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love history [14]
4 years ago
5

Simplify i 41 A) i B)-1 C)-i D) 1

Mathematics
2 answers:
katrin2010 [14]4 years ago
7 0

Answer: The right option is A) i^41 = i

Step-by-step explanation:

We want to simplify the expresion i^41.

now we will use the next relations:

a^(x*y) = (a^x)^y

(a^x)(a^y) = a^(a+y)

And we know tath i^2 = -1

i^3 = i*i^2 = -i

i^4 = (i^2)*(i^2) = -1*-1 = 1

now, i^41 = ((i^4)^10)*i = (1^10)*i = i

expeople1 [14]4 years ago
6 0
I^41 = (i^4)^((10) + 1) = i        [i^4 = 1]
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X + y = 12
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Step-by-step explanation:

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Arianna runs up 4 flights of stairs and then runs down 4 flights of stairs.
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Answer:

Yes this represents additive inverse,

Step-by-step explanation:

Since you are subtracting the same number 4 to get to zero.

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3 years ago
What is the product? (2 x minus 1)(x 4) 2 x squared minus 4 2 x squared 4 2 x squared 7 x minus 4 2 x squared minus 7 x minus 4
uysha [10]

The product of the given equation (2x - 1)(x +4) is 2x^{2} +7x -4.

<h3>What is a quadratic equation?</h3>

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The given expression is

(2x - 1)(x +4)

Multiply term by term,

2x \times x + 2x \times 4+ (-1)\times x + (-1)\times 4\\2x^{2} +8x -x -4\\2x^{2} +7x -4

Thus, The product of the given equation is 2x^{2} +7x -4.

Learn more about quadratic equations;

brainly.com/question/13197897

6 0
2 years ago
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marusya05 [52]

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Step-by-step explanation:

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3 years ago
In a jar there are red jelly beans and green jelly beans. In how many ways can you pick red jelly beans and the same number of g
IrinaK [193]

<em>Complete Question:</em>

In a jar there are 19 red jelly beans and 10 green jelly beans. In how many ways can you pick 4 red jelly beans and the same number of green jelly​ beans?

Answer:

Both = 813960

Step-by-step explanation:

Given

Red Jelly Beans = 19

Green = 10

Required

Select 4 out of 19 red jelly beans and 4 out of 10 green jelly beans

The keyword in the question is pick and this implies combination;

4 from 19 red jelly beans is calculated as follows

^nC_r = \frac{n!}{(n-r)!r!}

Where n = 19 and r = 4

^{19}C_4 = \frac{19!}{(19-4)!4!}

^{19}C_4 = \frac{19!}{15!4!}

^{19}C_4 = \frac{19 * 18 * 17 * 16 * 15!}{15! * 4 * 3 * 2 * 1}

^{19}C_4 = \frac{19 * 18 * 17 * 16}{4 * 3 * 2 * 1}

^{19}C_4 = \frac{93024}{24}

^{19}C_4 = 3876

Similarly;

4 from 10 green jelly beans is calculated as follows

^{10}C_4 = \frac{10!}{(10-4)!4!}

^{10}C_4 = \frac{10!}{6!4!}

^{10}C_4 = \frac{10 * 9 * 8 * 7 * 6!}{6! * 4 * 3 * 2 * 1}

^{10}C_4 = \frac{10 * 9 * 8 * 7 }{4 * 3 * 2 * 1}

^{10}C_4 = \frac{5040}{24}

^{10}C_4 = 210

Ways of selecting both is calculated as follows

Both = 3876 * 210

Both = 813960

5 0
4 years ago
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