Answer: 3 servings with .33 cups left over.
Step-by-step explanation:
Answer:
12 seconds
Step-by-step explanation:
Given
Required
Determine the time taken to reach the ground
For the paper to reach the ground, y = 0
So, we have:
Collect Like Terms
Divide through by 2.5
<em>Hence:</em>
<em>Time taken is 12 seconds</em>
What we have so far:
Kinetic energy = 0. The reason behind that is because the beam is not moving at a height of 40m.
Gavity, g = 9.8m/s²
Height = 40m
Potential energy = mgh; this is equal to 0 because m, stands for mass and in this problem, we do not have a value for the mass of the beam. Hence, 0 x 9.8m/s² x 40m = 0. Potential energy = 0.
Solution:
We will use the equation of Total energy:
TE = potential energy + kinetic energy
TE = 0 + 0
∴ TE = 0
The answer is: Assuming no air resistance, the total energy of the beam as it hits the ground is 0.
Answer:
x=-3.5, x=13.5
Step-by-step explanation:
-10x-47=-x^2+1
<u>switch sides</u>
-x^2+1=-10x-47
<u>add 47 to both sides</u>
-x^2+1+47=-10x-47+47
<u>simplify</u>
x^2+48=-10x
<u>add 10x to both sides</u>
-x^2+48+10x=-10x+10x
<u>simplify</u>
-x^2+10x+48=0
<u>solve with the quadratic formula</u>
a=-1, b=10, c=48:
x=-10±√10²-4(-1)48/ 2(-1)
(you can plug this into a calculator or use PEMDAS to solve)
(solve it twice: use - once, and + the second time)
<u>answer:</u>
x=-3.5, x=13.5
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