A catfish pond contains 2,200 gallons of water. The pond can hold no more than 3,000 gallons. It is being filled at a rate of 125 gallons per hour. (PLS INCLUDE ALL STEPS)

1) Write an inequality that will represent how many hours, h, it will take to fill the pond.

2)How many whole hours will it take to fill but not overfill the pond?

Answer:

Option (1)

Step-by-step explanation:

Given inequality is.

4x + 5 ≥ 13

We will further solve this inequality,

(4x + 5) - 5 ≥ 13 - 5

4x ≥ 8

[tex]\frac{4x}{4}\geq \frac{8}{4}[/tex]

x ≥ 2

Therefore, on a number line solution of x will be all values of x greater than equal to 2.

Which will be represented by and arrow starting with a solid point from x = 2 directing towards numbers greater than 2.

Option (1) will be the answer.

Answer:

We'll use 3.14 as an approximation of pi. So, now we plug the values into the equation. A = 3.14 * 8^2/2.

Step-by-step explanation:

Answer:4

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

because you take 3 pulse 2

Answer:

1) 180 degrees; straight angle

2) (5x-18)+(4x+45)=108

3) x=17

4) 90 degrees; right angle

5) (3x+6)+(5x+4)=90

6)x=10

Step-by-step explanation:

Answer:

B would be your answer I think Don't hold me to it!

Step-by-step explanation:

Answer:B -4-2 0 2 4

Step-by-step explanation:

Answer:

The minimum velocity of the particle  = [tex]-e^{-2 }[/tex] units

Step-by-step explanation:

Given - A particle moves along a horizontal line so that its position at time t,

t ≥ 0, is given by  s(t) = 40 + te^−t/20.

To find - Find the minimum velocity of the particle for 0 ≤ t ≤ 100.

Proof -

Velocity, v(t)  = [tex]\frac{d}{dt}(40 + te^{-\frac{t}{20} } )[/tex]

Now,

[tex]\frac{d}{dt}(40 + te^{-\frac{t}{20} } )[/tex] =  [tex]\frac{d}{dt}(40 ) + \frac{d}{dt}(te^{-\frac{t}{20} } )[/tex]

                       = 0 + [tex]t\frac{d}{dt}(e^{-\frac{t}{20} } ) + e^{-\frac{t}{20} }\frac{d}{dt}(t )[/tex]

                       = [tex]t(-\frac{1}{20} )e^{-\frac{t}{20} } + e^{-\frac{t}{20} }[/tex]

⇒v(t) = [tex]-\frac{t}{20}e^{-\frac{t}{20} } + e^{-\frac{t}{20} }[/tex]

Now,

For minimum velocity, Put [tex]\frac{d}{dt}(v(t)) = 0[/tex]

Now,

[tex]\frac{d}{dt}[v(t)] = \frac{d}{dt} [ -\frac{t}{20}e^{-\frac{t}{20} } + e^{-\frac{t}{20} } ][/tex]

           = [tex]-\frac{2}{20} e^{-\frac{t}{20} } + \frac{t}{400} e^{-\frac{t}{20} }[/tex]

Now,

Put [tex]\frac{d}{dt}(v(t)) = 0[/tex], we get

[tex]-\frac{2}{20} = - \frac{t}{400}[/tex]

⇒t = 40

Now,

Check that the point is minimum or maximum

Calculate  [tex]\frac{d^{2} }{dt^{2} } [v(t)][/tex]

Now,

[tex]\frac{d^{2} }{dt^{2} } [v(t)][/tex] = [tex]\frac{d}{dt} [ -\frac{2}{20} e^{-\frac{t}{20} } + \frac{t}{400} e^{-\frac{t}{20} }][/tex]

            = [tex]\frac{1}{400}e^{- \frac{t}{20} } [ 3 - \frac{t}{20}][/tex]

⇒[tex]\frac{d^{2} }{dt^{2} } [v(t)][/tex]  = [tex]\frac{1}{400}e^{- \frac{t}{20} } [ 3 - \frac{t}{20}][/tex]  > 0

∴ we get

t = 40 is point of minimum

So,

The minimum velocity be

v(40) = [tex]-\frac{40}{20}e^{-\frac{40}{20} } + e^{-\frac{40}{20} }[/tex]

      = [tex]-2e^{-2 } + e^{-2 }[/tex]

      = [tex]-e^{-2 }[/tex]

⇒v(40) = [tex]-e^{-2 }[/tex] units

∴ we get

The minimum velocity of the particle  = [tex]-e^{-2 }[/tex] units

Answer:

A because when you add the angles up it has to equal 180

Step-by-step explanation:

Answer:

A) ∠ABC and ∠DEF

Step-by-step explanation:

Supplementary angles add up to 180 degrees total. So if you take 180 and subtract 118 you get 62.

