So since the third place is fixed, we can count that out
organism has8 letters, count out the g since it is fixed
oranism has 7 letters
first slot=7 choices
2nd slot=6 choices (1 choice from 1 slot)
3rd=1 since only g can be here
4rd=5
5th=4
6th=3
7th=2
8th=1
so the answer is 7 times 6 times 1 times 5 times 4 times 3 times 2 times 1 (last one for g)=5040 ways
Answer: D
Step-by-step explanation:
To answer this question, an assumption must be made, that Eva spends 8 hours a day working. If this is the case, then Eva will complete jobs w, x, and v on day one, for a total of six hours. Since the next job (y) requires 4 hours, she will spend two hours working that day, leaving 2 more hours to go on that job. The next day she will spend 2 hours finishing job y, completing it, and finish the longest job z (hours) that day. This means she had 4 jobs on day one, and 2 jobs on day 2 for and average of 3 jobs per day.
This answer assumes an 8 hour work day, and that Eva can start a job she cannot finish that day.
Answer:
y = 2x-4
Step-by-step explanation:
To put the equation in slope intercept form (y=mx+b), we solve the equation for y
8x = 4y +16
Subtract 16 from each side
8x - 16 = 4y+16-16
8x-16 = 4y
Divide each side by 4
8x/4 -16/4 = 4y/4
2x -4 = y
y = 2x-4
Answer:
106
Step-by-step explanation:
![3^4+5*5](https://tex.z-dn.net/?f=3%5E4%2B5%2A5)
Apply PEMDAS:
In this scenario we will solve the exponent part first, followed by the multiplication part and then we add them up.
![\rightarrow3^4=3*3*3*3=81\\\\81+5*5\\\\\rightarrow5*5=25\\\\81+25\\\\\boxed{106}](https://tex.z-dn.net/?f=%5Crightarrow3%5E4%3D3%2A3%2A3%2A3%3D81%5C%5C%5C%5C81%2B5%2A5%5C%5C%5C%5C%5Crightarrow5%2A5%3D25%5C%5C%5C%5C81%2B25%5C%5C%5C%5C%5Cboxed%7B106%7D)
Hope this helps!