Use complete sentences to describe the domain of the cosine function

Answers

Answer 1

The domain of a function is the complete set of possible values of the independent variable.

The cosine function is represented by the expression: y=cos(x), where "x" is the independent function, and "y" the dependent function. So the domain comes to be all the values that "x" can take.

The domain of the cosine function is all the real numbers. All this can be verified by looking at its graph (attached)

Use Complete Sentences To Describe The Domain Of The Cosine Function

Related Questions

Which of the following statistical measures is least appropriate for describing the data set shown below?

1, 5, 5, 5, 6, 6.5, 7, 30
a mode
b mean
c median

Answers

mean is the answer nnnnnnnnn

Answer: choice a, the mean

Step-by-step explanation:

A fresh fruit distributor claims that only 4% of his Macintosh apples are bruised. A buyer for a grocery store chain suspects that the true proportion p is higher than that. She takes a random sample of 30 apples to test the null hypothesis H0: p = 0.04 against the alternative hypothesis Ha: p > 0.04. Which of the following statements about conditions for performing a one-sample z test for the population is correct?


a
We can’t determine if the conditions have been met until we have the sample proportion, p hat .
b
The test cannot be performed because the Random condition has not been met.
c
All conditions for performing the test have been met.
d
The test cannot be performed because the Large Counts condition has not been met.

Answers

Final answer:

The correct statement about the conditions for performing a one-sample z test for the population is that we can't determine if the conditions have been met until we have the sample proportion, p hat.

Explanation:

The correct statement about the conditions for performing a one-sample z test for the population is:

a. We can’t determine if the conditions have been met until we have the sample proportion, p hat.

When performing a hypothesis test of a single population proportion, the conditions for a binomial distribution need to be met. These conditions include a certain number of independent trials, success or failure outcomes, and each trial having the same probability of success. In addition, the shape of the binomial distribution should be similar to the shape of a normal distribution, which is ensured when np and nq are both greater than five. Therefore, the conditions cannot be definitively determined until the sample proportion, p hat, is known.

The Large Counts condition is met (np >= 10, n(1-p) >= 10), allowing the z-test. Other conditions are satisfied, validating the test.

Therefore, the correct answer is: **d. The test cannot be performed because the Large Counts condition has not been met.**

To perform a one-sample z-test for the population proportion, we need to check certain conditions:

1. **Random Sample**: The sample should be chosen randomly from the population to ensure that it is representative.

2. **Normality of Population**: There are two criteria for this condition:

  - If the population distribution is approximately normal, we can proceed.

  - If the population distribution is not normal, the sample size should be large enough (n x p >= 10 and n x (1-p) >= 10) to ensure that the sampling distribution of the sample proportion is approximately normal by the Central Limit Theorem.

3. **Independence**: Each observation in the sample should be independent of the others.

Given:

- Sample size (n) = 30

- Population proportion (p) = 0.04

We need to check if these conditions are met.

a. **We can’t determine if the conditions have been met until we have the sample proportion, p hat.**

  - This statement is incorrect because we can still check the conditions without knowing the sample proportion.

b. **The test cannot be performed because the Random condition has not been met.**

  - This statement is incorrect because the problem states that the buyer took a random sample of 30 apples, so the Random condition has been met.

c. **All conditions for performing the test have been met.**

  - This statement is incorrect because we haven't checked the Large Counts condition yet.

d. **The test cannot be performed because the Large Counts condition has not been met.**

  - To check the Large Counts condition, we need to verify whether the sample size is large enough to ensure that the sampling distribution of the sample proportion is approximately normal.

  - The Large Counts condition is met if both np >= 10 and n(1-p) >= 10.

  - Here, n = 30 and p = 0.04

  - np = 30 x 0.04 = 1.2

  - n(1-p) = 30 x (1 - 0.04) = 28.8

  - Both np and n(1-p) are greater than or equal to 10.

  - So, the Large Counts condition is met.

