make r the subject of the formula in V= ⅓π r²h​

Answers

Answer 1

Answer:

switch the position

1/3πr²h=v

multiply all through by 3

3•1/3πr²h=3•v

3 will cancel out 3

πr²h=3v

divide both sides by πh

r²=3v/πh

root both sides

r=±√3v/πh


Related Questions

A mother and daughter decided to add their ages together. The sum of their ages is 76. Six years ago, the mother was 3 times the age of her daughter. How old is the daughter now?​

Answers

Answer: The answer will be 19

Answer: 23 years old

Step-by-step explanation:

PLEASE HELP find the arch shown in red leave your answer in terms of pi

Answers

Answer:

Answer:1296π

Step-by-step explanation:

As we know,

Area of cicle=πr^2

= π(36)^2

=1296π

Find the amplitude of this function.​

Answers

The amplitude is 2.5

Equation:

the equation to find the amplitude is (max-min) / 2.

using this equation, it would be (4 - (-1)) / 2

5 / 2 = 2.5

Which equation represents a population of 300 animals that increases at an annual rate of 23% ?

Answers

Answer:

300+(300 + 0.23x)

Step-by-step explanation:

I'm not sure what you are asking but this is the only equation I can get

In the following exercises, translate into an equation and solve
Kindergarten Connie’s kindergarten class has 24 children. She wants them to get into 4 equal groups. How many children will she put in each group?

Answers

Answer: 6 children

Step-by-step explanation:

Given:

Children - 24

Groups - 4

Number of children per group - x

Solve:

24 ÷ 4 = x

x = 6

Hope it helps!!! Please mark as brainliest. Thanks :D

7m
5m
6 m
4m
5 m
5m
What is the volume of the figure?
O 116 m³
O 190 m³
O 290 m³
x 390 m³

Answers

Answer:

290 m²

Step-by-step explanation:

The volume of the figure can be found by taking the sum of the volumes of the 2 cuboid.

[tex]\boxed{\text{Volume of cuboid}=\text{length}\times\text{breadth}\times\text{height}}[/tex]

Top cuboid

Length= 4 m

Breadth= 5 m

Height= 7 m

Volume= 4(5)(7)= 140 m²

Bottom cuboid

Length= 5 m

Breadth= 6 m

Height= 5 m

Volume= 5(6)(5)= 150 m²

Total volume

Total volume

= volume of top cuboid +volume of bottom cuboid

= 290 m²

Additional:

For a similar question on volume of composite figures, do check out the following!

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please help with this thank you!

Answers

Answer:

A. Half of

B. Twice

C. greater than

Step-by-step explanation:

The median of the box plot is the middle line of the box, so for set a it is approximately ten and for set b it is approximately 20. 10 is half of 20 and 20 is twice as much as 10.

Hope this helps

A farmer creates a rectangular pen using part of the wall of a barn for one side of the pen and a total of 130 feet of fencing for the remaining 3 sides, as shown in the diagram. Write and equation which gives the area of the pen, A, as a function of x, the length of fence parallel to the barn

Answers

The equation that describes the which gives the area of the pen, A, as a function of x, the length of fence parallel to the barn is A = 130x - x²

How to find area of a rectangle?

The pen is rectangular. Therefore,

area of a rectangle = lw

where

l = lengthw = width

Therefore,

perimeter = 2w + l

perimeter = 2w + x

130 = 2w + x

130 - x = 2w

w = 65 - 1/ 2 x

A = xw

A = x(65 - 1/ 2 x)

A = 65x - 1 / 2 x²

Therefore, the function that represents A, the area of the pen is as follows:

A = 130x - x²

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Which equations graph as circles?
x² + x + y² = 4
2x + x + y² = 8
x² + y² = 5
x² + x + y = 6
x² + y² + y = 1

Answers

Answer:

A, C, and D

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

integrated mathematics 2. need help with chapter 5 test please​

Answers

Answer:

1/4

Step-by-step explanation:

[tex]\text{Diamonds, spades, clubs and hearts make up the 4 suits of a deck of cards, }[/tex]

[tex]\text{which contains 52 cards. There are 13 diamonds in a pack.}[/tex]

[tex]\text{Probability of an event:}[/tex]

[tex]\text{ Number of favorable outcomes / Total number of outcomes}[/tex]

[tex]\text{Probability of getting a diamon}d = \frac{13}{52} = \frac{1}{4}.[/tex]

[tex]\text{So the chance that you draw out a diamond from a deck}=\frac{1}{4}[/tex] .

