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
e-lub [12.9K]
3 years ago
6

Solve the problem as directed.

Mathematics
1 answer:
Alex17521 [72]3 years ago
4 0

The algebraic equation for the given statement is v = cd^3

<h3><u>Solution:</u></h3>

Given that The volume (v) of a sphere varies directly as the cube of its diameter (d)

To find: statement in algebraic language using an equation with the variables c, v, and d

Let "v" be the volume of sphere

Let "d" be the diameter of sphere

From given information,

volume of sphere varies directly as the cube of its diameter

\text{ volume of sphere } \alpha \text{ cube of its diameter}

\text{ v} \alpha d^3

v = cd^3

Where "c" is the constant of proportionality

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

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

You might be interested in
This math promblem!!!!
fiasKO [112]
1. You convert all the numbers into decimals.
   a. For 8 1/9 you multiply 8x9 and add the numerator which in this case is one, so the equation would be 8x9=72     then 72+1= 73
   b. For 81/10 I used a calculator for accuracy and I just divided 81 by 10 because the fraction line can also be used as a division sign. For this I got 8.1
2. Now I looked at all the numbers I had including the fractions I converted to decimals... 8.115, 8.55, 73, and 8.1
3. Lastly, I put the numbers in order from least to greatest: 8.1, 8.115, 8.55, and 73
4. In order to figure out which one is the smallest and largest, I just added zeros on the end of the numbers so they would all be the same: 8.1-->8.100, 8.115 I kept the same because it already had 3 decimal places, 8.55--> 8.550, and 73--> 73.000
5. Then i could tell which number was the largest by the decimal place numbers.
**Hope this was helpful... It's kind of hard to explain online but hopefully you have a better understanding of how to do it!**
6 0
3 years ago
Read 2 more answers
Javier earns money taking care of lawns on his neighborhood.He charges $12.00 a yard to weed, $20.00 a yard to mow, $15.00a yard
dangina [55]
$72 bc yard 1 is $32 and yard 2 is $35 plus the $5 tip
7 0
3 years ago
Identify the law illustrated by: 4(3x-7) is equivalent to 12x-28.
11Alexandr11 [23.1K]

Answer:

Distributive law of multiplication

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
−4m + 5 = -15 pls help
Fed [463]

Answer:

m = 5

Step-by-step explanation:

−4m + 5 = -15

-4m = -15 - 5

-4m = -20

m = 5

7 0
3 years ago
Read 2 more answers
Determine the volume of a sphere with a diameter of 1.30m in maths​
natta225 [31]

Answer:

1.15 m³

Step-by-step explanation:

i hope its correct and i hope its helpful

4 0
3 years ago
Read 2 more answers
Other questions:
  • For what value of x is the rational expression below undefined?<br>(3x-12)/(9-x)
    6·1 answer
  • Roots of x^2+8x+9 by finding in quadratic formula
    6·1 answer
  • Arrange from least to greatest 3,-3, 1, -5, 0, -2, -1, 4, 6.
    15·1 answer
  • HELP ME PLZ AND I WILL SHOW YOU MY KITTTTY
    15·1 answer
  • Diane has $334 in her checking account. She writes a check for $112, makes a deposit of $100, and then writes another check for
    5·1 answer
  • Two lighthouses flash their lights every 20 seconds and 30 seconds respectively. Given that they flash together at 8 p.m, when w
    15·1 answer
  • Find the volume of the<br> cake if the radius is 8<br> inches and the height is 5<br> inches.
    7·1 answer
  • I need help with 1-9 please help!!
    11·1 answer
  • Helppp yalll my mind is closed
    10·1 answer
  • What is the geometric mean of 9 and 18
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!