Find all solutions in the interval [0, 2π).

4 sin^2 x - 4 sin x + 1 = 0

Answers

Answer 1

Answer:

[tex]the \: solutions \: are : \\ x = 0 \\ x = 360[/tex]


Related Questions

Monica works in a mailroom for 18 hours
each week. How many hours does she work in
52 weeks?

Answers

Answer:

936

Step-by-step explanation:

Because 18 times 52= 936

Enter the slope-intercept equation for the image of line ℓ after a clockwise rotation of 90°. (Hint: To find the image of line ℓ, choose two or more points on the line and find the images of the points.)​

Answers

Answer:

y = -2x - 2

Step-by-step explanation:

From the graph attached,

If the line 'l' passes through two points A(0, -1) and B(4, 1).

Rule for the rotation of any point (x, y), 90° clockwise about the origin is,

(x, y) → (y, -x)

By this rule,

A(0, -1) → A'(-1, 0)

B(4, 1) → B'(1, -4)

Let the equation of the line A'B' is,

y - y' = m(x - x')

where m = slope of the line A'B'

And (x', y') is a point lying on the line.

Slope of the line passing through A' and B' will be,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{0+4}{-1-1}[/tex]

m = -2

Therefore, equation of the line passing through (-1, 0) and slope = -2,

y - 0 = (-2)(x + 1)

y = -2x - 2

So the equation of the line after rotation of lie 'l' by 90° clockwise will be,

y = -2x - 2

What is a better credit score?
Select the correct answer below:
A lower number
An even number
An odd number
O A higher number​

Answers

Answer:

A higher number.

Step-by-step explanation:

You don't want your credit to be low, and a higher number beats all of them.

You want high credit.

Not low.

Answer:

definately you want a higher number

A ketchup company regularly receives large shipments of tomatoes. For quality control purposes, they take a sample of tomatoes from each shipment. If the sample shows convincing evidence that more than 8\%8%8, percent of the tomatoes in the entire shipment are bruised, then the company will request a new shipment of tomatoes. So the company tests H0 : p = 0.08 versus Ha ​: p > 0.08H, where p is the proportion of tomatoes in the entire shipment that are bruised.
One day, a supervisor takes a random sample of 600 tomatoes from a shipment and finds that 53 of the tomatoes are bruised, which results in a test statistic of z ≈ 0.75. Assuming that the necessary conditions are met, what is the approximate P-value associated with the significance test for this shipment?

Answers

Answer:

The value is   [tex]p-value  =  0.22663[/tex]

Step-by-step explanation:

From the question we are told that

    The proportion of bruised tomatoes p =  0.08

    The  null hypothesis is  [tex]H_o  :   p =  0.08[/tex]

    The alternative hypothesis is  [tex]H_a  :  p >  0.08[/tex]

    The sample size is  n  =  600

    The number of bruised tomatoes from the sample selected is  k  =  53

    The test statistics is  z =0.75

Generally the p-value is mathematically represented as

      [tex]p-value  =  P(Z > z)[/tex]

=>    [tex]p-value  =  P(Z > 0.75)[/tex]

From the z-table  

    [tex]P(Z > 0.75) =  0.22663[/tex]

So  

    [tex]p-value  =  0.22663[/tex]

     

Answer:

P-value ≈ 0.2266

Step-by-step explanation:

find the midpoint (-6,-10) (-2,-8)

Answers

The Answer is (-4,-9)

used to parallel lines cut by transversal below to answer the question. which statement is not a true statement will mark brainest ​

Answers

Answer:

B

Step-by-step explanation:

there is no angle e unless i am reading this incorrectly, but i double-checked all the other answer choices and they are all correct, so B is the answer:)

Answer:

see attached

Step-by-step explanation:

Here are recipes for two mixtures of salt and water that taste different. Mixture A: salt (teaspoons) water (cups) 4 5 7 8 3/4 9 11 1/4 Mixture B is defined by the equation y=2.5x , where x is the number of teaspoons of salt and y is the number of cups of water. Respond to the following questions: 1. If you used 10 cups of water, which mixture would use more salt? How much more? Explain or show your reasoning. 2. Which mixture tastes saltier? Explain how you know.

