difference of squares x? - a? = (x - a)(x + a)difference of cubessum of cubes x + a = (x + a)(x² - ax + a?)x³ - a = (x - a)(x² + ax + a²)Assume that i denotes the imaginary unit, where i? = -1., e denotes the natural constant (= 2.72)Continuous compounding model: f(t) = Per Discontinuous compounding model: (t) = P(1+n)-b±/6²-4ac2aQuadratic formula: If 0 = ax² + bx + c, then =1 TH2 If f(Y) - Y.2 and a(x) = x² + 2x what is the compositionho grog of a 9. The height of a rocket is given by h(t) = -0.25t2 + 30t +100. What is the approximate maximum height that therocket reaches? (Assumet is in seconds, h(t) is in ft. Hint:Find the vertex of the parabola to help determine itsmaximum height.)%3DA) 300 ftB) 1000 ftC) 600 ftD) 100 ftE) 60 ft11 Using factoring or the quadrati

We have, Height of rocket is, h(t)=-0.25t2+30t+100 Here, h(t) in feet and t is in seconds. It is…

Answered: 9. The height of a rocket is given by…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.3: Quadratic Equations

Problem 78E

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Similar questions

Volume of a Rocket A rocket consists of a right circular cylinder of height 20 m surmounted by a cone whose height and diameter are equal radius is the same as that of the section. What should this radius be (rounded to two decimal places) if the total volume is to be 500/3m3?
Radius of a Shock Wave An explosion produces a spherical shock wave whose radius R expands rapidly. The rate of expansion depends on the energy E of the explosion and the elapsed time t since the explosion. For many explosions, the relation is approximated closely by R=4.16E0.2t0.4. Here R is the radius in centimeters, E is the energy in ergs, and t is the elapsed time in seconds. The relation is valid only for very brief periods of time, perhaps a second or so in duration. a. An explosion of 50 pounds of TNT produces an energy of about 1015 ergs. See Figure 2.71. How long is required for the shock wave to reach a point 40 meters 4000 centimeters away? b. A nuclear explosion releases much more energy than conventional explosions. A small nuclear device of yield 1 kiloton releases approximately 91020 ergs. How long would it take for the shock wave from such an explosion to reach a point 40 meters away? c. The shock wave from a certain explosion reaches a point 50 meters away in 1.2 seconds. How much energy was released by the explosion? The values of E in parts a and b may help you set an appropriate window. Note: In 1947, the government released film of the first nuclear explosion in 1945, but the yield of the explosion remained classified. Sir Geoffrey Taylor used the film to determine the rate of expansion of the shock wave and so was able to publish a scientific paper concluding correctly that the yield was in the 20-kiloton range.
Reaction Rates In a chemical reaction, the reaction rate R is a function of the concentraton of the product of the reaction. For a certain second-order reaction between two substances, we have the formula R=0.01x2x+22. Here x is measured in moles per cubic meter and R is measured in moles per cubic meter per second. a. Make a graph of R versus x. Include concentrations up to 100 moles per cubic meter. b. Use functional notation to express the reaction rate when the concentration is 15 moles per cubic meter, and then calculate hat value. c. The reaction is said to be in equilibrium when the reaction rate is 0. At what two concentratoins is the reaction in equilibrium?

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9. The height of a rocket is given by h(t) = -0.25t? + 30t + 100. What is the approximate maximum height that the rocket reaches? (Assumet is in seconds, h(t) is in ft. Hint: Find the vertex of the parabola to help determine its maximum height.) %3D A) 300 ft B) 1000 ft C) 600 ft D) 100 ft E) 60 ft