cos2x-cos 4x
lim
x-0 1-cos 2x cos 4x

Answers

Answer 1

After evaluating the limit we get the answer as 3/5.

Given the expression is : limₓ₋₋₎₀ cos 2x ₋ cos 4x/1-cos2xcos4x

= limₓ₋₋₎₀  cos2x - (2cos²2x ₋ 1)/1-cos2x(2cos²2x - 1)

= limₓ₋₋₎₀  -2cos² + cos2x +1/₋2cos³2x + cos2x + 1

let u =cos2x that is, u → 0

= limu₋₋₎₁  -2u²+u+1/₋2u³+u+1

= limu₋₋₎₁  2u + 1/2u²+2u+1

= 2+1/2×1² + 2 × 1 +1

= 3/2+2+1

= 3/5

hence we get the value as 3/5.

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Related Questions

What’s the solution for this 4(1-x)+2x=-3(x+1). ?

Answers

Answer: x = -7

Step-by-step explanation:

4(1 - x) + 2x = -3(x + 1)

First, use distributive property

4 - 4x + 2x = -3x + -3

Combine like terms

4 - 2x = -3x - 3

Add 3x to each side

4 + x = -3

Subtract 4 from each side

x = -7

Answer:

-2

Step-by-step explanation:

1. Equation at the end of step 1  ((4•(1-x))+3x)-(0-2•(x-1))  = 0

2. Equation at the end of step 2 (4 • (1 - x) +  3x) -  -2 • (x - 1)  = 0

3. Equation at the end of step 3  x + 2  = 0

4. End of equation Solve  :    x+2 = 0

8. Sheila buys two concert tickets from her friend.
She pays $90 for the two tickets. She looks at the
tickets and sees that each ticket has a face value
of $52.50.

B.What was the percent markdown, rounded to the nearest whole percent

Answers

Cost of two tickets that Sheila paid to her friend = $ 90

Actual price of 1 ticket = $ 52.50

So, actual price of 2 tickets = 52 x 2 = 105

Hence, markdown or discount Sheila's friend gave her is =

105 - 90 = 15

The answer is $15.

Answer:

15

Step-by-step explanation:

105 - 90 = 15


Translate (3, – 4) down 3 units.
Then reflect the result over the y-axis.

Answers

Answer:

your answer should be (-3,-7)

Mikes cookie recipe needs 3/4 cup of sugar. Jans recipe needs 1/2 cup of sugar. How much more sugar does mike need than Jan?

Answers

Answer:

1/4

Step-by-step explanation:

simple

1/4 because 2/4 equals 1/2 and they have 3/4 which is just a fourth from 2/4 which is half so the answer is :1/4

The Ruiz family is saving to buy a new house. They have $5,000 to start a new savings account that has an interest
rate of 3.4%, compounded continuously. The family must move into the new house in 18 months. How much money
will be in the savings account after 18 months?
P=Ie^rt
a.$2711
C. $5316
b. $5262
d. $9221

Answers

This answer is (B) $5262.

Answer:

b on edge 2021

Step-by-step explanation:

took the test :)

I don’t know this, pleas help!!

Answers

I think it would be AAS

Answer:

Step-by-step explanation:

   

The first term of an arithmetic sequence is 24 and the 19 term is-48. What is the
common difference?

Answers

Answer:

common difference d = - 4

Step-by-step explanation:

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

given a₁ = 24 and a₁₉ = - 48 , then

24 + 18d = - 48 ( subtract 24 from both sides )

18d = - 72 ( divide both sides by 18 )

d = - 4

Mae Ling earns a weekly salary of $300 plus a 7.0% commission on sales at a gift shop. How much would she make in a work week if she sold $4,600 worth of merchandise?

She would make.. ______________

Answers

Answer: $622 in one work week.

Step-by-step explanation:

We need to start by multiplying $4,600 by 7% in order to calculate her commission sales prophets (=$322.0). It is given that her weekly salary is $300.

Add her sales prophet rewards ($322) to her given weekly salary income (300)

$322+$300= $622.0

A 5 piece pack of gum costs $0.85 An 8 piece of gum cost $1.20 how much cheaper per piece is the 8 piece pack

Answers

Answer:

It's $0.02 cheaper per piece in the 8 piece pack.

What is the solution to the equation 9x - 1
= 80.
X = -9
X = 1
x = 81
x=9

Answers

Answer:

x = 9

Step-by-step explanation

9x - 1 = 80

add 1 to both sides and you get

9x = 81

divide each side by 9 and you get

x = 9

The solution of equation 9x - 1 = 80 by combining like terms with the use of operations addition, division, etc is x = 9. Hence option 4 is true.

Used the concept of an equation that states that,

An equation is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.

