Mathematics High School

What is the domain of y = cos θ?
A. [-1, 1]
B. [0, infinity]
C. All real numbers
D. 2pi,

Answers

Answer 1
The domain of y = cos θ is all real numbers. This is because any real number can be plugged in for θ and y will be equal to a real number. This can be shown graphically because the y = cos θ will go on infinitely both to the right and left.
Answer 2

Answer:

Option C - All real numbers                                      

Step-by-step explanation:

Given : Function [tex]y=\cos \theta[/tex]

To find : The domain of given function ?

Solution :

Domain is defined as the set of values for which function is defined.

We have given the function,

[tex]y=\cos \theta[/tex]

We know, for any value of [tex]\theta[/tex] the function  [tex]y=\cos \theta[/tex] is defined.

Which means the set of all real numbers defined the given function i.e. [tex]x\in(-\infty,\infty)[/tex]

Therefore, Option C is correct.

The domain of  [tex]y=\cos \theta[/tex] is all real numbers.

Related Questions

5. Write a conditional statement. Write the converse, inverse and contrapositive for your statement and determine the truth value of each. If a statement’s truth value is false, give a counterexample.

Answers

Conditional Statement: If it is a beagle, it is a dog.
Converse: If it is a dog, it is a beagle. This is a false statement, since a dog can be any other breed (ex. Pomeranian).
Inverse: If it is not a beagle, it is not a dog. Again a false statement, since if it is a different breed, it is a dog despite not being a beagle. For example, it could be a Pomeranian.
Contrapositive: If it not a dog, it is not a beagle. This is true, since if something is not a dog, it won't be any particular breed of dog either (and it won't be a beagle).

what is the measure of AC?

Answers

we know that
The inscribed angle measures half of the arc it comprises
∠ABC=mAC/2
so
mAC=2*∠ABC
mAC=2*75°
mAC=150°

the answer is mAC=150°

A parabola has two x intercepts at (-2 , 0) and (3 , 0) and passes through the point (5 , 10). Find the equation of this parabola.

Answers

y = a(x + 2)(x - 3) : equation of the parabola in factored form 10 = a(5 + 2)(5 - 2) : (5 , 10) is a point on the graph of the parabola and therefore satisfies the equation of the parabola. a = 5/7: solve the above equation for a.

A recipe calls for 1 1/2 cups of sugar. Alexis only has measuring cups that measuring cups that measure 1/4 cup. how many times will alexis have to fill the measuring cup?

Answers

Change 1 1/2 into improper faction

1 1/2 = 3/2

Change 3/2 to quarters

3/2 = 6/4

1 measure cups = 1/4 cup

To get 6/4 cups 
6/4 ÷ 1/4 = 6/4 x 4/1 = 6 

He needs to fill in 6 times

Line AB intersects line DF. Which statement shows that the two lines are perpendicular?

Line AB and line DF are on the same plane.
Line AB and line DF intersect only once.
Line AB and line DF intersect at a 90° angle.
Line AB and line DF intersect at a 180° angle.

Answers

Answer:
Line AB and line AD intersect at a 90° angle

Explanation:
Two lines are said to be perpendicular if the angle between the two lines is 90 degrees.
If the angle between the two lines is 180, the two lines are said to be supplementary angles
The first and second options do not imply that the lines are perpendicular as the angle formed between them could be less or more that 90°.

Hope this helps :)

What is the greatest common factor of 62 and 82? Use prime factorization solve.

Answers

62=2×31
82=2×41
so the answer is 2

For the rational equation, x^2+5x+6/x+3=1 , what is a valid value of x?.

Answers

the correct answer is -1.

Answer:

B. -1

Step-by-step explanation:

We have the equation, [tex]\frac{x^{2}+5x+6}{x+3}=1[/tex].

Now, factorizing the polynomial [tex]x^{2}+5x+6[/tex], we get that the factors of the polynomial are (x+3) and (x+2).

