Mathematics College

Solve for r:
B=dPIEr^2

Solve For R:B=dPIEr^2

Answers

Answer 1

Answer:

C

Step-by-step explanation:

So we have the equation:

[tex]B=d\pi r^2[/tex]

And we want to solve for r.

So first, isolate the r variable. Divide both sides by dπ. So:

[tex]\frac{B}{d\pi}=\frac{d\pi r^2}{d\pi}[/tex]

The right side cancels:

[tex]\frac{B}{d\pi}=r^2[/tex]

Take the square root of both sides:

[tex]r=\sqrt\frac{B}{d\pi}[/tex]

We can rearrange the terms:

[tex]r=\sqrt\frac{B}{\pi d}[/tex]

Our answer is C.

Related Questions

(2x)4 written without exponents

Answers

Answer:

(2x)(2x)(2x)(2x)

Step-by-step explanation:

I assume the 4 is an exponent.

(2x)^4 = (2x)(2x)(2x)(2x)

a bucket full of milk is 80cl,how many litres are in 15 of such​

Answers

Answer:

1.2 liters

Step-by-step explanation:

1 bucket has a volume of 80 cL.

15 buckets have a volume of 15 * 80 cL = 120 cL

1 L = 100 cL

120 cL * (1 L)/(100 cL) = 1.2 L

A company says their cough syrup, called Cough-Up, is real effective and that 7 out of 10 doctors prefer it over any competitors. Using the given ratio, answer the following questions If there are 40 doctors, how many prefer Cough-Up? Your answer​

Answers

Answer:

40÷10=4

7×4=28

18 doctors

There are 18 doctors

f(x) = 2x2 + 5x + 20
Find f(-9)

Answers

Answer: f(-9)=137

Step-by-step explanation:

To find f(-9), you plug in -9 into x.

f(-9)=2(-9)²+5(-9)+20                           [solve parenthesis]

f(-9)=2(81)-45+20                                 [multiply]

f(-9)=162-45+20                                   [subtract]

f(-9)=117+20                                          [add]

f(-9)=137

Which equation has no solution?
4(x + 3) + 2x = 6(x + 2)
5+2(3 + 2x) = x + 3(x + 1)
5(x + 3) + x = 4(x + 3) + 3
4 + 612 + x) = 2(3x + 8)

Answers

Answer:

[tex]4(x + 3) + 2x = 6(x + 2)[/tex][tex]5 + 2(3 + 2x) = x + 3(x + 1)[/tex]

Step-by-step explanation:

[tex]5(x + 3) + x = 4(x + 3) + 3 \\ 5x + 15 + x = 4x + 12 + 3 \\ 5x + x - 4x = 12 + 3 - 15 \\ 2x = 0[/tex]

Divide both sides of the equation by 2

2x/2 = 0/2

x = 0

(4+612+x)=2(3x+8)

4+612+x=6x+16

4+612-16=6x-x

600=5x

Divide both sides of the equation by 5

600/5 = 5x

120 = x

Answer:

Its B. 5+2(3 + 2x) = x + 3(x + 1)

Step-by-step explanation:

I just took the test on edge

what is 2(4 – 16) – (–30)

Answers

The answer is 6 I use Photomath just type the questions in and it gives you the answer
The answer should be 6 from what I have gotten here’s a tip download the app Photomath it is very useful for math and helps a lot with clear explanations

The length of Tom’s rectangular classroom floor is 8 feet longer than 2 times the
width. The perimeter of his classroom floor is 124 feet. Write and solve an
equation to find the length of his classroom.

Answers

Answer:

Length= 44 feet

Width= 18 feet

Step-by-step explanation:

Let the length= x

Let the width = y

Length is 8 feet longer than 2 times the

width.

X= 8+2y

The perimeter of his classroom floor is 124 feet

Perimeter= 2(x+y)

124= 2x+2y

But x= 8+2y

124= 2x+2y

124= 2(8+2y) +2y

124= 16 +4y +2y

124-16= 6y

108= 6y

18 = y

Width= 18 feet

X= 8+2y

X= 8 +2(18)

X= 8+36

X= 44

Length= 44 feet

A cafeteria worker knows that it takes 3 bottles of juice to serve a table of 18 students. How many bottles of juice are needed for 24 students? How many bottles of juice are needed for 42 students?

