We apply the concept of calculus here. You can determine the minimum or maximum in here if you take the derivative of a function and equate it to zero. The solution is as follows:
n = 20t² - 20t +120
dn/dt = 0 = 40t - 20 + 0
40t - 20 = 0
40t = 20
t = 20/40
t = 1/2 or 0.5
Therefore, the number of bacteria would be minimal at 0.5°C.
Answer:
55.5 u^2
Step-by-step explanation:
Split the quadrilateral into 2 triangles. There are two ways to do this, but I'm only doing one of them.
On the 5-11 triangle, use the two of the lengths and plug them into the triangle area formula. (L x W)/2 = A
5-11 triangle area: 27.5
Do the same for the 7-8 triangle. Plug it into the same formula.
7-8 triangle area: 28
Add the two areas. 27.5 + 28 = 55.5
Answer:
Hamish's earning = $20
Harry's earning = $26
Step-by-step explanation:
Given the following :
Let Harry's earning per hour = x
Let Hamish earning per hour = y
Harry earns a dollar more than more than 5/4 the amount hamish earns per hour;
Therefore,
x = 5/4y + 1
x - 5/4y = 1 - - - - (1)
the amount Harry earns per hour is $2 less than 7/5 the amount Hamish earns per hour
x = 7/5y - 2 - - - - (2)
Substituting (2) into (1)
7/5y - 2 - 5/4y = 1
7/5y - 5/4y = 1 + 2
7/5y - 5/4y = 3
Taking the L. C. M
(28y - 25y) / 20 = 3
28y - 25y = 60
3y = 60
y = 20
Substitute y = 20 into (1)
x - 5/4(20) = 1
x - 100/4 = 1
x - 25 = 1
x = 1 + 25
x = 26
y = Hamish's earning = $20
x = Harry's earning = $26
Answer:
I believe it is because it does not start at 0