Therefore, the correct answer is: **d. The test cannot be performed because the Large Counts condition has not been met.**

Evaluate a - ab + b if a = -2 and b = 4. Show your work.

Answers

Answer:

14

Step-by-step explanation:

a = -2

b = 4

a - ab + b

= (-2) - (-2)(4) + (4)

= -2 - (-8) + 4

= -2 + 8 + 4

= 14

Answer:

10

Step-by-step explanation:

[tex]a=-2 \\ \\ b=4 \\ \\ a-ab+b \\ \\ -2-(-2)(4)+4 \\ \\ -2-(-8)+4 \\ \\ -2+8+4 \\ \\ -2+12 \\ \\ 10[/tex]

7. Marco is making beaded bracelets. Each
bracelet will have the exact same number
of red and blue beads. If red beads come in
packs of 8 and and blue beads come in
packs of 6, what is the least number of
beads of each color Marco can buy to have
equal colors of beads?​

Answers

One way to find the least common multiple of two numbers is to first list the prime factors of each number.

8 = 2 x 2 x 2

Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

2: three occurrences

3: one occurrence

So, our LCM should be

2 x 2 x 2 x 3 = 24.

So, Marco can buy, at the very least, 24 beads of each color to have equal colors of beads.

Can someone help like quickly I have to submit this in ten minutes.

Answers

Answer:

c:188.1 gal

Step-by-step explanation:

Baisically, you have to start by finding the volume of the pool. You multiply length*width*height(deepness).

3.8*5.5*1.2=25.08 ft^3

To convert from ft to gallons, we have to multiply by 7.5

25.08*7.5=188.1 gal

Plot the points p(-4,2), Q(0,4),?and R(2,5) on a coordinate plane

Answers

hence it forms a straight line

Answer: you line is a straight line, is a positive line.

Step-by-step explanation: you rise/run which mean that you have to use (x,y) in the coordinate plane you plug in p)-4 down &  2 up, then you plug in Q) which is 0 is in your original in you go up 4 in you y-axis & then you plug in R) you run 2 & go up 5

the game of chance has a spinner with five equal sized sections the results of 625 spins are shown below color orange 118 ,purple 137, Brown 122 ,yellow 106, green 142. for which color is experimental probability closest to the theoretical probability explained​

Answers

Answer:

Brown.

Step-by-step explanation:

Theoretical probability for each:

 625

   5

= 125

122 is closest to 125. Therefore Brown has the closest experimental probability to it's theoretical probability.

For brown, the experimental probability is closest to the theoretical probability.

What is the theoretical probability?

We assume that in the ideal case, all the 5 colors have the same probability of being the outcome. Then the probability for each color will be:

P = 1/5 = 0.20

We need to see for which color the experimental probability is closest to 0.20.

The experimental probability will be given by the quotient between the number of times that each color appears and the total number of spins, so we have:

Orange: P = 118/625 = 0.1888Purple: P = 137/625 = 0.2192Brown: P = 122/625 = 0.1952Yellow: P = 106/625 = 1.696Green: P = 142/625 = 0.2272

As you can see, the closest one to 0.2 is Brown, so for Brown, the experimental probability is closest to the theoretical probability.

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

Iterations question please help

Answers

Answer:

option d

{ 4, 8 , 16 , 32 }

Step-by-step explanation:

Given in the question a function

f(x) = 2x

initial value[tex]x_{0}[/tex]=2

First iteration

f(2) = 2(2)

     = 4

[tex]x_{1}=4[/tex]

Second iteration

f(4) = 2(4)

     = 8

[tex]x_{2)=8[/tex]

Third iteration

f(8) = 2(8)

     = 16

[tex]x_{3)=16[/tex]

fourth iteration

f(8) = 2(16)

     = 32

[tex]x_{4}=32[/tex]

If a line segment contains one endpoint at (2,3) and has a midpoint of (-2,6) what is the second endpoint of the line segment

Answers

Answer:

Step-by-step explanation:

The coordinates of the midpoint M are the average of the coordinates of the two endpoints:

