Answer:
No, unless the function decides to follow a different pattern. See more explanation below.
Step-by-step explanation:
He is wrong, the table doesn't tell us what happens at x=6.
It does tell us the following:
1) When x=-4, f(x)=6.
2) When x=-2, f(x)=3.
3) When x=0, f(x)=-1.
4) When x=2, f(x)=-4.
So maybe he got it the x and f(x) value switched in his brain.
Because according to 1) x=-4 when f(x)=6.
If the points keep having x increase while y decreases, then every x>2 will have a y less than -4 correspond to it.
The fact that the first chosen student was a girl is already decided, so there is no need to find the probability of that happening. There are a total of 13+10, or 23 students. A girl was already selected, so that leaves 22 students. The chance that a boy is chosen is 10/22, or 5/11.
78+24+11+56+23+117+1
=310
To arrive at the answer, I graphed the piecewise function using a graphing calculator, then evaluated it at x=38 and x=52. I drew a line at y=445 and found the point of intersection on the graph.
a) The difference between earnings for 52 hours ($580) and earnings for 38 hours ($380) is
$200.
b) An employee must work
43 hours to earn $445.
9514 1404 393
Answer:
164π cm²
Step-by-step explanation:
The area of a circle is given by the formula ...
A = πr²
The radius (r) is half the diameter (d), so the area of a semicircle in terms of its diameter is ...
1/2A = (1/2)(π)(d/2)² = (π/8)d²
The given shape is the combination of three (3) semicircles. The smallest has a diameter of 6 cm; the middle-sized one has a diameter of (32 cm -6 cm -8 cm) = 18 cm. The largest has a diameter of 32 cm.
The total area will be ...
area of largest + area of middle-size - area of smallest
= (π/8)(32² +18² -6²) = (π/8)(1312) . . . . cm²
The area of the shape is 164π cm².
