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
What is the x-intercept of the line in the equation 4x+2y=12
Fynjy0 [20]
I think that x=2 and so does y=2. Hope that answers your question.
3 0
3 years ago
Read 2 more answers
tavyon can ride his bike at a constant rate of 12 miles per hour. how long would it take him to ride 66 miles
musickatia [10]

Answer: 5 1/2 hours

Step-by-step explanation:

1 hour = 12 miles

2 hours = 24 miles

3 hours  =36 miles

4 hours = 48 miles

5 hours = 60 miles

6 hours = 72 miles

66- 60 = 6. 6 is half of 12.

In conclusion, it will take Tavyon 5 1/2 (or 5.5) hours to bike 66 miles.

Hope this helps!

6 0
3 years ago
After school Philippe spent 1 3/4 hours at baseball practice, 2 1/4 hours on homework, and 1/4 hour getting ready for bed. About
marshall27 [118]

Answer:

4 hours. 1 3/4 is about 2, and 2 1/4 rounds to 2. 1/4 would round to 0, but it would not affect the estimate's accuracy much because we rounded up by 1/4 on 1 3/4 already. Philipe spent about 4 hours on activities.  

Step-by-step explanation:

4 0
2 years ago
Write 26 5/6<br> as a decimal.
fomenos

Answer:

26.8<u>3</u>

Step-by-step explanation:

5/6=0.83333 repeating

7 0
3 years ago
Read 2 more answers
There are 50 pennies in a roll. If you have 150 rolls of pennies, how many pennies do you have?
Y_Kistochka [10]

Answer: 7500

Step-by-step explanation:

multiply 150 by 50

8 0
2 years ago
Other questions:
  • Can y’all help me on This num 20
    13·1 answer
  • If a string that is 15.5 inches long is cut into equal peices that are 1.25 inches long how many prices of ribbon can be created
    12·1 answer
  • Please answer this question now in two minutes
    11·2 answers
  • Triangles J K L and X Y Z are shown. The length of side J is 3, the length of side K is 6, and the length of side L is 4. The le
    7·2 answers
  • ASAP please help i’ll give brainliest
    9·1 answer
  • Two squares are similar. The
    15·1 answer
  • Solve for x in the diagram below
    12·1 answer
  • There is triangle ABC triangle XYZ is similar to ABC scale factor 1/4
    15·1 answer
  • Order the numbers from least to greatest 5/6, 17/20, 83%
    12·1 answer
  • I just passed my math test that i had no idea how to do :)
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!