Answer:
408 bags of dog foods were sold
Step-by-step explanation:
145 bags of beef flavored dog food
+
263 bags of cheese flavored dog food
=
408 bags of dog foods were sold.
Answer:
See below.
Step-by-step explanation:
1) 7/4 + 5/8
= 14/8 + 5/8
= 19/8 or 2 3/8
2) 3/2 + 4/3
= 9/6 + 8/6
= 15/6
= 5/2 or 2 1/2
3) 2/3 + 10/7
= 14/21 + 30/21
= 44/21 or 2 2/21
4) 4 - 3/17
= 68/17 - 3/17
= 65/17 or 3 14/17
How to rationalize the denominator with square roots?
So, in order to rationalize the denominator, we need to get rid of all radicals that are in the denominator.
Step 1: Multiply numerator and denominator by a radical that will get rid of the radical in the denominator. ...
Step 2: Make sure all radicals are simplified. ...
Step 3: Simplify the fraction if needed.
hope this helps!
You need to find the acceleration once the rope starts acting.
For that, first you need the velocity, V, when Karen ends the 2.0 m free fall
V^2 = Vo^2 + 2gd = 0^2 + 2* 9.81m/s^2 * 2.0 m = 39.24 m^2 / s^2 => V = 6.26 m/s
From that point, the rope starts acting with a net force that produces a constant acceleration, modeled as per these values and equation:
Vo = 6.26m/s
Vf = 0
Vf^2 = Vo^2 + 2ad => a = [Vf^2 - Vo^2] / 2d = [0^2 - (6.26 m/s)2 ] /2(1m) = -19.62 m/s^2
That acceleration is due to the difference of the force applied by the rope - the weight of Karen:
Weight of Karen: mg
Weight of karen - Force of the rope = Net force = ma
mg - Force of the rope = ma
Force of the rope = mg - ma = m(g -a) = m [9.81m/s^2 - (-19.62m/s^2) ]= 29.43m
To express it as a multiple of her weight, divide it by her weight (mg = 9.81m) =>
29.43m / 9.81m = 3.0
Answer: 3.0 times.
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