Answer: f(8) = 6.25(1.1)^7 ; f(8) = 12.179
Step-by-step explanation: (I got it right on the test)
(1, 6.25), (2, 6.875), (3, 7.5625), (4, 8.31875)
r= 1.1
f(1) = 6.25 / starting number
1. Since it is multiplying each number by 1.1 it is using the Geometric Explicit Formula:
f(n)= f(1) x r ^n-1
f(8) = 6.25 x 1.1 ^(8-1)
f(8) = 6.25 x 1.1 ^7
f(8) = 6.25 x 1.9487171
f(8) = 12.179
Answer:
a) 8 seconds
b) 3 seconds
c) 170 meters
Step-by-step explanation:
a) When the ball lands in the sea, s = -80.
-80 = 30t − 5t²
5t² − 30t − 80 = 0
t² − 6t − 16 = 0
(t + 2) (t − 8) = 0
t = -2 or 8
t = 8 seconds
b) The ball reaches its highest point when the velocity is 0 (or at the vertex of the parabola).
t = -b / (2a)
t = -30 / (2 × -5)
t = 3 seconds
c) The highest point is:
s = 30(3) − 5(3)²
s = 45
So the ball rises 45 meters, falls 45 meters, then falls 80 meters.
The total distance traveled is 45 + 45 + 80 = 170 meters.
Answer:
Step-by-step explanation:
Find the area of each shape, then multiply by 20, then round to nearest hundred.
Half circle:
=πr²/2
=50π
=157.08
Large square:
=L•w
=20(22)
=440
Small square:
=L(w)
=12(3)
=36
Triangle:
=b(h)/2
=8(3)/2
=12
Btu req:
=(157.08+440+36+12)(20)
=(645.08)(20)
=12901.6
=12900 BTU
Answer:
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Step-by-step explanation:
