2. Suppose y varies directly as x and y=-8 when x=-2. Find x when y=32.

Answers

Answer 1

Answer:

x = 8

Step-by-step explanation:

Use the direct variation equation, y = kx

Plug in the given values of x and y, and solve for k:

y = kx

-8 = k(-2)

4 = k

So, the equation is y = 4x

Using this, plug in 32 as y, and solve for x:

y = 4x

32 = 4x

8 = x

So, x = 8 when y = 32


Related Questions

Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(3, -2)A(3,−2)A, left parenthesis, 3, comma, minus, 2, right parenthesis, B(6, -2)B(6,−2)B, left parenthesis, 6, comma, minus, 2, right parenthesis, C(6, 5)C(6,5)C, left parenthesis, 6, comma, 5, right parenthesis, and D(3, 5)D(3,5)D, left parenthesis, 3, comma, 5, right parenthesis.
What is the area of rectangle ABCDABCDA, B, C, D?

Answers

Answer: 21 units

Step-by-step explanation:

A spherical container has a diameter of 100 centimeters. It is filled with a liquid that costs $80 per cubic centimeter. What is the total value of the liquid in the container?

Use 3.14 for π.
Enter your answer in the box to the nearest penny. will mark brainliest

Answers

Answer:

The total value of the liquid in the container is about $41,866,666.67.

Step-by-step explanation:

A spherical container has a diameter of 100 centimeters.

It is filled with a liquid that costs $80 per cubic centimeter.

And we want to determine the total value of the liquid in the container.

We can start by finding the volume of the container.

Since the container has a diameter of 100 centimeters, its radius if 50 centimeters.

The volume of a sphere is given by:

[tex]\displaystyle V=\frac{4}{3}\pi r^3[/tex]

Substitute. We will also use 3.14 for π. So:

[tex]\displaystyle =\frac{4}{3}(3.14)(50)^3=523333.33...\text{ cm}^3[/tex]

(Try not to round intermediate values.)

Since each cubic centimeter costs $80, we will multiply the total volume by the cost per cubic centimeter to find the total value. Thus, the total value is:

[tex](523333.\overline{3})(80)\approx \$41, 866, 666.67[/tex]

The total value of the liquid in the container is about $41,866,666.67.

Help me pls
(if here for points go away I will report)

If Amber decides to mail copies of her photo to the 45 residents of her grandmother's assisted living facility, the new function representing her photo shares is f(x) = 3(4)x + 45. How does this graph compare with the original graph of Amber's photo share?

Answers

Answer:

We know that Amber decided to mail copies of her photo to the 45 residents of her grandmother's assisted living facility, and after this, the function representing the photo shares is:

f(x) = 3*(4)^x + 45

We do not know the initial function, but with the given information we can assume that the original equation is:

g(x) = 3*(4)^x

Then the new function is:

f(x) = g(x) + 45.

This is a vertical translation, remember that for a function h(x), a vertical translation of N units is written as:

k(x) = h(x) + N

if N is positive, we have a translation of N units up

if N is negative, we have a translation of N units down.

in this case we have;

f(x) = g(x) + 45

This means that f(x) is a vertical translation of 45 units of g(x), then:

the graph of the new function is 45 units above the original function.

PLEASE HELP!!!!
IF DON'T KNOW PLEASE DON"T ANSWER!!!!

Answers

Answer:

dawdawdwawdawdda

Step-by-step explanation:

daqwdwadwadwawdadw

What is the probability of rolling a multiple of 2 with one toss of a number cube?

Answers

Answer:

P(number of cube) = 3/6

=1/2

Hi I need help please I will give you 10 each person

Answers

Answer:

[-5,1] or [-4,5]

Step-by-step explanation:

Here, we want to get the intervals over which there is an average rate of change of zero for f

For this to happen, over the given interval, there will not be a change in the y-axis value

What this mean is that the y-axis value will remain the same over this given interval

for x = -5 to x = 1, we have this

for x = -4 to x = 5 , we have this

The distance between 5,-8 and 5,7 hurry please

Answers

Answer:

it should be 15

Step-by-step explanation:

Answer:

15 units

Step-by-step explanation:

Since the x- coordinates of both points are the same, then calculate the distance between the y- coordinates using the absolute value, that is

d = | - 8 - 7 | = | - 15 | = 15 , or

d = | 7 - (- 8) | = | 7 + 8 | = | 15 | = 15

Simplify using properties of operations and then factor the expressions using the GCF. (2g + 2) - (-4g - 7)

Answers

Answer:

3(2g + 3)

Step-by-step explanation:

We start out with the expression (2g + 2) - (-4g - 7).

