Given that the population can be modeled by P=22000+125t, to get the number of years after which the population will be 26000, we proceed as follows:
P=26000
substituting this in the model we get:
26000=22000+125t
solving for t we get:
t=4000/125
t=32
therefore t=32 years
This means it will take 32 years for the population to be 32 years. Thus the year in the year 2032
The minimum and maximum number of hours the plane will travel at that speed are; at least 0.875 hours and at most 1.375 hours
<h3>How to Solve Absolute Value Inequality?</h3>
We are given that the speed of the plane is 200 miles per hour.
Now, formula for time taken is;
Time = Distance/Speed
If the speed is 225 ± 50 miles, then it means that;
Maximum distance = 275 miles
Minimum distance = 175 miles
Thus, we can say that;
Minimum number of hours = 275/200 = 1.375 hours
Maximum number of hours = 175/200 = 0.875 hours
Read more about Absolute Value Inequality at; brainly.com/question/13282457
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Answer:
The two cars will be almost 188 miles far from each other.
Step-by-step explanation:
Travel Time for Car 1 = t = 3.5 hours
Travel time for Car 2 = t-1 = 3.5 - 1 = 2.5 hours
Average speed of car 1 = 40 mph
Average speed of car 2 = 50 mph
Distance traveled by Car 1 = 40*3.5 = 140 miles
Distance Traveled by Car 2 = 50*2.5 = 125 miles
As both the roads are at a 90 degree angle. The path of the two cars and the joining line of their final position forms a right angle triangle where:
altitude = a = 140
base = b = 125
Distance of cars after 3.5 hours = c = ?
According to Pythagoras theorem:
c^2 = a^2 + b^2
c^2 = 140² + 125²
c² = 19600+15625
c = √35225
c = 187.68
Almost 188 miles.
The correct answer is -9/22.
