The amplitude of the function is 3/2 after comparing with the general equation option (C) is correct.
<h3>What is cos function?</h3>
It is defined as the function which is in the form of cosine waves in nature, and it has a domain of all real numbers and lies between the [a, a] where is a amplitude of the function.
We have a cos function:
y = 3/2 cos(3x) + 1
We know,
f(x) = acos(bx - c) + d
The above function represents the cos function where:
a = amplitude
b = is the period of the function
c = phase shift
d = vertical shift
On comparing we get:
a = 3/2
Thus, the amplitude of the function is 3/2 after comparing with the general equation option (C) is correct.
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Answer:
3.
..2330
Step-by-step explanation:
The price of the burritos and tacos, using the system of linear equations, is equal to $32 and $26, respectively.
It is given that for a recent company party, Carmen spent $58 on one plate of burritos and one plate of tacos. For a company meeting, she spent $90 on two plates of burritos and one plate of tacos. We need to find the cost of each dish.
Let the costs of burritos and tacos be represented by the variables "x" and "y", respectively. We can write two equations, as given below.
x + y = 58
2x + y = 90
We will substitute the value of "y" from the first equation into the second equation.
y = 58 - x
2x + y = 90
2x + 58 - x = 90
x = 90 - 58
x = 32
Hence, the price of the burritos is $32. Now, we will substitute this value into the first equation.
y = 58 - x
y = 58 - 32
y = 26
Hence, the price of the tacos is $26.
The complete question is given below.
Carmen often orders fiesta trays from her favorite Mexican restaurant for company events. For a recent company party, she spent $58 on 1 plate of burritos and 1 plate of tacos. For a company meeting, she spent $90 on 2 plates of burritos and 1 plate of tacos. How much does each type of dish cost?
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Same with me people these days lol but it wasn't a science question
The correct answer is 60⁰.
Step-by-step explanation:
- An angle whose measure is 60⁰ is rotated more than halfway around a circle.
- Since, we have to find the measure of angle.
- As we already know that the angle of rotation about a circle is 360° therefore we have to find more than halfway of this angle.
- Considering that an angle is rotated more than halfway around a circle be
- Multiplying with 360⁰
- Therefore, it can show as ×360⁰
- Which gives the result to be 60⁰
- Hence, when an angle is measured 60⁰, it is rotating more than halfway around a circle.
- A single rotation around a circle is equal to 360 degrees.
- The measurement of an angle shows the magnitude and direction of the rotation of the angle from its initial position to the final position.
- If the rotation is in a counterclockwise direction, it has an angle with positive measure. If the rotation is clockwise, it has an angle which gives negative measure.
