The answer is 652
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Answer:
20 m
Step-by-step explanation:
The height of the ball in metres is given as:
where xis time, in seconds.
At the instant that the ball is thrown, the time is 0 seconds. This means that the height will be h(0):
The height of the ball is 20 metres.
Answer:
term
a word or phrase used to describe a thing
Coefficient
a number for constant quantity
constant
occurring continuously over a period of time
Algebraic expression
In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations.
Answer:
a) 39 meters
b) t = 1.8 seconds
Step-by-step explanation:
a)
To find the starting height of the riders, we just need to use the value of t = 0 in the equation of h(t):
h(0) = -9.8*0^2 - 5*0 + 39
h(0) = 39 meters
b)
To find when the height will be equal 0, we just need to use the value of h(t) = 0 and then find the value of t:
0 = -9.8*t^2 - 5*t + 39
Delta = b^2 - 4ac = 25 + 4*39*9.8 = 1553.8
sqrt(Delta) = 39.418
t1 = (5 + 39.418)/(-2*9.8) = -2.2662 s (A negative value for the time is not suitable for the problem)
t2 = (5 - 39.418)/(-2*9.8) = 1.756 s
Rounding to nearest tenth, we have t = 1.8 s
There can be no more than 835 people in the concert hall. What inequality represents the number of people, p, allowed in the concert hall? Drag and drop the appropriate symbol to correctly complete the inequality. (p [ ] 835
> < ≤ ≥
P≥835
