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son4ous [18]
3 years ago
13

Find the first,fourth,and tenth terms of the arithmetic sequence described by the given rule. A(n) = 12+(n-1)(3)

Mathematics
1 answer:
zhuklara [117]3 years ago
4 0
The answers are:
the first term: 21
the fourth term: 22
the tenth term: 39

<span>A(n) = 12+(n - 1)(3)

n = 1
A(1) = 12 + (1 - 1)(3) = 12 + 0*3 = 12 + 0 = 12

n = 4
</span>A(4) = 12 + (4 - 1)(3) = 12 + 3*3 = 12 + 9 = 21

n = 10
A(10) = 12 + (10 - 1)(3) = 12 + 9*3 = 12 + 27 = 39
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If 10a+10b=35, what is the average (arithmetic mean) of a and b?
worty [1.4K]

Answer:

1.75

Step-by-step explanation:

If a  and b are two numbers, then their arithmetic mean is

\dfrac{a+b}{2}

Given:

10a+10b=35

Divide this equation by 10:

a+b=3.5

Now, divide it by 2:

\dfrac{a+b}{2}=\dfrac{3.5}{2}\\ \\\dfrac{a+b}{2}=1.75

6 0
4 years ago
5x-2y=30 complete the missing solution to the equation​
astra-53 [7]

Answer:

I would have to go with x = 8 and y = 5, meaning the solution is (8, 5).

Step-by-step explanation:

5x - 2y = 30

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4 0
2 years ago
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I need help attachment below will give brainliest
Veronika [31]

Answer:

see explanation

Step-by-step explanation:

(1)

Calculate the circumference (C) of the wheel

C = πd (d is the diameter )

   = 3.14 × 8 = 25.12 cm

Now divide the distance travelled by the circumference.

times rotated = 12560 ÷ 25.12 ≈ 500

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(2)

The area (A) of a circle is calculated as

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Find r by using the circumference (C)

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r = 50.24 ÷ 6.28 = 8 , then

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(3)

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7 0
3 years ago
PLEASE HELP PLEASE HELP PLEASE
WARRIOR [948]

f is given as -3

-3 is greater than -4, so use the second equation 3x-5.

replace x with -3 and calculate:

3(-3) - 5 = -9 - 5 = -14


The answer is -14.

6 0
3 years ago
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Romashka [77]
Left Side Triangle: x = 142°
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3 years ago
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