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
Each friend will get 1.35 pounds of pecans.
To find this, simply divide 16.2 by 12 to find the weight of pecans everyone gets. Thus making 1.35 pounds of pecans the answer.
I hope this helps!
Answer:
C. His opportunity cost of one watermelon is 2/3 of a cantaloupe.
c. Fewer households can afford luxury imports
Step-by-step explanation: Opportunity Cost is an economic term used to describe the benefits or profits which a person or an investor gives up in order to make choice between alternatives.
Recession is a term used in economics to refer a state of decline in the general productive economic activities of a country or an economy, it is also the state of an economy where the Gross domestic product (GDP) growth is in the negative.
Answer:1/5
if u do the work in ur head by adding and divide then multiplying the fractions and then divided it by 2.231 u get 1/5 on a calculator
Answer:
Total number of students = 360
Total number of girls = 120
Total number of boys = x / ?
120/240= 1/2
50%
Step-by-step explanation: To find out the percent of the boys you first
subtract the whole amount of students which is 360 students in total to the number of girls (120) resulting 240. 240 in ratio is 1/2. 1/2 is 50%.
(Not sure, if this helps or not. I try my best to answer questions to make the asker to understand! Sorry, I tried. :c)
