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Suppose a, b, c, and d are constants such that a is not zero and the system below is consistent for all possible values of f and g. What can you say about the numbers a, b, c, and d? Justify your answer
Traders often buy foreign currency in hope of making money when the currency's value changes. For example, on February 17, 2006, one U.S. dollar could purchase 0.8382 Euros, and one Euro could purchase 140.9687 yen.
At the point (1, -1, 1) on the surface f(x,y) = 4 - x2 -2y2, calculate a vector perpendicular to the surface and a vector tangent to the curve of steepest ascent.
Anne is pulling on a 60-foot rope attached to the top of a 48-foot tree while Walter is cutting the tree at its base. How far from the base of the tree is Anne standing?
for the following use the spearman rank correlation coefficient to test the claim. identify and state the null and
A farmer plans to fence a rectangular pasture adjacent to a river. The pasture must contain 180,000 square meters. What dimensions would require the least amount of fencing if no fencing is needed along the river?
A high school graduating class has 487 students. there are 171 more girls than boys.. How many boys are in the class?
The player who draws a red tile first is the winner. In the first round, Thomas goes first, then Jenna, and then Maria, and none of them draws a red tile. What is the probability that Thomas will win the game on his second turn?
A polygon has an area of 100 square inches and one of its sides is 13 inches long. If a second similar polygon has an area of 36 square inches, what is the length of the corresponding side in the second polygon?
Two particles travel along the space curves r1(t) = (t, t2, t3) and r2(t) = (1 + 2t, 1 + 6t, 1 + 14t). Find the points at which their paths intersect.
If y varies directly with x, and y = 56 when x = 4, find the constant of variation k.
Two regular pentagons have areas of 20 mm² and x² - x mm². What values of x make the pentagons congruent?
Marsha bought a boat at a clearance sale from Big Ed's Boats. She bought it for $12,000, which was 35% off of the original price. How much did it cost before Big Ed marked it down?
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