∠ABC = 62

∠DEF = 118

180 - 118 = 62

180 - 62 = 118

118 + 62 = 180

Answer:

3

Step-by-step explanation:

edge

Answer:

C. 3

Explanation:

edge 2020

Answer:

A and F

Step-by-step explanation:

Answer:

x = 32

Step-by-step explanation:

180 - 42 - 106 = x

x = 32

Answer:

take 121 subtract it from 180 and you get 59 so angle d is 59°. and angle b is 154°

Answer:

Well if it is 1 to 9 and you press it 4 times you will have 9 possible outcomes

Step-by-step explanation:

The number of possible outcomes when the button is pressed 4 times is; 81 outcomes

This is because the sample space includes odd numbers between 1 and 9 excluding 1 and 9.

Since number of possible choices for one press is 3,then for four presses, we will have;

3⁴ = 81 possible outcomes

Read more on probability outcomes at; https://brainly.com/question/25376712

Geometric sequence

-5 each term is multiplied by -5

Answer:

Step-by-step explanation:

To find the number of hours for each, divide the amount of money he had received by the amount he would receive for 1 hour of work. (Answers are in the image below) I hope I wasn’t too late to help:)

Answer:

the cost of 75 CD Roms is £12

Step-by-step explanation:

The computation of the 75 CD roms cost is shown below:

Since it is mentioned that

for 20 blank CD roms it cost £3.20

So for 75 CD Roms, the cost would be

= £3.20 × 75 ÷ 20

= £12

Hence, the cost of 75 CD Roms is £12

Answer:

About 80 necklaces have more than 28 beads.

Step-by-step explanation:

Answer:

A (0,8)

B (1,4)

C (2,2)

D (3,1)

Answer:

s + 1 = 2s

s = 1

Answer:

C

Step-by-step explanation:

Answer: -3x-5y

Step-by-step explanation:

Answer:

20 servings

Step-by-step explanation:

To find how many servings the bag would have, divide 5 by 0.25:

5/0.25

= 20

So, the bag would have 20 servings

Step-by-step explanation:

I hope this helps. Ans:41/16 alternate form: 2 9/16, 2.5625

If the rainfall was recorded on 36 (instead of 9) randomly selected days throughout the year, the standard error of the mean would be equal to 0.195 inches.

The standard error measures the variability or uncertainty in an estimate or statistic based on a sample. It is often denoted as SE or SE(θ), where θ represents a population parameter of interest.

Given that

the standard error of the mean, SE = 0.39 (when sample size,n = 9).

Let s be the standard deviation around the mean, then

Since SE = [tex]\dfrac{s}{\sqrt n}[/tex]

In this sample,

0.39 = [tex]\dfrac{s}{\sqrt9}[/tex]

s = 0.39 × 3

s = 1.17.

If the sample size is increased from 9 to 36,

SE = [tex]\dfrac{1.17}{\sqrt36}[/tex]

SE = [tex]\frac{1.17}{6}[/tex]

SE = 0.195 inches.

Thus, the standard error of the mean changes from 0.39 inches to 0.195 inches.

Learn more about Standard Error here:

https://brainly.com/question/13179711

#SPJ6

Answer:

x=1 must satisfy both equations.

Step-by-step explanation:

1)Y=X+4

2)Y=3X+2

IT Means x+4=3x+2

3x-x=4-2;

2x=2 ;  x=1 must satisfy both equations

Answer:

66

Step-by-step explanation:

dolars per hour

Answer:

3×[tex]10^{-6}[/tex]

Step-by-step explanation:

Hope it helps ;)

Answer:

3x10^-6

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. The sign of the exponent will depend on the direction you are moving the decimal.

Answer:66.3

Step-by-step explanation: