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A rectangular garden next to a building is to be fenced on three sides. Fencing for the side parallel to the building costs $20 per foot, and material for the other two sides costs $80 per foot. If $1,500 is to be spent on fencing, what are the dimensions of the garden with the largest possible area?
Calculate the reduced row echelon form of the following matrices. Approximate answers should be entered to at least 4 decimal places.
A consumer is trying to decide between two long-distance calling plans. The first charges a flat rate of 10¢ ($0.10) per minute,
For what values of a in R (real numbers) is the function (1+x^2)^a in L^2. Let L^2 be like in Lebesgue integration where the set of all measurable functions that are square-integrable forms a Hilbert space, the so-called L2 space.
A dietician wishes a patient to have a meal that has 66 grams (g) of protein, 94.5 g of of carbohydrates, and 910 miligrams of (mg) of calcium. Dinner for today is chicken, corn, and milk. Each serving of chicken has 30 g of protein, 35 g of carbo..
Describe fractional partsso that a child can understand it. What are the two distinct requirements of fractional parts? Explain how children's concepts of partitioning need to be refined to produce a concept of fractional parts.
A textbook store sold a combined total of biology and chemistry textbooks in a week. The number of biology textbooks sold was more than the number of chemistry textbooks sold. How many textbooks of each type were sold?
A regular hexagon is divided into 6 equilateral triangles. he altitude of each triangle is 6cm. What is the perimeter of the hexagon?
In a certain fraction, the demoninator is 4 less than the numerator. If 2 is added to both the numerator and denominator, the resulting fraction is equal to 7/5. Find the original fraction
While walking along at a constant speed, project a ball vertically into the air. If you continue to walk without changing your speed or direction, where will the ball land? Draw a diagram of the balls flight, indicating the forces acting on it.
Aaron bought 6 books and 2 notebooks for $46.86. Erin bought 2 books and 6 notebooks for$27.78. How much does one book cost?
A thin wire has the shape of the first-quadrant part of the circle with center the origin and radius c. If the density function is ρ(x, y) = kxy, find the mass and center of mass of the wire.
Find the length of the sides parallel to the store and perpendicular that will maximize the total area of the outdoor enclosure.
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