Solve the following equation on the interval (0,2π)

cos2x=cosx

Answers

Answer 1

Answer:

x = 0, 2π/3, 4π/3, 2π.

Step-by-step explanation:

cos 2x = 2cos^2x - 1 so

2cos^2x - 1 = cos x

2cos^2x - cos x - 1 = 0

(2cosx + 1)(cos x - 1) =0

cos x = -1/2, 1.

When cos x = 1, x = 0, 2π

when cos x = -1/2, x = 2π/3, 4π/3.


Related Questions

ILL MARK BRAINIEST IF YOU CAN DO THIS CORRECTLY!!!

Answers

Answer:

76/100

Step-by-step explanation:

19/25 * 4/4=76/100

Please help me with this question:)

Answers

Answer:

Ada is correct.

Step-by-step explanation:

Problems with Naman:

Naman is supposed to follow PEMDAS, which is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Division

Addition

Subtraction

~

The mistake: Naman moved +6 to the left and added it to the 2 located on the left side of the expression. You cannot do that, as it breaks the law of PEMDAS. On the other hand, Ada did the correct thing, which was to distribute 2 to all terms within the parenthesis (as one term in the parenthesis has a variable, and the other is a constant, meaning that they cannot be combined). This leads to Naman not doing the rest of the question correct.

Next, Ada correctly combined the two constants, which resulted in 0. 0 means nothing, therefore the placeholder is not needed. Therefore, 8x is the final answer.

Subtract -2x^2+3x-9−2x 2 +3x−9 from 8x^2+10x-108x 2 +10x−10.

Answers

32 263748584872eiiei

Help help help help me pls !,!,!,

Answers

Answer:

96

Step-by-step explanation:

First, you find the area of RPQ using 1/2×base×height. That is, 1/2×6×8. And the answer is 24. Then you multiply 24 by 4 to get the area of all the sides excluding the base to get 96.

pls help it’s due in 20 minutes solve by using PEMDAS

Answers

Answer:

23

Step-by-step explanation:

2a/3 + 13 where a = 15

Step 1. Substitute a for 15

2(15)/3 + 13

Step 2. Multiply

30/3 + 13

Step 3. Divide

10 + 13

Step 4. Add

23

Answer:

23

Step-by-step explanation:

30/3 + 13/1

23

At the county fair, 12% of the
people who attended received
free water bottles. If 1,500 people
received free water bottles, how
many people went to the fair?

Answers

Answer:

12,500 people went to the fair.

Step-by-step explanation:

Set up an equation:

Variable x = number of people who went to the fair

12/100 = 1500/x

Cross multiply:

12 × x = 100 × 1500

12x = 150000

x = 12500

Check your work:

12500 × 12%

Convert percentage into a decimal:

12500 × 0.12

1500

1500 people received water bottles so this is correct!

i can't answer this question for pre-algebra (9^3)6 =

Answers

Answer:

9^18

Step-by-step explanation:

We know that a^b^c = a^(b*c)

(9^3)^6

9^(3*6)

9^18

What is the percentage change from 17 to 74

Answers

Answer:

= 22.97.

Step-by-step explanation:

A corvette accelerates from rest at 5.60 m/s^2 for 5 seconds. What is the corvette’s final speed?

Answers

Answer:

140 meters/second

Step-by-step explanation:

Describe 2 ways to find the area of the shaded rectangle

Answers

Calculate the area of both shapes. The area of a rectangle is determined by multiplying its length times its width. The area of a circle is Pi (i.e., 3.14) times the square of the radius. Find the area of the shaded region by subtracting the area of the small shape from the area of the larger shape.

please solve this please anyone...​

Answers

Answer:

A.

f(1.999)= 5(1.999) +1

= 9.995 + 1

=10.995

B. 11

Step-by-step explanation:

[tex]f(x) = 5x + 1 \\ f(1.999) = 5 \times 1.999 + 1 = 9.995 + 1 \\ = 10.995 \: can \: round \: in \: to \: 11 \\ thank \: you[/tex]

A store had sales of $483.9 billion in 2016 and $536.4 billion in 2018. Use the Midpoint Formula to estimate the sales (in billions of dollars) in 2017. Assume that the sales followed a linear pattern.