Firstly, let's distribute the negative:

(2g + 2) - (-4g - 7)

2g + 2 + 4g + 7

Now, combine like terms:

2g + 4g + 7 + 2

6g + 9

The GCF stands for "Greatest Common Factor." In this case, we have to find the GCF between 6 and 9. What is the GCF of 6 and 9? It would be 3. So,

6g + 9

3(2g + 3)

(please help ASAP) Help me Identify what is wrong in someone else's work

Answers

Answer:

His problem is he should have use COS instead of SIN

41.69= x

Step-by-step explanation:

if you are looking for the altitude, then we have and adjacent side and hyp. so COS 52=y/36

.616=y/36

22.164=y

Tan (28)= 22.164/x

.5317x=22.164

x=41.69

The altitude it wrong I think

Use the functions f(x)=10-9/2x, g(x)=|-3x+16|, and h(x)=-x^2+8
Find h(a-4). urgent please answer

Answers

The value of h(a -4) is -a² + 8a - 8

What is a function?

A function can be defined as an expression or rule that explains the relationship between a dependent and an independent variable.

Given the functions;

f(x)=10-9/2x g(x)=|-3x+16| h(x)=-x^2+8

To determine  h(a-4), we substitute the value of x as a - 4 in the h(x) function, we have;

h(a - 4) =- (a - 4)² + 8

expand the bracket

h(a - 4) = - ( a - 4)(a - 4) + 8

h(a - 4) = - (a²- 4a - 4a + 16) + 8

collect like terms

h(a - 4) = - a² + 8a -16 + 8

h(a - 4) = -a² + 8a - 8

Thus, the value of h(a -4) is -a² + 8a - 8

Learn more about functions here:

https://brainly.com/question/4025726

#SPJ1

If x=5 and y=−2, evaluate the following expression:10+5xy​

Answers

Answer:

-40

Step-by-step explanation:

You can replace the values of x with 5 and the values of y with (-2).

10 + 5xy = 10 + 5 × 5 × (-2)

              = 10 + 5 × (-10)

              = 10 + (-50)

              = -40

Answer:

-40

Step-by-step explanation:

10+5xy

[By putting the value of x = 5 and y = -2 ]

= 10 + 5 × 5 × (-2)

= 10 - 50

= -40 (Ans)

an 18- inch board was cut into two pieces. The first piece was 4 inches shorter than the second piece. What were the lengths of each piece​

Answers

Answer:

one side would be 11 inches and the other side would be 7  

Step-by-step explanation:

7 is 4 inches shorter than 11 and the board is 18 inches so when you add 11 and 7 you get 17

Answer:

18 divided by 2= 9

Take one out if the two 9's and minus 4 from only one of them.

9-4=5

Now you have the answer!

Answer: 9 and 5

Hope this helped! :)

Relationship a is defined by the equation y=9x some values of relationship b are (0,0)(3,34.5)(5,57.5)(8,92) both relationships have a direct proportion between x and y. The rate of change of relationship b is how many units greater then the rate of change of relationship a

Answers

Answer:

The rate of change of relationship 'b' is 2.5 times greater than the rate of change of relationship 'a'

Step-by-step explanation:

The given parameters are;

The function representing relationship 'a' is y = 9·x

Some values of relationship 'b' are;

(0, 0), (3, 34.5), (5, 57.5), and (8, 92)

For direct proportionality of relationship 'b' we have;

y = k₂·x

∴ k₂ = y/x

∴ k₂ = 34.5/3 = 23/2

57.5/5 = 23/2

92/8 = 23/2

k₂ = 23/2

Therefore, the direct proportionality relationship of relationship 'a' is y = 9·x

∴ k₁ = 9

Therefore, the rate of change of relationship 'b' is k₂ - k₁ = (23/2) - 9 = 2.5 times greater than the rate of change of relationship 'a'.

Solve the system of linear equations.
3x + 5y = -2
2x - y = 3

Answers

Answer:

3x + 5y = -2 is x= −5 /3 y+ −2 /3

2x - y = 3 is x= 1 /2 y+ 3 /2

Step-by-step explanation:

(5y+5)+(7y-9)=(6x+50)+2(5x-5)

Answers

X=3y-11-------------      4
Y= 4x/3 + 11/3 djfkckskdkkvlxksldmlclzp

1. What is the mass of an object if it takes a net force of 25 N to accelerate it at a rate of 0.88 m/s2?

Answers

Answer:

28.4 kg

Step-by-step explanation:

F = ma

F is 25 N and a is 0.88 m/s^2

25 = 0.88m

Divide both sides by 0.88

m = 28.4 kg

The mass of an object is 28.4 kg.

It is required to find the mass of an object.

What is force?

