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Sloan [31]
3 years ago
12

Help me in this page.​

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
3 0
Diameter=12 radius=6
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M =1 that is you answer
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Twenty pounds of a salt-water solution contains fifteen percent salt. How much salt is in the water?
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It is 15% of 20 pound water
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What are the zeros of f(x) = x(x - 8)
Nastasia [14]

Answer:

use photo math

Step-by-step explanation:

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1. What are the first five terms of the sequence given by the formula an = 5n + 1?
Dvinal [7]

The correct answers are:

(1) 6, 11, 16, 21, 26 (Option B)

(2)~a_1 = 8; ~a_n = a_{n-1} - 2~ (Option A)

(3)~a_n = -2 + 3(n-1)~~~~ (Option D)

Explanations:

(1) Given Sequence:

a_n = 5n + 1

Now in order to find the first 5 terms, we need to put n=1,2,3,4,5 in the above sequence and solve.

For n=1: a_1 = 5(1) + 1 = 6

For n=2: a_2 = 5(2) + 1 = 11

For n=3: a_3 = 5(3) + 1 = 16

For n=4: a_4 = 5(4) + 1 = 21

For n=5: a_5 = 5(5) + 1 = 26

Hence, the first five terms are: 6, 11, 16, 21, 26 (Option B)

(2) Given Sequence:

8, 6, 4, 2, …

Now to find the recursive definition, we need to adopt trial-and-error approach.

As, a_1 = 8 (meaning the first element of the sequence is 8), the second or nth value of the sequence can be found by using the following formula:

a_n = a_{n-1} - d --- (1)

Where, n = the index of the number in a sequence

d = difference between two consecutive numbers = 8-6 = 2

Now,

The second number of the sequence has to be 6 by using (1). Put n = 2 and d = 2 in (1):

a_2 = a_{2-1} - 2

a_2 = a_{1} - 2

Since a_1 = 8, therefore,

a_2 = 8 - 2 = 6 (correct)

Hence the correct answer is a_1 = 8; ~a_n = a_{n-1} - 2~ (Option A)

(3) Given Sequence:

−2, 1, 4, 7, …

To find the explicit definition, use the following formula:

a_n = a_1 + (n-1)*d --- (X)

Where,

a_n = nth~term~of~the~sequence \\a_1 = 1st~term~of~the~sequence = -2 \\d = common~difference = 4-1 = 7-4 = 3 \\n = index~of~a~number~in~a~sequence \\

Plug in the values in (X):

(X)=> a_n = -2 + (n-1)*3~~~~ (Option D)

3 0
3 years ago
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What expression is equivalent to
Rasek [7]

= 18 1/5 + 22 2/5 + 40 1/5

Answer is D. 18 1/5 + 22 2/5 + 40 1/5


3 0
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