Graph the line with the equation y=-x-6

Answers

Answer:

in the picture

Step-by-step explanation:

You need 2 points to graph a line.

▪︎ if x = 0, y = 0 - 6 => y = -6

1st point: (0, -6)

▪︎if y = 0, 0 = -x - 6 => x = -6

2nd point: (-6, 0)

1¿Cuál es el signo del resultado de la suma de dos números enteros negativos?
y escribir un ejemplo...
2¿Cuál es el signo del resultado de la suma de dos números enteros con signos diferentes?
y escribir un ejemplo

Answers

La suma de dos números enteros negativos siempre será negativa. El signo de la suma de dos números enteros con signos diferentes dependera de cual tiene mayor valor absoluto.

¿Cuál es el signo del resultado de la suma de dos números enteros negativos?

La suma de dos números A y B se escribe como:

A + B.

Sí ambos números son negativos, los podemos escribir como:

A = -a

B = -b

Donde a y b son positivos.

Entonces la suma de esos dos nos dará:

(-a) + (-b) = -(a + b).

Es decir, el resultado de la suma es un número negativo.

Un ejemplo es sí tomamos:

A = -1

B = -4

(-1) + (-4) = -(1 + 4) = -5.

¿Cuál es el signo del resultado de la suma de dos números enteros con signos diferentes?

En este caso dependerá de que número tenga mayor valor absoluto.

Por ejemplo, sí usamos:

A = 2

B = -4

2 + (-4) = -2

El resultado es negativo, pues el número negativo tiene mayor valor absoluto.

Por otro lado, sí tenemos:

A = -2

B = 4

(-2) + 4 = 2

El resultado es positivo, pues el número positivo tiene mayor valor absoluto.

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4 out of every 7 students in a school eat a packed lunch. The rest eat a school meal.


Which of the following statements is correct?



47% of students eat a school meal


The ratio of school meal to packed lunch is 7 : 4


The ratio of packed lunch to school meal is 4 : 3


56% of students eat a packed lunch

Answers

The third one because it says 4 of 7 and the rest which is 3 eat a school meal
So the ratio is 4:3

What is the median of the following distribution?
26, 26, 28, 29, 31, 33, 35, 36, 37, 38, 40, 42, 43, 46, 48
OA. 33
OB. 37
O C. 56
OD. 43
OE. 36

Answers

It’s going to be 36, since the numbers are already in order all you have to do is cross them out until you find a middle number

Hello. Im stuck on this question. It says find 25% of 70. And I got 17.5 but it says it is wrong Could anyone help

Question: what is 25% of 70

Answers

Question: what is 25% of 70

= 17.50 or 25%

On the first day of a song release, it had 20 million streams. If the number of streams increases by 10% per day, how many streams will there be on the seventh day

Answers

Answer:

  35.4 million

Step-by-step explanation:

We assume the description "increases by 10% per day" means the base of the percentage is the previous day's number of streams. Then the sequence of streams on consecutive days is a geometric sequence with a first term of 20 million and a common ratio of (1 +10%) = 1.10.

__

streams on day n

The n-th term of a geometric sequence is ...

  an = a1×r^(n-1) . . . . . where a1 is the first term, and r is the common ratio

The sequence of streams on consecutive days is then ...

  an = 20×1.10^(n-1) . . . . millions of streams on day n

seventh day

For n = 7, the number of streams is ...

  a7 = 20×1.10^(7 -1) ≈ 35.4 . . . . million streams

There will be about 35.4 million streams on the seventh day.

Ok, so I have a math assignment that is due on Monday (so in 2 days), but I don't understand it. Here are the instructions:

You buy a pair of jeans at a department store.
Jeans_____ $39.99
Discount___ -10.00
Subtotal____ 29.99
Sales Tax___ 31.94

I have the first two questions done for this question, and I just need help on the last one. Here it is:

The price of the jeans includes a 60% markup. After the discount, what is the percent of markup to the nearest percent?

The percent of markup is __%.

Can anyone please help me?

Thanks!

Answers

I am guessing it’s 47%

The first steps in determining the perimeter of triangle ABC are shown.



To the nearest whole unit, what is the perimeter of triangle ABC?

6 units
8 units
14 units
16 units

Answers

To answer this question we must see the picture of the triangle

Answer:

C)    14 Units

Step-by-step explanation:

E2020

A sector of a circle has central angle 120 degrees and arc length 10π
centimeters. What is the radius of the circle

Answers

Answer:

the radius = 15 cm

Step-by-step explanation:

let r be the radius of the circle.

