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Dvinal [7]
1 year ago
5

Find the real numbers x and y. 27+yi= 11-x + 4i

Mathematics
1 answer:
Korvikt [17]1 year ago
8 0

\quad \huge \quad \quad \boxed{ \tt \:Answer }

\qquad \tt \rightarrow \:x = -16

\qquad \tt \rightarrow \: y =4

____________________________________

\large \tt Solution  \: :

\qquad \tt \rightarrow \: 27 + yi = 11 - x + 4i

\qquad \tt \rightarrow \: yi + x = 11 + 4i - 27

\qquad \tt \rightarrow \: x + yi =  - 16 + 4i

By equating both equations we get :

\qquad \tt \rightarrow \: x =  - 16

\qquad \tt \rightarrow \: y = 4

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

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Answer:

The representative sample contained more girls than boys.

3 0
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Type the correct answer in each box. Use numerals instead of words. Function g is a transformation of function f. Graph shows 2
yawa3891 [41]

An equation is formed of two equal expressions. The equation of function g(x) in terms of f(x) is g(x) = -3[f(x)].

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given graph is the graph of an exponential function, the general equation of an exponential function is given by the y=aeᵇˣ. To get the function f(x) and g(x), you need to substitute the points in the given function and produce the equation of each function.

The equation for f(x) from the given graph can be written as,

f(x)=e^{(\ln2)x}-2

Now, similarly from the graph the function of g(x) can be written as,

g(x)=-3e^{(\ln2)x}+6

Further, the equation of function g(x) in terms of f(x) can be written as,

g(x) = -3[f(x)]

Learn more about Equation:

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4 0
2 years ago
Hyun Woo is riding a ferris wheel. H t H(t) models his height (in m m) above the ground, t t seconds after the ride starts. Here
worty [1.4K]

Answer:

<u></u>

  • <u>53 seconds.</u>

Explanation:

The text and the model are garbled.

This is the question amended:

<em />

<em>Hyun Woo is riding a ferris wheel. H(t) models his height (in m) above the ground, t seconds after the ride starts. Here, t is entered in radians.</em>

<em>H(t) = -10 cos(2π/150 t)+10</em>

<em />

<em>When does Hyun Woo first reach a height of 16 m?</em>

<em />

<h2>Solution</h2>

<em />

When <em>Hyun Woo reaches a height of 16 m</em> the <em>model </em>states:

  • <em>16 = -10 cos(2π/150 t)+10</em>

<em />

Then you must find the lowest positive value of t that is a solution of the equation.

Solve the equation:

  • <em>16 = -10 cos(2π/150 t)+10</em>

  • 10cos(2π/150 t) = - 6

  • cos(2π/150t) = -0.6

  • 2π/150t = arccos(-0.6)

  • 2π/150t = 2.214297

  • t = 52.86s ≈ 53 s ← answer
4 0
3 years ago
A manufacturing company regularly conducts quality control checks at specified periods on the products it manufactures. Historic
Rina8888 [55]

Answer:

The probability that none of the LED light bulbs are​ defective is 0.7374.

Step-by-step explanation:

The complete question is:

What is the probability that none of the LED light bulbs are​ defective?

Solution:

Let the random variable <em>X</em> represent the number of defective LED light bulbs.

The probability of a LED light bulb being defective is, P (X) = <em>p</em> = 0.03.

A random sample of <em>n</em> = 10 LED light bulbs is selected.

The event of a specific LED light bulb being defective is independent of the other bulbs.

The random variable <em>X</em> thus follows a Binomial distribution with parameters <em>n</em> = 10 and <em>p</em> = 0.03.

The probability mass function of <em>X</em> is:

P(X=x)={10\choose x}(0.03)^{x}(1-0.03)^{10-x};\ x=0,1,2,3...

Compute the probability that none of the LED light bulbs are​ defective as follows:

P(X=0)={10\choose 0}(0.03)^{0}(1-0.03)^{10-0}

                =1\times 1\times 0.737424\\=0.737424\\\approx 0.7374

Thus, the probability that none of the LED light bulbs are​ defective is 0.7374.

6 0
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Write the rate as a fraction in simplest form: 492 miles in 8 hours.
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123 miles 2 hours

Tanks
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