Answer:
Step-by-step explanation:
In order to find the horizontal distance the ball travels, we need to know first how long it took to hit the ground. We will find that time in the y-dimension, and then use that time in the x-dimension, which is the dimension in question when we talk about horizontal distance. Here's what we know in the y-dimension:
a = -32 ft/s/s
v₀ = 0 (since the ball is being thrown straight out the window, the angle is 0 degrees, which translates to no upwards velocity at all)
Δx = -15 feet (negative because the ball lands 15 feet below the point from which it drops)
t = ?? sec.
The equation we will use is the one for displacement:
Δx = 
and filling in:
which simplifies down to
so
so
t = .968 sec (That is not the correct number of sig fig's but if I use the correct number, the answer doesn't come out to be one of the choices given. So I deviate from the rules a bit here out of necessity.)
Now we use that time in the x-dimension. Here's what we know in that dimension specifically:
a = 0 (acceleration in this dimension is always 0)
v₀ = 80 ft/sec
t = .968 sec
Δx = ?? feet
We use the equation for displacement again, and filling in what we know in this dimension:
Δx = 
and of course the portion of that after the plus sign goes to 0, leaving us with simply:
Δx = (80)(.968)
Δx = 77.46 feet
I mean I think so I’m not completely sure it’s a really hard question
Start by multiplying 24*5 (PEMDAS)
24*5= 125
125-41=84
The price at which revenue is maximized is $ 157, and maximum annual revenue is $ 6751.
Since at HD Sport & Fitness gym, analysis shows that, as the demand of the gym, the number of members is 83 when annual membership fee is $ 17 per member and the number of members is 81 when annual membership fee is $ 24 per member, and the number of members and membership fee have a linear relationship, to determine at what membership price is the maximized revenue, and what is the maximum annual revenue, the following calculations must be performed:
- 17 x 83 = 1411
- 24 x 81 = 1944
- 31 x 79 = 2449
- 38 x 77 = 2926
- 66 x 69 = 4554
- 73 x 67 = 4891
- 80 x 65 = 5200
- 94 x 61 = 5734
- 101 x 59 = 5959
- 122 x 53 = 6466
- 129 x 51 = 6579
- 150 x 45 = 6750
- 157 x 43 = 6751
- 164 x 41 = 6724
Therefore, the price at which revenue is maximized is $ 157, and maximum annual revenue is $ 6751.
Learn more in brainly.com/question/11663530
7th grade has 3 boy out of 10 students
probability of picking a boy is 3/10
8th grade has 9 boys out of 12 students are boys
probability of picking a boy is 9/12 reduced to 3/4
3/10 x 3/4 = 9/40 probability of picking 2 boys
