The average annual number of cigarettes smoked by an adult in some country continues to decline. For the years 2000−2012, the equation y=−77.8x+2051 approximates this data. Here, x is the number of years after 2000, and y is the average annual number of cigarettes smoked. If this trend continues, find the year in which the average annual number of cigarettes smoked reaches zero. To do this, substitute 0 for y in the equation and solve for x.
In
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, the average annual number of cigarettes smoked will be zero.
(Round down to the nearest year.)
Find the value of the following expression for the given values.
n2−m2; n=−3, and m=-7
A university president's salary for the 2012-2013 academic year was $470,000. Calculate his 2013-2014 salary if he received a 2.7% raise.
The sum of three consecutive integers is 72. Find the integers.
In the last year, a total of 15,456 earthquakes occurred in a country. Of these, 88.7% were minor tremors with magnitudes of 4.9 or less on the Richter scale. How many minor earthquakes occurred in the country in the last year?
(Round to the nearest whole number.)
Use the diagram to find the angle measures of the triangle. Recall that the sum of the angle measures of a triangle is 180°
x=
(x+4)=
9x=
An element with mass 780 grams decays by 16.3% per minute. How much of the element is remaining after 16 minutes, to the nearest 10th of a gram?
A greenhouse employee has 35 ounces of a potting soil and must place equal amounts of the soil into each of 8 small clay pots. What is the weight of the potting soil that should be placed in each clay pot?
Test the series: infinity sigma n=1 (-1)^ n-1 sin nx n sqrt n for absolute and conditional convergence
Give an example of a series sigmaan such that Sigma an is not cnvergent but the sequence (an) converges to 0,