Solve.If the temperature is held constant, the pressure that a gas exerts against the walls of a container is inversely proportional to the volume of the container. A gas is inside a cylinder with a piston at one end that can vary the volume of the cylinder. When the volume of the cylinder is
, the pressure inside is
At what volume will the pressure inside be 36 kg/cm2?
A. 140 cm3
B. 391 cm3
C. 154 cm3
D. 411 cm3
Answer: A
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Write in radical form. Assume all variables represent positive real numbers.(6x)1/5
A.
B.
C.
D. -
Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.16x2 - 9y2 = 144
A. center at (0, 0)
transverse axis is x-axis
vertices: (-3, 0), (3, 0)
foci: (-5, 0), (5, 0)
asymptotes of y = - x and y =
x
B. center at (0, 0)
transverse axis is x-axis
vertices: (-4, 0), (4, 0)
foci: (-5, 0), (5, 0)
asymptotes of y = - x and y =
x
C. center at (0, 0)
transverse axis is x-axis
vertices: (-3, 0), (3, 0)
foci: (-, 0), (
, 0)
asymptotes of y = - x and y =
x
D. center at (0, 0)
transverse axis is x-axis
vertices: (0, -3), (0, 3)
foci: (0, -5), (0, 5)
asymptotes of y = - x and y =
x
Find the difference.b + a, for a = -8 and b = 0
A. -8 B. 0 C. 8 D. -80
Solve the problem.At a liberal arts college, students are classified as humanities or science majors. There is a probability of 0.2 that a humanities major will change to science and of 0.5 that a science major will change to humanities. What are the long-term predictions for each major? Round numbers to the nearest thousandth.
A.
B.
C.
D.