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4 years ago

What is equivalent to ln(e^3)

Mathematics

2 answers:

malfutka [58]4 years ago

4 0

Answer:

Step-by-step explanation:

The natural log is the inverse of the exponential (and vise versa), so ln(e^3) = 3.

(This is the also same as e^(ln3))

masha68 [24]4 years ago

4 0

Answer:

ln(e^3) = 3

Step-by-step explanation:

Correct me if I'm wrong

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What Is the best way to describe an inequality?

andrew11 [14]

Answer:

Social inequality is the existence of unequal opportunities and rewards for different social positions or statuses within a group or society. Let's examine some causes and effects of poverty and test our knowledge with a quiz.

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3 years ago

10. Write in slope-intercept form:<br> -3x + 4y = 12

Anastasy [175]

Answer:

Step-by-step explanation:

Write in slope-intercept form:

-3x + 4y = 12 is

Slope = 1.500/2.000 = 0.750

x-intercept = 12/-3 = 4/-1 = -4.00000

y-intercept = 12/4 = 3

7 0

3 years ago

Please please help if you can it would mean a lot. Thank you!!

zheka24 [161]

11. 6:18 = 1:3
12. 12:48 = 1:4
13. 17:34 = 1:2
14. 8:64 = 1:8

15. 44:4 = 11:1
16. 121:11 = 11:1
17. 12:2 = 6:1
18. 4:2 = 2:1

19. 3:4 and 2:3 = 9:12 and 8:12
20. 1:6 and 3:14 = 7:42 and 9:42
21. 2:7 and 3:5 = 10:35 and 21:35
22. 5:2 and 3:1 = 5:2 and 6:2

Comparing Ratios:

1. 1.7 m = 170 cm
20:170 = 2:17

2. 160:8 = 20:1

3. 15:50 = 3:10

4. For every cup of milk she needs 5 cups of flour, so if she uses 3 cups of milk she'd need 15 cups of flour

Hopefully that helps :)

3 0

3 years ago

How do you solve these equations? I don't want you to answer all of them, just tell me how to solve each type of equation on the

miss Akunina [59]

Answer:

8. Identify the common denominator; express each fraction using that denominator; combine the numerators of those rewritten fractions and express the result over the common denominator. Factor out any common factors from numerator and denominator in your result. (It's exactly the same set of instructions that apply for completely numerical fractions.)

9. As with numerical fractions, multiply the numerator by the inverse of the denominator; cancel common factors from numerator and denominator.

10. The method often recommended is to multiply the equation by a common denominator to eliminate the fractions. Then solve in the usual way. Check all answers. If one of the answers makes your multiplier (common denominator) be zero, it is extraneous. (10a cannot have extraneous solutions; 10b might)

Step-by-step explanation:

For a couple of these, it is helpful to remember that (a-b) = -(b-a).

$\dfrac{5}{x+2}+\dfrac{25-x}{x^2-3x-10}=\dfrac{5(x-5)}{(x+2)(x-5)}+\dfrac{25-x}{(x+2)(x-5)}\\\\=\dfrac{5x-25+25-x}{(x+2)(x-5)}=\dfrac{4x}{x^2-3x-10}$

___

$\displaystyle\frac{\left(\frac{x}{x-2}\right)}{\left(\frac{2x}{2-x}\right)}=\frac{x}{x-2}\cdot\frac{-(x-2)}{2x}=\frac{-x(x-2)}{2x(x-2)}=-\frac{1}{2}$

___

$\dfrac{3}{x-1}+\dfrac{6}{x^2-3x+2}=2\\\\\dfrac{3(x-2)}{(x-1)(x-2)}+\dfrac{6}{(x-1)(x-2)}=\dfrac{2(x-1)(x-2)}{(x-1)(x-2)}\\\\3x-6+6=2(x^2-3x+2) \qquad\text{multiply by the denominator}\\\\2x^2-9x+4=0 \qquad\text{subtract 3x}\\\\(2x-1)(x-4)=0 \qquad\text{factor; x=1/2, x=4}$

Neither solution makes any denominator be zero, so both are good solutions.

8 0

3 years ago

If x² + x² + x² = 6, what is x?

max2010maxim [7]

Answer:

Square root of 2

Step-by-step explanation:

3x²=6

Divide each side by 3: 3x² ÷ 3=6÷3

X²=2

Then square root each side

So answer is square root of 2

8 0

4 years ago

Read 2 more answers