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Factorize the given expression.
Find the perfect square of :
1) a2 + 4a + 4
2) 9x2y2 - 6xy + 1
Factorize and solve the given quadratic equation.
Solve the equation by Factoring:
1) 4x2 + 2x = 0
2) x2 - x - 20 = 0
five school children are weighed in pairs. the readings (in kilograms) are: 58,60,61,64,65,67,68,70 and 71. find the weight of the individual children.
an airplane is flying at an altitude of 7 mi and passes directly over a radar antenna. when the plane is 10 mi from the antenna (s=10) the radar detects that the distance s is chnanging at the rate of 300 mph. what is the speed of the airplane at ..
Explain what you think is meant by the statement in the podcast that in Judaism, "What you believe follows only after what you do and explain why you think the Jewish customs described in the podcast are being "rediscovered"?
Find the area of an equilateral triangle (regular 3-gon) with the given measurement.
Her research indicates that she could earn 45% in one year if the cure is successful or lose 63% in one year if it is not. At what probability of success (P) would the pharmaceuticals stock be the better choice?
Find the optimal solution. What is the value of the objective function at the optimal solution? Note: The answer will be an integer. Please give your answer as an integer without any decimal point. For example, 25.0 (twenty five) would be written ..
A building is 616 feet tall. For a class project, Kari is to make a scale model of the building to place in the front hall display case. The display case is 27 inches tall. Which scale will allow her to make the tallest model that will fit in the ..
Identify the shape of each face. Tell the number of congruent faces. Refers to standards 2.G.1 and 2.G.2 Use the sets below to answer the question. What rule did Ray use to sort the shapes above into two groups?
A hot water tank is a vertical cylinder surmounted by a hemispherical top of the same diameter . The tank is designed to hold 750m^3 of liquid.
Last season a major league baseball player got 120 hits in 240 times at bat. If the player expects to bat 500 times in the entire season with the same ratio of hits to at bats, how many hits can the player expect to have?
A consulting engineer's time is billed at $60 per hour, and her assistant's is billed at $10 per hour. A customer received a bill for $765 for a certain job. If the assistant worked 4 hours less than the engineer, how much time did each bill on th..
Towns A, B, and C form a triangle in which angle A is congruent to angle C. A pilot flies from town A to town B at a heading of 330, then to town C at a heading of 260. At what heading should the pilot fly to return to town A?
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