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Write a mathematical phrase or sentence for your classmates to translate. Translate your classmates' phrases or sentences and explain what clues indicate that the problems are either expressions or equations.
What is the principle of powers? Describe in your own words. When solving a radical equation, how do we use the principle of powers to eliminate radicals? Demonstrate with an example.
A piece of molding 168 centimeters long is to be cut to form a rectangular picture frame. What dimensions will enclose the largest area? Round to the nearest hundredth, if necessary.
on friday a local hamburger shop sold a c ombined total of 426 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. how many hamburgers were sold on friday?
evaluate approximately the ratio of the mass of the sun to that of the earth. lunar month 27.3 days, mean radii of the earth's orbit 149000000 km and that of moon's orbit 380000 km.
A chain store manager has been told by the main office that daily profit, P, is related to the number of clerks working that day, x, according to the function P=-25x^2+300x. What number of clerks will maximize the profit, and what is the maximum p..
A full m-ary tree has 81 leaves and height 4. (a) Give upper and lower bounds for m. (b) If the tree is also balanced, what is the value of m?
Calculate the mean of the sample means and compare it to the population mean.
Exponentials depending on the random variable
If 2000 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
find the equation for those products and CPI, & use those equations to predict the average cost of each product for the year 2020.
The problem states: Find dw/dt (a) using the appropriate chain rule and (b) by converting w to a function of t before differentiating.
Let A be a real n x n matrix. Show that a linear subspace E of R^n is A-invariant if and only if E is e^{tA} -invariant for all t in R, where e^{tA} is the exponential matrix associated to A.
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