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3 years ago

What is the nth term of 2,5,8,11,14

Mathematics

2 answers:

Nadusha1986 [10]3 years ago

3 0

Answer:

f(n) = 2 + 3(n-1)

Step-by-step explanation:

Novosadov [1.4K]3 years ago

3 0

Answer:

f(n) = 2 + 3(n-1)

Step-by-step explanation:

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Given the line 2x - 3y - 5 = 0, find the slope of a line that is perpendicular to this line.

Tasya [4]

Answer:

The slope of a line that is perpendicular to the given line is $-\frac{3}{2}$

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept.

Solve for "y" from the equation of the line $2x - 3y - 5 = 0$ :

$2x - 3y - 5 = 0\\\\-3y=-2x+5\\\\y=\frac{-2}{-3}x+\frac{5}{-3}\\\\y=\frac{2}{3}x-\frac{5}{3}$

You can observe that the slope of this line is:

$m=\frac{2}{3}$

By definition, the slopes of perpendicular lines are negative reciprocal, then, the slope of a line that is perpendicular to the give line, is

$m=-\frac{3}{2}$

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3 years ago

Find the population variance and standard deviation. 8â€‹, 17â€‹, 29â€‹, 35â€‹, 41 Choose the correct answer below. Fill in the

Nuetrik [128]

Answer:

(a) σ² = 144

(b) s² = 12

Step-by-step explanation:

(a) Population variance σ² = ∑(X - $\overline{X}$ )² / N

The arithmetic mean $\overline{X} = \frac{8 + 17 + 29 + 35 + 41}{5}$

$\overline{X} = \frac{130}{5}$

$\overline{X} = 26$

σ² = $\frac{(8 - 26)^{2} + (17 - 26)^{2} + (29 - 26)^{2} + (35 - 26)^{2} + (41 - 26)^{2}}{5}$

= $\frac{(- 18)^{2} + (- 9)^{2} + (3)^{2} + (9)^{2} + (15)^{2}}{5}$

= $\frac{324\ +\ 81\ +\ 9\ +\ 81\ +\ 225}{5}$

= $\frac{720}{4}$

σ² = 144

(b) $Standard\ deviation = \sqrt{Variance}$

$= \sqrt{144}$

= 12

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3 years ago

Use substitution to show that 9+ 6(10-7x) is equivalent to 69-42x.

OverLord2011 [107]

9 + 60 -42x
9+60 = 69
= 69- 42x

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4 years ago

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What is 5,853.128 rounded to the nearest hundredth?

polet [3.4K]

This number rounded to the nearest hundredth would be 5,853.13

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4 years ago

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What is the value of 6.7x 0.54=

xxMikexx [17]

Answer:

The answer is 3.618

Step-by-step explanation:

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3 years ago

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