The volume Vof a cylindrical can is represented by the formula V=πr2h, where h is the height and r is the radius. A cylindrical can has a volume of 1014π cubic centimeters and a height of 6 centimeters. What is the radius of the can?

Answers

Answer 1

Answer:

Step-by-step explanation:

V = πr²h

1014π = πr²·6

r² = 1014/6 = 169

r = 13 cm


Related Questions

Evalua la siguiente
expresión algebraica si
X=3 Y=2
3x + 4y =

Answers

Answer:

3x + 4y = 17

Step-by-step explanation:

Espero y te haiga ayudado :)

CAN SOMEONE PLEASE HELP ME!!!!!!!!!

Answers

Answer:

12(m +1) > 18m - 3

12m + 12 > 18m - 3

12+3 > 18m - 12m

15 > 6 m.

m < 15/6

m < 2.5

4th option is correct.

Answer:

{m| m < 2.5}

Step-by-step explanation:

m < 2 1/2,m < 2.5 , m ∑ [-∞, 5/2]

hope that helped!

A bicycle wheel makes five rotations. The bicycle travels ft. Find the diameter of the wheel in inches. Use 3.14 for .

Answers

Answer:

[tex]r=\frac{L}{2pi R}[/tex]

Diameter=2r

inches=12*ft

Step-by-step explanation:

You forgot to say how far the bike travels.

Given R rotations, L feet, and a wheel radius of r, then the relationship is

[tex]L=2\pi rR[/tex]

Solving this for r gives

[tex]r=\frac{L}{2pi R}[/tex]

Diameter=2r

inches=12*ft

Marisol buys 3 notebooks that each cost the same amount and 1 calculator that costs $9. The total cost is $21. How much does each notebook cost?

Answers

Answer: 4 dollars for each notebook

Step-by-step explanation:

21-9= 12

12/3=4

each notebooks costs 4 dollars

Answer:

$4

Step-by-step explanation:

help :( submit in simplest radical form :(

Answers

Answer:

y and x equal

[tex] \sqrt{5 } [/tex]

sin = opposite/ hypotenuse

sin 45° = x / √10

√10 sin 45° = x

x = √5

cosine = adjacent / hypotenuse

cos 45° = y / √10

√10 cos 45° = y

y = √5


both x = √5 and y = √5



12.5(7) + 11.9(8)=?


Answers

Answer:the answer is 182.7

Step-by-step explanation:brainliest please Sans Undertale out

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11. Let f(x) = 2x² + 7x + 5

Answers

Answer:

(x+1)(2x+5)

Step-by-step explanation:

f(x) = 2x² + 7x + 5

Factor the expression by grouping. First, the expression needs to be rewritten as 2x²+ax+bx+5. To find a and b, set up a system to be solved.

a+b=7

ab=2×5=10

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 10.

1,10

2,5

Calculate the sum for each pair.

1+10=11

2+5=7

The solution is the pair that gives sum 7.

a=2

b=5

2x²+7x+5 as (2x²+2x)+(5x+5).

(2x²+2x)+(5x+5)

Factor out 2x in the first and 5 in the second group.

2x(x+1)+5(x+1)

Factor out common term x+1 by using distributive property.

(x+1)(2x+5)

A bucket that has a mass of 20 kg when filled with sand needs to be lifted to the top of a 10 meter tall building. You have a rope that has a mass of 0.4 kg/m that must be secured to the bucket. It takes 1 meter of rope to secure the bucket. Once the bucket reaches the top of the building it only has mass 16 kg because there was a hole in the bottom and sand was leaking out at a constant rate while it was being lifted to the top of the building.

Find the work done lifting the bucket (sand and rope) to the top of the building.

Answers

Answer:

W=2001.24 newton meters

Caution: check units and arithmetic - I often make errors.

Step-by-step explanation:

Work is force times distance.

Denote height by h where h=0 is at ground level.

Denote the mass of the bucket and rope at height h by m(h).

The rate at which the bucket loses mass with height is (20-16)/10=0.4 kg/m

The rate at which the rope between the bucket and the top of the building loses mass is 0.4 kg/m

The initial mass of the bucket and rope is

[tex]m_{0}=20+0.4+0.4(10)=24.4[/tex]

The mass at height h is

[tex]m(h)=24.4-0.8h[/tex]

The force required at height h is

m(h)g

where g is the gravitational acceleration.

g=9.81 meters/sec/sec

The work required is

[tex]\int\limits^b_a {m(h)g} \, dh[/tex]

Where a=0 and b=10

[tex]g\int\limits^b_a {(24.4-0.8h)} \, dh=g(24.4h-0.4h^2)\left \{ {{10} \atop {0}} \right.[/tex]

g(244-40)=204g

W=2001.24 newton meters

From a point 80 m from the base of a tower, the angle of elevation to the top of the tower is 28°. How tall is
the tower (remember: 3 decimal places)?
The height of the tower is [A] m.

