Write a sine function that has a midline of 5, an amplitude of 4 and a period of 3pi/2

Write A Sine Function That Has A Midline Of 5, An Amplitude Of 4 And A Period Of 3pi/2

Answers

Answer 1

Answer:

Step-by-step explanation:

The standard form for this function is

y = Asin(Bx - C) + D where

A is the amplitude,

B is used to find the period in the formula [tex]period=\frac{2\pi}{B}[/tex],

C is used to find the phase shift in the formula [tex]ps=\frac{C}{B}[/tex],

and D is the midline which either moves the function up or down from its natural midline of 0.

We have no given phase shift, so there is no C value. The amplitude is easy; we just fill in A as 4. The period is another story:

[tex]\frac{3\pi}{2} =\frac{2\pi}{B}[/tex] and we solve for B by cross multiplying:

3πB = 4π and

[tex]B=\frac{4\pi}{3\pi}[/tex] so

[tex]B = \frac{4}{3}[/tex] so the function is

[tex]y=4sin(\frac{4}{3}x)+5[/tex]


Related Questions

You get a gift of $1,000.  You decide that you want to invest all of the money in a savings account.  However, your bank has two different savings plans.  Determine the final amount in the account for each plan in 5 years.  Round your answers to two decimal places if needed. 
 
Plan A:  The bank gives you 4% interest rate and it is compounded every two months.  
 
Plan B:  The bank gives you a 10% interest rate and compounds the interest every 6 months.

Final Account balance for Plan A: $ 
 
Final Account balance for Plan B: $

Answers

Step-by-step explanation:

write what you know

P = 1,000

n = 5 years

Plan 1

i = 0.04 / 2 months = (0.04 / 2 months) x (12 months / year) = 24%

write and solve

future value = p(1+i)^n = 1000(1+0.24)^5

plan 2

i = 0.10 / 6 months = (0.10 / 6 months) x (12 months / year) = 20%

write and solve

future value = p(1+i)^n = 1000(1+0.20)^5

Which system is represented by the graph below?
х

Answers

Answer:

y = 2x - 5

y = -x + 1

Step-by-step explanation:

y = 2x - 5

y = -x + 1

the systems have one solution

=> (2, -1)

I need help PLEASE HELP ME

Answers

Answer:

x ≥5  or  5 ≤x

Step-by-step explanation:

2x ≤ 5x - 15

Subtract 5x from each side

2x-5x ≤ -15

-3x ≤-15

Divide each side by -3, remembering to flip the inequality

-3x/-3 ≥ -15/-3

x ≥5

Check x=10

2*10 ≤5*10 -15

20 ≤50 -15

20 ≤35

True

WILL MARK BRAINLIEST!!!!
Kim's into mystery fiction stories. Her current book is 400 pages long. She has read 60 pages so far. If she plans to read 34 pages a night till she finishes, how many nights will Kim read? Which equation with a variable represents this situation. *
1) 400 + 60 + 34
2) 34 +60 = 400
3) 34n + 60 = 400
4) 34 + 60n =400

Answers

Answer:

400 pages- 60 pages

340 pages

number of nights=340/34

=10 nights

answer is third option

3)34n+60=400

34n=400-60

34n=340

n=10


Solve the simultaneous equations
5x + y = – 5
5x - 2y = - 20

Answers

Answer:

x=-2 and y=5

Step-by-step explanation:

the answer are in the images above

Given parallelogram ABCD, find x, y, length AB and Length BC.

Answers

Answer:

x = 18  y = 5

Step-by-step explanation:

x  + 5 = 2x - 13

x - 2x = -13 - 5

-x = -18

x = 18

2y - 2 = 4y - 12

2y - 4y = -12 + 2

-2y = -10|:(-2)

y = 5

Answer:

x = 18, y = 5, AB = 23, BC = 8

Step-by-step explanation:

The opposite sides of a parallelogram are equal, so

DC = AB , that is

2x - 13 = x + 5 ( subtract x from both sides )

x - 13 = 5 ( add 13 to both sides )

x = 18

and

BC = AD , that is

4y - 12 = 2y - 2 ( subtract 2y from both sides )

2y - 12 = - 2 ( add 12 to both sides )

2y = 10 ( divide both sides by 2 )

y = 5

Then

AB = x + 5 = 18 + 5 = 23

BC = 4y - 12 = 4(5) - 12 = 20 - 12 = 8

The kitchen, dining room, and living room of a house will be painted, each with a different color. There are 7 colors to choose from. This means that there are _[blank]_ color arrangements possible.

