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Alex17521 [72]
2 years ago
15

Please help me with this Arithmetic Sequences and Series Question:

Mathematics
1 answer:
Novosadov [1.4K]2 years ago
6 0

Answer:

The 37th term of arithmetic sequence is 182.

Step-by-step explanation:

Here's the required formula to find the arithmetic sequence :

\longrightarrow\pmb{\sf{a_n = a_1 + (n - 1)d}}

  • \pink\star aₙ = nᵗʰ term in the sequence
  • \pink\star a₁ = first term in sequence
  • \pink\star n = number of terms
  • \pink\star d = common difference

Substituting all the given values in the formula to find the 37th term of arithmetic sequence :

\implies{\sf{a_n = a_1 + \Big(n - 1\Big)d}}

\implies{\sf{a_{37} = 2 + \Big(37 - 1\Big)5}}

\implies{\sf{a_{37} = 2 + \Big( \: 36  \: \Big)5}}

\implies{\sf{a_{37} = 2 +  36 \times 5}}

\implies{\sf{a_{37} = 2 +  180}}

\implies{\sf{a_{37} = 182}}

{\star{\underline{\boxed{\sf{\red{a_{37} = 182}}}}}}

Hence, the 37th term of arithmetic sequence is 182.

\rule{300}{2.5}

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What should be multiplied with -25/36 to get -5/9​
Ierofanga [76]

Answer:

\frac{4}{5}

Step-by-step explanation:

\frac{-\frac{5}{9}}{-\frac{25}{36}}=\\\\-\frac{5}{9}*(-\frac{36}{25})=\\\\\frac{4}{5}

6 0
2 years ago
7. Identify a horizontal or vertical stretch or compression of the function f(x)=√x by observing the equation of the function g(
Effectus [21]

It is a vertical stretch.

<h3>What is functions?</h3>

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

Given

To solve this problem you must apply the procedure shown below:

1. You have the following parent function given in the problem above:

f(x) = √x

2. And you have the function g(x) = √3x

3. By definition, if you have the function y = ax and |a| > 1 it is a vertical stretch.

4. Therefore, you have that:

|a| = √3

√3 > 1

Therefore the answer is: It is a vertical stretch.

to learn more about functions refer to:

brainly.com/question/11624077

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6 0
2 years ago
The Daily Info charges a fee of plus per week to run an ad. The People's Paper charges per week. Write an inequality to represen
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Complete question :

The Daily Info charges a fee $650 of plus $80 per week to run an ad. The People's Paper charges $145 per week. Write an inequality to represent the number of weeks an ad must run for the total cost at the Daily Info to be less expensive than the cost at the People's Paper. Let w be the number of weeks the ad runs in the paper

Answer:

650 + 80w < 145w

Step-by-step explanation:

Given that :

Number of weeks ad will run = w

Daily Info total cost :

650 + 80w

The People's Paper total cost:

145w

Number of weeks ad should run For cost at daily info to be less expensive than peoples choice';

Daily Info total cost < people's choice

650 + 80w < 145w

650 < 145w - 80w

650 < 65w

650/65 < 65w / 65

10 < w

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3 years ago
A different cube has a side of length 5. Write two expressions that would represent how to find the volume of the cube. One expr
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Answer:

V=125

look it up and a wole procces does it and shows you how to do it. Just look up

"Cube solve (units)" and you can do voloume and stuff

6 0
2 years ago
-8x - 1= -25 Thanks for the help guys!
Lera25 [3.4K]

Answer:

x=3

Step-by-step explanation:

-8x - 1= -25

Add 1 to each side

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Divide each side by -8

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3 0
3 years ago
Read 2 more answers
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