The formula for the volume of a cylinder is v=piR^2h where v is the volume, R is the radius, and h is the height solve the formula for R and then use it to answer the question.

A cylindrical bucket contains 615 cubic inches of water. The height of the water is 4 inches

What is the radius of the bucket, to the nearest whole number? Use 3.14 for pi

The Formula For The Volume Of A Cylinder Is V=piR^2h Where V Is The Volume, R Is The Radius, And H Is

Answers

Answer 1

Answer: Its 6

Step-by-step explanation: The answer is 5.99894 then you round it to 6.

Answer 2

The radius of the bucket, to the nearest whole number, is 7 inches.

So, option A. is correct.

Here, we have,

To solve the formula v = πR²h for R, we can rearrange the equation as follows:

v = πR²h

R² = v / (πh)

R = √(v / (πh))

Given that the volume v is 615 cubic inches and the height h is 4 inches, we can substitute these values into the equation:

R = √(615 / (3.14 * 4))

Calculating the value, we have:

R ≈ √(48.98)

R ≈ 7

Therefore, the radius of the bucket, to the nearest whole number, is 7 inches.

Hence, So, option A. is correct.

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Related Questions

What are the points of intersection of the following functions? F(x)=3x+6 and g(x)=2x^2-3

Answers

Answer:

(3,15) and (-1.5, 1.5)

Step-by-step explanation:

If g(x) = 2x² - 3

The relationship between money earned and hours worked is linear joke and puetz the slope between 430 and 1290 that computes the slope between 4:30 and 10 75 how do the two slopes compare

Answers

Answer:

操你bit子Step-by-step explanation:

嗨,你好吗

Quick I need help 3 to the 8th power divided by 3 to the 3rd power divided by 3 to the 4th power?

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Lets start by solving what is in the parenthesis.

3^8 ÷  3^3

(6561  ÷  27) = 243

Lets finish solving the equation now that we have the quotient of what's in the parenthesis.

243 ÷  3^4

243 ÷  81

243 ÷  81 = 3

which following statements are true? 11.5=11.05, 17.18 2.48

Answers

Answer:

Step-by-step explanation:

11.5=11.5

Find the missing number so that the equation has infinitely many solutions. -4x+20=blank x+20

Answers

Answer:

0

Step-by-step explanation:

20 cancels itself out so

-4x = x

-4x - x = 0

-5x = 0

divide both sides by -5x

x= 0 but we don't write it out

For the equation -4x+20 to have infinite solution , it should be equal to

-4x+20 = -4x+20 , so the blank value is -4

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be -4x+20 = blank x + 20

Now ,

If the lines are coincident and have the same y-intercept, an endless solution can be generated.

The two lines with the same y-intercept and slope are the same line.

If the two lines share the same line, the system will produce an infinite solution. As a result, if the system of equations contains an infinite number of solutions, the system is consistent.

So , Both the equations should be equal for it to have infinite solutions

Therefore , -4x+20 = -4x+20

Hence , the value of the blank is -4

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Sam bought 3 boxes of chocolate online. Postage was $9 and the total cost was $45. How much was each box?

Answers

Answer:

12 dollars each

Step-by-step explanation:

do the math

Answer:

$1.7

Step-by-step explanation:

3 x 9 = 27

45 ÷ 27 =

about $1.7

Select all of the following functions that are quadratic.

y = 2x2

3 = 2x2 – 8

y = –2 + 2x – 8

y + 3x = 2x2 – 8

y +3x2 = 2x + 3x2 – 8

Answers

Answer:

y = 2x2

y + 3x = 2x2 – 8

Step-by-step explanation:

The equations that are quadratic in nature are -

y = 2x²2x² - 8 - 3 = 0y = 2x² - 3x - 8

What is a quadratic equation?

A quadratic equation is a equation that is of the form -

y = f{x} = ax² + bx + c.

Given are the set of equations.

A quadratic equation is a equation of degree 2. The equation with degree 2 are -

y = 2x²2x² - 8 - 3 = 0y = 2x² - 3x - 8

Therefore, the equations that are quadratic in nature are -

y = 2x²2x² - 8 - 3 = 0y = 2x² - 3x - 8

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The purple shape is a dilation of the black shape. What is the scale factor of the dilation?

