Answer:
Range = [- 2.5, 0.5] = [ - 5/2, 1/2]
Step-by-step explanation:
Smallest value of cos α = - 1,
largest value of cos α = 1.
When cos 4x = - 1, y=3/2cos4x-1 = 3/2*(-1) - 1 = - 5/2 = - 2 1/2 = - 2.5
When cos 4x = 1, y=3/2cos4x-1 = 3/2*1 - 1 = 1/2 = 0.5
Range = [- 2.5, 0.5] = [ - 5/2, 1/2]
Answer:
There were 6 onion rings and 2 slider in the combination meal.
Step-by-step explanation:
Let x be the number of onion rings and y be the number of slider.
Calories in one onion ring = 45 calories
Calories in one slider = 325 calories
Total number of calories = 920
Thus, we can write the equation:

There are 3 times as many onion rings as the sliders.
Thus, we can write the equation:

Solving the two equation by substitution method, we get,

Thus, there were 6 onion rings and 2 slider in the combination meal.
The answer is C.................................................
The answer would be 2.145
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data below:
Time, t (hours)__1.0__1.5__2.0__2.5__3.0
C(t) (mg/mL)__0.35_0.26_0.20_0.14_0.09
Average change of C with respect to t over the interval :
(i) [1.0, 2.0] (ii) [1.5, 2.0] (iii) [2.0, 2.5] (iv) [2.0, 3.0]
Average change = ( change in C / change in t) = C2 - C1 / t2 - t1
1) [1.0, 2.0]
C at t = 1 = 0.35 ; C at t = 2 = 0.20
(0.20 - 0.35) / (2 - 1) = - 0.15 / 1 = - 0.15 mg/mL hr
11) [1.5, 2.0]
(0.20 - 0.26) / (2.0 - 1.5) = - 0.06 / 0.5 = - 0.12 mg/mL hr
111) [2.0, 2.5]
(0.14 - 0.20) / (2.5 - 2.0) = - 0.06 / 0.5 = - 0.12mg/mL hr
iv) [2.0, 3.0]
(0.09 - 0.20) / (3.0 - 2.0) = - 0.11 / 1.0 = - 0.11 mg/mL hr