Answer:
dy/dt = - (1/5) ft/s = - 0.2 ft/s
Step-by-step explanation:
Given
L = 5 ft
Qin = 25 ft³/s
Qout = 30 ft³/s
h = 10 ft
dy/dt = ?
We can apply the relation
ΔQ = Qint - Qout = 25 ft³/s - 30 ft³/s
⇒ ΔQ = - 5 ft³/s
Then we use the formula
Q = v*A
where Q = ΔQ, A = L² is the area of square base and v = dy/dt is the rate of change in the depth of the solution in the tank
⇒ ΔQ = (dy/dt)*L²
⇒ dy/dt = ΔQ/L²
⇒ dy/dt = (- 5 ft³/s)/(5 ft)²
⇒ dy/dt = - (1/5) ft/s = - 0.2 ft/s
9/10 + 8/100
9/10 + 2×4/25×4
Common denominator is 50.
9/10 + 2/25.
5×9/5×10 + 2×2/2×25
45/50 + 4/50
= 49/50
Answer:
B
Step-by-step explanation:
Two numbers are relatively prime when there is no integer greater than one that that is a factor of both of them.
A: 15 and 21 both have a factor of 3.
<u>B</u>: 24 and 49 have no common factors, and therefore, are relatively prime.
C. 35 and 135 both have a factor of 5.
D: 45 and 102 both have a factor of 3.
Answer:
-11
Step-by-step explanation:
7 - 3 - 5 - 10
4 - 5 - 10
- 1 - 10
-11
The closest answer is 95 square inches. Here is why. You can find the area of the rectangle by multiplying the length by the width. This would be 15 x 5 = 75 square inches. The area of the whole circle that is created when you put both halves together would be found by multiplying 3.14 x 2.5 in (the radius) x 2.5 in. This answer is about 20 square inches. The combined area is approximately 95 square inches.
