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What is meant by the independent and dependent variables? Please give one example of each.

Independent variable: the one that you change. Dependent variable: the one that you measure. For example, a scientist wants to find out whether a diet including oats makes a horse run faster, so she adds oat...
LP
Answered by Lauren P. • Biology tutor
22204 Views

When a force is applied to a spring, the spring extends by 12cm. The spring has a spring constant of 25 N/m. Calculate the force applied to the string in N.

The equation needed in this scenario is: Force Applied (F) = Spring Constant (k) x Extension (x). This will most likely be given to the student on the data sheet for most exam boards. Firstly, you must conve...
MG
Answered by Matthew G. • Physics tutor
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There are 31 days in January. January 21st 2015 was a Wednesday. What day of the week was February 8th 2015?

First we need to know how many days are still remaining before the end of January. In this case it would be 10 since 31-21=10. We know that 8th of February is the 8th day of the month, so in total between Ja...
RD
Answered by Roman D. • Maths tutor
8354 Views

Find the equation of the straight line joining points (-1, -4) and (2, 5)

Draw sketch of line 2. Find gradient using m=(y 2 - y 1 )/(x 2 - x 1 )= 5--4/2--1=9-3=3 3. Choose one of the points and call it (a,b). I'll pick (2,5) because there's no negaitves. 4. Sub into equation y-b=m...
BM
Answered by Ben M. • Maths tutor
9031 Views

Solve x^2 = 4(x – 3)^2

Expanding and simplifying the right hand side: x 2 =4(x-3)(x-3)=4(x 2 -6x+9)=4x 2 -24x+36 Deducting 'x 2 ' from both sides: 0=3x 2 -24x+36 Dividing by 3 and factorising: 0=x 2 -8x+12=(x-6)(x-2) Therefore sol...
MG
Answered by Matthew G. • Maths tutor
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