The volume V of a sphere is given by V(r)=43r3 where r is the length of the radius. Write a function that gives the radius in terms of the volume.

Answers

Answer 1

Answer: [tex]r=\sqrt[3]{\dfrac{3V}{4\pi}}[/tex]

Step-by-step explanation:

Given

The volume of a sphere is given by

[tex]V(r)=\dfrac{4}{3}\pi r^3[/tex]

Now isolating [tex]r^3[/tex]

Divide both sides by [tex]\dfrac{4}{3}\pi[/tex]

[tex]\Rightarrow \dfrac{V(r)}{\frac{4}{3}\pi }=r^3\\\\\Rightarrow r^3=\dfrac{3V}{4\pi}\\\\\Rightarrow r=\sqrt[3]{\dfrac{3V}{4\pi}}[/tex]


Related Questions

Choose the amounts of sales that would give Shonda's business a positive
balance. Choose ALL that apply.
$114
$26
$21
$25
$29
$17

Answers

Answer:

Hello! Your answer would be, BELOW!

Step-by-step explanation:

$26

$21

$29

$17

Hope I helped! Ask me anything if you have more questions! Have a nice mourning! Brainiest plz! Hope you make an 100%! -Amelia♥

Answer:

the person who commented is correct

Step-by-step explanation:

:) - "y’all are all wrong it’s 114,29, and 26"

3/12 anyone. Answer pls and the other questions are 12/28 27/45 10/15 36/48 6/16

Answers

Step-by-step explanation:

Pretty much got to find the highest common factor (HCF) then divide it.

3/12=1/4. (3×4=12)

12/28=3/7 (HCF=7)

27/45= 3/5 (HCF=9)

10/15=2/3 (HCF=5)

36/48=6/8=3/4 (HCF=6 then 2)

6/16=3/8 (HCF=2)

Which equation represents the relationship between x and y in the table?



A. y=x+2
B. y = 2x + 1
C. y = 2x² - 4x + 5
D. y=x2-x+3
E. y = 2x – 1
HELPPP (I'M TALKING THE MATH MAPS TEST-)​

Answers

It’s D. I hope you didn’t choose B

There are 13 red roses 6 pink roses and 16 white roses in patricks garden what percentage are pink roses

Answers

Answer:

17.1429% ?

Step-by-step explanation:

A town's population is currently 1,550. If the population doubles every 37 years, what will the
population be 74 years from now?

Answers

I’m shmacked but 6200

HELP ME PRE-CALC PROBLEM DUE TONIGHT!!! THANK YOU!! Use the tables below to find the given limits (if one of them is DNE - does not exist - explain why).

Answers

Answer:

2.) 6

3.) 13

4.) 8

5.) DNE (because limit from the right does not equal limit from the left)

Step-by-step explanation:


URGENT!

Amanda walks 1.5 miles to school in
the morning. After school, she walks
0.5 mile to the public library. After she
has chosen her books, she walks 2 miles
home. Sketch a graph to show the
distance Amanda traveled compared
to time. Use your graph to find the
total distance traveled.

Answers

Answer:

I can't do the graph because I don't know how to do that on the computer but she walks 4 miles in total.

Step-by-step explanation:

plssssssssss helpppppppp 2q'sssssssssssss

Answers

y=5×+630 that's question 1

the other question im not sure

Pls help I’m so confused

Answers

Answer:

im confused too man

Step-by-step explanation:

The lawn of TOIS is in the shape of a rectangle that is 24m long and 10m wide. How many meters shorter is your walk if you choose to walk diagonally across the lawn rather than along the two sides of it?

Answers

It’s 8 meters shorter


© Find the LCM of 220 and 88.

Answers

Answer:

440

Step-by-step explanation:

multiple of 220

220, 440

multiple of 88

88, 176, 264, 352, 440



Given that x = 9.2 m and θ = 15°, work out AC rounded to 3 SF​

Answers

Answer:

AC ≈ 9.52 m

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos15° = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{9.2}{AC}[/tex] ( multiply both sides by AC )

AC × cos15° = 9.2 ( divide both sides by cos15° )

AC = [tex]\frac{9.2}{cos15}[/tex] ≈ 9.52 m ( to 3 sf )

Mikail Rasmussen purchase 2 gallons of ice cream $4.99 each 2 bags of popcorn for $1.88 each 3 pounds of strawberries $1.98 per pound for packs of sliced cheese at 2 for $4.00 and 3 cartons of orange juice at 2 for $5.00 he had a coupon for $10.00 of a his purchase total $25.00.

Answers

Answer:

Step-by-step explanation:

If I’m understanding your question correctly the added up total would be 42.68. However he has a coupon for $10.00, which drops down the price to 32.68. And if he could only spend $25.00 he is $12.68 over the limit he could spend

A boy starts at A and walks 3km east to B,he they walks 4km north to C,find the distance and bearing of C

Answers

Answer:

The answer is "5 km".

Step-by-step explanation:

The right triangle will best represent this distance model. Its legs AB and BC and the hypotenuse AC. Through plugs through into Pythagorean theorem the known values,

[tex]\to a^2 + b^2 = c^2\\\\\to 3^2 + 4^2 = c^2\\\\ \to 9 + 16 = c^2\\\\ \to 25= c^2 \\\\\to c=5[/tex]

HELP HELP!!!!,a,wkowksiw
Which is best to estimate the value of 0

Answers

Answer:   B) 40 degrees

===============================================================

Explanation:

There are three approaches we can take. Each approach uses a different column (sine, cosine, or tangent).

Let's go with the sine column. The sine ratio is opposite/hypotenuse.

