In order to answer this question, we use the concept of ratio and proportion wherein we use the equation,
R1 / T2 = R2 / T1
where R is for rate and T is for time. Substituting the known values to the equation,
(600)/x = (400)/ 20
The value of x from the equation is 30. Thus, it will take 30 hours if the rate was adjusted to 400 gallons per minute.
Possible outcomes: 10C4 = 210 ( combinations - we choose 4 of 10 people )
Favorable outcomes: ( 2C1 ) · ( 8C3 ) = 2 · 56 = 112
Probability : 112 / 210 = 0.5333 ( or 53.33 % ).
Answer:
A and C and D
Step-by-step explanation:
Perimeter is the sum of all of the side lengths. w + w + (w + 2) + (w + 2) = 4w + 4 = A and C and D
Answer:
0.75s , 15ft
Step-by-step explanation:
Use Derivatives,
Notice that the above function is a quadratic curve, meaning it has either a maximum or minimum point, which is the turning point and that is what we are solving for to find a 'max' or 'min'.
h =
(-16t² + 24t + 6)
= -32t + 24
At turning points (max/min),
the gradient is 0 meaning,
= -32t + 24 = 0.
t = 24/32 = 3/4
so time = 0.75 second
Substitute this t into the function,
we get h = -16 * 0.75 *0.75 + 24 * 0.75 + 6 = 15ft