Answers

Answer:

21

Step-by-step explanation:

Given that :

Number of rooms = 3

Variants of paint available = 7

Since the rooms will be painted with different colors :

Hence,

Number of possible paintings for kitchen = 7 (7 different paints)

This also applies to the other 2 rooms

Hence,

We have 3 * 7 = 21 color arrangements possible.

how to express a polynomial sum in simplest form?

Answers

Answer:

Polynomials can be simplified by using the distributive property to distribute the term on the outside of the parentheses by multiplying it by everything inside the parentheses. You can simplify polynomials by using FOIL to multiply binomials times binomials.

Step-by-step explanation:

Help plz question in picture

Answers

Answer:

B and D are correct

Step-by-step explanation:

Imagine if c, b, and k were equal to 5.  Then, multiply to figure out how much Mia earned.  Solve the rest of the equations while still using 5 in place of the variables.  If they are the same as your first answer, it is right

X
CO
f(x)
-10
-8
-6
Which is an x-intercept of the continuous function i
the table?
-2
-1
0
1
2.
3
(0, -6)
O (30)
-4
-2
0

(-6, 0)
(0,3)

Answers

Answer:

10

Step-by-step explanation:

X

CO

f(x)

-10

-8

-6l;

Which is an x-intercept of the continuous function rs are swamped. Wait for your answer to fully load.

the table?

-2

-1

0

1

2.

3

(0, -6)

O (30)

-4

-2

0

(-6, 0)

(0,3)

Calculate the perimeter of the following rectangle:
A 23 in.
B 30 in.
C 13 in.
D 26 in.

Answers

Answer:

i realy dont know sorry

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

10+10+3+3 or

2(10) + 2(3)

20 + 6

26

Perimeter: D

Patrick made a scale drawing of a newly planted hotel the height of the scale drawing is 27 inches what would be the actual height, in meters, of the hotel if it was constructed.

pls hurry lol

Answers

Answer:

0.6858 meters

Step-by-step explanation:

The answer is 0.6858

Rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents.

two to the three fourths power, all over two to the one half power

the eighth root of two to the third power
the square root of two to the three fourths power
the fourth root of two
the square root of two

Answers

here you go, hope this helps :)

15 x (-16) x(-23) x(-1)

Answers

Answer:

-207

Step-by-step explanation:

assume the answer is x

x=15*-16*-23*-1

=-240+23

=-207

answer:

−5520x³

step by step explanation:

15 x ( − 16 ) x ( − 23 ) x ( − 1 )

= 15 * x * ( − 16 ) * x * ( − 23 ) * x * ( − 1 )

= − 5520 * x³

= − 5520x³

Which number is closest to the square root of 48
?
5.9
7.3
6.9
6.3

Answers

Answer:

6.3 is closest to the square root of 48

I bet you!

Answer:

6.9

Step-by-step explanation:

[tex]\sqrt{48}[/tex] =6.92820323

So, the closest is 6.9

Can someone please help me!

Answers

1, 2, 3, 4, 5, 6, 7, 8, i don't know, and i haven't ate, 9, 10, 11, 12, this really sucks cuz ur on ur own :(

Which of the following sets of numbers could represent the three sides of a right triangle?
A) {9,12,14}
B) {11,59,61}
C) {48,55,73}
D) {8,40,41}

Answers

9514 1404 393

Answer:

  C)  {48, 55, 73}

Step-by-step explanation:

In general, you see which sets of numbers satisfy the Pythagorean theorem. The tedium can be relieved slightly by letting a spreadsheet do the calculations.

The attachment shows us that triangle C is a right triangle.

_____

You may recognize some of the answer choice triples as being "near" some familiar Pythagorean triples:

  {3, 4, 5} × 3 = {9, 12, 15} . . . near A)

  {11, 60, 61} . . . . near B)

  {9, 40, 41} . . . . near D)

The highlighted numbers are the indication that the nearby answer choice is NOT a right triangle.

