Answer: The answer is 8.
Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;
Y^2 - 40.
Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,
Y^2 - 40 = 3Y
If we move all expressions to one side of the equation, what we would have is,
Y^2 - 3Y -40 = 0
(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)
We now have a quadratic equation
Y^2 -3Y - 40 = 0
By factorizing we now have
(Y -8) (Y + 5) = 0
Therefore Y - 8 = 0 or
Y + 5 = 0
Hence, Y = 8 or Y = -5
Since we are asked to calculate the positive solution, Y = 8
Answer: The volume of shell is 12.8π mm².
Step-by-step explanation:
Since we have given that
Radius to the inside of the shell = 4 milimeters
Radius to the outside of the shell = 4.2 milimeters
Since r changes from 4 mm to 4.2 mm
so, 
As we know that
Volume of shell is given by
So, the volume of shell is 12.8π mm².
Answer:
what do u need help wirth
Step-by-step explanation:
Answer:
f(m) = -9
Step-by-step explanation:
We replace m with 5 in the function.
f(m) = 1 - 4(m/2) becomes f(5) = 1 - 4(5/2)
then we solve the numbers in the parenthesis first
= 1 - 4 (5/2)
= 1 - 4 (2.5)
= 1 - 10
= -9
Answer:
60(a+b) means that you would have to distribute
While 60a+ 60b is already in it's simplest form
