prove that 2^n+1>(n+2).sin(n)​

Answers

Answer 1

Step-by-step explanation:

F(n)=|sin(n)|+|sin(n+1)|

then

F(n+π)=|sin(n+π)|+|sin(n+π+1)|=|sin(n)|+|sin(n+1)|=F(n)

and

F(π−n)=|sin(π−n)|+|sin(π−n+1)|=|sinn|+|sin(n−1)|≠F(n)

so we must prove when n∈(0,π), have

F(n)>2sin12

when n∈(0,π−1),then

F(n)=sinn+sin(n+1)=sinn(1+cos1)+sin1cosn

and n∈(π−1,π),then

F(n)=sinn−sin(n+1)

How prove it this two case have F(n)>2sin12? Thank you

and I know this well know inequality

|sinx|+|sin(x+1)|+|sin(x−1)|≥2sin1,x∈R


Related Questions

Find the area in the right tail more extreme than z=0.93 in standard normal distribution, rounded to three decimal places.

Answers

Answer:

17.62%

Step-by-step explanation:

z→   ρ

0.93 (L)0.82381 (R)0.17619

17.62% / 82.38%

The area in the right tail more extreme than z=0.93 in standard normal distribution is 17.62% rounded to three decimal places.

What is a normal distribution of data?

A normal distribution of data occurs when the majority of data points are relatively similar and the data set has a small range of values.

We need to find the area in the right tail more extreme than z=0.93 in standard normal distribution.

Here, z=0.93

z→  ρ

The mean ( the population mean, at 0.93 standard deviation units, and it represents an area that is, 17.619% of the total area of the standard distribution).

In this normal distribution, every given score is a z-score. A z-score explain us the distance from the mean in standard deviation units.

A = 17.62% / 82.38%

Hence, The area in the right tail more extreme than z=0.93 in standard normal distribution is 17.62% rounded to three decimal places.

Learn more about standard deviation and variance:

https://brainly.com/question/11448982

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what is twice the amount of 86

Answers

Answer:

172

Step-by-step explanation:

[tex]86[/tex] × 2 = 172

172, if you take 86 and multiply it by 2 it will give you 172. Basically do this-

Concord Company purchased a machine on July 1, 2021, for $29,400. Concord paid $210 in title fees and county property tax of $131 on the machine. In addition, Concord paid $525 shipping charges for delivery, and $499 was paid to a local contractor to build and wire a platform for the machine on the plant floor. The machine has an estimated useful life of 6 years with a salvage value of $3,150.

Answers

Answer:NONE

Step-by-step explanation:

No question asked

Please help !!!!!!! Asap

Answers

Answer:

A, C, E, G

Step-by-step explanation:

Basic set operation

Fill in the blanks.
(3b^3)^2 = _b^_

Answers

We can seperate (3b³) into two different parts, the constant and the variable.

The constant (3) and the variable (b) can both be squared and multiplied to get the correct answer, so:

3² = 9

(b³)² = [tex]b^{6}[/tex]

So, [tex](3b^{3})^{2} = 9b^{6}[/tex]

Find QR. please help I’m so lost on this I’ve done it i don’t know how many times. And got it wrong.

Answers

Answer:

Step-by-step explanation:

Using the theorem of the middle in a triangle:

[tex]2x+22=\dfrac{x+20}{2} \\\\4x+44=x+20\ cross\ products\\\\3x=-24\\\\x=-8\\[/tex]

Write the number 12794.5 in scientific notation.​

Answers

The answer to ur problem is 1.27945

Answer:

the other guy is wrong the answer is 1.27945 × 10 but then 10 is to the power of 4 but I do not know how to type that.

Step-by-step explanation:

To convert 12794.5 into scientific notation, follow these steps:

1.       Move the decimal 4 times to left in the number so that the resulting number, m = 1.27945, is greater than or equal to 1 but less than 10

2.      Since we moved the decimal to the left the exponent n is positive

n = 4

3. Write in the scientific notation form, m × 10 to the power of n

= 1.27945 × 10 to the power of 4

Therefore, the decimal number 12794.5 written in scientific notation is 1.27945 × 10to the power of 4 and it has 6 significant figures.

Turn 1 1/5 to improper fraction

Answers

Answer:

6/5

Explanation:

Step 1

Multiply the denominator by the whole number

5 × 1 = 5

Step 2

Add the answer from Step 1 to the numerator

5 + 1 = 6

Step 3

Write answer from Step 2 over the denominator

6/5I hope this answer helps you out! Brainliest would be appreciated.


When two resistors with resistances of A ohms and
B ohms are in a parallel-series circuit, the total
resistance, R, in ohms, is given by the equation above.
According to this equation, which of the following
resistances of the two resistors would yield the greatest
total resistance?
A) 1 ohm and 1 ohm
B) 1 ohm and 2 ohms
C) 1 ohm and 4 ohms
D) 2 ohms and 2 ohms

Answers

Step-by-step explanation:

Answer: D) 2 ohms and 2 ohms

Find f(2) given f(x) = -3x^3 + x^2 – 3

Answers

Answer:

D

Step-by-step explanation:

f(x) = -3x^3 + x^2 – 3       f(2) means that wherever you see a x, put in a 2.

f(2)= -3(2)^3 + (2)^2 - 3

f(2) = -3*8 + 4 - 3

f(2) = - 24 + 1

f(2) = - 23

f(x)=-3x^3+x^2-3

[tex]\\ \sf \longmapsto f(2)[/tex]

[tex]\\ \sf \longmapsto -3(2)^3+(2)^2-3[/tex]

[tex]\\ \sf \longmapsto -3(8)+4-3[/tex]

[tex]\\ \sf \longmapsto -24+1[/tex]

[tex]\\ \sf \longmapsto -23[/tex]

5. Refer to the figure shown. Determine the measure of
the unknown angle. Show or explain your thanking.

Answers

Answer:

you haven't posted any diagram

Step-by-step explanation:

please solve thanks!​

Answers

Answer:

x = 25

Step-by-step explanation:

The two angles form a straight line so they add to 180

5x-5 + 2x+10 = 180

Combine like terms

7x +5 = 180

Subtract 5 from each side

7x+5-5 = 180-5

7x = 175

Divide by 7

7x/7 = 175/7

x = 25

Answer:

the value of x = 25

Step-by-step explanation:

[tex]\sf{}[/tex]

♛┈⛧┈┈•༶♛┈⛧┈┈•༶

✌️

The quotient of -8 and the sum of a and b

Answers

Hi! I'm happy to help!

To solve this, you need to know what all of the terms mean. Quotient means division, and sum means addition. Knowing this we can set up our expression.

Because there is an operation inside of an operation (addition inside of division) we use parenthesis.

-8÷(a+b)

I hope this was helpful, keep learning! :D

The HCF of two numbers is 175. The LCM of these two numbers is 12600. Both numbers are greater than their HCF. Find the two numbers

Answers

Answer:

Hello,

Answer : 1400 and 1575

Step-by-step explanation:

Let's say a and b the ywo numbers

[tex]HCF(a,b)=a\vee b=175=5^2*7\\LCM(a,b)=a\wedge b=12600\\\\a*b=(a\vee b)*(a\wedge b)=(2^3*3^2*5^2*7)*(5^2*7)=2^3*3^2*(5^2*7^2)^2\\\\Both\ numbers\ are\ greater\ than\ their HCF\\a=175*k_1\\b=175*k_2\\\\k_1=2^3\ and\ k_2=3^2\\\\a=175*2^3=1400\\b=175*3^2=1575\\\\[/tex]

first person to coment on this gets a brainliest

Answers

Answer:

..?.

Step-by-step explanation:

As part of an enterprise day, Guramar and Gurnam baked 4 cakes. They gave 1/2 of one cake away to the staff. In the morning they sold 2 1/3 cakes and in the afternoon they sold 1 1/8. How much cake did they have left?

Answers

9514 1404 393

Answer:

  1/24 of a cake

Step-by-step explanation:

The remaining amount of cake was ...

  4 -1/2 -2 1/3 -1 1/8 = 4 -12/24 -2 8/24 - 1 3/24 = (4 -2 -1) -(12 +8 +3)/24

  = 1 -23/24 = 1/24

1/24 of a cake was left

_____

Basically, crumbs.

find the quotient 1/5 / (-5/7) =

Answers

Answer:

-7/25

Step-by-step explanation:

1/5 ÷ (-5/7)

Copy dot flip

1/5 * -7/5

-7/25

a contractor charges $1200 for 100 square feet of roofing installed. at this rate how much does it to have 1,100 square feet installed​

Answers

Answer:

$13,200

Step-by-step explanation:

if 100 square feet = $1,200

1,100 square feet = $13,200

Cho f là hàm chẵn, g là hàm lẻ. Tính giá trị của (g∘f)(−4,7), biết g(5,9)=7,9 và f(4,7)=5,9.

Answers

Step-by-step explanation:

yah language mujhe samajh mein nahin a rahi hai kya karu aapki is bataiye

Identify the x-intercept point(s) of the parabola.
A) (0,3) and (-1,0)
B) (3,0)
C) (3,0) and (0,3)
D) (-1,0) and (3,0)

Answers

Answer:

D

Step-by-step explanation:

First of all, there are 2 different points. That lets out B.

The graph crosses the x axis at 3 and -1 Those two are x values. That lets out C and A.

So all you are left with is D. The y values have to be 0. The x values are 3 and - 1

HELP WHAT DOES THIS EVEN MEAN [CRY]

Answers

Radius=r=5cm.

[tex]\\ \sf\longmapsto A=πr^2[/tex]

[tex]\\ \sf\longmapsto A=3.14(5)^2[/tex]

[tex]\\ \sf\longmapsto A=3.14(25)[/tex]

[tex]\\ \sf\longmapsto A=78.5cm^2[/tex]

HELP ILL GIVE BRAINLIESTTTT

Evaluate and simplify the expression
when a = 3 and b = 2.
3b – 2(1 – b)
[?]
a - 2

Answers

Answer:

11

Step-by-step explanation:

plz watch all steps in pic

At which times could Rory's phone have been plugged into the charger? Select three options.

Answers

Answer:

what three options bro where are the options

Answer:

9 hours, 11 hours, 19 hours.

Which statements are true of functions? Check all that apply.

Answers

Where the rest of the question?

Answer:

All functions have a dependent variable.

All functions have an independent variable.

A horizontal line is an example of a functional relationship.

Match the expressions given in words with their algebraic expressions.
&+59
5(5—9)
5+39
5(9-5)
-56

Answers

Answer:

5+39 this is the answer 5+39

If a textbook costs £7.80, how many can be bought for £101.40?

Answers

Answer:

13 textbook can buy.

Step-by-step explanation:

13 textbook can buy.

Divide total by price per book:

101.40 / 7.80 = 13

13 books can be bought

Devy likes to learn! Could someone please tell me how to answer this question?

If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x))?

On a coordinate plane, a straight line has a positive slope and goes through (negative 2, negative 1), (0, 0), and (4, 2).

On a coordinate plane, a straight line has a positive slope and goes through (negative 3, negative 3), (0, 0), and (3, 3).

On a coordinate plane, a straight line has a negative slope and goes through (negative 4, 2), (0, 0), and (4, negative 2).

On a coordinate plane, a straight line has a negative slope and goes through (negative 3, 3), (0, 0), (3, negative 3).

Answers

Answer:

B

Step-by-step explanation:

Recall that if two functions, f and g, are inverses, then by definition:

[tex]\displaystyle f(g(x)) = g(f(x)) = x[/tex]

Hence, the graph of f(g(x)) should be simply y = x.

Therefore, our answer is B, as both coordinates are equivalent for all three points.

1106.666667 To the nearest whole number

Answers

Answer:

1107.

You are rounding up because the number in the tenths slot is over 5.

Let f(x) = 2x + 2. Solve f−1(x) when x = 4. (1 point)

Answers

Answer:

1

Step-by-step explanation:

First, find the inverse of the original function.

x = 2y + 2

x-2/2

Second, substitute x with 4 and solve.

4-2/2

2/2

1

Best of Luck!

If f(x) = 2x + 2 is invertible, then its inverse is another function f ⁻¹(x) such that

f(f ⁻¹(x)) = 2 f ⁻¹(x) + 2 = x

Solve for f ⁻¹(x) :

2 f ⁻¹(x) + 2 = x

2 f ⁻¹(x) = x - 2

f ⁻¹(x) = (x - 2)/2 = x/2 - 1

Then when x = 4, we have f ⁻¹ (4) = 4/2 - 1 = 2 - 1 = 1.

need actual help.
One number is eight less than a second number. Five times the first is 6 more than 6 times the second. Find the numbers. The value of the first number is _____.

Answers

Answer:

I think the value of first number is30.

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