Please help my friend about "writing expressions for transformations" 8-9th grade algebra

question: write an expression for the transformation of f(x), given the following graph


i have many points, must provide real answer or you will be reported​

Answers

Answer:

f(x+3) +7

Step-by-step explanation:

We move the green graph 3 units to the left f(x-h)  where h is how many units moved.  We are moving 3 units to the left so h is -3  f(x - -3)

f(x) becomes f(x+3)

Then we move up 7 units

f(x) +k where k is the number of units up or down

f(x+3) +7

What will be the force of gravity in between two balls of mass 5 kg and 9 kg separated by 50m distance?

Answers

Answer:

[tex] \Large{\boxed{\sf F = 1.2 \times 10^{-12} \: N}} [/tex]

[tex] \\ [/tex]

Explanation:

The gravitational force in between two objects can be calculated using the following formula:

[tex] \boxed{\sf F = G \times \dfrac{m_1 \times m_2}{d^2}} [/tex]

Where:

F is the gravitational force in N.m₁ and m₂ are the masses of the objects in kg.G is the gravitational constant.d is the distance between the objects in m.

[tex] \\ [/tex]

[tex] \Large{\sf Given \text{:} \begin{cases} \sf m_1 &=\sf 5 \: kg \\ \sf m_2 &=\sf 9 \: kg \\ \sf d &=\sf 50 \: m \\ \sf G &= \sf 6.67 \times 10^{-11} \: N.m^2.kg^{-2} \end{cases}} [/tex]

[tex] \\ [/tex]

Substitute these values into our formula:

[tex] \sf F = 6.67\times 10^{-11} \times \dfrac{5 \times 9}{50^2} = \boxed{\boxed{\sf 1.2 \times 10^{-12} N}} [/tex]

[tex] \\ \\ [/tex]

▪️Learn more about the gravitational force here:

↣https://brainly.com/question/29578412

Can someone help me with this question and help me find out what the "a" does in the problem y=a(x-h)^(2)+k

Answers

Answer:

See below (and attached file)

Step-by-step explanation:

The value of [tex]a[/tex] in the equation [tex]y=a(x-h)^2+k[/tex] represents how much a vertical parabola will stretch or compress, as well as whether it opens upward or downward:

If [tex]0<|a|<1[/tex], it is a horizontal stretch

If [tex]|a|>1[/tex], it is a horizontal compression

If [tex]a<0[/tex], the parabola opens downward

If [tex]a>0[/tex], the parabola opens upward

The file attached shows a graph with different examples of what happens to a parabola when the value of [tex]a[/tex] changes.

12(4x−5)+5/2=10 solve for x pls help!!!!

Answers

Answer:

Step-by-step explanation:

[tex]12(4x - 5) + \frac{5}{2}=10[/tex]

Multiply the whole equation by 2

[tex]2*12(4x -5) + \frac{5}{2}*2=10*2\\\\24(4x-5) + 2 = 20\\[/tex]

24*4x - 5*24 + 2 = 20

96x - 120 + 2 = 20

 96x - 118 = 20

Add 118 to both sides

       96x = 20 +118

       96x = 138

Divide both sides by 96

x = 138/96  = 23/16

[tex]x = 1 \frac{7}{16}[/tex]

C=400-5x+0.125x^2 where x is the number of gas grills produced. How many units should be produced each day to yield a minimum cost ?

Answers

Answer:

x=20

Step-by-step explanation:

take the derivative and set to zero

c prime = -5 + .25x

0 = -5 + .25x

.25x = 5

x=20

simplify each expression. State any excluded values, Show your work.

2x^2+6x/10x^3

help ༎ຶ‿༎ຶ​

Answers

Answer:

[tex]\frac{3x^{4}+10x^{2} }{5}[/tex]

Step-by-step explanation:

[tex]2x^{2} + x^{3}(\frac{6x}{10} )[/tex]

[tex]2x^{2} + x^{3}(\frac{3x}{5} )[/tex]

[tex]2x^{2} + \frac{3xx^{3}}{5}[/tex]

[tex]\\ 2x^{2} + \frac{3x^{4}}{5}[/tex]

[tex]\frac{5(2x^{2} )}{5} + \frac{3x^{4}}{5}[/tex]

[tex]\frac{5(2x^{2} )+3x^{4}}{5}[/tex]

[tex]\frac{10x^{2} +3x^{4}}{5}[/tex]

[tex]\frac{3x^{4}+10x^{2} }{5}[/tex]

Can someone please help me out with the last one
ASAP I WILL GIVE OUT BRAINLY

Answers

Answers:

x = 7Area of shaded region = 162 square units

You may need to leave off the "square units" portion.