Answers

Answer:

1.) Mixture A will use more salt.

Mixture A will require 4 more spoons of salt than mixture B of 10 cups of water is used.

2.) Mixture A

Step-by-step explanation:

Given the daya:

MIXTURE A

___Salt A(teaspoons _____water (Cups)

___4 _____________5

___7 _____________8 3/4

___9 _____________ 11 1/4

Mixture B is defined by the equation'

y = 2.5x ;

x = number of teaspoons of salt ;

y = number of cups of water

Respond to the following questions:

1.) If you used 10 cups of water, which mixture would use more salt? How much more? Explain or show your reasoning.

For mixture B:

If number of cups of water, y = 10

y = 2.5x ; 10 = 2.5x

10/2.5 = x

x = 4 ; 4 teaspoons of salt

Let's write an equation in terms of y and x to represent mixture A.

Mixture A:

5 = k4

k = 5/4

k = 1.25

Equation for mixture A:

y = 1.25x

10 = 1.25x

10/1.25 = x

x = 8 ; 8 teaspoons of salt

Mixture A will use more salt.

Mixture A will require 4 more spoons of salt than mixture B of 10 cups of water is used.

2. Which mixture tastes saltier? Explain how you know.

Mixture A is saltier as it makes use of more teaspoons of salt for the same amount of water.

1. Mixture A will use 4 more teaspoon of salt

2. The mixture that makes use of more teaspoon of salt (4 teaspoon) for the same quantity of water (10 cups) will taste saltier, which is: Mixture A.

Recall:

A proportionate relation is defined by the formula: y = kxk is the constant of proportionality or unit rate between two variables.

From the information given:

x = quantity of salt (teaspoons)y = quantity of water (cups)

Therefore, k = y/x

Equation for mixture B is given as: y = 2.5x

Using a pair of values from the table for mixture A, let's find the constant of proportionality and the equation that defines Mixture A.

Using (4, 5):

k = y/4 = 5/4 = 1.25

Thus, substitute k = 1.25 into y = kx

Equation for Mixture A is: y = 1.25x

1. Let's find the mixture that will have more salt if y = 10 (cups of water).

Substitute y = 10 in each equation that defines each mixtures

Mixture A: y = 1.25x

10 = 1.25x

Divide both sides by 1.25

8 = x

x = 8

Amount of salt you will have in mixture A is you use 10 cups of water is 8 teaspoons

Mixture B: y = 2.5x

10 = 2.5x

Divide both sides by 2.5

4 = x

x = 4

Amount of salt you will have in mixture A is you use 10 cups of water is 4 teaspoons

Thus, Mixture A will use 4 more teaspoon of salt.

2. The mixture that makes use of more teaspoon of salt (4 teaspoon) for the same quantity of water (10 cups) will taste saltier, which is: Mixture A.

Learn more here:

https://brainly.com/question/25211140

A costume designer needs some silver and gold thread for the costumes for a school play. She needs a total of 240 yards. At a store that sells thread by the yard, silver thread costs $0.04 a yard and gold thread costs $0.07 a yard. The designer has $15 to spend on the thread.

How many of each color should she get if she is buying exactly what is needed and spending all of her budget?

Write an equation for the length constraint. Write an equation for the cost constraint. solution

Answers

Answer:

Where s represents silver and g represents gold,

Length constraint: s+g=240

Cost constraint: 0.04s+0.07g=15

s= 60

g=180

Step-by-step explanation:

The measurement of silver and gold threads in yards is given as 60 and 180 respectively.

What is a system of linear equations?

A system of linear equations is a group of  equations having same number of variables and degree.

For the n number of variables n number of equations are required.

On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.

The given problem can be solved as follows,

Suppose the number of yards for silver threads be x and that of gold be y.

Then the equation for the total yard is given as,

x + y = 240                  (1)

And, the equation for the cost is,

0.04x + 0.07y = 15      (2)

The value of x from equation (1) is x = 240 - y.

Substitute the value of x in equation (2) to obtain,

0.04(240 - y) + 0.07y = 15  

=> 9.6 - 0.04y + 0.07y = 15

=> 0.03y = 15 - 9.6

=> 0.03y = 5.4

=> y = 180

Substitute the value of y in x = 240 - y to obtain,

x = 240 - 180 = 60

Hence, the costume designer should get  silver and gold thread of 60 yards and 180 yards respectively.

To know more about system of equations click on,

brainly.com/question/24065247

#SPJ2

find three ratios that are equivalent to 20:25

Answers

Answer:

4/5 , 40/50, 80/100

Step-by-step explanation:

just a quick question!!​

Answers

Answer:

The scale is by 4 becuase if you mutiply 4 by the numbers on the smaller triangle then you will get the numbers on the larger triangle.

Step-by-step explanation:

I WILL MARK BRAINLIST
A photograph is dilated to fit in a frame, so that its area after the dilation is 9 times greater
than the area of the original photograph. What is the scale factor of the dilation?
A photograph is dilated to fit in a frame, so that its area after the dilation is 9 times greater
than the area of the original photograph. What is the scale factor of the dilation?

Answers

Answer:

i think its 3

Step-by-step explanation:

If Coach Smith has 12 players and each player needs three uniforms, three shin guards, two balls, and three pairs of cleats. How much will he end up spending on his equipment for the entire soccer team?

Answers

you can't do that. there isn't enough detail. we don't know how much each item costs

Need help ASAP !!! I am failing MATH

Answers

Answer:

i think it is D

Step-by-step explanation:

Suppose you have information about average heights of a random sample of airline passengers. The mode is 65 inches, the median is 72 inches, and the mean is 70 inches. To convert the data into centimeters, multiply each data value by 2.54. What are the values of the mode, median, and mean in centimeters?

Answers

Answer: mode = 165.10 cm, median = 182.88 cm, mean = 177.80 cm

Step-by-step explanation:

mode = 65*2.54 = 165.10 cm

median = 72*2.54 = 182.88 cm

mean = 70*2.54 = 177.80 cm

The values in cm are:

Mode = 162.56 cm

Median = 182.88 cm

Mean = 177.8 cm

Given,

The mode is 65 inches, the median is 72 inches, and the mean is 70 inches.

We need to convert the data into centimeters by multiplying each data value by 2.54 and find the values of the mode, median, and mean in centimeters.

How many cm in one inch?

There is 2.54 cm in one inch.

Example:

If we want to find cm in 4 inches.

We just multiply 4 with 2.54 cm.

2.54 cm = 1 inch

4 x 2.54 cm = 4 x 1 inch

10.16 cm = 4 inches

We have,

We know that,

1 inch = 2.54 cm

Mode = 65 inches

1 inch = 2.54 cm

64 inches = 64 x 2.54 cm = 162.56 cm

Median = 72 inches

72 inches = 72 x 2.54 cm = 182.88 cm

Mean = 70 inches

70 inches = 70 x 2.54 cm = 177.8 cm

Thus the values in cm are:

Mode = 162.56 cm

Median = 182.88 cm

Mean = 177.8 cm

Learn more about the conversion of inches to cm here:

https://brainly.com/question/14881622

#SPJ2

When do we use inequalities?

Answers

Answer: In math but if u mean “irl” they use it in business like how much is in there inventory (stock) and the price stock they can make to get an profit and etc.

Step-by-step explanation:

Dennis mowed his next door neighbors lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. How many of each coin did he earn

Answers

Answer:

28 nickels and 52 dimes

Step-by-step explanation:

.05x 28 + .10 x 52 = 6.60

1.40 + 5.20 = 6.60

^28  +   ^52  = ^80

Ashley has sold 70% of the 20 candy bars she is supposed to sell for her softball team. How many candy bars does she have left to sell?

Answers

Answer:

70/100=x/20 cross multiply you get 1400/100=14

If Ashley sold 70% of her candy bars it means she has 30% left to sell

of means times

30%=.30

20 x .30= 6 candy bars to sell

Step-by-step explanation:

give brainliest please :)

Answer:

6

Step-by-step explanation:

70% of 20 is 14

20-14=6

let me  know if im wrong

What is the slope of the line that passes through the points (1, 1) and (7, 5)?

Answers

Answer:

The slope of the line is

[tex] \frac{2}{3} [/tex]

Given a linear equation with a slope of - 13/4, determine the slope of a line that is perpendicular. Enter the answer as a fraction.

Answers

Answer:

4/13

Step-by-step explanation:

To find the perpendicular slope, find the negative reciprocal, which is 4/13 in this case. All you do is flip the numerator and denominator, and change the sign.

Answer:

4/13 should be the answer as it is the reciprocal.

Step-by-step explanation:

I learned this like 2 or 3 years ago so im a bit rusty but im pretty sure thats the answer

student schoolitycom/students/common/index
Cow
CCM! Payne New
Henry, Ladaris
DISTRICT SWI CA GRADE 6 MATH 20-21
D3101 2. P N →
Eat Test
4
BO
In a TV contest show, Thomas has 280 points. To determine his final score in the game, Thomas will spin the spinner shown below, and multiply his current number of points by the
fraction the spinner lands on
Which statement correctly describes the effect of multiplying his current score by the fractions shown on the spinner?
A Multiplying by will decrease his score
B Multiplying by will decrease his score.
Copyright 2020 laminate Education, Inc. All Rights Reserved
US 2:41

Answers

Answer:

Step-by-step explanation:

What did Physics say to History when they are arguing?

Answers

Answer:

Hey!

Here's your answer!!

➡️Don't change the subject⬅️

Why do they even exist!?

Gotta study those experiments which we never perform and those people who are long gone xD

Write the equation of a line through (5, -3) with a slope of
1/5 in standard form.​

Answers

Answer:

[tex]\frac{1}{5} x-4[/tex]

Step-by-step explanation:

I graphed it on desmos by inserting the point (5,-3) and [tex]\frac{1}{5} x[/tex] for the slope then translated [tex]\frac{1}{5} x[/tex] down 4 so it would go through the point

Answer:

y = 1/5x - 4

Step-by-step explanation:

y = mx + b

simply plug in the slope,

y = 1/5x + b

now put in the cooridinates for b,

-3 = 1/5 ( 5) + b

now solve for b,

-3 - 1 = b

-4 = b

now put -4 into the equation,

y = 1/5x - 4

2) Martha cut three pieces of rope that are 5 1/4 inches each from a rope that is 20 inches
long. What is the length of the remaining part of the rope?
Help me please

Answers

Answer:

Step-by-step explanation:

Total length of the rope = 20 inches.

Martha cuts 3 pieces of rope that is 5 1/4 inches each.

Find the total length of the 3 pieces of rope:

Total of 3 pieces of rope = 5 1/4 + 5 1/4 + 5 1/4 = 15.75

Since we know the total rope length is 20 inches, if you subtract the total length of the 3 pieces of rope you will get the remaining length of rope.

Remaining length = 20 - 15.75

= 4.25 inches of rope

The quantities and are proportional​

Answers

9514 1404 393

Answer:

  r = 1

Step-by-step explanation:

Solving the equation for r gives ...

  r = y/x

Using the first line of the table, we find r to be ...

  r = 5.8/5.8 = 1

The constant of proportionality is r = 1.

can you help me on this question
they are the same but one of the is a bad pic

Answers

0.000017 in scientific notation would be: 1.7 x 10^-5

The width of a rectangle is 50% more than the length. The perimeter is 65. Find both dimensions.

Answers

Answer:

Step-by-step explanation:

Perimeter of rectangle = 2 times width + 2 times length

P= 2W + 2L

Let's say W = width , L= length

We are told the width is 50% more than the length.

width = 0.5 + L

W = 0.5 + L

From here we can say

Perimeter = 2W + 2L so,

P = 2(0.5 + L) + 2L

P = 1 + 2L + 2L

P = 1 + 4L

We are also told perimeter is 65 (P=65)

65 = 1 + 4L

Subtract 1 from both sides

64 = 4L

Divide 64 by 4 to find L

L = 64/4 = 16

Now since we know L= 16, this means

W = 0.5 + L is the same as

W = 0.5 + 16 = 16.5

Therefore Length = 16, width = 16.5

The Madison's son Dwayne

Answers

What does this mean? lol

A dolphin jumped from 5 feet below the surface of the sea. Jane wrote −5 to represent the depth from which the dolphin jumped. What does 0 represent in this situation?

Answers

0 represent the sea surface since the dolphin jumped from five feet below the sea surface and since Jane put that the dolphin jumped at -5 below the sea surface that would mean that 0 must represent the sea surface.

Answer:

it represents the surface of the sea

Step-by-step explanation:

i did the test lol :)

Do you wants to buy a bike for $180 he has $40 Dave mows lawns for $10 per lawn Write in equation that can be used to find eggs the number of lawns Dave needs mow to have enough money to the to buy his bike

Answers

Answer:

Dave needs to mow 14 lawns to have enough money to buy a bike.

Step-by-step explanation:

180-40=140, 140/10=14. Dave needs to mow 14 lawns to have enough to buy a bike.

A restaurant manager classifies customers as regular, occasional, or new

Answers

Answer:

Step-by-step explanation:

I am sorry but please give detailed question

Other Questions
during 1200 to 1450, how did the new empires affect trade networks in africa Sasha has been working out for a few months now. She has a schedule that requires her to go to the gym every day. Lately, she noticed that her blood pressure is up and she is feeling irritable. What action would benefit her the most? Why did the British choose to deport the Acadians after gaining control of Canada? 1. The British were threatened by the Acadians trade alliance with the Micmacs. 2. The French and Indian War left the British in debt and unable to aid the Acadians. 3. The Acadians proved to be weak soldiers, which led to losses in the French and Indian War. 4.The British believed that the Acadians had committed treason by joining the French army. In which sentence does the verb agree with the subject? A Either of these shirts match that denim skirt. B One of my friends is building her own solar panel. C Neither of the girls were home on time. D Many of our relatives speaks more than one language. What Is the slope of the line on the graph? Decide whether the underlined word below is a preposition, interjection or conjunction.She arrived at the library around 3:00 P.M. ( Read the quotation, and then answer the questions. The Chief Magistracy is the presidency.I cannot believe that killing twenty-five hundred Englishmen at New Orleans qualifies for the various, difficult, and complicated duties of the Chief Magistracy. Henry Clay ) | According to Clay, what was the only reason Jackson was elected President? |Jacksons personal experience in killing 2,500 EnglishmenJacksons experience as chief magistrateJacksons leadership in the Battle of New Orleans during the War of 1812 The distinctive odor of vinegar is due to acetic acid, HCHO, which reacts with sodium hydroxide.If a 3.45 mL sample of vinegar needs 42.5 mL of 0.115 M NaOH to be neutralized, how many grams of acetic acid are in a 1.00 L bottle of this vinegar? A local farm has a 0.5 acre field that was planted with 26,100 corn plants. One acre is equivalent to 43,500 square feet. Assuming the same planting density, how many corn plants could they plant on a field with an acre of 80,000 square feet Scott wrote the number 39 on the board and said that it was a primenumber because it was an odd number. Is he correct? Explain whyor why not. Why was the MLK's March on Washington successful? please i rlly need halp how does a meteor transfer energy? The stage of respiration that releases most of the energy in glucose occurs in the ______. Asppppp help Im taking a quixxxx The track star runs 100m at a rate of 10.4m/s. How long did it take to run 100m?0.1 m/s9.651040m/s0.1s LWOP inmates have "nothing to lose" if they kill or commit other infractions in prison.O TrueO False What happens in this passage that helps show that Diane France is clever 1 If f(x) = x - x9, what is the value of f(2)?Can any1 help me with this question please 1.Solve: 12 2 Its urgent need these answered, please