Option B: 5 is the value of f(3)
Explanation:
The equation of the piecewise function is given by
We need to find the value of 
The value of the function f can be determined when 
by identifying in which interval does the value of lie in the piecewise function.
Thus, lies in the interval 
, the function f is given by
Substituting in the function , we get,
Thus, the value of is 5.
Therefore, Option B is the correct answer.
The second equation is <span>-5-2y=2, then
</span>
<span>-2y=2-(-5),
</span>
-2y=2+5,
-2y=7,
y=7÷(-2),
y=-3.5.
The first equation is 2x+5y=16, subtitude y=-3.5 in this equation, then
2x+5·(-3.5)=16,
2x-17.5=16,
2x=16-(-17.5),
2x=16+17.5,
2x=33.5,
x=33.5÷2,
x=16.75.
Answer: (16.75,-3.5)
Answer:
13.98 in²
Step-by-step explanation:
I don't understand it, either.
Point N is part of a "segment" that above and to the right of chord MO. It is the sum of the areas of 3/4 of the circle and a right triangle with 7-inch sides. The larger segment MO to the upper right of chord MO has an area of about 139.95 in², which <u>is not</u> an answer choice.
__
The remaining segment, to the lower left of chord MO does not seem to have anything to do with point N. However, its area is 13.98 in², which <u>is</u> an answer choice. Therefore, we think the question is about this segment, and we wonder why it is called MNO.
The area of a segment is given by the formula ...
A = (1/2)(θ -sin(θ))r² . . . . . . where θ is the central angle in radians.
Here, we have θ = π/2, r = 7 in, so we can compute the area of the smaller segment MO as ...
A = (1/2)(π/2 -sin(π/2))(7 in)² = 24.5(π/2 -1) in² ≈ 13.9845 in²
Rounded to hundredths, this is ...
≈ 13.98 in²
Answer:
After 16 rounds the champion of Ping-Pong player can be determined.
Step-by-step explanation:
This is an example of geometric progression,
First term = 65,536
Now we need to find which term is 1 in this GP.
N th term of GP is given by
Substituting
Seventeenth term of this GP is 1.
That is after 16 rounds the champion of Ping-Pong player can be determined.
