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astraxan [27]
2 years ago
5

Graph a sine function whose amplitude is 4, period is π , midline is y=−3, and y-intercept is (0, −3). The graph is not a reflec

tion of the parent function over the x-axis.
Use the sine tool to graph the function.

The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.

Mathematics
1 answer:
kupik [55]2 years ago
3 0

Answer:

y=4sin(2x) - 3

Step-by-step explanation:

Recall the form of a sinusoidal function is Asin(Bx + C) + D, where A is the amplitude, B is the frequency (could also be viewed as the period), C is the horizontal (phase) shift, and D is the vertical shift. Also, recall sin(x) has a period of 2π.

You start with the parent function (sin(x)).

Then, knowing the amplitude is 4: 4sin(Bx + C) + D

Then, knowing the period of the regular sine function is 2π, to get to a period of π, divide by 2 (the period of the curve changes by a factor of 1/2), so your B coefficient is 2: 4sin(2x + C) + D

There is no phase shift, so omit C: 4sin(2x) + D

Since the midline is y = -3, that is your vertical shift (D): 4sin(2x) - 3

Graph of y = 4sin(2x) - 3 is below:

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Lindsay opened a lemonade stand on her street. It costs her $15.00 to buy the supplies each day, and she sells lemonade for $2.0
faust18 [17]

Answer:

83

Step-by-step explanation:

2x83=166-15

6 0
2 years ago
Seth invested a certain amount of money and got back an amount of $ 8400. If
kupik [55]

Answer:

$7700

Step-by-step explanation:

amount invested + interest = total

amount invested + 700 = 8400

Subtract 700 from both sides.

amount invested = 7700

Answer: $7700

5 0
2 years ago
Factor the following :
Otrada [13]

Answer:

(x - 3)(x² + 4)

Step-by-step explanation:

x³ - 3x² + 4x - 12 ( factor first/second and third/fourth terms )

= x²(x - 3) + 4(x - 3) ← factor out (x - 3 from each term

= (x - 3)(x² + 4)

8 0
2 years ago
Area of this rectangular pyramid please
dalvyx [7]
The rectangular prism has an area of 1188.
4 0
3 years ago
At a cell phone assembly plant, 77% of the cell phone keypads pass inspection. A random sample of 111 keypads is analyzed. Find
Serggg [28]

Answer:

The probability that the proportion of passed keypads is between 0.72 and 0.80 is 0.6677.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

 \mu_{\hat p}=p

The standard deviation of this sampling distribution of sample proportion is:

\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}

Let <em>p</em> = the proportion of keypads that pass inspection at a cell phone assembly plant.

The probability that a randomly selected cell phone keypad passes the inspection is, <em>p</em> = 0.77.

A random sample of <em>n</em> = 111 keypads is analyzed.

Then the sampling distribution of \hat p is:

\hat p\sim N(p,\ \sqrt{\frac{p(1-p)}{n}})\\\Rightarrow \hat p\sim N (0.77, 0.04)

Compute the probability that the proportion of passed keypads is between 0.72 and 0.80 as follows:

P(0.72

                             =P(-1.25

Thus, the probability that the proportion of passed keypads is between 0.72 and 0.80 is 0.6677.

8 0
3 years ago
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