What's 2+2? Please explain how you got this answer.

To identify the distance between Boston and the destination of the trains, it must be remembered that the speed mentioned for each one is a reference to the distance traveled per hour, therefore, after each hour, each train will travel :

Regular train: 60 miles
Express train: 80 miles

According to the information given, when the express train leaves, the regular train has a 60-mile lead, which is getting shorter hour by hour because the express train travels 20 miles per hour more than the normal train.

Therefore, in three hours, the express train would catch up with the regular train, calculating the distance thanks to the speed formula:

$Speed =\frac{Distance}{Time}$

And clearing the distance:

$Distance=Speed*Time$

$Distance=80\frac{miles}{hour}*3hours$

$Distance=240miles$

Therefore, the destination would be 240 miles from Boston, which would take four hours by regular train and three hours by express train.

If you want to learn more about Mathematics, you can visit the following link: brainly.com/question/24600056

3 0

2 years ago

The rabbit population of Springfield, Ohio was 144,000 in 2016. It is expected to decrease by about 7.2% per year. Use an expone

ehidna [41]

Answer:

The estimated Rabbit population by the year 2036 is 32,309 rabbits

Step-by-step explanation:

In this question, we are expected to use the exponential decay function to estimate population of rabbits in a certain year.

An exponential decay function refers to an equation that estimates the value of a parameter(dependent parameter) at a certain value of the independent parameter given that the independent parameter decreases at a certain constant rate.

Firstly, what we need to do is to write the decay function. To do this, we shall be representing the population by variable P, the rate by r , the number of years by t and the initial population by I

Mathematically, we have the decay function as;

P = I(1-r)^t

From the question, we identify these values as;

P = 144,000 : r = 7.2% = 7.2/100 = 0.072, I = 144,00 and t = 2036-2016 = 20 years

Let's plug these values;

P = 144,000(1-0.072)^20

P = 144,000(0.928)^20

P= 32,309

5 0

2 years ago

PLEASE HELP ME! I have to find the measurement of the angle but i can't figure it out.

Vadim26 [7]

Answer:

The value of ∠TMV is 45°.

Step-by-step explanation:

We know that:

∠VTM + ∠TMV + ∠MVT = 180°
∠VTM = 92
∠MVT = 43

Work:

∠VTM + ∠TMV + ∠MVT = 180°
=> 92 + 43 + ∠TMV = 180°
=> 135 + ∠TMV = 180°
=> ∠TMV = 180 - 135
=> ∠TMV = 45°

Hence, the value of ∠TMV is 45°.

Hoped this helped.

$BrainiacUser1357$

3 0

2 years ago