Answer:
y = 5cos(πx/4) +11
Step-by-step explanation:
The radius is 5 ft, so that will be the multiplier of the trig function.
The car starts at the top of the wheel, so the appropriate trig function is cosine, which is 1 (its maximum value) when its argument is zero.
The period is 8 seconds, so the argument of the cosine function will be 2π(x/8) = πx/4. This changes by 2π when x changes by 8.
The centerline of the wheel is the sum of the minimum and the radius, so is 6+5 = 11 ft. This is the offset of the scaled cosine function.
Putting that all together, you get
... y = 5cos(π/4x) + 11
_____
The answer selections don't seem to consistently identify the argument of the trig function properly. We assume that π/4(x) means (πx/4), where this product is the argument of the trig function.
The cost of a single shot is
.78 +.52 +.96 = 2.26
they charge 25 a shot
25 - 2.26 = 22.74
there is a profit of 22.74 per shot
22.74 * 167 =3797.58
They make $3797.58
Remember when you learning about the "Least Common
Multiple" and you wondered when in the world you would
ever need to use it ?
Well, here you are ! Hello !
The next time they will cross the starting line together is the
LCM (Least Common Multiple) of 30 and 40 .
Do you remember how to find it ?
Here's one easy way:
Count by 30s until you come to a number that's divisible by 40 .
Laura's first lap. . . . . . . . 30 seconds . . . not divisible by 40
Laura's two laps . . . . . . . 60 seconds . . . not divisible by 40
Laura's three laps. . . . . . 90 seconds . . . not divisible by 40
Laura's four laps. . . . . . 120 seconds . . . divisible by 40
After 120 seconds, Laura has completed four laps,
Shelby has completed only three laps.
A. 12•8=96, 96/2=48, 48•4=192, 12•12=144, 192+144=336
Answer:
![r = \sqrt[3]{\dfrac{3V}{4 \pi}}](https://tex.z-dn.net/?f=%20r%20%3D%20%5Csqrt%5B3%5D%7B%5Cdfrac%7B3V%7D%7B4%20%5Cpi%7D%7D%20)
Step-by-step explanation:
