sketch the graph of y =sine3x​

Answers

Answer 1

The graph of [tex]\mathbf{y=\sin{3x}}[/tex] is given by,

Here given the function is [tex]y=\sin{3x}[/tex]

when [tex]x=0\Rightarrow y=\sin{3\times 0}=\sin0=0[/tex], then it passes through the origin (0,0).

When [tex]x=\frac{\pi}{6}\Rightarrow y=\sin{3\times\frac{\pi}{6}}=\sin\frac{\pi}{2}=1[/tex]

Since we know that, [tex]-1\leq\sin{x}\leq1,\forall x[/tex], then the function has maximum height at [tex]x=\frac{\pi}{6}[/tex].

Again when [tex]x=\frac{\pi}{3}\Rightarrow y=\sin{(3\times\frac{\pi}{3})}=\sin\pi=0[/tex], again the function is 0.

So clearly the function is the Oscillating function with a maximum value of the function as 1 and a minimum value of the function as -1.

Range of the oscilaltion of the function = 1-(-1) = 1+1 = 2

Using graphing calculator we get the graph of function [tex]y=\sin3x[/tex],

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Sketch The Graph Of Y =sine3x

Related Questions

I need help with number 10 and I'm not sure if a or b is correct either.

Answers

Answer:

:)

Step-by-step explanation:

You don't need help. You got all the answers correct.  :))))) Nice!

The means and mean absolute deviations of the individual times of members on two 4 times 400 meter relay track teams are shown in the table below.

Means and Mean Absolute Deviations of
Individual Times of Members of 4 times 400 meter Relay Track Teams

Team A
Team B
Mean
59.32 s
59.1 s
Mean Absolute Deviation

1.5 s

2.4 s

What is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B?
0.09
0.15
0.25
0.65

Answers

The correct answer is option C which is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B will be 0.25.

What is mean?

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

The difference between the mean times is about 16 times the mean absolute deviation of the data set.

59.32 - 59.1 = 0.22

2.4 - 1.5 = 0.9

0.22 / 0.9 = 0.25

Therefore the correct answer is option C which is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B will be 0.25.

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13. Find the values of x and y in the diagram below.

א

9

13

7

y

3

10

17

Answers

Answer:

x = 2

y = 4

Step-by-step explanation:

Let's start with the 7 in the middle. Subtract the 1 on its upper left to get 6.

Add the 3 on its lower left to get 10.

so, 3 - x = 1. x = 2

17 - y = 13. y = 4

show how to simplify y-8 = 3/4x [x-(-6)]

Answers

To simplify the equation, we have y = [tex]\frac{3}{4x^2 + 24x} + 8[/tex]

How to simply the expression

Given the expression

y-8 = 3/4x [x-(-6)]

First, expand the bracket

[tex]y - 8[/tex]= [tex]\frac{3}{4x^2 + 24x}[/tex]

Make 'y' the subject of formula

y = [tex]\frac{3}{4x^2 + 24x} + 8[/tex]

Thus, to simplify the equation, we have y = [tex]\frac{3}{4x^2 + 24x} + 8[/tex]

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A rocket is launched in the air. The graph below shows the height of the rocket hh in meters after tt seconds.

help pls

Answers

Answer:

The answers are=

(38, 0)time in seconds(19, 1768.9)Heightin meters

The x-coordinate of the vertex is (38, 0) and the y-coordinate of the vertex is (19, 1768.9).

What is a parabola?

It is defined as the graph of a quadratic function that has something bowl-shaped.

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

It is given that:

The graph of the parabolic path is shown in the picture.

From the graph:

The x-coordinate of the vertex is (38, 0)

The x-coordinate represents time in seconds

The y-coordinate of the vertex is (19, 1768.9)

The y-coordinate represents the height in meters

Thus, the x-coordinate of the vertex is (38, 0) and the y-coordinate of the vertex is (19, 1768.9).

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Find two functions defined
implicity by this equation:
(x − 5)² − 3(y + 2)² = 4

Answers

Answer:

[tex] \frac{dy}{dy} = \frac{x - 5}{3y + 6} [/tex]

The function g is related to one of the parent functions g(x) = |x − 1| + 5
a.) Identify the parent function f.
b.) Use function notation to write g in terms of f.

Answers

If the function f(x) is shifted right by one unit and upward by 5 units, then the function f(x) will be equal to the function g(x). Then the parent function is f(x) = |x|.

What is an absolute function?

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x – h | + k

The function g is related to one of the parent functions g(x) = |x − 1| + 5.

