Determine whether the sequence converges or diverges. If it converges, give the limit. 108, -18, 3, negative one divided by two, ...

Answers

Answer 1

Answer: Hello:
(3)/(-18) =(-18)/(108)= (-1)/(6)
the sequence is géometric when : q= (-1)/(6)
un = u1 × q^(n-1)
un = 108 × ((-1)/(6))^(n-1)
(un) converges to : 0 1 >q>-1

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Multiply: (4x – 7)(2x – 9)

Answers

Hello there!

Let's use foil.

First: 4x * 2x = 8x^2

Outside: 4x * -9 = -36x

Inside: -7 * 2x = -14x

Last: -7 * -9 = 63

Now, let's combine these.

8x^2 - 36x - 14x + 63

Finally, we can simplify this

8x - 50x + 63

I hope I helped!

Let me know if you need anything else!

~ Zoe

Which is equal to 7/25? 0.70 0.70 0.28 0.28 0.07 0.07 0.35 answer

Answers

Answer:

0.28

Step-by-step explanation:

7/25 is 0.28, you can do this on a calculator OR

25*4=100, that will get you the decimal when you do 7*4 and get 28, then turn it back into a decimal by dividing by 100

Jean Marie has $4,000 in the bank, $500 worth of credit card debt and a $15,000 student loan. Jean Marie would like to know her net worth. She finds the difference between her assets, $4,500, and her liabilities, $15,000, and determines her net worth is -$10,500. Evaluate Jean Marie's determination.- Her calculations are correct.
- She counted a liability as an asset.
- She counted an asset at a liability.
- Her answer should be positive.

Answers

4,000 in bank -500 and 15000 so she had -20000 +4000 so it equals -16000

What is the formula for the area of a rectangle?

Answers

The formula for the area of a rectangle is multiply length x width.

Answer:

LENGTH TIMES WIDTH TIMES HEIGHT

Step-by-step explanation:

How many triangles exist with the given side lengths?12 in, 15 in, 18 in
A) No triangle exists with the given side lengths.
B) Exactly one unique triangle exists with the given side lengths.
C) More than one triangle exists with the given side lengths.

Answers

According to triangle inequality theorem, “The sum of the length of two sides of a triangle should be greater than the third side”. In order to verify the mentioned theorem, some calculations are performed below.

12 + 15 > 18

15 + 18 > 12

12 + 18 > 15

As the triangle inequality theorem satisfied, so there is only one triangle possible with the given sides length. No more than one triangle is possible, because the angles are not given, and the sides length are fixed.

So option “B” is correct.

Answer:

it is b

Step-by-step explanation:

For each group of three forces below, determine whether the forces in each pair are pulling at right angles to each other.A. 12 lb, 13 lb, resultant force 19 lb, yes; 15 lb, 36 lb, resultant force 39 lb, yes

B. 12 lb, 13 lb, resultant force 19 lb, no; 15 lb, 36 lb, resultant force 39 lb, yes

C. 12 lb, 13 lb, resultant force 19 lb, yes; 15 lb, 36 lb, resultant force 39 lb, no

D. 12 lb, 13 lb, resultant force 19 lb, no; 15 lb, 36 lb, resultant force 39 lb, no

Answers

To condition in which we can justify if the forces are pulling at right angles to each other is that the sum of the squares of the two lesser number should be equal to the square of the third number.

For the first set: 12 lb, 13lb, 19lb.

12^2 + 13^2 ≠ 19^2

For the second set: 15 lb, 36 lb, 39 lb

15^2 + 36^2 = 39^2

The first pair of forces do not pull at a right angle while the second do.
Thus, the answer is letter B.

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