Answer:
a. h = 60t − 4.9t²
b. 12.2 seconds
c. 183.7 meters
Step-by-step explanation:
a. Given:
y₀ = 0 m
v₀ = 60 m/s
a = -9.8 m/s²
y = y₀ + v₀ t + ½ at²
h = 0 m + (60 m/s) t + ½ (-9.8 m/s²) t²
h = 60t − 4.9t²
b. When the ball lands, h = 0.
0 = 60t − 4.9t²
0 = t (60 − 4.9t)
t = 0 or 12.2
The ball lands after 12.2 seconds.
c. The maximum height is at the vertex of the parabola.
t = -b / (2a)
t = -60 / (2 × -4.9)
t = 6.1 seconds
Alternatively, the maximum height is reached at half the time it takes to land.
t = 12.2 / 2
t = 6.1 seconds
After 6.1 seconds, the height reached is:
h = 60 (6.1) − 4.9 (6.1)²
h = 183.7 meters
It shows that six years pasted between 2007 and 2013 and it increased by 20,000 so add that to the population at the time the answer is 158000
The original function f(x) = 2x+3.
And the transformed function is g(x) = 2x+4.
We can see that if we add 1 into function f(x), we get
f(x) +1 or 2x+3+1 = 2x+4.
<h2>
So, 1 is being added in original function f(x) and we get g function g(x) = 2x+4.</h2>
<em>According to rules of transformations, when we add some number k in the given function, it move k units up and if we subtract k from given function, it move k units down.</em>
<h3>Therefore, correct option is B option.</h3><h3>B. translation 1 unit up.</h3>
Don’t listen to the other person the answer is C.
x+x+x+x would be 4x. x^4 would be 4 times 4 times 4 times 4.
21 is 35 percent of 60.
21 ÷ 60 = 0.35 > 35 %
55 % of 40 is 22