Answer:
16,700
Step-by-step explanation:
Given that,
Earning of Ethan = 38,428
Ethan spends 21,728 on expenses.
We need to find the amount of money he has left over. It can be calculated as follows :
Left money = Earning - Spent
= 38,428 - 21,728
= 16,700
So, he has left over 16,700.
Answer:
Step-by-step explanation:
Here's the formula for the volume of a right circular cylinder:
Here's what we are given and what we need to find:
Given that d = 10 cm, h = 20 cm, dd/dt = 1 cm/sec
Need to find dh/dt when V is constant
Since our formula has a radius in it and not a diameter but the info given is a diameter, we can use the substitution that
so
Now we can rewrite the formula in terms of diameter:
which simplifies down to
Now we will take the derivative of this equation with respect to time using the product rule. That derivative is
Now we can fill in our values. Keep in mind that if the volume is constant, there is no change in the volume, so dV/dt = 0.
and
Multiply both sides by pi/4 to get
and solve for dh/dt:
Interpreted within the context of our problem, this means that the volume will be constant at those given values of diameter and height when the liquid in the cylinder is dropping at a rate of 4 cm/sec.
Answer:
The height of the density function is
Step-by-step explanation:
Given : A random variable X follows the continuous uniform distribution with a lower bound of −4 and an upper bound of 18.
To find : What is the height of the density function f(x)?
Solution :
According to question,
The height of the density function is given by,
Where, a is the lower bound a=-4
b is the upper bound b=18
Substitute the value in the formula,
Therefore, The height of the density function is
Answer:
you can see when you put x = -3 you get 0 for g(x)
so we can write g(x) = 3+x because if we put x to be -3 in this equation you get 0.
a. h(0) = f(0)g(0), g(0) = 3+0= 3
h(0) = f(0)x3, now In the graph f(x) we can see at x=0, y is -1.
now h(0) = -1x3 = -3 (answer)
b. (-infinity, +infinity) or (-2, inf) I'm not sure.
c. values that yeild h(x)=0 are; -3, 3, -1.
Answer:
Step-by-step explanation:
Fred does not shade any model
Edwards shades nine tenths : 0.9
Jeff shades shades seven tenths : 0.7
so add 0.9 + 0.7, you get 0.16 : sixteen hundredths .