Answer:
14hrs
Step-by-step explanation:
v = speed in still water
t = downstream trip time
d = distance = 182 miles; same distance both downstream and upstream
t + 12 = upstream return trip time
u = current flow = 3 mph
Downstream: d = (v + u)t; Upstream: d = (v - u)(t + 12)
(v - 3)(t + 12) = 182 (equation 1)
(v + 3)t = 182 (equation 2)
Subtract equation 2 from equation 1 to get t:
(vt + 12v -3t -36) - (vt + 3t) = 0
12v - 6t - 36 = 0
t = 2v - 6
Substitute this result for t into equation 2 and solve for v:
(v + 3)(2v - 6) = 182
2v^2 - 6v + 6v - 18 = 182
v^2 = 100
v = 10 mph
t = 2v - 6 = [2(10) - 6] hrs = 14 hrs
Answer:
12n -5 ≤ 55
Step-by-step explanation:
12 times a number (represented by n) is 12n.
"Decreased by 5" means 5 is subtracted from the product, giving 12n-5.
"Is no more than 55" means "is less than or equal to 55".
Then the expression written using math symbols is ...
12n -5 ≤ 55
- We have given two figures that rectangle and parallelogram
- The base and height of parallelogram is 7ft and 5ft
- The length and breath of rectangle is 3ft and 1ft .
- We have to find the area of shaded part?
Firstly, we will calculate the area of parallelogram then area of rectangle after that we will subtract the area of rectangle from the area of parallelogram then we got the area of shaded part.
By completing the square: x²-8x+19 = (x-4)²-16+19 = (x-4)²+3 so minimum point = (4,3)
By calculus: f'(x) = 2x-8. (minimum point occurs when f'(x)=0 therefore)
2x-8 = 0 means x=4 and the corresponding y value is 3.
The minimum value of this function (y) is 3 and this occurs when x = 4.
Answer:
y=-(1)/(2)x-5
Step-by-step explanation:
