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3 years ago

Given the sequence 4,16,64

Mathematics

1 answer:

umka2103 [35]3 years ago

4 0

A. Geometric

b. a curve sloping steeply upwards (exponential)

c. nth term an = a1r^(n-1)

nth term = 4(4)^(n-1)

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Isaac keeps track of the miles per gallon his car gets per week. He has accumulated the following data:

ipn [44]

we know that

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant

Let

$a1=24 \ a2=24.48\ a3=24.97\ a4=25.47$

$\frac{a2}{a1} = \frac{24.48}{24}= 1.02$

$a2=a1*1.02$

$\frac{a3}{a2} = \frac{24.97}{24.48}= 1.02$

$a3=a2*1.02$

$\frac{a4}{a3} = \frac{25.47}{24.97}= 1.02$

$a4=a3*1.02$

therefore

The common ratio is equal to $1.02$

the answer is

The common ratio is 1.02

4 0

2 years ago

Read 2 more answers

How can you prove that corresponding parts of congruent triangles are congruent?

maksim [4K]

Answer:

You can tell by using the degrees of the angles and the lengths of the sides, congruent triangles will have the same angle measures and same side lengths where as similar triangles will have the same angle measures but different side lengths.

Step-by-step explanation:

4 0

2 years ago

The temperature changed from 7°F at 6 p.M to -5°F at midnight. What was the difference between the high and low temperatures? Wh

IgorC [24]

Answer:

12 °F

2°F per hour

Step-by-step explanation:

The difference can be found by substracting:

7°F-( -5 °F)

=12 °F

To find the average change in temperature per hour, divide by how many hours between 6 to midnight. Between 6 to midnight is 6 hours.

12°F / 6 hours

= 2°F/ hour

7 0

2 years ago

Felicity's dog eats two cups of dog food per day. Felicity's dog eats at least one-quarter cup more than one-half of the amount

cupoosta [38]

Answer:

2 > $\frac{1}{2} m + \frac{1}{4}$

Step-by-step explanation:

Given:

Felicity's dog eats two cups of dog food per day :2

If the amount of food that Martin's dog eats is represented by using m

Felicity's dog eats at least one-quarter cup more than one-half of the amount Martin's dog eats: $\frac{1}{2} m + \frac{1}{4}$

So we have the inequality represents the situation is:

2 > $\frac{1}{2} m + \frac{1}{4}$

4 0

2 years ago

Read 2 more answers

Complete the equation of the line through (-8,-2)(-4,6) use exact numbers

Firdavs [7]

Answer:

y = 2x + 14

Step-by-step explanation:

Hope this helps!!!

First, you have to find the slope by using

In other words,

The slope is 2.

Then you plug the rest into point-slope form (you can use either of the points, I used the first one)

Remember that m is the slope.

Distribute the slope to the parenthesis

Isolate the y variable

6 0

2 years ago