So, we get,

[tex]\frac{x^{2}+5x+6}{x+3}=1[/tex]

i.e. [tex]\frac{(x+3)(x+2)}{x+3}=1[/tex]

i.e. x + 2 = 1

i.e. x = -1.

Hence, we get that the value of x is -1.

Jeffrey has 12 friends. He wants to give each friend 3 stickers. Which equation can be used to find how many stickers Jeffrey will need?

Answers

An equation that could be used is 12/3. Or 12 over 3. (The bar, or fraction bar means divide.) He can divide 3 by 12. His answer is 4.

Express 18.48 ( 48 bar) in the form of p/q where p and q are integers and q is not equal to 0.

Answers

Let the number be x
100x=1848.48. (1)
x=18.48. (2)
subtract 2 from 1

99x=1830.00
x=1830/99


We have to express [tex] 18.\bar{48} [/tex] in the form of [tex] \frac{p}{q} [/tex] where p and q are integers and q is not equal to zero.

Let x = [tex] 18.\bar{48} [/tex]

Multiplying the given equation by 100, we get

[tex] 100x = 1848.48484848... [/tex]

[tex] 100x = 1830+ 18.48484848... [/tex]

[tex] 100x = 1830+ 18.\bar{48} [/tex]

[tex] 100x = 1830+ x [/tex]

[tex] 99x=1830 [/tex]

[tex] x=\frac{1830}{99} [/tex]

Therefore, [tex] 18.\bar{48} [/tex] is represented as [tex] x=\frac{1830}{99} [/tex] in the form of [tex] \frac{p}{q} [/tex]

Match each angle measure in degrees with its equivalent measure in radians

Answers

To convert angle from radian measure to degree measure, multiply it by 180/π.

So,
a) 5π/4 in degree measure will be:

[tex] \frac{5 \pi }{4}* \frac{180}{ \pi } = 225[/tex]

So, 5π/4 radian is equal to 225°.

b) 9π/5 in degree measure will be:

[tex] \frac{9 \pi }{5}* \frac{180}{ \pi } = 324 [/tex]

So, 9π/5 radian is equal to 324°.

c) 2π/3 in degree measure will be:

[tex] \frac{2 \pi }{3}* \frac{180}{ \pi } = 120[/tex]

So, 2π/3 radian is equal to 120°.

d) 4π/9 in degree measure will be:

[tex] \frac{4 \pi }{9}* \frac{180}{ \pi } = 80[/tex]

So, 4π/9 radian is equal to 80°.

e) 5π/6 in degree measure will be:

[tex] \frac{5 \pi }{6}* \frac{180}{ \pi } = 150[/tex]

So, 5π/6 radian is equal to 150°.

f) 7π/4 in degree measure will be:

[tex] \frac{7 \pi }{4}* \frac{180}{ \pi } = 315[/tex]

So, 7π/4 radian is equal to 315°.

Answer:

Hm..

Step-by-step explanation:

HELLO

could anyone PLEASE help me??

Id appreciate it!!!!!

Answers

Hello! 1,000 points are needed to go to a water park, and 424 points are already added, with 9 more games. An equation that would help find the average number of points is 9x + 424 = 1,000.

How to solve it:

Okay. So first off, lets subtract 424 from both sides. 424 - 424 cancels out. 1,000 - 424 is 576. That makes 9x = 576. Now, divide each side by 9 to isolate the c. 9x/9 cancels out. 576/9 is 64. There. x = 64. The team will need to score an average of 64 points in their remaining games in order to reach their goal.

What is the vertex of the graph of y = x2 + 4x?
(–2, –12)
(–2, –8)
(–2, –6)
(–2, –4)

Answers

the answer is (-2,-4)

Answer:

(-2, -4)

Step-by-step explanation:

Let's remember how to calculate the vertex of a parabola:

If we have the equation of the parabola given in the form y = ax^2 + bx + c, the x-coordinate of the vertex is x = -b/2a. For the y-coordinate we just replace the x of the equation with -b/2a and do the calculation.

