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polet [3.4K]
3 years ago
6

Can anyone help me?​

Mathematics
1 answer:
vlada-n [284]3 years ago
7 0

Answer:

a. 3.5 b. 2.25 c. 47.8 deg

Step-by-step explanation:

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Find the sum of the first 42 terms of the following series, to the nearest
balandron [24]

Answer:

Step-by-step explanation:

Find the sum of the first 42 terms of the following series, to the nearest integer.

2,7,12

Solution

The sum is given by  

SUM_n=n/2*(a_1+a_n)

a_n=a_1+(n-1)d

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The 42nd term is therefore given by  

a_42=2+(42-1)5=207

SUM_42=42/2*(2+207)=21*209=4389

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3 years ago
a farmer is planning a rectangular area for her chickens. the area of the rectangle will be 200 square feet. three sides of the
Vladimir79 [104]

Let

x---------> the length side of the rectangular area

y---------> the width side of the rectangular area

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the area of the rectangle is equal to

A=x*y\\ A=  200\ ft^{2} \\ x*y=200

y=\frac{200}{x} -----> equation 1

The perimeter of the rectangle is equal to

P=2x+2y

but remember that the fourth side of the rectangle will be formed by a portion of the barn wall

so

P=x+2y -----> equation 2

<em>To minimize the cost we must minimize the perimeter</em>

Substitute the equation 1 in the equation 2

P=x+2*[\frac{200}{x}  ]

Using a graph tool

see the attached figure

The minimum of the graph is the point (20,40)

that means for x=20\  ft

the perimeter is a minimum and equal to 40\ ft

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y=\frac{200}{x}

y=\frac{200}{20}

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5*40=  \$200

therefore

<u>the answer is</u>

the length side of the the fourth wall will be 20\  ft

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What is the value of the expression 3 squared times the quantity of 2 cubed + 4 all divided by 2 squared?
antoniya [11.8K]

Answer:

27

Step-by-step explanation:

Put this into numbers:

\frac{3^2*(2^3+4)}{2^2}

Use Order of Operations to simplify. First, you would do the stuff in parentheses which is:

2^3+4

Inside of those parentheses first simplify the exponents:

8 + 4

Now add

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So the new equation is:

\frac{3^2*12}{2^2}

The next step is to simplify the exponents

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Multiply out the top

\frac{108}{4}

Divide this

27

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