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Make two arithmetic expressions where you use PEMDAS rule to simplify the expression. All the work should be shown. Make sure the expressions include all the order of operations in them: Parenthesis, Exponents, Multiplication and Division, addition and subtraction. Why are the order of operations required when simplifying expressions?
Explain the importance of Euclid's parallel postulate in the development of hyperbolic and spherical geometry.
The width of a rectangle is 7 less than twice its length. If the area of the rectangle is 174 cm^2, what is the length of the diagonal?
A window frame that seems rectangular has height 408 cm, length 306 cm, and one diagonal with length 525 cm. Is the window frame really rectangular? Explain please.
Evaluate which equations are under-identified, just-identified, and over-identified.
A student inherits 17500 dollars and puts the money in two different accounts. One account earns 5% annually and one account earns 8% annually. She earned a total of 1075 dollars after one year. How much money is in each account?
Find (and describe) all the regular tessellations of the plane. Note that septagons, nonagons, and 11-gons are not provided. How do you know each one you find really fills in all the gaps around a vertex point? How do you know when you're done?
Using minimax regret criterion, what decision should be made by the decision maker?
a parabolic satellite dish is formed by rotating the curve y=ax^2 about the y-axis. if the dish has a 10 foot diameter and a maximum depth of 2 feet, find a and then find the surface area of the dish.
an empty water tank is being filled by a pump. after 2 mins the tank contains 125 gallons. if the volume of water in the tank varies directly as the time the water is pumped, find k and rewrite an equation to show the relationship.
In one town 76% adults have health insurance. What is the probability that 8 adults selected at random from the town all have health insurance?
the rectangular swimming pool in the figure shown measures 40 by 60 feet and is surrounded by a path of uniform width around the four edges. The perimeter of the rectangle formed by the pool and surrounding path is 248 feet. determine the width of..
Explain the difference between mutually exclusive and independent events. Can a pair of events be both mutually exclusive and independent? Give examples.
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