For reference angle theta, the opposite sides is 8 meters. The hypotenuse is 12.5 meters. Dividing the two values gets us

opposite/hypotenuse = 8/12.5 = 0.64

While focusing on the sine column, we see that 0.64 isn't in there; however the value 0.6428 is fairly close to it. There's expected to be roundoff error somewhere. That value corresponds to theta = 40.

That must mean sin(40) = 0.6428 approximately is fairly close to 8/12.5 = 0.64

Or put another way,

sin(40) = 8/12.5 approximately

Luis's math teacher plots student grades on their weekly quizzes against the number
of hours they say they study on the pair of coordinate axes and then draws the line of
best fit. What is the meaning of the x-value on the line when y = 75?

Answers

Answer:

In the graph, we have a linear fit of the student's grades as a function of the number of hours they say that they study.

Then the y-axis represents the grade, and the x-axis represents the number of hours of study, and because this is a linear fit, we will have something like:

y = a*x +b

If we input a value of x here (number of hours studied) we would get the expected grade for the weekly quiz y.

In this situation, the meaning of the x-value on the line when y = 75 would be the (adjusted) number of hours studied to get a grade of 75.

So this x-value is the average number of hours that a student needs to study to get a grade of 75 points.

How will the graph of
f(x)=2(3x)
be different from
g(x)=2(3x−2)

Answers

Answer:

g(x) is shifted left by two units

Solve the following equations for x :
g = c - x

Answers

Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

[tex]g = c - x \\ c - x = g \\ - x = g - c \\ x = - g - c[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]

2+v=11
What value of v is a solution to this equation

Answers

Answer:

9

Step-by-step explanation:

subtract 2 on both sides

you get v=9

I hope that we pass this semester god bless :)) calming it

Answers

Answer:

me too

Step-by-step explanation:

Arman, Narek and Areg are brothers. Arman's age is five times as much as Areg's age and Narek is 12 years elder than Areg. If Narek is 15 years old, how old are Areg and Arman?

Answers

Armans age : x
Aregs age: y

X = 5y
(15 - 12) = y. They said narek is 12 years older than areg so you deduct 12 years from nareks age which is 15.

So therefore y = 3. So Areg is 3 years old.

Since we know that y = 3
X = 5(3)
X = 15

So therefore Arman is 15 years and Areg is 3 years.

A rectangle has vertices (a,b), (c,b), and (a,c). Find the fourth vertex.

Answers

Answer:

Step-by-step explanation:

Abc

The required coordinate of the fourth vertex is (c, c).

What is coordinate?

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.

here,
A rectangle has vertices (a,b), (c,b), and (a,c)
let the vertex of the first coordinate be [x, y],
Now,
for side a Corrdiante A (a, b) and B (c , b)
Now, coordinate the opposite side C(a, c) and D(x , y)

The coordinates of D must be equal to x coordinate of B and y ordinate of C so,
D(x, y) = D(c, c)

Thus, the required coordinate of the fourth vertex is (c, c).

Learn more about coordinate here:

brainly.com/question/13498438

#SPJ2

how to do compound and simple interest

Answers

Answer:

We can compute simple interest by finding the interest rate percentage of the amount borrowed, then multiply by the number of years interest is earned. Another type of interest calculates interest on both the money initialy deposited as well as the interest money earned, and is called compound interest.

Step-by-step explanation:

hope this helps

5​ more than a number x is 9 HELP RN

Answers

Answer:

4

Step-by-step explanation:

Pt.2

What is the median number of books read?
Answer options with 5 options


A.5

B.8

C.9

D.10

E.11

Answers

The median is the middle number.

So if it’s, 5,6,7,8,11,11,15, then 8 is the median! Hope this helps!!


11. The temperature in Kingstown was 8.1°C at 5:00 p.m. By 11:00 p.m., the temperature
had dropped by 14.8°C. Which is the best estimate of the temperature in Kingstown at
11:00 p.m.?
A. -23°0
B. -7°c
C -6°
D. 0°C

Answers

Answer:

B) -7°c

Step-by-step explanation:

HELP
Calculate the volume of a cone with a height of 12 cm and a base with a radius of 6 cm. Round your answer to the nearest
cubic centimeter. Use 1 = 3.14.
Volume Formulas
V=1.Bh
B
V=
V=
VE
V=7 p?h
V=Bh
x
A.452 cm
B. 1,356 cm
Ο Ο
C. 678 cm
D.904 cm

Answers

Answer:

452.4

Step-by-step explanation:

hope this helps!

The ratio of the number of Baskin Robbins :Cold stone ice cream cones sold in a day is 11:9.If the number of Baskin Robbins cone sold is 44 .(a)How many cold stone cones are sold ? (b)If the number of cold stone cones on the next day is reduced to 20.what is the new ratio?

pls answer fast plsssssssssss

Answers

Answer: A. 36

B. 5:11

Step-by-step explanation:

(a)How many cold stone cones are sold?

Let the number of stone colds sold be represented by x.

Therefore, we can form an equation as:

11/9 = 44/x

Cross multiply

11 × x = 44 × 9

x = (44 × 9)/11

x = 36

The number of stone cold sold are 36.

(b)If the number of cold stone cones on the next day is reduced to 20.what is the new ratio?

The new ratio will be gotten as:

= 20/44

= 5/11

= 5:11

The ratio is 5:11

What is the probability that a resident is in the age group 60-69?
a. 0.385
C. 0.35
b. 0.37
d. 0.4

Answers

I would say c is your answer

Answer:

b. 0.37

Step-by-step explanation:

E2020!

It costs $100 to rent the bowling alley, plus $4 per person. The cost for any number (n) of people can be found using the expression 100 + 4n. The cost for 15 people equals $ ___. (Input whole number only.) Numerical Answers Expected!

Answers

Answer:

$160

Step-by-step explanation:

100+4n ; n=15

100+ 4(15)= 160

$160 for 15 people

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