[tex]M_x = \dfrac{2+x}{2},\quad M_y = \dfrac{3+y}{2}[/tex]

Plug the known coordinates of the midpoint:

[tex]-2 = \dfrac{2+x}{2},\quad 6 = \dfrac{3+y}{2}[/tex]

Solve for x and y:

[tex]-4 = 2+x,\quad 12 = 3+y[/tex]

[tex]x=-6,\quad y = 9[/tex]

How do I solve
[tex] \sin( a ) = .8325[/tex]

It says "Round to the nearest tenth."​

Answers

Answer:

[tex]a=56.4\degree[/tex]

Step-by-step explanation:

Let [tex]a[/tex] be an acute angle.

To solve: [tex]\sin(a)=0.8325[/tex], we take the sine inverse of both sides to obtain:

[tex]\sin^{-1}(\sin(a))=\sin^{-1}(0.8325)[/tex]

Recall  composition property of a function and its inverse function.

[tex]f^{-1}(f(x))=x[/tex]

We apply this property to the left hand side to obtain;

[tex]a=\sin^{-1}(0.8325)[/tex]

We now use our scientific calculator to obtain;

[tex]a=56.3564115\degree[/tex]

We round to the nearest tenth to obtain;

[tex]a=56.4\degree[/tex]

what is the value of y when x=3 in this equation y=2x+2

Answers

Answer:

8

Step-by-step explanation:

if you substitute 3 for x the equation becomes y=2(3) + 2

using order of operations you multiply 3 by 2 and then add 2 which will give you 8

Identify the geometric mean of 1/3 and 1/27.

Answers

Answer:

1/9

Step-by-step explanation:

To find the geometric mean of two numbers,  multiply them together, then take the square root

G.M = sqrt( 1/3 * 1/27)

        = sqrt(1/81)

       = 1/9

The width of a poster is 20 inches less than its length, x. Express the number of inches in the width of the poster in terms of its length, x

Answers

X-20 because x is the width and the length is x-20

if (-3,y) lies on the graph of y= y=(1/4)^x, then y =​

Answers

[tex]\bf (~~\stackrel{\stackrel{x}{\downarrow }}{-3}~~,~~ y~~)\qquad \qquad y=\left( \cfrac{1}{4} \right)^x\implies y=\left( \cfrac{1}{4} \right)^{-3}\implies y=\left( \cfrac{4}{1} \right)^{3} \\\\\\ y=4^3\implies y=64[/tex]

Final answer:

To find the value of y for the point (-3, y) on the function y = (1/4)^x, you substitute x with -3 and calculate y = (1/4)^(-3) = 1/64.

Explanation:

To find the value of y when the point (-3, y) lies on the graph of the function y = (1/4)^x, we need to substitute x with -3 in the given function.

So, we have y = (1/4)^(-3).

Now we find the value of y by calculating the inverse of 4 cubed, which will be:

y = 1/(4^3) = 1/64.

Therefore, y = 1/64.

2. Shakia has five days to read a 200-page book. If she wants to
read the same number of pages each day, how many pages
should she read each day?
Estimate Jira ordered a book for $6.99, a dictionary for $8.99, a
set of maps for $5.99. Estimate the price for all three items. Then f
the actual price.
Patrick practiced the harmonica for 7 weeks before his recital. How
many days are equal to 7 weeks?
One third of the books were placed on the first shelf. What fraction
the books were not placed on the first shelf ?
Represent To what decimal number is the arrow pointing? Wha
mixed number is this?

Answers

Answer:

Shakia will read 40 pages each day.

Step-by-step explanation:

To find out how many pages Shakia should read each day, you have to divided 200 by 5, and you will get an answer of 40 pages.

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

Answer:

The estimate price for all three items is $22.00.

The actual price would be $21.97.

Step-by-step explanation:

To find the estimate price, just round each price to the nearest whole number, so $6.99 → $7.00, $8.99 → $9.00, and $5.99 → $6.00. Add them all together and you'll get $22.00.

