There are 60 min per hour.
There are 24 hours in one day, so there are 60 times 24= 1,440 minutes in a day.
Person A: for 45 minutes per day had a heart rate of 150, and for 1,395 minutes per day had a heart rate of 60.
This means that her heart rate totaled (45x150) + (1,395x60) = 90,450 beats per day.
Person B: for 1,440 minutes per day had a heart rate of 72 beats per minute.
This means that her heart rate totaled (1,440x72) = 103,680 beats per day.
So for 365 days: 365(103,680-90,450)= 4,828,950-this is the number of beats MORE per year of Person B than Person A.
2.4% = 2.4/100 or as a decimal fraction 0.024.
Let x = number of years between 1990 and 2000.
Rainbow smelt:
Initial population = 227
Average yearly rate of change = -19.76
The linear function that models the population is
y₁ = 227 - 19.76x
Bloater fish
Initial population = 1052
Average yearly rate of change = -92.57
The linear function that models the population is
y₂ = 1052 - 92.57x
When the two populations are equal, then y₁ = y₂.
That is
227 - 19.76x = 1052 - 92.57x
(92.57 - 19.76)x = 1052 - 227
72.81x = 825
x = 11.33 years
= 11 years, 0.33*12 months
= 11 years, 4 months
Add x to 1990 to obtain the year April 2011.
Answer:
x = 11.33 years.
This occurs in April 2001.
Answer:
Step-by-step explanation:
The conjugate of a radical expression is obtained by changing the sign of the middle term.
The conjugate of 
is simply 
Therefore, to obtain the conjugate of the given expression we simply shall be changing the negative sign to positive;
The conjugate of 
is simply;
9514 1404 393
Answer:
Step-by-step explanation:
With a single application of the Law of Cosines, you can only find one of an unknown side or an unknown angle. The other three elements in the 4-variable equation must be specified.
However, a single application of the LoC can be used to find DE. Then, knowing the three sides, either of the unknown angles can be found from an additional application of the LoC.
So, the answer is "it depends." It is yes to all if finding DE first is allowed. It is "no" to the angles if they must be found without finding DE first.