Answers

Answer:7

Step-by-step explanation:

quik math

FIll in the blank to make the equation true: (−8−4)÷[]​=−6

Answers

Answer:

2

Step-by-step explanation:

-8-4/x= -6

multiply x to both sides of the equation.

-8-4= -6x

solve -8-4. (-12)

-12= -6x

divide both sides by -6.

2=x

5/8x3/5
help please

Answers

Answer:

3/8

Step-by-step explanation:

reduce the numbers with the greates componentes factor. 5 and then calculate the product

The answer to the problem is 3/8

Convert 1 million seconds into years (round to 3 decimal places)

Answers

Answer:

that would be 0.032 because 1 million secs is 11 days 13 hours 46 minutes and 40 secs

Answer:

0.032 years.

Step-by-step explanation:

1 year = 365 * 24 * 60 * 60 = 31,536,000 seconds.

=  1000000 / 31,536,000

= 0.03170979

Which of the following statements best describes adjacent angles

Answers

Answer:

The correct answer to this would be D, adjacent angles share a side.

Step-by-step explanation:

Adjacent angles share a common side as well as a common vertex.

I hope this helps :)

The statement that best describes adjacent angles is that adjacent angles share a side.

What is a vertex ?

A vertex is where two non parallel lines meet.For example a triangle has 3 vertex.We can also say that vertex is a point where two non parallel lines meet to form an angle.

According to the given question the best description of adjacent angle is that they share a side.

We can say that adjacent angles are those angles which are placed next to each other.

Adjacent angle also share a common vertex but they do not overlap each other.

learn more about vertex here :

https://brainly.com/question/12563262

#SPJ2

BC=6x+4, AC=52, and AB=4x+8 find BC

Answers

Answer:

i'm not sure if it is the right answer or not

Step-by-step explanation:

Let's assume AC is a straight line and B is one the line, between A and C

AC-AB=BC

52-4x-8=6x+4

10x=40

x=4

--> BC=6x+4=6.4+4=28

Suppose a change of coordinates T:R2→R2 from the uv-plane to the xy-plane is given by x=e−2ucos(5v), y=e−2usin(5v). Find the absolute value of the determinant of the Jacobian for this change of coordinates.

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

The solution is  [tex]\frac{\delta  (x,y)}{\delta (u, v)} | = 10e^{-4u}[/tex]

Step-by-step explanation:

From the question we are told that

        [tex]x =  e^{-2a} cos (5v)[/tex]

and  [tex]y  =  e^{-2a} sin(5v)[/tex]

Generally the absolute value of the determinant of the Jacobian for this change of coordinates is mathematically evaluated as

     [tex]| \frac{\delta  (x,y)}{\delta (u, v)} | =  | \ det \left[\begin{array}{ccc}{\frac{\delta x}{\delta u} }&{\frac{\delta x}{\delta v} }\\\frac{\delta y}{\delta u}&\frac{\delta y}{\delta v}\end{array}\right] |[/tex]

        [tex]= |\ det\ \left[\begin{array}{ccc}{-2e^{-2u} cos(5v)}&{-5e^{-2u} sin(5v)}\\{-2e^{-2u} sin(5v)}&{-2e^{-2u} cos(5v)}\end{array}\right]  |[/tex]

[tex]Let \   a =  -2e^{-2u} cos(5v),  \\ b=-2e^{-2u} sin(5v),\\c =-2e^{-2u} sin(5v),\\d=-2e^{-2u} cos(5v)[/tex]

So

     [tex]\frac{\delta  (x,y)}{\delta (u, v)} | = |det  \left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] |[/tex]

=>    [tex]\frac{\delta  (x,y)}{\delta (u, v)} | = | a *  b  - c* d |[/tex]

substituting for a, b, c,d

=>    [tex]\frac{\delta  (x,y)}{\delta (u, v)} | =  | -10 (e^{-2u})^2 cos^2 (5v) - 10 e^{-4u} sin^2(5v)|[/tex]

=>   [tex]\frac{\delta  (x,y)}{\delta (u, v)} | =  | -10 e^{-4u} (cos^2 (5v)   + sin^2 (5v))|[/tex]

=>  [tex]\frac{\delta  (x,y)}{\delta (u, v)} | = 10e^{-4u}[/tex]

A political action committee is interested in the proportion of all registered voters who will vote "Yes" on a measure to expand the use of solar energy. Match the vocabulary word with its corresponding example.

