1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sergejj [24]
3 years ago
8

Which expression is equivalent to i^256?-1i1-i

Mathematics
2 answers:
andriy [413]3 years ago
4 0

Answer:

1

Step-by-step explanation:

i²⁵⁶ is the equivalent of (i²)¹²⁸.

(i²)¹²⁸ = (-1)¹²⁸ = 1.

BigorU [14]3 years ago
3 0

Answer:

\Huge \boxed{1}

Step-by-step explanation:

i^{256}

(i^4)^{64}

Apply identity : i^4 =1

1^{64}=1

You might be interested in
Please help me find the measure of the arc or angle indicated. (Angles on circles)
nata0808 [166]

Answer: 9. 54; 10. 220; 11. 71; 12. 262

Step-by-step explanation: Chord and tangent intersection angle is half the arc measure or circle, and inscribed angles are also half the included arc measure

5 0
3 years ago
Help asap! will mark brainlyst
slava [35]

Answer:

The answer will be 3.55

Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
A travel company sells holidays and wants to survey 500 customers stratified by country visited, complete the table.
OlgaM077 [116]

Answer:

\left|\begin{array}{c|c|c|c|c||c}$Country Visited&$UK& $France& $Spain& $Italy &$Total\\&&&&&\\$Number of Customers &968& 248& 2042& 742& 4000\\&&&&&\\$Number of sample&121&31&255&93&500\end{array}\right|

Step-by-step explanation:

\left|\begin{array}{c|c|c|c|c||c}$Country Visited&$UK& $France& $Spain& $Italy &$Total\\$Number of Customers &968& 248& 2042& 742& 4000\\$Number of sample&&&&&&\end{array}\right|

Since the company wants to survey 500 customers by the countries visited, the number of samples from each country will be proportional to the number of customers.

For UK, Number of Samples=\dfrac{968}{4000}X500=121

For France, Number of Samples=\dfrac{248}{4000}X500=31

For Spain, Number of Samples=\dfrac{2042}{4000}X500\approx 255

For Italy, Number of Samples=\dfrac{742}{4000}X500\approx 93

The completed table therefore is:

\left|\begin{array}{c|c|c|c|c||c}$Country Visited&$UK& $France& $Spain& $Italy &$Total\\&&&&&\\$Number of Customers &968& 248& 2042& 742& 4000\\&&&&&\\$Number of sample&121&31&255&93&500\end{array}\right|

7 0
3 years ago
Read 2 more answers
The lifetime, in years, of some electronic component is a continuous random variable with the density f(x) =   k x4 for x ≥ 1
yuradex [85]

I suppose the density is supposed to be

f(x)=\begin{cases}\frac k{x^4}&\text{for }x\ge1\\0&\text{otherwise}\end{cases}

(since kx^4 diverges as x\to\infty, and 0 is conveniently left out of the domain)

For this to be a proper density function, it must be positive (it is) and its integral over the support [1,\infty) must evaluate to 1. We have

\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=\int_1^\infty\frac k{x^4}\,\mathrm dx=-\frac k{3x^3}\bigg|_1^\infty=\frac k3=1

which means k=3.

The distribution function is obtained by integrating the density:

F(x)=\displaystyle\int_{-\infty}^xf(t)\,\mathrm dt=\begin{cases}0&\text{for }x

The probability that the component exceeds 2 years in its lifetime is

P(X>2)=1-P(X\le 2)=1-F(2)=1-\left(1-\dfrac18\right)=\dfrac18

3 0
3 years ago
Consider the function f(x) = the quantity x squared minus x minus 12 all over the quantity x plus 3. Describe the graph of this
mamaluj [8]

f(x)=((x-4)(x+3))/(x+3)

simpify

f(x)=x-4

see we eliminated x+3?

That is a hole

find the value of that hole

x+3=0

x=-3

input into simplified function

f(-3)=-3-4

f(-3)=-7

the hole (discontinuity) is at (-3,-7)

f(x)=x-4

where does it cross x axis?

0=x-4

4=x

xint is x=4 or (4,0)

yint is where x=0

f(0)=0-4=-4

yint is (0,-4)


basically

it is a line, f(x)=x-4 with a hole at (-3,7)

with xint at (4,0) and yint at (0,-4)
6 0
3 years ago
Other questions:
  • Julie is selling candy bars to raise money for new band uniforms. Candy bar X sells for $2 and candy bar Y sells for $3. Julie n
    13·2 answers
  • Write 600 as the product of prime factors. give the answer in index form
    14·2 answers
  • Find the total surface area of a cylinder if r=2 and h=8
    5·1 answer
  • Calculate S58 for the arithmetic sequence {an}= {5/6n+1/3} If you could show me the steps that would be great. I keep following
    5·1 answer
  • PLEASE HELPWhich line has an equation of Y-5X+4 in slope-intercept form?
    11·1 answer
  • HELP ASAP I don’t get it
    15·2 answers
  • Four streets feed into a roundabout circle as shown below. If the diameter of the
    11·1 answer
  • Dec 18, 11:45:23 AM
    7·1 answer
  • Please can somebody help me with this problem?
    13·2 answers
  • The composite shape is made up of two different rectangles and two different triangles. What is the area of the composite shape
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!