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lana [24]
2 years ago
8

Colvert the decimal to percent: 0.272

Mathematics
1 answer:
vlabodo [156]2 years ago
5 0

Answer:

27.2%

Step-by-step explanation:

multiply 0.272 by 100

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Someone pls help me with this​
katrin2010 [14]
I need help with it too!
5 0
3 years ago
Which description correctly applies to the concept of correlation
Burka [1]
The two events are related and often or always follow each other
7 0
2 years ago
The yield of orange trees is reduced if they are planted too close together. If there are 30 trees per acre, each tree produces
Tanya [424]

Answer:

5 more than 30 trees should be  planted, for a total of 40 trees per acre.

Step-by-step explanation:

Let x be the number of trees beyond 30 that are planted on the acre

The number of oranges produced = Oranges(x) = (number of trees) (yield per tree)

We are given that For each additional tree in the acre, the yield is reduced by 7 oranges per tree

So, number of oranges produced =(30 + x)(400 -10x)

                                                        = 12000 -300x+400x-10x^2

                                                        = 12000 + 100x-10x^2

The derivative Oranges'(x) = 100-20x

Substitute first derivative equals to 0

100-20x =0

x=5

Using the second derivative test,

Oranges"(x) = -20

20 is negative,

So, this is the case of maximum.

Thus, 5 more than 30 trees should be  planted, for a total of 40 trees per acre.

4 0
3 years ago
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 will thank your mom
Dahasolnce [82]
Factor dem groups


find greatest common factor
24=2*2*2*3
40=2*2*2*5

common is 2*2*2=8

answer is 8 groups

3 0
2 years ago
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