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shtirl [24]
3 years ago
14

log_{3}(5) \times log_{3}(4 ) " alt=" 3log_{3}(5) \times log_{3}(4 ) " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
olga nikolaevna [1]3 years ago
8 0

Answer:

log3 (500)

Step-by-step explanation:

3 log3 (5) * log3(4)

We know that a log b(c) = log b(c^a)

log3 (5)^3 * log3(4)

We know that log a(b) * log a (c) = loga( b*c)

log3 ((5)^3 * 4)

log3 (125*4)

log3 (500)

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Help! What si the verbal expression for this algebraic expression: 2x - 4 < 4x +8
katrin2010 [14]

Answer:

C. Four less than the product of two and a number is less than the product of four and the same number increased by eight.

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Converting expressions to word form

Step-by-step explanation:

<u>Step 1: Define</u>

2x - 4 < 4x + 8

<u>Step 2: Translate</u>

"2x" is the product of two and a number <em>x</em>

" - 4" is four less

"<" is less than

"4x" is the product of four and a number <em>x</em>

" + 8" is increased by 8

<u>Step 3: Combine</u>

The difference between the product of two and a number <em>x</em> and 4 is less than the sum of the product of four and a number <em>x</em> and 8.

<u>Step 4: Reword</u>

Four less than the product of two and a number is less than the product of four and the same number increased by eight.

4 0
3 years ago
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What is the perimeter of this triangle?
stiks02 [169]
The perimeter of the triangle would be B)18. the triangle's sides are equal and you can tell by the single lines on each side symbolizing that all the sides are equal. To find perimeter, you have to add all sides together, and in this case it is 6. When 6 is added three times, it equals 18, which is the answer.
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Simplify the expression cos x cot x+ sin x please select the best answer from the choices provided a.0, b.csc x, c. Tan x, d sec
expeople1 [14]

Answer:

cot x = \frac{cos x}{sin x}

cos x \frac{cos x}{sin x} + sin x

\frac{cos^2 x}{sin x} +sin x

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Solving for cos^2 x we got cos^2 x =1 -sin^2 x and replacing this we got:

\frac{1-sin^2 x}{sin x} +sin x

\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x

csc x -sin x + sin x = csc x

And then the best option for this case would be:

b.csc x

Step-by-step explanation:

For this case we have the following expression given:

cos x cot x + sin x

We know from math properties that the definition for cot is cot x = \frac{cos x}{sin x}

If we use this definition we got:

cos x \frac{cos x}{sin x} + sin x

\frac{cos^2 x}{sin x} +sin x

Now we can use the following identity:

sin^2 x + cos^2 x =1

Solving for cos^2 x we got cos^2 x =1 -sin^2 x and replacing this we got:

\frac{1-sin^2 x}{sin x} +sin x

\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x

csc x -sin x + sin x = csc x

And then the best option for this case would be:

b.csc x

4 0
3 years ago
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Answer:62.5%

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anyanavicka [17]

Answer:

10

Step-by-step explanation:

5! divided by all the repeats so 3!2! = 10 ways

6 0
3 years ago
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