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d1i1m1o1n [39]
3 years ago
15

The Ruiz family is exchanging euros for US dollars. The exchange rate is 1 euro equals 1.35261 USD. Since the Ruiz family knows

that USD are stated to the nearest hundredth of a dollar, they used the conversion ratio 1.35 USD over 1 Euro. Will this give the Ruiz family the correct exchange? Explain.
Mathematics
1 answer:
IRINA_888 [86]3 years ago
5 0
Well, this will give them a correct exchange, this is because if you round 1.35261 to the nearest hundredth 1 euro would be one dollar and 35 cents. I hope this helped!
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Answer:

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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.
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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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What is the surface area of a square prism with sides that measure 8 units?
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Answer:

<em>The surface area of square prism = 384 units squared</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<em>Given the square prism side 'a' = 8 units</em>

<em>The surface area of square prism = 2 a² + 4 a h</em>

Given square prism length , width and height also equal identical sides

The surface area of square prism = 2 a² + 4 a h

                                                        = 2(8)² + 4 (8)(8)

                                                        = 2(64) + 4(64)

                                                       = 384 units squared

<u><em>Final answer</em></u>:-

<em>The surface area of square prism = 384 units squared</em>

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A boat leaves a.M. Marina at 7 AM traveling at 3.4 knots bearing is N38°E the boat docks on an island at 2pm how far north of th
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Answer:

The distance between the docks & island is 44.07 km.

Step-by-step explanation:

Speed of the boat S = 3.4 knot = 6.3 \frac{km}{hr}

Time taken by bot to reach the island = 7 hr

We know that the distance is given by

Distance = Speed × Time

Put all the values in above equation we get

D = 6.3 × 7

D = 44.07 km

Therefore the distance between the docks & island is 44.07 km.

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