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Readme [11.4K]
3 years ago
12

(-1)×(-1)×(-1)×(2m+1) times where m is a natural number,is equal to?

Mathematics
1 answer:
son4ous [18]3 years ago
3 0

Answer:

(2). -1

Step-by-step explanation:

The given parameter can be represented as:

(-1)^{2m + 1}

See comment for correct question

Required

The end result

From the question, we understand that m is a natural number

This means that:

2m + 1 \to odd number

So:

(-1)^{2m + 1} = -1 --- i.e. -1 to the power of an odd number will give -1

<em>Hence; (2) is correct</em>

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Simplify 2(a-3)/(a-4)(a-5)+(a-1)/(3-a)(a-4)+(a-2)/(5-a)(a-3)​
Umnica [9.8K]

Answer:

  \dfrac{5}{x^3-12x^2+47x-60}

Step-by-step explanation:

Though it is not what you have written, we think you want to simplify ...

  \dfrac{2(a-3)}{(a-4)(a-5)}+\dfrac{(a-1)}{(3-a)(a-4)}+\dfrac{(a-2)}{(5-a)(a-3)}\\\\=\dfrac{2(a-3)^2}{(a-3)(a-4)(a-5)}+\dfrac{-(a-1)(a-5)}{(a-3)(a-4)(a-5)}+\dfrac{-(a-2)(a-4)}{(a-3)(a-4)(a-5)}\\\\=\dfrac{2(a^2-6a+9)-(a^2-6a+5)-(a^2-6a+8)}{x^3-12x^2+47x-60}\\\\=\boxed{\dfrac{5}{x^3-12x^2+47x-60}}

_____

When writing a fraction in plain text, parentheses are needed around the entire denominator. The order of operations tells you that a/bc = (a/b)c, not a/(bc).

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3 years ago
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4 0
3 years ago
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Roland needs 8 sheets of fabric that are each 45 yard long.
kompoz [17]

The total number of yards is 360 yards

<h3>How to determine the number of yards?</h3>

The given parameters are:

Number of sheets = 8

Yard per sheet = 45 yards

The total number of yards is calculated as:

Total number of yards = Number of sheets  * Yard per sheet

Substitute the known values in the above equation

Total number of yards = 8 * 45 yards

Evaluate the product

Total number of yards = 360 yards

Hence, the total number of yards is 360 yards

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2 years ago
Giving brainliest! View image!
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Answer:

58%

Step-by-step explanation:

10*5=50

7*3=21

21/50 chance to choose inside small rectangle

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3 years ago
Calculate the surface area of an open cuboid which is 12 cm long,8cm wide,6cm high​
Vsevolod [243]

Answer:

432 cm²

Step-by-step explanation:

To find the surface area of a cuboid, there is a formula.

2lw+2lh+2hw

Length is l, height is h, and width is w.

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Multiply all the terms.

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Add both the terms.

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The surface area of the open cuboid is 432cm².

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