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garri49 [273]
2 years ago
8

There are 7 students at the Math Club picnic. If 2 students are drinking punch and 5 are drinking lemonade, what fraction are dr

inking punch?
Mathematics
1 answer:
olasank [31]2 years ago
8 0

Answer:

2/7

Step-by-step explanation:

2 are drinking punch

5 are drinking lemonade

------------------------------------

7 in total

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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
2 years ago
Read 2 more answers
Martina and charlotte are sharing a pizza.The pizza is cut into eight pieces. Martina ate a quarter of the pizza. Charlotte ate
Zigmanuir [339]

Answer:

4 pieces

Step-by-step explanation:

This is because 3 add 1 makes 4 and 8 minus 4 makes 4

3 0
3 years ago
What is 5/14 simplified ? Need answer ASAP.
iogann1982 [59]

Answer:

5/14

Step-by-step explanation:

5/14 is the simplified form.

6 0
3 years ago
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Suppose an angle α is drawn in standard position. In each case, use the information to determine what quadrant α is in.
cupoosta [38]
Since <span> sin(α) > 0 and cos(α) > 0
so </span><span>α is IN THE FIRST QUADRANT  (I)</span>
4 0
2 years ago
Find the value of t perimeter
Natali5045456 [20]

Answer:

<h2><em><u>t = 15.2 is the answer</u></em></h2>

Step-by-step explanation:

<h2><em><u>1. Make an equation</u></em></h2>

numbers to find perimeter = perimeter

Side + Side + 2 unknown sides = perimeter

12 + 7.8 + 2t = 50.2

<h2><em><u>2. Simplify like terms</u></em></h2>

19.8 + 2t = 50.2

<h2><em><u>3. Solve</u></em></h2>

19.8 + 2t = 50.2

-19.8        - 19.8

2t = 30.4

<h2><em><u>t = 15.2</u></em></h2>

<h2><u><em>4. Check:</em></u></h2>

12 + 7.8 + t + t = 50.2

12 + 7.8 + (15.2) + (15.2) = 50.2

<h2><em><u>50.2 = 50.2</u></em>   Correct!</h2><h2 />

Hope this helped,

Kavitha

7 0
3 years ago
Read 2 more answers
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