Answer:
x = 12
Step-by-step explanation:
Answer:
259.6 ft/sec
Step-by-step explanation:
it is a universal standard that acceleration due to gravity is 32ft/sec^2.
Now it can be verified by equation,
V(f) = V(i)+at (1st equation of motion derived by Newton's three laws of motion)
where,
V(f) is final velocity
V(i) is initial velocity
a is acceleration which is constant and have value 32ft/sec^2
t is time which is given as 7.8 seconds
In the given case, initial velocity that is V(i) will be 0ft/sec. Because, on dropping, object will start to move under the influence of gravity from zero speed.
So,
V(f) = 0 +(32) (7.8)
V(f) = 249.6 ft/sec
Now the condition is given that you have to add a constant 10 to the answer.
so, V(f) = 249.6 + 10
V(f) = 259.6 ft/sec
There are 650 toothpicks in a regular sized box.
That is the volume of the box = 650 toothpicks
Jumbo box is made by doubling all the dimensions.
We know volume = length * width * height = L*W*H
We double all the dimensions for Jumbo box
L becomes 2L
W become 2W
H becomes 2H
Volume of Jumbo box = 2L * 2W * 2H = 8*L*W*H
Volume of jumbo box = 8 * volume of small box
= 8 * 650= 5200
The Jumbo box holds 5200 toothpicks .
-4(x-6) ≤ - 2x+6
-4x-24≤ -2x+6
+2x +2x
-2x-24≤+6
+24 +24
-2x ≤ 30
Divide both sides by -2
and you get....
x ≥ -15
You switch the inequality sign because you're dividing by a negative.
I hope all is well, and you pass! Good luck, rockstar! (:
