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qwelly [4]
2 years ago
8

HELP ASPA PLEASE I will give brainliest

Mathematics
1 answer:
NeX [460]2 years ago
3 0

Answer:

2340

Step-by-step explanation:

fundamental counting principle

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Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37
Mandarinka [93]

Answer:

The general rule is a_n = -2 - 5(n-1)

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The general rule of an arithmetic sequence is given by:

a_{n} = a_1 + (n-1)d

In which a_1 is the first term and d is the common difference.

We can also find the nth term as a function of a term m, using:

a_n = a_m + (n-m)d

a3 = -12 and a8 = -37

First we find the common difference. So

a_n = a_m + (n-m)d

a_8 = a_3 + (8-3)d

-37 = -12 + 5d

5d = -25

d = -\frac{25}{5}

d = -5

So

a_n = a_1 - 5(n-1)

Finding the first term:

a_n = a_1 - 5(n-1)

Since a_3 = -12

a_n = a_1 - 5(n-1)

a_3 = a_1 - 5(3-1)

a_1 = a_3 + 10 = -12 + 10 = -2

So the general rule is:

a_n = a_1 - 5(n-1)

a_n = -2 - 5(n-1)

6 0
2 years ago
Which method and additional information would prove triangle ONP and triangle MNL similar by the AA similarity postulate?
MA_775_DIABLO [31]
<h3>Answer: Choice B</h3>

Use a rigid transformation to prove that angle NPO is congruent to angle NLM

=====================================================

Explanation:

The AA stands for "angle angle". So we need two pairs of angles to prove the triangles to be similar. The first pair of angles is the vertical angles ONP and MNL, which are congruent. Any pair of vertical angles are always congruent.

The second pair of angles could either be

  • angle NOP = angle NML
  • angle NPO = angle NLM

so we have a choice on which to pick. The pairing angle NOP = angle NML is not listed in the answer choices, but angle NPO = angle NLM is listed as choice B.

Saying angle NLM = angle LMN is not useful because those two angles are part of the same triangle. The two angles must be in separate triangles to be able to tie the triangles together.

We would use a rigid transformation to have angle NPO move to angle NLM, or vice versa through the use of a rotation and a translation.

5 0
3 years ago
Jean bought a $1,980 snow thrower on the installment plan. The installment agreement included a 10% down payment and 18 monthly
enyata [817]

Answer:

Jean paid $2,286 for the snow thrower, with a finance charge of $306.

Step-by-step explanation:

Given that Jean bought a $ 1,980 snow thrower through an initial payment of 10% of the initial value, and 18 monthly payments of $ 116, to determine the final price paid by Jean, the following calculation is required:

(1,980 x 0.1) + (18 x 116) = X

198 + 2,088 = X

2,286 = X

Therefore, the final price paid for Jean was $ 2,286.

In turn, the finance charge arises from the difference between the final price and the list price, that is:

2,286 - 1,980 = X

306 = X

Thus, the finance charge is $ 306.

8 0
2 years ago
I already know the answer. Just giving away free points. Free Points!!!!
olga_2 [115]
It’s A. 32. ..................
5 0
3 years ago
Read 2 more answers
Can someone help me ASAP!!
Lana71 [14]

The answer is 5.

Step-by-step explanation:

To find the interquartile range you must look at the median and the upper and lower halves of the data. The median (12) to the upper half of the data (15) is 3. Next, look at the median (12) to the lower half of the data (10) it is 2. We then add 2 and 3 to get the interquartile range of 5.

6 0
2 years ago
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