Which of the following could be the equation of the function below?
y=0.5cos(2(x-pi/2))+2 y=0.5cos(4(x+pi/2))-2 y=0.5cos(4(x+pi))+2 y=0.5cos(2(x-pi))-2

Answers

Answer 1

Answer:

D y=0.5cos(2(x-pi))-2

Step-by-step explanation:

Answer 2

The Equation of the function is y=0.5 cos (4(x+π/2))-2

The correct option is B.

As, y=a cos (b(x+c))+d

Here, y max=-1.5 and y min=-2.5

So, d=(max + min)/2

d=(-1.5+(-2.5))/2

d=(-1.5-2.5)/2

d=(-4.0)/2

d=-2.0

and, the horizontal axis is

y=-2

Then, y= a cos(b(x+c))+(-2)

y=a cos (b(x+c))-2

The amplitude (a) is

a = max-d = d- min

a=-1.5-(-2)=-2-(-2.5)

a=-1.5+2=-2+2.5

a=0.5.

We have the period is π/2

P=2π/b

π/2=2π/b

πb=4π

b=4

Now, y=0.5 cos (4(x+c))-2

Thus, the required function is y=0.5 cos (4(x+π/2))-2.

Learn more about Function here:

https://brainly.com/question/9682620

#SPJ7


Related Questions

Two of the statements are true; one is a lie.

Select the one that is a lie.
Then explain your reasoning.

The measure of ∠CAF is 25 degrees.
∠DAE ≌ ∠FAB.
∠BAF and ∠EAB are complementary.

Answers

Answer:

The statement "[tex]\angle BAF[/tex] and [tex]\angle EAB[/tex] are complimentary" is false.

Step-by-step explanation:

Complimentary angles are defined by angles that add up to [tex]90^{\circ}[/tex]. Angles BAF and EAB represent one side of a line, which is [tex]180^{\circ}[/tex]. Therefore, they are actually supplementary and not complimentary. Thus, the statement "[tex]\angle BAF[/tex] and [tex]\angle EAB[/tex] are complimentary" is false.

What is b<4 on a number line

Answers

Answer:

stay safe healthy and happy.

Answer:

(SEE ATTACHED PICTURE)

Step-by-step explanation:

You put a circle above the number used in the inequality.

The circle is closed if the inequality is greater than or equal to, or less than or equal to. This indicates that the number is included.

The circle is open if the inequality is greater than, or less than. This indicates that the number is not included.

The arrow goes to the left if it is less than, and to the right if it is greater than.

So, for your problem, an open circle goes about the number 4 and points left.

NEED HELP ON MATH TEST ASAP!! Will give BRAINLY

Must show work on all problems!!

Answers

18. Area Of triangle is a=1/2bh
a=1/2 17*6
a= 1/2 102
a= 51
Area of rectangle
a=bh
a= 17*12
a= 204
Now add both together which is 255 and should be the answer

Hey guys can you please help me?? Thank you!

Answers

The answer is 5 :)
44+51=95
180-95=85
85/17=5
answer: 5

Answer:

17x+44+51 = 180

x=5

Step-by-step explanation:

The angles in a triangle add to 180, so set up the equation by adding the measures of each angle on one side and putting 180 on the other side, then solve:

17x+44+51 = 180

17x+95=180

17x=85

x=85/17=5

Hope this helps :)

predict the next number in the table. cycle: 1,2,3,4,5. people told: 1,3,9,27,?​

Answers

The answer is 81 the right Column is multiplying by 3

Fitness can be measured by the rate of oxygen consumption during exercises with more fit people having higher rates. Unfortunately, this measurement is quite costly to obtain, and so an experiment was done to see if this measurement could be predicted from the time it takes (in minutes) to run 1500 m. The following computer output was obtained. Which of the following is NOT CORRECT?

a. For every additional minute it takes to run the 1500 m the estimated oxygen consumption rate decreases by 3.31.
b. The fitted regression line is approximately Y = 82.42(runtime)
c. A person who runs 1500 m in 10 minutes would have an estimated oxygen consumption rate of about 50.
d. There is good evidence that there is a relationship between oxygen consumption and the run time.
e. The slope is 82.42.

Answers

Answer:

b. The fitted regression line is approximately Y = 82.42(runtime)

Step-by-step explanation:

The regression line is Y=  aX + b

here b= 82.42   a = -3.31

Hence the regression equation is

Y= 82.42- 3.31 X

where x is the runtime and the slope  is given by b.

