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A decorative balloon containing helium gas at 25.0 degrees Celsius and 100 kPa has a volume of 8.83 L. Calculate the final temperature of the gas, in Kelvins, if the pressure is increased to 124 kPa and the volume decreases to 5.00 L.
Prove that if G has 11 vertices and is simple, then G and G¯ cannot both be planar.
How much will the preferred stockholders and the common stockholders receive each year?
a regular hexagon is inscribed in a circle with a diameter of 6.4 centimeters. what is the apothem of the hexagon?
A projectile is fired straight upward from ground level with an initial velocity of 112 feet per second. At what instant will it be back at ground level?
compute the unit normal vector and the curl of F as well as the value of the integral
For one performance, 30 advance tickets and 15 same-day tickets were sold. The total amount paid for the tickets was 1275 . What was the price of each kind of ticket?
The value of an car after t years is given by the function V(t)=25,000-1500t. What is the value of the automobile 3 years after it is purchased?
What is the chain rule, addition rule, and multiplication rule?
Under certain conditions, the pressure of gas varies inversely with its volume. If a gas with a volume of 150 cubic inches has 29 pounds of pressure, find the amount of pressure 145 cubic inches of gas is under.
Solve the given polynomial equation. Use the Rational Zero Theorem, Descartes's Rule of Signs, and possibly the graph of the polynomial function shown by a graphing utility as an aid in obtaining the first root.
Suppose that 8% of the patients tested in a clinic are infected with HIV. Furthermore, suppose that when a blood test for HIV is given, 98% of the patients.
Prove, using only the definition of congruence modulo n, that if a = b (mod n) and c = d (mod n), then a+c = b+d (mod n).
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