Given that the expression is,

9x - 1 = 80

Now simplify the expression by combining like terms with the use of operations addition, division, etc.

The expression is,

9x - 1 = 80

Add 1 on both sides,

9x - 1 + 1 = 80 + 1

9x = 81

Divide both sides by 9,

x = 81/9

x = 9

So, x = 9 is the solution of expression.

Thus option 4 is true.

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A shop sells bagels for $5 per dozen. You can use the table to answer the questions. Explain your reasoning.

number of bagels price in dollars
row 1 12 5
row 2
row 3
row 4
At this rate, how much would 6 bagels cost?
How many bagels can you buy for $50?

Answers

Answer:

1. 2.50$

2. 120

Step-by-step explanation:

..................

Your friend Jesse has just started his first scholarship application, and you notice that the application is asking
for his credit card information. You quickly tell him it could be a scam and give him three more signs to look
out for. What three signs do you tell him?

Answers

Answer:

Nobody representing a legitimate scholarship can or will be able to guarantee that you’ll win. Some services even boast they can guarantee the actions of another organization – they can’t. There are false promises and will likely result in something other than you obtaining money for school.

If someone contacts you, via phone, mail or email, offering you a scholarship, and you never requested information from that provider, be very careful. Scholarships are awarded to you after an application process – they are not just given out to random students – no matter how special they are.

Applying for legitimate scholarships does not cost money -- EVER! Submitting such applications will cost you time and effort, but should never cost money, no matter how small the amount.

Scholarships do have deadlines; however, they are usually clearly stated within the application guidelines. Legitimate providers don’t pressure students into applying for their scholarships; they have enough interest on their own. They also ensure that students have ample time to work on their scholarship applications and essays. If you ever feel pressured and are observing that it’s a “now or never” scenario, the scholarship is likely a scam.

The Firstly nobody representing a legitimate scholarship can and  will be able to guarantee that you will win.

Scholarships are awarded to you after an application process at that time  they are not just given out to random students

Applying for legitimate scholarships does not cost money  ever are three signs Jesse has tell his friend.

Firstly nobody representing a legitimate scholarship can and  will be able to guarantee that you will win.

Some services even boast they can guarantee the actions of another organization so  they can’t.

There are false promises,

What is the meaning of false promise?

False Promise negates the damage while the others do not.

likely result in something other than you obtaining money for school.

If someone contacts you, via phone, mail or email, offering you a scholarship, and you never requested information from that provider, be very careful.

Scholarships are awarded to you after an application process at that time  they are not just given out to random students

No matter how special they are.

Applying for legitimate scholarships does not cost money  ever. Submitting such applications will cost you time and effort, but

Should never cost money, no matter how small the amount.

Scholarships do have deadlines,

However, they are usually clearly stated within the application guidelines.

Legitimate providers don’t pressure students into applying for their scholarships

They have enough interest on their own.

They also ensure that students have ample time to work on their scholarship applications and essays.

If you ever feel pressured and are observing that it’s a now or never scenario, the scholarship is likely a scam.

To learn more about more about the signs visit:

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Find the distance between A(2,4) B(3,6)

Answers

Answer:

[tex]d = \sqrt{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra II

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point A (2, 4)

Point B (3, 6)

Step 2: Find distance d

Substitute:                    [tex]d = \sqrt{(3-2)^2+(6-4)^2}[/tex]Subtract:                       [tex]d = \sqrt{(1)^2+(2)^2}[/tex]Exponents:                   [tex]d = \sqrt{1+4}[/tex]Add:                              [tex]d = \sqrt{5}[/tex]

given the following equation:

f(x)=(-7)x + -3

Find the following information: f(4) + f(4)

Answers

i think that it would be -62

suppose that a cylinder grows by only changing its radius (similar to one of the growth models in the breathing worms studio). if the radius of the cylinder doubles, by what factor will the volume of the cylinder increase?

Answers

The volume of the cylinder will increase by a factor of 4 if the radius of the cylinder doubles.

Volume is the amount of space occupied by a three-dimensional object or region of space and expressed in cubic units.

To get the volume of a cylinder, multiply the area of the circular base with the height:

V = [tex]\pi r^{2} h[/tex]

where

r is the radius of the base (circle) of the cylinder

h is the height of the cylinder

Thus, the volume of cylinder directly varies with its height and directly varies with the square of its radius

So if the radius of the cylinder doubles,

V = [tex]\pi (2r)^{2}h[/tex]

V = [tex]\pi (4r^{2}) h[/tex]

V = [tex]4\pi r^{2} h[/tex]

Then, the volume will increase by a factor of 4.

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trever spends $240 in 3 weeks how much will he spend in 8 weeks?

