Function : y=4 sin(3x)-2Determine the period of the function. How is it related to the question?

Determine the midline of the function. How is it related to the question?

Domain(interval notation) Range(interval notation)
Max Min
Plot at least 2 cycles of the trigonometric graph correctly
Make sure you put arrows on the end of the graph
Make sure you accurately plot the zeros. list them below

_______________if this function even or odd? Explain how you know

Describe the transformations from y = sin (x)

Answers

Answer 1

Answer: So the 4 represents the amplitude of the function. We can also see that because it is a positive number, the graph is even. ⁽⁽The number before the graph type (Sin or Cos) always represents the amplitude. The amplitude is how many units the graph travels up and down from the midline.
The -2 is the midline. This means that the midline is at -2 on the Y-axis. To find the max and min, you then add the amplitude to find the maximum, and subtract to find the minimum. [-6. 2]
To find the period, you divide 2π by the term in front of x. In this case, it's 3, so we do 2π/3. This cannot be simplified further, but in degrees this equals 120°. This means that, with the question asking for 2 full cycles, that the graph will go through 2 full cycles in 240°

Hope this helps, sorry i couldn't sketch the graph for you

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At an amusement park, the probability that a child eats a hot dog and drinks a soda pop is 0.48. The probability that a child eats a hot dog is 0.59, and the probability that a child drinks soda pop is 0.88. What is the probability (rounded to the nearest hundredth) that a child drinks soda pop given that the child has already eaten a hot dog?0.55 0.81 0.28 0.42
Transversal t cuts parallel lines a and b as shown in the diagram. Which equation is necessarily true? a) m<1=m<2 b)m<4=m<6 c) m<3+m<5=90 degrees d)m<7=m<8
Solve for x. 5x - 6 = 4x + 8
Entre os alunos que frequentam o Ensino Profissional na escola do Carlos foi recolhida umaamostra de 50 aos quais se colocou a questão:«Qual das seguintes frases exprime melhor o teu gosto pelo estudo da Matemática?Gosto muito.Gosto de certos conteúdos.Gosto pouco.Não gosto nada.»O seguinte gráfico traduz as respostas obtidas à questão anterior.1.1. Indique a variável em estudo e a sua natureza.1.2. Calcule a percentagem de alunos que responderam «Gosto muito».1.3. Observe a seguinte tabela ainda referente à mesma questão.RapazesRaparigasGosto muito126Gosto de certos conteúdos87Gosto pouco66Não gosto nada23Escreva um pequeno texto no qual justifique que, neste estudo, os rapazes mostraram ter um maior gosto pelo estudo da Matemática

Tasha is planning an expansion of a square flower garden in a city park. If each side of the original garden is increased by 7 m, the new total area of the garden will be 169 m2. Find the length of each side of the original garden.

Answers

To find the original length you must take away the add-ons. To do so we know that they added 7 and A= l*l (or l squared). They added the 7 to the length so multiply 7*7 (49) subtract your answer from 169 (120) and that's your new area. To find the original length divide by 4 (I believe) and get 30m2

Answer:

Step-by-step explanation:

got it right on a quiz.

Question:In the equation P = 2x + 7, P represents the price, in dollars, of tickets to a concert x hours after they go on sale. When will the price exceed $20.00?

1. Describe in words how the equation can be used to solve the problem.

2. Draw a graphical representation of the price equation, and illustrate how a solution could be found that way.

Answers

Let

P-------> the price in dollars of tickets

x------> the number of hours

we know that

$P=2x+7$ -------> equation A

When will the price exceed $20.00?

Part 1) Describe in words how the equation can be used to solve the problem

Substitute the value of P equal to $\$20.00$ in the equation A and find the value of x

For $P=\$20.00$

substitute in equation A

$20=2x+7$

$2x=20-7$

$2x=13$

$x=6.5\ hours$

therefore

the answer Part 1) is

the price exceed $\$20.00$ when the time exceed $6.5\ hours$

Part 2) Draw a graphical representation of the price equation, and illustrate how a solution could be found that way.

using a graphing tool

Draw the equation of the lines

$P=2x+7$

$P=20$

the solution is the intersection both graphs

see the attached figure

the solution is the point $(6.5, 20)$

that means

for $x=6.5\ hours$

$P=\$20.00$

1. This equation can be used to help solve the problem by plugging in numbers for x. Whatever answer for x gives a price that is more than $20.00 is the answer for the number of tickets that have to be sold in order to exeed $20.00.

2. This equation has the same format as an equation in slope intercept form. This makes it easy to graph.The y intercept will be 7 and the slope is 2. Using this information, it is easy to graph the equation and find a solution. The graph should look like the image I attached to this answer.

A rectangle’s area and perimeter have the same numerical value. The length of the rectangle is 12 units. What is the width of the rectangle?

