tex]-16t^{2} + 72t + 100 = 0[/tex]

Multiplying by (-1)

[tex]16t^{2} - 72t - 100 = 0[/tex]

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]\bigtriangleup = b^{2} - 4ac[/tex]

In this question:

[tex]16t^{2} - 72t - 100 = 0[/tex]

So

[tex]a = 16, b = -72, c = -100[/tex]

[tex]\bigtriangleup = (-72)^{2} - 4*16*(-100) = 11584[/tex]

[tex]t_{1} = \frac{-(-72) + \sqrt{11584}}{2*16} = 5.61[/tex]

[tex]t_{2} = \frac{-(-72) - \sqrt{11584}}{2*16} = -1.11[/tex]

Time is a positive measure, so we take the positive value.

It will take 5.61 seconds for the coin to reach the stream.

At a restaurant, 40% of customers order tacos and 60% order fajitas. Of the customers that order tacos, 50% order a chicken tacos. Of the customers that order fajitas, 30% order chicken fajitas. What is the percentage of customers that order a chicken dinner (either chicken tacos or chicken fajitas)?

Answers

Answer:

38% order a chicken dinner

Step-by-step explanation:

40% order tacos.  50% of 40% order chicken tacos.  50% of 40% = 0.5 * 0.4 = 0.2 = 20% order chicken tacos.

60% order fajitas.  30% of 60% order chicken fajitas.  30% of 60% = 0.3 * 0.6 = 0.18 = 18% order chicken fajitas.

20% + 18% = 38% order a chicken dinner.

please help me simplify 4^8/4^5

Answers

Answer:

64

Step-by-step explanation:

64

Hope it helped!

Answer:

64

Step-by-step explanation:

4^8/4^5

we know that

4^8 = 65536

4^5 = 1024

Now,

65536/1024 = 64

Seventeen more than the product of a number and -3 is less than -29 plz answer

Answers

Answer:

-3x + 17 < -29

Step-by-step explanation:

b) Write 25 x 10° in standard form.

Answers

Answer:

2.5x10^1

Step-by-step explanation:

When the first number goes down, add one to the 10's power

Answer:

2.5x10∧1

Step-by-step explanation:

Suppose that 15 years ago, a benefactor set up an account for your education. This benefactor made a single deposit of $20,000 that has been earning 6% interest compounded monthly. Since the deposit 15 years ago, no money has been added to or taken from the account. Will this account be sufficient to cover tuition for all four years that you will be in school? (Answer this question using the school that you chose for parts C and D and the formula given below.) Make sure that the "time in years" that you use is 15 years + the number of years you will be at school.

Answers

Answer:

No it wont

Step-by-step explanation:

Which steps would be used to solve this equation?

StartFraction t Over 3 EndFraction = 2.78
Check all that apply.
Multiply by 3 on both sides of the equation.
Divide by 3 on both sides of the equation.
2.78 ÷ 3 = 0.93, so t = 0.93.
2.78 × 3 = 8.34, so t = 8.34.
Substitute 8.34 for t to check the solution.
Substitute 0.93 for t to check the solution.

Answers

Answer:

Multiply by 3 on both sides of the equation.

2.78 × 3 = 8.34, so t = 8.34.

Substitute 8.34 for t to check the solution.

Step-by-step explanation:

To solve the equation  [tex]\frac{t}{3}[/tex]= 2.78

we will use the steps below to solve this equation;

First, multiply by 3 on both-side of the equation. That is;

[tex]\frac{t}{3}[/tex] ×  3= 2.78 × 3

On the left hand side of the equation 3 will cancel-out 3, leaving us with just t while 3 will be multiply by 2.77 on the right-hand side of the equation to give 8.34

t = 8.34

we can further substitute 8.34 for t to check the correctness of the solution

that is;

[tex]\frac{8.34}{3}[/tex] =  2.78

Answer:

1,4,5

is the answer your welcome

Need help pls have no idea how to this

Answers

Answer:

The local minimum point of f(x) is at the point (-2,-2)

Step-by-step explanation:

the minimum point is located on the very bottom of the parabola!

so its cut off but its (-2,-2)

sorry I didnt see the 6,-2

so I am gussing the y-value is the minimum point so it should be -2....tell me if I am wrong but if your looking for a points it (-2,-2) if your looking for the value it would be -2

pls mark me brainliest

select two values of x that are roots of this equation (picture included)

x^2+2x-5=0

Answers

Answer:

B and D

Step-by-step explanation:

i took this test

The roots of the equation will be - 1 - √6 and - 1 + √6. Then the correct options are B and D.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The quadratic equation is given below.

x² + 2x - 5 = 0

The solution of the quadratic equation will be

x² + 2x - 5 = 0

Add 1 on both sides, then the equation will be

x² + 2x + 1 - 5 = 1

x² + 2x + 1 = 1 + 5

(x + 1)² = 6

Taking square root on both sides, then the equation will be

x + 1 = ±√6

    x = - 1 ±√6

Then the roots of the equation will be - 1 - √6 and - 1 + √6.

Then the correct options are B and D.

More about the solution of the equation link is given below.

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[8 + (24 x 3)] divided by 7

Use PEMDAS &’ show work .

Answers

Answer:

11.43

Step-by-step explanation:

[8 + (24 x 3)] divided by 7

[8 + (72)] divided by 7

80/7

11.42857142857143

11.43 (I rounded it)

Answer:

11.42

My explanation:

P( )

E *

M x

D /

A +

S -

the first step is to multiply 24x3 because parenthesses go first

the second step is that get the 72 form multiplying and add 8 to it becasue its inside the lines

third step is to divide by 7 and then you get 11.42

Feel free to ask for more help :)

A roof on a castle tower is shaped like a cone with a diameter of 12 feet and has a slant height of 13 feet one bundle of Shingles covers 32 ft.² how many bundles should you buy to cover the roof? What is the surface area of the roof ?

Answers

Answer:

Step-by-step explanation:

d = diameter = 12ft

r = d/2 = 12/2 = 6ft

Slant height = 13ft

Surface area of cone = π r 2 + π L r

Where L is the slant height of the cone π = 22/7

SA = 22/7×6×6+22/7×13×6

SA = 113.14+245.142

SA = 358.28ft^2

If one bundle of shingle covers 32 ft.²

Hence,358.28ft^2  = 358.28ft^2/32 ft.²

= 11.196

= 11.2 bundles

You have money in an account at 6% interest, compounded monthly. To the nearest year, how long
will it take for your money to double.

Answers

Answer:

Step-by-step explanation:

Let amount now be x , meaning principal is x

and the amount later A is 2x

A = P(1+r/n)^nt

n = 12

2x = x (1 + 0.06/12)^12t

divide through by x

2 = (1+ 0.005)^12t

2 = (1.005)^12t

Take log of both sides

log 2 = 12t log 1.005

12t = log2/log 1.005

12t = 138.975721610697

t = 138.975721610697/12

t = 11.58

t = 12 years

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