Answer:
prime numbers
Step-by-step explanation:
not composite since,example, 2 is prime
not even since,example, 19 is odd
not odd since,example, 2 is even
Answer:
Step-by-step explanation:
<u>Given function:</u>
- f(x) = -x² + bx - 65 with maximum value of 35
<u>To find </u>
<u>Solution:</u>
Maximum value is obtained at vertex as a < 0
<u>Vertex coordinate of x is:</u>
- x = -b/2a = -b / -2 = 1/2b
<u>Solving for b:</u>
- 35 = - (1/2b)² + b(1/2b) - 65
- - 1/4b² + 1/2b² = 100
- 1/4b² = 100
- b² = 400
- b = √400
- b = ± 20
See attached
Answer:
after five hours,
Step-by-step explanation:
I do not know if that is right hope that helps
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Calculate Jean's rate
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Jean takes 8 hours to fill the pool.
So in 1 hour, she can fill 1/8 of the pool
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Calculate Mark's rate
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Mark takes 12 hours to fill the pool.
So in 1 hour, he can fill 1/12 of the pool.
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Calculate their rate if they work together
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Jean = 1/8
Mark = 1/12
1/8 + 1/12 = 3/24 + 2/24 = 5/24
They will fill 5/24 of the pool in 1 hour
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Find number of hours needed to fill up the pool
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I hour = 5/24 of the pool
1 ÷ 5/24 hour = 5/24 ÷ 5/24 of the pool
24/5 hour = Whole pool
Whole pool = 24/5 hours
Whole pool = 4 4/5 hours or 4.8 hours
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Ans: The supervisor is not correct, it will take only 4.8 hours if both of them work together.
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