Answer:
The period of the sine curve is the length of one cycle of the curve. The natural period of the sine curve is 2π. So, a coefficient of b=1 is equivalent to a period of 2π. To get the period of the sine curve for any coefficient b, just divide 2π by the coefficient b to get the new period of the curve.
Step-by-step explanation:
Answer:C
Step-by-step explanation:
Answer:

Step-by-step explanation:
The given expression is :

It can be solved as follows :

So, the solution of the given expression is equal to
.
Answer:
In terms of P, the price of the sweater after the discount is 0.72P.
Step-by-step explanation:
Since the price P would represent 100% and the price was discounted by 10%, you can calculate 10% of 100% and subtract that amount, which would be:
100*10%=10
100-10=90%
This means that the price paid would be 90% of P. Then, the statement says that the price was discounted by another 20%. So, you have to calculate 20% of the price and subtract that amount from the price:
90*20%=18
90-18=72%
According to this, this means that in terms of P, the price of the sweater after the discount is 0.72P.
Answer:

Step-by-step explanation:
The standard equation of a circle is given by:

Where (<em>h, k</em>) is the center and <em>r</em> is the radius.
We are given that the center is (4, -7) and that the radius is √(43).
So, <em>h</em> = 4, <em>k</em> = -7, and <em>r</em> = √(43). Substitute:

Simplify. Hence, our equation is:
