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We have the following fractions: 6/16, 9/24, 12/32 and 15/35. Which fraction is not equivalent to 3/8?

Numerator and denominator of a fraction 6/16 can be divided by 2 to get 3/8.

Numerator and denominator of a fraction 9/24 can be divided by 3 to get 3/8.

Numerator and ...

KP
Answered by Karolina P. Maths tutor
8130 Views

A hollow sphere of radius r is being filled with water. The surface area of a hemisphere is 3pi*r^2. Question: When the water is at height r, and filling at a rate of 4cm^3s^-1, what is dS/dT?

By the chain rule ds/dt = ds/dr * dr/dv * dv/t. At a height of r, the water fills a hemisphere. So ds/dr = 6pir. dr/dv = 1/(dv/dr), so we need to find dv/dr. Students should have the formula for the v...

HB
Answered by Henry B. Maths tutor
5412 Views

Suppose we have a circle whose radius is 5cm. If a sector of this circle has an area of 15 cm^2, what is the size its angle (in degrees)?

Firstly, you would need to figure out what formula you can use to solve this problem. You know the radius and area of the sector, and you need to find the angle. So, the correct equation to use would be t...

RS
Answered by Roxani S. Maths tutor
2846 Views

Solve the equation 5^(2x) - 12(5^x) + 35 = 0

The first step to solving this is equation is to notice that the equation is of a similar to the form of a quadratic equation: ay^2 + by + c  = 0 where a, b and c are constants. Next we introduce a new va...

JG
Answered by Jacob G. Maths tutor
9023 Views

Differentiate with respect to x: y = ln(x^2+4*x+2).

Let u = x2+4x+2 so y = ln(u).

Then dy/du = 1/u and du/dx = 2x+4.

Using the chain rule we have:

dy/dx = (dy/du)*(du/dx)

= (1/u)*(2x+4)

= (2x+4)/(x2+...

OL
Answered by Okim L. Maths tutor
4323 Views

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