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nirvana33 [79]
3 years ago
5

order the numbers from least to greatest

Mathematics
1 answer:
Nuetrik [128]3 years ago
7 0

Answer:

-7/3 < -3/4 < 0.5 < 2/3 < 1.2

Step-by-step explanation: Heres your answer. Sorry if its wrong.

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Find the sum of the first 20 terms of an arithmetic progression of which the third term is 55 and the last term is -98
ryzh [129]

The sum of first 20 arithmetic series S_{20}=\frac{-3475}{16}

Given:

Arithmetic series for 3rd term is 55

Arithmetic series for 7th term is -98

To find:

The sum of first 20 Arithmetic series

<u>Step by Step Explanation: </u>

Solution:

Formula for calculating arithmetic series

Arithmetic series=a+(n-1) d

Arithmetic series for 3rd term a_{3}=a_{1}+(3-1) d

a_{1}+2 d=55

Arithmetic series for 19th term is

a_{19}=a_{1}+(19-1) d=-98

a_{19}+18 d=-98

Subtracting equation 2 from 1

\left[a_{19}+18 d=-98\right]+\left[a_{1}+2 d=55\right]

16d=-98-55

16d=-153

d=\frac{-153}{16}

Also we knowa_{1}+2 d=55

a_{1}+2(-153 / 16)=55

a_{1}+(-153 / 8)=55

a_{1}=55+(153 / 8)

a_{1}=440+153 / 8

a_{1}=553 / 8

First 20 terms of an AP  

a_{n=} a_{1}+(n-1) d

a_{20}=553 / 8+19(-153 / 16)

a_{20}=553 / 8+19(-153 / 16)

a_{20}=\{553 * 2 / 8 * 2\}-2907 / 16

a_{20}=[1106 / 16]-[2907 / 16]

a_{20}=-1801 / 16

Sum of 20 Arithmetic series is

S_{n}=n\left(a_{1}+a_{n}\right) / 2

Substitute the known values in the above equation we get

S_{20}=\left[\frac{20\left(\left(\frac{558}{8}\right)+\left(\frac{-1801}{16}\right)\right)}{2}\right]

S_{20}=\left[\frac{\left.20\left(\frac{1106}{16}\right)+\left(\frac{-1801}{16}\right)\right)}{2}\right]

S_{20}=10 \frac{(-695 / 16)}{2}

S_{20}=5\left[\frac{-695}{16}\right]

S_{20}=\frac{-3475}{16}

Result:

Thus the sum of first 20 terms in an arithmetic series is S_{20}=\frac{-3475}{16}

7 0
3 years ago
5.Divide: 15u20-------3u5 not a minus by the way​
GREYUIT [131]

Answer:

Step-by-step explanation:

\frac{15u^{20}}{3u^5}=5u^{20-5}=5u^{15}\\

5 0
3 years ago
Function h gives the height of a tennis ball, in feet, t seconds after it is tossed straight up in the air. The equation h(t) =
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A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output
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What is 72 divided by 3,816
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72 divided by 3,816 will give you a lengthy decimal. To the nearest hundredth, the answer is 0.02
6 0
4 years ago
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Create your own GCF word problem with 3 numbers
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