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3 years ago

What is the solution to the equation 5(x-3) = 2(x+3)?

1 answer:

8 0

Answer:
x = 7

General Formulas and Concepts:
Order of Operations: BPEMDAS

Step-by-Step Explanation:
Step 1: Define
5(x - 3) = 2(x + 3)

Step 2: Solve for x
1. Distribute: 5x - 15 = 2x + 6
2. Subtract 2x on both sides: 3x - 15 = 6
3. Add 15 on both sides: 3x = 21
4. Divide both sides by 3: x = 7

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Iván used to measure the catsup the same as those given

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3 years ago

Explain the relationship between an equation in exponential form and the equivalent equation in logarithmic form.

Eddi Din [679]

$\bf 
log_{{ a}}{{ b}}=y \iff {{ a}}^y={{ b}}\qquad\qquad 
% exponential notation 2nd form
{{ a}}^y={{ b}}\iff log_{{ a}}{{ b}}=y\\
\\ \quad \\
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so... notice the example there, with 8
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4 years ago

The Wall Street Journal reported that automobile crashes cost the United States $162 billion annually (2008 data). The average c

ivanzaharov [21]

Answer:

$n=(\frac{2.326(500)}{120})^2 =93.928 \approx 94$

So the answer for this case would be n=94 rounded up to the nearest integer

Step-by-step explanation:

Information given

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma= 500$ represent the population standard deviation

n represent the sample size

Solution to the problem

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (a)

And on this case we have that ME =120 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The confidence2 level is 98% or 0.98 then the significance level would be $\alpha=1-0.98=0.02$ and $\alpha/2=0.01$ , the critical value for this case would be $z_{\alpha/2}=2.326$ , replacing into formula (b) we got:

$n=(\frac{2.326(500)}{120})^2 =93.928 \approx 94$

So the answer for this case would be n=94 rounded up to the nearest integer

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3 years ago

20 POINTS

tigry1 [53]

This most definitely has to be a rhombus since it is a form of a square with 4 congruent sides where a rectangle only has 4 right angles.
To clarify, a trapezoid only has one pair of parallel sides if you were wondering.

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3 years ago

What is as 8 hundred is 8 thousand

Irina-Kira [14]

Not quite understand the question. We assume that the issue of ratios of numbers of 800 and 8000.
Then 800 is one-tenth of the 8,000 800 other words is 10% of 8000.
Conversely, 8000 it ten times at 800 and 1000% of 800.

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3 years ago