An arithmetic sequence has first term a The 4th term of the sequence is ka, The 7th term of the sequence is 9a. Find the value of k​

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:

Yes

Step-by-step explanation:

Trust me bro.

Answer:

Step-by-step explanation:

sin58=h/20

h=20sin58

h=17.0 ft

107/6

Step-by-step explanation:

3x+1+3x=108

6x=108-1

6x=107

x=107/6

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:

V

Step-by-step explanation:

Answer:

If they scored 8 touch downs then the answer would be 48 points.

Explanation: 8x6=48

Answer:

2

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

Answer:

Division

Step-by-step explanation:

here's your process

=>. it is your equation 17b = 54

=> now divide 17 on both side

=> then we get 17b/17 = 54/17

=> hence , we get b = 54/17

=>now b is isolated by the method of division

hope it helps

Answer:

<A= 60 degrees

Step-by-step explanation:

Since cosA=0.5, we can take the inverse cos of 0.5 to get 60 degrees.

Hope this helped!

Answer:

a=-b

Step-by-step explanation:

Or,

b=-a

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:

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:

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:

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:

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 !

i send u a picture of how i solve it. i hope this can help u

Answer:

y=(-1/2)x-8

Step-by-step explanation:

Answer:

y=-1/2x - 8

Use desmos to help with these problems

Answer:

mode is 0 shshshshsbsbsbbsnsnsnsjsnsns

Answer:

Mode 34,700

Median 35,750

Mean 35,150

Answer:

7

Step-by-step explanation:

450-100=350

350/50=7

7 months

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:

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

Step-by-step explanation:

2x-3=2x-16

Answer:

21x square units

Step-by-step explanation:

length times width = area

3 * 7x = 21x