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
KatRina [158]
2 years ago
13

Z is proportional to x^3. describe exactly what will happen to x when z became 8 times greater

Mathematics
1 answer:
Reil [10]2 years ago
8 0

Answer: x is doubled.

Step-by-step explanation:

A proportional relationship between x and y is written as:

y = k*x

where k is called the constant of proportionality.

In this case, we know that we have a proportional relationship between z and x^3

Then:

z = k*x^3

What will happen to x when z is 8 times greater?

Let's rewrite this equation for two new quantities, z' and x'

z' = k*(x')^3

Now we need to replace z' by 8*z, then:

8*z =  k*(x')^3

We want to find a relationship between x' and x.

And by the first relationship, we know that:

z =  k*x^3

Then we can replace this in the equation "8*z =  k*(x')^3" to get:

8*(k*x^3) =  k*(x')^3

8*k*x^3 = k*(x')^3

Now we can divide both sides by k, so we get:

8*x^3 = (x')^3

Now we can apply the cubic root to both sides, to get:

∛(8*x^3) = ∛(x')^3

∛(8)*x = x'

2*x = x'

Then when we increase the value of z 8 times, the value of x will be doubled.

You might be interested in
Which of the following is a quantity that could be represented by the number
Komok [63]

Answer:

2.404 x 10^6?. A. the population of Iowa. B. the diameter (in meters) of an atom. C. the thickness (in meters) of a sheet of printer paper. D. the amount of money (in US dollars) in the average checking account. .

When 2.404 x 10^6 is expressed in another form, the number is equal to 2,404,000.  The population of a place would possibly be around this number. It cannot be the diameter of an atom since the number is too large not the thickness of a paper. It is not a common case also that the money in a bank account is around this number. Answer is A.  

6 0
3 years ago
Find the outlier of 22,26,31,37,3126,35,28,24
olya-2409 [2.1K]

Answer:

3126

Step-by-step explanation:

Because it is so much bigger than the other numbers.

5 0
2 years ago
Read 2 more answers
What is the value of the expression below
natulia [17]

Answer:

a=2,b=4. (3a+b)=3*2+4=10.

5 0
2 years ago
Ms. Hernandez writes this expression on the board. <br>​
Ahat [919]
I need a point to this question in order to answer it
7 0
3 years ago
In December 1990, the largest pizza ever baked was made in South Africa. The diameter of the pizza was 37.4 meters. What was the
madreJ [45]

Answer:

1098.0266 square meters.

Step-by-step explanation:

Area of a circle is pi times radius squared. We know the diameter, witch is twice the radius. Usually we use 3.14 as pi, but it can also be 22/7. If you have to show your work, try looking for if it asks for pi in the decimal or fraction form. Can I get brainliest?

8 0
3 years ago
Other questions:
  • (30 points) Please, if anyone can give me the answers to my Algebra 1b (semester two) cumulative exam, I'd be forever greatful e
    6·2 answers
  • Loretta is trying to build the largest taco in the world . she use 2000 pound of ground beef one tenth as many pound of cheese a
    15·2 answers
  • I am so stuck on this. I need your help. <br>​
    12·1 answer
  • What two numbers multiply to -15 and can also add up to -7
    5·1 answer
  • B+10≤-1 What is the solution of the inequality
    6·1 answer
  • 100 points
    14·1 answer
  • The sum of four consecutive numbers is 186. What is the<br> second smallest number?
    13·2 answers
  • Solve the equation? x2 (x to power of 2) = 5 Help me pls
    8·2 answers
  • A city park has a large circular garden with a path around it. The diameter of the garden is 60 feet. Jason works for the City P
    10·1 answer
  • A golfer’s arm rotates 1/2 of a revolution in 1/10 of a second. If the angular displacement is measured in radians, which statem
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!