Answer:
Step-by-step explanation:
<h3>A.</h3>
The equation for the model of the geyser is found by substituting the given upward velocity into the vertical motion model. The problem statement tells us v=69. We assume the height is measured from ground level, so c=0. Putting these values into the model gives ...
h(t) = -16t² +69t
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<h3>B.</h3>
The maximum height is at a time that is halfway between the zeros of the function.
h(t) = -16t(t -4.3125) . . . . . has zeros at t=0 and t=4.3125
The maximum height will occur at t=4.3125/2 = 2.15625 seconds. The height at that time is ...
h(t) = -16(2.15625)(2.15625 -4.3125) = 16(2.15625²) ≈ 74.39 . . . feet
The maximum height of the geyser is about 74.4 feet.
Answer:
45
Step-by-step explanation:
So you have the equation:
(3x - 5) ^(x) - 19
and the value x = 3,
so just substitute in and simplify:
(3*3 - 5) ^ (3) - 19
(9 - 5)^(3) - 19
(4)^(3) - 19
64 - 19
45
688
x 29
6192
1376 x
19952
So you start by taking 9 from 29 and multiplying it by 688. when you get the answer put it below the line. then multiply the 2 from the 29 and whne you get the answer put a zero on the end and then add the answer you got from 9x688 (6192) and 2x688 (13760) and then thats youre answer. hope it helps!
Answer:
$1582
Step-by-step explanation:
cost of each kg 904/8=113
cost of 14 kg 113x14=1582
the cost of 14 kg of butter is $1582
16. LCD: 48 because 1/4= 12/48, 1/12=4/48, 11/16= 33/48 and they all share 48 as the denominator
17. LCD: 168 because 5/56= 15/168, 7/24= 49/168, 7/12= 98/168, 5/42= 20/168
18. LCD: 30 because 2/1= 60/30, 1/5= 6/30, 1/10= 3/30, 5/6= 25/30