Answers

Answer:

f= The proportion of registered voters who will vote Yes on the measure. a= The 1000 registered voters who participated in the study. b= The proportion of the 1000 registered voters that were surveyed who will vote Yes on the measure. e= Yes or No for each registered voter. f= All registered voters in the US. d= The list of Yes and No answers that were given by the 1000 participants in the study.

Step-by-step explanation:

See attached. Continuation of the question:

__________The proportion of registered voters who will vote Yes on the measure. __________The 1000 registered voters who participated in the study. __________The proportion of the 1000 registered voters that were surveyed who will vote Yes on the measure. _________Yes or No for each registered voter All registered voters in the US _________The list of Yes and No answers that were given by the 1000 participants in the study  a. Sample b. Statistic c. Parameter d. Data e. Variable f. PopulationSolution

Comparing definitions of the vocabulary words on the bottom of the question, we can match the examples as follows:

Parameter = The proportion of registered voters who will vote Yes on the measureSample = The 1000 registered voters who participated in the studyStatistic = The proportion of the 1000 registered voters that were surveyed who will vote Yes on the measureVariable = Yes or No for each registered voterPopulation = All registered voters in the USData = The list of Yes and No answers that were given by the 1000 participants in the study

Please help what is the area?

Answers

Answer: 70 square units

The area of a triangle is 25 square Inches, base Inches. What is its helght (a) ? Use the formula A triangle = 1/2 ba
50 inches
5 inches
62.5 inches
10 inches
125 inches

Answers

Answer:

50/b in

Step-by-step explanation:

Use the area formula A = (1/2)(base)(height).

Here the area A is given and is 25 in^2; the base is not given, so use 'b.'

Then, since A = (1/2)(base)(height),

(height) = 2A/(base) = 2(25 in^2)/b = 50/b in

Last year, Dana grew 1/2 of an inch and her brother grew 1/8 of an inch. How much more did Dana grow than her brother?

Answers

Answer:

3/8 inch

Step-by-step explanation:

1/2 of an inch is equal to 4/8

4/8-1/8=3/8

Hope this helps :-)

Solve and check the solution 5/8 = 1/2(a + 2) please help me

Answers

5/8=1/2(a+2)

distribute

5/8=(1/2)a+1

combine like terms

5/8-8/8=(1/2)a
-3/8=(1/2)a

multiply both sides by 2
-3/4=a
a=-3/4

check

5/8=1/2(-3/4+8/4)
5/8=1/2(5/4)
5/8=5/8

Answer:

[tex]a=-\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]\frac{5}{8}=\frac{1}{2}\left(a+2\right)\\\\Switch\: sides\\\frac{1}{2}\left(a+2\right)=\frac{5}{8}\\\\\mathrm{Multiply\:both\:sides\:by\:}2\\2\times\frac{1}{2}\left(a+2\right)=\frac{5\times\:2}{8}\\\\Simplify\\a+2=\frac{5}{4}\\\\\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}\\a+2-2=\frac{5}{4}-2\\\\Simplify\\a=-\frac{3}{4}[/tex]

Check[tex]\frac{5}{8} = \frac{1}{2}\left(-\frac{3}{4}+2\right) \\\\\mathrm{Multiply\:fractions}:\\\\\quad \:a\times\frac{b}{c}=\frac{a\:\times \:b}{c}\\\\\frac{5}{8}=\frac{1\times \left(-\frac{3}{4}+2\right)}{2}\\\\\frac{5}{8}=\frac{1\times\left(-\frac{3}{4}+2\right)}{2}\\\frac{5}{8}=\frac{-\frac{3}{4}+2}{2}\\\\\mathrm{Join}\:-\frac{3}{4}+2:\quad \frac{5}{4}\\\frac{5}{8}=\frac{\frac{5}{4}}{2}\\\\\frac{5}{8}=\frac{5}{4\times\:2}\\\\\frac{5}{8}=\frac{5}{8}[/tex]

Is 8.73 a rational number

Answers

Answer:

Yes

Step-by-step explanation:

8  73/ 100=8.73

Yosef is trying to determine whether or not he drinks enough water each day. Today, on average, he drank Two-fifths of a glass of water every hour for 10 hours. To determine how much water he had, he set up the equation, Two-fifths times 10 ?. What is the total amount of water Yosef drank?

Answers

Step-by-step explanation:

the answer would be 4 glasses of water

How do I factor 4x^2-12x^3?

Answers

The answer is 4x^2(1 - 3x)

please i need help!! Translate these words into symbols: The sum of fifteen and a number q equals the product of six and a number q

Answers

Answer:

15 + q = 6q

Step-by-step explanation:

Between which two integers is the positive value of the square root of 55?

Answers

I believe its between the integers of 7 and 8.

Answer:

7 and 8

Step-by-step explanation:

√55 is in between 49 and 64. Get 49 and 64 squared and you will get 7 and 8.

To solve n+7=15 you should first

Answers

Answer:

Collect like terms and simplifySubtract 7 from both sides

Step-by-step explanation:

METHOD 1

[tex]n+7=15\\n =15-7\\n = 8[/tex]

METHOD 2

[tex]n+7-7=15-7\\n =8[/tex]

Answer:

Subtract 7 from both sides.

Step-by-step explanation:

Step 1:

n = 15 - 7

Answer:

n = 8

Hope This Helps :)

The following boxplot is of the birth weights (in ounces) of 160 infants born in a local hospital The following boxplot is of the birth weights (in ounces) of 160 infants born in a local hospital
About 40 of the birth weights were below?
A) 92 ounces B) 102 ounces C) 112 ounces D) 122 ounces

Answers

This question is Incomplete because it lacks the diagram of the box plot. Please find attached the diagram of the box plot

Answer:

B) 102 ounces

Step-by-step explanation:

Looking at the attached diagram, we can see the box plot it divided into different segment

The median weight of the babies = 110 ounces

The maximum weight of the babies is between = 140 and 130, approximately let's say 135 ounces

The minimum weight is 80 ounces

Then the box in the middle is divided into 3

It has the First Quartile

Median

And third Quartile

Since we have 160 infants born in the local hospital, about 40 of the birthweights we fall into

= 40/160 = 1/4

1/4 represents the first Quartile

Looking at the box plot, 40 of the birthweights were below 102 ounces.

Find the circumference of a circle with radius of 18 in. Leave your answer in terms of pi.

A. 18 pi in.
B. 324 pi in.
C. 54 pi in.
D. 36 pi in.

Answers

Answer:

36pi. in. answer is D

Step-by-step explanation:

C = 2(18)pi= 36pi in

What are the subsets of real numbers -7

Answers

The subsets of real numbers are known as:

rational numbers (decimals that don't repeat)irrational numbers (decimals that repeat)integers (a number that isn't a fraction)whole numbersnatural numbers (a positive number)

Best of Luck!

What information can you obtain about the scores in a regular frequency distribution table that is not available from a grouped table.

A. The number and width of the class intervals

B. The exact frequency for each category on the scale of measurement

C. The overall frequency for each class interval

Answers

Answer: B. The exact frequency for each category on the scale of measurement

Step-by-step explanation: The main difference between a grouped table and regular frequency distribution exists in the fact that ; grouped table takes in a defined range of (X) values, that is takes more than one individual value per group and takes the frequency of all scores or values in the group, hence giving the frequency of the scores in the interval rather than the frequency of each individual score. On the other hand, the regular frequency distribution treats values or scores individually and then takes the frequency of each score. This way a regular frequency distribution enables us to know the exact number or distribution of each individual score.

