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an architect has allocated a rectangular space of 429 sq ft for a square dining room and a 20 ft wide kitchen. Find both the width of the square dining room and the length of the entire rectangular space
Assume that the average loan on a home is quoted to be $55,000.00. Calculate the monthly repayment necessary to have the loan repaid after 25 years if the interest rate is 7.5%.
Apply Stroke's theorem to evaluate the integral over C of (ydx + zdy + xdz), where C is the curve of intersection of the unit sphere x^2+y^2+z^2=1 and the plane x+y+z=0
What happens if the first shot is intentionally missed? What is the better strategy shooting the deadliest one or the weakest one?
to determine the number of deer in a game preserve, a conservationalist catches 394 deer, tags them and lets them loose. Later, 492 deer are caught, 246 of them are tagged, How many deer are in the preserve?
Suppose there are 90 small towns in a country. From each town there is a direct bus route to at least 50 towns. Is it possible to go from one town to any other town by bus possibly changing from one bus and then taking another bus to another town?
Describe the solutions to the equation by just determining the discriminant and complete the square of the expression for f(x) to determine the vertex of the graph of f(x). Would this be a maximum or minimum on the graph?
Assuming the amount of fill is normally distributed, what is the probability that the next randomly checked bottle contains more than 32.02 ounces.
If your real estate taxes are $4,500 annually and you know that the rate is 3%, what is the value of your house?
Please evaluate the following integral using trigonometric substitution. Please show all steps in the solution.
Rate related problems and Determine the general expression for the car's acceleration at any time t, and show that car is decelerating 2(2/3) seconds after starting from rest.
When we have two fractions on either sides of an equality or inequality symbol, we can multiply the numerator on the right hand side (RHS) with the denominator of the left hand side (LHS) and the numerator of LHS with denominator of RHS.
Please respond to the following question: Find the greatest common divisor of the following polynomials over F, the field of rational numbers:
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