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Ksenya-84 [330]
3 years ago
8

Need help please someone

Mathematics
1 answer:
Natalka [10]3 years ago
8 0
19.B 20. D 21. A. 22. A
You just put in calculator make sure you click the mode button and highlight degree so it can work
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Water is leaking out of a large barrel at a rate proportional to the square rooot of the depth of the water at that time. If the
sdas [7]

Answer:

It will take about 35.49 hours for the water to leak out of the barrel.

Step-by-step explanation:

Let y(t) be the depth of water in the barrel at time t,  where y is measured in inches and t in hours.

We know that water is leaking out of a large barrel at a rate proportional to the square root of the depth of the water at that time. We then have that

                                                 \frac{dy}{dt}=-k\sqrt{y}

where k is a constant of proportionality.

Separation of variables is a common method for solving differential equations. To solve the above differential equation you must:

Multiply by \frac{1}{\sqrt{y}}

\frac{1}{\sqrt{y}}\frac{dy}{dt}=-k

Multiply by dt

\frac{1}{\sqrt{y}}\cdot dy=-k\cdot dt

Take integral

\int \frac{1}{\sqrt{y}}\cdot dy=\int-k\cdot dt

Integrate

2\sqrt{y}=-kt+C

Isolate y

y(t)=(\frac{C}{2} -\frac{k}{2}t)^2

We know that the water level starts at 36, this means y(0)=36. We use this information to find the value of C.

36=(\frac{C}{2} -\frac{k}{2}(0))^2\\C=12

y(t)=(\frac{12}{2} -\frac{k}{2}t)^2\\\\y(t)=(6 -\frac{k}{2}t)^2

At t = 1, y = 34

34=(6 -\frac{k}{2}(1))^2\\k=12-2\sqrt{34}

So our formula for the depth of water in the barrel is

y(t)=(6 -\frac{12-2\sqrt{34}}{2}t)^2\\\\y(t)=\left(6-\left(6-\sqrt{34}\right)t\right)^2\\

To find the time, t, at which all the water leaks out of the barrel, we solve the equation

\left(6-\left(6-\sqrt{34}\right)t\right)^2=0\\\\t=3\left(6+\sqrt{34}\right)\approx 35.49

Thus, it will take about 35.49 hours for the water to leak out of the barrel.

5 0
3 years ago
Two trays contained 12 ice cubes. How many ice cubes are there in 20 trays?
Masja [62]

If 2 trays have 12, and you need to get 20 trays, find out 2 * x = 20.

2 * 10 = 20.

So you need to multiply the problem by 10

10(2 trays = 12 ice cubes)

20 trays = 120 ice cubes.

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

7 0
3 years ago
Which of the following describes the polynomial function ??? HELP
JulsSmile [24]

Answer:

B. The function has an even degree.

Step-by-step explanation:

We have been given an image of a polynomial function. We are asked to choose the correct options about our given polynomial.

A. The function has a negative leading coefficient.

Upon looking at our given graph, we can see that it is an upward opening parabola, so leading coefficient can't be negative, therefore, option A is not true.

B. The function has an even degree.

Upon at our given graph, we can see that it is symmetric to y-axis, therefore it has an even degree polynomial and option B is the correct choice..

C. The function has zero turning points.

Upon looking at our given graph, we can see that as function approaches towards 0 from negative infinity it is decreasing. As function increases positive infinity from 0, it is increasing, therefore, our function has a turning point at x=0, therefore, option C is incorrect.

D. The function has one x-intercept.

Since our function never intersects x-axis, therefore, function has no x-intercept and option D is incorrect as well.

6 0
3 years ago
Item 3
Zina [86]

Answer:

22

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which of the following shows the correct order for -1 2/5, (-1)^2, -1 bar 4 and (1/2)^2
Doss [256]

Answer:

Highest to lowest the numbers would be (1/2)^2, (-1)^2, -1 2/5 Putting the "bar 4" somewhere

First we need the numbers exact value meaning
-1 2/5 = -1.4

(-1)^2 = -1

?4 = ?

(1/2)^2 = 0.25

7 0
2 years ago
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