Answer:
1 ton is equal to 2000 lbs
To find how many lbs is 3 tons, multiply 2000 by 3
2000 times 3 is 6000
So, 3 T = 6000 lbs
Hope I helped!
Answer:
397,561 copies have been sold to date
Step-by-step explanation:
If 32,600 copies represent 8.2% of the whole
Let's assume the whole is Y
Therefore 8.2% of Y = 32,600 copies
Let's make Y the subject of formula by dividing both sides of the equation by 8.2%
(8.2% x Y) divided by 8.2% = 32,600 divided by 8.2%
Y = 32,600 / 8.2% = 397,561
X + 4 units
4 x 4 = 16 units
112 - 16 units = 96 units divided by four (number of sides of garden) =
24. X = 24
However to check
24 + 4= 28
x 4
___
112 So X=24
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.
The rate of change between 1990 and 1999 is 15.22
Step-by-step explanation:
The rate of change in this case is given by change in quantity divided by change in time
So,
Hence,
The rate of change between 1990 and 1999 is 15.22
Keywords: Rate of change, median
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