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3 years ago

What decimal is the largest? 0.025 0.026 0.25 0.24

Mathematics

2 answers:

riadik2000 [5.3K]3 years ago

8 0

I think the answer is 0.026 because 26 is the biggest number

nasty-shy [4]3 years ago

3 0

0.25 is the largest decimal.
hope i helped;)

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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

Step by Step Explanation:

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 know $a_{1}+2 d=55$

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

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

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

$a_{1}=440+153 / 8$

$a_{1}=553 / 8$

First 20 terms of an AP

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

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

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

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

$a_{20}=-1801 / 16$

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

If y varies jointly with x and y=5 when x=15 and z=24 find y when x=6 and z=14

Scorpion4ik [409]

Answer:

if they vary together then y would be 2

Step-by-step explanation:

since they vary together 5 multiplied by 3 is 15 so you would divide 6 by 3 to get 2 the z is irrelevant because it has no relation to x or y

5 0

4 years ago

1. Leo is a self-employed framer. One month, his framing business had four contracts for

saul85 [17]

5000

Step-by-step explanation

this is LITERALLY so easy!!!!!!

6300+4100+1500+950=12850

12850-7850=5000

4 0

2 years ago

Find the product of 3a+5 and 2a^(2)+4a-2

Ilia_Sergeevich [38]

The answer is 6a3+22a2+14a−10
My steps:
(3a+5)(2a^2+4a−2)=(3a+5)(2a^2+4a+−2)=(3a)(2a^2)+(3a)(4a)+(3a)(−2)+(5)(2a^2)+(5)(4a)+(5)(−2)=6a^3+12a^2−6a+10a^2+20a−10=6a^3+22a^2+14a−10

6 0

4 years ago

Write the equation of the line that has a slope of -2 and a y-intercept of 5

andreev551 [17]

Answer:

y = -2x + 5

Step-by-step explanation:

y = mx + b,

where m = slope, and b = y-intercept

y = -2x + 5

8 0

3 years ago