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(ii) In 90 days, the gas used by a family cost $198.16 . Calculate the number of units of gas used.

total in CENTS = (n days x p per day) + (n units x p per unit)19816 = (90 X 24.5) + (y x 5.5)y = 3202 units
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Electricity: 23.15 cents p/day plus 13.5 cents p/unit used Gas price: 24.5 cents p/day plus 5.5 cents p/unit used (a)(i) In 90 days, a family used 1885 units of electricity. Calculate the total cost, in dollars, of the electricity they used.

answer: $275.31(n of days x price p/day) + (n units used x price p/unit)(90 x 23.15) + (1885 x 13.5) = 27531 CENTS27531 CENTS = 275,31 DOLLARS
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integrate (4x^3 +3)(x^4 +3x +16)^2 dx

For this integration, we will use integration by substitution:First, we will let substitute u = X 4 + 3X + 16 (this may be known as g(x) function and we will need to find the derivative of our u/g(x) for thi...
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The line l is a tangent to the circle x^2 + y^2 = 40 at the point A. A is the point (2, 6). The line l crosses the x-axis at the point P. Work out the area of triangle OAP.

The area of OAP is 60. The missing information I need is to find the x coordinate of point P. To do this I need to find the equation of the tangent. For this I first found the equation of the radius by findi...
KY
Answered by Kai Y. • Maths tutor
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How do you know when to use sin, cos and tan?

When trying to work out and unknown angle in a right angled triangle, if you know the length of two sides you can use these the figure out the right trig function to use. SOH CAH TOA is an easy way to rememb...
ED
Answered by Emily D. • Maths tutor
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