Answers

We can conclude that the length of the rectangle is 12 Units. The value of the width of a rectangle is 2.4 units.

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

We have been given that a rectangle’s area and perimeter have the same numerical value also the length of the rectangle is 12 units.

The area of the rectangle = 12x2.4 = 28.8

Area = Perimeter

Length x Width = 2 (Length + Width)

Then Substituting the value of the width, we get the length,

12 x W = 2(12 + W)

12W = 24 + 2W

10W = 24

W = 2.4

Hence we can conclude that the length of the rectangle is 12 Units. The value of the width of a rectangle is 2.4 units.

To know more about the area and perimeter of a rectangle, follow the link given below.

brainly.com/question/26526597.

#SPJ2

Answer:

2.4

Step-by-step explanation:

12x2.4 = 28.8 (Area)

12+12+2.4+2.4 = 28.8 (Perimeter)

The smith is generate one and a half times as much as their neighbors, the joneses. Together, the two households produce 15 bags of trash each month. How much trash does each household generate ?

Answers

Answer:

The Smith generates 6 bags of trash per month, and the Joneses generates 6 bags of trash per month.

Step-by-step explanation:

We know that

The Smith generates one and a half times trash as much as the Joneses.
Both families generate 15 bags of trash per month.

To solve this problem, we need to transform each statement in a equation.

$S=1(1)/(2)J$

Where $S$ represents the Smith, and $J$ represents the Joneses.

This expressions expresses the one and a half difference between the two families.

If both families produce 15 bags of trash, the equation would be

$S+J=15$

Now, we replace the first equation into the second one and solve for $J$

$1(1)/(2)J+J=15\n1.5J+J=15\n2.5J=15\nJ=(15)/(2.5)=6$

Then, we replace this value into one equation to find the other variable

$S+J=15\nS+6=15\nS=15-6\nS=9$

Therefore, the Smith generates 6 bags of trash per month, and the Joneses generates 6 bags of trash per month.

Smith = 1.5Jones
S=1.5J
S + J = 15
1.5J + J = 15
2.5J = 15
J = 6
S = 9

What patterns are there in prime numbers

Answers

That they are only divisible by 1 and themselves.
2 divisible by 2 and 1
3 divisible by 3 and 1
5 divisible by 5 and 1

And so on...

Well, prime numbers cannot be divided by any numbers other than 1 and that number.
Some prime numbers are 7, 11, 13, 17, 19, 23, and more.

Composite numbers on the other hand are numbers like 4... They can be divided by 1, their number and other numbers, but in this question you do not need to know that.
Hope this helps.

A ball is dropped and bounces to a height of 5 feet. The ball rebounds to 70% of its previous height after each bounce The function that could be used to model the nth term in the sequence of heights of the ball after the initial drop is

Answers

Answer:

$T_n = 7.143(0.7^n)$

Step-by-step explanation:

If a ball bounces to a height of 5feet, the initial drop = 5feet

If the ball rebounds to 70% of its previous height after each bounce, the next height after rebouncing will be expressed as;

= 70% of 5

= 70/100 * 5

= 0.7*5

= 3.5 feet

The next height will be 0.7*3.75 = 2.45 and so on

The heights wil form a sequence as thus;

5, 3.5, 2.45...

This sequence forms a geometric progression.

To get the function that could be used to model the nth term in the sequence of heights of the ball after the initial drop, w will find the nth term of the sequence

$T_n = ar^(n-1)$

a is the first term of the sequence

n is the number of terms

r is the common ratio

From the sequence:

a = 5

$r = (3.5)/(5) = (2.75)/(3.5) = 0.7$

Substitute the given values into the formula

$T_n = 5(0.7)^(n-1)\nT_n = 5((0.7^n)/(0.7^1) )\nT_n = (5)/(0.7)* 0.7^n \nT_n = 7.143(0.7^n)$

The nth tern=m required is $T_n = 7.143(0.7^n)$

The function that models the nth term in the sequence of heights of the ball after the initial drop is an = 5 * 0.7(n-1)

The sequence of heights of the ball can be modeled using a geometric sequence, since the ball rebounds to 70% of its previous height after each bounce. The formula for a geometric sequence is:

an = a1 × r(n-1)

where an represents the nth term in the sequence, a1 is the initial term (in this case, the height of the first bounce), and r is the common ratio (in this case, 0.7). So, the function that could be used to model the nth term in the sequence of heights of the ball after the initial drop is:

an = 5 × 0.7(n-1)

Learn more about Geometric sequence here:

brainly.com/question/34246122

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Other Questions

One less than the product of a number and 3 is 5 more than the number it self

What number must be added to both sides of the equation to complete the square ?X^2+12x=-6 a)-144 b)36 c)-36 d)144

C = 0.765x + 0.06(0.765x)

Pls help me ??