Simplify the expression, sin2x + sinx + cos2x - 1

Answers

Answer 1

Answer:

2sinxcosx + sinx +1-2sin²x-1

2sinxcosx+sinx-2sin²x

sinx (2cosx+1-2sinx)


Related Questions

i am very stuck on this
The measure of an angle is twenty-three times the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

∡'s are 172.5° and 7.5°

Step-by-step explanation:

x = 23(180-x)

x = 4140 - 23x

add 23x to each side

24x = 4140

x = 4140/24

x = 172.5

So, supplementary angles is an angle pair that adds up to 180 degrees.

If one of the angles is 23 times larger than the other angle, then the other angle would be 1 times larger, due to the reflexive prop.

So combined, the angle pair is 24 times larger than the small angle. And since we know that the supplementary angle is 180, it's something that easy math can solve.

For the small angle:

180 / 24 --> 7.5 degrees.

Now with the big angle that 23 times that:

7.5 * 23 -->  172.5 degrees.


Please ASAP please

Answers

Answer:

A)3.125hr

B)53.325mi

Step-by-step explanation:

speed=distance/time

an hour and 15min=1.25hr

32/1.25=25.6mi/hr

80/25.6=3.125hr

B)

2hr and 5min=2+5/60=2.083hr

2.083x25.6=53.325mile

Blancos y mestizos se ubican en​

Answers

Answer:

Se ubican en Chile

An elementary bake sale is selling brownies and cookies. Their goal is to make $500
dollars. Each brownies is sold for $2 and each cookie is sold for $1.50. Write an
equation to represent the number of brownies, b, and cookies, c, that must be sold to
make $500.
Answer:
Submit Answer

Answers

Answer:

2b + 1.5c = 500

Step-by-step explanation:

Cost per brownie = $2

Cost per cookie = $1.50

Number of brownie = b

Number of cookie = c

area of the parallelogram

Answers

Answer:

48[tex]m^{2}[/tex]

Step-by-step explanation:

Area = base x height

Area = 8m x 6m

Area = [tex]48m^{2}[/tex]

Consider the equation 5 +x=n.
What must be true about any value of x if n is a negative number?
Explain your answer.
Provide an example that would satisfy this condition.
Explain how you know your equation is correct.

Answers

Answer:

It's C.

Step-by-step explanation:

Any value of x must have a bigger negative number than 5. In this case, formally you say that all x values must be LESS than 5 only.

3(x+3) [tex]\geq[/tex] 4(x-4)

Answers

Answer:

12x2-12x-144 thats the answer

Step-by-step explanation:

Parallel lines meet to form an acute angle true or falsehood

Answers

I believe it’s true sorry if I’m incorrect though

Answer:

false, parallel lines will never meet.

Step-by-step explanation:

Please Help Me with this guys!! i need the answer to be typed please i cant see pics my school blocked them on my laptop oofie so please type it out

Answers

Answer:

Give me a sec and ill answer in this comments k

Step-by-step explanation:

The polynomial f(x) is written in factored form:
f(x) = (x - 6)(x + 5)(x - 9)
What are the zeros of the polynomial function?
O x = 6, x = -5, X = 9
O x = 6, X = 5, X = 9
Ox= -6, X = 5, x = -9
Ox= -6, X = 6, X = -5, x= 5, X = -9, x = 9
15points please help

Answers

Answer:The zeros are 6, -5, 9

Step-by-step explanation:

The zeros of the polynomial function are x = 6, x = -5, and x = 9. The correct option is A.

What are polynomials?

In mathematics, a polynomial is an expression that solely uses the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables. It is made up of coefficients and indeterminates.

The zeros of the polynomial function are the values of x that make f(x) equal to zero.

The polynomial f(x) is written in factored form as:

f(x) = (x - 6)(x + 5)(x - 9)

The zeros of the polynomial are the values of x that make any of the factors equal to zero. Therefore, the zeros are:

x - 6 = 0, which gives x = 6

x + 5 = 0, which gives x = -5

x - 9 = 0, which gives x = 9

Thus, the zeros of the polynomial function are x = 6, x = -5, and x = 9.

To know more about polynomials follow

https://brainly.com/question/30385780

#SPJ7

exactly 12 times as many females as males attended which learning activity?? mathh

Answers

the answer is writing since 18 times 12 is 216

I WILL GIVE BRAINLIEST IF IT'S CORRECT AND THE BEST ANSWER

Write a problem that can be answered using the line plot. ​

Answers

Answer:

What is the median amount of salt left

Step-by-step explanation:

Angle R and 92 are supplementary angles. What equation can you use to solve for R?
R+180=92
R+90=92
R+92=180
R+92=90
180+92=R

Answers

Answer:

Your answer is R+92=180

Step-by-step explanation:

Supplementary means angles that add up to 180, so R+92=180 has to be correct.

simplify 12 : 3 3/10 : 5.5​

Answers

12:3 3/10 :5.5 is the answer

Who can do this I confused except for number 1

Answers

What grade is this, then I can see

Use what you've just learned to answer these questions The set of all complex numbers with a given modulus (such as 5) always has the shape of a The modulus represents the of that shape​

Answers

Answer:

circle

radius

infinite

Step-by-step explanation:

have a wonderful day <3

If z is the complex number then IzI = 5 represents the equation of the circle.

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.

And the general formula of the circle,

(x – h)²+ (y - k)² = r²,

where (h, k) is the center and r is the radius of the circle.

Given:

The equation of the circle.

IzI = 5.

The set of all complex numbers with a given modulus (such as 5) always has the shape of a circle.

And the modulus represents the radius of the circle.

Therefore, the modulus represents the radius of the circle.

To learn more about the circle;

https://brainly.com/question/29142813

#SPJ2

solve the inequality

Answers

Answer:

x<3

Step-by-step explanation:

4x-7<5

4x<5+7

4x<12

x<3

Plz help me well mark brainliest if correct!!....

Answers

Answer:

B) Fifth Grade Boys

Step-by-step explanation:

The far right green line represents the fifth grade boys, and you can see that this lines up right in the middle of 50 and 60.

How many times longer I s on be mile that one foot

Answers

Answer:

5,280 times

hope this helps

have a good day :)

Step-by-step explanation:

Assume: Triangle CDE is a right triangle and Angle D is a right angle. What is the length of the missing side? A) 26 . B) 25 . C) 24 . D) 23 .​

Answers

Answer:

Length of base DE = 24 units

Step-by-step explanation:

Given:

In given triangle, right angle at D

SO,

Perpendicular of given triangle = 32 unit

Hypotenuse of given triangle = 40 unit

Find:

Length of base DE

Computation:

Using Pythagoras theorem

Base = √Hypotenuse² - Perpendicular²

Length of base DE = √Hypotenuse of given triangle² - Perpendicular of given triangle²

Length of base DE = √40² - 32²

Length of base DE = √1,600 - 1,024

Length of base DE = √576

Length of base DE = 24 units

Which towns are decreasing in size?

Answers

Answer:

I don't know how about you be more specific...

Like what country of what continent of what planet of what galaxy of what galaxy cluster of what universe of what dimension of what multiverse of what time?

You have to give more information on what towns

A nutritionist suspected that her company's clients had below average cholesterol. They obtained a random sample of 8 clients of the same age and gender. These clients had a mean cholesterol level of xˉ=4.28 mmol/L (millimoles per liter).
To see how likely a sample like this was to happen by random chance alone, the nutritionist performed a simulation. They simulated 60 samples of n=8 cholesterol levels from a normal population with a mean of 4.6 mmol/L and a standard deviation of 0.5 mmol/L (these are generally accepted values for people with the same age and gender of those in the sample). They recorded the mean of the cholesterol levels in each sample. Here are the sample means from their 60 samples:

They want to test H0:μ=4.6 mmol/L vs. Ha:μ<4.6 mmol/L where μ is the mean cholesterol level for all clients like those sampled.

