Write an equation for the parabola with vertex at the origin.Through (2, 2), symmetric with respect to the y-axis

A. y = 2x2
B. x = -2y2
C. y2 = 2x
D. x2 = 2y


Answer: D

Mathematics

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The graph below shows estimated world population for the period 4000 BC - 2000 AD. Note that the logarithm of the world population and not actual population is plotted on the vertical axis. This means, for example, that when the graph reaches 7 on the vertical scale, world population is 107 and when the graph reaches 9 on the vertical scale, world population is 109. Log World Population  ?  Year Use the graph to answer the question.Describe the general trend in world population during the period 2000 BC to the year 1 AD.

A. World population increases at a constant rate. B. World population is constant. C. World population increases at a faster and faster rate. D. World population increases at a slower and slower rate.

Mathematics

Solve the problem by integration.An object at the end of a spring is immersed in liquid. Its velocity (in cm/sec) is then described by the equation  where t is the time (in sec). Find the displacement s as a function of t if   for t = 0 sec.

A. s = e-3t + e-9t - 
B. s = -e-3t + e-9t + 
C. s = -e-3t - e-9t - 
D. s = -e-3t - e-9t + 

Mathematics

Graph the function using the slope and y-intercept.f(x) = x + 3

A.

B.

C.

D.

Mathematics

Solve the problem. Round to the nearest tenth, if necessary.If an object is propelled upward from a height of 80 feet at an initial velocity of 80 feet per second, then its height after t seconds is given by the equation , where h is in feet. After how many seconds will the object reach a height of 180 feet?

A. 2.5 sec B. 1.3 sec C. 5 sec D. 10 sec

Mathematics