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Leya [2.2K]
3 years ago
10

How to solve log 5 + 2log 2

Mathematics
1 answer:
Hoochie [10]3 years ago
6 0
Log20
log5  + 2 log2
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At the Football game they expect that for every 4 people that attend 3 hot dogs will be sold. What is the equation
Nata [24]

Answer:

If p is people and h is hot dogs, the equation is 3h=4p.

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3 years ago
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Suppose a rectangular pasture is to be constructed using 1 2 linear mile of fencing. The pasture will have one divider parallel
timama [110]

Answer:

\displaystyle A=\frac{1}{192}

Step-by-step explanation:

<u>Maximization With Derivatives</u>

Given a function of one variable A(x), we can find the maximum or minimum value of A by using the derivatives criterion. If A'(x)=0, then A has a probable maximum or minimum value.

We need to find a function for the area of the pasture. Let's assume the dimensions of the pasture are x and y, and one divider goes parallel to the sides named y, and two dividers go parallel to x.

The two divisions parallel to x have lengths y, thus the fencing will take 4x. The three dividers parallel to y have lengths x, thus the fencing will take 3y.

The amount of fence needed to enclose the external and the internal divisions is

P=4x+3y

We know the total fencing is 1/2 miles long, thus

\displaystyle 4x+3y=\frac{1}{2}

Solving for x

\displaystyle x=\frac{\frac{1}{2}-3y}{4}

The total area of the pasture is

A=x.y

Substituting x

\displaystyle A=\frac{\frac{1}{2}-3y}{4}.y

\displaystyle A=\frac{\frac{1}{2}y-3y^2}{4}

Differentiating with respect to y

\displaystyle A'=\frac{\frac{1}{2}-6y}{4}

Equate to 0

\displaystyle \frac{\frac{1}{2}-6y}{4}=0

Solving for y

\displaystyle y=\frac{1}{12}

And also

\displaystyle x=\frac{\frac{1}{2}-3\cdot \frac{1}{12}}{4}=\frac{1}{16}

Compute the second derivative

\displaystyle A''=-\frac{3}{2}.

Since it's always negative, the point is a maximum

Thus, the maximum area is

\displaystyle A=\frac{1}{12}\cdot \frac{1}{16}=\frac{1}{192}

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3 years ago
What is the simplest form of 19/100?
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Is is literally 
19/100
there is no simpler value
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Alex_Xolod [135]
The answer is A) 6:15, because if you divide both numbers by three, it'll give you 2:5
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Given 11 different natural numbers, none greater than 20. Prove that two of these can be chosen, one of which divides the other.
frosja888 [35]

Answer:11 honestly have no idea but im going to give my best answer it is 31

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