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3 years ago

5

How many oranges are in a crate if the price of a crate of oranges is $1.60 and the price of oranges is $0.20 per pound and ther

e are 3 oranges per pound?

1 answer:

Shtirlitz [24]3 years ago

8 0

Answer:

7 oranges

Step-by-step explanation: 3 oranges in a pound 0.20 cents per pound. 60 cents per pound add it up.

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the initial population of a town is 3200 grows with a doubling time of 10 yrs what will the population be in 12yrs

Degger [83]

Answer:

I think 6464

Step-by-step explanation:

I wish you luck on this assignment:P:D

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3 years ago

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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

I need help with this question!!!!!

Snowcat [4.5K]

The answer is D
y=1/4x-7

4 0

2 years ago

Find the product of (–d + e)(4e + d). Which statements are true? Check all that apply.

Bogdan [553]

Hello!

This is a question about multiplying to get a polynomial answer.

Here we can use two strategies, which will get you the same strategy.

One is using a Punnett Square, and the other would be FOILing.

I personally like Punnett Squares, but I will use FOILing for the sake of being online.

FOIL stands for First, Outside, Inside, Last, which describes how the terms should be multiplied.

Let's multiply the first terms.

(-d + e)(4e + d)

$-4de$

The outside terms.

(-d + e)(4e + d)

$-d^2$

The inside terms.

(-d + e)(4e + d)

$4e^2$

The last terms.

(-d + e)(4e + d)

$de$

Now you just add them together to find the polynomial.

$-d^2+4e^2-4de+de$

$-d^2+4e^2-3de$

There are three terms in the product, and the product is degree 2, since the highest degree of the equation (the highest power any term is raised to) is 2.

Hope this helps!

4 0

2 years ago

Read 2 more answers

Using Trigonometric ratios, solve the following triangle

weeeeeb [17]

Answer:

54.36

Step-by-step explanation:

Cos $Cos59 = \frac{28}{x} \\x=\frac{28}{cos59} =54.36$

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2 years ago