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How many prime numbers are there less than 10,000,000? Provide a mathematical approach that allows you to estimate an upper bound on this count. Code and execute a program (any programming language) to provide an exact result. Include program and output as attachments to your executive summary. Also include a flowchart diagramming the program logic, or, pseudocode.
In scholarship interviews, a famous question asked is: How many trees are there in the world? Simply reporting an answer will not be credited: you must give a detailed solution supporting your answer.
Kate and John buy a block of land for $140,000 by paying $10,000 deposit and then taking out a loan for the remainder. The loan will be repaid with quarterly instalments over 15 years with interest at j4 = 7.7%.
An equilateral triangle with sides 10 m is submerged vertically in water so that the base is even with the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it.
One end of a rope is attached to the top of a pole 100 ft high. If the rope is 150 ft long, what is the maximum distance along the ground from the base of the pole to where the other end can be attached? You may assume that the pole is perpendicul..
Compute and interpret the meaning of the instaneous rate of change at t=11
Here is an example of what: In space Reals with the "usual topology.", call it X, the covering A={(-n, inf) | n natural number} of X contains no finite subcollection that covers X.
A rocket consists of a right circular cylinder of height 25m surmounted by a cone whose height and diameter are equal and whose radius is the same as that of the cylindrical section.
a man purchased some shares of stock for 1560. later, when the price had gone up 24 per share, he sold all but ten of them for 1520. how many shares had he bought?
Determine the probability that a child chosen at random from the school is bussed to school.
the runners are running on circular tracks of which has a circumference of 1320 feet. the tracks are 100 feet apart and and the runners start opposite each other and move at the same constant rate of 880 ft/min. how fast are the runners separating..
Probability of Lamp Failure, A lamp has two bulbs, each of a type with an average lifetime of 6 hours. The probability density function for the lifetime of a bulb
A pool measuring 8 meters by 22 meter is surrounded by a path of uniform width. If the area of the pool and the path combined is 392 square meters, what is thw width of the path.
Consider the following linear mapping from C[-pi,pi] into itself: L(f)=integral from -pi to pi of G(x),h(y),f(y)dy for any function f(x) in C[-pi,pi].
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