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zvonat [6]
1 year ago
7

Does anyone know how to graph trigonometric functions for algebra 2?

Mathematics
1 answer:
anastassius [24]1 year ago
4 0

Solution:

Give the following below

\begin{gathered} amplitude=3 \\ period=\frac{\pi}{2} \\ midline,\text{ }y=-1 \\ Passing\text{ through the point }(0,2) \end{gathered}

To find the cosine function, we will apply the general formula for cosine function below

\begin{gathered} f(x)=a\cos(bx-c)+d \\ Where \\ a\text{ is the amplitude} \\ b\text{ represents the speed of the cycle} \\ d\text{ is the vertical shift} \\ \frac{c}{b}\text{ is the phase shift \lparen horizontal shift\rparen} \\ Period=\frac{2\pi}{b} \end{gathered}

To find the value of b

\begin{gathered} Period=\frac{\pi}{2} \\ \frac{2\pi}{b}=\frac{\pi}{2} \\ Crossmultiply \\ b\times\pi=2\times2\pi \\ b=\frac{4\pi}{\pi} \\ b=4 \end{gathered}\begin{gathered} a=3 \\ b=4 \\ d=-1 \\ c=0 \end{gathered}

Substitute the values of the variables into the general formula for cosine function

\begin{gathered} f(x)=a\cos(bx-c)+d \\ f(x)=3\cos(4x-0)-1 \\ f(x)=3\cos4x-1 \end{gathered}

Applying a graphing tool,

The graph of one cycle of the function is shown below

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Evaluate the factorial.<br> 11!
Dafna11 [192]

Answer:

The factorial of 11! is exactly 39916800

The number of trailing 0s in 11! is 2

The number of digits in 11 factorial is 8.

The factorial of 11 is calculated as below:

11! = 11 • 10 • 9 • 8 • 7 ... 3 • 2 • 1

Step-by-step explanation:

6 0
3 years ago
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Assume the readings on thermometers are normally distributed with a mean of 0 degrees C and a standard deviation of 1.00 degrees
lozanna [386]

Answer: 0.0035

Step-by-step explanation:

Given : The readings on thermometers are normally distributed with a mean of 0 degrees C and a standard deviation of 1.00 degrees C.

i.e.  \mu=0 and \sigma= 1  

Let x denotes the readings on thermometers.

Then, the probability that a randomly selected thermometer reads greater than 2.17 will be :_

P(X>2.7)=1-P(\xleq2.7)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{2.7-0}{1})\\\\=1-P(z\leq2.7)\ \ [\because\ z=\dfrac{x-\mu}{\sigma}]\\\\=1-0.9965\ \ [\text{By z-table}]\ \\\\=0.0035

Hence, the probability that a randomly selected thermometer reads greater than 2.17 = 0.0035

The required region is attached below .

8 0
3 years ago
Cheyanne plans to put $150 into a savings account. She can place her money into an account represented by f(x) = 5x+150, or into
stepan [7]
In order to calculate the amount, we simply substitute the number of years into x in both equations.
After 3 years:
f(3) = 5(3) + 150
= $165
g(3) = 150 * 1.03⁽³⁾
= $163.90
After 10 years:
f(10) = 5(10) + 150
= $200
g(10) = 150 * 1.03⁽¹⁰⁾
= $201.59
After three years, the first account has more money but after ten years, the second account has more money.
4 0
4 years ago
Is the number 5 prime, composite, or neither?
OlgaM077 [116]

Answer:

A number that is divisible only by itself and 1 

therefore 5 is a prime number

3 0
3 years ago
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3x +6= 27<br> x =<br> how do you solve this.
Serjik [45]
3x + 6 = 27

step 1. subtract 6 from both sides

3x = 21

step 2. divide both sides by three to get x alone

x = 7

hope this helps
8 0
4 years ago
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