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

Explanation:

For now, ignore the smaller rectangle and its dimensions. The larger rectangle has sides 3x and x+5, which I'll call the length and width.

L = 3x

W = x+5

The perimeter of any rectangle is P = 2(L+W). Plug in those values of L and W, and also the given perimeter P = 66. Isolate x.

P = 2(L+W)

2(L+W) = P

2(3x+x+5) = 66

2(4x+5) = 66

8x+10 = 66

8x = 66-10

8x = 56

x = 56/8

x = 7

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

Now that we know x, we can find the area of the rectangles.

As you probably can guess, the shaded region is the difference of the two areas.

A = area of larger rectangle

A = (length)*(width)

A = (3x)*(x+5)

A = (3*7)*(7+5)

A = 252

B = area of smaller rectangle

B = (x+3)*(x+2)

B = (7+3)*(7+2)

B = 90

C = area of shaded region

C = A - B

C = 252 - 90

C = 162 square units is the area of the shaded region.

The sum of three consecutive even integers is 108. What is the largest number

Answers

Answer:

38

Step-by-step explanation:

Sydney’s teacher says she may have her report card percentage based on either the mean or the median and she can drop one test score if she chooses.

94%, 84%, 100%, 68%

Which measure of center should Sydney choose so she can have the highest percentage possible?

Answers

Answer: The correct answer is: Sydney should choose the median after dropping one test score.

HELP LOL
Just need the numbers

Answers

Answer:

Note*: I included the given ones.

Top row: 64^1 — 64^1/2 — 64^ 1/3 — 64^0 — 64^-1/2 — 64^-1

Bottom row: 64 — 32 — 4 — 0 — 1/8 — 0.015625

please help ill rate you 5 and follow yoy and like maybe even brainlist!Draw the image of the given figure after a reflection across the x-axis. Do not forget to label the image. down right P up left is V​

Answers

Answer:

don't worry you will get answers after some time

Step-by-step explanation:

be positive

4.Beyunka is creating a diagram to prove that a certain triangle is a right triangle.
In her diagram, she uses three white quadrilaterals that are squares. Which
diagram could be the one that Beyunka is creating?

Answers

Option 'D' is the correct option.

The correct diagram for Beyunka creating is given in option D.

What is Right triangle?

When an angle of a triangle is measure 90 degree then the triangle is called a right triangle.

Given that;

Beyunka is creating a diagram to prove that certain triangle is a right triangle.

Since, The right triangle is satisfy the Pythagoras theorem.

Now, By option D;

Let sides of a triangle are,

Hypotenuse (H) = c

Perpendicular side (P) = a

Then, The base of the right triangle = √H² - P² = √c² - a²

And, All other diagrams are not satisfy the Pythagoras theorem.

Thus, The correct diagram for Beyunka creating is given in option D.

Learn more about the right triangle visit:

https://brainly.com/question/15249087

#SPJ2

Can someone help me out I will give out brainly

Answers

Answer:

x = 2, P = 22 cm, A = 21 cm²

Step-by-step explanation:

The 2 legs of the triangle are congruent , then

6x - 4 = 8 ( add 4 to both sides )

6x = 12 ( divide both sides by 6 )

x = 2

perimeter = 8 + 8 + 6 = 22 cm

Area = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 6 and h = 7 , then

A = [tex]\frac{1}{2}[/tex] × 6 × 7 = 3 × 7 = 21 cm²

Answer:

x = 2

Perimeter = 22 cm

Area = 21 cm²

Step-by-step explanation:

=> We know that the 2 side lengths of the given triangle are congruent, because of the congruency mark theorems, therefore to solve for x first, we can say;

6x - 4 = 8

6x = 8 + 4

6x = 12

x = 12/6

x = 2

Now that we know the side lengths of the triangles are 8, 8 and 6, we can find the perimeter;

Side 1 + Side 2 + Side 3 = Perimeter

8 + 8 + 6 = Perimeter

22 = Perimeter

Lastly to find the Area of the triangle, follow the formula of;

A = 1/2 (b * h)

A = 1/2 (6 * 7)

A = 1/2 (42)

Area = 21

Hope this helps!

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