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ipn [44]
3 years ago
11

4/7+5/14+8/21 simplify​

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
8 0

Answer:

1 13/42

Step-by-step explanation:

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Need the answers for a test ASAP
jeka57 [31]

Answer:

It is the last option

Step-by-step explanation:

7 0
2 years ago
Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 162 square feet
Gnom [1K]

Answer:

The width and length of rectangle is 12.728 m

Step-by-step explanation:

Let the length of the rectangle = L

let the width of the rectangle = W

The subjective function is given by;

F(p) = 2(L + W)

F = 2L + 2W

Area of the rectangle is given by;

A = LW

LW = 162 ft²

L = 162 / W

Substitute in the value of L into subjective function;

f = 2l + 2w\\\\f = 2(\frac{162}{w} )+2w\\\\f = \frac{324}{w} + 2w\\\\\frac{df}{dw} = \frac{-324}{w^2} +2\\\\

Take the second derivative of the function, to check if it will given a minimum perimeter

\frac{d^2f}{dw^2}= \frac{648}{w^3} \\\\Thus, \frac{d^2f}{dw^2}>0, \ since,\frac{648}{w^3} >0 \ (minimum \ function \ verified)

Determine the critical points of the first derivative;

df/dw = 0

\frac{-324}{w^2} +2 = 0\\\\-324 + 2w^2=0\\\\2w^2 = 324\\\\w^2 = \frac{324}{2} \\\\w^2 = 162\\\\w= \sqrt{162}\\\\w = 12.728 \ m

L = 162 / 12.728

L = 12.728 m

Therefore, the width and length of rectangle is 12.728 m

3 0
3 years ago
Martine wants to have $50,000 in 10 years for college. What single deposit would he need to make now into an account that pays 4
juin [17]
$ 21,500.00 dollars total
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3 years ago
30 points will mark brainlyist
TiliK225 [7]

Answer:

y=18x+16

Step-by-step explanation:

ty

8 0
2 years ago
Factorise fully <br><img src="https://tex.z-dn.net/?f=20%20%7Bx%7D%5E%7B2%7D%20%20-%205" id="TexFormula1" title="20 {x}^{2} - 5
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5(2x+1) (2x-1) is what you get when you factorise this equation

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3 years ago
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