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Step2247 [10]
3 years ago
15

If the function y = sinx is transformed to y = 3 sine (two-thirds x), how do the amplitude and period change?

Mathematics
2 answers:
icang [17]3 years ago
7 0

Answer:

Amplitude increases and the period decreases

Step-by-step explanation:

Here, we are to compare amplitude change and period change

The first equation is;

y = sin x

The second is

y = 3 sine (2/3)x

Generally, the equation of a sine graph can be written as;

y = a sin (bx + c)

where a represents the amplitude and b refers to the period

In the first equation , a = 1 while in the second , a = 3 ; This shows an amplitude increase

In the first equation, b = 1 while in the second equation b = 2/3; this shows a period decrease

damaskus [11]3 years ago
7 0

Answer:

Amplitude increases, and the period increases

Step-by-step explanation:

edge 2020

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Suppose you have two urns with poker chips in them. Urn I contains two red chips and four white chips. Urn II contains three red
Neporo4naja [7]

Answer:

Multiple answers

Step-by-step explanation:

The original urns have:

  1. Urn 1 = 2 red + 4 white = 6 chips
  2. Urn 2 = 3 red + 1 white = 4 chips

We take one chip from the first urn, so we have:

The probability of take a red one is : \frac{1}{3} (2 red from 6 chips(2/6=1/2))

For a white one is: \frac{2}{3}(4 white from 6 chips(4/6=(2/3))

Then we put this chip into the second urn:

We have two possible cases:

  • First if the chip we got from the first urn was white. The urn 2 now has 3 red + 2 whites = 5 chips
  • Second if the chip we got from the first urn was red. The urn two now has 4 red + 1 white = 5 chips

If we select a chip from the urn two:

  • In the first case the probability of taking a white one is of:  \frac{2}{5} = 40%  ( 2 whites of 5 chips)
  • In the second case the probability of taking a white one is of:  \frac{1}{5} = 20%  ( 1 whites of 5 chips)

This problem is a dependent event because the final result depends of the first chip we got from the urn 1.

For the fist case we multiply :

\frac{4}{6} x \frac{2}{5} = \frac{4}{15} = 26.66%   ( \frac{4}{6} the probability of taking a white chip from the urn 1, \frac{2}{5}  the probability of taking a white chip from urn two)

For the second case we multiply:

\frac{1}{3} x \frac{1}{5} = \frac{1}{30} = .06%   ( \frac{1}{3} the probability of taking a red chip from the urn 1, \frac{1}{5}   the probability of taking a white chip from the urn two)

8 0
4 years ago
Helpp me answer this question and explain
Ganezh [65]
The answer is A, you can tell because if you multiply 4 by the numbers inside the parentheses you’ll get =12+24..hope that helped :)
4 0
3 years ago
What is the value of the expression 9 + (fraction 1 over 2)4 ⋅ 48?
lyudmila [28]

Answer -> (12) I'm very late haha but hopes this helps!

3 0
3 years ago
What is the greatest common factor of 9 21 60?
nordsb [41]
The greatest common factor (GCF) of 9, 21 and 60 is: 3

Factors of 9: 1, 3, 9
Factors of 21: 1, 3, 7
Factors of 60: 1, 2, 3, 4, 5, 6

The common factors between the three numbers are 1 and 3, but since 3 is the highest number, it is considered the GCF.
8 0
3 years ago
Please help me solve this! 20 points.
ohaa [14]

Answer:

Step-by-step explanation: 8*2x, 8*-14+13=4x-27

16x-112+13=4x-27

16x-99=4x-27

-4x        -4x

12x-99=-27

     +99   +99

12x = 72

/12     /12

x=6

8 0
3 years ago
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