What is the next term in the geometric sequence 16, –4, 1, –(1/4), … ?

Answers

Answer 1

Answer: $a_1=16;\ a_2=-4;\ a_3=1;\ a_4=-(1)/(4)\n\nq=a_2:a_1\n\nq=-4:16=-(1)/(4)\n\na_n=a_1\cdot q^(n-1)\n\na_n=16\cdot\left(-(1)/(4)\right)^(n-1)=16\cdot\left(-(1)/(4)\right)^n\cdot\left(-(1)/(4)\right)^(-1)\n\n=16\cdot\left(-(1)/(4)\right)^n\cdot(-4)=-64\cdot\left(-(1)/(4)\right)^n=(-4)^3\cdot\left(-(1)/(4)\right)^n=\left(-(1)/(4)\right)^(-3)\cdot\left(-(1)/(4)\right)^n\n\n=\left(-(1)/(4)\right)^(n-3)$

$a_5=\left(-(1)/(4)\right)^(5-3)=\left(-(1)/(4)\right)^2=(1)/(16)\n\na_6=\left(-(1)/(4)\right)^(6-3)=\left(-(1)/(4)\right)^3=-(1)/(64)\n\vdots$

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A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true?A. Feline Flavor has a lower unit price of $1.40/pound.B. Feline Flavor has a lower unit price of $1.30/pound.C. Kitty Kibbles has a lower unit price of $1.40/pound.D. Kitty Kibbles has a lower unit price of $1.30/pound.
Bob has some 10 lb weights and some 3 lb weights. Together, all his weights add up to 50 lbs. If x represents the number of 3 lb weights and y represents the number of 10 lb weights, which equation can be used to find the number of each type of weight Bob has?
How many significant figures does 0.0560
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At the register Annie notices her grocery bill was marked with $14 for the 7 pounds of meat she purchased. What is another wayof saying this ratio?

Answers

Answer:

2:1

Step-by-step explanation:

$2 for 1 pound of meat purchased

Answer:I think 2 Because if you have 7 and You add another its 14 so 2

Step-by-step explanation:Also can you make be braniest poss if not its ok :)

My cookbook says that a salad sauce should be made of 1/3 lemon juice and 2/3 oil.I put in 50 ml oil but my hand slipped when adding the lemon juice and the total volume is now 90 ml.
How much oil must I add to have the correct proportions?

A 10 ml B 30 ml C 40 ml D 80 ml

Answers

Answer:

We know that you put (90-50), or 40 ml of lemon juice. If 40 ml of lemon juice is 1/3 of the total sauce, then 80 ml of it should be oil.

So you should add 30 ml more oil to make it proportional.

Let me know if this helps!

Snow is falling at a rate of 2.5 inches per hour.At this rate, how long will it take 8 inches of snow to fall?

Answers

Answer:

It will take 3.2 hours for 8 inches of snow to fall.

Step-by-step explanation:

You can solve this be going "backwards".

You have 2.5 inches of snow falling per hour for x hours until you get 8 inches of snow, which can be represented like this:

2.5x=8 From here you being to solve by isolating x on one side of the equation. You would divide both sides by 2.5 to do this

2.5x=8

/2.5 /2.5

8 divided by 2.5 is 3.2 and you then get

x=3.2

It takes 3.2 hours for 8 inches of snow to fall

Final answer:

To find out how long it would take for 8 inches of snow to fall at a rate of 2.5 inches per hour, we simply divide the total distance (8 inches) by the speed (2.5 inches per hour), which results in approximately 3.2 hours.

Explanation:

On the question about how long it will take for 8 inches of snow to fall at a rate of 2.5 inches per hour, this is a straightforward problem of rates. We just need to divide the total amount of snowfall (8 inches) by the rate of snowfall (2.5 inches per hour). Therefore, Time = Distance / Speed

Time = 8 inches / 2.5 inches per hour = 3.2 hours.

Therefore, it would take approximately 3.2 hours for 8 inches of snow to fall at this rate.

Learn more about Rates here:

brainly.com/question/30354032

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Mike and Kate plan to save money for their wedding over a 20 month period. They will need to save $8,000 to help pay for the wedding. They set aside the same amount each month. After a year they saved $4,000. Mike and Kate know they must adjust their plan in order to meet their goal, so they came up with the following options:Option A: Stay with saving the same amount they've been saving each month but postpone the wedding 2 months.
Option B: Increase the amount of money they save each month by $80 from what they've been saving.
Which of the following is a true statement?
a.
Only option A will allow them to meet their goal.
b.
Only option B will allow them to meet their goal.
c.
Both options A and B will allow them to meet their goal.
d.
Neither option A nor option B will allow them to meet their goal.

Please select the best answer from the choices provided

A
B
C
D

Answers

D is the correct answer. Mike and Kate require $8000 for their wedding and have saved $4000 already, so they need a further $4000. They have saved the money over 12 months, which means they have been saving $333.33 every month (4000/12). In Option A they have 10 months to save money - the original 8 months, plus the 2 months the wedding is postponed. This will give them the chance to save $3333.33 (333.33 x 10). In Option B, they can increase their monthly savings by $80, giving them total monthly savings of $413.33 (333.33 + 80). In the remaining 8 months before the wedding, they will be able to save $3306.66 (413.33 x 8). However, neither of these options give them the $4000 required to make their $8000 budget.

Answer:

Step-by-step explanation:

The sides of a square are two to the power of four ninths inches long. What is the area of the square?two to the power of the fraction sixteen over eighty one square inches

four to the power of the fraction sixteen over eighty one square inches

two to the power of eight ninths square inches
four to the power of eight ninths square inches

Answers

Given:
sides of a square = 2^4/9

Area of a square = a²
A = (2^4/9)²
A = 2^ 4/9*2/1
A = 2^8/9

two to the power of eight ninths square inches

Six more than three times a number is less than or equal to 96.

Answers

3x+6≤96
three x plus six is less than or equal to 96.

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