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Question: AIR PURIFICATION To test air purifiers, engineers ran a purifier in a smoke-filled 10-ft × 20-ft room. While conducting a test for a certain brand of air purifier, it was determined that the amount of smoke in the room was decreasing at the rate of
R(t) = 0.00032t4 - 0.01872t3 + 0.3948t2 - 3.83t + 17.63 (0 ≤ t ≤ 20)
Percent of the (original) amount of the smoke per minute, t min after the start of the test. How much smoke was left in the room 5 min after the start of the test? Ten min after the start of the test ?
Let G be the group {10n : n∈Z} with respect to multiplication. Prove that G is isomorphic to Z. (The operation of Z is addition)
The two-way table shows the annual sales revenue of four automobile manufacturers for different vehicle types. What does the number in the highlighted cell indicate?
Three points are said to be collinear they all lie on the same line. One way to show that three points are collinear is to show that the slope between any two pairs of the points is the same. If P=(1,5), Q=(2,2), and R(-4,-1), are P, Q, and R col..
Find bases for the null spaces of the matrices given in.
A particular brand of dishwasher soap is sold in three sizes: 30 oz, 45 oz, and 65 oz. Twenty percent of all purchasers select a 30-oz box, 50%.
Select one of the following questions to answer, include the data values used and calculations to support your answer. 1. What is the probability of selecting a nonviolent crime to analyze?
Measurements show that the temperature of a distant star is presently 9800 °C and is decreasing by 10 every 800 years.
The ages of workers in the Illuminex plant are approximately normally distributed with a mean of 42 years and a standard deviation of 10 years. A worker is stopped at random and asked to fill out a questionnaire. What is the probability that this ..
Prove Theorem 1.5.1. Theorem 1.5.1. The following assertions are equivalent for a graph T: Show that every tree T has at least ?(T) leaves.Show that a tree without a vertex of degree 2 has more leaves than other vertices. Can you find a very short pr..
How would we best describe the pre-Socratic philosophic tradition as related to metaphysical speculation in the thought of Thales of Miletus, Leucippus, and Democitus, and what progression of metaphysical thought is evidenced in their respective c..
Find a parametric equation of the curve of intersection of the paraboloid and find an equation of the orthogonal projection of this curve to the xy-plane.
There were 97 birds on the endangered species list in some year. This is 13 more than twice the number of reptiles on the list. How many reptiles were on the endangered species list in this year?
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