Answer:
Step-by-step explanation:
a) We have 15! as the product of 1 to 15 natural numbers. Since 17 is prime there will be no factor common to these
By actual division we find
15! (mod 17) =16
From this we deduce
even 16! mod 17 = 16 = -1
According to Wilson theorem
(17-1)! = -1 mod 17
Thus verified 17 is prime
Hence 15! (mod 17) =-1=16
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b) 2(26!) is divided by 29
Since 29 is prime
(29-1)! = -1 mod 29
28! = -1 mod 29 = 28
When divided this gives 25 as remainder
100+25*12=400
400-320=80
80/320=1/4=0.25=25%
amswer os 25% interest
Answer:
A. 312 m^3
Step-by-step explanation:
that's the answer. you have to solve the triangular prism sides first.
The maximum height is 9.0 feet and the time to hit the ground is 4.5 seconds
<h3>How to determine the maximum height?</h3>
The function is given as:
f(x) = -0.6x^2 + 2.7x + 6
Differentiate
f'(x) = -1.2x + 2.7
Set to 0
-1.2x + 2.7 = 0
Subtract 2.7 from both sides
-1.2x = -2.7
Divide both sides by -1.2
x = 2.25
Substitute x = 2.25 in f(x) = -0.6x^2 + 2.7x + 6
f(2.25) = -0.6(2.25)^2 + 2.7(2.25) + 6
Evaluate
f(2.25) = 9.0
Hence, the maximum height is 9.0 feet
<h3>How to determine the time to hit the ground?</h3>
The time to hit the ground is twice the time to reach the maximum height.
In (a), we have:
x = 2.25
So, we have:
Time = 2 * 2.25
Evaluate
Time = 4.5
Hence, the time to hit the ground is 4.5 seconds
Read more about quadratic functions at:
brainly.com/question/1214333
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