all students = 150
M = 60
S = 45
M and S = 25
(a) At least one of the two requirements:
M or S = M + S - (M and S) = 60 + 45 - 25 = 80
(b) Exactly one of the two requirements:
(M or S) - (M and S) = 80 - 25 = 55
(c) Neither requirement:
(all students) - (M or S) = 150 - 80 = 70
Answer:
n = 1 second formula
n = 0 first formula
Step-by-step explanation:
I answer this in the other question you put, here it is again.
This is easy to get. We know the sequence cause it follows a pattern of 8, so let's try some values of n from 1 to 4, to get those numbers with the first formula:
n = 1,2,3,4
f(1) = 8(1) + 2 = 10
f(2) = 8(2) + 2 = 18
f(3) = 8(3) + 2 = 26
f(4) = 8(4) + 2 = 34
As you can see, with the first formula, the first term is 10, and not 2. The only way to get 2 with n = 1 is with the second formula:
f(1) = 8(1) - 6 = 2
f(2) = 8(2) - 6 = 10
f(3) = 8(3) - 6 = 18
f(4) = 8(4) - 6 = 26
With n = 1, the second formula was better and correct.
The first formula could be right only beggining with n = 0. Here is the proof:
f(0) = 8(0) + 2 = 2
The tangent to 
at the point (0, 5) has a slope equal to the derivative evaluated at 
.
This tangent passes through the point (0, 5), so its equation is
The normal line passes through the same point, but is perpendicular to the tangent line, so its slope is the negative reciprocal of the slope of the tangent. So the equation for the normal line is
Using Pythagoras in the first question
c=
which is approximately 16.5
for the second question
we also use Pythagoras
Answer:
See below in bold.
Step-by-step explanation:
1 teaspoon holds 5 ccs so that is 2 teaspoons per dose.
2 teaspoons every 6 hours is 4 * 2 = 8 teaspoons per day.