Answers

The sales in 2007 will be $752.1 billion

The Midpoint Formula to estimate the sales (in billions of dollars) in 2017 will be calculated as the sales in both years divided by 2 and this will be:

= [2016 sales + 2018 sales} / 2

= [$483.9 billion + $536.4 billion] / 2

= $1020.3/2

= $752.1 billion

Therefore, the sales in 2017 is $752.1 billion.

Read related link on:

https://brainly.com/question/24446579

Simplify
(m^3)^6 - m^18

Answers

Answer:

x

2

+

x

7

x

+

2

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

m^18 - m^18 (using power law of indices)

0

Find the value of ab when a=1/10 and b=7/10​

Answers

Answer:

7/100

Step-by-step explanation:

ab = (a) x (b) = (1/10) x (7/10) = 7/100

-5=-10+ find the missing value

Answers

Answer:

the missing values is 5

I hope it's helps you to

Answer:

+5

Step-by-step explanation:

-5=-10+5

-5=-5

-+-=-

+-+=+

What is the value of the expression 6( -5 1/4 ?

Answers

Answer:

-63/2

Step-by-step explanation:

6( -5  1/4)

= 6(-21/4)

= -63/2

I need answer pls help

Answers

Answer:

A

Step-by-step explanation:

Cuz

8. The sum of any two consecutive prime numbers is also prime.

Answers

Answer and Step-by-step explanation:

This statement is false because it doesn't apply to all consecutive prime numbers.

Try it yourself.

Take any 2 consecutive numbers, add them together, and see if it is a prime number.

2 + 3 = 5 -- Prime Number

- Factors: 1, 5

3 + 5 = 8 -- Not a Prime Number

- Factors: 1, 2, 4, 8

#teamtrees #PAW (Plant And Water)

I hope this helps!

y-3 = 2(x+1)
fiind the missing value ?

Answers

Step by step process:

Let's solve for x.

y−3=2(x+1)

Step 1: Flip the equation.

2x+2=y−3

Step 2: Add -2 to both sides.

2x+2+−2=y−3+−2

2x=y−5

Step 3: Divide both sides by 2.

2x/2=y−5/2

x=1/2y+(−5/2)

Answer: x=1/2y+(−5/2)

Let's solve for y.

y−3=2(x+1)

Step 1: Add 3 to both sides.

y−3+3=2x+2+3

y=2x+5

Answer:

y=2x+5

If 2^10 + 2^10 = 2^x, what's x?

Answers

Answer:

11

Step-by-step explanation:

2^10 + 2^10 = 2^x

1024 + 1024 = 2^x

2,048 = 2^x

x = 11

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]x = 11[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\2^{10}+2^{10} = 2^x\\--------------\\\rightarrow 2^{10} = 1024\\\\\rightarrow 1024 + 1024 = 2^x\\\\\rightarrow 2048 = 2 ^x\\\\\rightarrow log(2^x)=log(2048)\\\\\rightarrow xlog(2)=log(2048)\\\\\rightarrow \frac{log(2)}{log(2)} =\frac{log(2048)}{log(2)}\\\\\rightarrow x = \frac{log(2048)}{log(2)}\\\\\rightarrow \boxed{x = 11}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

please help me out on this !! i really need it !!

Answers

Joni. I think. I’m sorry if it’s wrong
Joni's calculation is the most accurate. Hope my answer helped u :)

2,8,18,32,50,72 which term is the sequence is 512?

Answers

Answer:

16

Step-by-step explanation:

2+6=8

8+10=18

18+14=32

6+4=10 10+4=14

an+1=an+(2+4n)

a7=a6+26=72+26=98

a8= a7+30= 98+30=128

a9=a8+34=128+34= 162

a10=a9+38= 162+38=200

a11=a10+42= 242

a12=242+46=288

a13=288+50= 338

a14=338+54= 392

a15=392+58= 450

a16= 450+62=512

To which number sets would ✓16 belong? Check

all that apply.

(Select all that apply.)

Natural

Whole

Integers

Rational

Irrational

Answers

Answer:

16 is rational , interger , Whole.

The perimeter of a rectangle is
144 inches. The width is 8 inches
less than the length

Answers

Rectangle perimeter formula is A=2(w+l)
We would take length as “x”.
Then width would be x-8, in case that it is 8 inches less than length.
After that, we would switch parameters in formula and we would get:
A = 2 (w+l)
144 = 2*(x-8+x)
144 = 2*(2x-8)
144 = 4x - 16 ((2*2x)-(2*8))
144 + 16 = 4x
160 = 4x
X = 160:4
X = 40.

Then length is 40, and width is 40-8=32.

Evaluate each expression.

Answers

1/81 because 1/3*1/3*1/3*1/3= 1/81
It would be 1/81, you put the fourth power on each separate number in the fraction so one to the fourth power and three to the fourth power to get 1/81.

what is this pls help me​

Answers

Answer:

D’=(3,3); F’=(-2,-2); E’= (-5,0)

Step-by-step explanation:

To find the reflection over the y axis (the line x=0), you just need to change the x either from positive to negactive or the opposite.

Add −1.25+2.5

Plot the addend on the number line





I need the answers to 1.04 adding decimals.
1. -1.25+ 2.5
plot the addend number on the number line
2.

Answers

Answer:

Add −1.25+2.5 Plot the addend on the number line I need the answers to 1.04 adding decimals ... - did not match any documents.

Suggestions:

Make sure that all words are spelled correctly.

Try different keywords.

Try more general keywords.

Try fewer keywords.

Answer:

Plot the numbers -1.25 and 1.25

Step-by-step explanation:

You have to plot these two numbers on the number line.

if mr. Lu has 12 apples and oranges and missing you so that's three apples is only two oranges if they spent the same amount of money on fruit how much is an Apple worth still compared to an orange​

Answers

Answer:

The ratio of oranges to apples is 2:3.

Step-by-step explanation:

Answer:

If they spent the same amount of money, then an apple is $2 less then an orange.

Step-by-step explanation:

So, we already know that Lu has 12 apples and oranges. We also know the ratio: 3 apples:2 oranges.

So, in order to see the cost of one apple and one orange, we need to divide the number 12 by these numbers.

12 ÷ 3 = $4 per apple

12 ÷ 2 = $6 per orange

Therefore, if they spent the same amount of money, (which can only give them 3 apples for $12, or 2 oranges for $12), then an apple is $2 less then an orange.

Para la instalación eléctrica de una casa se necesitan 775 metros de cable rojo y 875 metros de cable negro, el rollo de cable rojo tiene 125 pies y el rollo de cable negro tiene 150 pies de largo. ¿Cuántos rollos de cable rojo se necesitan para la instalación eléctrica? ¿Cuántos rollos de cable negro se necesitan para la instalación eléctrica?

Answers

Answer:

8 thanks no se la respuesta

What is the median of the following data values?
17, 19, 20, 21, 22, 25, 29, 30, 32, 35
O A. 24.5
O B. 22
O c. 25
O D. 23.5

Answers

Answer:

[tex]\boxed {\boxed {\sf D. \ 23.5}}[/tex]

Step-by-step explanation:

The median is the number in the middle of a set of data. To find, we place the numbers in order from least to greatest and pick the middle number.

The data set is:

17, 19, 20, 21, 22, 25, 29, 30, 32, 35

This is already in order from least to greatest, so we can begin removing numbers from each side of the list until the middle is reached.

19, 20, 21, 22, 25, 29, 30, 3220, 21, 22, 25, 29, 30 21, 22, 25, 2922, 25

Now we have 2 numbers that are in the middle. To find the median, we take the mean or average of these 2 numbers. Add them together, then divide by 2.

22 + 25= 4747/2 = 23.5

The median of this data set is 23.5 and choice D is correct.

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