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

Answer: 21 units

Step-by-step explanation:

20.93 is 7% of that

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.

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:

Step-by-step explanation:

10+5xy

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

= 10 + 5 × 5 × (-2)

= 10 - 50

= -40 (Ans)

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

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

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'.

Answer:

dawdawdwawdawdda

Step-by-step explanation:

daqwdwadwadwawdadw

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

Answer:

P(number of cube) = 3/6

=1/2

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.

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.

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:

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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

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.

Answer:

ok the perimeter is 10 and the area 6

Step-by-step explanation:

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 value of h(a -4) is -a² + 8a - 8

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

Given the functions;

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:

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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

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!

Answer:

D

Step-by-step explanation:

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

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)

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! :)

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:

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

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

Answer: OPTION 3 i think sorry

and please dont kus

Step-by-step explanation:

Answer:

-4-3x = -4-3x

Step-by-step explanation:

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

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

-4-3x = -4-3x