Answers

The scale factor of this dilation is 4

Solve the equation vf=vi+at for a

Answers

vf = vi + at
-at = vi - vf
a = (vi - vf) / -t

Step by step order ....

Answers

To isolate x you would start by subtracting 1/2 from both sides and be left with 1/5x= 7/2, then you would multiply both sides by 5 to get rid of 1/5 and you would be left with x=35/2

Answer:

Step-by-step explanation:

1. Determine the LCM of the denominators LCM=10

2. Multiply each piece of the equation by the common denominator.

3. 2x + 5 = 40

4. Subtract 5 from both sides

5. 2x = 35

6. Divide both sides by 2

7. x = 35/2

PLZ HELP, GIVING BRAINLIEST!! A swimmer dives straight into the ocean. His depth, d, in meters after t seconds, can be modeled using the equation d = (t - 3)^2 - 16 What is the lowest depth the swimmer reaches? How long does it take the swimmer to reach the lowest depth? a. 9 feet, 16 seconds b. 16 feet, 3 seconds c. 3 feet, 16 seconds d. 16 feet, 9 seconds

Answers

I think it’s d because if you plug in 16 for d and solve for t, t is about 9, it’s the only one that’s closest to true, but you can try plugging them in and checking it

The time taken by the swimmer to reach the lowest depth will be 9 seconds. The correct option is D.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a swimmer dives straight into the ocean. His depth, d, in meters after t seconds, can be modeled using the equation d = (t - 3)² - 16.

The time will be calculated as below;-

d = ( t - 3 )² - 16.

16 = ( t - 3 )² - 16

32 =  ( t - 3 )²

√32 = t - 3

5.67 = t - 3

t = 5.67 + 3 = 8.67 ≅ 9 seconds

Therefore, the time taken by the swimmer to reach the lowest depth will be 9 seconds. The correct option is D.

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Tyler and Han is trying to solve this system by substitution:
x + 3y = -5
9x + 3y = 3
Tyler's first step is to isolate x in the first equation to get x = -5 - 3y. Hans first step is to isolate 3y in the first equation to get 3y = -5 - x show that both first steps can be used to solve the system and will yield the same solution.​

Answers

Answer:

The communicative property shows how these problems should both work therefore they can both be answered by different equations

Step-by-step explanation:

Answer:

The communicative property shows how these problems should both work therefore they can both be answered by different equation.

Step-by-step explanation:

What is the inverse of the function f(x) = 1/9 x + 2?

h(x) = 18x - 2
h(x) = 9x - 18
h(x) = 9x + 18
h(x) = 18x + 2​

Answers

Answer: the answer is option B. or h(x) = 9x - 18

Step-by-step explanation:

Answer: h(x) = 9x - 18

Step-by-step explanation:

I just took the test and got it right

Help solve! i am not sure what the answer is

Answers

The answer would be A. , all squares have 4 sides.

can someone please help me:/!!! i’m a sophomore in hs, this is integrated math 2 chapter 2 test!

Answers

Answer:

130°

Step-by-step explanation:

Angle 5 and Angle 8 are vertical angles, which therefore means the angles are congruent, or have the same measure. Since it tells us that Angle 8 measures 130°, we know Angle 5 will be 130° as well. I hope this helps :)

HELP PLEASEEEE A dressmaker needs to cut 4-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 4-inch pieces can the dressmaker cut from 15 of these rolls of ribbon? How many inches of ribbon does the dressmaker have, in total?

Answers

1620 - written as 4•3•9•15

Answer:

1620 peices

Step-by-step explanation:

9 ft = 9 x 12 (12 inches make 1 ft) = 108 x 15 rolls = 1620 inches

1620 inches divided by 4 inches = 405 peices

:)

I need help I have this problem and I think it either has to be simplified or turned into a fraction but I’m really sure it’s simplified anyway the equation is 5x+5x=10x please help

Answers

what are you specifially looking for? simplified it would be 10 and as a fraction 10 over 1

nobody is helping so imma do full points.
can someone tell me the domain and range for these two graphs?

Answers

Answer: i really needed this if you look and how much points i have you might understand

UwU

Step-by-step explanation:

Graph the given function. State the domain and range. y=-11√6-9x+1

Answers

Go to desmos then you will get your answer and makes sense graphining

Which scales are equivalent to 1 inch to 1 foot?

