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antiseptic1488 [7]
3 years ago
13

Can y'all help me with all of them plz

Mathematics
1 answer:
Elena-2011 [213]3 years ago
6 0
10. 150
11. 1250
12. 105
13. 158000
15. B

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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
$280 is what percent of $3500?
professor190 [17]

Divide then multiply by 100:

280 / 3500 = 0.08

0.08 x 100 = 8%

Answer: 8%

6 0
2 years ago
Read 2 more answers
A stack of 9 different cards are shuffled and spread out face down. If 4 cards are tired face up, how many different 4-card comb
Juliette [100K]

Answer:

126.

Step-by-step explanation:

This is the number of combinations of 4 cards  from 9 cards:

= 9C4

= 9! / 4! 5!.

A quick way of calculating this is  

9*8*7*6

----------- =   9*2*7   =    126 combinations.

4*3*2*1

7 0
3 years ago
What is 2.20 rounded to the nearest tenth?
Musya8 [376]
2.20 rounded to the nearest tenth is 2.2 it is already rounded if it was 2.29 it would be 2.3 
7 0
3 years ago
Which phrases can be used to represent the inequality 12-3x≥9? Check all that apply. (multi choice)
balandron [24]

Answer:

Which phrases can be used to represent the inequality 12-3x≥9? Check all that apply. (multi choice)

<u> A Twelve less than three times a number is greater than or equal to nine. </u>

B Twelve less than three times a number is at least nine.

C Twelve less three times a number is at least nine.

D Twelve minus the product of three and a number is no more than nine.

E Twelve less three times a number is at most nine.

F Twelve minus the product of three and a number is no smaller than nine.

G Twelve minus the product of three and a number is larger than nine.

Step-by-step explanation:

12 - 3x>=9

8 0
3 years ago
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