The capacity to do work or cause physical change; energy, strength, or active power. The push or pull on an object with mass causes it to change its velocity. Force is an external agent capable of changing a body's state of rest or motion. It has a magnitude and a direction.

Given:

Net force = 25 N

Acceleration=0.88 m/s^2

According to given question we have,

F = ma

25 = 0.88m

Divide both sides by 0.88

m = 28.4 kg

Therefore, the mass of an object is 28.4 kg.

Learn more details about force here:

https://brainly.com/question/13191643

#SPJ2

Which of the numbers below is greater than zero? Select all that apply.

-2.5
-1/5
3.5
4/5
2.25


Answer fast i will give brainless!

Answers

Answer:

3.5, 4/5 and 2.25 is greater than zero

Step-by-step explanation:

Basicly any number without a - sign is greater than zero.  Hope this helps :)

Answer:

3.5 and 2.25

Step-by-step explanation:

-2.5 is a negative so cross that out, same thing goes for -1/5. 4/5 is a fraction so its less than zero but if it was 5/5 that would equal 1 but its not

Solve by factoring 2x^2-7x-4=0

Answers

Here is what I got
I have to write 20 words so here they are

how many times can 10 go into 111?

Answers

Answer:

11 times

Step-by-step explanation:

hope this helps

Answer:

11.

Step-by-step explanation:

10 x 10 = 100

10 x 11 = 110

10 x 12 = 120 which is too much so its the one above.

Solving each equation: -10-3(x-2)=-(4+3x)

Answers

Answer:

-4-3x = -4-3x

Step-by-step explanation:

-10-3(x-2)=-(4+3x)

-10-3x+6 = -4-3x

-4-3x = -4-3x

Can someone help me please

Answers

Answer:

13.7

Step-by-step explanation:

15^2-6^2=189

The square root of 189 is 13.74 blah blah blah

Answer:

13.7

Step-by-step explanation:

a²+b²=c²

a²+6²=15²

a²+36=225

a²=189

a≈13.7

Find m<1
32°
350
Оа
32°
Ob
35°
58°
Od
90°

Answers

Answer:

in triangle of 35 degree,

other angle = (35+90)

that is 125.

therefore angles is 180-125= 55 degrees.

for the upper triangle,

same thing.

180-(32+90)=180-122=58 degrees

what is the volume of the rectangular pyramid shown​

Answers

Answer:

80 cm^3 = V

Step-by-step explanation:

The volume of a rectangular pyramid of base area A and height h is

V = (1/3)(base)(height).

Given that the dimensions of the base are L = 10 cm and W = 4 cm, the base area is 40 cm^2.

The height of the pyramid is h = 6 cm.

Therefore the volume of this particular pyramid is

V = (1/3)(40 cm^2)(6 cm), or V = 80 cm^3

help please, I really need it to move on.

Answers

Answer:

D

Step-by-step explanation:

I believe it's d. it looks closest to the values provided.

Ramkin is going to flip a fair coin 100 times.
What is the best prediction for the number of times that the coin will land tails up?

Answers

Answer:

50 times

Step-by-step explanation:

You are going to flip a coin 100 times. There are 2 sides. So, what you would do is divide 100 by two because there are two sides. There is a 50% chance that the coin will land on heads, and a 50% chance it will land on tails.

Please let me know if you have any more questions. Hope this helps!

HELP ME OMG BEFORE I K.MS
If a line containing these points is plotted on a coordinate plane what should the graph look like (brainliest)

Answers

Answer: OPTION 3 i think sorry

and please dont kus

Step-by-step explanation:

HELP PLZ ASAP PLZ HELP ME ITS DUE IN LIKE 7 MIN HELP ME

Answers

Answer:

ok the perimeter is 10 and the area 6

Step-by-step explanation:

Original price of an apple watch: $299.00 Sales Tax: 7%​

Answers

20.93 is 7% of that

The height of the water in an above ground pool is 36 inches. The pool needs to be drained. As the water drains, the height of the water changes at a rate of -1/2 inch per minute. How many minutes will it take to drain the pool?

Answers

Answer:

72 minutes

Step-by-step explanation:

Height of water in pool = 36 inches

Drain rate = - 1/2 inch per minute

The number of minutes it'll take to fully drain :

Height of water / drain rate

= 36 / 1/2

= 36 / 0.5

= 72 minutes


26. Pauline's health club has an enrollment fee
of $175 and costs $35 per month. Total cost as a
function of number of membership months
is shown in the graph.
a. Write an equation that represents the total cost
as a function of months.
b. Identify the slope and y-intercept and describe
their meanings.
C. Find the cost of one year of membership.
Cost ($)
250
200
150
100
50
0

Answers

Can u repost with the graph?
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