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Describe two real-life examples where linear equations are used either at home or on the job. For ideas, look in the textbook or online. Look around at home and at work to see what strikes you as being similar in your own life. What examples do you see? Describe two of them in detail.
Find a polynomial D(t) that represents the difference in the heights of the two balls. b) How much higher is the red ball 2 seconds after the balls are tossed?
The problem that I'm having is that there is a nonconstant factor of (x^2+y^2+z^2)^(-1/2) appearing on the RHS of this equation, making it non-trivial to solve.
how many of each should she order to maximize her profit if she can spend 1200 on buying costs 800 on selling cost and 500 on delivery costs?
At that instant L and W are increasing at a rate of 10 m/s while H is decreasing at a rate of 1 m/s. Find the rate at which the surface area S is changing at that instant.
To two decimal places, what is the value of the positive root in the auxiliary equation?
A 40 year old woman with a resting hear rate of 170 beats per minute should keep her heart rate between 136 and 158 beats per minute while exercising. She checks her pulse for 10 seconds while exercising. What should the number of beats be?
How are the distance formula, the Pythagorean theorem, and equations of circles all related? How does one help you understand the others?
Find a linear model for the cost, of waste collection as a function of the number of kilograms.
From city A to city B, a plane flies 650 miles at a bearing of 48 degrees. From city B to city C, the plane flies 810 miles at a bearing of 115 degrees. Find the distance from city A to city C and the bearing from city A to city C?
Three congruent circles with radius 5 are tangent to each other. The circles are enclosed in an equilateral triangle. What it the perimeter of the triangle?
The actual weight of soap powder in a box has a normal distribution with a mean of 33 oz. and a standard deviation of 0.8 oz. What proportion of packets are underweight (i.e., weigh less than 32 oz.)?
A ball is dropped from a cliff that is 352 feet high. The distance S (in feet) that it falls in t seconds is given by the formula How many seconds (to tenths) will it take for the ball to hit the ground?
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