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
kow [346]
3 years ago
5

If y varies jointly as x and the cube of z and y=16 when x=4 and z=2 then y=0.5 when x=-8 and z=-3?

Mathematics
2 answers:
Evgesh-ka [11]3 years ago
8 0

Answer: F (False)

Step-by-step explanation:

 Jointly variation has the following form:

y=kxz

Where k is a constant of propotionality.

Substitute values:

If y=16, x=4 and z=2, then k is:

16=k(4)(2)^{3}\\k=1/2

If x=-8 and z=-3 the the value of y is:

y=(1/2)(-8)(-3)^{3}\\y=-108

Then the answer is FALSE.

valina [46]3 years ago
5 0

Answer:

False (F)

Step-by-step explanation:

Given: Y varies jointly as x and the cube of z.

y = kxz^3

Now we have to find k, when y = 16, when x = 4 and z = 2

16 = k . 4. 2^3

16 = k.4. 8

16 = 32k

k = 16/32

k = 1/2

Now we have the equation y = 1/2 . x. z^3

Now we have to check for y =0.5 when x = -8 and z = -3

Now we have to plug in x = -8 and z = -3 and see if we get y = 0.5

y = 1/2 * -8 * -3^3

y = -4*-27

y = -108

We got y = -108 which is not equal to y = 0.5

Therefore, answer if false (F)

Thank you.

You might be interested in
The area of a triangle that is similar to the one below is the area of this triangle. What is the length of the base of the simi
svp [43]

The answer is 7 feet

7 0
3 years ago
91/100 in simplest form
otez555 [7]
91/100 is already in simplest form
3 0
3 years ago
A store sells $5000 worth of running shoes on Monday. On Tuesday, it sells $6250 worth of running shoes. What is the percent inc
professor190 [17]

Answer:6300

Step-by-step explanation:

6 0
3 years ago
According to the 2000 Census the population of Canton was 7,720. Holly Spring's population was 3,200. Canton's population increa
Kazeer [188]
Firstly, the rate of increase of Canton = 80/7720 = 0.010
The rate of increase of HP = 120/3200 = 0.0375
Apply  the formula of compound interest==> A =A'(1+i)^n
The population will be equal when the following equality is satisfied

7720(1+0.01)^n = 3200(1+0.0375)^n

or

7720x1.01^n = 3200x1.0375^n

Divide both sides by 3200 ===>(193/80)x1.01^n=1.0375^n
8 0
3 years ago
Read 2 more answers
Need help on both of these for geometry
artcher [175]

Answer:

Step-by-step explanation:

have the triangles written in the same order to se the corresponding angles

C      A .   T

⇵ .  ⇵ .   ⇵

D      O .   G

∠D ≅∠C

∠O ≅∠A

GD ≅TC

10.

you have an isosceles triangle with vertex angle 48 so the base angle is

(180-48)/2 = 66

32+ x = 66 because is an exterior angle

x= 66-32 = 34

4 0
3 years ago
Other questions:
  • Bob and Mark talk about their families. Bob says he has 3 kids, the product of their ages is 72. He gives another clue: the sum
    7·1 answer
  • Which expression has a value of 66? A. (16 ÷ 3.2) × 2 + 0.2 × (8 + 82) B. [(16 ÷ 3.2) × (2 + 0.2)] × 8 + 82 C. 16 ÷ [(3.2 × 2) +
    9·1 answer
  • Two machines are used for filling plastic bottles with a net volume of 16.0 ounces. The fill volume can be assumed normal,with sta
    6·1 answer
  • The answer to this question 180, but how?
    13·1 answer
  • what is the equation of the line perpendicular to y=2/3x 1 that passes through the point (12, –6)? a. 3x 2y = 24 b. 3x 2y = 6 c.
    10·1 answer
  • Easy question. giving brainliest<br> 7g+8(6g+3)=849<br><br> g=
    12·2 answers
  • Negative symbol as opposite | HELP PLS
    8·2 answers
  • What is the area of a circle whose radius is r?
    15·1 answer
  • HELP<br><br> HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.<br><br> THX
    7·2 answers
  • Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!