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A wooden artifact from an ancient tomb contains 80% of the carbon-14 that is present in living trees. How long ago was the artifact made? (The half-life of carbon-14 is 5730 years. Round your answer to the nearest whole number.)
Two observation points A and B are 1500 feet apart. From those points the angles of elevation of a hot-air balloon are 43° and 47°. Find the height of the balloon to the nearest foot.
To determine whether the system described is a group. G = set of all integers, a.b = a - b
The perimeter of a rectangle is 170 meters. Express the area A as a function of the length L, and state the domain of this function.
Find the volume of the solid in the first octant bounded by the parabolic cylinder z = 4 - x^2 and the plane y = 2.
Write each of the following expressions in correctly parenthesized text using one line (also called calculator notation or inline notation)
Which variable in the simple interest equation I = prt represents the original amount of money borrowed or invested?
A student claims that anything that can be accomplished by a translation can be accomplished by a reflection. She claims that if A' is the image of A under a translation, then A' can be obtained by a reflection in the line(which is the perpendicul..
Mary works due north of home. her husband Ray works due east. They leave for work at the same time. By the time Mary is 3 miles from home, the distance between them is one mile more than Rays's distance from home. How far from home is Ray?
elena's daughter sold 102 boxes of girl scout cookies she was told that this amount represnted 5%of the troop sale how many boxes did the troop sale?
The area of a trapezoid is 780 cm. The shorter base is 48 cm and the height is 15 cm. Find the length of the other base.
Let p be a prime. Show that in the ring Z-p (set of integers modulo p) we have (a+b)^p = a^p+b^p for all a, b in Z-p. The following hint was given:
Show that the equation AX = B represents a linear system of two equations in two unknowns Solve the system and substitute into the matrix equation to check your results
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