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kogti [31]
3 years ago
11

The quotient of 5 plus d and 12 minus w

Mathematics
1 answer:
aev [14]3 years ago
6 0
That expression is written like so:

(5 + d)/(12 - w)
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A rancher wants to fence in an area of 1500000 square feet in a rectangular field and then divide it in half with a fence down t
VLD [36.1K]

Answer:

6000 ft

Step-by-step explanation:

Let length of rectangular field=x

Breadth of rectangular field=y

Area of rectangular field=1500000 square ft

Area of rectangular field=l\times b

Area of rectangular field=x\time y

1500000=xy

y=\frac{1500000}{x}

Fencing used ,P(x)=x+x+y+y+y=2x+3y

Substitute the value of y

P(x)=2x+3(\frac{1500000}{x})

P(x)=2x+\frac{4500000}{x}

Differentiate w.r.t x

P'(x)=2-\frac{4500000}{x^2}

Using formula:\frac{dx^n}{dx}=nx^{n-1}

P'(x)=0

2-\frac{4500000}{x^2}=0

\frac{4500000}{x^2}=2

x^2=\frac{4500000}{2}=2250000

x=\sqrt{2250000}=1500

It is always positive because length is always positive.

Again differentiate w.r.t x

P''(x)=\frac{9000000}{x^3}

Substitute x=1500

P''(1500)=\frac{9000000}{(1500)^3}>0

Hence, fencing is minimum at x=1 500

Substitute x=1 500

y=\frac{1500000}{1500}=1000

Length of rectangular field=1500 ft

Breadth of rectangular field=1000 ft

Substitute the values

Shortest length of fence used=2(1500)+3(1000)=6000 ft

Hence, the shortest length of fence that the rancher can used=6000 ft

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4 years ago
Give the slope of the graph and the unit rate.
klemol [59]

I need help with MY MATH jejehee

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3 years ago
James has 858 feet of rope. There are 18 teams of hikers.
soldier1979 [14.2K]

Answer:

48 or 47

Step-by-step explanation:

858/18 = 47.6

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Please answer! will give brainliest
hjlf

Answer:

1.4

Step-by-step explanation:

3 0
3 years ago
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Click on the graph below to create a triangle with vertices at the following points.
KatRina [158]
Well, since you didn’t upload the picture we can’t really show you the points, but all you do, is for the first one you go 5 up on the graph, and 0 to the side. and then just keep going!
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3 years ago
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