Answer:
dV = - 5.73*10⁹ m³/s
Step-by-step explanation:
Question: What is the rate of change of the volume of the prism at that instant (in cubic meters per second) ?
A function can be dependent on one or more variables. The change in the function due to a change in one o its variables is given by the functions derivative with respect to that variable. For functions that are composed of products of its variables, we may use the product rule to determine its derivative.
The volume of a square prism with base a and height h is given by
V = a²h
When the base and height are changing, we have
dV = 2ah(da/dt) + a²(dh/dt)
Given
a = 4 Km
h = 9 Km
da/dt = - 7 Km/min
dh/dt = 10 Km/min
we have
dV = 2(4 Km)(9 Km)(- 7 Km/min) + (4 Km)²(10 Km/min)
⇒ dV = - 504 Km³/min + 160 Km³/min = - 344 Km³/min
⇒ dV = - 5.73*10⁹ m³/s
Answer:
The Answer Is 125.
Step-by-step explanation:
As, 18 More Than K Means
18 More Than 7
So, It's 25
Then Evaluate 25 With 5
It's 25(5)
Or 25 × 5
It's 125.
The absolute change in price was $12−$8=$4. Relative to the original price, it was 412, which is 0.3333 or 33.33%.
The answer was 1,150.0 but as a whole number its 1,150.
Answer:
The total cost of resurface the path is 
Step-by-step explanation:
step 1
Find the area of the path
The area of the path is equal to the area of the path plus the swimming pool minus the area of the swimming pool
step 2
Find the cost of resurface the path
Multiply the area of the path by $2 per square foot
Answer:
Step-by-step explanation:
Prepare closing entireties for the concert hall bond fund
