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Answer:    V ( t ) = 1 + 1 4 e − 0 . 1 0 4 t 1 5 , 0 0 0 ​   ​  

The required value for the logistic function describing the scenario of the water tank being filled at a rate of 10.4% per minute.

The logistic function has the form:

[tex]f(x) = L / (1 + a \times e^{(-kx)})[/tex]

Where:

f(x) is the volume of the tank at time x

L is the maximum volume the tank can hold

a is a constant that determines the growth rate of the function

k is a constant that determines the rate at which the growth slows down as the tank approaches the maximum volume

In this case, the maximum volume of the tank is 15,000 gallons, so L = 15,000.

The pump fills the tank at a rate of 10.4% per minute, so k = 0.104.

To find the value of a, we need to solve the logistic equation for a given the values of f(x), L, and k.

We can rearrange the logistic equation to solve for a:

[tex]a = (1 / f(x)) - (1 / L) \times e^{(kx)}[/tex]

Substituting the known values into this equation, we get:

[tex]a = (1 / 1,000) - (1 / 15,000) \times e^{(0.104x)}[/tex]

This equation can be used to solve for the value of a for any given value of x (time). For example, if we want to know the value of an after 10 minutes, we can substitute x = 10 into the equation to get:

[tex]a = (1 / 1,000) - (1 / 15,000) \times e^{(1.04)}[/tex]

This gives us the value of a for the logistic function that describes the scenario of the water tank being filled at a rate of 10.4% per minute.

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Answer:

Step-by-step explanation:

The Egyptians calculated the area of a circle by a formula that gave the approximate value of 3.1605 for π. The first calculation of π was done by Archimedes of Syracuse (287–212 BC), one of the greatest mathematicians of the ancient world.

Answer:

π is a mathematical constant. Its commonly used value is 3.14. There is a expanded value for π. It appears in many formulas in all areas of mathematics and physics. In maths, it is commonly used for solving of circles and spheres.

The π was invented by Archimedes of Syracuse. He was one of the greatest mathematicians of the ancient world.

Answer:

7

Step-by-step explanation:

First you have to fined the unit rate

1,500/25= 60

Now your gonna do

300x60= 18,00

Answer:

All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.

Answer:

306

Step-by-step explanation:

v = 1/3bh

2×(18×11 + 18×9 + 11×9) / 3 = 918/3

= 306

hope this helps, mark brainliest if it did luv gl !

Answer:

Q=-27

Step-by-step explanation:

Answer:

The mean is 128.7

There is no mode

The median is 9

The range is 11.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

15(24/2)=$180

Answer:

Rational numbers can be expressed as a fraction

Squared 5 = 25

25 can be expressed as  a  fraction- 25/1, so d is correct.

Let me know if this helps!

5 squared is right im sorry i miss read it

Answer:

X= 20 or -5

Step-by-step explanation:

If Alyssa uses 4 ounces of flour to make pancakes each morning how long will it take her to use up a 6 pound bag is 24 days.

Using this formula

Number of days=Number of ounces×Number of pound bag

Where:
Number of ounces=4 ounces

Number of pound bag=6

Let plug in the formula

Number of days=4×6

Number of days=24 days

Therefore  how long will it take her to use up a 6 pound bag is 24 days.\]

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Given:

A recipe uses 4 pounds of rice and 5 quarts of boiling water.

To find:

The rate of rice to quarts of water for this recipe.

Solution:

We need to divide the amount of rice by amount of water to get the rate of rice to quarts of water for this recipe.

[tex]\text{Required rate}=\dfrac{\text{Rice in pounds}}{\text{Water in quarts}}[/tex]

[tex]\text{Required rate}=\dfrac{4}{5}[/tex]

[tex]\text{Required rate}=0.8[/tex]

Therefore, the  rate of rice to quarts of water for this recipe is 0.8.

Answer:

5000.00

Step-by Step

500.00-375.00 = 125.00

5000 x 2.5% = 125.00

375.00 + 125.00 = 500.00

Answer:

AB ≈ 4.41

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos25° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{4}{AB}[/tex] ( multiply both sides by AB )

AB × cos25° = 4 ( divide both sides by cos25° )

AB = [tex]\frac{4}{cos25}[/tex] ≈ 4.41 ( to the nearest hundredth )

Answer:

a=-b

Step-by-step explanation:

Or,

b=-a

Answer:

y=(-1/2)x-8

Step-by-step explanation:

Answer:

y=-1/2x - 8

Use desmos to help with these problems

Answer:

circumference = 31.4 milometers

Step-by-step explanation:

circumference = 5(2)(π)

circumference = 31.4 milometers

Answer:

The answer is 4) 69.08 m

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:

The total value of the 96 coins is 72.

Step-by-step explanation:

There are half coins of 1. 48 coins of 1. It is cost will be 48. And rest are of 50p. 48 coins of 50 p. Therefore it is cost will be 24. The total cost will be 48+24=72.

Answer:

It's the fourth one y=-1/6x+2/3

Step-by-step explanation:

Answer:

12 x 12 = 144 divided by 2 = 72, 72 is your answer formula of a triangle: BH x 1/2

Step-by-step explanation:

72 square cm

Answer:

-0.82 is closest to -1, and -0.28 is closest to -1/4

Step-by-step explanation:

you can start by converting all of them to a fraction or decimal:

-0.28 = -28/100 = -7/25 = -14/50

-0.82 = -82/100 = -41/50

-1/5 = -10/50

-4/5 = -40/50

-1 = -50/50

-1/4 = -12.5/50

Answer:

Inez ran the mile in 5 minutes and 20 seconds

Great had the fastest time.

Her mile was faster by 20 seconds.

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

The product of segment lengths is the same for the two chords.

  9(21) = x(27)

  x = 189/27 . . . . . divide by 27

  x = 7