Uniforms are sold in packages of 8. The stores 127 employees will each be given 3 uniforms. How many packages will the store nee

Answer:

The 10th term in the geometric progression is 29.

Step-by-step explanation:

Given: In a geometric series, [T3 = 18] and [T6 = 486].

To find: The term [T10]?

Solution:

A geometric sequence takes the form [a, ar, ar^2,...]

Where, a represents the first term, and r denotes the common ratio.

The nth term is expressed as [Tn = a * r^(n-1)]

From the information provided: [T3 = a * r^2 = 18]

And [T6 = a * r^5 = 486]

By dividing the second equation by the first:

[(a * r^5) / (a * r^2)] = 486 / 18

[r^3 = 27]

Taking the cube root provides: r = 3.

Inserting r into one of the equations allows us to solve for a.

Substituting r gives: [T3 = a * r^2 = 18]

Thus, the first term is a = 2, and the common ratio is r = 3.

The 10th term in the geometric progression is computed as:

[T10 = a * r^(10-1)]

[Thus, T10 = 29.]

The factors of 36 include: 1, 2, 3, 4, 6, 9, 12, 18, 36.
For 34, the factors are: 1, 2, 17, 34.
The factors of 22 are: 1, 2, 11, 22.
The greatest common factor (GCF) is 2.

<span>Starting with the equation f = v + at

Subtract v on both sides:

f - v = at

Divide both sides by a:

(f - v) / a = t

Swap the sides:

t = (f - v) / a

</span>

<span>The accurate answer is "<span>The experimental probability is 1/15 lower than the theoretical probability."

The attached table illustrated in the image indicates that the theoretical probabilities are: 2/5 for drawing a Jack, 4/15 for a Queen, and 1/3 for a King, based on the frequency of each card in the set.
</span>
</span>

Answer:

5.25ft below the waterline

Step-by-step explanation:

1. I entered the given equation into a graphing calculator (I use Desmos) and substituted "t" with "x" since it’s easier that way.

2. A graph appeared. To find the initial position of the paddle, I checked where it was at t=0, which is the y-intercept. It shows it’s at -5.25, indicating it sits 5.25 below the surface of the water.