Answer: 60 kilometers
If the average speed for the trip of 80 kilometers per hour, and the time of the trip was 45 minutes, then the distance between the two jungles is 60 kilometers.

45 minutes is three-quarters of an hour, or 0.75. I multiplied this decimal by 80 to get 60, the distance between Jungle A and Jungle B.

8 0

2 years ago

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The enrollment at sunshine College has been increased by 45 students per year. Currently sunshine College has 1100 students atte

docker41 [41]

Answer:

After 15 years both the colleges will have same number of students.

Step-by-step explanation:

The enrollment at sunshine College has been increased by 45 students per year. Currently, sunshine College has 1100 students attending.

So, after x years the number of students of this college will be (1100 + 45x).

Again, Marigold college currently has 2000 students, but its enrollment is decreasing in size by an average of 15 students per year.

So, after x years the number of students of this college will be (2000 - 15x).

If those two colleges have the same number of students after x years, then we can write

1100 + 45x = 2000 - 15x

⇒ 60x = 900

⇒ x = 15 years.

Therefore, after 15 years both the colleges will have the same number of students. (Answer)

7 0

2 years ago

Solve the differential equation.<br><br> dp/dt = t^2p - p + t^2 - 1

Alborosie

$\frac{dp}{dt} = t^2 p - p + t^2 - 1 \Rightarrow \frac{dp}{dt} = p(t^2 - 1)+ 1(t^2 - 1 ) \Rightarrow \\
\\
\frac{dp}{dt} = (p+1)(t^2 - 1)\ \Rightarrow\ \frac{dp}{p+1} = \left(t^2 - 1\right)dt\ \Rightarrow \\ \\
\int \frac{dp}{p+1} =\int \left(t^2 - 1\right)dt\ \Rightarrow \ \ln|p+1| = \frac{1}{3}t^2 - t + C \ \Rightarrow \\ \\
|p+1| = e^{t^3/3 - t + C}\ \Rightarrow\ p+1 = \pm e^Ce^{t^3/3 - t} \Rightarrow \\ \\
p = Ke^{t^3/3 -t} - 1,\ \text{where $K = \pm e^C$}
$

Since $p = -1$ is also a solution, $K$ can equal 0, and hence, $K$ can be any real number.

7 0

2 years ago

A walking trail through a forest preserve is 34,215 meters in length .What is length in kilometers of the trail ?

Alika [10]

34.215 kilometers you move the decimal to the left three places because Kilo means 1000 and there are 3 zeros in 1000. you move left because Kilometer is bigger than meter.

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2 years ago

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