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Use the geometric series formula to find the 9th term in this progression : 12 18 27...

Formula for nth term in a geometric progression = ar^n-1

workings:  

a=12

r=1.5  because 18/12 = 1.5

Thus, using ar^n-1  -->   12 * 1.5^8 = 307.54... or 308 (to 3sf)

...

PF
Answered by Philip F. Maths tutor
8247 Views

A tank contains 45 000 cm3 of water. The tank leaks at 0.75 litres/minute. How long does the tank take to empty?

The first thing to notice with this question is that the volume of the tank is given in cm3 yet the rate at which the water leaks is in litres, so a conversion of units will be neccessary. We k...

TG
Answered by Tom G. Maths tutor
10815 Views

How would you show that a vector is normal to a plane in 3D space?

There are 2 main methods for finding a normal vector.

  1. If you know two vectors that lie in the plane e.g. (a,b,c) and (d,e,f), we can find a normal vector by calculating the vector/cross p...

FK
Answered by Fionn K. Maths tutor
25191 Views

Work out 416 + 49 + 274

739

IM
Answered by Isobel M. Maths tutor
3598 Views

Kieran, Jermaine and Chris play football. Kieran has scored 8 more goals than Chris. Jermaine has scored 5 more goals than Kieran. Altogether they have scored 72 goals. How many goals did Jermaine score?

Find an equation that explains the problem. We can see how many goals the players have scored in comparison to each other. The person with the fewest goals is Chris. Let us say he score x goals. Then we c...

DC
Answered by Daniel C. Maths tutor
18222 Views

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