Answer:
D is the right one
Step-by-step explanation:
π radian = 180 degree
-> 135 degree = 
π radian
-> 135 degree = 0.75 * π radians = 3π/4 radian
assuming you means k = log_2(3) [as log(2)3 is the same thing as 3log(2) due to multiplication being commutative]
given log(ab) = log(a) + log(b)
log_2(48) = log_2(3) + log_2(16)
Answer:
The 9 ounce box is the better deal, and Kyle will save 2 cents.
Step-by-step explanation:
First, you should find how much 1 once would cost in the 9 ounce box.
Do 2.52 ÷ 9 = x
x = 0.28
This means that in the <u>9 ounce box, one ounce costs 28 cents</u>.
Now, find how much one once would cost in the 12 ounce box.
3.60 ÷ 12 = x
x = 0.30
This means that in the <u>12 ounce box, one ounce costs 30 cents</u>.
This means that the 9 ounce box is a better deal, because it costs less per ounce.
0.30 - 0.28 = 0.02. This means there is a 2 cent difference in their prices per ounce.
So, Kyle should choose the 9 ounce box, and he will save 2 cents per box.
Answer:
The proof contains a simple direct proof, wrapped inside the unnecessary logical packaging of a proof by contradiction framework.
Step-by-step explanation:
The proof is rigourous and well written, so we discard the second answer.
This is not a fake proof by contradiction: it does not have any logical fallacies (circular arguments) or additional assumptions, like, for example, the "proof" of "All the horses are the same color". It is factually correct, but it can be rewritten as a direct proof.
A meaningful proof by contradiction depends strongly on the assumption that the statement to prove is false. In this argument, we only this assumption once, thus it is innecessary. Other proofs by contradiction, like the proof of "The square root of 2 is irrational" or Euclid's proof of the infinitude of primes, develop a longer argument based on the new assumption, but this proof doesn't.
To rewrite this without the superfluous framework, erase the parts "Suppose that the statement is false" and "The fact that the statement is true contradicts the assumption that the statement is false. Thus, the assumption that the statement was false must have been false. Thus, the statement is true."