Based on these simulated results, what is the approximate p-value of the test?
Note: The sample result was xˉ=4.28 mmol/L.

Answers

Answer:

p-value ≈ 0.05

Step-by-step explanation:

A certain academic program boasts that 87% of their graduates find full-time employment in their field within the first year of graduation. The academic director is concerned that market factors may have adversely affected the full-time placement rate and decides to perform a Hypothesis Test to see if her concern is warranted. The hypothesis test is performed at a 5% significance level and the resulting p-value is 0.07. Assume that all conditions for testing have been met and choose the statement that contains the correct conclusion.

a. there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
b. there is sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
c. there is sufficient sample evidence to conclude that the full-time placement rate is 87% because the p-value is greater than 0.05.
c. there is not sufficient sample evidence to conclude that the full-time placement rate is 87% because the p-value is greater than 0.05.

Answers

Answer:

Option A, there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.

Step-by-step explanation:

Here the Null hypothesis would be

H0: 87% of the graduates find full-time employment in their field within the first year of graduation

H1: Less than 87% of the graduates find full-time employment in their field within the first year of graduation

Here the p values is 0.07.

Since the p value is greater than 0.05, there are not enough evidences to reject the hull hypothesis.

Hence, option A is correct

Since the p-value is greater than the significance level, the correct option is:

a. there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.

At the null hypothesis, it is tested if the proportion is still of 0.87, that is:

[tex]H_0: p = 0.87[/tex]

At the alternative hypothesis, it is tested if it has decreased, that is:

[tex]H_1: p < 0.87[/tex]

Since the p-value is greater than the significance level, we do not reject the null hypothesis, and hence, the correct option is A.

A similar problem is given at https://brainly.com/question/25831511

which choice is equivalent to the product below when x>/0
√2x^2 ·√4x

Answers

the answer is: 2x sqrt 2x

The expression √(2x²) · √(4x) is equivalent to the expression 2x√2x. Then the correct option is D.

What is an equivalent expression?

The equivalent is the expressions that are in different forms but are equal to the same value.

The expressions are given below.

√(2x²) and √(4x)

Then the product of the expressions √(2x²) and √(4x) will be

⇒ √(2x²) · √(4x)

The factor of 2x² will be

2x² = 2 · x · x

The factor of 4x will be

4x = 2 · 2 · x

Substitute in the expression, then the expression will be

⇒ √(2 · x · x) · √(2 · 2 · x)

We know that √x² = x and √4 = 2. Then the expression will be

⇒ x√2 · 2√x

⇒ 2x√2x

Thus, the expression √(2x²) · √(4x) is equivalent to the expression 2x√2x.

Then the correct option is D.

More about the equivalent link is given below.

https://brainly.com/question/889935

#SPJ5

3.
What is the rate of change of this graph?
825
750
675
Account Balance (dollars)
600
525
450
375
300
0
1
2
3
4
5
6
7
00
9
10
Time (months)

Answers

9514 1404 393

Answer:

  -25 dollars per month

Step-by-step explanation:

It is convenient to compute the rate of change using points where the graph crosses grid intersections. A couple of these are ...

  (months, dollars) = (1, 675)  and  (4, 600)

Using the slope formula, we have ...

  m = (y2 -y1)/(x2 -x1)

  m = (600 -675)/(4 -1) = -75/3 = -25 . . . . . dollars/month

2) r = 4/4 cm
Calculate the diameter of the circle

Answers

Answer:

radius is 4/4 cm meaning its 1 cm, and since diameter is twice the radius its 2cm.

Step-by-step explanation:

Diameter is twice the radius

Recent research commissioned by Vodafone suggests that older workers are the happiest employees (BBC News, July 21, 2008). The report documents that 70% of older workers in England feel fulfilled, compared with just 50% of younger workers. A demographer believes that an identical pattern does not exist in Asia. A survey of 120 older workers in Asia finds that 75 feel fulfilled. A similar survey finds that 58% of 210 younger workers feel fulfilled.
At a 5% level of significance, test if older workers in Asia feel less fulfilled than their British counterparts.
a-1. Select the null and the alternative hypotheses.
H0: p ≥ 0.70; HA: p < 0.70
H0: p = 0.70; HA: p ≠ 0.70
H0: p ≤ 0.70; HA: p > 0.70
a-2. Calculate the sample proportion. (Round your answer to 3 decimal places.)
Sample proportion
a-3. Calculate the value of test statistic. (Negative value should be indicated by a minus sign. Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Test statistic
a-4. Calculate the p-value of the test statistic.(Round your intermediate calculations to 4 decimal places. Round "z" value to 2 decimal places and final answer to 4 decimal places.)
p-value
a-5. What is the conclusion?
Older workers in Asia feel less fulfilled
Older workers in Asia do not feel less fulfilled
At a 5% level of significance, test if younger workers in Asia feel more fulfilled than their British counterparts.
b-1. Select the null and the alternative hypotheses.
H0: p = 0.50; HA: p ≠ 0.50
H0: p ≥ 0.50; HA: p < 0.50
H0: p ≤ 0.50; HA: p > 0.50
b-2. Calculate the sample proportion. (Round your answer to 2 decimal places.)
Sample proportion
b-3. Calculate the value of test statistic. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Test statistic
b-4. Calculate the p-value of the test statistic.(Round your intermediate calculations to 4 decimal places. Round "z" value to 2 decimal places and final answer to 4 decimal places.)
p-value
b-5. What is the conclusion?
Younger workers in Asia feel more fulfilled
Younger workers in Asia do not feel more fulfilled

Answers

Answer:

H0: p ≥ 0.70; HA: p < 0.70

Sample proportion = 0.625

Test statistic = -1.79

Pvalue = 0.0367

Older workers in Asia feel less fulfilled

B.)

H0: p ≤ 0.50; HA: p > 0.50

0.58

2.35

0.0094

younger workers in Asia feel more fulfilled

Step-by-step explanation:

1.)

H0: p ≥ 0.70;

HA: p < 0.70

The test statistic :

(Phat - p) /sqrt(p(1-p)/n)

Phat = x / n = 75/120 = 0.625

1 - p = 1 - 0.7 = 0.3

(0.625-0.70) / sqrt(0.7*0.3/120)

-0.075 / 0.0418330

= - 1.79

Pvalue FROM Zscore calculator :

Pvalue = 0.0367

α = 5% = 0.05

Pvalue < α ; Reject then Null and conclude older workers in Asia feel less fulfilled than their British counterparts.

B.)

H0: p ≤ 0.50; HA: p > 0.50

Sample proportion, phat = 58% = 0.58

The test statistic :

(Phat - p) /sqrt(p(1-p)/n)

(0.58 - 0.50) / sqrt(0.58*0.42)/210)

0.08 / 0.0340587

Test statistic = 2.35

Pvalue FROM Zscore calculator :

Pvalue = 0.0094

α = 5% = 0.05

Pvalue < α ; Reject then Null and conclude younger workers in Asia feel more fulfilled than their British counterparts

The original price of sunglasses is $25. The sale price is 20% off the original price. How much money will be saved (what is the discount)?​

Answers

Step-by-step explanation:

5  $

A function that has f(-x)=-f(x) is known as what type of function? *

Answers

Answer: Odd function

An example would be the function f(x) = x^3

Note how f(-x) = (-x)^3 = -x^3 = -f(x)

In contrast, an even function is any function where f(-x) = f(x) for all x in the domain.

