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vlada-n [284]
3 years ago
11

Are these ordered pairs a function? yes or no(3,4)(5,6)(7,8)(5,9)

Mathematics
1 answer:
Ulleksa [173]3 years ago
4 0

Answer:

ys

Step-by-step explanation:

3,4×5,6×7,8×5,9

2 Simplify  4\times 54×5  to  2020.

3,20,6\times 7,8\times 5,93,20,6×7,8×5,9

3 Simplify  6\times 76×7  to  4242.

3,20,42,8\times 5,93,20,42,8×5,9

4 Simplify  8\times 58×5  to  4040.

3,20,42,40,93,20,42,40,9

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Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal plac
Fed [463]

Answer:

\theta=k\pi, \hspace{3}k\in Z\\\\ or\\\theta =2\pi k \pm arccos(\frac{1 }{8} ), \hspace{3}k\in Z\\

Step-by-step explanation:

Factor constant terms:

-2(-4sin(2\theta)+sin(\theta))=0

Divide both sides by -2:

sin(\theta)-4sin(2 \theta)=0

Expand trigonometric functions using the fact:

sin(2 \theta) =2 sin(\theta) cos(\theta)

So:

sin(\theta) -8sin(\theta)cos(\theta)=0

Factor sin(x) and constant terms and multiply both sides by -1:

sin(\theta) (8cos(\theta)-1)=0

Split into two equations:

(1)=8cos(\theta)-1=0\\\\(2)=sin(\theta)=0

For (1)

Add 1 to both sides and divide both sides by 8:

cos(\theta)=\frac{1}{8}

Take the inverse cosine of both sides:

\theta =2\pi k \pm arccos(\frac{1 }{8} ), \hspace{3}k\in Z

For (2)

Simply take the inverse sine of both sides

\theta = k \pi, \hspace{3}k\in Z

Therefore, the solutions are given by:

\theta=k\pi, \hspace{3}k\in Z\\\\ or\\ \theta =2\pi k \pm arccos(\frac{1 }{8} ), \hspace{3}k\in Z\\

8 0
3 years ago
Retha Davidson works for a word processing center keying straight copy.
Nataliya [291]

Using proportions, it is found that:

  • In an 8-hour day, she keys 48 pages.
  • For a day, her gross earnings are of $72.
  • For a week, her gross earnings are of 72 x 7 = $504.

<h3>Proportions:</h3>

This question is solved using the proportions given, which are:

  • Payment of $1.50 per page of 30 lines.
  • Retha keys 6 pages per hour.

Hence, in an 8-hour day, she keys 6 x 8 = 48 pages.

Since she earns $1.50 per page, for a day, her gross earnings are of 48 x 1.5 = $72.

Considering a week has 7 days, for a week, her gross earnings are of 72 x 7 = $504.

To learn more about proportions, you can take a look at brainly.com/question/24372153

5 0
2 years ago
Simplify the expressions.1 a. –2 t + 5 t – 2 – t
masha68 [24]

Answer:

1 a.) 2t – 2

1 b.) –9z + 4

2 a.) –2v + 3

2 b.) –13k – 9

3 a.) 7w  − 2

3 b.) 10s

4 a.) 5

4 b.) –3p + 11

5 a.) –29x + 9

b.) 15v – 60x – 2

a.) 25n + 2

b.) –15n

a.) –71x + 4

b.) –15b

Step-by-step explanation:

  • <em>NOTE: I am kind of confused about the way this question is formatted, so I tried to answer everything I could decipher.</em>

1 a.) –2t + 5t – 2 – t →  2t – 2

1 b.) –5z + 4 – 4z →  –9z + 4

2 a.) 8v + 3 – 10v →  –2v + 3

2 b.) –6 – 6k – 3 – 7k →  –13k – 9

3 a.) –6 – 3w + 4 + 10w →  7w  − 2

3 b.) 9s + s →  10s

4 a.) 6 + 8b – 1 – 8b →  5

4 b.) 1p + 6 + 5 – 4p →  –3p + 11

5 a.) 4x – 3x + 9 – 6x 5 →  –29x + 9

b.) 9v + 6v – 2 – 10x 6 →  15v – 60x – 2

a.) n + 2 – (–4)n 6 →  25n + 2

b.) 6n – 3n 7 →  –15n

a.) –4x – 4x + 4 – 9x 7 →  –71x + 4

b.) –9b + (–6)b →  –15b

7 0
3 years ago
Marie's journal is 400 pages long. She has used 20% of the journal. How many pages has she used so far?
vitfil [10]

Answer:

40/ or /80

Step-by-step explanation:

Because 400 is a lot and if it's 100% is 400 right so we do 80% what would that be? we don't know right.

What about 100 pages that would be (im pretty sure) 40% or 50%.

I hope this helped!!!

GOODLUCK!!!!!!!!!!

:D

:3

<3

5 0
3 years ago
Read 2 more answers
What function equation is represented by the graph?
Ahat [919]

In the given graph, lets mark two points:

Let A = (0,-3) and B = (4,-2)

The slope of the line is given by:

m = \frac{(-2)-(-3)}{(4)-(0)}

m = \frac{-2+3}{4}

m = \frac{1}{4}

The equation of the line is given by:

(y-y_1)=m(x-x_1)

(y-(-3))=(\frac{1}{4})(x-0)

4(y+3)=x

4y+12=x

4y=x-12

y= \frac{1}{4}x-3

Therefore, the function equation represented by the graph is: f(x)= \frac{1}{4}x-3

5 0
3 years ago
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