The amplitude of this graph is 3 the maximum is 4 the minimum is -2 the period is 4 and the midline is 1 how would the function be written is all I haven’t figured out

The Amplitude Of This Graph Is 3 The Maximum Is 4 The Minimum Is -2 The Period Is 4 And The Midline Is

Answers

Answer 1

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required equation is :

[tex] \qquad \sf  \dashrightarrow \:y = a \sin(bx) + k[/tex]

Now, let's find the required values :

period (p) = 4

[distance between any successive Crest or trough]

a = - 3 (flipped)

b = 2π/p = 2π/4 = π/2

k = 1

Distance of starting position from origin = k

Now, plug in the values ~

[tex]\qquad \sf  \dashrightarrow \: - 3 \sin( \frac{ \pi}{2}x ) + 1[/tex]


Related Questions

The volume of a cylinder is 1,0297 cubic
centimeters. The height of the cylinder is
21 centimeters. What is the radius, to the
nearest centimeter, of the cylinder?

Answers

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=10297\\ h=21 \end{cases}\implies 10297=\pi r^2(21)\implies \cfrac{10297}{21\pi }=r^2 \\\\\\ \cfrac{1471}{3\pi }=r^2\implies \sqrt{\cfrac{1471}{3\pi }}=r\implies 12\approx r[/tex]

The height of 14-year-old boys in the United States is normally distributed with a mean of 64.5 in, and a standard deviation of 3.1 in.
Label the normal curve by entering the value at each standard deviation in the box.

Answers

Answer:

61.4-67.6 - 68.37% likely to fall within this range.

58.3-70.7 - 95.45% likely to fall within this range.

55.2-73.8 - 99.73% likely to fall within this range.

Step-by-step explanation:

Pasang fixed the marked price of a watch Rs. 4000 and he sold it allowing a discount of 10%. Then he made a profit of Rs 400. Find the cost orice of the watch.​

Answers

Answer:

Cost Price = Marked Price -Discount - Profit

CP = 4000-400-400

Cost price = 3200

Rs. 3200

The answer iis in the above picture hope you like it. Pls mark brainliest

If a tennis ball has a diameter of 14, What is the volume of the tennis ball? Round to the nearest hundreth Use
3.14 for it pi

Answers

if its diameter is 14, then its radius is half that or 7.

[tex]\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=7 \end{cases}\implies \begin{array}{llll} V=\cfrac{4\pi (7)^3}{3}\implies V=\cfrac{1372\pi }{3} \\\\\\ \stackrel{using~\pi =3.14}{V\approx 1436.03} \end{array}[/tex]

Answer:

[tex]1436.76... units^3[/tex]

Step-by-step explanation:

Recall the formula for the volume of a sphere.

[tex]V = \frac{4}{3} \pi r^3[/tex]

The question gives you diameter. As you know, diameter is twice the radius. Therefore, to convert diameter into radius, you divide the diameter by 2.

[tex]r = 14/2[/tex] [tex]= 7[/tex]

Now that you have the radius, all you need to do is plug it into the volume formula.

[tex]V = \frac{4}{3}\pi 7^3[/tex] = [tex]1436.76... units^3[/tex]

Please help i will give brainliest to the right answer

Answers

Step-by-step explanation:

Jacinta is completely right while Tess made a mistake on the 3rd step.

she mistakenly plugged in the y value as X, and plugged in the X value as y.

so Tess is incorrect

a triangle banner is to be made according to the specifications in the figure shown with dimensions given in inches. WOODEN STICKS WILL BE USED TO OUTLINE THE PERIMETER of the banner in order to attach the interior material. How many inches of wooden sticks will be required?

Answers

Applying the Pythagorean theorem, the amount of inches of wood required = Perimeter of triangle = 15 + 13 + 9 = 37 inches.

What is the Pythagroean Theorem?

The Pythagorean theorem is used to find a side of a right triangle, and it states that if c is the hypotenuse and a and b are the other legs, therefore: c² = a² + b².

Find the altitude/height of the triangle using the Pythagorean theorem:

height = √(13² - 5²)

height = 12

Also, use the Pythagorean theorem to find the missing side (part of the longest side of the main triangle):

missing side = √(15² - 12²) = 9

Amount of inches of wood required = Perimeter of triangle = 15 + 13 + 9 = 37 inches.

Learn more about the Pythagorean theorem on:

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probably very easy but i do need some help asap
my calculations are not giving me the answer i'm supposed to receive which is
9y^3(3-y)

Answers

Answer:

[tex]\sf 9y^3(3-y)[/tex]

Step by step explanation:

[tex]\sf 27y^3-9y^4[/tex]

Factor out common term 9 :

[tex]\sf \implies 9(3y^3-y^4)[/tex]

Apply exponent rule [tex]\sf a^{bc}=a^{b+c}=a^ba^c[/tex] :

[tex]\sf \implies 9(3y^3-y^{1+3})[/tex]

[tex]\sf \implies 9(3y^3-y^1y^3)[/tex]

Factor out common term [tex]\sf y^3[/tex]:

[tex]\sf \implies 9y^3(3-y^1)[/tex]

Apply exponent rule [tex]\sf a^1=a[/tex] :

[tex]\sf \implies 9y^3(3-y)[/tex]

rom the sample space S=​{1, ​2, 3,​ 4,..., 15} a single number is to be selected at random. Given the following​ events, find the indicated probability. ​A: The selected number is even. ​B: The selected number is a multiple of 4. ​C: The selected number is a prime number. ​P(C∣A​)

Answers

The probability that the selected number is even, multiple of 4 and prime are 7/15, 1/5 and 2/5 respectively

What is Probability?

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Given the following set

S=​{1, ​2, 3,​ 4,..., 15}

n(S) = 15

If the selected number is even

E = {2, 4, 6, 8, 10, 12, 14}

n(E) = 7

Pr(selecting even number) = n(E)/n(S)

Pr(selecting even number) = 7/15

If the selected number is a multiple of 4

E = {4, 8, 12}

n(E) = 3

Pr(multiple of 4) = n(E)/n(S)

Pr(multiple of 4) = 3/15 = 1/5

If the selected number is a prime number

E = {2, 3, 5, 7, 11, 13}

n(E) = 6

Pr(prime number) = n(E)/n(S)

Pr(prime number) = 6/15 = 2/5

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three times the number of books that you have

Answers

b3

Step-by-step explanation:

let b represent the number of books

b×b×b

b3

You invest $30,000 for 6 years, in an account that earns 14% interest. How much money is in your account at the end of 6 years?


A
$69,153.95
B
$95,848.50
C
$35,849.18
D
$65,849.18

Answers

C.)
35,848.18

Is this for a test? I swear it’s been on a test before. Anyway good luck

Differentiate cosec5x

Answers

[tex]\dfrac{d}{dx} \csc(5x)\\\\=-\csc(5x) \cdot \cot (5x) \cdot \dfrac{d}{dx} (5x)\\\\=-5\csc(5x) \cdot \cot(5x)[/tex]

Old-fashioned oatmeal contains 27 grams of carbohydrates per 1/2 cup of dry oats. How many grams of carbohydrates are available in 2 1/4 cups of dry oats?

Answers

there would be 243 carbohydrates in 2.25 cups.

There 121.50 grams of carbohydrates are available in 2 1/4 cups of dry oats.

What is Ratio?

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

We have been given that old-fashioned oatmeal contains 27 grams of carbohydrates per 1/2 cup of dry oats.

We have to determine the number of grams of carbohydrates available in 2 1/4 cups of dry oats.

Let x grams of carbohydrates be available in 2 1/4 cups of dry oats.

As per the given information, we can write the ratio would be as:

27 grams of carbohydrates : 1/2 cup of dry oats = x grams of carbohydrates : 2 1/4  cup of dry oats

⇒ 27/ (1/2) = x/(2 1/4)

⇒ 27/ (1/2) = x/(9/4)

Reciprocal the term in the numerator,

⇒ 27 × 2 = x × 4/9

Apply the cross-multiplication operation,

⇒ x = 54 × 9/4

⇒ x = 121.50

Thus, there are 121.50 grams of carbohydrates are available in 2 1/4 cups of dry oats.

Learn more about the Ratio here:

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#SPJ2

1. Solve 2(x + 1)^2 = 18. What are the x-intercepts?

Answers

Answer:

The x-intercepts are [tex](2,0)[/tex] and [tex](-4,0)[/tex].

