following table questions
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The following table gives the vertical height above the take-off point of a certain seat on a Ferns wheel at various times throughout the first 3 and a half minutes. Calculate the amplitude, A: Calculate the median, D: Calculate B: Locale C (the first t=time where Height=D and is increasing): In the context of this problem: The top of the ferris wheel is feet above the take-off point. The center of the ferris wheel is feet above the take-off point. One trip around the ferns wheel takes seconds.
Dimensional analysis is just what it says - a way of examining the dimensions (the units) in a problem, and then using unit conversions to solve the problem. Use the equalities given below to convert 225cm to feet (significant figures are not graded on this problem). Show your work. 1 ft = 12 in 1 in = 2.54 cm
Find (f composite function g)(x) for the given functions f(x) and g(x). f(x) = 2x+ 6 and g(x) = x^2 - 7 A) 2x^2 - 8 B) 4x^2 + 4x - 6 C) x^2 + 2x - 1 D) x^2 - 2x - 13 Solve the system of equations. x-y + 2z=-3 3x + z = 0 x+3y+z = 9 A) y = 3 B) y = 0 C) y = -2 D) y=2 Simplify the expression so that no negative exponents appear in the final result. Assume all variables represent nonzero numbers. (2x^3 y^-3/x^-5 y^4)^-2 A) y^147/2x^8 B) y^14/2x^16 C) 2x^16/y^14 D) y^14/4x^16
Match the function with its graph. f(x) = -x^2 - 6x - 8 The number of mosquitoes M(x) in millions, in a certain area depends on the June rainfall x in inches, according to formula M(x) = 2x - x^2. What rainfall produces the maximum number of mosquitoes? A) 1 in B) 2 in C) 4 in D) 0 in Find the inverse of the one-to-one function. f(x) = 7x + 2 A) f^-1 (x) = x+2/7 B) f^-1 (x) = -x+7/2 C) f^-1 (x) = - x+2/7 D) f^-1 (x) = x-2/7
Graph the exponential function. f(x) = 2^x + 1 Find out how long it takes a exist2900 investment to double if it is invested at 8% compounded semiannually. Round to the nearest tenth of a year Use the formula A = P(1 + r/n)^nt A) 86 years B) 9 years. C)92 years D) 88 years Give an exact answer. log_4 x + log_4 (x - 15) = 2 A) (4) B) (-163) C) (16) D) (-4) Solve the exponential equation by taking the logarithm on both sides. Express the solution set in terms of logarithms e^(x+7) = 4 A) in 11 B) e^4 + 7 C) in (4) -7 D) e^28 Find the center and radius of the circle. x^2 + y^2 + 2x + 16y + 61 =0 A) (1 8) r = 2 B) (8 1) r = 4 C) (1 8) r = 4 D) (8 1) r = 2
The current I in an electrical conductor varies inversely as the resistance R of the conductor. The current is 6 when the resistance is 410 What is the current when the resistance is 877 ? A) 2.5 amps B) 12.6 amps C) 0.36 amps D) 0.08 amps Use the rules of exponents to simply the expression write the answer with positive exponents. Assume that all A) y^-1/9 -9y^1/9 B) y^4/27 - 9y^2/27 C) y^3/4 - 9y^3/2 D) y^7/9 - 9y^5/9 Write with radicals. Assume that all variables represent positive real numbers. (x^2 y^2)^1/9 A) x^18 y^18 B) (2 Squareroot xy)^9 C) 1/(9 Squareroot xy)^2 D) (9 Squareroot xy)^2
A person invested his retirement savings with two separate companies. A and B. In 2012, the investments with company A earned a 15% return and the investments with company B earned a 20% return. At the beginning of 2012, the amount of money the person had invested with company B was $5,000 less than 2 times the amount he had invested in company A. If x represents the amount of money the person had invested at company A at the beginning of 2012, which expression represents the total return on his retirement savings in 2012? A. 0.55x - 1,000 B. 0.5x - 750 C. 0.55x - 2,000 D. 0.5x - 1, 500
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