Option  a is correct because from the above equation we see that for every additional minute it takes to run the 1500 m the estimated oxygen consumption rate decreases by 3.31.

Option b is incorrect because the runtime is not given by Y it is given by X.

Option C is correct  as  

Y= 82.42-3.31*10

Y= 82.42-33.1

Y= 49.32  almost 50

Option d is also correct that the equation line shows a relationship between oxygen consumption and the run time.

Option e is also correct because the slope is given by b and b= 82.42

Angle Relationships

When solving for x, the sine of 44° is used. What other angle and trigonometric function could be used to solve for x?

a. tan 46°
b. cos 46°
c. tan 44°
d. cos 44°

Please select the best answer from choices provided

Answers

Answer:

B. cos 46°

Step-by-step explanation:

I calculated it logically

Answer:

b. cos 46

Step-by-step explanation:

There are three angles to choose from since there are three angles in a triangle. Of these, the 90° angle can't be used (90° angles don't work with trigonometric ratios), and neither can the 44° (we're told to use a different one from this), so we're left with the unmarked angle on the bottom right. Since the angles in a triangle add to 180, and the other two angles total 134 (90+44=134), we can say this angle is 46°.

Since cos46 is our only option that involves this angle (and since cos46=x/9), this is the option which could be used to find x.

It took lan three years to collect 25,413 aluminum cans to recycle. In the first year he collected 8,917 cans, and in the second year he collected 7.639 cans Which equation can be used to find x, the number of cans tan collected in the third year? A X = 25,413-8,917 - 7,639 B X = 25,413 +8,917 + 7,639 CX-8,917 +7,639 D 8,917-7,639​

Answers

Answers:

1. 24 cans/lb x 15,000 lb/trailer = 360,000 cans/trailer

2. Answer will depend on your price per can or per pound. For example, if price is 60 cents per pound: $0.60/lb x 15,000 lb = $9,000

3. 15,000 lbs/trailer / 30 lbs/collector = 500 can collectors/trailer

4. 15,000 lbs/trailer / 800 lbs/bale = 18 complete bales (and 3/4 of another bale)/trailer

5. 24 cans/lb x 800 lb/bale = 19,200 cans / bale

6. 100 bales/boxcar x 800 lbs/bale = 80,000 lb. cans / boxcar

7. 100 bales/boxcar x 19,200 cans/bale = 1,920,000 cans / boxcar

8. Answer will depend on your price per can or per pound. For example, if price is 60 cents per pound: $0.60/lb x 80,000 lb/boxcar = $48,000/boxcar

Pick the right one.

CAN SOMEONE PLEASE HELP ME :(

Answers

Answer:

Step-by-step explanation:

d

Help me with Perpendicular angles

Answers

Answer:

x = 50°

x = 70°

Step-by-step explanation:

A right angle is indicated by a small box.

The angles shown are right angles = 90° each. Therefore:

✔️x + 40° = 90°

Subtract 40° from each side

x = 90° - 40°

x = 50°

✔️x + 20° = 90°

Subtract 20° from each side

x = 90° - 20°

x = 70°

Find the surface area of the box with dimensions 125mm×64mm×84mm to the nearest mm?

Answers

Answer:

hi

Step-by-step explanation:

you should eat more sushi because it will help you digest food better! just letting you know to help you and make you feel healthy!

xoxo

Which data set would be numerical?

Eye color
Kinds of pets
Age
Favorite food

Answers

The answer would be age.

Write an equation of the circle with center (3,-2) and radius 11.

Answers

let h= 3, k=-2

radius (r) = 11 ,then

(x-h)^2 + ( y-k)^2 = r^2

(x-3)^2 + ( y+2)^2 = 11^2

x^2 -6x +9 + y^2 +4y +4 = 121

x^2 + y^2 - 6x +4y -108 = 0 is the required eq

what is 2/5 times 30 equal in simplets form

Answers

Answer:

2/5 times 30 equals 12.

Answer:Step-by-step explanation:

HELP ASAP will give you brainlist

Answers

Answer:

24

Step-by-step explanation:

sorry if incorrect

I think 24? I’m sorry if I’m wrong

ANSWER THIS ASAP NO FILE AT ATT!! THIS MY LAST QUESTION JUST GET IT RIGHT PLEASE

Answers

Answer:

I believe the answer is A

Answer:

A is your answer I think

Step-by-step explanation:

maybe wait for someone else to answer as well haha

What is the probability of choosing a gray button replacing it and choosing a gray button ?

