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natta225 [31]
3 years ago
8

Find an equivalent mixed number for the decimal number 16.3

Mathematics
2 answers:
Lena [83]3 years ago
6 0

Answer:16 3/10

Step-by-step explanation:

BARSIC [14]3 years ago
4 0
The answer would be 163/10.
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If f (n)(0) = (n + 1)! for n = 0, 1, 2, , find the taylor series at a=0 for f.
Pie
Given that f^{(n)}(0)=(n+1)!, we have for f(x) the Taylor series expansion about 0 as

f(x)=\displaystyle\sum_{n=0}^\infty\frac{(n+1)!}{n!}x^n=\sum_{n=0}^\infty(n+1)x^n

Replace n+1 with n, so that the series is equivalent to

f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}

and notice that

\displaystyle\frac{\mathrm d}{\mathrm dx}\sum_{n=0}^\infty x^n=\sum_{n=1}^\infty nx^{n-1}

Recall that for |x|, we have

\displaystyle\sum_{n=0}^\infty x^n=\frac1{1-x}

which means

f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}=\frac{\mathrm d}{\mathrm dx}\frac1{1-x}
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3 years ago
robert has money in his saving account. he spent $35 of it on a new jacket. he has $70 left. how much money did he have his savi
aliina [53]
He had $105 in his savings
6 0
3 years ago
Olivia flips a two-sided counter and then spins a spinner with six equal-size sections labeled 1 through 6. One side of the coun
Novay_Z [31]

Answer:

12

Step-by-step explanation:

A 2 - sided counter ; (red, yellow)

A spinner (1,2,3,4,5,6)

Number of trials = 80

P(red and number > 3) :

P(red) = 1/2 ;

P(number >3) : numbers greater Than 3 = (4, 5, 6)

Hence, P(number <3) = 3 /6 = 1/2

Theoretical probability = 1/2 *1/2 = 1/4

Expected number of outcomes :

1/4 * number of trials

1/4 * 80 = 20

Experimental outcome :

Relative frequency = number of outcomes / number of trials

Relative frequency = 2/5

Hence,

2/5 = number of outcomes / 80

Cross multiply :

160 = number of outcomes * 5

Number of outcomes = 160 /5 = 32

Actual outcomes = 32

Difference between actual and expected :

32 - 20 = 12

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3 years ago
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Vika [28.1K]

Answer:

C

Step-by-step explanation:


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3 years ago
Find the GCF of <br><img src="https://tex.z-dn.net/?f=%20%7B6x%7D%5E%7B4%7D%20%20-%20%20%7B24x%7D%5E%7B3%7D%20" id="TexFormula1"
kotykmax [81]
Here ya go
Math.way is the way to go ^v^
Hope ya have a good one

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