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
MAXImum [283]
2 years ago
8

Given: y varies directly as x squared and inversely as z cubed. If y = 12 when x = 4 and z = 2, find x when y = 1.728 and z = 5.

Mathematics
1 answer:
Verizon [17]2 years ago
7 0

Answer:

a

Step-by-step explanation:

given y varies directly as x² and inversely as z³ then the equation relating them is

y = \frac{kx^2}{z^3} ← k is the constant of variation

to find k use the condition y = 12 when x = 4 and z = 2 , then

12 = \frac{k(4)^2}{2^3} = \frac{16k}{8} ( multiply both sides by 8 )

96 = 16k ( divide both sides by 16 )

6 = k

y = \frac{6x^2}{z^3} ← equation of variation

when y = 1.728 and z = 5 , then

1.728 = \frac{6x^2}{5^3} = \frac{6x^2}{125} ( multiply both sides by 125 )

216 = 6x² ( divide both sides by 6 )

36 = x² ( take square root of both sides )

\sqrt{36} = x , that is

x = 6

You might be interested in
18. Solve the equation.<br> m- 10/3 - 5m-9/7 = 1
JulijaS [17]

The answer is m = -59/42

Step by step explanation is in the image below.

4 0
3 years ago
If vs = 12 then ut = 12 18 24
evablogger [386]
Ut=12=vs 
hope this somewhat helps because i really don't understand what this means
4 0
3 years ago
Read 2 more answers
Dalia bought a few swirl marbles and divided it equally among four of her friends
Gennadij [26K]

Answer:

16 ang answer

Step-by-step explanation:

Kung mali comment me

6 0
2 years ago
Multiply the fractions and reduce to lowest terms. Use cancellation whenever possible
dedylja [7]
Answer is given below

3 0
3 years ago
Find the product: −5/3 (−2/3 )(−18)
Dovator [93]

Answer:

A) −20

Step-by-step explanation:

−5/3 (−2/3 )(−18)

Multiply the first and  second terms.  A negative times a negative is a positive

-5/3 * -2/3 = 10/9

10/9 * -18

Rewriting for easier math

-18/9 * 10

-2 * 10

-20

4 0
3 years ago
Read 2 more answers
Other questions:
  • Help me with the question in the picture?
    13·1 answer
  • ray ZP bisects ∠OZQ so that ∠OZP = 8x – 9 and ∠PZQ = 5x + 18. Find the value of x, and the measure of each angle. You must show
    7·1 answer
  • 34% of 149? Solve and explain. Thanks!
    6·1 answer
  • A gym membership at A costs $10/month plus a one-time membership fee of $15, and at B, the memberships costs $4/month plus a one
    5·1 answer
  • The ratio of Michael and Neil’s ages is 7:6. If Neil is really 42 years old, how old is Michael?
    7·1 answer
  • What are the factors of 65. Like a factor tree.
    11·2 answers
  • Alexandra and Mason are employees for a company. Alexandra is making a salary of $49,329. Alexandra is earning a salary that is
    7·1 answer
  • Can someone help me please i didnt learn this
    14·1 answer
  • Find the number of roots for the equation. Will mark brainliest!
    7·1 answer
  • PLEASE HELP ASAP<br> (Picture shown)
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!