Which of the following is true regarding the solutions to the logarithmic equation below?

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:

5832

Step-by-step explanation:

54+27=81x72=5832

Answer:

y=(-1/2)x-8

Step-by-step explanation:

Answer:

y=-1/2x - 8

Use desmos to help with these problems

Answer: D. Point A

Step-by-step explanation:

It is the solution because it falls on the point where the lines intersect and since they intersect they can have only one solution

Answer:

isn't it just point A (answer choice D) because, like other person said, the two lines intersect at point A?

Step-by-step explanation:

correct me if I'm wrong

Answer:

-48 ; - 16

Step-by-step explanation:

Given the expression :

X /4 = - 12

Multiply both sides by 4

X/4 * 4 = - 12 * 4

X = - 48

For the second :

X/2 = - 8

Multiply both sides by 2

X/2 * 2 = - 8 * 2

X = - 16

Answer:

x= -7

Step-by-step explanation:

-4x - 36 = -8

-4x = - 8 + 36

-4x= 28

x= 28/-4

x= - 7

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

Answer:

21x square units

Step-by-step explanation:

length times width = area

3 * 7x = 21x

Answer:

The change in temperature from 15 degrees to -9 degrees is 24 degrees.

Step-by-step explanation:

Pls mark brainliest if im right. Sorry if im wrong tho. :/

Answer:

segments EA and DG

Step-by-step explanation:

A diameter is when a line segment crosses the center of the circle and its endpoints lie on the circle. Both segments EA and DG satisfy the definition of a diameter.

Answer:

EA and DG

Step-by-step explanation:

For it to be a diameter, it has to pass through the center (point H) and touch both sides of the circle.

The ones that work for that are EA and DG

Answer:

The Answer is 5/9 in the simplest form.

Answer:

Area of circle: 1662.57 cm

Circumference of circle: 144.57 cm

Step-by-step explanation:

Formula of area of circle:

pi x r2 or radius x radius

So, it's 22/7 x 23 x 23 = 1662.571429

Formula of circumference of circle:

2 x pi x radius OR

pi x diameter

Let's use the second method, to find diameter it is radius x 2 = 46

So,

46 x 22/7 = 144.5714286

Answer:

The radius of the circle is 3.5 inches.

Step-by-step explanation:

The radius is half the diameter:R= 1/2 d

Substitute the value of d (7 inches) in the formula to find r:

r= 1/2 x 7 in

r= 3.5 in

Answer:

3.5 inches should be the answer.

Answer:

6(x+4)

Step-by-step explanation:

The GCF is 6 thus factor the expression

The given expression 6x + 24 can be factored using the GCF as 6(x + 4).

Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).

The expression is given in the question as:

6x + 24

The expression 6x + 24 can be factored using the greatest common factor (GCF) as follows:

⇒ 6x + 24 = (6x + 24) / 6 × 6

The GCF of 6x + 24 is 6, so we can divide both terms by 6 to get:

⇒ 6x + 24 = (x + 4) × 6

We can then factor out the common factor of 6 to get:

⇒ 6x + 24 = 6(x + 4)

Thus, the given expression 6x + 24 can be factored using the GCF as 6(x + 4).

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Answer:

Yes

Step-by-step explanation:

Trust me bro.

Answer:

Step-by-step explanation:

sin58=h/20

h=20sin58

h=17.0 ft

Answer:

45.84

Step-by-step explanation:

hope that helps

The area of the circle is equal to 144π square inches.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

Given that the circumference of a circle is 24π in. The area of the circle is calculated by the formula given below,

Area of circle = πr²

Circumference of the circle = 24π

2πr = 24π

r = 12

The area of the circle will be calculated as:-

Area = πr²

Area = π x ( 12 )²

Area = 144π square inches.

Hence, the area is 144π square inches.

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Answer:

1) not possible 2)f(x)=-2y+2 3)4

Step-by-step explanation:

2x-3=2x-16

Answer:

18.3505

Step-by-step explanation:

Answer:

4.18 × 10^ 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

I am assuming that number began with a decimal point.

Count how many places the decimal must move to the right to get past the 4, in this case the decimal must move 5 places. This means you are multiplying by 10^5. So the number in scientific notation becomes

4.18X10^(-5)

Answer:

y doesn't equal -5x-8

Step-by-step explanation:

-10x - 2 (-5x-8) = 16

-10x + 10x +32 =16

32=16? wrong

Answer:

2

Step-by-step explanation:

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

Skills needed: Fraction Subtraction, Least Common Denominator (LCD)

1) [tex]\frac{6}{8} - \frac{2}{6} - \frac{1}{4}[/tex] is the operation you would do.

--> You would do this because, Carlotta has [tex]\frac{6}{8}[/tex] of the paper left, and does one fraction amount ([tex]\frac{2}{6}[/tex]) on Saturday & does another fraction amount ([tex]\frac{1}{4}[/tex]) on Sunday.

-->  Using subtraction is the best way

2) Now, we need to figure out the Least Common Denominator for all 3 fractions.

8,6,4 are the denominators.

The lowest number that is a factor of all them is 24.

So, it would then become [tex]\frac{18}{24} - \frac{8}{24} - \frac{6}{24}[/tex]

This would become: [tex]\frac{18-8-6}{24}[/tex] (18-8-6 = 4)

So then: [tex]\frac{4}{24}[/tex] is your answer.

This simplifies into [tex]\frac{1}{6}[/tex].

Hope this helps and have a nice day!! :) :]

Answer:

No, the given set of pairs does not represent a function

Step-by-step explanation:

For a set of values to be a function, each input must have one and only one output value

Now, for the given set, we can note that:

The input -13 has two output values; 4 and 9

Therefore, this set is not a function

Hope this helps :)

Answer:

PC=9

Step-by-step explanation:

A²+B²=C²

4²+8.1²=C²

16+65.61=C²

81.61=C²

≈81=C²

PC=9

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:

B; 2.5x + 45 = 62.5

Step-by-step explanation:

Since the current height is 62.5, and the starting height is 45, then all you have to do is subtract 45 from 62.5, then divide that by 2.5 to get your answer, which should be 7 years.

Hopefully this helps- let me know if you have any questions!

Answer: 56

Step-by-step explanation: