How can you determine the domain of a sine function?

Answers

Answer 1

Answer:

Step-by-step explanation:

Note that the domain of the function y=sin(x) ) is all real numbers (sine is defined for any angle measure), the range is −1≤y≤1 . The graph of the cosine function looks like this: The domain of the function y=cos(x) is all real numbers (cosine is defined for any angle measure), the range is −1≤y≤1 .


Related Questions

At the movie theater,
each chrink costs 3
dollars and each box of
candy costs x dollars.
Charlie bought 2 drinks
and one box of candy
Tyrell bought I drink and 3
boxes of candy Write a
simplfled expression
representing how much
mone Charlie spent.

Answers

Step-by-step explanation:

Charlie bought 2 drinks and 1 box of candy

=> 2($3) + 1($x)

=> $(6 + x).

A runner burns 100 Calories for every 15 minutes spent running. How many hours of running would it take for a runner to burn 600 Calories?

Answers

100 calories every 15 minutes
600/100 = 6
6 * 15
90 minutes
Hour and a half
It would take 90 minutes or 1 hour and 30 minutes to burn 600 calories.

600 divided by 100 equals 6. Multiply 6 and 15 and you’ll get 90. So the answer is 90 minutes (1 hour and 30 minutes)

Hope this helped :)

Complete the table for the equation y = x - 2. Then use the table to graph the equation.

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

[tex]y = x-2[/tex]

comparing with the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

so

The slope of the line y = x-2 will be: m = 1The y-intercept of the line = b = -2

Let us plug in some values

at x = 0, y = x-2 ⇒ y = 0-2  ⇒ y = -2

at x = 1, y = x-2 ⇒ y = 1-2  ⇒ y = -1

at x = 2, y = x-2 ⇒ y = 2-2  ⇒ y = 0

at x = 3, y = x-2 ⇒ y = 3-2  ⇒ y = 1

at x = 4, y = 4-2 ⇒ y = 4-2  ⇒ y = 2

Thus, the table of the equation y = x-2 becomes

x                  y

0                 -2

1                   -1

2                  0

3                   1

4                   2

Please check the attached graph.

The crisis in the housing market during the most recent economic recession led to lower vacancy rates in the apartment industry. This, in turn, has resulted in an increase in monthly rents for apartments. Suppose a random sample of 40 apartments had an average rent of $1,090. Assume the standard deviation for the population of apartment rents is $260. Determine the 98% confidence interval for this sample.

Answers

Answer:

(994.37, 1185.62)

Step-by-step explanation:

Given that :

Mean (m) = 1090

Standard deviation (s) = 260

Samole size (n) = 40

α = 98%

Using the relation :

Confidence interval = mean ± Error

Error = Zcritical * (standard deviation / sqrt (n))

Zcritical at 98% = 2.326

Error = 2.326 * (260 / sqrt(40))

Error = 95.620951

Hence,

Confidence interval :

Lower boundary = 1090 - 95.620951 = 994.379049

Upper boundary = 1090 + 95.620951 = 1185.620951

(994.37, 1185.62)

20 points! For students majoring in Hospitality Management, it was determined that 5% have visited 1–10 states, 16% have visited 11–20 states, 45% have visited 21–30 states, 19% have visited 31–40 states, and 15% have visited 41–50 states. Suppose a Hospitality Management student is randomly selected. What is the probability that the student has visited 21 or more states?

0.15
0.21
0.45
0.79

Answers

Answer:

So i feel like the answers is .79

Step-by-step explanation:

asking for the ones that visited 21 or more so thats .45+.19+.15=.79

Answer:

.55

Step-by-step explanation:

Danae is shopping for grass seed. The prices of bags from four brands are shown in the table.

Grass Seed
Brand
Price
Coverage
A
$18.99
3,000 square feet
B
$22.99
4,000 square feet
C
$31.99
5,000 square feet
D
$36.99
6,000 square feet

Which brand of seed has the lowest cost per square foot?
Brand A
Brand B
Brand C
Brand D

Answers

The answer is B ( I think )

Answer:

The answer is B got it right :)

Step-by-step explanation:

Apollo Spas services 156 hot tubs. If each hot tub needs 105 mL of muriatic acid, how many liters of acid are needed for all of the hot tubs?

Answers

Answer:

16380 mL or 16.380 L

Step-by-step explanation:

1 hot tub requires 105 mL of Acid

156 hot tubs requires 105 * 156 mL of acid = 16380 mL of acid are needed.

16380 / 1000 mL/L = 16.380 Liters.

g
What was Ashley's error?
O Ashley should have subtracted 17 to both sides.
Ashley should Inve added 4.5 to both sides.
O Ashley should Jadded 17 to both sides.
O Ashley's work does not have an error.



The answer is B

Answers

Answer:

b

Step-by-step explanation:

A landscape contractor wants to make an exposed gravel border of uniform width around a rectangular pool in a garden. The pool is 10 feet long and 6 feet wide. There is enough material to cover 36 square feet. How wide should the border be

Answers

Answer:

Border should be 1 ft wide

Step-by-step explanation:

The pool is 10 feet long and 6 feet wide.

Now, since the landscape contractor wants to make an exposed gravel border of uniform width. Let the uniform width of the border be x. Thus it means the length is now (10 + 2x) and width is now (6 + 2x).

We are told there is enough material to cover 36 square feet.. Thus;

New area - old area = 36

[(10 + 2x) × (6 + 2x)] - (10 × 60) = 36

4x² + 32x + 60 - 60 = 36

4x² + 32x = 36

Subtract 36 from both sides to get;

4x² + 32x - 36 = 0

Using quadratic formula, we have;

x = -9 or 1

We will pick the positive value as the width can't be negative.

Thus;

x = 1 ft

Someone help me please

Answers

Step-by-step explanation:

i think c is your answer

HELP THIS IS DUE IN ONE HOUR I NEED A GOOD ANSWER! Each sales associate at an electronics store has a choice of the two salary options shown below.
• $115 per week plus 9.5% commission on the associate’s total sales
• $450 per week with no commission


a. The average of the total sales amount for each associate last year was $125,000. Based on this average, which salary option would result in a higher salary?









b. What is the difference between the two salary options?

Answers

Answer:

A) The best option would be a fixed weekly salary of $ 450.

B) The difference between the two options is $ 106.64.

Step-by-step explanation:

A) To determine which option would result in a better salary, knowing that on the one hand you can have a fixed salary of $ 450 per week without commission, while on the other you can have a salary of $ 115 per week plus a commission of 9.5% on the total sales of Each associate, knowing that the average annual sales of each associate in the last year was $ 125,000 and that each year has 52 weeks, the following calculation must be made:

125,000 / 52 = Average sales per week

2,403.84 = Average sales per week

2,403.84 x 0.095 = Weekly commission

228.36 = Weekly commission

228.36 + 115 = Weekly salary

343.36 = Weekly salary

Therefore, the best option would be a fixed weekly salary of $ 450.

B) The difference between both options arises from the subtraction between each amount received by the worker, that is:

450 - 343.36 = X

106.64 = X

Therefore, the difference between the two options is $ 106.64.

In 2000, in order to reduce the unemployment rate, France mandated all employers with 20 or more employees to reduce the workweek to 35 hours. Prior to the new law, the unemployment rate in France was 12%. In a random sample of 500 French workers taken a few years after the new law went into effect, 53 workers were found to be unemployed. Using the p-value method, conduct a hypothesis test to determine if the French unemployment rate dropped after the enactment of the 35- hour workweek law. Assume the significance level as 0.05. (7 Points)

Answers

Answer:

We accept H₀ for a CI = 95 % we din´t find differences in the unemployment level

Step-by-step explanation:

p₀  = 12 %     p₀  = 0,12

From sample  p = 53/500     p = 0,106

Test Hypothesis

Null Hypothesis                                      H₀                       p = p₀

Alternative Hypothesis                         Hₐ                       p < p₀

p₀*n  = 0,12*500 = 60

q₀ * n = 0,88 * 500 = 440

Then the binomial distribution can be approximate to a normal distribution

The significance level  α = 0,05     CI = 95 %

We need to develop a one-tail test (to the left ) find p-value and compare it with α.

p(s) = ( p - p₀ ) / √ p*q /n

p(s) = 0,106 - 0,12 / √(0,12)*(0,88)/500

p(s) = - 0,014 / 0,015

p(s) = - 0,93

With this P score we find the area under the bell shape curve

p-value = 0,1762 and compare that area with α = 0,05

Then p-value > 0,05

Therefore we accept H₀


18. The radius of a circle is increasing at a constant rate of 3 cm per second. What is the rate of increase (at any point)
of the area of the circle?

Answers

Step-by-step explanation:

you should have to give more points for this answer

PLZ HELP ME!!!
18 packages of basil cost $54. How many packages can you buy for $9?

Answers

Answer:

3

Step-by-step explanation:

Answer:

3 packages of basil.

Step-by-step explanation:

I divided 54/18 and got 3.

I used this number to calculate how much each package of basil costs, $3.00.

And 3 + 3 + 3 =9. So 3 packages of basil is hopefully the answer.

In the diagram ce=12 units and be=5 units based on the given information what is ae?

Answers

Answer:

AE = 12 units

Step-by-step explanation:

ce is the same unit as AE

Answer:

C: 12 units

Step-by-step explanation:

HELP!!

Look at the graph of the system of equations and
choose the option that best answers each question.
What is the solution?
Which equation represents the orange line, line 0?
Which equation represents the blue line, line B?

Answers

Answer: (15,180) y=0x+180 y=10x+30

Step-by-step explanation:

Answer:

first one: (15, 180)

second one: y = 0x + 180

third one: y = 10x + 30

Step-by-step explanation:

Help fast please!!!

6x + 4 = 2x - 12

Answers

6x+4=-12-4
4x=-16
X=-4

there are 60 inches in 5 feet. How many inches are in8 feet?​

Answers

Ok so

96 inches is the answer u calculate

Answer:

96 inches

Step-by-step explanation:

Brainliest me pls

Have a nice day! <3

List the multiples of 4 and 7 and identify the LCM. ​

Answers

Answer:

Step-by-step explanation:

4: 4 8 12 16 20 24 28 32 36 40 44 48 52 56

7: 7 14 21 28 35 42 49

lcm is 28

hope this helps <3

LOOK AT PICTURE, WHOEVER HAS CORRECT ANSWER, I WILL MARK BRAINIEST :)

Answers

Answer:

B. 32

Step-by-step explanation:

instead of X in the equation put 3, you will get the answer as 32.

hope it helps!

Answer:

B. 32

Step-by-step explanation:

[tex]f(x) = \frac{1}{2} \bigg( {4} \bigg)^{x} \\ \\ plug \: x = 3 \\ \\ f(3) = \frac{1}{2} \bigg( {4} \bigg)^{3} \\ \\ f(3) = \frac{1}{2} \times 64 \\ \\ f(3) = 32[/tex]

Shara and her brother have n dollars to spend at the school carnival . They each spend more than 6 dollars . Create an inequality to represent the total number of dollars ,n, shara and her brother spent at the carnival

Answers

n>6 because they spent over 6 dollars meaning their n amount of money needs to be more than six


Solve the equation and check your solution.
3x − 6 = 4(2 − 3x) − 8x

Answers

Answer:

x = 14/23

Step-by-step explanation:

3x − 6 = 4(2 − 3x) − 8x

3x − 6 = 8-12x − 8x

3x=14-20x

23x=14

x= 14/23

3(14/23)-6=4(2 − 3(14/23) − 8(14/23)

And solve hope this helps. Remember to isolate the variable when finding x for next time.

The solution to the given equation is x = 14/23.

