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Nostrana [21]
3 years ago
11

Use the graph of the sine function y = 2 sin θ shown below.

Mathematics
1 answer:
Ksju [112]3 years ago
7 0
Based on the given graph above, here are the answers for the following questions:
A. Based on the graph, there is only 1 cycle in it. It started at y=0 and ends in its starting point again which is still y=0. 
B. This cycle is 2 units long so this means that the period of the graph is 2pi units long.
C. The amplitude is defined as the distance from the center to the peak of the valley in the graph. So basing on it, the amplitude would be 2.
Hope these answers help.
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A bricklayers union charges monthly dues of $3 plus $.18 for each hour worked during
Radda [10]

Answer:

160 hours

Step-by-step explanation:

y=3+.18(hours)

31.80=3+.18(hours)

28.8=.18(hours)

160=hours

7 0
3 years ago
Select the correct answer. Consider these three numbers written in scientific notation: 6. 5 × 103, 5. 5 × 105, and 1. 1 × 103.
Karo-lina-s [1.5K]

Scientific notation uses expression which gives easy access of order. The greatest number is 5.5 \times 10^5 .It is greater by smallest number by 500  times.

<h3>How to convert a number to scientific notation?</h3>

It is usually of the form a.bc.. \times 10^kexponent of 10 starts)

(we have 1 ≤ |a| < 10 ) (where |a| is magnitude of a without sign)

This notation is used to get some idea of how large or small a number is in terms of power of 10.

<h3>What are some basic properties of exponentiation?</h3>

If we have a^bbase and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\ a^b \times a^c = a^{b+c}

The given numbers are:

  • First number = 6.5 \times 10^3 = 6500
  • Second number = 5.5 \times 10^5 = 550000
  • Third number = 1.1 \times 10^3 = 1100

The smallest number is 1,100 and greatest is 550,000

Getting the division to get to know how many times the greatest number is larger than the smallest number, we get:

\dfrac{5.5 \times  10^5}{1.1 \times 10^3} = \dfrac{5.5 \times 10^{5-3}}{1.1} = \dfrac{5.5}{1.1} \times 10^2 = 5 \times 10^2 = 500

Thus, it is found that greatest number is 5.5 \times 10^5 . It is greater by smallest number by 500  times.

Learn more about scientific notation here:
brainly.com/question/3112062

6 0
3 years ago
Again I’m confused.. show all work step by step so I understand?
goblinko [34]

Answer:

\frac{6}{x}  =  \frac{4}{8}

Multiple across equal sign (Denominator x Nominator and vise versa)

4x = 6 \times 8

4x = 48

x = 48 \div 4

x = 12

7 0
3 years ago
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1/3x+y=4 solve the equation for y
faust18 [17]

Y= -1/3x + 4

This would make the equation in slope intercept form

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3 years ago
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Triangle HIJ is similar to triangle LMN. Side LM measures x + 1, side MN measures 2x and side NL measures 3x – 1. Side HI measur
rusak2 [61]

12/(x+1) = 26.4/(3x-1)

36x -12 = 26.4x + 12

9.6x = 38.4

x = 4

4 0
3 years ago
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