→ We know that in circle , the length of an arc

and the corresponding central angle are proportional.

180 corresponds to πr

120 corresponds to 10π

Then

[tex]\frac{\uppi r}{180} =\frac{10\uppi }{120}[/tex]

[tex]\Longrightarrow r=\frac{180\times 10\pi }{120\pi } =\frac{180}{12} =15[/tex]

Giving 40 points!!! please help

Select the correct answer.
What are the solutions of this quadratic equation?
x²+4=8x+5
A.
x = 8 + √34
B.
* = 8 + 2√17
C.
x=4 ± √7
D. x=4 ± √17

Answers

Answer:

[tex]\textsf{D.} \quad x=4 \pm \sqrt{17}[/tex]

Step-by-step explanation:

Rearrange the equation so it equals zero:

[tex]\begin{aligned} x^2+4 & =8x+5 \\ \implies x^2+4-8x-5 & = 0\\x^2-8x-1&=0\end{aligned}[/tex]

Now use the quadratic formula to solve for x:

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]

[tex]a=1, \quad b=-8, \quad c=-1[/tex]

[tex]\implies x=\dfrac{-(-8) \pm \sqrt{(-8)^2-4(1)(-1)}}{2(1)}[/tex]

[tex]\implies x=\dfrac{8 \pm \sqrt{68}}{2}[/tex]

[tex]\implies x=\dfrac{8 \pm \sqrt{4\cdot 17}}{2}[/tex]

[tex]\implies x=\dfrac{8 \pm \sqrt{4}\sqrt{17}}{2}[/tex]

[tex]\implies x=\dfrac{8 \pm 2\sqrt{17}}{2}[/tex]

[tex]\implies x=4 \pm \sqrt{17}[/tex]

Match each pair of rational numbers with their sum

Answers

The match each pair of rational numbers with their sum is:

[tex]\frac{2*(a-b)}{a^2b^2} = \frac{-2}{a^2b}+\frac{2}{ab^2}[/tex]

[tex]\frac{a-b^2}{a^2b^3} }=\frac{1}{ab^3} +\frac{-1}{a^2b}[/tex]

[tex]\frac{2ab-1}{4a^2b^2} }=\frac{1}{2ab} +\frac{-1}{4a^2b^2}[/tex]

[tex]\frac{2*(1-ab^2)}{a^2b^3} =\frac{2}{a^2b^3}+\frac{-2}{ab}[/tex]

Factoring

In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization.  One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.

When you factor an expression using the rule a factor out a common term, it is possible simplify an expression

Then, you should factor and simplify each given algebraic expression.

[tex]\frac{2*(a-b)}{a^2b^2} =\frac{2a-2b}{a^2b^2}=\frac{2a}{a^2b^2} -\frac{2b}{a^2b^2} =\frac{2}{ab^2} +\frac{-2}{a^2b}[/tex]

[tex]\frac{a-b^2}{a^2b^3} }=\frac{a}{a^2b^3} -\frac{b^2}{a^2b^3} =\frac{1}{ab^3} +\frac{-1}{a^2b}[/tex]

[tex]\frac{2ab-1}{4a^2b^2} }=\frac{2ab}{4a^2b^2} -\frac{1}{4a^2b^2} =\frac{1}{2ab} +\frac{-1}{4a^2b^2}[/tex]

[tex]\frac{2*(1-ab^2)}{a^2b^3} =\frac{2-2ab^2}{a^2b^3}=\frac{2-2ab^2}{a^2b^3}=\frac{2}{a^2b^3}+\frac{-2}{ab}[/tex]

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The side length of a square is 9 units. The square is reflected over the x-axis in the coordinate plane. What is the length of the side of the image? 0 10 -9 9

Answers

Answer:

9 units

Step-by-step explanation:

Reflections do not change the size of a shape, only dilations do. The side length will stay 9 units.

its so hard can you guys help

Answers

Answer:

1593 pandas 13 years ago.

Difference? ≈271 pandas

Keyword:

"Increase"

Step-by-step explanation:

Use the equation:

x + (x × P%) = y

x(1 + P%) = y

x = 1864/(1 + 17%)

x = 1864/(1 + 0.17(17%))

x = 1864/1.17

x = 1593.1624 ≈ 1593

A square notepad has sides that are 10 centimeters long. What is the notepad's area?

Answers

Answer:

100cm²

Step-by-step explanation:

The notepad is square.

The area of a square = length X width.

All the sides of a square are the same length.

Therefore, the area of the notepad = 10 X 10 which equals 100.