Answers

the answer is that you get the same outcome

Q8 Find the missing angle x and measurement of JLK

Answers

Answer:

Step-by-step explanation:

we know ∠K is 90° by Thales theorem

then

180 = 90 + 4x-1 + 4x -5

96 = 8x

12 = x

x = 12

∠JLk = 4(12)-1

∠JLk = 47°

The braking ability of two types of automobiles was compared. Random samples of 64 auto mobiles were tested for each type. The recorded measurement was the distance required to stop when the brakes were applied at 40 miles per hour. The computed sample means and variances were as follows:
y¯¯¯1=118,y¯¯¯2=109 s21=102,s22=87
. Do the data provide sufficient evidence to indicate a difference in the mean stopping distances of the two types of automobiles? Give the attained significance level.

Answers

Answer:

The data provide sufficient evidence to indicate a difference in the mean stopping distances of the two types of automobiles

Step-by-step explanation:

Formulate the null and alternate hypothesis as

H0: u1= u2  against the claim Ha: u1≠ u2

The data given is

y`1=118,    y`2=109     s21=102,   s22=87

The test statistic used is t= y1`- y2`/ Sp√1/n1+ 1/n2

n1= n2= 64

And

Sp² = (n1-1) s12 + (n2-1) s22 / n1+n2-2

Sp² = 63*102+6*87/64+64-2

Sp² = 94.5

Sp= 9.7211

Putting the values in the test statistic

t= 118-108/9.7211√1/64+1/64

t= 5.237

Now finding the value of t at ∝=0.01 for two tailed test

t( 126,0.005)= ±2.6154

At alpha= 0.01  the null hypothesis is rejected.

Now finding the value of t at ∝=0.05 for two tailed test

t( 126,0.025)= ±1.979

Even at alpha= 0.05 the null hypothesis is rejected.

Also at alpha= 0.05 the null hypothesis is rejected because the critical value is  ±1.657

Hence it is concluded that the data provide sufficient evidence to indicate a difference in the mean stopping distances of the two types of automobiles

If 4 television weigh 160 pounds , How much do 5 of those television weigh.
Must show your work

Answers

Answer:

Step-by-step explanation:

640

Answer:

200 pounds

Step-by-step explanation:

We can write a proportion to represent the problem. Let's take x as the weight of 5 televisions. If we know that 4 televisions weigh 160 pounds we can write: 4/160. Then, 5 televisions will weigh x pounds which is 5/x. Now, we can set up a proportion: 4/160 = 5/x

Cross multiply to get: 4x = 800

Isolate x: x = 800/4

Solve: x = 200

200 pounds

Find the total surface area of the solid below. Round your answer to the nearest tenth.
x= 11.6, y = 6.3, and z = 15.5

Answers

Answer:

494.16 units²

Step-by-step explanation:

Total surface area of the solid = 4(area of a triangular face) + area of the square base

Area of a triangular face = ½*b*h

b = x = 11.6

h = z = 15.5

Area = ½*11.6*15.5 = 89.9 units²

Area of the four triangular faces = 4(89.9) = 359.6 units²

Area of the square base = s²

s = x = 11.6

Area = 11.6²

Area = 134.56 units²

✔️Total surface area of the solid = 359.6 + 134.56 = 494.16 units²

Find the slope between the pair of points (1,-3) and (2,3)

Answers

the answer is 6/1!!!!!!

Show the number of 76 at least 2 ways?​

Answers

76.000, 76, 76.0, 76.0000000, 76/1 (as a fraction)

Help me out with this please!

No links to websites other than Brainly.

Answers

Problem 1

Answers:

It costs 1.72 dollars to send a letter that is 1.5 ounces

It costs 1.72 dollars   to send a letter that is 2 ounces

In short, both answers are  1.72 dollars

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

Explanation:

The piecewise function may seem really ugly and complicated, and I can understand why many don't like them, but they aren't too bad once you get used to it.

A piecewise function is simply a collection of many functions glued together. Instead of listing four different functions, your teacher has combined them all into one super function of sorts.

