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2 years ago

Need help asap please write an equation representing this situation using 5000, 20, 400, and n.

Mathematics

1 answer:

Anton [14]2 years ago

7 0

If u solve using the step by step equation process u will get 500.20,400,n

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If x+1/x= 3, then prove that m^5+1/m^5= 123

alina1380 [7]

9514 1404 393

Explanation:

We can start with the relations ...

$\displaystyle\left(x+\frac{1}{x}\right)^3=\left(x^3+\frac{1}{x^3}\right)+3\left(x+\frac{1}{x}\right)\\\\\left(x+\frac{1}{x}\right)^5=\left(x^5+\frac{1}{x^5}\right)+5\left(x^3+\frac{1}{x^3}\right)+10\left(x+\frac{1}{x}\right)\\\\\textsf{From these, we can derive ...}\\\\x^5+\frac{1}{x^5}=\left(x+\frac{1}{x}\right)^5-5\left(\left(x+\frac{1}{x}\right)^3-3\left(x+\frac{1}{x}\right)\right)-10\left(x+\frac{1}{x}\right)$

$\displaystyle x^5+\frac{1}{x^5}=\left(x+\frac{1}{x}\right)^5-5\left(x+\frac{1}{x}\right)^3+5\left(x+\frac{1}{x}\right)\right)\\\\x^5+\frac{1}{x^5}=3^5 -5(3^3)+5(3)\\\\=((3^2-5)3^2+5)\cdot3=(4\cdot9+5)\cdot3=(41)(3)\\\\=\boxed{123}$

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2 years ago

Three vertices of parallelogram ABCD are A(−2, −2), B(2, 1), and C(0, 7). What are the coordinates of vertex D?

Alinara [238K]

C
you have the 2 side ones and the top one, you are missing the bottom vertice

5 0

2 years ago

16 increased by twice a number is -24 what is the solution?

Lynna [10]

Let x = the number.

"increased by" tells you we are adding.

"twice a number" tells you 2 times a number.

16 + 2x = - 24

Subtract 16 from both sides so that we have the variable on one sides and the constants on the other.

2x = - 24 - 16

2x = - 40

Divide by 2 to isolate the variable.

x = - 40/2 = - 20

Your solution is - 20.

To check your answer, plug in.

16 + 2(-20) = - 24

16 - 40 = - 24

- 24 = - 24

3 0

2 years ago

Sanjay needs 90 meters of fence to go around a rectangular garden.

VladimirAG [237]

W + 3w = 90 is obviously wrong

8 0

2 years ago

Read 2 more answers

The radius of a circle with an area of 60 square centimeters is represented by the expression √60/π centimeters. What is another

monitta

Answer:

r= 2 √(15/π)

Step-by-step explanation:

Given that :

Area of circle =60sq cm

radius=√60/π

$Area=\pi r^2\\60=\pi r^2\\\\\sqrt{\frac{60}{\pi}}=r\\\\\sqrt{\frac{15\times 4}{\pi}}=r\\2\sqrt{\frac{15}{\pi}}=r$

Hence the radius can be written as 2 √(15/π)

3 0

2 years ago