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tankabanditka [31]
3 years ago
11

What’s the amplitude,period,equation of axis, and range for y=3sin[2(x+90)]?

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
4 0

Answer:

  • amplitude: 3
  • period: π
  • axis: y = 0
  • range: [-3, +3]

Step-by-step explanation:

The amplitude is the multiplier of the sine function: 3.

The period is 2π divided by the coefficient of x: 2π/2 = π.

The equation of the axis is any added constant: y = 0.

The range is the axis value ± the amplitude value: from -3 to +3.

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A triangle has an area of 157.25 square centimeters and a base of 18.5 centimeters . What is the height?
CaHeK987 [17]

Answer:

h = 17

Step-by-step explanation:

Triangle Area Formula:

A=\frac{1}{2} bh\\\\157.25=\frac{1}{2}(18.5)h\\\\157.25=9.25h\\\\h=17

3 0
3 years ago
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The equation d=m/v can be used to calculate the density
frutty [35]

yes the equation can be used to measure density

8 0
3 years ago
If 12g of a radioactive substance are present initially and 8yr later only 6g remain, how much if the substance will be present
Brums [2.3K]

The weight of substance remaining after 13 years is 2.25 g.

Given:

Present weight of substance = 12 g

After 8 years weight remains = 6 gm

Now, weight loss in 8 year will be,

12-6=6 gm

So, weight loss in 1 year will be,

\dfrac{6}{8} =\dfrac{3}{4}

Total weight loss in 13 year will be,

\dfrac{3}{4}\times13=9.75

The weight of substance remaining after 13 years will be,

12- 9.75 = 2.25 \;\rm g

Therefore, the weight of substance remaining after 13 years is 2.25 g.

To know more about radioactive decay, refer to the link:

brainly.com/question/12116123

5 0
3 years ago
Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hu
olga nikolaevna [1]

Answer:

I hope that you are doing well, during this weird time; and that this message finds you in a good place.

To get you started on this problem, you will want to think about how to go about graphing this linear function. You want to keep in mind that you want to plot your dependent variable on the y-axis, as it changes with respect to your independent variable (plotted on the x-axis). In this problem, the cost of the water bill depends on the amount of water used, in HCF. So the graph should be plotted with cost on the y-axis, and HCF on the x-axis.

It follows that you are given the coordinates of (16, $48.37) and (22, y2); where y2 represents the cost when using 22 HCF. You are also given the slope of your line (m, in y = mx + b format). You may recall that you can set-up a slope as the change in y over the change in x, or the "rise over the run" [m = (y2-y1) / (x2-x1)]. We can set this problem up, using this equation to solve for y2 (the cost at 22 HCF) algebraically.

So we would set up the problem as 1.65 = (y2-48.37)/(22-16). We then solve by combining like-terms and using inverse operations as follows:  

  1.65 = (y2 - 48.37) / 6

  1.65(6) = y2 - 48.37

  9.9 = y2 - 48.37

  y2 = $58.27

Step-by-step explanation:

3 0
1 year ago
What is the fraction to this picture?
lara31 [8.8K]
The fraction is 2/6
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3 years ago
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