Answer:
192 cm^3/min
Step-by-step explanation:
Differentiating the volume expression, we get ...
dV/dt = 2xh(dx/dt) +x^2(dh/dt)
We are given that ...
x = 4 cm, dx/dt = 2 cm/min, h = 15 cm, dh/dt = -3 cm/min
Putting these values into the formula for volume rate of change, we get ...
dV/dt = 2(4 cm)(15 cm)(2 cm/min) +(4 cm)^2(-3 cm/min)
= 240 cm^3/min -48 cm^3/min
dV/dt = 192 cm^3/min
81,149, 274.... adding three numbers from the last would help you
like if you take 7 = 4 + 2 +1
or 13 = 7 + 4 +2
similarly 44+24+13 = 81
81+44 +24 = 149
149 + 81 +44 = 274
hope you get it!
Answer:
Step-by-step explanation:
1. find out how many times 21 can go into 52 (answer- 2 times)
2. find the remainder (answer- 10)
3. put the remainder over 21 (10/21)
4. make it a mixed number (2 10/21)
There are 4 possible outcomes based on 2 types of wash (deluxe wash & other wash) and 2 vacuum uses (with vacuum and no vacuum). Since customers are equally likely to choose between these, we can run a uniform distribution from 1-4, where each represents one outcome. For example, 1 = deluxe+vacuum, 2=deluxe+no vacuum, 3=other wash+vacuum, 4=other wash+no vacuum. Then after running a large number of simulations (ex. 1000), count the number of the desired result (which is the number 2), and divide by the total number. This will give the probability.
There are 6 possible outcomes for die A and 6 possible outcomes for die B.
Each of the 6 outcomes of die A can be combined with each of the 6 outcomes of die B. Therefore the total number of possible outcomes for each roll is given by:
