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3 years ago

Re-posting because I need help.. Please help and show how you got the answer..

Mathematics

1 answer:

Nesterboy [21]3 years ago

8 0

Answer:

Explicit: -2*2^(n-1)

Recursive: 2*aₙ₋₁

Step-by-step explanation:

To write a explicit formula for this geometric sequence you follow the following formula/template

Firstnumber*commonratio^(n-1)

Seeing that the common ratio is 2 we can start plugging numbers in and get

-2*2^(n-1)

For a recursive formula we follow the following template

common ratio * the n-1 term

So we could write this as

2*aₙ₋₁

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What is five percent of 150

3241004551 [841]

7.5 .. multiply .05 times 150

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3 years ago

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a car traveling at a constant speed travels 175 miles in 4 hours? How many minutes will it take for the car to travel 1000 feet?

liubo4ka [24]

Answer:

0.26 minutes

Step-by-step explanation:

So if you want to solve this, you need to make all the units the same first. What you first need to work on is the rate, since what it is asking is minutes given distance in feet.

We know that there are:

5280 ft in a mile

60 minutes in an hour

We then convert the rate knowing this:

$\dfrac{174\:miles}{4\:hours}\times\dfrac{5280ft}{1\:mile}\times\dfrac{1hour}{60\:minutes} = \dfrac{918,720ft}{240\:minutes} = \dfrac{3828\:feet}{1 minute}$

In short, the car is traveling 3,828 ft every minute.

To determine how many minutes it will take for the car to travel just remember that:

$speed=\dfrac{distance\:travelled}{time}\;\rightarrow\;time=\dfrac{distance\;travelled}{speed}$

Now we plug in what we know and solve what we don't know:

$time=\dfrac{1000feet}{\dfrac{3828ft}{1minute}}\;\rightarrow\;1000ft\times\dfrac{1\:minute}{3828ft}=0.26\:minutes$

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3 years ago

1. what is 10% of 20? 2.What is 5% of 10?

Airida [17]

Hello,

Shall we begin?

1. what is 10% of 20? = 20 * 0.1 = 2
2.What is 5% of 10? = 10 * 0.05 = 0,5
3. What is 25% of 100? = 100 * 0,25 = 25
4. What is 15% of 50? = 50 * 0.15 = 7,5
5. What is 30% of 60? = 60 * 0,3 = 18
6. What is 50% of 80? = 80 * 0,5 = 40
7. What is 20% of 120? = 120 * 0,2 = 24
8. What is 35% of 70? = 70 * 0,35 = 24.5
9. What is 75% of 150? = 150 * 0,75 = 112.5
10. What is 60% of 90? = 90 * 0,6 = 54
11. What is 40% of 40? = 40 * 0,4 = 16
12. What is 55% of 110? = 110 * 0.55 = 60.5
13. What is 80% of 130? = 130 * 0,80 = 104

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3 years ago

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6% of it is 27<br> I need help. Someone please give me a explanation of how to do this.

Ghella [55]

Answer:

You take 6% of a number and the resulting number is 27.

To do this you need to change the percent into a fraction.

6% = 6/100

This is the number you need to multiply to the number you need to find, A.

6/100 A = 27

Solve for x

6 A = 27x100

A= 2700/6

A = 450

Check your answer:

6/100 (A) = 27

6/100 (450) = 27

(6x450) /100 = 27

2700 / 100 = 27

27 = 27

Step-by-step explanation:

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3 years ago

Hello everyone, I have this question. Please help me.

kobusy [5.1K]

Answer:

7 reservoirs

Step-by-step explanation:

1 yards = 3 feet => 3.5 yards = 10.5 feet

To determine how many numbers of reservoirs to reserve 90000, we first need to determine the capacity of each reservoirs (how much liquid one reservoir can contain) - which is equal to the volume.

The formula to calculate the volume of a circular cylinder is:

- <em>Volume of cylinder = Area of base x Height </em>

<em />

The base of this cylinder is a circle with radius equal to 4 feet. ( $\pi = 3.14$ )

=> The are of the base is = $\pi *radius^{2}$ = 3.14 x 4^2 = 50.24 feet square

=> The volume of cylinder = Area of base x Height

=> The volume of one cylinder = 50.24 x 10.5 = 527.52 Cubic foot

We have: 1 cubic foot = 28.317 liters

=> 1 liter = 1/28.317 cubic foot

=> 90000 liters equal to: 90000/28.317 = 3,178.303 cubic foot

The number of reservoirs needed to contain 90000 liters of liquid is:

3,178.303/527.52 = 6.025

=> So that it needs 7 reservoirs to store all 90000 liters of liquid.

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3 years ago