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EastWind [94]
3 years ago
10

I really need this answer as soon as possible please anyone

Mathematics
2 answers:
irina [24]3 years ago
6 0

Answer:

the answer is 55

Step-by-step explanation:

Contact [7]3 years ago
5 0
The answer is 55!!!!
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13. Write an equation for the given function given the amplitude, period, phase shift, and vertical shift.
Paul [167]

Answer:

y=4sin(\frac{2\pi(t+\frac{4}{3}\pi ) }{4\pi } )-2

Step-by-step explanation:

Let's start with the original function.

y=a sin\frac{2\pi t}{T}

We can immediately fill in the amplitude 'a' and period 'T' , as the question defines these for us, and provides values for 'a' and 'T', 4 and 4\pi respectively.

y=4sin(\frac{2\pi t}{4\pi } )

Now we only have phase shift and vertical shift to do. Vertical shift is very easy, you can just add it to the end of the right side of the expression. A positive value will shift the graph up, while a negative value will move shift the graph down. We have '-2' as our value for vertical shift, so we can add that on as so:

y=4sin(\frac{2\pit }{4\pi } )-2

Now phase shift the most complicated of the transformations. Basically, it is just movement left or right. A negative phase shift moves the graph right, a positive phase shift moves the graph left (I know, confusing!). Phase shift applies directly to the x variable, or in this case the t variable. To achieve a -4/3 pi phase shift, we need to input +4/3 pi into the function, because of the aforementioned negative positive rule. Here is what the function looks like with the correct phase shift:

y=4sin(\frac{2\pi(t+\frac{4}{3}\pi ) }{4\pi } )-2

This function has vertical shift -2, phase shift -4/3 \pi, amplitude 4, and period 4\pi.

Desmos.com/calculator is a great tool for learning about how various parts of an equation affect the graph of the function, If you want you can input each step of this problem into desmos and watch the graph change to match the criteria.

8 0
3 years ago
Which equation is equivalent to 2/3x-5/6=-5/12x+1/4
umka21 [38]

Answer:

x = 1

Step-by-step explanation:

\frac{2}{3} x -  \frac{5}{6}  =  -  \frac{5}{12} x +  \frac{1}{4}  \\  \frac{2}{3}x +  \frac{5}{12}  x =  \frac{1}{4}  +  \frac{5}{6}  \\  \frac{8}{12} x +  \frac{5}{12}x =  \frac{3}{12}  +  \frac{10}{12}  \\  \frac{13}{12} x =  \frac{13}{12}  \\ x = 1

6 0
3 years ago
Read 2 more answers
The perimeter of a 5-sided figure is 45.56 meters. Two of the sides have the same length. The sum of the other three side length
balandron [24]
10.68 each for the 2 same length sides. The total of the 5 sides is 45.56 less the 3 sides which total 24.2 leaves 21.36 remaining for the 2 equal length sides. So divide 21.36 by 2 = 10.68
(45.56 - 24.2)/2 = 10.68
4 0
3 years ago
Read 2 more answers
Sean said that the slope of the line is 3. is he correct?​
krok68 [10]

Answer:

yes

Step-by-step explanation:

5 0
3 years ago
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60000/23/35767755x100000 whats the answer?
AlekseyPX

This would be a great question to just plug into a calculator. I'm sure you will find the answer quite easily if you use a calculator.

6 0
3 years ago
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