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3 years ago

405, 397,389, ... Find the 31st term.

1 answer:

5 0

157
Explanation:
The pattern seems to have a difference of 8 between each number. Thus, 8 x 31 is 248. The starting term, 405 is the subtracted by 248. Then the 31st term is found which is 157.
Hope this helped. :)

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If tñ=2ñ+3, find S10

Allisa [31]

Answer:

$S_{10}=280$

Step-by-step explanation:

Given that,

$t_n=2n+3$ ...(1)

We need to find the value of $S_{10}$ .

Put n = 1 to find the first term.

$t_1=2(1)+3=5$

Put n = 2 to find the second term.

$t_2=2(2)+3=7$

Put n = 3 to find the third term.

$t_3=2(3)+3=9$

Put n = 10 to find the tenth term.

$t_{10}=2(10)+3=23$

It means we need to find the sum of 5,7,9,.....,23.

The formula for the sum of n terms is given by :

$S_=\dfrac{n}{2}(a+a_n)$

We have, n = 10, a = 5 and $a_n=23$

So,

$S=\dfrac{10}{2}(5+23)\\\\S_{10}=10\times 28\\\\=280$

So, the value of $S_{10}$ is equal to 280.

3 0

3 years ago

Which statement about g(x) = x^2 - 576 is true?

Zina [86]

Answer:

The second option.

Step-by-step explanation:

Let's see if this will work.

(x+24)(x-24)

Let's open the brackets

x^2 - 24x +24x - 576

= x^2 - 576

Please give brainliest

I hope you understand. If you don't. Please, leave a comment below.

7 0

3 years ago

Two vectors beginning at the same vertex of a triangle are 〈2,3〉 and 〈-3,2〉. Choose the correct classification of the triangle.

Elena-2011 [213]

It will be right angle triangle. The two vectors beginning at the same vertex of a triangle are <2,3> and <-3,2> is classified as right-angled triangle. It is classified as a right-angled triangle because the dot product of the vectors are 0.

5 0

3 years ago

The gift shop is having a sale. your friend sells half her stock of keyrings every hour. she has 24 boxes at the start of the sa

Bingel [31]

To solve for the given problem above:

Let x be the number of boxes left after 3 hours

3 * ½ X = 24

3/2 X = 24

X = 24 * 2/3

X = 16

The correct answer is 16.

3 0

3 years ago

Read 2 more answers

Kurt says factors and multiples are

maxonik [38]

Step-by-step Explanation:

Before heading towards the solution, you need to make sure how multiple and factors are related to each other.

The multiple of a number could be obtained by multiply it with another number.

For example, the first five multiples of 12 are 12, 24, 36, 48 and 60

1 X 12 = 12
2 X 12 = 24
3 X 12 = 36
4 X 12 = 48
5 X 12 = 60

Factors are the numbers that are multiplied to get a given number.

For example,

1 X 12 = 12
2 X 12 = 24
3 X 12 = 36

The factors of 12 are 1, 2, 3, 4, 6 and 12.

As division and multiplication can be used to find factors and multiples.

For example a whole number is a multiple of its factors.

Let w = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20} be the set of even wholes numbers from 2 to 20.

As 2 is a factor of 20 because 20 ÷ 2 = 4

20 is a multiple of 2 because 2 X 10 = 20

So, in the same way, the equation 8 X 5 = 40 can be used to determine how factors and multiples are related.

Let the equation be

8 X 5 = 40

8 is a factor of 40 because 8 X 5 = 40

40 is a multiple of 8 because 40 ÷ 5 = 8

So, this is how factors and multiples are related to each other.

Keywords: factors, multiples, division, multiplication

Learn more about factors and multiples from brainly.com/question/596356

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3 years ago