Then the parent function f(x) will be

f(x) = |x|

If the function f(x) is shifted right by one unit and upward by 5 units, then the function f(x) will be equal to the function g(x).

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On a coordinate plane, 2 cube root functions are shown. Function f (x) goes through (negative 3, negative 1.5), has an inflection point at (0, 0), and goes through (3, 1.5). Function g (x) is 2 units to the left of f (x) and has an inflection point at (negative 2, 0).
The graph of f(x) = RootIndex 3 StartRoot x EndRoot is shown with g(x). Which equation represents the graph of g(x)?

g(x) = RootIndex 3 StartRoot x minus 2 EndRoot
g(x) = RootIndex 3 StartRoot x + 2 EndRoot
g(x) = RootIndex 3 StartRoot x EndRoot + 1
g(x) = RootIndex 3 StartRoot x EndRoot–1

Answers

Using translation concepts, it is found that the equation that represents the graph of g(x) is:

[tex]g(x) = \sqrt[3]{x + 2}[/tex].

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, we have that g(x) is a shift left of 2 units of f(x), hence:

[tex]f(x) = \sqrt[3]{x}[/tex][tex]g(x) = f(x + 2) = \sqrt[3]{x + 2}[/tex]

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Answer:

The answer is B. On EDGE.2022

Step-by-step explanation:

Just did it

Find the radius of a circle with area 345 square centimetres


30 pts need in like 10 mins!!


Please say the answer like-


… divided by … = ……

Or


… times … = …..

Answers

Answer:

5.9

Step-by-step explanation:

It's because area is 345

Formula , A=πr2Find the √ of 34518.6=3.14×f2fR = 5.9

Answer: Radius = 10.48 cm

Step-by-Step Solution:

Radius (r) = ?
Area (A) = πr² = 345 sq. cm

Therefore,
πr² = 345
3.14 * r² = 345
r² = 345/3.14
r² = 109.87
r = √109.87
=> r = 10.48

Radius (r) = 10.48 cm

AABC=AADC, LACB=143, AC=33 LACD=?​

Answers

Answer:

I think the best answer is 143

Can someone please help me with this!!

Answers

Answer: -7

Step-by-step explanation:

[tex]f(-8)=-5\\\\g(4)=3\\\\\therefore -1 \cdot f(-8) -4\cdot g(4)=-1(-5)-4(3)=5-12=\boxed{-7}[/tex]

Model 3xfx Write the inverse of the rational function used to represent the situation in model 3, .
A biologist has tracked the population of Antarctic penguins in a marine reserve since 2012. He represents the population with the rational function f(x)=15x+50/x+5, where is the number of years that have passed since 2012 and () is the number of penguins.

Answers

Make f(x) = y
y = (15x + 50)/(x + 5)
Swap the x and y and make y the subject again
x = (15y + 50)/(y + 5)
x(y + 5) = 15y + 50
xy + 5x = 15y + 50
xy - 15y = 50 - 5x
y(x - 15) = 50 - 5x
y = (50 - 5x)/(x - 15)
So inverse function f^-1(x) = (50 - 5x)/(x - 15)

A Store-It-All storage facility requires users to enter a four digit code, using numbers 0-9, to get through the
gate. You need to get a box of winter clothes from your storage container, but you forgot the code.
1. How many possible codes are there if the digits cannot be repeated?
There are
possible codes.
2. What is the probability that you will guess the correct code on your first try?
P(correct code) =
3. If the digits can be repeated, how many possible codes are there?
There are
different codes.

Answers

Answer:

Step-by-step explanation: 1. 5040 because 10x9x8x7

3. 10000 because 10^4=1000

1)There are 5040 possible codes are there if the digits cannot be repeated.

2)The probability that you will guess the correct code on your first try will be (1/5040).

3) Possible code = 10000 .

Given,

Numbers : 0 to 9

Here,

Total number of digit = 0,1,2,3,4,5,6,7,8,9

Given condition;

a)

Four digit card must be drawn;

The total possible ways there if the digits cannot be repeated will be;

⇒10×9×8×7

⇒5040

b)

The probability that you will guess the correct code on your first try is;

P(A) = n(A)/n(S)

Where,

n(A) is the event has the right code

n(S) is the total possible ways;

P(A) =1/5040

Hence the total possible ways there if the digits cannot be repeated and the probability that you will guess the correct code on your first try will be 5040 and (1/5040) respectively.

c)

If the gits can be repeated then we have 10 digits for each place :

Possible code = 10 * 10 * 10 *10

Possible code = 10000

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If x=0,what is the value of (8x)^0​

Answers

[tex] {8x}^{0} \\( {8 \times 0})^{0} \\ {0}^{0} \\ it \: is \: undefined[/tex]

PLEASE GIVE BRAINLIEST

The hypotenuse of a 90-45-45 triangle is 20√2. What is the short leg and the long leg>

Answers

Answer:

Both legs would be 20

Step-by-step explanation:
In the image below, it shows the relationship between the legs and the hypotenuse in every 45 45 90 triangle. If we know that the hypotenuse is 20, then the 2 legs are both 20.