Step-by-step explanation:

We are given the equation

[tex]2(x+1)^2=18[/tex]

Begin by dividing both sides of the equation by 2:

[tex](x+1)^2=9[/tex]

Next, take the square root of both sides. Remember that there are two solutions to a square root, the positive and the negative root:

[tex]x+1=\pm3[/tex]

Split the equation into two based on the two solutions:

[tex]x+1=-3[/tex]

[tex]x+1=3[/tex]

Solve each equation by subtracting 1 from both sides:

[tex]x=-4\\ x=2[/tex]

Since the x-intercepts are the solutions to a quadratic, we know the solutions are (2,0) and (-4,0).

Help picture below problem 11

Answers

Answer:

angle S = 61

Step-by-step explanation:

triangles angles should all add up to 180.

so, if you do 68+51 it should equal 119

then you will do 180-119 which gives you 61.

Answer:

i believe the answer is 61

Step-by-step explanation:

I added the current angles together to get 119 and then subtracted 180 from it and got 61.

the total deposist made over a time of periode

Answers

bro what.... finish the question...

NO LINKS!! Explain your answers (show the support by showing the changes in x and y on your table). If the relationship is linear, inverse, or exponential, write the equation.
#5 and #6​

Answers

Answer:

Linear relationship: increasing or decreasing one variable will cause a corresponding increase or decrease in the other variable.

Inverse relationship:  the value of one variable decreases as the value of the other variable increases.

Exponential relationship: a constant change in the independent variable (x) gives the same proportional change in the dependent variable (y)

Question 5

As the x-value increases (by one unit), the y-value decreases.

Therefore, this is an inverse relationship.

The y-values are calculated by dividing 35 by the x-value.

[tex]\sf y=\dfrac{35}{x}[/tex]

**I believe there is a typing error in the table and that the y-value of x = 3 should be 11.67**

Question 6

As the x-value increases, the y-value increases.  The y-value increases by a factor of 5 for each x-value increase of 1 unit.

Therefore, this is an exponential relationship.

[tex]\sf y=5^x[/tex]

Consider the sequence below:
-4, 2, 8, 14, 20, …
What explicit expression can be used to find the term x of this sequence?

Answers

Answer:

n+6=x

Step-by-step explanation:

Each number is six more than the previous number.  Adding six to the previous number, n, gets us the next term in the sequence, x.

hey, can I have some help with this? I don't get it so let me know if you have an explentation. Thanks :)

Answers

I think the answer will be because 23 4 times 1/6

Answer: 250

Step-by-step explanation:

This problem is attempting to explain the distributive property to you.

The distributive property states that if you have the numbers a, b, and c:

[tex](a*c) + (b*c) = c * (a+b)[/tex]

In your specific case, this would look like this:

[tex](23+37) * 4\frac{1}{6}[/tex]

[tex]60 * \frac{(4*6)+1}{6}[/tex]

[tex]60*\frac{25}{6}[/tex]

To simplify, we factor a 6 out of the equation:

[tex]10*25 = 250[/tex]

I will mark brainly, please help me solve this question.

If the rate of inflation per annum is 15% per annum, how long will iti take for the price of an item to double?​

Answers

Answer:

it will take approximately 6.67 annum(years) to double the price of an item that is inflated by 15% each annum(year)

find ingrammes 1/5 of 2 kg + 60 g​

Answers

Answer

i dont know i jus want the points

Step-by-step explanation:

A reciangular pyramid is sliced
horizontally, parallel to its base.
Which figure could represent the
cross section of the pyramid?
A rectangle
Pl triangle
C. cirde
D. hexagon.

Answers

D.hexagon because when it’s parallel to the base it represents a hexagon

You buy apple chips and banana chips in the ratio of 2 : 7. How many ounces of banana chips do you buy when you buy n ounces of apple chips?

Answers

Answer:

7/2  n    ounces of banana

Step-by-step explanation:

a / b = 2/7

re-arrange to

7/2 a = b

n ounces of apple would result in

7/2 n   = banana chip ounces

If the function f(x) is change to g(x) what transformation has occurred?
(5 Points)
f (x) = 3x - 7 and g (x) = 3x + 3
The graph of g is a vertical strecth.
The graph of g is 3 units above f
• The graph of g is 10 units above f

Answers

Answer:

Step-by-step explanation:

If the function f(x) is change to g(x) what transformation has occurred?

(5 Points)

f (x) = 3x - 7 and g (x) = 3x + 3

The graph of g is a vertical strecth.

The graph of g is 3 units above f

• The graph of g is 10 units above f

how would the equation be written with an amplitude of 3 maximum of 4 minimum of -2 period of 4 and midline of 1 (Will report scams)

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here we go ~

The required equation is :

[tex] \qquad \sf \dashrightarrow\: y = asin(bx) +k [/tex]

Now, let's find the required values :

period (p) = 4

[distance between any successive Crest or trough]

a = - 3 (flipped)

b = 2π/p = 2π/4 = π/2

k = 1

Distance of starting position from origin = k

Now, plug in the values ~

[tex] \qquad\dashrightarrow \sf\: y = -3sin(\frac{\pi}{2}x)+1 [/tex]

Help picture below problem 16

Answers

Answer:

c²=a²+b². 13²=12²+b² 169=144+b². b² =√25=5

Step-by-step explanation:

13² = ?² + 12²

169 - 144 = ?²

√25 = ?

5 yards = ?

Yes Or No
Mr. Rainey is a new depositor at your institution. He complains that charges for funds transfers are too
expensive
Should his complaint be logged and handled by the Reg E Department?
O Yes
Ο Νο

Answers

Answer:Yes

Step-by-step explanation:His complaint is valid.

A company paid ​$203.00 for an item. The original price was​ $291.10​, but this was marked down 40​%. If the operating expenses are 36​% of the​ cost, find the operating loss and the absolute loss.

1. What is the operating loss?
2. What is the absolute loss?

Answers

Answer,:

Answer and Explanation: 1

1.

Calculation for operating loss is shown below:

Break-even point in dollars = Cost + Operating expenses

Break-even point in dollars = $208.40 + (36% * $208.40)

Break-even point in dollars = $208.40 + $ 75.024

Break-even point in dollars = $283.424

Reduced price = Original price - (Original price * Mark down)

Reduced price = $292.60 - ($292.60 * 40%)

Reduced price = $292.60 - $117.04

Reduced price = $175.56

Operating loss = Break-even point in dollars - Reduced price

Operating loss = $283.424 - $175.56

Operating loss = $107.864

2.

Calculation of absolute loss is shown below:

Absolute loss = Cost - Reduced price

Absolute loss = $208.40 - $175.56

Absolute loss = $32.84

brain less plss

THIS ANSWER IS CORRECT

Makayla leans a 18-foot ladder against a wall so that it forms an angle of 64 degrees with the ground. What’s the horizontal distance between the base of the ladder and the wall? Round your answer to the nearest tenth of a foot if necessary.

Please help me, I don’t understand the problem!

Answers

The ladder and the outside wall form a right triangle

The distance from the base of the ladder is 7.89 feet

How to determine the distance to the base of the ladder?

The given parameters are:

Length (L) = 18 feet

Angle of elevation (θ) = 64 degrees

The distance (D) from the base of the ladder is calculated using the following cosine ratio

cos(θ) = D/L

So, we have:

cos(64) = D/18

Make L the subject

D = 18 * cos(64)

Evaluate the product

D = 7.89

Hence, the distance from the base of the ladder is 7.89 feet

Read more about right triangles at:

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What is the solution to the following system?
(3x+2y+z = 20
X-4y-Z=-10
2x+y + 2z = 15

Answers

Answer:

x = 4; y = 3; z = 2

Step-by-step explanation:

3x + 2y + z = 20

x - 4y - z = -10

2x + y + 2z = 15

6x + 4y + 2z = 40

 x  - 4y  - z   = -10

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

7x            + z = 30

 x  - 4y  -    z = -10

8x + 4y  + 8z = 60

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

9x            + 7z = 50

z = 30 - 7x

9x + 7(30 - 7x) = 50

9x + 210 - 49x = 50

-40x = -160

x = 4

z = 30 - 7(4)

z = 2

2x + y + 2z = 15

2(4) + y + 2(2) = 15

y = 3

x = 4; y = 3; z = 2

Solve the system of equations.​
−4x+3y=−2y=x−1​

Answers

Step-by-step explanation:

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