Mathematics High School

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

Answers

Answer 1

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.

Related Questions

l=prt
you have to solve for t

Answers

Answer:

T is equal to I divided by pr. [tex]t=\frac{I}{pr}[/tex]

Step-by-step explanation:

This is the equation for interest.

I is interest.

P is the principal

r is the interest rate

t is the time in years

you have to isolate for t.

Because multiply p times r times t, divide both sides by pr due to the fact that division is the inverse operation of multiplication

Then you are left with t= i divided by pr.

hope this helps

Simplify the expression 10a + 5b + 3 - 25a + 2b - 18 + 3b - 5a pls!!!

Answers

Answer:

−20a + 10b − 15

Step-by-step explanation:

The expression simplified is: −20a + 10b − 15

hope this helps

How do you solve this ANSWER QUICK!!!

Answers

3.07 x 9.4 = 28.858

So 8.2 x 7.98 = 65.436

2.8 x 0.05 = 1.40

6.25 x 10.0 = 62.50

Answer:

3.07 x 9.4 = 28.858

8.2 x 7.98 = 65.436

2.8 x 0.05 = 0.14 (put the zero in too it's important

6.25 x 10.4 = 65

The Code:

8415

I think

Solve the inequality 7(x+2)-5>3(x-1)

Answers

Answer:

x>-3

Step-by-step explanation:

I used a calculator

7x-3=18
What is x in the question i cbat figure it out

Answers

7x-3 = 18
+3 for both sides

7x = 21
devide 7 for both sides

x = 3

common denominator for 3/5 and 1/2

Answers

Answer: 10

Step-by-step explanation:

To find a common denominator, simply multiply the denominator and numerator of one fraction by the denominator and numerator of the other. Then repeat.

3*2/5*2 = 6/10

1*5/2*5=5/10

As you can see, the denominator of both fractions is 10.

Hope it helps and lmk if you need further explanation :)

The circumference of a circle with diameter is 28 is

Answers

Answer:

the answer is 87.96

Step-by-step explanation:

Answer:

87.92 units

Step-by-step explanation:

circumference = D x Pi = 28(3.14) = 87.92

A diagram of a swimming
pool is below. The width of
the pool is 25 m, find the
length of the actual pool?
7.5 cm
15 cm

Answers

the correct answer is 50

7.5×2 = 15

25×2 = 50

Learning Task 3
Solve the word problems
1. The sides of the quadrilateral are consecutive numbers. If the perimeter is 160,
how long is each side?
2. Inzo is 10 years older than Migz. Five years ago Migs is one-third as old as
Inzo. What are their present ages?
3. An express train travels 100 kph from station A to station B. A local train
travelling at 45 kph, takes 45 minutes longer for the same trip. How far apart
is station A from station B.
4. The sum of two consecutive even integers is less than 60 but greater than 24
Find at least 3 pairs of numbers
5. The perimeter of the square is less than 152 m. Find the possible length of t
sides of the square.

Answers

Answer:

Step-by-step explanation:

Conflict is

the deliberate attempt to control a person by force, to oppose someone, or to harm another person.

when two or more people or groups work together to achieve a goal that will benefit more than one person.