Answer:
31.9secs
6,183.3m
Step-by-step explanation:
Given the equation that models the height expressed as;
h(t ) = -4.9t²+313t+269
At the the max g=height, the velocity is zero
dh/dt = 0
dh/dt = -9,8t+313
0 = -9.8t + 313
9.8t = 313
t = 313/9.8
t = 31.94secs
Hence it takes the rocket 31.9secs to reach the max height
Get the max height
Recall that h(t ) = -4.9t²+313t+269
h(31.9) = -4.9(31.9)²+313(31.9)+269
h(31.9) = -4,070.44+9,984.7+269
h(31.9) = 6,183.3m
Hence the maximum height reached is 6,183.3m
Answer:
x + y = w
w > x
w > y
Step-by-step explanation:
x and y are interior angles of a triangle.
w is the exterior angle ( opposite to angles x and y ) of a triangle.
There is a formula that exterior angle of a triangle is equal to sum of two interior angles of a triangle.
So,
x + y = w
If x + y = w,
Then,
w > x
w > y
Answer:
$292.40 earned
Step-by-step explanation:
$10.75 x 27 = $290.25
$10.75 x 1/5 = $2.15
$290.25 + $2.15 = $292.40 (total earned)
I hope this helps :)
First, pass all the rate of inflation to ballons/hour
John: 1 b/15s * 3600 s/h = 240 b/h
Jamie: 1 b/20s * 3600 s/h = 180 b/h
Jake: 180 b/h
Then sum the rates to obtain the total rate
Total ballons per hour: 240 b/h + 180 b/h + 180b/h = 600 b/h
If it passes x hours the number of ballons inflated is 600*x
The number of ballon defective are 600*x/80
The number of ballons effectiveley inflated = 600x -600x/80 = 600x - 7.5x = 592.5x.
Answer: option A)
Answer: C
Step-by-step explanation:
