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Ivan
3 years ago
8

The table below shows the numbers of tickets sold at a carnival and the amounts of money in dollars collected Cost of Carnival T

ickets
Number of Tickets. Amount $ Collected.
5 $15
10. $30
15. $45
20. $60
25. $75
Which equation represents the relationship
A y = x + 10
B y = 5x
C y = x + 15
D y = 3x​
Mathematics
1 answer:
oee [108]3 years ago
3 0

Answer:

D. y=3x

Explanation:

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An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places w
Rina8888 [55]

Answer:

a) The general solution   θ = nπ±π/6

The all solutions are  - π/6 ,π/6 ,5π/6 ,7π/6 ,11π/6 ,13π/6 ...…

b)   The solutions in the interval [ 0,2π)

                            θ =  - π/6 ,π/6 , 5π/6 , 7π/6 , 11π/6

Step-by-step explanation:

<u><em>Step( i)</em></u>:-

Given an equation 2 cos (2θ)-1 =0

                               2 cos (2θ) = 1

                                cos(2θ) = 1/2

                                cos(2θ) = cos (π/3)

<em>Step(ii):-</em>

<em>a) </em>

The general solution of  cos θ = cos ∝ is given by

                                              θ = 2nπ±∝

The general solution of  cos(2θ) = cos (π/3) is

                                               2θ = 2nπ±π/3

                                                θ = nπ±π/6

Put n=0          θ =  ±π/6

Put n =1          θ = π±π/6

                       θ = π-π/6 = 5π/6

                        θ = π+π/6 = 7π/6

put n =2

                        θ = 2π±π/6  

                         θ = 2π-π/6 = 11π/6

                        θ = 2π+π/6 = 13π/6

   

The all solutions are  - π/6 ,π/6 ,5π/6 ,7π/6 ,11π/6 ,13π/6 ...…

b)

        The solutions in the interval [ 0,2π)

                            θ =  - π/6 ,π/6 , 5π/6 , 7π/6 , 11π/6

<u><em>Final answer</em></u>:-

a)

The all solutions are  - π/6 ,π/6 ,5π/6 ,7π/6 ,11π/6 ,13π/6 ...…

b)

The solutions in the interval [ 0,2π)

                            θ =  - π/6 ,π/6 , 5π/6 , 7π/6 , 11π/6

             

                                               

                                         

8 0
4 years ago
Help me pls ☹️☹️☹️☹️​
zheka24 [161]

The slope of a line can be found by graph using rise over run (\frac{rise}{run}). Look at the image below to see what this mean.

Rise = vertical

run = horizontal

I took two clear points on the line as seen below and drew a right angle that formed a right triangle with the line.

Now let's count how many units the rise is (look at the second image). This is 3 units

rise = 3

Count the units of the run (third image). This is 1 unit

run = 1

Let's put these two numbers together in the \frac{rise}{run} form:

\frac{3}{1} or simplified = 3

However, this is not the final answer. This is a negative slope, meaning that when you look at the line from left to right (like when you are reading words) the line reaches from the top left corner to the bottom right corner. A positive slope (reading left to right) reaches from the bottom left corner to top right corner.

To signify that the slope is negative you simply add a negative sign to it:

-3

Let me know if you have any further questions.

4 0
3 years ago
The volume of a sphere is 3,000π m3. What is the surface area of the sphere to the nearest square meter?
kolezko [41]
First, solve for the radius of the sphere using the volume and the equation,
                                  V = 4πr³ / 3
Substituting for the known values,
                       3000π m³ = 4πr³/3
The value of r from the equation is approximately 13.10 meters. The equation for the surface area is,
                             SA = 4πr²
Substituting the value of radius,
                             SA = 4π(13.10 m)² = 2157.74 m²
Therefore, the surface area is approximately 2157.74 m².
8 0
3 years ago
guys this is my third time posting this question please show me how you solve it I REALLY NEED HEEELP
Galina-37 [17]
D....................
3 0
3 years ago
Six less than the product of 8 and Vidya’s age
bearhunter [10]

Answer:

(8*v) - 6  OR 8v-6

Step-by-step explanation:

Assuming that you need an expression for this, Vidya’s age and 8 would get multiplied before getting subtracted by 6.  

6 0
3 years ago
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