Don't forget the units!

The units for area is cm².

The units for volume is cm³.

This is area so your answer is 100cm².

Hope this helped, have a nice day!

Convert 650 ml into litres

Answers

Answer:

.65 litres

Step-by-step explanation:

!!20 POINTS AND BRAINLIEST!!! HELP ASAP!!!

How much ribbon would be needed to go around a package that had a length 2x^2+3x-5/x^2+x-3 centimeters and width x^2-x-5/x^2+x-3 centimeters?

(show work)

Answers

Answer:

23cm

Step-by-step explanation:

If you multiply like terms you will get the answers. Then you add last to get 23cm

The required length ribbon needed to go around the package is 2(3x^2 + 2x -10) / (x^2 + x - 3).

Given that,
Package that had a length of 2x^2+3x-5/x^2+x-3 centimeters and width x^2-x-5/x^2+x-3.

How much ribbon would be needed to go around the package in centimeters is to be determined.

What is the perimeter?

Perimeter is the measure of the figure on its circumference.

What is a rectangle?

The rectangle is a four-sided polygon whose opposites sides are equal and has an angle of 90° between its sides.

Quantity of ribbon = perimeter of the rectangular package
                            = 2 * length + 2* width
                            = 2 * (2x^2+3x-5/x^2+x-3) + 2(x^2-x-5/x^2+x-3)
                            = 2 (3x^2 + 2x -10) / (x^2 + x - 3)

Thus, the required length of  ribbon needed to go around the package is 2(3x^2 + 2x -10) / (x^2 + x - 3).

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Factor 4x² - 121 a) (2x + 11) (2x + 11) b) (2x - 11) (2x - 11) (2x + 11) (2x - 11) d) (4x + 11) (4x - 11)​

Answers

Answer:

(2x-11)(2x+11)

Step-by-step explanation:

2x-11 × 2x+11 yields

4x^2 + 22x -22x +121

22x subtracts itself and final result is

4x^2 -121

A carpenter has a board that is 8 feet long. He cuts off 2 pieces. One piece is 3 1/2 feet long and the other is 2 1/3 feet long. How much of the board is left? IM SO SORRY THIS QUESTION ISN’T MULTIPLE CHOICE PLS FORGIVE ME

Answers

Answer:

2 1/6

Step-by-step explanation:

The answer is 2 1/6 because you should start by adding 3 1/2 + 2 1/3. This equals 5 5/6 feet. You should then subtract 8 - 5 5/6 because you are figuring out how much is left. When you subtract 8 - 5 5/6, you get 2 1/6. So 2 1/6 feet of the board is left.

Hope this helps!

A rectangular piece of iron has sides with lengths of 7.08 × 10–3 m, 2.18 × 10–2 m, and 4.51 × 10–3 m. what is the volume of the piece of iron? 6.96 × 10–7 m3 6.96 × 107 m3 6.96 × 10–18 m3

Answers

The volume of the rectangular piece with sides of lengths of 7.08 × 10–3 m, 2.18 × 10–2 m, and 4.51 × 10–3m is 6. 96 × 10^ -7 m

What is volume?

Volume is defined as the amount of space or capacity occupied by a three-dimensional shape.

It is represented in cubic units.

How to determine the volume of a rectangle

Formula:

Volume, V = length × breadth × height

Given the values;

7. 08 × 10 ^-3m , 2.18 × 10^ -2m and 4. 51 × 10^-3m

Multiply all the lengths

Volume = 7. 08 × 10 ^-3 × 2.18 × 10^ -2 × 4. 51 × 10^-3

= 69.6 × 10^-8

= 6. 96 × 10^ -7 m

Therefore, the volume of the rectangular piece is 6. 96 × 10^ -7 m

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Answer:

A

Step-by-step explanation:

trust

Solve system of equation using elimination by addition.

Will give brainliest!!

Answers

Answer:

x = -8

y = 0

Step-by-step explanation:

The two shown equations can be added together:

   x + 4y = -8

+ ( x - 4y = -8 )

The two x's would combine to make two x, the 4y and -4y cancel out to zero, and -8 added to -8 is -16:

2x = -16

Therefore, x = -8. We can plug this into the first equation to get:

-8 + 4y = -8

Subtracting 8 on both sides yields:

4y = 0

Now divide by 4 on both sides to get

y = 0

We can check these values by plugging them into the second equation:

(-8) - 4(0) = -8

-8 - 0 = -8

-8 = -8

Since -8 always equals -8, the answer is correct.

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