Answers

Answer:

42.537 m

Step-by-step explanation:

Let x = height of tower

tan 28 = x/80

x = 80 tan 28

x = 42.537 m

What is equivalent to 1/3(x9x + 12) + 4x + 6

Answers

Answer:

1/3(9x+12)+4x+6=x

We move all terms to the left:

1/3(9x+12)+4x+6-(x)=0

Domain of the equation: 3(9x+12)!=0

x∈R

We add all the numbers together, and all the variables

3x+1/3(9x+12)+6=0

We multiply all the terms by the denominator

3x*3(9x+12)+6*3(9x+12)+1=0

Wy multiply elements

9x^2(9+18x(9+1=0

Step-by-step explanation:

A circle of a radius r,cm inside a square, so that the circle touches the sides of the square.
a) calculate the area of the shaded region when r=6

Answers

Answer:

30.9 square cm

Step-by-step explanation:

subtract area of circle from area of square

Area of square = 12² or 144  

(each side is twice the radius)

Area of circle = 6²π or 113.1

Write the word sentences as an equation! Half of a number q is 14.

Answers

Answer:

q/2=14

I hope this helped you :)

The independent variable is represented by the symbol(s)
1. Y
2. xy
3. Both A and B
4. X
5. None of the above​

Answers

Answer:

4

Step-by-step explanation:

because variable is independent

What number is between 5/2 and the other number In the photo.

Answers

5/2 would simplify to 2.5 and √11 would be 3.3 so the answer should be 3

If you can buy 4 containers of pudding for $4.20 how much can you buy for $9.45 math problem PARAMETERS
*** 7 STEPS ***

Answers

Answer:

9 containers

Step-by-step explanation:

$4.20 for 4 containers

Form that we can find the cost per container, the unit cost.

$4.20 / 4 containers = $1.05/container

Each container costs $1.05

Now we find the number of containers we can buy with $9.45 by dividing $9.45 by the unit cost.

$9.45/($1.05/container) = 9 containers

Answer: 9 containers

Step-by-step explanation:

Four containers of pudding cost $4.20.

4x = 4.20

x = 1.05

Using this we know that one container of pudding costs $1.05.

Then, divide the maximum amount that you have by the cost of one.

9.45/1.05 = 9

With $9.45, you can buy nine cups of pudding.

In the case that you can buy the four containers in bulk (4 at a time)...

You can only buy 8 containers of pudding (two) because $4.20 only fits into $9.45 twice.

Rick earned 36 extra credit points. Cindy earned e fewer extra credit points than Rick. Write
an expression that shows how many extra credit points Cindy earned.
PLEASE ANSWER

Answers

Answer:

36-e

Step-by-step explanation:

-


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

y = x + 11

Step-by-step explanation:

The table is showing 4 x and y values. With the question of which equation gives the rule of the table.

To solve, all we have to do is plug in x with the correspondant equation, same goes with y.

y = x + 11 will be the only one that fits mainly because all the other ones gives a higher result.

Answer:

y = x + 11

Step-by-step explanation:

y + 11 = 11

1 + 11 = 12

2 + 11 = 13

3+ 11 = 14

4+ 11 = 15

y is the first row, 1,2,3,and 4

11 is 11 (lol)

x is the answer

your answer is y=x+11

Solve for x in equation x^2-10x25=35

Answers

Answer:   b

Step-by-step explanation:

x= 5+√35 and 5-√35

1. A house cost $112,000 in 2010. By the year 2015, the house had a value of $132,000. What was the growth rate as a percent for that 5-year period?


Pls help


A. 6.48%


B. 3.34%


C. 5.23%


D. 2.15%

Answers

Answer:

The growth rate for the period was of 17.86%.

Step-by-step explanation:

To find the growth rate as a percent, we multiply the change by 100, and divide by the initial value.

A house cost $112,000 in 2010. By the year 2015, the house had a value of $132,000.

Change: 132 - 112 = 20

Initial value: 112

Growth rate as a percent:

20*100/112 = 17.86%

The growth rate for the period was of 17.86%.

Answer:b

Step-by-step explanation:

What is an
equation of the line that passes through the points (8, 5) and (-6, 5):

Answers

Answer:

y=8

Step-by-step explanation:

formula of a line equation

y=MX+c

m=Y2-Y1÷X2-X1

m=5-5÷-6-8

m=0÷-14

m=0

substitution

using (8,5)

8=0(5)+c

8=c

The management team of a company with 10,000 employees is considering installing charging stations for electric cars in the company parking lots. In a random sample of 500 employees, 15 reported owning an electric car. What is a 99 percent confidence interval for the proportion of all employees at the company who own an electric car?

Answers

Answer:

The 99 percent confidence interval for the proportion of all employees at the company who own an electric car is (0.0104, 0.0496).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

In a random sample of 500 employees, 15 reported owning an electric car.

This means that [tex]n = 500, \pi = \frac{15}{500} = 0.03[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.03 - 2.575\sqrt{\frac{0.03*0.97}{500}} = 0.0104[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.03 + 2.575\sqrt{\frac{0.03*0.97}{500}} = 0.0496[/tex]

The 99 percent confidence interval for the proportion of all employees at the company who own an electric car is (0.0104, 0.0496).

You can find the standard mean error and then use that to find the confidence interval limits.