Select all that apply.

Group of answer choices

36 to 3

100 to 0.12

9 to 108

LaTeX: \frac{1}{12} 1 12 to 1

5 to 60

1 to 12

Flag this Question

Answers

36 to 3 100 to 0.12 and 9 to 108

Peter purchases a baseball card for $150 as an investment. His research tells him that the value of
the card should double every 3 years. When will the card reach a value of $ 4000?

Answers

Answer:

6 years

Step-by-step explanation:

Given

[tex]Initial\ Investment = 150[/tex]

[tex]Ratio = double[/tex]

Required

When will it get to 4000

This question illustrates a geometric progression and will be solved using:

[tex]T_n = ar^{n-1}[/tex]

In this case;

[tex]T_n = 4000[/tex]

[tex]r = double = 2[/tex]

[tex]a = 150[/tex]

So, we're to solve for n

[tex]4000 = 150 * 2^{n - 1}[/tex]

Divide through by 150

[tex]\frac{4000}{150} = 2^{n-1}[/tex]

[tex]26.67= 2^{n-1}[/tex]

Take Log of both sides

[tex]Log26.67= Log2^{n-1}[/tex]

Apply law of logarithm

[tex]Log26.67= ({n-1})Log2[/tex]

Take Log values

[tex]1.42602301569 = (n - 1) * 0.30102999566[/tex]

Make n - 1 the subject

[tex]n - 1 = \frac{1.42602301569}{0.30102999566}[/tex]

[tex]n - 1 = 4.73714591984[/tex]

Add 2 to both sides

[tex]n = 1 + 4.73714591984[/tex]

[tex]n = 5.73714591984[/tex]

[tex]n = 6[/tex] (Approximated)

Hence, it'll take 6 years

How many solutions does the following equation have?
14x + 12] = 0

Answers

Answer:

[tex]x=-\frac{6}{7}[/tex]

It has one solution

Step-by-step explanation:

[tex]14x + 12] = 0\\\\14x+12=0\\\mathrm{Subtract\:}12\mathrm{\:from\:both\:sides}\\14x+12-12=0-12\\\\Simplify\\14x=-12\\\\\mathrm{Divide\:both\:sides\:by\:}14\\\frac{14x}{14}=\frac{-12}{14}\\\\Simplify\\x=-\frac{6}{7}[/tex]

A parasail is 3/100 mile above the water. After five minutes, the parasail is 1/50 mile above the water. Find the change in height of the parasail.

Answers

Answer:

the change in height is 1/100 mile

Step-by-step explanation:

1/50 is also equal to 2/100, and since the previous height was 3/100 then you can just subtract 2/100 from 3/100 to get 1/100

Answer:

1/100

Step-by-step explanation:

1/50 = 2/100

then:

3/100 - 2/100 = (3-2)/100

= 1/100

At a certain company, the monthly salary of project managers can be modeled by the function f(x) = x4 – 10x 2 + 10,000, where x is the number of years of employment. After how many years would a project manager be eligible for a $20,000 monthly salary? after working for exactly 10 years after working for at least 10 1/4 years after working for exactly 12 years after working for at least 12 1/4 years

Answers

Answer:

after working for at least 10 1/4 years

Step-by-step explanation:

After working for at least  10 1/4 years  a project manager would be eligible for a $20,000 monthly salary.

What is the formula to solve quadratic equation?

A quadratic equation, [tex]ax^{2} +bx+c=0[/tex] is solved by

[tex]x=\frac{-b \pm \sqrt{b^2-4ac} }{2}[/tex]

Given function [tex]f(x)=x^4-10x^2+10000[/tex]

Function that has monthly salary $20,000 will be [tex]x^4-10x^2+10000=20000[/tex]

[tex]x^4-10x^2+10000-20000=0[/tex]

[tex]x^4-10x^2-10000=0[/tex]

Now using the formula [tex]x=\frac{-b \pm \sqrt{b^2-4ac} }{2}[/tex]

[tex]x^2=\frac{10 \pm \sqrt{10^2+40000} }{2}[/tex]

[tex]x^2=\frac{10 \pm \sqrt{40100} }{2}[/tex]

[tex]x^2=\frac{10 \pm 200.2}{2}[/tex]

[tex]x^2=5 \pm 100.1[/tex]

[tex]x^2=105.1[/tex]

[tex]x=\sqrt{105.1}[/tex]

[tex]x=10.25[/tex]

Hence, after working for at least  10 1/4 years  a project manager would be eligible for a $20,000 monthly salary.