I am slightly confused with the problem since they asked for the "short" leg and the "long" leg. Both legs should be the same length because a 45 45 90 triangle is isosceles, with the two legs being the same length.


Here are the first five numbers in a sequence.
47 41
(a) Find the first negative number in the sequence.
35
29
23

Answers

Answer:

- 1

Step-by-step explanation:

note there is a common difference of 6 between consecutive terms , that is

23 - 29 = 29 - 35 = 35 - 41 = 41 - 47 = - 6

by subtracting 6 from the previous term we get

23 - 6 = 17

17 - 6 = 11

11 - 6 = 5

5 - 6 = - 1

the first negative number in the sequence is - 1

Pam asks you to help with the catering for the funeral. You decide to use juice concentrate to serve as a refreshing drink. To create this delicious drink, you must dilute the concentrate in the ratio 1:4. You have 2 litres of concentrate. What is the volume of water needed?​

Answers

Answer is 8 liters
Reason
1 to 4 is the same as 2 to 8
So 2 concentrate to 8 water

please help! due very soon!

Answers

Answer:

{x | x = -6, -1, 0, 3}

(first option listed)

Step-by-step explanation:

The domain of a function is all possible x-values for that function

So, we can see (from the x-value portion of our table) that the possible x-values are:

-6 , -1, 0, and 3

We write domain and range in lowest - highest number value order, so we write our domain as such:

{x | x = -6, -1, 0, 3}

{range is all possible y-values, and this would include -7 , 1, 9, and -2}

hope this helps!!

Please answer BOTH the questions xoxo <3

Answers

Answer:

First Image: Choice B

Second Image: Choice B

Step-by-step explanation:

The equation of the line is written in the slope-intercept form,

y = mx + b

where m represents the slope

            b represents the y-intercept

First Image:

In our equation, y = 0.1x + 1,

we see that the y-intercept of the line is 1 and the slope is 0.1

We can simple plug in the x values to test if the table is true:

x = -1

y = 0.1x + 1 → y = 0.1(-1) + 1 → y = -0.1 + 1 → y = 0.9

This proves choices A and C are INCORRECT

The next point is at x = 10

y = 0.1x + 1 → y = 0.1(10) + 1 → y = 1 + 1 → y = 2

Making choice D INCORRECT

Hence, you've selected the correct choice (B)!

Second Image:

In our equation, y = 3x + 2,

we see that the y-intercept of the line is 2 and the slope is 3

Choice A is INCORRECT due to (0,0) not logical as the y-intercept is 2

Choice B is CORRECT due to (1/3, 3) not logical as that 3 = 3(1/3) + 2

6 = 3(4/3) + 2 → 6 = 4 + 2.     → 6 = 6

3 = 3(1/3) + 2 → → 3 = 1 + 2.   → 3 = 3

20 = 3(6) + 2 → 20 = 18 + 2.  → 20 = 20

Choice C is INCORRECT due to (-6, 20) not logical as that 20 = 3(-6) + 2

Choice D is INCORRECT due to (10, 4) not logical as that 10 = 3(4) + 2

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Write 1 3/5 as an improper fraction?

Answers

1 3/5 as an improper fraction is 8/5
13/5 is an improper fraction is 8/5

What is an undefined term in geometry?
OA. A sentence that asserts a fact
OB. A term that has no formal definition, but is used to define other
terms
OC. A clause preceded by "if" in a conditional statement
OD. A statement in which the hypothesis and conclusion are switched

Answers

An undefined term in geometry is (b) A term that has no formal definition, but is used to define other terms

How to define the term?

In geometry, there are four undefined terms.

These terms are:

PointLinePlaneSet.

The above items do not have a specific or formal definition. However, they are used to define other terms in geometry

This is the reason they are referred to as undefined terms.

Hence, an undefined term in geometry is (b)

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Simplify completely!!!

Answers

Answer:

h^24

Step-by-step explanation:

hope that helpssndbfbsb

The person above me is correct H^24

Select "Yes" or "No" to indicate whether the ordered pair is on the graph of the function f(x)=−25^x+1.

Answers

Among all the three ordered pairs no one lies on the graph of the function  f(x)=[tex]-25^{x} +1[/tex].

