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4 years ago

Can someone help me ?

Mathematics

1 answer:

MakcuM [25]4 years ago

4 0

1 = 144
2 = 144
3 = 36
4 = 90
5 = 144
6 = 36
7 = 144
8 = 90

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A sequence is constructed according to the following rule: its first term is 7, and each next term is one more than the sum of t

Iteru [2.4K]

Answer:

Step-by-step explanation:

According to the described rule, we have

$a_1=7\\ \\a_1^2=7^2=49\Rightarrow a_2=4+9+1=14\\ \\a_2^2=14^2=196\Rightarrow a_3=1+9+6+1=17\\ \\a_3^2=17^2=289\Rightarrow a_4=2+8+9+1=20\\ \\a_4^2=20^2=400\Rightarrow a_5=4+0+0+1=5\\ \\a_5^2=5^2=25\Rightarrow a_6=2+5+1=8\\ \\a_6^2=8^2=64\Rightarrow a_7=6+4+1=11\\ \\a_7^2=11^2=121\Rightarrow a_8=1+2+1+1=5\\ \\\text{and so on...}$

We can see the pattern

$a_5=a_8=a_{11}=a_{14}=...=5\\ \\a_6=a_9=a_{12}=a_{15}=...=8\\ \\a_7=a_{10}=a_{13}=a_{16}=...=11$

In other words, for all $k\ge 2$

$a_{3k-1}=5\\ \\a_{3k}=8\\ \\a_{3k+1}=11$

Now,

$a_{2018}=a_{3\cdot 673-1}=5$

7 0

4 years ago

Each angle of a regular pentagon has a measure of

Andrew [12]

Answer:

congruent

Step-by-step explanation:

All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the interior angles, we know that the sum of all the angles is 540 degrees (from above)... And there are five angles... So, the measure of the interior angle of a regular pentagon is 108 degrees.

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4 years ago

Consider the function represented by 9x+3y= 12 with x as the independent variable. How can this function be written using

Ivenika [448]

Answer:

f(x)=-3x+4

(can't see some of your choices)

Step-by-step explanation:

We want x to be independent means we want to write it so when we plug in numbers we can just choose what we want to plug in for x but y's value will depend on our choosing of x.

So we need to solve for y.

9x+3y=12

Subtract 9x on both sides

3y=-9x+12

Divide both sides by 3:

y=-3x+4

Replace y with f(x).

f(x)=-3x+4

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3 years ago

Beto is selling raffle tickets to raise money for his school band. The tickets cost $12 each. Beto's goal is to make at least $2

Kamila [148]

Answer:

12x + 96 ≥ 200

Step-by-step explanation:

Each ticket costs 12 each= 12x

He has already sold 96=+96

he needs to make 200

12x+96>= 200

Plz mark brainliest

4 0

3 years ago

Solve 10(1 + 3b) = −20, justifying each step with an algebraic property.

Delicious77 [7]

The correct answer is B = -1

10(1 + 3B) = -20

10 + 30B = -20

-20 - 10 = -30

30B = -30

B = -1

Hope this helps :)

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3 years ago