Answer:
hmax = 194 ft
The maximum height is 194 ft
Step-by-step explanation:
According to the given equation for the model of the vertical motion. The height at any point in time can be written as;
h(t) = -16t^2 + v0t + h0 .......1
Where;
h(t) = height at time t
t = time
v0 = initial velocity = 96 ft/s
h0 = initial height = 50 ft
To determine the maximum height we need to differentiate the equation 1 to find the time at which it reaches maximum height;
At the highest point/height h' = dh/dt = 0
h'(t) = -32t +v0 = 0
-32t + v0 = 0
t = v0/32
t = 96/32
t = 3 s
At t=3 it is at maximum height.
The maximum height can be derived from equation 1;
Substituting the values of t,v0,h0 into equation 1;
h(t) = -16t^2 + v0t + h0 .......1
hmax = -16(3)^2 + 96(3) + 50 = 194 ft
hmax = 194 ft
The maximum height is 194 ft
For APEX it’s C
(0.15/365 • 30) ($320)
Good luck my dudes!!
Answer:
She doesn't have enough wax to make 4 candles, but she does have enough to make 3 whole candles
Step-by-step explanation:
Please refer to the attached image for explanations
1) Experimental probability of drawing a Club = 9 / 40
The experimental probability is the probability of the event occurring in the experiment. You use your results to find the experimental probability. This is over the total amount of trials. In this experiment, 9 clubs were drawn. Thus, the experimental probability of drawing a club is 9 / 40.
2) Relative frequency of drawing a Spade = 1 / 5
Relative frequency is the same as experimental probability. You use your results and set the experiment number over the total number of trials. Thus, the relative frequency of drawing a Spade is 8 / 40, or 1 / 5.
3) Theoretical probability of drawing a Heart = 1 / 4
The theoretical probability is the expected probability. There are 13 hearts out of a full deck of 52 cards. Thus, the theoretical probability of drawing a heart is 13 / 52 or 1 / 4.
4) Theoretical probability of drawing a Club or Diamond = 1 / 2
The theoretical probability is the probability that is expected. In this scenario, it will be the number of clubs plus the number of diamonds in a deck of cards over the total number of cards in a full deck. And, or means that either probability could occur and we should add. Thus, the theoretical probability of drawing a club or diamond is 26 / 52 or 1 / 2.
5) The difference between experimental and theoretical probability is that experimental probability is the probability of an event occurring based on your experiment and results. The theoretical probability is the expected probability of an event occurring. It is not based on your experiment, and in a completely fair experiment, would be the probability of an event occurring. For example, flipping a coin. The theoretical probability of getting heads when you flip a coin is 0.5. But say in your experiment of 50 trials you get heads 15 times. The experimental probability would be 15 / 50.
Hope this helps!! :)
The answer is 140.
For every 4 toys the price increases by 20. If you divide, we find that every toy is worth 5. For example, if the amount of toys increases by 10, then the cost increases by 50. Since 20 is the closest given example being only 10 toys away, you can just add 50 onto the cost of the toys to get 140.
