Answer:
42.25 feet
Step-by-step explanation:
The height function is a parabola. The maximum value of a negative parabola is at the vertex, which can be found with:
x = -b/2a
where a and b are the coefficients in y = ax² + bx + c.
Here, we have y = -16t² + 52t. So a = -16 and b = 52. The vertex is at:
t = -52 / (2×-16)
t = 13/8
Evaluating the function:
h(13/8) = -16(13/8)² + 52(13/8)
h(13/8) = -169/4 + 169/2
h(13/8) = 169/4
h(13/8) = 42.25
(√10)/(√3)*(√3)/(<span>√3); multiplied by the conjugate which is = (</span><span>√30/3)</span>
Answer:
697
Step-by-step explanation:
Hope It Helps!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Given, the density of a particular brand of gasoline = 0.737 g/ml.
13.4 gallon of tank given. We have to find the mass of gasoline to fill the tank.
First we will convert 13.4 gallon to ml.
We know that 1 gallon = 3.78541 litre
And 1 litre = 1000 ml
So we can write 1 gallon =
= 3785.41 ml.
13.4 gallon =
ml = 50724.494 ml.
Let's take there is x grams of gasoline
We know that density = (mass/ volume) = 
So we can write,

To find x we will multiply both sides by 50724.494. we will get,



So we have got the required answer.
Mass of gasoline = 37383.95 grams.
Answer:

Step-by-step explanation:
