Answer:
a. see attached
b. H(t) = 12 -10cos(πt/10)
c. H(16) ≈ 8.91 m
Step-by-step explanation:
<h3>a.</h3>
The cosine function has its extreme (positive) value when its argument is 0, so we like to use that function for circular motion problems that have an extreme value at t=0. The midline of the function needs to be adjusted upward from 0 to a value that is 2 m more than the 10 m radius. The amplitude of the function will be the 10 m radius. The period of the function is 20 seconds, so the cosine function will be scaled so that one full period is completed at t=20. That is, the argument of the cosine will be 2π(t/20) = πt/10.
The function describing the height will be ...
H(t) = 12 -10cos(πt/10)
The graph of it is attached.
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<h3>b. </h3>
See part a.
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<h3>c.</h3>
The wheel will reach the top of its travel after 1/2 of its period, or t=10. Then 6 seconds later is t=16.
H(16) = 12 -10cos(π(16/10) = 12 -10cos(1.6π) ≈ 12 -10(0.309017) ≈ 8.90983
The height of the rider 6 seconds after passing the top will be about 8.91 m.
Answer:
A. y = 17x
B. 867 fluid ounces
C. 3 bottles
Step-by-step explanation:
There are few bottles of water that each contain 17 fluid ounces of water.
A. If the number of bottles is given by x and the total volume of water those bottles contain is y in fluid ounces, then the equation that relates x and y is
y = 17x ...... (1) (Answer)
B. If x =51, then the volume of water in 51 bottles will be given by equation (1) as
y = 51 × 17 = 867 fluid ounces. (Answer)
C. If y = 51 fluid ounces, then from equation (1), the number of bottles will be given by x = 51/17 =3 bottles. (Answer)
Answer:6
Step-by-step explanation:
The basic metric unit of capacity is gallon.
Why gallon? because when you say capacity, it means that the maximum amount of somethings that it can hold. For example you will find the maximum capacity of your truck to carry gas, you will say around 3 gallons.
X=kevin
<span>y=steve </span>
<span>x+y=26 </span>
<span>x=4+y </span>
(4+y)+y=26
<span>-4 -4 </span>
<span>y+y=22 </span>
2y=22
<span>/2 /2
</span>
<span>y=11 </span>
<span>steve ran 11 miles</span>