In this case, a = 1, b = 4, c = 0.

The x-coordinate of the vertex is x = -4/2*1 = -2

The y-coordinate is y = (-2) ^2 + 4*(-2) = 4 - 8 = -4

Therefore, the vertex is (-2, -4)

The right triangle ABC shown below is inscribed inside a parabola. Point B is also the maximum point of the parabola (vertex) and point C is the x intercept of the parabola. If the equation of the parabola is given by y = -x2 + 4x + C, find C so that the area of the triangle ABC is equal to 32 square units.

Answers

h = -b / 2a = 2 : x coordinate of the vertex of the parabola k = -(2)2 + 4(2) + C = 4 + C : y coordinate of vertex x = (2 + √(4 + C)) , x = (2 - √(4 + C)) : the two x intercepts of the parabola. length of BA = k = 4 + C length of AC = 2 + √(4 + C) - 2 = √(4 + C) area = (1/2)BA * AC = (1/2) (4 + C) * √(4 + C) (1/2) (4 + C) * √(4 + C) = 32 : area is equal to 32 C = 12 : solve above for C.

JL is a diameter of circle K. if tangents to circle K are construvted through points L and J, what relationship would exist between the two tangents? explian

Answers

check the picture below.

notice, the left-hand-side of the picture is the tangents segment theorem, both tangents are the same length and the point of tangency, in red, is always a right-angle, however note that they're touching a radius segment, not a diameter one, and the radii lines are slanted some.

notice the right-hand-side of the picture, the points of tangency at J and L are right-angles, and the two tangents at those points, will simply be parallel, and never touch each other.

PLEASE HELP ME ON THIS

Answers

it's B the second one
the answer is 
8x+12y<96
x+y>10

Nikola buys a bouquet of 8 sunflowers for 18$. What is the cost for 1 sunflower.

Answers

The cost for 1 sunflower would be $2.25. We can figure this out by doing the expression $18 divided by 8 which gives up $2.25.
I hope this helped! :-)

A school baseball team earned $3416.90 from selling 5716 tickets to their game. If grandstand tickets sold for 65 cents each and bleacher tickets sold for 40 cents each, how many of the bleacher tickets were sold? Answer: bleacher tickets

Answers

Let g and b represent the numbers of grandstand and bleacher tickets sold... g + b = 5716 . . . . . . . . . total number of tickets sold.. 65g +40b = 341690 . . value of tickets sold
Using the first equation.. g = 5716 -bSustituting into the second equation.. 65(5716 -b) +40b = 341690.. -25b + 371540 = 341690 . . . . . collect terms.. -25b = -29850 . . . . . . . . . . . . . . subtract 371540.. b = 1194 . . . . . . . . . . . . . . . . . . . . divide by -25

Please help ASAP!! Super appreciated!!! <3

Answers

The data is not linear. From (3, 1) to (7, 2), we add 4 to the x-value and add 1 to the y-value. This pattern continues for a little while, however, from (11, 3) to (18, 5), we add only 7 to the x-value even though we added 2 to the y-value. Given this information, we can determine that this is not linear data.

So I need help in geometry

Answers

cos 24 = 11/x
so 
x = 11/cos 24
x = 11 / 0.9
x = 12.2

answer
x = 12.2

Which shows the relationship between work input and work output? A. input force × input distance > output force × output distance B. input force × input distance < output force × output distance C. input force × input distance = output force × output distance

Answers

input force x input distance > output force x output distance is your answer so A.

Answer:

The correct answer is A

I got it right on my quiz


Please help with 1 question thank you!

