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Ostrovityanka [42]
3 years ago
9

Determine the period of the following graph:

Mathematics
1 answer:
Anastaziya [24]3 years ago
7 0

9514 1404 393

Answer:

  2π

Step-by-step explanation:

The first peak is shown at x=π/2. The next peak is shown at x=5π/2. The difference in x-values between repeating parts of the graph is ...

  5π/2 -π/2 = 4π/2 = 2π

The period of the function shown is 2π.

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If there is 54% increase on a $54 item, then how much is the new cost for next year? Round to the nearest penny.
Mariulka [41]

Answer: $83.16

Step-by-step explanation:

     This means that next year the item will cost 154% of what it is now.

154% / 100 = 1.54

$54 * 1.54 = $83.16

                    Next year the item will cost $83.16.

5 0
2 years ago
A 16-foot ludder is leaning against the side of a building. The bottom of the Istider is 5 feet from the
11Alexandr11 [23.1K]

Answer:

\sqrt{231}

Step-by-step explanation:

a^2+b^2=c^2

5^2+b^2=16^2

25+b^2=256

b^2=231

b=\sqrt{231}

6 0
3 years ago
Which equation represents the line that passes through the point (-2,5) and has a slope of - 3
OleMash [197]

Answer: Answer:

A. is your answer

When using the Slope Method, your answer is y - 5 = 4(x - 2).

Feel free to give brainliest.

Have a great day everyone!

7 0
2 years ago
Read 2 more answers
Please find the exact value of each trigonometric function
Lerok [7]
Mmm i don’t know sorry ok
7 0
3 years ago
Can someone please explain?
AlladinOne [14]
<h2>Hello!</h2>

The answer is:

The correct option is the first option:  

y=-4x+64

<h2>Why?</h2>

To write the equation of the line in slope-interception  form we need to extract all the information that we need from the graphic.

We must remember that the slope-interception form of the lines is:

y=mx+b

Where,

y, is the function

m, is the slope of the line

x, is the variable

b, is the y-axis intercept

We can find the slope using the following formula:

m=\frac{ChangeInY}{ChangeInX}

Which is for this case:

m=\frac{64}{16}=4

As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:

m=-4

We can find the value of "b" seeing where the line intercepts the y-axis.

As we can see it intercept the y-axis at:  y=64

Then, now that we already know the value of "m" and "b", we can write the equation of the line:

y=mx+b=-4x+64\\y=-4x+64

So, the correct option is the first option:

y=-4x+64

Have a nice day!

4 0
3 years ago
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