To find the actual price without estimating, simply add $6.99 + $8.99 + $5.99, and the answer is $21.97.

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

Answer:

49 days are equal to 7 weeks.

Step-by-step explanation:

Since there are 7 days in 1 week, and you want to find out how many days are in 7 weeks, you just multiply 7 x 7 and get 49 days.

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

Answer:

2/3 of the books were not placed on the first shelf.

Step-by-step explanation:

All you have to do to answer this problem is subtract 3/3 - 1/3 and you'll find out how many books are not placed on the first shelf.

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

In order to solve the last problem, I need more information.

Can someone please explain the steps
(: (: please really need help

Answers

Answer:

x = 128

Step-by-step explanation:

x and 128 are vertical angles

Vertical angles are equal

x = 128

Hi your answer is 128

when the exponent blank is applied to a nonzero base, the result is always 1

Answers

Answer:

zero (0)

when the exponent 0 is applied to a nonzero base, the result is always 1

Step-by-step explanation:

Acoording to the zero power rule, a non zero number raised to the power 0 is always 1:

[tex]a^{0} =1[/tex] whit [tex]a=0[/tex]

Let's check this property using an example:

We know that a quantity over itself is always 1:  [tex]\frac{2}{2} =1[/tex]

We also know that a base without exponent is always raised to the power 1: [tex]2=2^{1}[/tex]

Now, according to the division power rule [tex]\frac{a^{m} }{a^{n}} =a^{m-n}[/tex], so [tex]\frac{2}{2} =\frac{2^{1} }{2^{1} } =2^{1-1} =2^{0} =1[/tex]

Help plz
In △ABC m∠CAB = 40° and m∠ABC = 60°. Circle, going through points A and C, intersects sides AB and BC in points D and E respectively. Find all angles in quadrilateral ACED.

Answers

Answer:

m∠A=40°, m∠C=80°, m∠E=140°, m∠D=100°.

Step-by-step explanation:

Quadrilateral ACED is inscribed into the circle (see attached diagram).

Inscribed Quadrilateral Theorem: A quadrilateral can be inscribed in a circle if and only if the opposite angles are supplementary (add up to 180°).

Since angle CAB has the measure of 40°, then opposite quadrilateral's angle CED has the measure of

180°-40°=140°.

Since angle ABC has the measure of 60°, then the third triangle's angle BCA has the measure

180°-40°-60°=80°.

Since angle BCA has the measure of 80°, then opposite quadrilateral's angle ADE has the measure of

180°-80°=100°.

So, in quadrilateral ACED,

m∠A=40°, m∠C=80°, m∠E=140°, m∠D=100°.

The probability of buying fiction versus nonfiction is the same regardless of
whether or not the person buys a hardcover or paperback in the tree diagram.
Which of the following is true then?

A. The events are dependent on each other.

B. The events are not mutually exclusive

C. The events are independent of one another

D. The events are conditional events

Answers

Answer:

C. The events are independent of one another

Step-by-step explanation:

If the probability remains the same whether or not hardcover or paperback is bought, then the probability is not reliant on this variable, and is independent.

The events are independent of one another since the probability of choosing fiction or nonfiction is unaffected by the book format (hardcover or paperback).

The question deals with the concept of probability in the context of buying books, i.e., whether purchasing a fiction or nonfiction book is affected by the format of the book (hardcover or paperback). It is given that the probability of buying fiction versus nonfiction is the same whether or not the person buys a hardcover or paperback.

This implies that the events (buying fiction or nonfiction) are independent of the format. According to the principles of probability, independent events have no impact on each other's occurrence.

The formula for independent events states that P(A AND B) = P(A)P(B), and P(B|A) = P(B).

can someone help me with number thirteen

Answers

Answer:

[tex]3b(2n-5)(5n-2)[/tex]

Step-by-step explanation:

First we can factor out a 3b from each of the terms.

