9514 1404 393
Answer:
- 320 m after 8 seconds
- 5.6 seconds, 10.4 seconds to height of 290 m
Step-by-step explanation:
To find the height at 8 seconds, evaluate the formula for t=8.
S(t) = -5t^2 +80t
S(8) = -5(8^2) +80(8) = -320 +640 = 320
The height of the rocket is 320 meters 8 seconds after takeoff.
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To find the time to 290 meters height, solve ...
S(t) = 290
290 = -5t^2 +80t
-58 = t^2 -16t . . . . . . . divide by -5
6 = t^2 -16t +64 . . . . . complete the square by adding 64
±√6 = t -8 . . . . . . . . . take the square root
t = 8 ±√6 ≈ {5.551, 10.449}
The rocket is at 290 meters height after 5.6 seconds and again after 10.4 seconds.
Answer:
4, 144, 145 are not Pythagorean triplets
Step-by-step explanation:
According tp Pythagoras theorem,
Sum of squares of two sides must be equal to square of the third side.
By Pythagoras theorem,
24^2 + 144^2 = 145^2
576 + 20736 = 21025
21312 ≠ 21025
Numbers 24, 144, 145 does not satisfy the Pythagoras theorem.
So, 24, 144, 145 are not Pythagorean triplets.
Hence, checked.
Answer:
For an nth term U(n) = a + ( n - 1)d
n = number of terms
a = first term
d = common difference
a = -9
d = -3--9 = -3+9 = 6
U(n) = -9 + (n - 1)6
That's option A.
Hope this helps.
I don't know. This seems tricky. But I do know that the probability would be 1 divided by the probability. So A and D is Incorrect. Theres never really a 50-50 chance with Locker doors so I'm gonna go with C.
I'm not guaranteed this is the answer. But I do Hope it helps. =)
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