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
Solve x/8+5/2+=3/2 what does x equal?
n200080 [17]

Step-by-step explanation:

\frac{x}{8}  +  \frac{5}{2}  =  \frac{3}{2}

by taking L.C.M

\frac{2x + 40}{8}  =  \frac{3}{2}

cross \: the \: values

2(2x + 40) =  8 \times 3

4x + 80 = 24

4x = 24 - 80

4x =  - 56

x =  \frac{ - 56}{4}

x = - 14

8 0
3 years ago
Brainly use a matrix to find the solution to the system of equations -8x-8y=-16 6x-9y=-108
Mama L [17]
We want to use a matrix to solve
-8x - 8y = -16
6x - 9y = -108

Before solving, simplify the equations as follows:
Divide the first equation by -8 to obtain
x + y = 2             (1)
Divide the second equation by 3 to obtain
2x - 3y = -36       (2)

In matrix form, the equations are
\begin{bmatrix}1&1\\2&-3\end{bmatrix} \begin{\bmatrix} x\\y\end{bmatrix}=\begin{bmatrix}2 \\ -36 \end{bmatrix}

The determinant of the matrix is
D = (1)(-3) - (1)(2) = -5

Use Cramer's Rule.
x =  \frac{1}{D} det(\begin{bmatrix}2&1\\-36&-3 \end{bmatrix} ) =  \frac{1}{-5} (-6+36) = -6
Similalrly, 
y= \frac{1}{-5} det(\begin{bmatrix} 1&2\\2&-36\end{bmatrix} ) = \frac{1}{-5}(-36-4) =8

Answer:  (-6, 8)  or x = -6, y = 8


8 0
3 years ago
A cube has a volume of 64 cm3. What is the length of a side of a cube
Reil [10]

Answer:

V=8cm

Step-by-step explanation:

V=a³

a=∛64


7 0
3 years ago
Find the perimeter of the above rectangle.
4vir4ik [10]

Answer:

74

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Simplify to a single logarithm, using logarithm properties: ln(4^2) + ln (3^3)
Viefleur [7K]

Answer:

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • A state lottery randomly chooses 7 balls numbered from 1 through 45 without replacement. You choose 7 numbers and purchase a lot
    10·1 answer
  • What is the number has 8 zeros in it
    8·1 answer
  • Find the product 6.43×0.07
    15·1 answer
  • Expand & simplify (x-2)(x+4)
    13·2 answers
  • What is a in this equation <br> –6(2 + a) = –48
    14·2 answers
  • help me please !!!!!!!!!
    14·1 answer
  • Question 10 of 10
    7·1 answer
  • Please help! I’ll return you with a brainlist and 5 stars.
    15·2 answers
  • Four sided pyramid with oranges stacked six layers high.<br> How many oranges?
    15·2 answers
  • Cos^2xcos^2x/2 -sin^2(x/2 -pi/4)sin^2x
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!