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Natali [406]
3 years ago
6

The depth of water at a dock can be modeled as y = 3 sin (7x) + 7. At

Mathematics
1 answer:
Natalija [7]3 years ago
3 0

Answer:C

Step-by-step explanation:

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Find the value of the term in the arithmetic sequence using an = a^1+ (n-1)d. 3,5,7,9,11, (8th term)
saveliy_v [14]
<h3>Answer:  17</h3>

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

Work Shown:

a1 = 3 = first term

d = 2 = common difference (since we add 2 to each term to get the next one)

Let's compute the nth term.

an = a1 + (n-1)*d

an = 3 + (n-1)*2

an = 3 + 2n-2

an = 2n+1

-----------------------

To check things so far, we can plug in something like n = 2

an = 2n+1

a2 = 2*2+1

a2 = 5

Showing that the 2nd term is 5, which matches with the sequence given to us

Let's check n = 3

an = 2n+1

a3 = 2*3+1

a3 = 7

That matches as well. I'll let you check the others.

-----------------------

Plug in n = 8 to find the 8th term

an = 2n+1

a8 = 2*8+1

a8 = 17

The eighth term is 17, which is the final answer.

-----------------------

You could extend out the given sequence by adding 2 each time until you reach the 8th term

3,5,7,9,11,13,15,17

Though this method is slow if you need to find say the 38th term

8 0
2 years ago
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3 less than the quotient of a number y and 4
Aleks [24]
Answer:  (y ÷ 4) - 3

Quotient ⇒ division
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Diane has $20 in a savings account that earns 5 % annually. How much will she earn in interest in 1 year?
natta225 [31]

Answer:

$21

Step-by-step explanation:

Given data

Principal= $20

Rate = 5%

time= 1 year

Required

The final amount A

Applying the simple interest formula

A= P(1+rt)

substitute

A=20(1+0.05*1)

A=20(1.05)

A=20*1.05

A=$21

Hence she will earn $21

8 0
3 years ago
A triangle has sides with lengths of 5 millimeters, 12 millimeters, and 14 millimeters. Is it a right triangle?
dmitriy555 [2]

PFA FOR THE ANSWER. YOU CAN USE THE PYTHAGOREAN EQUATION (I.E a2 + b2 =

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2 years ago
Running Problem, Please Help!!!
kap26 [50]

Answer:

400

Step-by-step explanation:

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3 years ago
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