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3 years ago

Write an equation for the nth term of the arithmetic sequence 44, 62,80,98

Mathematics

1 answer:

weeeeeb [17]3 years ago

8 0

Answer:

$a_{n}$ = 18n + 26

Step-by-step explanation:

The n th term of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 44 and d = 62 - 44 = 18 , thus

$a_{n}$ = 44 + 18(n - 1) = 44 + 18n - 18 = 18n + 26

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Which number is rational? 2 square root, pi ,10 square root ,16 squeare root

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Answer:

Square root of 16 is rational beacuse Square root of 16=4 Whlie the others are Irational.

Step-by-step explanation:

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A strobe light is located at the center of a square dance room. the rotating light is 40 feet from each of the square walls and

Effectus [21]

The equation of the rotating light is an illustration of a secant function

The equation that represents the distance between the center of the circle and the light source is $d(t) = 40\sec(\frac{\pi}{3}t)$

<h3>How to determine the equation</h3>

The equation is a secant function represented by

$y =A\sec(Bt)$

Where:

A represents the amplitude

So, we have:

$A = 40$ --- the distance of the light from each square wall

B represents the period, and it is calculated as:

$B = \frac{2\pi}{T}$

The light completes its full rotation every 6 seconds.

This means that,

T = 6

So, we have:

$B = \frac{2\pi}{6}$

Simplify

$B = \frac{\pi}{3}$

Substitute values for A and B in $y =A\sec(Bt)$

$y = 40\sec(\frac{\pi}{3}t)$

Rewrite as a function

$d(t) = 40\sec(\frac{\pi}{3}t)$

Hence, the equation that represents the distance between the center of the circle and the light source is $d(t) = 40\sec(\frac{\pi}{3}t)$

Read more about trigonometry functions at:

brainly.com/question/1143565

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2 years ago

Help and I will make you a brainllest

ahrayia [7]

Answer:

yes

Step-by-step explanation:

Hope this helps:)

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Please answer and thank you

Aleksandr [31]

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647.6 ÷ what = 0.6476

pshichka [43]

Answer:

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Step-by-step explanation:

You see it is the same numbers just it was moved 3 places to the left.

So the you would multiply it by .001 <------ there are 3 decimal places.

When you multiply them you get.

647.6*.001= .6476

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