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Tomtit [17]
3 years ago
7

Find the fifth term in the sequence that is defined as follows an=n^2+2

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
8 0

Answer:

a(5) = 2 + 5^2 = 2 + 25 = 27

Step-by-step explanation:

This sequence is defined as a(n) = 2 + n^2.

Thus, a(1) = 2 + 1^2 = 2 + 1 = 3

Then a(5) = 2 + 5^2 = 2 + 25 = 27

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Write the equation of a line perpendicular to 5x−9y=−8 that passes through the point ​(−5​,8​).
Fantom [35]

Answer:  y = -(9/5)x - 1

Step-by-step explanation:

Rewrite the equation in standard form:  y = (5/9)x+(8/9).  [y=mx+b]

A line perpendicular to this would have a slope that is the negative inverse of the original slope (5/9), which would make it -(9/5).  The y-intercept would also change, but we don't know the value, yet.  For now, we'll use "b" for the y-intercept.  This results in a perpendicular line:

y = -(9/5)x + b

We can calculate b, the y-intercept, by using the point (-5,8) and solving for b.

8 = -(9/5)*(-5) + b

8 = (9) + b

b = -1

The line perpendicular to 5x−9y=−8 that passes through the point ​(−5​,8​) is

y = -(9/5)x - 1

7 0
3 years ago
Two pumps connected in parallel fail independently of one another on any given day. The probability that only the older pump wil
Bogdan [553]

Answer : Probability that the pumping system will fail on any given day = 0.005

Explanation:

Probability that only older pump fail = P(A) = 0.10

Probability that only newer pump fail = P(B) = 0.05

Since they are independent events ,

then the conditions will be

P(A∩B) = P(A). P(B)

             = 0.10 ×0.05

             =  0.005

Hence, the probability will fail on any given day = 0.005

8 0
3 years ago
What is the slope between (-4,0) and (0,2)
djverab [1.8K]

Answer:

The Slope is 1/2

Step-by-step explanation:

Hope this helps

5 0
3 years ago
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Solve this system of equations algebraically:
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Answer:

the answer is 5,90

Step-by-step explanation:

6 0
3 years ago
If John owes 300 dollars and pays 50 a week what are the dependent and independent variables ​
podryga [215]
300 dollars would be the independent variable and 50 dollars a week is dependent
7 0
3 years ago
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