Here are the rules for this function

If [tex]0 < w \le 1[/tex], then F(w) = 1.15If [tex]1 < w \le 2[/tex], then F(w) = 1.72If [tex]2 < w \le 3[/tex], then F(w) = 2.29If [tex]3 < w \le 3.5[/tex], then F(w) = 2.86

As you can see, the definition of F(w) will change depending on what w is.

If the weight is w = 1.5 ounces, then we're on the interval [tex]1 < w \le 2[/tex] since 1.5 is between 1 and 2. So we go for the second definition shown above and we conclude that it will cost $1.72 to send this 1.5 ounce letter.

If you wanted, you could rewrite those four bulleted points into this equivalent form

If [tex]0 < w \le 1[/tex], then the cost is $1.15 to send the letterIf [tex]1 < w \le 2[/tex], then the cost is $1.72 to send the letterIf [tex]2 < w \le 3[/tex], then the cost is $2.29 to send the letterIf [tex]2 < w \le 3.5[/tex], then the cost is $2.86 to send the letter

which is a less mathematical way of stating it. It might also help to make it into a chart, which would help customers better who may not want to deal with math.

A letter that's 2 ounces will cost $1.72 as well since w = 2 makes [tex]1 < w \le 2[/tex] true.

In short, both the 1.5 ounce and 2 ounce letters cost $1.72 each.

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

Problem 2

Answer: The graph is shown below (attached image)

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

Explanation:

We have what is called a step function, or a staircase function. Either name will work. The graph consists of the horizontal portion of the stairs, but the vertical parts of the stairs are not drawn (or else we wouldn't have a function due to the vertical line test).

Note the placement of the open and closed endpoints. An open endpoint excludes the value in question, while a closed endpoint includes the value.

For instance, we have an open endpoint at (1, 1.72) while there's a closed endpoint at (1, 1.15). Each closed endpoint is directly connected to the "or equal to" portion of the inequality sign, and each open endpoint does not have the "or equal to" portion.

As the graph shows, we basically have the a certain flat cost for the four different regions. This corresponds to the costs given in the piecewise function. Each height is drawn from the list {1.15, 1.72, 2.29, 2.86}

The point labels of A,B,C,D,E,F,G,H are optional. I only put them in there to help identify which endpoints are open or closed. Points on the left side of each segment, or horizontal stair component, are open endpoints. Points on the right side are closed endpoints.

A stores revenue is the function y = 150x where x is the number of items they sell. Its cost function is
y = 7x + 2200 where x is the number of items they sell. How many items do they have to sell to break-
even? Show how to solve this using inverses and not the table on your calculator.
NO LINKS TO FILES OR ANYTHING LIKE THAT.

Answers

9514 1404 393

Answer:

  about 15 or 16 items

Step-by-step explanation:

The break-even point is where revenue is equal to cost.

  150x = 7x +2200

  143x = 2200 . . . . . . . subtract 7x

  x ≈ 15.38 . . . . . . . . . . divide by 143 (multiply by the inverse of 143)

__

When 15 items are sold, revenue doesn't quite cover costs. Costs still exceed revenue by 55. When 16 items are sold, revenue exceeds costs by 95. (I would call this the break-even point, because I prefer a slight profit over a slight loss.)

Name the diagonal segment in the figure.

Answers

Answer: 1 is a quadrilateral. I’m very sorry I don’t know the second shape.

Step-by-step explanation: a quadrilateral has 4 sides and two triangles.

What is the result of performing these steps?
1. Draw a line segment with endpoints A and B. 2. Draw point Canywhere
above AB
3. Fold the paper through C so AB lies on top of itself.
4. Fold the paper through C so that the fold line from Step 3 lies on top of
itself.
5. Draw a line segment from C to any point along the second fold.

answer choices:
A. The perpendicular bisector of AB
B. A line segment perpendicular to AB
C. A line segment parallel to AB
D. A bisected angle

Answers

measure of a triangle side

The plumber charged Mrs. Evans $225.00 for materials and $35.00 an hour for labor to fix her leaky sink. The total bill came to $347.50. How many hours did it take the plumber to fix the sink?

