If {a_{n}} and {b_{n}} are geometric sequences with common ratios of r₁ and r₂, is {a_{n}b_{n}} a geometric sequence too? If yes, what is the common ratio?

Answers

Answer 1
Answer: a_{n+1}b_{n+1} / a_{n}b_{n} =( a_{n+1} /  a_{n}) * (  b_{n+1} /  b_{n} ) = ( r1 ) * ( r2) =>
{a_{n}b_{n}} a geometric sequence;  the common ratio is  ( r1 ) * ( r2) .

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What is 80 divided by 6?

Answers

80 divided by 6 is equal to 13, with 2 remaining.

We have,

To divide 80 by 6, we perform the division operation and determine the quotient.

When we divide 80 by 6, we can think of it as finding out how many times 6 can fit into 80.

Starting with the largest possible multiple of 6 that is less than or equal to 80, we see that 6 times 13 equals 78.

Since 78 is the largest multiple of 6 which is less than 80, we know that 13 is the largest whole number quotient we can obtain.

However, there is a remainder of 2 when we divide 80 by 6.

This means that after dividing as many times as possible, we have 2 left over.

Therefore, the result of dividing 80 by 6 is:

80 ÷ 6 = 13 with a remainder of 2.

Thus,

80 divided by 6 is equal to 13, with 2 remaining.

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13.33 with a little line over the last three. Which makes it known that it is continuous. Or the fraction answer.. 40/3!

Suppose you invest $1500 in equipment to put pictures on t-shirts. You buy each t-shirt for $3. After you have placed the picture on a shirt, you sell it for $20. How many t-shirts must you sell to break even?

Answers

The Answer that I got:

75 T-Shirts

Plan 1 . A flat rate of $7 per month plus $2.50 per video viewed Plan 2. $4 per video viewed What type of functions model this situation? Explain how you know?

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Answer:they are both linear because Their slopes are constant.

Step-by-step explanation:

Whats 0.00009999 closest to ?? 0,1/2,or 1 ?
Why

Answers

Well, for the third time in a row Kimberly (Haha jk), let's look at it by decimals. 0=0.00.....1/2=0.50.....1=1.00

0.00009999 would be closeset to 0 because it is the furthest away from the decimal point. The further you move away from the decimal point, the closer you get to zero.

You earn $420 per week. You pay social security taxes of 7.65%, federal taxes of 22%, and state taxes of 5.95%. What is your take home pay?

Answers

If you would like to know what is your take home pay, you can calculate this using the following steps:

social security taxes: $420 - 7.65% * $420 = 420 - 7.65/100 * 420 = $387.87
federal taxes: $387.87 - 22% * $387.87 = 387.87 - 22/100 * 387.87 = $302.54
state taxes: $302.54 - 5.95% * $302.54 = 302.54 - 5.95/100 * 302.54 = $284.54

Your take home pay would be $284.54.

You have 7 balls that are each a different color of the rainbow. In how many distinct ways can these balls be ordered?

Answers

To solve this question, use a factorial. This is a basic concept in permutations. The first ball can be placed into any of the 7 positions. The second can be placed in 6. The third can be placed in 5, and so on until there are no balls left. One easy way to solve this is to use 7!, or seven factorial. 7! = 7*6*5*4*3*2*1. The answer is 5,040 distinct ways.
Hope that answered your question.

Answer:

You have 7 balls that are each a different color of the rainbow. Then, the number of distinct ways in which these balls can be ordered will be given by 7!. 7! = 7*6*5*4*3*2 = 5040 ways. Thus, in 5040 ways, the number of balls can be put in distinct arrangements.

Step-by-step explanation:

In Short Term 5,040