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3 years ago

Calculate 3n-1 for n equals 2 to 10 explain how you know that the numbers are composite

Mathematics

1 answer:

Troyanec [42]3 years ago

5 0

composite number means a number that can be formed by multiplying two smaller numbers

3n-1 for n=2, 3n-1=3*2-1=6-1=5

3n-1 for n=10, 3n-1=3*10-1=30-1=29

5 is composite because 2*2.5=5

29 is composite because 5*5.8=29

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LekaFEV [45]

Answer: $y-1=\dfrac32(x+3)$

Step-by-step explanation:

Slope of a line passes through (a,b) and (c,d) = $\dfrac{d-b}{c-a}$

In graph(below) given line is passing through (-2,-4) and (2,2) .

Slope of the given line passing through (-2,-4) and (2,2) = $\dfrac{-4-2}{-2-2}=\dfrac{-6}{-4}=\dfrac{3}{2}$

Since parallel lines have equal slope . That means slope of the required line would be .

Equation of a line passing through (a,b) and has slope m is given by :_

(y-b)=m(x-a)

Then, Equation of a line passing through(-3, 1) and has slope = is given by

$(y-1)=\dfrac32(x-(-3))\\\\\Rightarrow\ y-1=\dfrac32(x+3)$

Required equation: $y-1=\dfrac32(x+3)$

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3 years ago

1 + 5sin^2x= 7sin^2x solve trig equation. Can you show me how to solve this trig equation?

pantera1 [17]

Answer: $x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}$

Step by step:

$1 + 5\sin^2x= 7\sin^2x\\\sin^2 x\rightarrow z\\1 + 5z = 7z\\2z = 1\\z = \frac{1}{2}\implies \sin^2 x = \frac{1}{2}\\|\sin x| = \frac{1}{\sqrt{2}}\\\sin x = \pm\frac{1}{\sqrt{2}}=\pm\frac{\sqrt{2}}{2}\\\implies x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}$

(Used a table of common angles)

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3 years ago

This is hard so i put more points and uhm this is stupid -w-

MAVERICK [17]

Answer:

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are.

Step-by-step explanation:

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3 years ago

Read 2 more answers

Approximately how fast does a car have to travel if it can travel from North Carolina to New York in 12 hours

garri49 [273]

The distance is approximately 703 kilometers.
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3 years ago

1920.2923 in expanded form and in words

STALIN [3.7K]

Answer:

1,000

+ 900

+ 20

+ 0

+ 0.2

+ 0.09

+ 0.002

+ 0.0003

Step-by-step explanation:

one thousand nine hundred twenty and two thousand nine hundred twenty-three ten-thousandths

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3 years ago