Answers

after rotating 180 degrees it would be Line ON

Yulia estimates college tuition and fees, room and board, books, and other charges total $15,350. She will receive a $1500 scholarship. If she has 4 years to save, how much should Yulia save per month to cover the costs of college (minus the scholarship)? A. $288.54 B. $319.79 C. $3462.50 D. $3837.50

Answers

We know the the total cost of Yulia's college education is $15,350. We also know that she will receive a $1500 scholarship, so she will have to pay [tex]15350-1500=13850[/tex]$. A year has 12 months, so 4 years have [tex]4(12)=48[/tex] months.
Now to find how much she will need to save each month, we are going to divide the total cost of her college education by 48 months:
[tex] \frac{13850}{48} =288.54[/tex]

We can conclude that Yulia will have to save $288.54 per month to cover the costs of her college education. Therefore, the correct answer is: A. $288.54 

can someone check my answers?
simplify the following expression
21(x-4)+2
A.21x=2 my answer
B. 107x
C. 21x-82
D. 27x

solve the following expression 5x-102=13
A. 23 my answer
B. -23
C. -17.8
D. 17.8

solve the following equation 2x-31=3(x+2)
A. 37
B.-37 my answer
C. 5
D. 37/5

find the range of the function f(x)=4x=1 for the domain (-1,0,1,2,3)

A. -5,-3,0,7,11 my answer

find the slope of the graph 9x-3y=15
A: -3
B.3 my answer
C. -1/3
D.1/3

if i got it wrong walk me through it and we will figure it out together:) @Nnesha @jim_thompson5910

Answers

1. 21(x-4)+2 = 21x - 84 + 2 = 21x - 82 (C is the correct answer) 
2. 5x-102 = 13; 5x = 115; x = 115/5; x = 23 (A is the correct answer)
 3. 2x-31=3(x+2); 2x-31=3x+6; -x=37; x=-37 (B is the correct answer)
 4. Correct answer is (-5, -1, 3, 7, 11). When each of the X values is put in the equation for Y, i.e. 4x-1. Thus: 4*(-1)-1=-5; 4*0-1=-1; 4*1-1=3; 4*2-1=7; 4*3-
1=11
 5. Slope is 3. y=3x-5

Gretchen's gross annual salary is $57,852 what is the maximum amount of rent she can afford to pay

Answers

Answer: Varies depending on the percent that you use.

To find the amount that you should spend on rent, you simply multiply your total annual salary by the recommend percent. Use the one that you were given.

A common percent is 30%.

So you would do the following problem if you were using 30%.
0.30 x 57852 = $17,355.6.


Rent should be no more than 28% of a person's gross monthly income. Divide the annual salary by 12 and multiply the quotient by 0.28.

Answer is $1350

which equation describes the same line as y-3=-1(x+5)?
A. y=-1x+8
B. y=-1x-2
C. y=-1x-1
D. y=-1x-5

Answers

y-3 = -1 (x+5)
y-3 = -x-5
y = -x-5+3
y = -x-2

B

Select the following series as arithmetic, geometric, or neither. 1 + 2 + 3 + 4 + . . . + 10

Answers

The series is an arithmetic series.

The progression has a common difference of 1. You can tell because it involves a plus sign, which is indicative of an arithmetic progression,

A geometric progression would include multiplying the numbers by a certain amount. For example:
1, 3, 9, 27 ... 243
In this series, you multiply the numbers by three to get your answer.

The following series is an arithmetic series. Because the progressive term has a difference of 1.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

The given equation is;

1 + 2 + 3 + 4 + . . . + 10

The series is arithmetic in nature. The typical difference in the progression is 1. Because it has a plus sign, which indicates an arithmetic progression.

Hence, the following series is an arithmetic series.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ2

George has 2 times the amount of points that is 4 less than his sister’s. His sister has 16 points. How many points does George have?
What operations are needed to solve this word problem, and in what order should they be used?

addition and subtraction, in that order
addition and multiplication, in that order
subtraction and division, in that order
subtraction and multiplication, in that order

Answers

If we take the amount of points to be x before doing any operations on it ,
george has 2 times points of x 
however x is 4 points less than sisters points which is 16 points 
Then we subtract 4 from 16 = 12
12 is equal to x and george has twice of x 
Therefore we first subtract 4 from 16 and then multiply  it by 2, thats 12*2 = 24 
therefore george has 24 points 
the operations are subtraction and multiplication in order 

helpppppppppppppppppppppppppp

Answers

A. First notice that the function is moved up by two units from the origin, not four, so the answer must be in A, B, and D. Also notice that the period of the function is pi instead of 2pi, so the coefficient before x is 2pi/pi=2, so eliminate B. The function is opposite of original sin function, so there's a negative sign in front of the expression. The answer is A.

