Answer:
b
Step-by-step explanation:
Answer:
4h+1.5
Step-by-step explanation:
Answer: C= 3x -8
C is the amount of cookies left. X is he number in each batch.
Step-by-step explanation:
If she made the cookies in the bath, they could be very soggy and difficult to count!
Answer:
y = -6 * x^3
Step-by-step explanation:
We can model the new function as:
f(x) = ax^3
the function y = x^3 have positive values of y for positive values of x, and negative values of y for negative values of x.
As the negative values of x have positive values of y and vice-versa, the first change is to put a negative sign in front of x^3, so we know that 'a' is negative.
Then, for x=1 we have y = -6, so:
-6 = a*1^3
a = -6
So the equation of the transformed function is:
y = -6 * x^3
Answer: 6.28 inches.
Step-by-step explanation:
Formula :
i) Area of sector :
, where x = central angle and r is radius
ii) Length of arc : ![l=\dfrac{x}{360}\times2\pi r](https://tex.z-dn.net/?f=l%3D%5Cdfrac%7Bx%7D%7B360%7D%5Ctimes2%5Cpi%20r)
Given , r= 6 in.
A =
inches
Put these values in (i) , we get
![3\pi =\dfrac{x}{360}\times\pi (3)^2\\\\\Rightarrow\ 1=\dfrac{x}{120}\\\\\Rightarrow\ x=120^{\circ}](https://tex.z-dn.net/?f=3%5Cpi%20%3D%5Cdfrac%7Bx%7D%7B360%7D%5Ctimes%5Cpi%20%283%29%5E2%5C%5C%5C%5C%5CRightarrow%5C%201%3D%5Cdfrac%7Bx%7D%7B120%7D%5C%5C%5C%5C%5CRightarrow%5C%20x%3D120%5E%7B%5Ccirc%7D)
Now , put values of x and r in (ii) , we get
![l=\dfrac{120}{360}\times2\pi(3)\\\\\Rightarrow\ l=2\pi = 2(3.14)=6.28\text{ inches}](https://tex.z-dn.net/?f=l%3D%5Cdfrac%7B120%7D%7B360%7D%5Ctimes2%5Cpi%283%29%5C%5C%5C%5C%5CRightarrow%5C%20l%3D2%5Cpi%20%3D%202%283.14%29%3D6.28%5Ctext%7B%20inches%7D)
Hence, the length of the arc is 6.28 inches.