Solve the problem.A sample of 500 g of lead-210 decays to polonium-210 according to the function given by
where t is time in years. What is the amount of the sample, to the nearest gram, after 10 years?
A. 363 g
B. 264 g
C. 20 g
D. 689 g
Answer: A
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Solve.An object that is vertically projected into the air has its height, in feet, above the ground given by s = -16t2 + v0t + s0,where s is the height, in feet, v0 is the initial velocity of the object, in feet per second, t is the time the object is in motion, in seconds, and s0 is the height, in feet, from which the object is projected. A ball is thrown straight up from a rooftop at an initial velocity of 86 feet per second from a height of 100 feet. The ball misses the rooftop on its way down and eventually strikes the ground below. How high above the ground will the ball be 4 seconds after being thrown?
A. 174 ft B. 188 ft C. 700 ft D. 686 ft
The lists below show five agricultural crops in Alabama, Arkansas, and Louisiana.AlabamaArkansasLouisianasoybeans (s)soybeans (s)soybeans (s) peanuts (p)rice (r)sugarcane (n)corn (c)cotton (t)rice (r)hay (h)hay (h)corn (c)wheat (w)wheat (w)cotton (t)Let U be the smallest possible universal set that includes all of the crops listed, and let A, K and L be the sets of five crops in Alabama, Arkansas, and Louisiana, respectively. Find each of the following sets.The set of crops in both A' and K'
A. {n} B. {c, p, r, t} C. {c, n, p, r, t} D. ?
Use the substitution formula to evaluate the integral.
A. -
B. -
C. -
D.
Solve the problem.A salesman packed 3 shirts and 6 ties. With one shirt, he could wear all 6 ties. With another shirt, he could wear 5 ties. With the third shirt, he could wear only 3 ties. How many different combinations did he have?
A. 14 B. 13 C. 90 D. 33