The half-life of a substance is how long it takes for half of the substance to decay or become harmless (for certain radioactive materials). the half-life of a substance is 123 days and there is an amount equal to 150 grams now. what is the expression for the amount a(t) that remains after t days, and what is the amount of the substance remaining (rounded to the nearest tenth) after 365 days? hint: the exponential equation for half-life is a(t) = a0(0.5)t/h, where a(t) is the final amount remaining, a0 is the initial amount, t is time, and h is the half-life.

Using the given statements, state whether the conditional statement is true or false. p: 2 + 2 = 4 q: 7 + 1 = 7 is p q true or false?

Find the area and perimeter of each composite figure. use 3.14 for π. round your answer to the nearest tenth. a square and a right triangle share a common side. image long description a 3-meter by 0.5-meter rectangle has triangles attached like wings to the 3-meter sides. the other two sides of both triangles measure 2.5 meters. the height of each triangle is 2 meters. a 6-inch by 4-inch rectangle has 2 half-circles attached like wings to the 6-inch sides. the radius of each half-circle is 3 inches. find the surface area and volume of each figure. use 3.14 for π. round your answer to the nearest tenth. a right circular cylinder has a base radius of 6 yards and a height of 20 yards. a rectangular prism has a base that is 9 centimeters long and 7 centimeters wide. the height is 2 centimeters. a rectangular prism has a base that measures 11 millimeters by 11 millimeters. the height is 11 millimeters.

Including 6% sales tax, an inn charges $135.68 per night. find the inns nightly cost