Answer:
6(x^2-3)
Step-by-step explanation:
Answer:
a) C.
b) B.
Step-by-step explanation:
Remember that the premise is <u>a statement that will led to a conclusion and justifies it.</u>
<u />
a) In the sentence "He refused to testify by invoking his Fifth Amendment rights, so he must be guilty" the premise is: "He refused to testify by invoking his Fifth Amendment rights" because it follows from this that, therefore, he <u>must</u> be guilty (by not testifying, the person who said this reaches the conclusion that he must be guilty).
Thus, the correct answer is C.
b) Briefly describe how the stated fallacy occurs in the argument.
In this argument, the conclusion leaves no place for another outcome (because the conclusion is that he MUST be guilty), therefore it is stated as if being guilty is the only possible conclusion.
Thus, the correct answer is B.
Consider the point P where the gears meet. When the smaller gear rotates clockwise, the larger one will rotate counterclockwise.
Through one rotation of the smaller gear, P will have traveled the circumference of the smaller gear, which is 
in.
At the same time, a point P' on the larger gear traverses the same distance along the larger gear's circumference. This point traces out an arc that is subtended by some angle 
. The arc is as long as the smaller gear's circumference.
The measure of a circle's interior angle subtended by an arc is proportional to a complete revolution, i.e. an angular displacement of 
radians:
For part 2, we apply the same reasoning to the larger gear. In one full rotation of the larger gear, the point P' traverses the circumference 
in, and so does the point P on the smaller gear.
A full rotation is 360 degrees, so the smaller gear would have rotated 
times.
Answer:
Step-by-step explanation:
Divide both sides by 50 and you'll get x=17/50
If x is the exponent than we can take the natural log of both sides.
x(ln)50=ln(17)
Then divide ln50 on both sides
x=ln17/ln50= 0.72423228087
