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3 years ago

Greta made the following scores on her first semester history tests: 60, 84, 88, 94, 94, 96.

Mathematics

2 answers:

Pani-rosa [81]3 years ago

4 0

A mean the mean is the average

viktelen [127]3 years ago

3 0

Mean, because if she used mean she will get a most favorable impressing of her performance.

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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

3 0

4 years ago

What is the quotient of the following rational expression? x^3+3x^2-4x+5/x^2-2

Law Incorporation [45]

Answer:

Here:

Step-by-step explanation:

7 0

2 years ago

OMG last one please help

vichka [17]

Answer:

m<D = 14

Step-by-step explanation:

Exterior angles thm:

83 + 6x - 4 = 21x + 4

6x + 79 = 21x + 4

6x - 21x = 4 - 79

-15x = -75

x = 5

m<D:

6x - 4

6(3) - 4

18 - 4

3 0

3 years ago

36/45 reduced in the lowest terms

malfutka [58]

Answer:

$\frac{4}{5}$

Step-by-step explanation:

They both (36 and 45) go into 9. Divide them both by 9.

$\frac{4}5}$

6 0

3 years ago

Read 2 more answers

If x is 4, what is: x + 5 3x:

kirill [66]

Answer:

1) x+5

(4)+5 =

2) 3x

3(4)

Step-by-step explanation:

5 0

3 years ago