Answer:
10 hours
Step-by-step explanation:
(150/x) + 1.5 + (450/(x+15)) = 600/x
Multiply through by x(x + 15):
150(x + 15) + 1.5x(x + 15) + 450x = 600(x + 15)
150x + 2250 + 1.5x^2 + 22.5x + 450x = 600x + 9000
150x + 2250 + 1.5x^2 + 22.5x + 450x - 600x - 9000 = 0
1.5x^2 + 22.5x - 6750 = 0
x = (-22.5 +/- sqrt(22.5^2 - 4(1.5)(-6750))) / (2*1.5)
x = (-22.5 +/- sqrt(506.25 + 40500)) / 3
x = (-22.5 +/- sqrt(41006.25)) / 3
x = (-22.5 +/- 202.5) / 3
x = 180/3 or -225/3
x = 60 or -75
But a negative number doesn't make sense, so therefore x = 60, so the journey took 600/60 = 10 hours.
Answer:
42gtt/m
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Flow rate in gtt/min = (Total fluid in ml × Drop factor) ÷ (Total hours × 60)
Where, Total fluid in ml = 2,000ml
Drop factor = 15gtt/m
Total hours = 12hours
By putting the following value in the formula, we get
Flow rate in gtt/min = (2,000 × 15) ÷ (12 × 60)
= 30,000 ÷ 720
= 41.67 or 42gtt/m
The next term in this fraction sequence is 1/3.
To find the next term in this sequence, we can start by converting all of the fraction into a common denominator (so we can compare them better). The least common denominator for all of these number is 12. Now we can convert them all to something over 12.
To convert 2/3 to something over 12, we must find what form of one we must multiply 3 (the denominator) by to get 12. 12/3 is 4, so we must multiply by 4/4. This gives us 2/3 = 8/12.
Since 7/12 is already over twelve, we can just leave it alone.
To convert 1/2 to something over 12, we need to find what we have to multiply 2 by to get 12. 12/2 is 6, so now we need to multiply 1/2 by 6/6, which gives us 1/2 = 6/12.
5/12 is already over twelve, so we can just leave it alone.
Now we need to put them back in order. We have:
8/12, 7/12, 6/12, 5/12... Just by looking at them, we can see that the denominators are getting smaller by 1. That means that the next term in the sequence will be less than the previous one by 1/12. What term is less than 5/12 by 1/12? 4/12 is. But, that's not our answer. We can simplify 4/12 to get our answer of 1/3.
Answer:
f(3) = - 60
Step-by-step explanation:
To evaluate f(3) substitute x = 3 into f(x), that is
f(3) = 5(3)² - 7(4(3) + 3)
= 5(9) - 7(12 + 3)
= 45 - 7(15)
= 45 - 105
= - 60