[tex]30n^2b-87nb+30b \\ \\ 3b(10n^2-29n+10)[/tex]

Then, we can factor this out.

[tex]3b(10n^2-29n+10) \\ \\ 3b(2n-5)(5n-2)[/tex]

And you'll get your answer!

Answer:

3b(2n-5)(5n-2)

Step-by-step explanation:

to solve 30n²b - 87nb +30b, we would need to factor out a common term among them

the entire expression has the number 3 in common, as they are all factors of 3. each term has the letter b included as well, so we can factor out 3b from the expression

3b(10n² - 29n + 10)

now we can factor the expression 10n² - 29n + 10. there are many ways we can factor this. i am choosing to factor by grouping, which means breaking down the expression into 4 terms and factoring each term.

to break this down, we can write -29n as a difference. the expression looks as follows:

3b(10n² - 4n - 25n + 10)

now we seperate the new expression into 2 groups with 10n² - 4n being their own group, and -25n + 10 being another

we will now factor 10n² - 4n. both have 2n in common, so we will factor that out:

2n(5n - 2)

next is -25n + 10, both have 5 in common, but we want the factorization of -25n + 10 to be equal to 5n - 2. to do this, we would factor out a -5 to get a -2 out of 10

-5(5n - 2)

the expression looks like the following:

3b(2n(5n-2) -5 (5n-2)) < we can drop a 5n - 2 since there are 2 of them and combine 2n - 5 as another factor of the expression. the fully simplified expression looks like the following:

3b(2n-5)(5n-2) is our answer

EASY MATH!
ASAP!

What are the color of the shoes worn by students in my school?
What are the heart rates of students in a sixth-grade class?

For each question write a sentence explaining if it is a statistical question or not.

Answers

Answer:

I think both

Step-by-step explanation:

Statistical question are questions that can be collected by data that varies. Here, both statements ask for a variety of data from multiple students, so I believe both are statistical. I hope this helps!

Answer:

both :) welcome hope it helps

Omar makes a total of $51.75 selling brownies and muffins at a bake sale. If he sells 16 brownies for $2.25 each how many muffins does he sell at $1.75 each?

Answers

Omar sells 9 muffins. I hope this helps!

The two lines graphed below are parallel. How many solutions are there to the system of equations?

Answers

Solutions just means the amount of times the lines intersect, so there are no solutions. Since the lines are parallel, they’re going the exact same direction forever and ever, never intersecting. Hope this helps!

Answer:

There is Zero solution to the system of equation.  

Step-by-step explanation:

Consider the provided graph.

The solutions for the system of equations are the values of the variables that simultaneously make both equations true.

Parallel lines are the lines on a plane that never meet. They are always apart from the same distance.

Now consider the provided graph.

From the above definition, it is clear that the parallel lines never intersect. Also, the line has no solution or we can say Zero solution because there are no such variables that simultaneously make both equations true.

Also, the lines never intersect each other. Thus there is zero solution.

Hence, there is Zero solution to the system of equation.

HELPPPPPPPPPPPPPP PLZZZZZZZZZZZ clock arithmetic Will mark brainiest .

clock arithmetic

calculate = a) 8 - 11 (12 clock ) (a) 9 + 10 (18-clock)
B) 4 Divide 9 ( 12 clock ) (B) 2 Divide 5 (13-clock)
C) 7 - 6 ( 12 clock ) (C) 1 - 5 ( 37 - clock )
D) 8 Divide 5 ( 12 clock ) ( D ) 3 * 9 ( 18 clock )


I know this is too much but plz helpppppp
PLZ GIVE ANSWER LIKE THIS = 4 + 9 = 13, 13 - 12 = 1 .... THANKKKSSSSSSS

Answers

Answer:

see below

Step-by-step explanation:

In clock arithmetics, your answer has to be in the range 0-N where N is the number of hours in your given clock.

