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-Dominant- [34]
3 years ago
6

Write a cosine function that has an amplitude of 3, a midline of 2 and a period

Mathematics
1 answer:
marissa [1.9K]3 years ago
6 0

Answer:

f(x) = 3 cos  (2Pi / period value ; x  )+ 2

or see answer using 2 as the period see answer in bold below.

Step-by-step explanation:

cosine function amplitude of 3 is  A = 3

The period is used to find B

You need to show period value as the denominator and work out from there with 2PI as a function numerator to show as 2pi / period can be a data angle

C is the adding value.

Acos (Bx) + C

A = 3

Bx =  2 pi / period

C = + 2

However f 2 is also the period found

then we just plug in 2 to above formula

f(x) = 3 cos  (2Pi / 2 ; x  )+ 2

f(x) = 3cos (x pi) + 2

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Which equation represents a line which is parallel to the line 2x+y=-82x+y=−8?
geniusboy [140]

Answer:

x=7 is the line parallel to the given line x=8 . Parallel lines are the lines which are always same distance apart and never intersect. The given line is x=8 with intersects the x axis at x=8 and it is parallel to y axis with slope infinite or not defined.

Step-by-step explanation:

6 0
3 years ago
Amy reached into a bag, recorded the color of the tile she picked, returned the tile and drew again. These are the tiles she has
Vedmedyk [2.9K]

Answer:

(a) P(next ball with blue) =  \frac{3}{10}       (b)  P(Not to be red) = 1-\frac{2}{5} =\frac{3}{5}

(c)  P(drawing 70 times yellow ball) = \frac{1}{10} \times 70 = 7.

Step-by-step explanation:

Given that,

The total outcomes of the color of tile are :-

Red , Red, Blue, Yellow, Blue, Red, Green, Red, Blue, Green.

From the Question,

Total number of outcomes = 10

(a) What is the probability that her next draw will be blue ?

        Red = 4,

        Blue = 3,

        Green = 2,

        Yellow = 1.

   P(next ball with blue) =  \frac{3}{10}.

(b) What is the probability that her next draw will NOT be red?

    P(Red ball) =  \frac{4}{10} = \frac{2}{5}

But we have to find

   P(Not to be red) = 1-\frac{2}{5} =\frac{3}{5}

(c) If Amy draws 70 more times with the same tiles from the question above, what probability would you expect a yellow?

  P(Yellow ball) =  \frac{1}{10}

drawing it 70 times we get the probability

   P(drawing 70 times yellow ball) = \frac{1}{10} \times 70 = 7.

5 0
3 years ago
25m/s to miles/h <br>Can anyone solve it?<br>With explanation if you can
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25 meters per second x 60 seconds = 1500 meters per minute

1500 meters per minute x 60 minutes per hour = 90,000 meters per hour

1 mile = 1609.34 meters

90000/1609.34 = 55.92 miles per hour

 round answer to either 55.9 or 56 mph depending on what you need.

6 0
3 years ago
How do you solve 3^(4x) = 3^(5-x)?
trasher [3.6K]
3^(4x) = 3^(5 - x)
4x = 5 - x
4x + x = 5
5x = 5
x = 5/5 = 1
x = 1
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3 years ago
You start driving north for 9 miles, turn right, and drive east for another 40 miles. At the end of driving, what is your straig
svp [43]

Answer:

41

Step-by-step explanation:

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