We have :

m4+1m4=m4+2+1m4−2=(m2+1m2)2−2

=(m2+2+1m2−2)2−2=[(m+1m)2−2]2−2

=(42−2)2−2=142−2=194

We have :

\(m^4+\dfrac{1}{m^4}=m^4+2+\dfrac{1}{m^4}-2=\left(m^2+\dfrac{1}{m^2}\right)^2-2\)

\(=\left(m^2+2+\dfrac{1}{m^2}-2\right)^2-2=\left[\left(m+\dfrac{1}{m}\right)^2-2\right]^2-2\)

\(=\left(4^2-2\right)^2-2=14^2-2=194\)

The distance between the houses is: 3000: 100 = 30 (minute)
Homeownership is: 3000: 150 = 20 (minutes)
Average by John in a minute: 3000: (20 + 30) = 60 (minute)

Answers:60 minute

The distance between the houses is: 3000: 100 = 30 (minute)
Homeownership is: 3000: 150 = 20 (minutes)
Average by John in a minute: 3000: (20 + 30) = 60 (minute)

Answers:60 minute

The distance between the houses is: 3000: 100 = 30 (minute)
Homeownership is: 3000: 150 = 20 (minutes)
Average by John in a minute: 3000: (20 + 30) = 60 (minute)

Answers:60 minute

Ill take (A) because if (B) mutiply by 2 then it will be: 4, 000 for first year of work, and a raise of 400 for each year...

A = 5 + 5² + 5³ + .................. + 5²⁰¹²

A = (5 + 5² + 5³ + 5⁴) + (5⁵ + 5⁶ + 5⁷ + 5⁸) + ................... + (5²⁰⁰⁹ + 5²⁰¹⁰ + 5²⁰¹¹ + 5²⁰¹²)

A = (5 + 25 + 125 + 625) + 5⁴.(5 + 25 + 125 + 625) + ....................... + 5²⁰⁰⁸.(5 + 25 + 125 + 625)

A = 780.1 + 5⁴.780 + ......................... + 5²⁰⁰⁸.780

A = 780.(1 + 5⁴ + ......................... + 5²⁰⁰⁸)

A = 12.65.(......................)

=> A \(⋮\) 65

The sum of the cost and the tax is: \(100\%+8\%=108\%\left(=133,38\right)\)

The cost of the software is: \(133,38:108\%.100\%=123,5\left(dollars\right)\)

Dao Trong Luan If you use the formula \(Radius\cdot2\cdot3,14\) into this math problem you will get a near-right answer.

Your answer is \(\dfrac{\dfrac{24\pi}{3,14}}{2}=\dfrac{24}{2}=12\left(cm\right)\), the right answer of your formula is \(\dfrac{\dfrac{24\pi}{3,14}}{2}=\dfrac{600}{157}\pi=12,00608657\)

So I will answer this math problem again.

Using formula \(\text{circumference}=\text{radius}\cdot2\cdot\pi\)

\(\Leftrightarrow24\pi=\text{radius}\cdot2\cdot\pi\)

\(\Rightarrow\text{radius}=\dfrac{24\pi}{2\pi}=12\left(cm\right)\)

So the radius of the circle is 12 cm.

The radius of this circle is:

\(\dfrac{\dfrac{24\pi}{3,14}}{2}=\dfrac{24}{2}=12\left(cm\right)\)

Assume that John told the truth, then other 3 children told lies. 

Since John told the truth and Wendy told lies, Wendy told :"John is lying". However, Charles told :"Wendy is lying". So, Charles told the truth (asburd)

Since the assumption leads to an absurdity, John told lies and John had taken the chocolate.