So first add them al together
10+14+40=64
16 ounces=1 pound
1pound/16ounce=1 because they are equal
so then multiply 64 ounce by 1 or 1pound/16ounce to cancel units and get
64 pound/16=4 pound
4 pounds total
For the first question, the answer is A. You take 90 and multiply it by 3, then you get the time that it takes for one worker to mow the large park.
For the second question, you take 50 = k/0.25. To find k, you would want to multiply both sides with 0.25 to cancel the 0.25 on k's side. 50 times 0.25 is 12.5. I think C is your answer although I'm not really confident.
Since the problem is asking us to do so, we are going to use the complex conjugate formula to find the absolute value of our complex number.
The complex conjugate formula is:
where
is the complex number
is the absolute value of the complex number
We know from our problem that our complex number is , so . Now to conjugate of our complex number, we just need to change the sign of the imaginary part:
Now that we have all we need, let's replace the values in our formula:
We can conclude that the absolute value of is
All of these equations will be set up as: h(t) = +v₀t + h₀ where g represents gravity, v₀ represents initial velocity, and h₀ represents initial height. When working with ft/sec, g = 32. So, -g/2 = -16
1a) Length of time to reach its maximum height means you are looking for the x-value of the vertex (aka Axis Of Symmetry).
h(t) = -16t² + 160t
AOS: x = = = 5
Answer: 5 sec
1b) Length of time to fall to the ground means you are looking for the x-intercept when height (y-value) = 0.
h(t) = -16t² + 160t
0 = -16t² + 160t
0 = -16t(t - 10)
0 = -16t 0 = t - 10
t = 0 t = 10
t = 0 is when it started, t = 10 is when fell to the ground.
Answer: 10 sec
2c) Same concept as 1a
h(t) = -16t² + 288t
AOS: x = = = 9
Answer: 9 sec
2d) Same concept as 1b
h(t) = -16t² + 288t
0 = -16t² + 288t
0 = -16t(t - 18)
0 = -16t 0 = t - 18
t = 0 t = 18
Answer: 18 sec
3e) Same concept as 1a
h(t) = -16t² + 352t
AOS: x = = = 11
Answer: 11 sec
3f) Same concept as 1b
h(t) = -16t² + 352t
0 = -16t² + 352t
0 = -16t(t - 22)
0 = -16t 0 = t - 22
t = 0 t = 22
Answer: 22 sec