You have a bucket with 100 gallons of water in it. That bucket is losing water at a rate of 7 gallons per minute. How much water
have you lost after 8 minutes?
How much water is left in the bucket at this time?

Answer:

Standard form is - (x - 7)² + (y - 4)² = 5²

General form is - x² + y² - 14x - 8y + 40 = 0

Step-by-step explanation:

Given - The CB radio of a trucker covers the circular area of (7,4).

             Find the equation of that circle.

To find - Find the equation of that circle. Give your answer in both

              standard and general form.

Proof -

Given that,

Center of CB radio = (7, 4)

Point on the Boundary = (10, 0)

Now,

We know that radius, r is

r = [tex]\sqrt{(7-10)^{2} + (4-0)^{2} }[/tex]

 = [tex]\sqrt{(-3)^{2} + 4^{2} }[/tex]

 = [tex]\sqrt{9 + 16}[/tex]

 = [tex]\sqrt{25} = 5[/tex]

⇒r = 5

∴ we get

Standard form is - (x - 7)² + (y - 4)² = 5²

General form is -

x² + 7² - 2·7·x + y² + 4² - 2·4·y = 25

⇒x² + 49 - 14x + y² + 16 - 8y = 25

⇒x² + 65 - 14x + y²  - 8y = 25

⇒x² + 65 - 14x + y²  - 8y - 25 = 0

⇒x² - 14x + y²  - 8y + 40 = 0

So, the general form is -

x² + y² - 14x - 8y + 40 = 0

Step-by-step explanation:

I think Option A is your answer ☺️☺️☺️

Answer:

B

Step-by-step explanation:

Set up a proportion and see if it is true:

[tex]\frac{12}{8} =\frac{27}{18} \\\frac{3}{2} =\frac{3}{2}[/tex]

True, so they are similar.

The similarity statement would be QRS ~ QED

So B is the answer

Answer:

false

Step-by-step explanation:

The value of |−37| is 37

however, since the negative sign is in front of the absolute value,

−|−37| = -37

Therefore,

−|−37| does not equal 37

The given statement −|−37| = 37 is false.

Given that, −|−37| = 37.

We need to whether the given statement is true or false.

The absolute value of a variable x is represented by |x| which is pronounced as 'Mod x' or 'Modulus of x'. 'Modulus' is a Latin word, which means 'measure'. Absolute value is commonly referred to as numeric value or magnitude. The absolute value represents only the numeric value and does not include the sign of the numeric value. The modulus of any vector quantity is always taken as positive and is its absolute value.

Now, |−37|=37

So, -|−37|=-37

Therefore, the given statement is false.

To learn more about an absolute value visit:

https://brainly.com/question/1301718.

#SPJ2

Answer:

im pretty sure its 170 inches long

Step-by-step explanation:

Answer:

176 Inches long.

Step-by-step explanation:

160 multiplied by .1 gets you 10% then add 160 to 16 to get 176.

Answer:

the volume is 50m^3

Step-by-step explanation:

The computation of the volume of the room is shown below:

As we know that

The Volume of the room = length × width × height

volume = 5m × 4m × 2.5m

= 50m^3  

Hence, the volume is 50m^3

Answer:

y = 1500(1.079)^t

Step-by-step explanation:

Here, we want to write an exponential function

Mathematically, we have this generally as;

FV = IV( 1 + r)^t

where FV is future value which is y in this case

IV is the initial value which is 1,500 kn^2 in this case

r is the rate of change which is 7.9%

7.9/100 = 0.079

t is the time difference

so we have the equation as;

y = 1500(1 + 0.079)^t

y = 1500(1.079)^t

Answer:

if you are dividing the 2 fractions the answers are below

Step-by-step explanation:

1. 0.24

2. 3.75

3. 0.44642857

Answer:

B) (0,0); r=5

Step-by-step explanation:

A circle's standard form is (x-h)^2+(y-k)^2=r^2

The center is (h, k) and the radius is r.

So, here the center would be (0, 0) and the radius would be square root 25, or 5.

Answer:

(0,0) r=5

Step-by-step explanation:

The guy above me

Answer:

(edit) wait sorry i forgot slope-intercept form

Step-by-step explanation:

the answer should be y = - 4/3x - 2

Answer:

4

Step-by-step explanation:

80 devided by 20

Answer:

just add all the number and divide them .

Answer:

hi hi hi

Step-by-step explanation:

hi hi

Answer:

okay since there isn't a picture to work with, im going to assume that there is a circle inscribed in a square with a side length of 28, and all the sides of the square are tangent to the circle.

So if you need the area of just the circle, that is 615.75 in^2

If you need the area of the square, but not including the circle 168.25 in^2

And if you need the area of the whole square 784 in^2

Step-by-step explanation:

It is most likely the second one, but answer based what you see in the diagram.

Answer:

4

Step-by-step explanation:

The number of subsets of P simply refers to the power of the sets.

P(P) = 2^n(P)

where P(P) is the power of the set P

n(P) is the cardinality of set P

P(P) = 2^2 = 4

The question is incomplete:

The total distance of a race is 18.9 km.

If volunteers set up a water station every 0.7 km, including one at the finish line, how many stations will they have?

Answer:

They will have 27 stations.

Step-by-step explanation:

In order to find the answer with the information provided, you have to divide the total distance of the race by 0.7 that is the distance at which the volunteers will set up the water stations:

18.9/0.7= 27

According to this, the answer is that they will have 27 stations.

Answer:

Part A

D

Part B

76

Step-by-step explanation:

I don't know how to explain it