Answer:
The pressure is changing at
Step-by-step explanation:
Suppose we have two quantities, which are connected to each other and both changing with time. A related rate problem is a problem in which we know the rate of change of one of the quantities and want to find the rate of change of the other quantity.
We know that the volume is decreasing at the rate of and we want to find at what rate is the pressure changing.
The equation that model this situation is
Differentiate both sides with respect to time t.
The Product rule tells us how to differentiate expressions that are the product of two other, more basic, expressions:
Apply this rule to our expression we get
Solve for
when P = 23 kg/cm2, V = 35 cm3, and this becomes
The pressure is changing at .
Let's solve and find out.
4(2n - 4) + 3 = 8n - 19
8n - 16 + 3 = 8n - 19
8n - 13 = 8n - 19
-13 = -19
-13 and -19 are not equal, so the equation has no solutions.
Answer:
A. 0
To find how much Henry can expect to receive from Social Security on a monthly basis, we first need to find how much he cant expect to receive from social security per year.
We know form our problem that Henry averaged an annual salary of $45,620, so to find how much can Henry expect to receive from Social Security per year, we just need to find the 42% of $45,620.
To find the 42% of $45,620, we are going to convert 42% to a decimal by dividing it by 100%, and then we are going to multiply the resulting decimal by $45,620:
Social security annual payment = (0.42)($45,620) = $19,160.40
Since there are 12 month in a year, we just need to divided the social security annual payment by 12 to find how much he can expect to receive each month.
Social security monthly payment = = $1.596.70
We can conclude that Henry can expect to receive $1.596.70 monthly from Social Security.
Answer:
A. 49
Step-by-step explanation:
The average rate of change for the interval ranging from x = 3 to x = 5 for the given function represented in the table above can be calculated using:
x2 = 5
x1 = 3
f(x2) = f(5) = 125
f(x1) = f(3) = 27
Thus,
Average rate of change = 49
Average rate of change of the given table values representing an exponential function is A. 49.