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A glass box measures 7 X 12 X 18 cm and is closed on all six sides. It is partially filled with colored water. When the box is placed on one of its 7 X 12 sides, the water level is 15 cm above the table. If the box is placed on one of its 7 X 18 sides, what is the water level above the table?
Use implicit differentiation to find an equation of the line tangent to the curve x^2 + y^2 at the point (3,-1). Use implicit differentiation to find an equation of the line tangent to xy=12 at the point (4,3)
Explain Probability of birthdays. Are your best friends' birthdays dependent or independent events?
How quickly is the distance between the ships changing at midnight?
Find the x-coordinate of the points of inflection of f(x) = 47 + 13x + 18x^ 2 + 4x^ 3 - x^ 4
find that the sample mean and sample standard deviation
A company uniformly receives 20 phone calls from 9am -7 pm What is the probability that the number of calls between 12 :00 and 1:00 will be:
The amount of credit card debt is $5,270.00 with an average APR of 15.53%. Considering the minimum monthly payment of $120.00 determine the interest.
Starting with a hypothetical population of 14,000 people and an even age distribution [1,000 in each age group from 1-5 to 66-70 years], suppose that the population initially has a total fertility rate of 2.0 and an average life span of 70 years.
Please solve for x, y & z using the process of elimination method (non matrix method)
The distance between the building and the pole is 189 ft, and the pole casts a shadow that is 4.25 ft long. How tall is the building?
Given that f(x)=exp(-x), please show that its moment generating function is given by M(z)=1/(1-z), and show that the kth moment about the origin is k.
From the following augmented matrix, first write the system of equations that represents the augmented matrix and then create a real-world word problem that would represent these equations and their unknowns.
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