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
elena-14-01-66 [18.8K]
3 years ago
14

The volume (v) of a sphere varies directly as the cube of its diameter (d). Write this statement in algebraic language, using an

equation with the variables c, v, and d.
Mathematics
2 answers:
Dmitrij [34]3 years ago
7 0
\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad  y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------\\\\
\stackrel{\textit{volume}}{v}=\stackrel{\textit{constant of variation}}{c}\cdot \stackrel{\textit{cube of diameter}}{d^3}\implies v=cd^3
marin [14]3 years ago
4 0

Answer: v=cd^3

Step-by-step explanation:

The equation for direct variation between x and y (dependent variable) is given by :-

y=kx, where k is the proportionality constant.

Let the algebraic expression for the volume of sphere is v and for diameter is d.

The given statement : The volume of a sphere varies directly as the cube of its diameter.

Then the algebraic equation for the given statement will be :-

v=cd^3, where c is the proportionality constant.

You might be interested in
What proportion of a normal distribution corresponds to z scores greater than 1.04?
Tom [10]
We would need to look over the z table to find the area under the standard normal distribution curve to the left of z = 1.04. Then we'll subtract it from 1 to get the proportion of a normal distribution corresponding to z scores greater than 1.04.
By looking at the z table, we can see that the area to the left of z = 1.04 is 0.8508. So the proportion of a normal distribution to the right of z = 1.04 is 1 – 0.8508 =  0.1492.

The answer is 0.1492.
7 0
3 years ago
Read 2 more answers
Principal- $900, interest rate ordinary- 4%, term (days)- 45. find the interest
kirill [66]

Answer:

hope this helps to find the interest

Step-by-step explanation:

450

4 0
3 years ago
Please help, answer asap
Vladimir79 [104]
I needed help with that too
8 0
3 years ago
Read 2 more answers
I Really need help with this!
Scrat [10]
Where the heck did x come from!
5 0
3 years ago
Read 2 more answers
What is 348,000,000,000,000 estimated as the product of a single digit and a power of 10?
levacccp [35]
The answer should be 3.48 X 10^18
3 0
3 years ago
Other questions:
  • In a phosphorus-nitrogen bond, the bond is _____ and the _____ atoms bears _____ charge
    8·2 answers
  • Katie invested a total of ​$8000​, part at 5% simple interest and part at 6% simple interest. At the end of 1​ year, the investm
    10·1 answer
  • Hi I need help answer is 2/4 or 4/2 ???
    13·1 answer
  • What is 12 14/15 written as a decimal
    10·1 answer
  • PLS HELP ME WITH THIS!
    6·1 answer
  • Using a commen denominator to order fractions, please help...
    10·1 answer
  • What is answer for 7/53?
    6·1 answer
  • PLEASE HELP
    6·1 answer
  • The vertices of △DEF are D(1, 19), E(16, −1), and F(−8, −8). What type of triangle is △DEF?
    13·1 answer
  • 8.<br> Find the arc length of a central angle of 7pi/3 in a circle whose radius is<br> 3inches
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!