The multiples of a natural number are the natural numbers that result from multiplying that number by other natural numbers. In this case, the exercise says that the quotient is a multiple of 6 and the dividend is a multiple of 9, therefore it has:
6x
9y
The factors of a number are the terms in which it can be decomposed
multiplicatively the number, in this case, the divisor is a factor of 12, therefore it has:
The potential energy, E, of the penny is given by E=mgh. The energy, Q, required to raise the temperature of an object by an amount ΔT is given by Q=mcΔT. We can equate these two to get the result but we must use proper units and include the 60%: (0.6)mgh=mcΔT We see we can divide out the mass from each side 0.6gh=cΔT, then 0.6gh/c=ΔT (0.6)9.81(m/s²)50m/385(J/kg°C) = 0.7644°C since this is the change in temperature and it started at 25°C we get T=25.7644°C As you can see the result does not depend on mass. The more massive the copper object the more potential energy it will have to contribute to the heat energy, but the more stuff there will be to heat up, and the effect is that the mass cancels.
Outline are values which are entirely different from those remaining values in a data set. These extreme values can skew an approximately normal distribution by skewing the distribution in the direction of the outliers and this makes it difficult for the data set to be analyzed.
Its effect is such that the mean becomes extremely sensitive to extreme outliers making it possible that the mean is this not a representative of the population and this theoretically affects the standard deviation.
The volume of a cylinder can be found using the formula:
π r² h,
where r is the radius of the circular base and h is the height of the cylinder.
If we plug in the measurements of the cylinder, we get:
π (6²) (28)
When this is simplified, we get that the volume of the cylinder is:
1008π cubic cm
Thus, if each marble has a volume of 36π cubic cm, then to find how many marbles will fit into the vase we must divide the vases total volume by the volume of each marble.