X+10>2. The simplified answer is x>-8
Answer:
320√2
Step-by-step explanation:
4 * 8√200
= 4 * 8√2√100
= 32 * √2 * 10
= 320√2
Answer:
50 worlds per minute
Step-by-step explanation:
800/16=50
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
<span>To solve for p:
3p – 6 > 21
</span><span>3p - 6 + 6 > 21 + 6 (add 6 to both sides)
</span><span>3p > 27
3p/3 </span><span>> 27/3 (divide both sides by 3 to get p by itself)
</span><span>p > 9</span>