Answer:

Odd

Step-by-step explanation:

Barry can run 3/8
of a race in 1/2 hour.
Enter the amount of the race Barry can run in 1 hour.

Answers

Answer:

6/8

Step-by-step explanation:

we need to calculate 3/8 + 3/8 = 6/8

Answer:

3/4

Step-by-step explanation:

1 hour is 2 times 1/2 hour.

2 * 3/8 = 6/8 = 3/4

Other Questions
describe how to calculate the relative atomic mass Who first demonstrated the computer mouse?O MicrosoftO Alan TuringO Douglas EngelbartO Apple, Inc.FAST PLEASEEE THANK YOUUU The data shows that recently the size of the raccoon population decreased. How will the decrease in the raccoon population affect the other populations? Be sure to explain whether the owl population, the duck population, and the frog population will change, and why. PLEASE HELP (science by the way!!!) Select all the correct answers.In what two ways can readers gain a better understanding of a character in a novel?Analyze how a character talks and interacts with other characters in the novel.Pay attention to what other characters say about a character when he or she is not around.Pay attention to everything a character states is true about him or herself.Believe everything a narrator tells readers to be true about a character.Analyze the similarities and differences between a character and the author. Dibuja hdsaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa 1. What shape is a normal distribution curve? Humans contribute to many changes of areas such as beaches, bays, wetlands, the sea floor, and coral reefs. How does the deliberate alteration of the ocean or terrestrial topography negatively impact marine ecosystems? (Psychology) Hi, I just need help with these question. Dont put links to files or Ill report! How should this sentence be corrected to create parallelism?Carlos, and his cousin Manny like hiking, swimming, and they ride horses,.A. Change hiking to to hike.aB. Change swimming to they go swimming.C. Change they ride horses to horseback riding,DRemove his cousin. 2. A movie theater charges $15 for adults and children and $10 for seniors. Atotal of $1,270 was collected for movie ticket sales one night for a selectedmovie. The total number of tickets sold for that movie was 93. How manyadult and senior tickets were sold?b. Write the equations: How does Solomon support his claim that the people who accept their depression are the most resilient in overcoming it? Look at the image, then choose the best answer to the following question.What should the man do if he wants to reach the city center?A. Il doit continuer tout droit.B. Il doit faire demi-tour.C. Il doit prendre le mtro.D. Il doit tourner gauche. Calculate the density of the baseball. Use the formulaD= m/Vwhere D is the density, m is the mass, and V is thevolume.Determine whether the density of baseball is within thelegitimate range for an official baseball.Record your answers in Table C of your Student Guide.What is the density of the baseball?g/cm3The acceptable density range of official baseballs isbetween 0.70 g/cm3 and 0.80 g/cm3. Is thequestionable ball in this range of acceptable density? Consider this scenario. Stacy has been blind from birth. She is quite Independent because of her service dog. Jojl. One day Stacy and Joji enter arestaurant and take a seat at a table. A walter walks over to Stacy and says she cannot have her dog in the restaurant. Which of the following ismost likely to protect Stacy's right to be there with Joji?Civil Rights Act of 1964.American Society for the Prevention of Cruelty to Animals.Americans with Disabilities Act of 1990OD. People for the Ethical Treatment of Animals f(x)=x^2. What is g(x)?A. g(x)=-x^2B. g(x)=x^2-2C. g(x)=-2x^2D. g(x)=-x^2-2 Find the dividend if quotient is x3, remainder is 7x9 and divisor is x^2-2 Hidesato felt very sorry for the Dragon King on hearing his story, and readily promised to do what he could to help him. The warrior asked where the centipede lived, so that he might attack the creature at once.What lesson does this excerpt reflect?Helping others is always worth the risk.It is important to be generous with others.A person with enemies should not be trusted.Some people cannot help themselves. Which factors are to be considered when using historical criticism to analyze a text? Select 3 options How did KKK, Jim Crow Laws, and poll taxes show resitence to change the south When did the Tour de France start?