Determine the slope of line AB
m = 5
Determine the slope of the lines from the options
First option: y = 5x + 3, the slope is 5
Second option: y = (1/5)x + 3, the slope is 1/5
Third option: y = -5x + 3, the slope is -5
Fourth option: y = (-1/5)x + 3, the slope is -1/5
Parallel lines are similar in the slope. So the line which is parallel to line AB must have the slope of 5.
The answer is first option.
Answer:
Billy’s angular velocity, is 1508.16 radians per second
Step-by-step explanation:
We have to find angular velocity in radians per second
we have given angular velocity w = 4 revolutions per minute
we have to convert revolutions into radians and minutes into seconds.
so, we use the following conversion:
1 rev = 2* pi radians (where pi = 22/7 or 3.142)
1 min = 60 sec
putting the values in our equation : w = 4 revolutions per minute
=> w= 4 * ( 2* 3.142) *60
=> w= 1508.16 radians per second
hence Billy’s angular velocity, is 1508.16 radians per second
Jana was prescribed medication. m = 250(0.75)^h
6 hours after Jana took her medication, Allison was prescribed the same.
m=250(0.75)^(h-6)
<span>At any time after she has taken the medication, Allison has how many times more milligrams of medication in her body?
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Same with Jana, Allison's medication content in her body will decrease by 25% after each hour.
Let h = 6
Jana: m = 250(0.75)^6 = 250(0.178) = 44.50
Allison: m = 250(0.75)^6-6 = 250(1) = 250
250 - 44.50 = 205.50
On hour 6, Allison will have 205.5 mg more of the medicine than Jana.
