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2 years ago

8

Describe how to simplify the expression

2 answers:

OverLord2011 [107]2 years ago

8 0

Answer:

just add all the p's and m's together and add all the numbers together

Step-by-step explanation:

UkoKoshka [18]2 years ago

4 0

All you would have to do is combine all like terms like p and m

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How to do this?

Mandarinka [93]

This equation uses two properties of logarithms:

$\ln(g^x) = x \ln(g)$

$\ln(a) + \ln(b) = \ln(ab)$

So you could take the ln from left and right hand side in the equation, and get:

(2-x)ln 3 = x ln 5

then

2 ln 3 - x ln 3 - x ln 5 = 0 =>

x(ln 3 + ln 5) = 2 ln 3

so x = 2 ln 3 / (ln3 + ln5)

Now using the 1st property you can say 2 ln 3 is ln 3² = ln9
and using the 2nd property you can say ln3 + ln5 = ln15

so x= ln9 / ln15

7 0

3 years ago

Given sin A = 12/13 and that angle A is in Quadrant 1,

UkoKoshka [18]

We have been given that $\text{sin}(A)=\frac{12}{13}$ and angle A is in quadrant 1. We are asked to find the exact value of $\text{cot}(A)$ in simplest radical form.

We know that sine relates opposite side of right triangle with hypotenuse.

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

This means that opposite side is 12 units and hypotenuse is 13 units.

We know that cotangent relates adjacent side of right triangle with adjacent side.

$\text{cot}=\frac{\text{Adjacent}}{\text{Opposite}}$

Now we will find adjacent side using Pythagoras theorem as:

$\text{Adjacent}^2=\text{Hypotenuse}^2-\text{Oppoiste}^2$

$\text{Adjacent}^2=13^2-12^2$

$\text{Adjacent}^2=169-144$

$\text{Adjacent}^2=25$

Let us take positive square root on both sides:

$\sqrt{\text{Adjacent}^2}=\sqrt{25}$

$\text{Adjacent}=5$

Therefore, adjacent side of angle A is 5 units.

$\text{cot}(A)=\frac{5}{12}$

Therefore, the exact value of cot A is $\frac{5}{12}$ .

5 0

2 years ago

URGENT!!!!!<br> What is the value is x?<br> A. 5.375<br> B. 5.5<br> C. 11<br> D. 13

vodka [1.7K]

Answer:

value of x is B 5.5

Step-by-step explanation:

B 5.5 value of X

7 0

2 years ago

Read 2 more answers

A cereal box has dimensions of 10 1/2 inches by 7 1/2 inches by 2 1/2 inches. What is the volume of the cereal box? 19 1/2 in³ 2

Temka [501]

196 3/8 in^3. To get this, multiply all the numbers together. To find volume, the equation is length x width x height.

5 0

2 years ago

Please answer these questions

lianna [129]

Answer:

8. -3, 16

9. -3, 4.5

Step-by-step explanation:

See attached worksheet.

4 0

1 year ago

Read 2 more answers