The information in a regular frequency distribution table that is not available from a grouped table is (b) the exact frequency for each category on the scale of measurement

There are several similarities between a regular frequency table, and a grouped frequency table.

However, both frequency tables have a major difference.

This difference is in the frequency of the data they represent

While a regular frequency table shows the exact frequency of each data element, a grouped frequency table cannot show the exact frequency of each data element.

Hence, the true option is (b)

Read more about frequency distribution table at:

https://brainly.com/question/1094036

3/2•3/2•3/2•3/2 rewrite product in exponential form

Answers

Answer:

1.5^4

Step-by-step explanation:

The product for this expression is 1.5 multiplied by itself 4 times. This means you raise it to the fourth power, thus giving you 3/2^4 or 1.5^4.

Other Questions
Owen knows he only has three pencils in his backpack, and they are all yellow. He reaches into his backpack without looking and takes out a pencil. What is the probability that the pencil was yellow? Answer options with 5 options A. 0-thirds B. 1-third C. 2-thirds D. 3-thirds E. 3 over 1 I NEED ACTUAL ANSWERS NOT JUST STUPID PEOPLE WITH A POOR SENSE OF HUMOR 60) 786Long division? which is a characteristic of an early complex Village is wich of the following does not cotribute to wellness In mechanics of materials, the bending stress of a beam in bending can be determined by the equation = MyIwhere expressed in terms of SI base units M is the bending moment in Newton-meters (N-m), y is the distance from the neutral axis in meters (m), and I is the moment of inertia in meters to the fourth power (m4). The bending stress has the same units as those of:_____.a) pressure.b) density.c) force.d) spring constant. Which person is most likely to be ebullient? f(x) = 6x2 + 2 what is the domain BRAINLIEST which statement is correct 4(9)6=3+2-1+2 4(9)6=4+2-1+2 4(9)6=3-2+1-2 4(9)6=32+1-2 A protein has an isoelectric point (pI) of 9. Which of the following statements best describes the state of this protein in aqueous solution at pH 7?A. The side chains of the protein's basic residues will be mostly unchargedB. The side chains of the protein's acidic residues will be mostly protonatedC. The protein will have no net chargeD. The protein will have a net positive chargeE. The protein will have a net negative charge Scientists are told to doubt everything and not believe anything that is not provable. Is this a strength or weakness of science? Please answer asappp :)) who likes arizona tea which one is your favorite im drinking a raspberry one QUESTION 2Eric, a resident of Georgia, sued Terrance, a resident of Texas, in the federalcourt in California. He sought $60.000 damages for personal injuries arisingfrom an automobile accident that occurred in Los Angeles, California. Does thefederal court have jurisdiction? Why or why not? Explain your answer. Which of the following would a chemist be most likely to study? A. what happens when a moving car comes to a stop B. what happens when iron rusts in the presence of water C. what happens when ice melts to form liquid water D. what happens when light reflects from a shiny surface Which is the best measurement to use to determine who might have the absolute advantage? high opportunity cost low opportunity cost low efficiency high efficiency Larry is part of the Board of Governors that manages U.S. Monetary policy. He has been elected by the President to serve a single 14-year term. In addition to setting the monetary policy, he is responsible for extending banking services to commercial banks. I The story of the city's origins was based on The cells in your nose that detect smell are a type of what Write 1/10 as a decimal number Will Give BrainliestBig Water Canoeing Company rents canoes for $75 per hour. Explain why the point (0, 0) and (1, 75) are on the graph of the relationship and what these points mean in the context of the problem. The Lucido Companys 2026 Net Income is $170. Balance Sheets are given: 12/31/2 12/31/26Cash $40 $35Accounts Receivable 100 88Machine 400 540Acc Depr. 150 250 -160 380Totals Assets $390 $503Dividends Payable $2 $0Common Stock 310 348Treasury Stock (22) (30)Retained Earnings 100 185Total Liability and O/E $390 $503Lucido sold a machine for $122 in 2026. Cost was $200; book value was $120.Net Cash Used for Investing is:___________.a. $218b. $340c. $122d. $220e. $462