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insens350 [35]
3 years ago
8

Steve watched television for three over four hours are Monday and 5/6 hour on Tuesday how many longer did he watch television on

Tuesday that on Monday
Mathematics
1 answer:
Delicious77 [7]3 years ago
5 0

Answer:

1/12 hour

Step-by-step explanation:

Subtract 3/4 hr from 5/6 hr:  use the LCD 12:

Subtract 9/12 from 10/12 hr:  The difference is 1/12 hr.

Steve watched TV 1/12 hour longer on Tuesday than on Monday.  That's 5 minutes.

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A sine function had an amplitude of 3, period of 6pi, horizontal shift of 3pi/2, & vertical shift of -1.
Simora [160]

Answer: \bold{y=\dfrac{1}{2}}

<u>Step-by-step explanation:</u>

f(x) = A sin (Bx - C) + D

  • amplitude = |A|
  • period =\dfrac{2\pi}{B}
  • phase shift =\dfrac{C}{B}
  • vertical shift = D

<u>A</u>

amplitude of 3 is given so  3 = |A| → A = ± 3, since it is stated that this is a positive function, then A = 3

<u>B</u>

period of 6π is given so 6\pi=\dfrac{2\pi}{B}\quad \rightarrow \quad B=\dfrac{2\pi}{6\pi}\quad \rightarrow \quad B=\dfrac{1}{3}

<u>C</u>

\text{phase shift is given as}\ \dfrac{3\pi}{2}\ \text{so}\ \dfrac{3\pi}{2}=\dfrac{C}{\frac{1}{3}}\quad \rightarrow\quad \dfrac{(\frac{1}{3})3\pi}{2}=C\quad \rightarrow\quad \dfrac{\pi}{2}=C

<u>D</u>

vertical shift of -1 is given so -1 = D


Now, substitute the values of A, B, C, and D into the formula (above):

f(x) = 3\ sin \bigg(\dfrac{1}{3}x - \dfrac{\pi}{2}\bigg) - 1


Next, solve when x = 2π

f(2\pi) = 3\ sin \bigg(\dfrac{1}{3}(2\pi) - \dfrac{\pi}{2}\bigg) - 1

        = 3\ sin \bigg(\dfrac{2\pi}{3} - \dfrac{\pi}{2}\bigg) - 1

        = 3\ sin \bigg(\dfrac{4\pi}{6} - \dfrac{3\pi}{6}\bigg) - 1

        = 3\ sin \bigg(\dfrac{\pi}{6}\bigg) - 1

        = 3\ \bigg(\dfrac{1}{2}\bigg) - 1

        =\dfrac{3}{2}-\dfrac{2}{2}

        =\dfrac{1}{2}

6 0
3 years ago
Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line −2x+3y=6 ? Drag and drop each choice int
Fantom [35]

Answer:

2x+3y=6

Is parallel to the given line

...........................

8 0
3 years ago
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Question 1
Arada [10]
The answer is n+7 and 7+n
5 0
3 years ago
Brainliest to the answer. please help !
11111nata11111 [884]
The answer is C because when you rotate 90 degrees clockwise (x,y) becomes (y,-x)
6 0
3 years ago
Wait before you try to answer this i need to put the line on here What is the slope of this line?
PilotLPTM [1.2K]

well, to get the slope of any line, we only need two points, hmmm let's see, from the points there, we can use say, (-4, 5) and (0, 6).


\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{5})\qquad(\stackrel{x_2}{0}~,~\stackrel{y_2}{6})\\\\\\slope = m\implies\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-5}{0-(-4)}\implies \cfrac{6-5}{0+4}\implies \cfrac{1}{4}

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3 years ago
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