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4 years ago

Read the statement shown below.

Mathematics

1 answer:

wolverine [178]4 years ago

8 0

If two lines do intersect, then the two lines are perpendicular

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What is the period of the function f(x)=sin(x/3) ?

vitfil [10]

<h3>Answer: 6pi radians</h3>

(this is equivalent to 1080 degrees)

======================================

Explanation:

f(x) = sin(x/3)

is the same as

f(x) = 1*sin( (1/3)(x-0) )+0

and that is in the form

f(x) = A*sin( B(x-C) )+D

The letters A,B,C,D are explained below

A = helps find the amplitude

B = 2pi/T, where T is the period

C = determines phase shift (aka left/right shifting)

D = determines vertical shift = midline

All we care about is the value of B as that is the only thing that is connected to the period T

--------

Compare f(x) = 1*sin( (1/3)(x-0) )+0 with f(x) = A*sin( B(x-C) )+D and we see that B = 1/3, so,

B = 2pi/T

1/3 = 2pi/T

1*T = 3*2pi ... cross multiply

T = 6pi

The period is 6pi radians. This is equivalent to 1080 degrees. To convert from radians to degrees, you multiply by (180/pi).

6 0

3 years ago

Suppose you are constructing a scale model solar system using a scale ratio of 1 to 10 billion. In your scale model what will be

Shkiper50 [21]

Answer:

Step-by-step explanation:

First convert km to meters

143000 km = 143,000,000m = 1.43*10^8 m

Now convert 10 billion to scientific notation1 00

10 billion = 1 * 10^10

What this means is that 1 * 10^10 meters in outer space = 1 meter for the scale model.

Now show what the ratio is for

1.43*10^8

======== Divide by the denominator

1 * 10^10

1.43 * 10^(8 - 10)

1.43 * 10 ^ - 2 meters

Answer: 0.0143m or B

6 0

3 years ago

The sutton police department must write, on average, 6 tickets a day to keep department revenues at budgeted levels. suppose the

lakkis [162]

The Poisson distribution defines the probability of k discrete and independent events occurring in a given time interval.
If λ = the average number of event occurring within the given interval, then
$P(k \, events) = e^{-\lambda } ( \frac{\lambda ^{k}}{k!} )$

For the given problem,
λ = 6.5, average number of tickets per day.
k = 6, the required number of tickets per day
The Poisson distribution is
$P(k \, tickets/day)=e^{-6.5} ( \frac{6.5 ^{k}}{k!} )$
The distribution is graphed as shown below.

Answer:
The mean is λ = 6.5 tickets per day, and it represents the expected number of tickets written per day.
The required value of k = 6 is less than the expected value, therefore the department's revenue target is met on an average basis.

8 0

3 years ago

How do you do this problem? 3x+1=10

Vlad1618 [11]

This should help 10-1=9 9÷3=3 x=3

5 0

3 years ago

Read 2 more answers

The variable in a relation who’s value depends on the value of the independent variable is called what?

Viefleur [7K]

That is called the dependent variable. It depends upon the value of the independent variable.

f(x)=y

So we can see by inspection that the dependent variable y value depends upon the input value of the independent variable x

Any questions please feel free to ask. Thanks

3 0

3 years ago