Any number 1.44 and lower is possible. i dont know too many details, but given this i can figure some out.
Step-by-step explanation:
15. If A and B are complementary angles, then sin A = cos B and cos A = sin B.
So if sin A = m, then cos B = m.
16. If sin A = cos B, or cos A = sin B, and A and B are acute, then A and B are complementary.
a. cos 60° = sin θ
60° + θ = 90°
θ = 30°
b. sin 71° = cos θ
71° + θ = 90°
θ = 19°
c. sin θ = cos (θ + 20°)
θ + θ + 20° = 90°
2θ = 70°
θ = 35°
d. sin (θ − 60°) = cos θ
θ + θ − 60° = 90°
2θ = 150°
θ = 75°
Answer:
- $2300000- max profit
- 5.77 years into operation - zero profit time
Step-by-step explanation:
<u>Given function:</u>
It is a quadratic function with general form of y = ax^2 + bx + c
It opens down if a < 0 and gets maximum value at vertex which is determined at x = -b/2a
<u>For the given function vertex is:</u>
<u>Maximum value of p is:</u>
- p(3) = -3*3^2 + 18*3 - 4 = -27 + 54 - 4 = 23 ($2300000)
<u>The time when profit is zero:</u>
- -3t^2 + 18t - 4 = 0
- 3t^2 - 18t + 4 = 0
- t = (18 ± √18² - 4*3*4)/2*3 = (18 ± √276)/6 = (18 ± 16.61)/6
- t = (18 - 16.61)/6 = 0.23 this is the time when company has just started to make profit, it is not applicable as is the past time
- t = (18 + 16.61)/6 = 5.77 years into operation, after this time there will be no profit
Answer:
c)
Step-by-step explanation:
the x rate of change is +2 and the y rate of change if -1. slope is always y over x, therefore, do exactly that. put y (-1) over x (2). thus gett in your answer of the slope.
