Does anyone know how to solve a shape like this?

Answers

Answer 1

Answer: (n - 2) * 180°

= (5 - 2) * 180°

= 5 * 180°

= 900°

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Which is bigger 5/8 or 7/12

Answers

5/8=0.625

7/12=0.583......

5/8 is bigger as ive put both into a decimal as it is easier to tell

5/8 and 7/12
15/24 14/24
15 is greater than 14

What is 12,925 to the nearest ten thousand

Answers

To the nearest ten thousand. I believe 12 is closer to 10 so if you had to say the answer it would be ten thousand.

12,925 is closest to 10,000 because in the thousands place there is a 2 and since 2 is lesser than 5 you round down which gives you 10,000.

What is the difference between.....

Answers

Taking first summation ∑(1+3n) first

First see few terms of this series. To get first term plug n =0 in 1+3n

So for n =0, $a_(1) = 1 + 3(0) = 1+0 =1$

similarly for next term plug n =1

For n = 1, $a_(2) = 1 + 3(1) = 1+3 = 4$

For n =2, $a_(3) = 1 + 3(2) = 1+6 = 7$

So on ,........and last term will be for n =4

For n =4, $a_(5) = 1 + 3(4) = 1 + 12 = 13$

So we get terms as 1,4,7,.. with constant difference of 3 between succesive terms. So its arithemetic series. Sum formula for arithmetic series is

$S_(n) = (n(a_(1) + a_(n)))/(2)$

where n is total number of terms, $a_(1)$ and $a_(n)$ are first and last term in series

So here n = 5 ( as n is from 0 till 4). so plug value of n as 5, $a_(1)$ as 1 and $a_(5)$ as 13 in sum formula

$S = (5(1 + 13))/(2)$

$S = (5(14))/(2) = (70)/(2) =35$

So sum of first series is 35

Similarly find sum of second series. Plug i values in 3i-5 as shown and find few terms in series

for i =2, $a_(1) = 3(2) - 5 = 6 - 5 = 1$

for i =3, $a_(2) = 3(3) - 5 = 9 - 5 = 4$

so on .... and for last term plug i as 6

for i =6, $a_(5) = 3(6) - 5 = 18 - 5 = 13$

So for sum we will plug n as 5 ( i =2,3,4,5,6 so total 5 terms), then plug $a_(1)$ as -2 and $a_(5)$ as 13 in sum formula

$S = (5(1 + 13))/(2) = (5(14))/(2) = (70)/(2) =35$

So sum of second series is also 35

So difference between sums of both series will be 35-35 =0

Final answer here is 0

What is 4 raised to the power of 2

Answers

Your answer is 16.
4 raised to the power of 2= 4 times 4

4 to the power of two is: 4*4=16

What is the domain and range of each function?1. x- 3,5,7,8,11 y- 6,7,7,9,14

2. x- -3, -1, 2, 5, 7 y- 9, 5, 4, -5, -7

Answers

Answer:

1. Domain: (3, 5, 7, 8, 11)

Range: ( 6, 7, 9, 14)

2. Domain: (-3, -1, 2, 5, 7)

Range: (-7, -5, -4, 5, 9)

Step-by-step explanation:

The domain is the set of all x values in the function. The range is the set of all y values in the function. It is written in parenthesis from least to greatest. Do not repeat values even if the function has them more than once.

1. Domain: (3, 5, 7, 8, 11)

Range: ( 6, 7, 9, 14)

2. Domain: (-3, -1, 2, 5, 7)

Range: (-7, -5, -4, 5, 9)

Are the fractions 3/9,3/10,3/11, and3/12 arranged in order from least to greatest or from greatest to least?

Answers

Greatest to least 3/9= 1/3 and 3/12 is = to 1/4.

The fractions are arranged from greatest to least