Search our library of Maths questions

Top answers

Maths

All levels

A person leaves their flat at 8:00am and travels to work at an average speed of 32 mph. They arrive at work at 9:15am. Calculate the distance they travel to work.

SUVAT equations give s = vt ; v = 32mph ; t = 1h 15mins = 1.25h ; s = 32 * 1.25 = 40 miles

Answered by Oliver T. • Maths tutor

2380 Views

Prove 2^(n+2) + 3^(2n+1) is a multiple of 7 for all positive integers of n by mathematical induction.

Let P(n) be the proposition that 2ⁿ⁺² + 3²ⁿ⁺¹ is a multiple of 7 for all positive integers of n.
Let n=12³ + 3³ = 8 + 27 = 35 = 7(5)This is divisible by 7....

Answered by Eashan P. • Maths tutor

8883 Views

Write x^2+6x+14 in the form of (x+a)^2+b where a and b are constants to be determined.

Completing the square is a method that can be used to solve the quadratic equation x^2+6x+14 in the form of (x+a)^2+b. The way we find a and b is as follows:For co...

Answered by Chara D. • Maths tutor

7225 Views

Use the substitution u=1+e^x to find the Integral of e^(3x) / (1 + e^x)

e^x=u-1 so e^3x=(u-1)³ and du/dx = e^x so rearranging gives dx=e^-x du Substituting all that information in the integral we get Integral ( (u-1)^...

Answered by Ismet P. • Maths tutor

9584 Views

There are 25 CD's in a box and an individual orders 14 boxes. How many CD's did the person order in total

as there are 25 CD's in one box, then we would multiply by 14 to know the total number of CD's, we use multiplication as it is quicker than adding 25 14 times. I would then show the column multiplication ...

Answered by Aisha B. • Maths tutor

1795 Views