Answer:
1/3
Step-by-step explanation:
2nd one
Answer:
7 fossils
Step-by-step explanation:
Find the cost for transportation by multiplying 20 by 5, since it is $5 per student and there are 20 students
20(5)
= 100
Subtract this from 128, since they raised $128
128 - 100
= 28
This means they have $28 to spend on fossils.
To find how many they can buy, divide 28 by 4, since they are $4 each
28/4
= 7
So, they can buy 7 fossils with the money they have left
The question is:
Check whether the function:
y = [cos(2x)]/x
is a solution of
xy' + y = -2sin(2x)
with the initial condition y(π/4) = 0
Answer:
To check if the function y = [cos(2x)]/x is a solution of the differential equation xy' + y = -2sin(2x), we need to substitute the value of y and the value of the derivative of y on the left hand side of the differential equation and see if we obtain the right hand side of the equation.
Let us do that.
y = [cos(2x)]/x
y' = (-1/x²) [cos(2x)] - (2/x) [sin(2x)]
Now,
xy' + y = x{(-1/x²) [cos(2x)] - (2/x) [sin(2x)]} + ([cos(2x)]/x
= (-1/x)cos(2x) - 2sin(2x) + (1/x)cos(2x)
= -2sin(2x)
Which is the right hand side of the differential equation.
Hence, y is a solution to the differential equation.
Answer:112.5
Step-by-step explanation
Subtract the Base amount from his goal and then divide the remaining amount to get how many products he must sell
Answer:
8900
Step-by-step explanation:
25 * 89 / 
= 25 * 89 * 4 = 100 * 89 = 8900