To solve the equation 3x - 6 = 4(2 - 3x) - 8x, we will simplify and solve for x:

First, let's distribute 4 to the terms inside the parentheses on the right side of the equation:

3x - 6 = 8 - 12x - 8x

Next, let's combine like terms on the right side of the equation:

3x - 6 = -20x + 8

Now, let's bring all the x terms to one side of the equation by adding 20x to both sides:

3x + 20x - 6 = -20x + 20x + 8

This simplifies to:

23x - 6 = 8

Next, let's isolate the x term by adding 6 to both sides:

23x - 6 + 6 = 8 + 6

This simplifies to:

23x = 14

Finally, divide both sides by 23 to solve for x:

x = 14/23

So, the solution to the equation is x = 14/23.

To check the solution, substitute x = 14/23 back into the original equation:

3(14/23) - 6 = 4(2 - 3(14/23)) - 8(14/23)

This simplifies to:

42/23 - 6 = 8/23 - 12(14/23) - 112/23

-132/23 = -132/23

Both sides of the equation are equal, confirming that x = 14/23 is the correct solution.

Learn more about the solution to the equation here:

brainly.com/question/15272274

#SPJ6

Please help me thank you I appreciate it

Answers

Answer:

srt is 33

srq is 66

trq is 33

Answer:

∠SRT = 33°

Step-by-step explanation:

To track what angle they're talking about, connect the letters listed for each angle like connect the dots.

∠QRT is 33°

RT bisects ∠SRQ, meaning it's in the middle of it.

So half of ∠SRQ is 33°, meaning the full angle is double that: 66°

That also means that the other half of the angle is equal to the first half. ∠SRT=33°

For every 4 stickers it costs 2$ so if I get 50 stickers how much money would I have spent?

Answers

Answer:

25$

Step-by-step explanation:

If 4 stickers cost 2$, then each sticker would cost .50$

50(.5)=25

You would have spent 25$

Answer:

$25

Step-by-step explanation:

For every 2 sticks it's $1, so you divide 50 by 2 and get 25, so it's $25..... I think

I hope this helps!!!

1. A company that produces bread is concerned about the distribution of the amount of sodium in its bread. The company takes a simple random sample of 100 slices of bread and computes the sample mean to be 103 milligrams of sodium per slice. Assume that the population standard deviation is 10 milligrams. a) Construct a 95% confidence interval estimate for the mean sodium level. b) Construct a 99% confidence interval estimate for the mean sodium level.

Answers

Answer:

The 95% confidence interval is  [tex] 101.13  <  \mu < 104.87  [/tex]

The 99% confidence interval is  [tex] 100.54  <  \mu < 105.46   [/tex]

Step-by-step explanation:

From the question we are told that

   The  sample size is  n = 110

    The sample mean is  [tex]\= x = 103 \ mg[/tex]

     The population standard deviation is  [tex]\sigma = 10 \ mg[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E = 1.96 *  \frac{ 10 }{\sqrt{110} }[/tex]

=>    [tex]E =1.8688 [/tex]    

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>  [tex]103 - 1.8688 <  \mu < 103 + 1.8688 [/tex]

=>   [tex] 101.13  <  \mu < 104.87  [/tex]

Considering question b

From the question we are told the confidence level is  99% , hence the level of significance is    

      [tex]\alpha = (100 - 99 ) \%[/tex]

=>   [tex]\alpha = 0.01[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  2.58[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E = 2.58 *  \frac{ 10 }{\sqrt{110} }[/tex]

=>    [tex]E =2.4599  [/tex]    

Generally 99% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>  [tex]103 - 2.4599 <  \mu <103 + 2.4599  [/tex]

=>   [tex] 100.54  <  \mu < 105.46   [/tex]

Help ASAP
The value of y varies directly with x. When y= 80, x= 2. What is the value of y when x is 2?
100
O 64
O 156
O 400

Answers

Answer:

I just know something that answer is 156

Find a · b.
a = 5i + 4j − k, b = −4i + 9k

Answers

Answer

a · b= the square root of b(5i + 4j - k) divided by b

convert 25% into fraction with method​

Answers

25% equals 0.25. This is 1 4th of 100 making the fraction 1/4

Answer:

¼

Step-by-step explanation:

25%

= 25÷100

= ¼ (°.° 25×4 = 100)

2. Which of the following vectors is equal to vector with initial point (3, 7) and
terminal point (-5, -3)?
f. u= <2,-10>
g. u = <-2,-4>
h, u =<-8,4>
j. u = <-8,-10>

Answers

Answer:

j

Step-by-step explanation:

We can subtract 3 in the x-coordinate and 7 in the y-coordinate for both points.

