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Nadusha1986 [10]
2 years ago
11

4) An arithmetic sequence has a 7th term of 54 and a 13th term of 94. Find the common difference

Mathematics
1 answer:
san4es73 [151]2 years ago
6 0

Answer:

20/3

Step-by-step explanation:

Every nth term takes the form of  a + n*d, where a is the first  term.

So 7th term = (54 = a + 7d), 13th term = (94 = a + 13d).

equate them both:

94 - 13d = 54 - 7d

40 = 6d

d = 40/6

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#10 AH IM STUCK ON THIS ITS HARD HELP
Dafna11 [192]

Answer:

4.8 in

Step-by-step explanation:

feet to inch conversion is *12

2 * 12 = 24

then divide the scale (for every 1 in on the model there is 5 in on the actual, so divide the actual value by 5)

24/5 = 4.8

your answer is 4.8 in

hope this helps:)

6 0
1 year ago
The distance d traveled at a constant speed r is directly proportional to the time t spent traveling. a car moving at a constant
svet-max [94.6K]
150/2.5=x/6 is the proportion
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2 years ago
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An arc on a circle measures 250 degrees. Within range which range is the radian measure of the central angle?
blondinia [14]

If the arc measures 250 degrees then the range of the central angle lies from π to 1.39π.

Given that the arc of a circle measures 250 degrees.

We are required to find the range of the central angle.

Range of a variable exhibits the lower value and highest value in which the value of particular variable exists. It can be find of a function.

We have 250 degrees which belongs to the third quadrant.

If 2π=360

x=250

x=250*2π/360

=1.39 π radians

Then the radian measure of the central angle is 1.39π radians.

Hence if the arc measures 250 degrees then the range of the central angle lies from π to 1.39π.

Learn more about range at brainly.com/question/26098895

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8 0
1 year ago
Your housing and fixed expenses are $702.38 per month do you want to have a four month emergency fund and save it over a nine mo
MrMuchimi

Answer:

For Review: Planning Ahead and Contracts Quick Check... these are the answers...

1) B. Yes, you want to begin saving at least 25 years before you plan to retire

2) D. all of the above

3) $2,341.27 per month realized income

4) Your housing and fixed expenses are $702.38 per month do you want to have a four month emergency fund and save it over a nine month period of time how much do you need to save per month?

Answer #4) $312.17 /month

Step-by-step explanation:

702.38 * 4 = 2,809.52 How much you will need to save for 4 months worth or expenses.

Now divide by 9 because that is how many months you will take to save up...

2,809.52 / 9 = 312.17

Answer) $312.17 per month, for 9 months to save 4 months worth or expenses.

8 0
3 years ago
Determine whether the series is convergent or divergent. [infinity] n = 1 1 n√9 the series is a ---select--- p-series with p =
inna [77]

The series is a convergent p-series with p = 3

<h3>How to know it is a divergent or a convergent series</h3>

We would know that a series is a convergent p series when we have ∑ 1 np. Then you have to be able to tell if the series is a divergent p series or it is a convergent p series.

The way that you are able to tell this is if the terms of the series do not approach towards 0. Now when the value of p is greater than 1 then you would be able to tell that the series is a convergent series.

The value of \sqrt{9}= 3

The formular for this is

∑\frac{1}{n^p} \\

where n = 1

we know it is convergent because p is greater than 1. 3>1

Read more on convergent series here:

brainly.com/question/337693

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6 0
1 year ago
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