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elena-14-01-66 [18.8K]
3 years ago
11

Question 2 (6 points)

Mathematics
1 answer:
alexdok [17]3 years ago
4 0

Answer:

here

Step-by-step explanation:

it is basically a sector , use the area formula i.e.  

[(theta)/360]*πr^2

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What is the range of y=5(11)x
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Answer:

Domain: ( − ∞ , ∞ ) ,  { x | x ∈ R}

Range: ( − ∞ , ∞ ) ,  { y | y ∈ R}

Step-by-step explanation:

We can simplify to understand how to answer the question better.

<em>5 * 11x = 55x</em>

<u>Function range definition:</u><u> </u>

The set of values of the dependent variable for which a function is defined.

  • The range of polynomials with odd degree is all real numbers.

<u>So the solution is.. </u>

-∞<x< ∞

<u>And the interval notation is..</u>

(- ∞. ∞)

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For the function f(x)=|x−7|−4, evaluate f(x+1).
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Answer:

\displaystyle{f(x+1)=|x-6|-4}

Step-by-step explanation:

To evaluate \displaystyle{f(x+1)}, substitute \displaystyle{x} to \displaystyle{x+1} so we should have:

\displaystyle{f(x+1) = |x+1-7|-4}

Evaluate the expression and finally, we have:

\displaystyle{f(x+1)=|x-6|-4}

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What is the value of i^n in if the remainder of n/4 is 2?
LekaFEV [45]

The value of {i^n} is \boxed{ - 1} if the remainder of \dfrac{n}{4} is 2.

Further Explanation:

Given:

The remainder of \dfrac{n}{4} is 2.

Explanation:

The sum of imaginary numbers and real numbers is known as the complex number.

The complex number can be expressed as follows,

\boxed{z = a + ib}

Here, a is the real part of the complex number and \text{ib} is the imaginary part of the complex number.

\sqrt{ - 1} can be denoted by i.

The value of {i^2} is -1.

{i^2} =  - 1

The value {i^3} can be obtained as follows,

\begin{aligned}{i^3}&= {i^2} \times i\\&= - 1 \times i \\&= - i\\\end{aligned}

The value {i^4} can be obtained as follows,

\begin{aligned}{i^4} &= {i^2} \times {i^2}\\&= - 1 \times - 1 \\&= 1\\\end{aligned}

The value of {i^n} is \boxed{ - 1} if the remainder of \dfrac{n}{4} is 2.

Learn more:

  1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Complex numbers

Keywords: value, i^ n, remainder, n/4, 2 quotient, divisor, complex number, imaginary number, real number, exponents, dividend, powers, -1, imaginary roots.

5 0
3 years ago
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