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
Answer:
-8
Step-by-step explanation:
3+8+8-2=17
7+4+5+1=17
10+12+3+x=17
x=17-25
=-8
Answer:
10 + m ≥ 30
You must spend AT MOST $20 or more
Step-by-step explanation:
Basically you have already spent 10 dollars and you have to pay MORE than or equal to 30. You cannot pay less than because you want the free songs. So the sign has to be ≥ or the inequality will not be true.
10 + m ≥ 30
10 - 10 + m ≥ 30 - 10 ( subtract 10 from each side to isolate m)
m ≥ 20 ( we are left with this )
The answer is :
m ≥ 20
You must spend at most 20 dollars more to get the 3 free cd's. Your welcome :D
Answer: 1) The value of the 3 in option A is 10x the value of the 3 in option B
2) Option A has the 3 in the ones places, Option B has the 3 in the tenths place
Step-by-step explanation: