Write a cosine function that has an amplitude of 5, a midline of 4 and a period of 1.

Answers

Answer 1

Answer:

[tex]\displaystyle y = 5cos\:2\pi{x} + 4[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = 5sin\:(2\pi{x} + \frac{\pi}{2}) + 4} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 4 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{1}{4}} \hookrightarrow \frac{-\frac{\pi}{2}}{2\pi} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{1} \hookrightarrow \frac{2}{2\pi}\pi \\ Amplitude \hookrightarrow 5[/tex]

OR

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 4 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{1} \hookrightarrow \frac{2}{2\pi}\pi \\ Amplitude \hookrightarrow 5[/tex]

From the above information, you now should have an ideya of how to interpret trigonometric equations like these.

I am delighted to assist you at any time.


Related Questions

Help me find the expressions that are equivalent ?

Answers

it equals 729, so 3^6 also equals 729, and so does 9^3.

branliest would be appreciated:))

Answer:

3⁶

Step-by-step explanation:

We know that,

⇒ [tex]a^{x} *a^{y} =a^{(x+y)}\\[/tex]

⇒ [tex]\frac{a^x}{a^y} =a^{(x-y)}[/tex]

⇒ [tex](a^x)^y=a^x^y[/tex]

Let us solve it now.

3⁴ × 3²

3 ⁽ ⁴ ⁺ ² ⁾

3⁶ ⇒ 729

And let us find the value of each expression which are given as answers and find the expressions which are equivalent to 729 ( 3⁶ ).

3⁶ ⇒ 729                  ( YES )9⁶ ⇒ 531,441            ( NO )9³ ⇒  729                 ( YES ) 3⁸ ⇒  6,561               ( NO )9⁸ ⇒ 43,046,721       ( NO )

Tell me how to write linear equations for slopes, but in a way that's easy to understand.
Oh, and if you can, explain linear functions too

Answers

Answer:

First linear equattion is equation with two variables and its formlla is y=mx+b . Where y and x are variables and m is the slope . And b is rhe y intercept means the value which get from the value of x is 0. and x intercept is the value when y is 0

If f(x) =1/9x-2 what is f^1(x)
F^1(x) 9x+18
F^1(x) = 5x+2
F^1(x) =9x+2
F^1(x)=-2+1/9

Answers

Answer: 9x+18

Step-by-step explanation:

You want to go to Disneyland, but your budget is $425. The fee to enter the park is $105 and each meal (breakfast lunch and dinner) is $20. How many meals can you buy?

Answers

Answer:

16

Step-by-step explanation:

425-105 is 320.

320/20 is 16.

Question is in the pic​

Answers

Answer:

y=-3x-1

Step-by-step explanation:

if you have 12 ping pong balls how many tennis balls do you need

Answers

You will need 6 tennis balls a

The graph shown below expresses a radical function that can be written in
1/n
the form f(x)= a(x + k)
+C. What does the graph tell you about the
value of n in this function?
5
4:
---
Finni

Answers

The value of n given the form of the function is (b) positive odd number

How to interpret the graph?

The form of the graph is given as:

f(x) = a(x + k)^1/n + c

For the given graph, we have the following features:

a > 0 --- a is positivek > 0 --- k is positivec < 0 --- c is negative

If n is an even number, the function would be undefined because the even root of a number is undefined

However, the function is defined if n is an odd number,

Hence, the value of n given the form of the function is (b) positive odd number

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Answer:

B. positive odd integer

Step-by-step explanation:

Please help ASAP!!
Thank you!

Answers

Answer:

x=22

Step-by-step explanation:

(5x+4)+44+x = 180. reason [being co-interior angle)

48+6x = 180

6x = 132

x=22

what is the midpoint of the segment shown below? (-4,6) (4,-2)

Answers

See picture for math work and answer.

state the set of multiples of 3 between 5 and 29​

Answers

Answer:

6, 9, 12, 15, 18, 21, 24, 27,

Step-by-step explanation:

Hope it helps

ill give 90 Points I need this NOW!

Write the phrase as an expression.

6 more than the quotient of 15 and 3

Answers

Solution:

We know that:

Given phrase: 6 more than the quotient of 15 and 3

Rereading the phrase carefully.

{6} {more} than the {quotient of 15 and 3.} ↥       ↥                                    ↥           6      +                                 15/3

Expression formed: 6 + 15/3

21
15
X = ?

A. 6 units

B. 3V74 units

C. 3V35 units

D. 616 units

Answers

Answer:

C. 3V35 units

Step-by-step explanation:

it is what it is

A body builder consumed 4,400 calories yesterday. Today, he consumed 3,600 calories.
What is the percent decrease in number of calories consumed? Round to the nearest percent.

Answers

4400 - 3600 = 800

Decrease = 800 Calories

Original value was 4400 Calories.

Now,

   [tex]\frac{800}{4400}[/tex]×[tex]100[/tex]

[tex]=\frac{2}{11}[/tex]×[tex]100[/tex]

[tex]=\frac{200}{11}[/tex]×[tex]18.8[/tex]%

After Rounding off,

Decrease percentage will be 18 %

Thanks!

Mark me brainliest!

The function f(x) is shown on the graph
If f(x) = 0, what is x?
O 0 only
O-6 only
O-2, 1, or 3 only
O -6, -2, 1, or 3 only

Answers

if i’m not mistaken i believe it’s the 3rd option since on the x axis it only crosses -2,1,3

If f(x) = 0, the value of x are -1, 2 and 3.

What is Function?

In mathematics, a function is an expression, rule, or law that establishes the relationship between two variables—the independent and dependent variables. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

We have f(x)= 0

As we know that the solution of the graph can be predicted by the number of times the lines of the graph touches the x axis.

Here when f(x)= 0 which also means that y =0 then values of x are -2, 1 and 3.

Thus, the value of x are -1, 2 and 3.

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Pleas help fast!!!!!

Answers

Answer: your answer would be 7/16 .!

Step-by-step explanation: i hope you do well, good luck <33 .

Answer:

7/16

Step-by-step explanation:

No. of oranges = 4

No. of apples = 9

No. of pears = 3

Total no of fruits = 16

Probability that she selects oranges or pear

= (No of oranges and pears)/Total no of fruits

=(4+3)/16

= 7/16

Patrick laid a pencil and a candle end-to-end. the pencil is 15.80 centimeters long, the candle is 0.303 yards long. there are 30.48 centimeters in a foot. how many inches long are the two items placed end-to-end? a. 0.48 in b. 16.10 in c. 17.13 in d. 43.51 in

Answers

The two items placed end to end will have a length of 17.13 Inches.

What will be the length?

The length of any object will be defined as the distance from one end to the other end of the object.

Now it is given in the question that a pencil of length 15.80 cm is placed on a candle of length 0.303 yards so the total length will be calculated as:

[tex]\rm Total \ length = length \ of \ pencil+ Length\ of \ candle[/tex]

Length of pencil = 15.80 cm

Length of candle =  [tex]0.303\ yards=0.303\times 91.44\ cm =27.70\ cm[/tex]

[tex]\rm Total\ legnth= 15.80+27.70=43.50\ cm[/tex]

Now [tex]1\ cm =0.397\ inch[/tex]

[tex]43.50\ cm =43.50 \times 0.394= 17.13\ inches[/tex]

So the length of the two items will be 17.13 inches

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Answer:

Patrick laid a pencil and a candle end-to-end. The pencil is 15.80 centimeters long, the candle is 0.303 yards long. There are 30.48 centimeters in a foot. How many inches long are the two items placed end-to-end?

a.   0.48 in

b.   16.10 in

c.   17.13 in  ~  CORRECT

d.   43.51 in

 

Step-by-step explanation:

2022 Edge Quiz

Find the area A of polygon ABCDEFG with the given vertices.

A(0,5), B(2,5), C(2,3), D(3,2), E(1,2), F(0,3), G(−4,3)

Answers

The area A of polygon ABCDEFG with the given vertices is 10 square units

How to find the area A of polygon ABCDEFG with the given vertices?

The vertices are given as

A(0,5), B(2,5), C(2,3), D(3,2), E(1,2), F(0,3), G(−4,3)

The area of the polygon is calculated using

Area = 1/2 * |(x1y2 -x2y1) +(x2y3 -x3y2) + ..... + (xny -xyn)|

So, we have

Area = 1/2 * |(0 * 5 - 5 * 2) + (2 * 3 - 5 * 2) + (2 * 2 - 3 * 3) + (3 * 2 - 2 * 1) + (1 * 3 - 2 * 0) + (0 * 3 - 3 * -4) +(-4 * 5 - 3 * 0)|

Evaluate the sum of products

So, we have

Area = 1/2 * |-20|

Remove the absolute bracket

So, we have

Area = 1/2 * 20

Evaluate the products

So, we have

Area = 10

Hence, the area A of polygon ABCDEFG with the given vertices is 10 square units

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What is y= -1/3- 9 written in standard form?

Answers

Y=Mx+B is the slope for and then go from there

Q. find the value of x

Answers

Answer:

to find the value of x, bring the variable to the leftside and bring all the remaining values to the right side

Step-by-step explanation:

Thank me later

Find a, b and c so that the numbers 41, 46 a, b, c have a mean of 50 and a mode of 45.

Answers

Answer:

a = 45

b = 45

c = 73

The order doesn't matter as long as we have two copies of 45 and one copy of 73.

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

Explanation:

If a,b,c are all different values, then there's no way to have a mode since the mode is the most frequent item. We need 45 to repeat itself more than once.

This means either a,b,c are the same value (45) or exactly two of those variables are equal (either a = b, b = c or a = c) to 45.

Let's assume that a = b = c = 45. If so, then

{41,46,a,b,c}

would update to

{41,46,45,45,45}

Adding those items up and dividing by 5 gets us

(41+46+45+45+45)/5 = 44.4

We don't get the mean of 50 we want. So all three a,b,c values cannot be 45.

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

Instead, we have the case that exactly two of a,b,c are 45 and the third is something else.

Without loss of generality, let's say a = b = 45 and c is something else.

The set {41,46,a,b,c} updates to {41,46,45,45,c}

Add those values up, divide by 5, and set the result equal to the target goal of 50. The idea is to solve for c.

(41+46+45+45+c)/5 = 50

(177+c)/5 = 50

177+c = 5*50

177+c = 250

c = 250-177

c = 73

As a check,

(41+46+45+45+73)/5 = 50

which works out.

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

So that's how we arrive to a = 45, b = 45, c = 73

The order of the letters doesn't matter. We could easily have a = 45, c = 73 and b = 45; or we could have a = 73, b = 45, c = 45.

All that matters is exactly two of the a,b,c are 45 and the third variable is 73.

HURRY PLEASE THIS NEED TO BE ANSWERD IN 30 SECONDS FAKE ANSWER WILL BE REPORTED : )

Answers

Answer: (-6,0)

Step-by-step explanation:

Hope this helps!

Use the table to identify the values of pand that should be used to factor x2
+ 9x - 10 as (x + p)(x + a).
р
1
--1
2.
2
-10
10
-5
5
p+a
9
9
-3
3
O A. 2 and -5
O B. -2 and 5
O c. 1 and -10
OD. -1 and 10

Answers

Answer:
Hope it helped =D

You are buying 12-packs of Mountain Dew for $\text{4.50}4.50 each and have a gift card worth $77. The function m\left(x\right)=4.50x-7m(x)=4.50x−7 represents the total cost m\left(x\right)m(x) if you buy xx 12-packs of Mountain Dew and use the gift card. How much would you pay to buy 44 12-packs of Mountain Dew?

Answers

Answer:

$191

Step-by-step explanation:

The function is given by :

m(x) = 4.50x-7 ...(1)

Where

m(x) is the total cost if you buy x 12 packs of Mountain Dew.

We need to find the cost you pay to buy 44 12-packs of Mountain Dew

Put x = 44 in equation (1), we get :

m(x) = 4.50(44)-7

m(x) = 198-7

m(x) = $191

Hene, the cost for 44 12- packs of Mountain Dew is $191.

mr. Walters drove to happy town from smile City in about 6 hours the distance from smile city to happy town is 315 km, what is the average speed​

Answers

Answer:

52.5kmph (tbh id/k if this is right so sos!)

Step-by-step explanation:

speed = distance / time

speed = 315 / 6

speed = 52.5

I will develop explicit and recursive forms of arithmetic sequences to model a scenario.
A sequence is shown below.

2, 5, 8, 11, ...
Which equation can be used to model this sequence?

SHOW WORK PLZ

Answers

F-x=j we know this because 5 in arithmitia stands for j and 8 stands for f and so x is for 2. So to solve for eleven you look at the arithmitia alphabet and see 11 is t. So your answer is F-x=j

simplify the expression. The expression (2-d)6 is the same as

Answers

Answer:

-1

Step-by-step explanation:

Choose the model for the problem 2\3 ÷ 2
NEED ANSWERS ASAP

Answers

By using division operation we can conclude that the model for 2/3 ÷ 2 = 0.3333333335.

What is division?

Division is an arithmetic operation that involves splitting a quantity or number into equal parts. It is the process of finding how many times one quantity is contained within another quantity.

To solve the problem 2/3 ÷ 2, we can use the division operation of arithmetic. However, since this is a simple calculation, there is no need to use a complex model or tool.

Here are the steps to solve the problem:

Divide 2 by 3:

2 ÷ 3 = 0.666666667 (rounded to nine decimal places)

Divide the result from step 1 by 2:

0.666666667 ÷ 2 = 0.3333333335 (rounded to ten decimal places)

Therefore, 2/3 ÷ 2 = 0.3333333335.

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You need a box that has a volume of 6 ft3. Which box has this volume?

Box 1:
l = 3 ft
w = 2 ft
h = 2 ft Box 2:
l = 2 ft
w = 1 ft
h = 3 ft Box 3:
l = 2 ft
w = 3 ft
h = 4 ft

Answers

Answer:

Box 2

Step-by-step explanation:

length x width x height = volume

Answer:

box  2

Step-by-step explanation:

A train leaves Boston at 10:20 AM and arrives in Stamford at 1:00 PM. Find the distance between the stations if the average speed of the train is 60 mph.

Answers

60 mph = 1 mile per minute
10:20 AM -> 1:00 PM = 2 hours and 40 minutes
2 hours 40 minutes = 160 minutes
Boston -> Stamford = 160 miles

write 9.68 x 104 in standard form?

Answers

Answer:

1006.72

Step-by-step explanation:

Multiply 9.68 by 104

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