Answer: 10.5
Step-by-step explanation:
C = Pi * d where C = circumference, d = diameter, r = radius
C = 2*pi *r
we need to watch the units since they are different
Pool A
C = 2 * pi * r
C = 2 * pi * 12 = 24 * pi in feet
Pool B
C = pi * d
change meters to feet
7.5 m * 3.28 ft/ 1 m = 24.6 ft
C = pi * 24.6 = 24.6* pi in ft
Pool B had a greater circumference
24.6 * pi > 24 pi
The attached picture is a summary of all the six transformations you'd do.
Any change outside the f(x) notation impacts y-values of points on the graph.
Any changes inside the f(x) notation impacts x-values of points on the graph.
The trick is that the inside changes are usually the opposite of what you'd expect to have happen.
7. y=f(x)+8
This is an outside change. You're adding 8 to all the y-values of points on the graph. This will shift your entire graph up 8 units.
8. y=f(x+6)
This is an inside change. Because it says "+6", you want to think, "Ah! That means I'll actually subtract 6 from the x-value of every point on the graph." This graph is shifted 6 units to the left.
9. y=-f(x)
Inside change, impacts y-values. Every y-value will be given the opposite signs. Negatives become positive and positives become negative. This will flip your graph over the x-axis.
10. y = f(-x) + 5
Give this one a shot on your own first in a comment and I'll let you know how you did.
11. y = - 3 f(x-3)
There are three things happening. A negative on the outside, multiplying by 3 on the outside, and subtracting 3 inside. What will each of those do individually? Take a shot on this one and let me know what you think.
12. y = 1/2 f( 1/2 x )
Again, three changes. Try this one and let me know what you think. Remember multiplying by 1/2 inside really means you'll do the opposite of multiplying by 1/2.
Answer:
31
Step-by-step explanation:
16+14+1 = 31
There is a possibility that I pick out all (16) green marbles, then all (14) blue ones and the following (31-th) marble must be red