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4 years ago

Using n for the number of jerseys ordered and c for the total cost in dollars,

Mathematics

2 answers:

mr Goodwill [35]4 years ago

4 0

Answer:

98$

Step-by-step explanation:

Natasha_Volkova [10]4 years ago

3 0

985 dólares es el resultado

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1,848/1,386 As a fraction

Tpy6a [65]

Are you looking to reduce this fraction? if so it would be 4/3. hope this helps!

8 0

3 years ago

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How do I convert metric distances with decimals? Example: 3.9 cm=___millimeters.

ElenaW [278]

For that eg., times 3.9 by 10

39 mm

6 0

3 years ago

Use multiplication or division of power series to find the first three nonzero terms in the Maclaurin series for each function.

Lunna [17]

Answer:

The first three nonzero terms in the Maclaurin series is

$\mathbf{ 5e^{-x^2} cos (4x) }= \mathbf{ 5 ( 1 -9x^2 + \dfrac{115}{6}x^4+ ...) }$

Step-by-step explanation:

GIven that:

$f(x) = 5e^{-x^2} cos (4x)$

The Maclaurin series of cos x can be expressed as :

$\mathtt{cos \ x = \sum \limits ^{\infty}_{n =0} (-1)^n \dfrac{x^{2n}}{2!} = 1 - \dfrac{x^2}{2!}+\dfrac{x^4}{4!}-\dfrac{x^6}{6!}+... \ \ \ (1)}$

$\mathtt{e^{-2^x} = \sum \limits^{\infty}_{n=0} \ \dfrac{(-x^2)^n}{n!} = \sum \limits ^{\infty}_{n=0} (-1)^n \ \dfrac{x^{2n} }{x!} = 1 -x^2+ \dfrac{x^4}{2!} -\dfrac{x^6}{3!}+... \ \ \ (2)}$

From equation(1), substituting x with (4x), Then:

$\mathtt{cos (4x) = 1 - \dfrac{(4x)^2}{2!}+ \dfrac{(4x)^4}{4!}- \dfrac{(4x)^6}{6!}+...}$

The first three terms of cos (4x) is:

$\mathtt{cos (4x) = 1 - \dfrac{(4x)^2}{2!}+ \dfrac{(4x)^4}{4!}-...}$

$\mathtt{cos (4x) = 1 - \dfrac{16x^2}{2}+ \dfrac{256x^4}{24}-...}$

$\mathtt{cos (4x) = 1 - 8x^2+ \dfrac{32x^4}{3}-... \ \ \ (3)}$

Multiplying equation (2) with (3); we have :

$\mathtt{ e^{-x^2} cos (4x) = ( 1- x^2 + \dfrac{x^4}{2!} ) \times ( 1 - 8x^2 + \dfrac{32 \ x^4}{3} ) }$

$\mathtt{ e^{-x^2} cos (4x) = ( 1+ (-8-1)x^2 + (\dfrac{32}{3} + \dfrac{1}{2}+8)x^4 + ...) }$

$\mathtt{ e^{-x^2} cos (4x) = ( 1 -9x^2 + (\dfrac{64+3+48}{6})x^4+ ...) }$

$\mathtt{ e^{-x^2} cos (4x) = ( 1 -9x^2 + \dfrac{115}{6}x^4+ ...) }$

Finally , multiplying 5 with $\mathtt{ e^{-x^2} cos (4x) }$ ; we have:

The first three nonzero terms in the Maclaurin series is

$\mathbf{ 5e^{-x^2} cos (4x) }= \mathbf{ 5 ( 1 -9x^2 + \dfrac{115}{6}x^4+ ...) }$

7 0

4 years ago

According to the rule of 72, if Gina invests $100, $500, and $1000 into three separate accounts with the same interest rate, whi

Makovka662 [10]

Let's say the APR is 5%. That means you get 5% of your balance back every year. The $100 balance would get $5 back, the $500 balance would get $25 back, and the $1000 balance would get $50 back. Therefore, all of the balances would take the same amount of time to double, and it would take all of them 20 years.

$5*20 years=$100
$25*20 years=$500
$50*20 years=$1000

7 0

4 years ago

Need help on this ight

stepladder [879]

Answer:

it should be the measure angles are the same bc you are just reflecting it.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers