Answer:
- After 4 seconds the height is 480 meters.
- The maximum height is 484 meters.
- The ball hits the ground after 10 seconds
Step-by-step explanation:
The height after four seconds is h(4) = -16 * r² + 144*4+160 = 480
The maximum height of the ball is the value it takes at its vertex 'v = -b/2a'. In this case a = -16 and b = 144, so the v = -144/-32 = 4.5. The maximum height of the ball as a result is h(4.5) = -16 (4.5)² + 144*4.5 + 160 = 484
To find the moment the ball hits the ground, we need to find when h takes the value 0 by using the quadratic formula, with a = -16, b = 144 and c = 160.

Since t cant take negative values, then the correct value is 10. The ball hits the ground after 10 seconds.
I can't do the domain and range but here are the function answers:
1)N
2)N
3)Y
4)N
5)Y
6)Y
7)N
8)N
9)Y
I hope that helped. Sorry I couldn't do the other parts.
Answer: $574
Step-by-step explanation:
First we need to calculate the price of the snowboard before the addition of the tax. This will be represented by x. Therefore,
6% of x = $32.50
0.06 × x = $32.50
0.06x = $32.50
x = $32.50 / 0.06
x = $541.67
Therefore, the total cost including the sales tax will be:
= $541.67 + $32.50
= $574.17
= $574
Answer:
The answer is "
".
Step-by-step explanation:
Although the five first players are red, the very first five cards are not spaded as the spad is a black card.
Its chance of the final card mostly on deck being the ace of spades is therefore determined as:

Thus,
here is the necessary chance.
When two fractions have the same numerators, the one with the smaller denominator is the greater fraction.

So Kelvin is right.