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
bija089 [108]
3 years ago
10

H varies directly to the cube of c. When H = 40, C = 2. (a) Express H in terms of c.

Mathematics
1 answer:
Alecsey [184]3 years ago
4 0

Answer:

H in terms of c is H = 5c³.

Step-by-step explanation:

Given that:

H = 40 and c = 2

H varies directly to the cube of c.

Which means that,

H ∝ c³

Let,

k be the proportionality constant.

H = kc³

Putting H=40 and c=2

40=k(2)^3\\40=k(8)\\40=8k\\8k=40

Dividing both sides by 8,

\frac{8k}{8}=\frac{40}{8}\\k=5

Now,

H in terms of c.

H = 5c³

Hence,

H in terms of c is H = 5c³.

You might be interested in
What is 9/7 times -9/5?
pochemuha

Answer:

- 2 11/35

Step-by-step explanation:

Step 1:

9/7 × - 9/5     Equation

Step 2:

- 81/35      Multiply

Answer:

- 2 11/35       Convert

Hope This Helps :)

8 0
2 years ago
Write an equation of a line that passes through the point (-5,3) and is parallel to the line y = -2x + 5.
zimovet [89]

Answer:

Step-by-step explanation:

y = -2x+5

slope of line is -2.

slope of parallel to line is also -2

point-slope equation for line of slope -2 that passes through (-5,3):

y-3 = -2(x+5)

8 0
2 years ago
How to do the fractions
GaryK [48]
First you make the mixed numbers/fractions into improper fractions. After that, you must find the common denominator, the LCM of 9 and 6 (for the 2nd problem). After that, if you can, simplify the fraction to lowest terms, which also includes making it a mixed number/fraction.

I hope this helps! :)
3 0
3 years ago
56+24x product of the gcf and sum
sergejj [24]
SOLUTION:

GCF = 8

56 + 24x = 8 ( 7 + 3x )

Hope this helps! :)
3 0
3 years ago
Explain the difference between independent and dependent events AND how I can tell the difference in a word problem.
Talja [164]

Answer:

The difference between the two is that in a dependent event an action will affect the ultimate outcome, but in an independent event an action won't affect the ultimate outcome. A way to tell is if the total number of the "item" at hand will be affected by the action the question is saying. In the case of the example given, that is a dependent event because the total of marbles you started with is changed due to you not replacing the one you first took. Therefore the probability is now different.

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • A non- zero number raised to the zero exponent equals..?
    11·2 answers
  • Lines m and p are perpendicular. if the slope of line m is -3 what is the slope of line p?
    10·2 answers
  • Aaron found rhe length of the diagonal of a rectangle to be an irrational number. What could be the lenght of the diagonal
    14·1 answer
  • Give me a good yo mama joke and ill mark brainliest
    8·2 answers
  • 7a + 8 = 20 solve for a
    8·2 answers
  • How do you Simplify :(2p^-3)^5
    7·1 answer
  • The distance between the parallel lines x – 2y = 3 and 2x – 4y = 12 is
    7·2 answers
  • At a store a shirt has regular price of y dollars. During a sale, the price of the shirt by 40%. The expression 0.60y describes
    5·1 answer
  • Cindy is selling circus tickets. On the first day she sells 6 adult tickets and 5 children tickets for total of 112.50. On the s
    7·1 answer
  • The area of a circle is 18.31cm2.<br> find the length of the radius rounded to 2 dp.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!