Answer: It will take
weeks to repair this stretch of road.
Step-by-step explanation:
Since we have given that
Part of road needs repair = 
Part of road worker can repair per week = 
We need to find the number of weeks that it will take to repair this stretch of road.
So, Number of weeks is given by

Hence, it will take
weeks to repair this stretch of road.
Answer:
Option a
Step-by-step explanation:
Given that all of the seniors and none of the freshmen voted for it.
Some of the juniors and some of the sophomores voted for the proposal and some voted against it.
If the proposal was to be adopted then a simple of majority of votes should have been cast.
Since all seniors voted for it, and no freshmen number of freshmen has to be less than seniors then only majority would have voted.
Regarding juniors and sophomores we assume some voted and some against thus approximately nullifying their votes.
So the correct option would be
a. There are more seniors than freshmen on the council.
Option b wrong since only some voted for it.
C is wrong because actual seniors were not given.
D is wrong because while seniors voted for sophomores voted against.
e is wrong since sophomores and freshmen nullified each other
Answer:

Step-by-step explanation:
Using the given formula for b₁, you can find the equivalent by using a common denominator.

Answer: x>_3.2 OR x<_ -0.75
Step-by-step explanation: first break down your compound inequality. 5x-4>_12
You first cancel out your constants by adding 4 to both sides. Now you’re left with 5x>_16 then to cancel five you have to divide on both sides by five which equals to 3.2. Then, x>_ 3.2.
Next you do your second part, 12x+5<_-4
So first cancel out the constant of 5 by subtracting 5 on both sides, making the equation 12x<_-9. Now, you divide by 12 on both sides, making it -9/12. Which effectively is -0.75. Therefor, the answer being x<_ -0.75. Add the two together x>_3.2 OR x<_0.75
Answer:
derivative of the vector function given = ( -16-22t, 14-36t, -2-16t )
Step-by-step explanation:
given data:
vector function : r(t) = ta*(b+tc)
a = ( 2,-3.4) . b = (-4,5,-1). c = ( -2,-1,5)
to find the derivative of the vector function we will differentiate with respect to x attached below is the detailed solution