Answer:
Alison wins against Kevin by 0.93 s
Step-by-step explanation:
Alison covers the last 1/4 of the distance in 3 seconds, at a constant acceleration 
, we have the following equation of motion
where s (m) is the total distance, ta = 3 s is the time
Similarly, Kevin overs the last 1/3 of the distance in 4 seconds, at a constant acceleration 
, we have the following equation of motion:
tk = 4 s is the time
Since we can conclude that 
, so Alison would win.
The time it takes for Alison to cover the entire track
The time it takes for Kevin to cover the entire track
So Alison wins against Kevin by 6.93 - 6 = 0.93 s
Answer:
A. 57 mL/hr
Step-by-step explanation:
Mass of morphine sulfate = 125 mg
DW = 250 mL
Rate of infusion = 0.005 mg/kg/min
Converting to mg/kg/hour
0.005 mg/kg/min×60 = 0.3 mg/kg/hour
For the patient who weighs 95 kilograms
0.3 mg/kg/hour×95 = 28.5 mg/hour
For the mass of 125 mg of morphine sulfate
1 mg
250/150 = 2 ml/mg
Rate of infusion
28.5×2 = 57 mL/hr
∴ Rate of infusion is 57 mL/hr
Based on the conditions given above, the number of bacteria at any time t (in hours) is calculated by the equation,
at = (a1)(2^t/2)
where a1 is the initial number of bacteria and at is the number at any time t. Substituting the givens,
a6 = (103)(2^6/2) = 824
Thus, there are 824 bacteria after 6 hours.
Modular arithmetic is used to find the remainder when dividing the first number by the second number you can divide the term then multiply the (or use the mod function of a graphing calculator with the first term first in the ordered pair and the second in the second term.
-17/2 = 8.5 2*.5 =1
a. 1
-144/7 = -20 5/7 . 4/7 *7 = 4
b. 4
-101/13 =
c. 3
199/19=
d.9
Answer:
B
Step-by-step explanation:
Recommended for housing: 30%
X/100 = 612/1700
= 36%
Recommended for food: 10%
X/100 = 238/1700
= 14%
Recommended for transportation 15%
X/100 = 370/1700
= 21.8%