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Geometry Basics Test
A polygon is said to be regular if all of its sides are the same length. Find the perimeter of the regular octagon
whose vertices are as follows.
(-2,-4), (1,0), (1,5), (-2,9), (-7,9), (-10,5), (-10,0), (-7,-4)
(1 point)
| units
Basic
7
8
9

Answers

Answer:

P=40

Step-by-step explanation:

find the distance between each vertices:

between the following points to find the length of each sides, octagon has 8 sides , since it is regular pentagon the distance between each vertices =5

the length of each side of octagon=5

to check :d=√(x2-x1)²+(y2-y1)²

(-2,-4) and (1,0) , d=√[(1-(-2)]²+(0+4)² =√3²+4², d=5

(1,0) and (1,5)  , d= 5

(1,5) and (-2,9) ,  d=5

(-2,9) and (-7,9) , d=5

(-7,9) and (-10,5) , d=5

(-10,5) and(-10,0) , d=5

(-10,0) and(-7,-4), d= 5

(-7,-4) and (-2,-4), d=5

perimeter of octagon = 8a ( a is the length of the side)

p=8(5)

P=40

Find the distance between each pair of points (8,5) ,(-1,3)

Answers

Answer:

d=9.220

Step-by-step explanation:

Answer:

sqrt(85)

Step-by-step explanation:

Use the distance formula.

d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]

d = sqrt[(-1 - 8)^2 + (3 - 5)^2]

d = sqrt[(-9)^2 + (-2)^2]

d = sqrt[81 + 4]

d = sqrt(85)

Answer: sqrt(85)

Write y = 3x - 5 in function notation

Answers

Answer:

f(x) = 3x -5

Step-by-step explanation:

The equation for a line is already a type of function, so you simply replace y for f(x), g(x), or something similar to that

The function notation of y = 3x - 5 is

f(x) = 3x - 5.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

y = 3x - 5

Put y = f(x)

Where x is the input and f(x) is the output.

Thus,

f(x) = 3x - 5 is our function.

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Clara says that if you square the number 4 and then divide the result by​ 2, you end up with 4. Is Clara​ correct? Explain. Please help.

Answers

Answer:

She is incorrect

Step-by-step explanation:

If you square 4 you get 16 and divide 16 and 2 you get 8 so shes wrong.

Answer: Clara is incorrect

Step-by-step explanation:

The square root of 4 is 2

2 ÷ 2 = 1

You end up with 1 not 4, therefore, Clara is wrong.

Edit: Look at the other answer, I sadly made a mistake thinking the question said square root but it said square I apologize .

Write an
equivalent expression by distributing the
sign outside the parentheses:
-(7v+1.1)

Answers

-(7v + 1.1) = -7v - 1.1

The equivalent value of the expression is A = -7v - 1.1

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = - ( 7v + 1.1 )   be equation (1)

Multiply by the value -1 throughout the brackets , we get

A = -1 ( 7v ) - ( 1.1 )

On simplifying , we get

A = -7v - 1.1

Hence , the expression is A = -7v - 1.1

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Would appreciate a reply back thank you! . The table shows the completion times of four swimmers in a race.
Swimmer
Time
(seconds)
183
Ryann
Shelbie
18.07
Madison
18
Tammi
18.8
Which swimmer came in second place?
A. Ryann
B. Shelbie
C. Madison
D. Tammi

Answers

Answer:

Shelby. If Ryann's time was 18.3, not 183 seconds, then the second-place winner would be Ryann.

Step-by-step explanation:

Looking at the table, we see that Madison had the lowest time, (18 seconds) and Shelbie and Tammie follow her in that order (Shelbie came second and Tammie third.) Again, if Ryann's time was 18.3 and not 183 seconds, he would have won second place and Shelbie would have gotten third. Hope this helped!

Shelbie came is second and Madison came in first. Shelbie finished .07 seconds after Madison.
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