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Vesna [10]
3 years ago
6

150 pounds to 135 pounds

Mathematics
2 answers:
defon3 years ago
8 0

Answer:

15 pounds

Step-by-step explanation:

150-135

AnnyKZ [126]3 years ago
3 0

Answer:

15 pounds

Step-by-step explanation:

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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
2 years ago
Mat 540 week 6 homework
Aleks04 [339]
What is the question?
7 0
3 years ago
1. If a = -1 , the value of3a + 1 is ​
erastovalidia [21]

Answer:

f(a) = 3a + 1 \\ Now,\: a =  - 1 \\ f( - 1) = 3( - 1) + 1 \\ f( - 1) =  - 3 + 1 \\ \boxed{ f( - 1) =  - 2}

  • Therefore, <em><u>-2</u></em> is the right answer.
6 0
2 years ago
Nick wanted to determine the length of one blade of a windmill. He stood at a point on the ground 440 feet from the windmill's b
mafiozo [28]

Answer:There are two right triangles. You need to find the opposite side (the height) of each of them. The difference between the two is the height of the blade, x.

You know the adjacent, 440, and you are looking for the opposite, so you need to use tan for both.

tan (30) = y / 440

y = 440 * tan (30) = 254.034...

tan (38.8) = z / 440

y = 440 * tan (38.8) = 353.769.--

353.8 - 254.0 = 99.8 = 100 feet.

Step-by-step explanation:

7 0
1 year ago
Assume the value continues increasing at the
timama [110]
There’s no question or problem to this
5 0
3 years ago
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