The 99% confidence interval for the proportion of all employees at the company who own an electric car is given by

Lower limit = 0.0104

Upper limit = 0.0496

The confidence interval is (0.0104, 0.0496) (can include those end points too)

How to find the confidence interval for proportions?

Let the sample size be n

Let the interested quantities in the sample be present x times

Let the confidence level be of p%.

Then the level of significance is given by [tex]\alpha = 1 - p/100[/tex]

The standard mean error is calculated by:

[tex]SME = \sqrt{\dfrac{x(n-x)}{n^3}}[/tex]

Then the confidence interval limits can be found by

[tex]CI = \dfrac{x}{n} \pm Z_{\alpha/2}(SME)[/tex]

Using above formula for finding the confidence interval

We have n = 500, x = 15 and [tex]\alpha = 1 - 0.99 = 0.01[/tex]

Finding the standard mean error:

[tex]SME = \sqrt{\dfrac{x(n-x)}{n^3}}\\\\SME = \sqrt{\dfrac{15 \times 485}{500^3}} \approx 0.00763[/tex]

From the z tables, at [tex]\alpha/2 = 0.01/2 = 0.005[/tex], we get z = 2.5758

Thus, the confidence interval is obtained by

[tex]CI = \dfrac{x}{n} \pm Z_{\alpha/2}(SME)\\\\CI = \dfrac{15}{500} \pm 2.575 \times 0.00763\\\\CI = 0.03 \pm 0.0196[/tex]

Lower limit = 0.0104

Upper limit = 0.0496

Thus,

The 99% confidence interval for the proportion of all employees at the company who own an electric car is given by

Lower limit = 0.0104

Upper limit = 0.0496

The confidence interval is (0.0104, 0.0496) (can include those end points too)

Learn more about confidence interval here:

https://brainly.com/question/16427118

13. Jannah purchased flowers to plant in
her garden. She planted 2 flowers in
each of her 5 flower beds plus 8 flowers
around a pond. Write an expression
that shows how many flowers Jannah
planted.

Answers

Answer:

2x5=10+8

Step-by-step explanation:

my answer need to be 20 characters long so I had to write this too


In the figure, the horizontal lines are parallel and AB = BC = CD. Find JM.

A.15
B.10
C.5
D. 20

Answers

Answer:

By the transversal theorem, if segments on a transversal cut by parallel lines are equal, then similar segments cut by the same parallel lines on another transversal are also equal.

Therefore

JK=KL=LM=5

=>

JM=3*5=15

Step-by-step explanation:

Eight hundred fifty two thousand, six hundred seventy four and thirty five hundredths in numbers​

Answers

Answer:

Number = 857674.35

Step-by-step explanation:

Translating the word problem into a numerical format;

Eight hundred and fifty two thousand = 852,000

Six hundred and seventy four = 674

Thirty five hundredths = 35/100 = 0.35

Now, we would add all of the values together.

Number = 852,000 + 674 + 0.35

Number = 857674.35

17. Which is M=9pn solved for p? (1 point)
p = M/n p= M-9n. p= 9n/M. p=M/9n

Answers

B 56

Step-by-step explanation:

hitunglah luas permukaan balok dengan ukuran sebagai berikut
a. 8 cm × 4 cm × 2cm
B. 8 cm × 3 cm × 4 cm ​

Answers

jawaban

a. = 112 cm²b. = 136 cm²

penjelasan langkah demi langkah( step by step explanation )

Total Luas Permukaan = 2 (Panjang x Lebar + Lebar x Tinggi + Panjang x Tinggi)

a.Luas Permukaan = 2( 8×4 + 4×2 + 2×8 )

= 2 ( 32 + 8 + 16 )

= 2 × 56

= 112 cm²

b.Luas Permukaan = 2( 8×3 + 3×4 + 4×8 )

= 2 ( 24 + 12 + 32 )

= 2 × 68

= 136 cm²

Goes through points (-2,-1) and (-3,5)
Help me pleaseeeeeeeeeee

Answers

Answer:

Distance between two points = √37

Step-by-step explanation:

Given:

(-2,-1)

(-3,5)

Find:

Distance between two points

Computation:

Distance = √(x1 -x2)² + (y1 - y2)²

Distance between two points = √(-2+3)² + (-1 - 5)²

Distance between two points = √ 1 + 36

Distance between two points = √37

what is the area of 5m, 17m, 8m, and 5m, the shape is a kite

Answers

Answer:

It can't be a kite. A kite has 2 pairs of equal sides.

Step-by-step explanation:

Which table or graph shows the value of y going down as the value of x goes up?

Answers

Answer:

c.

Step-by-step explanation:

Hi! I am having a hard time with this question. Can anyone help me out? I only need to answer the questions with the red circles

Answers

Answers: cos A=b/a, sin J=j/l, tan K=k/j

Explanation: The trig ratios are SohCahToa or Sin(o/h), Cos(a/h), and Tan(o/a).

When A is the reference angle, b is the adjacent side and a is always the hypotenuse (Cah).
When J is the reference angle, j is the opposite side and l is always the hypotenuse (Soh).
When K is the reference angle, k is the opposite side and j is the adjacent side (Toa).

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