Given The value of a  function f(x)=[tex]-25^{x} +1[/tex]

If we want to check whether it will lie on the graph of a function or not then we have to just put those points in the function ,if the function satisfies means they lie on that graph otherwise not.

Taking first ordered pair :(1,625)

value of x is 1 and  value of y is 625.

we have to put in the function so

625=-[tex]25^{1}+1[/tex]

625 is not equal to -24 so it does not satisfy.

Taking second ordered pair :(0,-25)

-25=-25 raise to power 0 +1

-25  is not equal to 1 so it does not satisfy.

Taking third ordered pair: (-1,-1)

-1=-1/25+1

-1 is not equal to 24/25 so it does not satisfy.

Hence among all the ordered pairs none will lie on line of the given function.

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What is the coefficient in this expression?
2/5
O
2/5
Op
05
02

Answers

Answer:

2/5 is the coefficient.

Coefficient generally refers to the numerical value in an expression.

And the expression here is 2/5.

So, 2/5 makes up the coefficient.

The answer is 0.4 that is correct

what are the intercepts of x^2 +8x+16​

Answers

Answers:

x intercept = -4

y intercept = 16

The graph is shown below.

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

Explanation:

To determine the x intercept(s), we set the expression equal to zero and solve for x. In other words, we plug in y = 0 and solve for x.

y = x^2 +8x+16​

0 = x^2 +8x+16​

x^2 +8x+16​ = 0

(x+4)^2 = 0

x+4 = 0

x = -4

There's only one x intercept. It's located at the vertex of the parabola.

The location of the x intercept is the point (-4,0)

------------

To find the y intercept, we plug in x = 0 and compute like so:

y = x^2 +8x+16​

y = (0)^2 +8(0)+16​

y = 16

The y intercept is 16 which is located at (0,16)

Check out the graph below. It was made using the free app Desmos.

Which graph represents y=12+2x

Answers

im pretty sure this is.

14. What is the measure of ZABC in the image shown? OE A B 10x - 10 100 - 2x 2x + 10 C 14. What is the measure of ZABC in the image shown ? OE A B 10x - 10 100 - 2x 2x + 10 C​

Answers

Answer: 110 degrees

Step-by-step explanation:

By the exterior angle theorem.

[tex]10x-10=100-2x+2x+10\\\\10x-10=110\\\\\therefore \angle ABC=110^{\circ}[/tex]

maximum value of P+4x+5y+21 given the following: y-x<1, 21x+7y<25, x>-2, y>-4

Answers

The maximum value of the objective function is 31.787

How to maximize the function?

The given parameters are:

Objective function:

Max P = 4x + 5y + 21

Subject to:

y- x < 1

21x + 7y < 25

x>-2,  y>-4

Rewrite the inequalities as equation

y - x = 1

21x + 7y =  25

Add x to both sides in y - x = 1

y = x + 1

Substitute y = x + 1 in 21x + 7y =  25

21x + 7x + 7 =  25

Evaluate the like terms

28x = 18

Divide both sides by 28

x = 0.643

Substitute x = 0.643 in y = x + 1

y = 0.643 + 1

y = 1.643

So, we have:

Max P = 4x + 5y + 21

This gives

P = 4 * 0.643 + 5* 1.643 + 21

Evaluate

P = 31.787

Hence, the maximum value of the objective function is 31.787

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A recipe that makes 18 chocolate chip cookies calls for 2.5 cups of flour. How many cookies can you make if you have 3.75 cups of flour (and enough of the other ingredients)?

Answers

Answer:

27

Step-by-step explanation:

3.75/2.5x18=27

Given: angle 2 and angle 4 are vertical. Prove angle 2 congruent to angle 4
Need help quick!

Answers

The diagram shows that ∠2 and ∠4 are the vertical angles.

What are vertical angles?

Vertical angles are the angles that are opposite of each other when two lines cross.

The statements are:

1. < 2 & < 4 are vert. angles

2. Lines M & N intersect at P

3. < 2 & < 3 are a linear pair

4. m < 2 + m < 3 = 180

5. <3 and < 4 are a linear pair

6. m < 3 + m <4 =180

7. m < 2 + m < 3 = m < 3 + m < 4

8. m < 2 = m < 4

9. < 2 =~ <4

Here are the reasons:

1. Given

2. Def of vertical angles.

3. Def of. Linear pair

4. Angle addition postulate

5. Def of a linear pair

6. Angle addition postulate

7. Substitution property

8. Subtraction property

9. Def of =~ angles.

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Answer: View the picture below!

Step-by-step explanation: Just did the assignment!

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