1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ugo [173]
2 years ago
8

The cube root of r varies inversely with the square of s. Which two equations model this relationship?

Mathematics
1 answer:
77julia77 [94]2 years ago
3 0

Answer:

The following two equations model this relationship.

  • \:\sqrt[3]{r}=\:\frac{k}{s^2}
  • \:\:s^2\:r^{\frac{1}{3}}=\:\frac{k}{s^2}  

Step-by-step explanation:

We know that when 'y' varies inversely with 'x', we get the equation

y ∝ 1/x

y = k / x

k = yx

where 'k' is called the 'constant of proportionality'.

In our case, it is given that the cube root of 'r' varies inversely with the square of 's', then

\sqrt[3]{r} ∝ \frac{1}{s^2}

\:\sqrt[3]{r}=\:\frac{k}{s^2}

or

\:\:s^2\:r^{\frac{1}{3}}=\:\frac{k}{s^2}          ∵ \sqrt[3]{r}=r^{\frac{1}{3}}

Therefore, the following two equations model this relationship.

  • \:\sqrt[3]{r}=\:\frac{k}{s^2}
  • \:\:s^2\:r^{\frac{1}{3}}=\:\frac{k}{s^2}  
You might be interested in
How to Simplify the rational expression.
alexandr402 [8]
  2r - 4       2(r - 2)
--------- = -----------   = 2
 r - 2            r - 2

answer
2
3 0
3 years ago
14. Shaun has a bag with 12 yellow tiles and
yaroslaw [1]
3 should be added to the tiles
3 0
3 years ago
WILL GIVE BRAINLIEST The solution to 15x = 30 is x =___. (Only input the number.)
dedylja [7]

Answer:

x=2

Step-by-step explanation:

If 15x=30 and 15*2=30 then x=2

Hope this helped.

A brainliest is always appreciated.

8 0
2 years ago
Read 2 more answers
How many milligrams is equal to 85 grams?
myrzilka [38]

85,000 milligrams is equal to 85 grams! :)

5 0
3 years ago
Read 2 more answers
A line contains the point (2 , 1) and has a slope of -2. What is the equation of the line?
gogolik [260]

Answer: y=-2x+5

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • The measure of two angles of a triangle are35° and 45°. What is the measure of the third angle
    8·1 answer
  • Draw a triagle with 3 lines
    7·1 answer
  • Write the sentence as an inequality.<br> A number b divided by -14 is less than -25.
    6·2 answers
  • Jack spends 15% of his pocket money on sweets and 35% on magazines how much does he spend and save each week
    10·1 answer
  • The figure consists of two quarter circles and a square.
    10·2 answers
  • Find the area of the trapezoid. Leave your answer in simplest radical form. The figure is not drawn to scale.
    10·2 answers
  • Marissa deposited $900 in her savings account. the rate of simple interest is 5% per year. find the balance at the end of 4 year
    14·1 answer
  • Evaluate the expression for the given value of x 3x-4;x=7
    12·1 answer
  • Darience says that he was able to jog 12 miles in 2 hours this weekend Sierra says his unit rate is 6 miles per hour Brandon say
    9·1 answer
  • Do you guys know this?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!