(3-3,7-7) = (0,0)

(-5-3,-3-7) = <-8,-10>

Hope this helps!

14 compact cars at 56% of cars sold that day

Answers

Answer:

4

Step-by-step explanation:

Other Questions
In your opinion, what was the artist trying to convey the observer find the product of 4yx(xy-2x) IF YOU ANSWER WITH MULTIPLE CHOICE I WILL VOTE YOU BRAINLIESTSelect all that apply.Proofread the following written conversation carefully. Identify the types of errors the writer made."So what are you going to do tonight?" asked Mario.I dont know, replied Emily."are you thinking of going to the football game? asked Mario."Maybe. Yes, I think that I will," said Emily.Possible errors are: _____.using quotation marks around an indirect quotefailure to use quotation marks where neededusing the wrong punctuation for a titleusing a comma incorrectlyfailure to use an apostrophe where needed Make A paragraph 2-4 sentences, on what is bullying! In your own words please. I know what it is I just cant really explain in type In what year did Napoleon crown himself emperor? 1789 1799 18021804 Which three quantities are needed in order to calculate the value of the Y-intercept for the linearregression prediction equation?The slope, the mean of X, and the total number of observations in the dataThe slope, the mean of Y, and the total number of observations in the dataThe mean of X, the mean of Y, and the total number of observations in the dataThe mean of X, the mean of Y, and the slope Which statement best completes the table? Structure of the Federal Government There are three branches of government. All branches of government have equal power. Each branch of government can check the power of the other two. 2 A. Power is separated between three branches of government. B. Each branch of government passes its own laws. O C. The president controls every branch of government. D. States can decide which branches of government to follow. Transcaucasia and Central Asia. Ivanhoe Industries collected $104,000 from customers in 2020. Of the amount collected, $24,800 was for services performed in 2019. In addition, Ivanhoe performed services worth $41,600 in 2020, which will not be collected until 2021. Ivanhoe Industries also paid $72,200 for expenses in 2020. Of the amount paid, $30,200 was for expenses incurred on account in 2019. In addition, Ivanhoe incurred $40,800 of expenses in 2020, which will not be paid until 2021. : A coffee shop spends $408 for an order of 17 cases of paper cups. If the coffee shop adds 5 more cases of paper cups to the order, how much will the total cost be Long legs (L) in racing horses is dominant to short legs (l). Good muscle tone (G) is dominant to weak muscle tone (g). Determine the phenotypes of the F1 generation resulting from a cross between a heterozygous long legged, weak muscled horse and a heterozygous long legged, strong horse Patriotism and education are traditional American values. Please select the best answer from the choices provided T F When Luca thinks about how a setting relates to his life, he isA) explaining the setting.B) identifying the setting.C) analyzing the details of the setting.D) making a connection with the setting. Please help me slove this problem 7 = 4x - 5 Pls help with this question!!! Noah picked 3 kilograms of cherries. Mai picked half as many cherries as Noah. How many total kilograms of cherries die Mia and Noah pick together?Group of answer choices The Bill of Rights consists of_____that include freedom of speech and right to De redactat o compunere n care s demonstrai c " Sobieski i romnii" de Costache Negruzzi este un text narativ literar .Va rog rapid dau coroana A famous comedian refuses to shake hands whenever he meets someone because he fears catching a disease from them. The behavior of not shaking hands is a(n) ________ and the belief that he will catch a disease is a(n) ________. What is the equation of a line where the slope is the fraction where it goes up 8 and over 3, and the y intercept is -5?