Answers

Answer:

3.5 or 3[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

First, subtract. 347.50 - 225.00 = 122.50

Then, divide. 122.50 ÷ 35 = 3.5

Next, you can turn the decimal into a fraction 3[tex]\frac{1}{2}[/tex]

Lastly, have a wonderful day! :)

The ratio of parrots to cats in the pet store is 5 to 20. If there are 4 parrots
how many cats are there?
A. 16
B. 1
C. 20
D. 25

Answers

Answer:

A. 16

Step-by-step explanation:

Help plz no links unhelpful answers will get reported use formulas plz. I'm being gneerous

Answers

Answer:

what's the question?? I b.d ont get it

Other Questions
A stack of two hundred eighty cards is placed next to a ruler, and the height of stack is measured to be 7 8 inches. How thick is one card? please help me .............................. Help please ( with out links ). How long will it take an investment of $400 earning 3% annual interest compounded monthly to triple in value? Explain what is meant when it is said that "data vary". How does the variability affect the results of statistical analysis? Choose the correct answer below. A. Saying "data vary" means that examining different types of subjects will yield different data, such as examining a person and examining a car. Because data vary, it is impossible to compare different types of subjects, such as comparing people and cars. B. Saying "data vary" means that the values of the variable change every time they are observed. Because data vary, each statistical analysis of a given variable will lead to different results. C. Saying "data vary" means that the values of the variable change from individual to individual. In addition, certain variables can change over time for certain individuals. Because data vary, two different statistical analysis of the same variable can lead to different results. D. Saying "data vary" means that observations can be measured with fractions or decimals instead of only integers. Because data vary, it is important to make sure to accurately account for fractional observations. Pls pls help! I need it to bring my grade back up!! non examples for the word love What role did medieval knights have in feudalism?They protected nobles and their land.They protected serfs from their lords.They protected the king from nobles.They protected nobles from angry serfs. What was one significant result of the changes in manufacturing and transportation that took place in the first half of the nineteenth century?A. Many factory laborers left cities to work in far away rural areas due to improvements in transportation.B. Improved transportation led to the development of many new factories in the South and the West.C. People in cities often made more money as they took on skilled positions in manufacturing and transportation.D. Cities became overcrowded as more and more people traveled to the North, looking for factory work. How did steam technology affect other businesses of the Industrial Revolution? Unit TestComputer science4O Min.wer the following questions:What is meant by processing? When the two crews start working together, what part of all the garbage bins will the first garbage truck empty Miguel y Esteban eran amigos. Iban juntos a la escuelay vivan en la misma calle. Miguel era un nio muy bueno,pero Esteban era arrogante y malcriado. Se crea msgrande y fuerte que los dems. Siempre ofenda a suscompaeros. "Tontos!", les deca riendo, si los veacometer un error. Casi nadie soportaba jugar conUn da, fueron juntos a pasear al campo. Esteban quisoapostar a quin ganaba una carrera hasta un flamboynmuy bonito que haba por all.- A que pierdes! -grit, y tan pronto lo dijo, salidisparado como una flecha sin esperar a Miguel. Cuandolleg al florido rbol, su pobre amigo todava vena muylejos. Decidi acostarse bajo el rbol y hacerse el dormido.Quera burlarse de Miguel cuando llegara, dicindole as:- Qu lento y flojo eres! Hasta me qued dormidoesperndote.Cules son los adjetivos de este cuento x=-2Plz I need it plz I need major help with triangle congruence!State the reason as SSS,SAS,ASA,AAS or HL20 points identify the y-intercept of y=-4x (0, -4)(0,0)there isn't one (0,1) pleas help a lot of points Why did winning the northern states mean Lincoln would have the most electoral college votes? Hello! Would appreciate some help. :)Given this number line, CD=? Suppose we have two thermometers. One thermometer is very precise but is delicate and heavy (X). We have another thermometer that is much cheaper and lighter, but of unknown precision (Y). We would like to know if we can (reliably) bring the lighter thermometer with us into the field. So, we set up an experiment where we expose both thermometers to 31 different temperatures and measure the temperature with each. We get the following observations x = 0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120 y = 0.02, 3.99, 7.91, 12.03, 16.09, 20.00, 23.98, 28.09, 31.94, 36.03, 40.00, 44.05, 47.95, 52.00, 55.87, 59.90, 63.91, 67.95, 72.11, 76.02, 80.01, 84.10, 88.06, 91.74, 96.02, 99.95, 103.87, 108.01, 111.99, 116.04, 120.03 We want to decide if these thermometers seem to be measuring the same temperatures. Let's use the thershold = 0.1. Required:Write down the appropriate hypothesis tests for 1.