Which statement correctly describes the lines shown on the graph?

Mathematics

1 answer:

maksim [4K]3 years ago

5 0

Answer:

Step-by-step explanation:

Only the green and pink lines represent a proportional relationship.

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Ms. Tyson is doing an engineering challenge with her students. Each team will get a kit with bags of marshmallows and boxes of t

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Answer:

Step-by-step explanation:

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3 years ago

Which property is used to simplify the expression 5(3x +18) to 15x+90

natka813 [3]

Answer:

Distributive

Step-by-step explanation:

You distribute the 5 into 3x+18, multiplying it by each part of the equation (each part is separated by one of these signs: +, -, x, or /) to get 15x (from 5 x 3x) plus 60 (from 5 x 18).

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About 6% of the population has a particular genetic mutation. 600 people are randomly selected. find the standard deviation for

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3 years ago

Find maclaurin series

Mumz [18]

Recall the Maclaurin expansion for cos(x), valid for all real x :

$\displaystyle \cos(x) = \sum_{n=0}^\infty (-1)^n \frac{x^{2n}}{(2n)!}$

Then replacing x with √5 x (I'm assuming you mean √5 times x, and not √(5x)) gives

$\displaystyle \cos\left(\sqrt 5\,x\right) = \sum_{n=0}^\infty (-1)^n \frac{\left(\sqrt5\,x\right)^{2n}}{(2n)!} = \sum_{n=0}^\infty (-5)^n \frac{x^{2n}}{(2n)!}$

The first 3 terms of the series are

$\cos\left(\sqrt5\,x\right) \approx 1 - \dfrac{5x^2}2 + \dfrac{25x^4}{24}$

and the general n-th term is as shown in the series.

In case you did mean cos(√(5x)), we would instead end up with

$\displaystyle \cos\left(\sqrt{5x}\right) = \sum_{n=0}^\infty (-1)^n \frac{\left(\sqrt{5x}\right)^{2n}}{(2n)!} = \sum_{n=0}^\infty (-5)^n \frac{x^n}{(2n)!}$