Answer:
C. I,II,III
Step-by-step explanation:
Absolute value is the distance of a number from 0 on a number line. 6 is 6 units from 0, therefore this option is correct. -6 is 5 units to the left of 0, but it is still 6 units away, therefore this option is correct. 6 is 6 units away from 0, therefore, III is correct. But 0 is 0 units away from 0, therefore this option is incorrect.
Answer: distance = 406 miles
speed = 58 miles/hr
Step-by-step explanation:
4 hours - 232 miles
1 hr - 232/4
7 hours - 232/ 4 x 7 = 406 miles
Therefore , her distance is 406 miles for 7 hours.
Speed = distance / time
speed = 406/7 = 58 miles/hr
To get the function y = <span>-2+5sin(pi/12(x-2)), the maximum value can be determined by differentiating the function and equating it to zero. The value of x will give the maximum value of the function.
dy/dx = 5 cos (pi/12 (x-2)) (pi/12)
dy/dx = 5 pi/12 cos(pi/12 (x-2))
Equate to zero</span>:
<span>5 pi/12 cos(pi/12 (x-2)) =0
pi/12 (x-2) = 3pi/2
x = 8
Substituting,
y= -2 + 5sin( pi/12 (8-2)
y = -1.86
</span>
Each angle is 90 degrees because 90 times 3 is 270.
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