Answer:
B. 467
A yellow ball will be selected about 467 times.
Answer:
50,66.7,80
Step-by-step explanation:
100/2= 50
200/3=66.7
400/5=80
Ok, here we go. Pay attention. The formula for the arc length is

. That means that to use that formula we have to find the derivative of the function and square it. Our function is y = 4x-5, so y'=4. Our formula now, filled in accordingly, is

(that 1 is supposed to be negative; not sure if it is til I post the final answer). After the simplification we have the integral from -1 to 2 of

. Integrating that we have

from -1 to 2.

gives us

. Now we need to do the distance formula with this. But we need 2 coordinates for that. Our bounds are x=-1 and x=2. We will fill those x values in to the function and solve for y. When x = -1, y=4(-1)-5 and y = -9. So the point is (-1, -9). Doing the same with x = 2, y=4(2)-5 and y = 3. So the point is (2, 3). Use those in the distance formula accordingly:

which simplifies to

. The square root of 153 can be simplified into the square root of 9*17. Pulling out the perfect square of 9 as a 3 leaves us with

. And there you go!
Answer: x=24
Step-by-step explanation:
First, we know that 2/3 of something is 16. So, we are going to find 1/3. To do this, we divide 16 by 2 because 2 is the numerator. We get 8 as our answer.
Next, now we have to find the full value. To do this, we need to multiply 8 by 3 to get 3/3 (our full number-answer). When you multiply 8 by 3, you get 24 as your answer.
Finally, finish the equation. Substitute x for 24, so the equation looks like this: (24) x 2/3 = 16.
Hope this helps!