The solution to the equation x + 4.5 = 9.2 is x = 4.7.
True or false

Solve the equation. b + 2.9 = 8.7
b = 3
b = -5.8
b = 11.6
b = 5.8

Solve the equation. 2.5 + a = 8.7
a = 6.2
a = .2
a = -6.2
a = 3.48

Answers

The first one is True. The second one is 5.8. The last one is 6.2

The First One Is True Then The Next One Is A.B=3 And The Last One Is D.A=3.48








             Hope It Helps And PLEASE MARK ME THE BRAINLYEST

Using complete sentences, explain the key features of the graph of the sine function.

Answers

check the picture below.
Other Questions
The point (a, b) lies on the line with the equation 3x + 2y = 12. When a = 4, what is the value of b? About what percent of arson fires are set by individuals under 18? less than one percent twenty percent fifty percent eighty percent criminology Please help! 15 points! Btw, you cannot answer in the file.....that's just a pic..... How many teeth are found in pan troglodytes maxilla? How much is in the account after year 6 ?? Can u solve for me because this is confusing and I dont get the e If 4.0 g of O2(g) and 4.0 g of He(g) are placed in a 5.0-L vessel at 65 C, what will be the partial pressure of each gas and the total pressure in the vessel?, Which is not an adaptation of desert animals that help them retain and acquire water in such a hot and dry environment?a. burrow in moist soil or live in underground densb. excrete uric acid instead of urinec. evolved an internal air conditioning' system to help them stay coold. obtain water from the plants and animals they eat please select the best answer from the choices provided? Miss Penny inherits $720.She decides to save some of the money and spend the rest.The ratio of savings to spending money is 5:4How much does she save and how much does she spend?Savings : Spending Money :^^ answer ASAP!! Which of these BEST explains why the United Kingdom is considered a representative government?A)People have their rights guaranteed.B)It is where the Magna Carta was signed in 1215.C)Members of the British Parliament are chosen by citizens.D)The monarch is limited in power by a national constitution. The students at a school assembly were divided into 4 equal groups. There were 63 students in each group. Write and solve an equation to determine the number of students that were at the assembly. use x as the variable. equation _______ _______students Help pleaseWater is a compound because it (1 point) can be broken down into simpler substances. always has two hydrogen atoms for each oxygen atom. is made of water atoms joined together. both a and bWhich of the following is a heterogeneous mixture? (1 point) water in a swimming pool sugar water a jar of mixed nuts stainless steel, How do u solve b+2.25=1 Who is the subject of the text? One of Ethiopias greatest rulers, he expanded the empire almost to its present-day borders, repelled an Italian invasion in 1896, and carried out a wide-ranging program of modernization." A.Haile Selassie B.Menelik II C.Samori Tour D.Shaka what is a component of a phospholipid How did bonaza farms make it difficult for small farmers to compete in the l ate 19th century? A rectangular deck is 12 ft by 14 ft. When the length and width are increased by the same amount very becomes 280 squares ft. By how much were the dimensions increased ? select the locations on the number line to plot the points _2 _11 and _17 Which of the following statements about culture is not true?Culture can exist in a classroom.Culture is genetic.Culture is learned.Culture can exist in a family. 1.Parents can do very little to encourage brain development in their children. True or False?2.Once a child has reached the age of ten, their brains begin to reduce some of the connections between brain cells. True or False?3.Assistive technology can help children remain in regular classrooms or communicate with parents and friends. True or False?4.Infants are born with some connections between brain cells. True or False??