Answer:
F = 0.792
Step-by-step explanation:
Given:
- The function C_o :
C_o (t) = 90*(e^-0.3t - e^-2.5t)
- The function C_i :
C_i (t) = 100*e^-0.3t
The function:

Find:
- The factor F.
Solution:
- Determine UAC_o from the function given:
UAC_o = integral ( 90*(e^-0.3t - e^-2.5t) ) dt
UAC_o = -300*e^(-0.3t) + 36*e^(-2.5t)
Evaluate integral from infinity to zero:
| UAC_o | = 300 - 36 = 264
- Determine UAC_i from the function given:
UAC_i = integral ( 100e-0.3t ) dt
UAC_i = -333.333*e^(-0.3t)
Evaluate integral from infinity to zero:
| UAC_i | = 0 + 333.333 = 333.3333
- Evaluate factor F:
F = | UAC_o | / | UAC_i |
F = 264 / 333.3333
F = 0.792
Answer:
f(x) = (x+10)^2 - 86
Step-by-step explanation:
- f(x) = x^2 + 20x - 86
- f(x) = x^2 + 20x + 100 - 86 (because (20/2)^2 = 100)
- f(x) = (x+10)^2 - 86
Completing the square means you do (b/2)^2 where b is: a^2x + bx + c.
Answer:
There is none
Step-by-step explanation:
5(7a + 4b)
Distributive property !
Option B is a better option.
Step by step:
I divided 40/6.29 and got about 6.3.
I divided 24/3.89 and got about 6.1.
Which is less, 6.3 or 6.1?
If you said 6.1 you are correct, so option B has a less cost, making it a better option.