Answers

Answer:

He will spend $560 in 8 weeks

Step-by-step explanation:

So 260 for every 3 weeks how much will he make in 8 weeks

so 240+ 240

cause he makes 240 every 3 weeks

so he will make 480 in 6 weeks.

then to get how much he makes in 1 week you divide 240 into 3

so 240 divided by 3 equals 80 So he makes 80 in 1 week.

So 240+240+80=560

So he make $560 in 8 weeks

Please help asapp!!!?!!?!?!?

Answers

Answer:

I am sorry I just saw the question!

Erica says that she can run 16 miles in two hours, but her father wants to know how many feet she ran. How can Erica convert the 16 miles into feet? In complete sentences explain how she can convert miles into feet and compute the number of feet she can run in two hours.

Answers

1 mile= 5,280 ft
16 x 5,280= 84,480

She can convert miles into feet by multiplying 16 by 5,280. She ran 84,480 feet.

Ari can make 15 cookies in 20 minutes. At this rate, how many cookies can Ari make in 4 hours?

Answers

Answer:

180

Step-by-step explanation:

60 * 4 = 240

240 / 20 = 12 groups of 20

12*15 = 180

180 cookies

On,Saturday, Alexa babysat her neighbors kids for 180 minutes. Then, on Sunday she babysat her little brother for 2 hours.how many hours did she babysit on Saturday and Sunday .

Answers

Answer:

5 hours

Step-by-step explanation:

To change minutes to hours you will have to divide the total minutes by 60 (because 60 minutes is in one hour), in this situation it would look like this:

180/60 = 3

So, Alexa babysat for 3 hours on Saturday.

Now, just add the 3 hours from Saturday and 2 hours from Sunday and you get a total of 5 hours!

I hope this helps!!

- Kay :)

please help this is due tmrw!!!​

Answers

Answer: B.

Step-by-step explanation: In 2010, you have 15 games won. Then, in 2011, you have 12 games won. The rate of change is -3.

HELPPPPPP SOLVE FOR X

Answers

Answer:

x = 6

Step-by-step explanation:

These are supplementary angles.

This means that the angles add up to 180 degrees.

The first thing we can do is set 6y equal to 90, because the little red box means that is 90 degrees.

6y = 90

y = 15

Now that we have found y we can solve for x.

Plug in the y to the 5x + 4y

5x + 4(15)

5x + 60

We can set this equal to 90 again

5x + 60 = 90

5x = 30

x = 6

Therefore x is equal to 6.

I hope this helps!!

- Kay :)

Answer:

x= 6

Step-by-step explanation:

Straight line: is equaled to 180 degrees.

6y= 90 (90 divided by 6= 15), so y= 15

5x + 4y= 90 --> 5x + 4(15)= 90 --> 5x + 60= 90 --> 90 - 60= 30 --> 5x= 30 (30 divided by 5= 6), so x= 6

5

start fraction, 5, divided by, 4, end fraction hour ==equals
minutes

Answers

When given the value of 5/4 hours then in minutes this is equal to 75 minutes.

How to convert hours to minutes?

In every hour, there are 60 minutes. If you want to covert hours to minutes therefore, you multiply the number of hours by 60 minutes.

When given the number of hours as 5/4 hours, in minutes this becomes:

= Number of hours x 60 minutes per hour

= 5/4 x 60 minutes per hour

= 300 / 4 minutes

= 75 minutes

In conclusion, the number of minutes in 5/4 hours is equal to 75 minutes.

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Which graph represents a bike traveling at a constant rate of
12 miles per hour?

Answers

Answer:

what graph?...........

i just need help lol

Answers

Answer:

The correct answer would be c :)

Step-by-step explanation:

What is 3,348 rounded to the nearest hundred?

Answers

Answer:

3,300

Step-by-step explanation:

Answer:

3, 348 rounded to the nearest hundred is 3, 300.

Step-by-step explanation:

Let's have a look at the hundreds place. The number "3" is in the hundreds place, which has the value 300 since 3*100 = 300. What is the number next to the three in the hundreds place? Well, it is 4, which has the value of 40 since 4*10 = 40.

Remember, 4 or less, let it rest (this means keep the number and make the other numbers after it into zeroes).

5 or more, let it soar (this means to add one to the number and make the other numbers after it into zeroes).

can someone PLEASE help

Answers

Answer:

34

Step-by-step explanation:

Answer:

x is 8

Step-by-step explanation:

Find the measure of each angle indicated. Plz

Answers

Answer:

55degrees

Step-by-step explanation:

A sweater is $35. It is discounted by 28%. What is the discounted price?

Answers

Answer:

Discount price is $25.2

Step-by-step explanation:

Which expression is NOT equivalent to 10a + 12?
a.32 + 3 + 5a + 5a

b.42 + 22 + a

c.8 + 1a + 9a + 22

d.32 − 22 +7 + 10a

Answers

The answer for this one would Be B
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