If the initial answer < 0, you add N until you get >=0

If the initial answer >= N, subtract N until you get < N.

a) 8 - 11 (12 clock ) = -3, then -3 + 12 = 9

(a) 9 + 10 (18-clock)  = 19, then 19 - 18 = 1

B) 4 Divide 9 ( 12 clock ) , 4/9

(B) 2 Divide 5 (13-clock)  , 2/5

C) 7 - 6 ( 12 clock ) = 1, fine.

(C) 1 - 5 ( 37 - clock )  = -4, then -4 + 37 = 33

D) 8 Divide 5 ( 12 clock )  = 8/5, fine

( D ) 3 * 9 ( 18 clock ) =27, then 27 - 18 = 9

7 eights into decimal and fraction​

Answers

Answer:

Decimal Form: 0.875    Fraction Form: 7/8

Step-by-step explanation:

7 divided by 8 is 0.875 and another way to write seven eighths is 7/8

I hope this helps

What’s is value of X

Answers

Answer:

13 by using pythagorean theorem

Step-by-step explanation:

Evaluate the following expression. Log8 64

Answers

The value of the given expression i.e. [tex]Log_864[/tex] is 2.

Given that,

The given expression is [tex]Log_864[/tex].We need to evaluate it.

Based on the above information, the calculation is as follows:

Let us assume [tex]Log_864[/tex] be n

So,

[tex]64= 8^n\\\\8^2 = 8^n[/tex]

n = 2

Therefore we can conclude that the value of the given expression i.e. [tex]Log_864[/tex] is 2.

Learn more: brainly.com/question/15673235

After the above expression has been evaluated, Log8 64 = 2.

How  is this so?

To evaluate the expression "Log8 64," we need to determine the exponent to which the base 8 must be raised to obtain 64.

In this case, we are looking for the value of x in the equation 8ˣ = 64.

By observing that 8 is equal to 2³, we can rewrite the equation as (2³)ˣ = 64.

Using the property of exponentiation, we can simplify further: 2³ˣ = 64.

Since 64 is equal to 2⁶, we can equate the exponents - 3x = 6.

Solving for x, we find x = 2.

Therefore, Log8 64 = 2.

Learn more about Log at:

https://brainly.com/question/30226560

#SPJ6

What’s the perimeter of Patrick’s Figure?

Answers

Answer:

to find a perimeter of a square all you need to do is count how many units on one side. Then you multipluy it by four since there are four sides in a square

Step-by-step explanation:

the graph of y= 6cos (x-2) - 3 is obtained by shifting the graph of y=6 cos x-3 horizontally 3 units to the right. true or false?

Answers

Answer:

false.

Step-by-step explanation:

Given the function g(x) = f(x − k), can be sketched f(x) shifted k units horizontally. if k is negative, the function is shifted k units to the left.

Given the function g(x) = f(x) + k, we can say that the function is translated vertically upwards k times. If k is negative, the function is translated vertically downwards k times.

In this case, the function is translated two units to the right and 3 units down because the number "-3" is negative.

So it's false. The graph is translated three units downwards and 2 units to the right.

Answer:

The given statement is a false statement.

Step-by-step explanation:

We know that the transformation of the type:

f(x) to f(x+k)

is a horizontal shift of the graph.

The graph is shifted k units to the right if k is negative and if k is positive then the graph is shifted k units to the left.

Here we have the graph as:

                [tex]y=6\cos (x)-3[/tex]

and the translated graph is given by:

       [tex]y=6\cos (x-2)-3[/tex]

This means that:

f(x) → f(x-2)

i.e. the graph is shifted horizontally 2 units to the right ( since k=2 is positive )

A female gorilla has a mass of 85,000 grams a male gorilla has amass of 220 kilograms what is the difference between these two masses in grams please show work

Answers

Answer: 220000 grams for male

Step-by-step explanation:

The difference between 85,000 grams and 220 kilograms is that the Male gorilla weighs about 135,000 grams more than the female gorilla.

You can do the math by converting the kilograms to grams and then subtracting how much the Male gorilla weighs by how much the female gorilla weighs.

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