The Enlightenment is also known as the Age of Humanism. Rationalism. Reason. Secularism.

Answer:

8

Explanation:

Answer:

[tex]3^{x-1}[/tex]

Explanation:

Given

[tex]\frac{(3^{x+1})(3^{x-1})^2}{9^x}[/tex]

Required

Find its equivalent

[tex]\frac{(3^{x+1})(3^{x-1})^2}{9^x}[/tex]

Expand the numerator

[tex]\frac{(3^{x+1})(3^{x-1})(3^{x-1})}{9^x}[/tex]

Apply law of indices: [tex]a^m * a^n = a^{m+n}[/tex]

This gives

[tex]\frac{3^{x+1+x-1+x-1}}{9^x}[/tex]

Collect like terms

[tex]\frac{3^{x+x+x+1-1-1}}{9^x}[/tex]

[tex]\frac{3^{3x-1}}{9^x}[/tex]

Express [tex]9^x[/tex] as a factor of 3

[tex]\frac{3^{3x-1}}{3^2^x}[/tex]

Apply law of indices: [tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

This gives

[tex]3^{3x-1-2x}[/tex]

[tex]3^{3x-2x-1}[/tex]

[tex]3^{x-1}[/tex]

Hence,

[tex]\frac{(3^{x+1})(3^{x-1})^2}{9^x}[/tex] is equivalent to [tex]3^{x-1}[/tex]

Answer:

straight line method:

depreciation=cost - residual value

number of years

1. D=8000-200 = 7800 = 1560

5. 5

2. D=1600-5000 = 11000 = 2750

4. 4

3.D= 7500-0 = 7500 = 2500

3. 3

4.D 14300-2800 = 11500 = 2300

5. 5

I am not really good at the rest of them but I hope this works

Answer:

The fitness gram and pacer test

Explanation:

Answer:

n=12

Explanation:

First you have to write out the equation for the problem.

(18+n)/2=n+3

To get rid of the fraction, multiply both sides by 2.

18+n=2n+6

Now subtract n and subtract 6 from both sides and you will have your answer.

12=n

Answer:

n=4

Explanation:

(18-n)/2=n+3

2*((18-n)/2)=(n+3)*2

18-n=2n+6

  +n  +n

18    = 3n+6

-6             -6

12     =3n

÷3      ÷3

4=n

n=4