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makkiz [27]
3 years ago
15

Please help! Will award BRAINLIEST if you complete it correctly!

Mathematics
2 answers:
Leona [35]3 years ago
7 0

Answer:

3 hours

Step-by-step explanation:

as jen took 3 hours maryana will take equal amount of time as jen

Arte-miy333 [17]3 years ago
4 0

Well, we already know that it took Jen, 3 hours, by herself to complete half the work. Then, together they both completed it in half an hour. Now, you must summarize your given data.

3 hours = Half of the work for Jen

30 Minutes = Jen and Maryna Together To Finish

If the two girls were working at the same pace, it would take them an hour and a half. However, it only took them 30 minutes to complete that. Now, we realize that Maryna works 3x faster than Jen does.

The question is asking, how long would it take her to FINISH the job.

So that means, we must divide 3 by Jen's time.

3 / 3 = 1

So, that means that it would only take Maryna 1 hour to complete the rest of the job.

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Oil is leaking out of a ruptured tanker at the rate of r(t)=30e^(?0.09t) thousand liters per minute.
zmey [24]

Answer:

A)

At t = 0, oil is leaking out of a ruptured tanker at the rate of 30 thousand liters per minute.

At t = 60, oil is leaking out of a ruptured tanker at the rate of 0.1355 thousand liters per minute.

B)

331.82 thousands of liters leak out during the first hour.

Step-by-step explanation:

The oil leakage rate, in thousand liters per minute, is:

r(t) = 30e^{-0.09t}

A. At what rate, in thousands of liters per minute, is the oil leaking out

At t = 0:

This is r(0)

r(t) = 30e^{-0.09t}

r(0) = 30e^{-0.09*0} = 30

At t = 0, oil is leaking out of a ruptured tanker at the rate of 30 thousand liters per minute.

At t = 60:

This is r(60)

r(t) = 30e^{-0.09t}

r(60) = 30e^{-0.09*60} = 0.1355

At t = 60, oil is leaking out of a ruptured tanker at the rate of 0.1355 thousand liters per minute.

B. How many thousands of liters leak out during the first hour?

r(t) is in thousand liters per minute.

Each hour has 60 minutes.

So the answer to this question is the integral from 0 to 60 of r(t).

Integral of the exponential function

\int {e^{at}} \, dt = \frac{e^{at}}{a}

So

\int\limits^{60}_0 {r(t)} \, dt

\int\limits^{60}_0 {30e^{-0.09t}} \, dt

-333.33e^{-0.09t}, from t = 0 to t = 60.

This is

-333.33e^{-0.09*60} - (-333.33e^{-0.09*0}) = 331.82

331.82 thousands of liters leak out during the first hour.

6 0
4 years ago
1. Leland started a savings account with
Alborosie

Answer:18 weeks

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Graph the line that passes through the given point and has the given slope m.
Firdavs [7]

Answer:

The line equation is:

  • y=-\frac{1}{4}x+9

Step-by-step explanation:

Given

  • The point = (4, 8)
  • m = -1/4

We know that point-slope form of the line equation is

y-y_1=m\left(x-x_1\right)

where

  • m = slope
  • (x₁, y₁) = point

substituting the values m = -1/4 and the point (4, 8)

y-y_1=m\left(x-x_1\right)

y-8=\frac{-1}{4}\left(x-4\right)

Add 8 to both sides

y-8+8=\frac{-1}{4}\left(x-4\right)+8

y=-\frac{1}{4}x+9

Thus, the line equation is:

  • y=-\frac{1}{4}x+9
5 0
3 years ago
2. Amber paid $1025 for her prom gown. She used
Fynjy0 [20]



It b I did that today
6 0
2 years ago
Find two positive consecutive odd integers such that the square of the large integer is one less than twice the square of the sm
andre [41]

Step-by-step explanation:

x, x+2 are the two positive consecutive of integers (x + 2, because the minimum distance between 2 odd numbers is always 2, as there can never be 2 odd numbers directly following each other; and neither can even numbers, by the way).

(x+2)² = 2×x² - 1

x² + 4x + 4 = 2x² - 1

0 = x² - 4x - 5

we can solve this by factoring.

that means we need to find a and b so that

(x - a)(x - b) = x² - 4x - 5 = 0

and x = a and x = b are the 2 solutions of the quadratic equation.

x² - ax - bx + ab = x² - 4x - 5 = 0

x² - (a+b)x + ab = x² - 4x - 5 = 0

a+b = 4

ab = -5

that means that either a or b has to be 5 and the other -1.

so, the result is

(x - 5)(x + 1) = 0

x = 5

or

x = -1

are the possible solutions.

since we are only looking for positive integers, x = -1 is not a valid solution.

and only x = 5 remains as valid solution.

therefore, the 2 positive consecutive odd integers are

5, 7

4 0
3 years ago
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