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:B At least 4 pounds but less than 6 pounds.
Step-by-step explanation:
Answer: 0.4 miles
Step-by-step explanation:
You can use the equation y=1/5x to help you figure it out where x is the days and y is the length. y=1/5(2). y=2/5 or 0.4 miles. Please vote my answer as brainliest
Answer: Rs. 11,520
Step-by-step explanation:
As the method of compounding is not stated, the default of simple interest will be used.
Simple interest is a fixed amount that is paid over the course of the loan and is based on the original amount borrowed.
Formula is:
Amount owed = Amount borrowed * ( 1 + rate * time)
= 8,000 * ( 1 + 8% * 5.5 years)
= 8,000 * 1.44
= rs 11,520
