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A jumbo chocolate bar with a rectangular shape measures 12 centimeters (cm) in length, 7 cm in width, and 3 cm in thickness. Due to escalating costs of cocoa, management decides to reduce the volume of the bar by 15%. To accomplish this reduction, management decides that the new bar should have the same 3-cm thickness, but the length and width of each should be reduced an equal number of centimeters. What should be the dimensions of the new candy bar?
Blaise drew a scale drawing of a swimming pool. In real life, the pool is 12 meters wide. It is 15 millimeters wide in the drawing. What is the scale of the drawing?
Find the local maximum and minimum values and saddle point(s) of the function. If you have three dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function.
Find the 95% confidence internal for the standard deviation
Why does raising something to the 1/n power help identify that we are dealing something that can be undone by the nth power? Which exponent rule would tell us this is true?
Compute the integral of xdz (|z|=r) for the positive sense of the circle in two ways first by using parametrization and second by observing that x=(1/2)(z+z conjugate)=(1/2)(z+r^2/z) on the circle.
Provide Description of Card Probability. What is the probability that exactly one suit is represented among these 8 cards? Exactly 2 suits?
A least squares regression line.
What does the graph of the absolute value function given below look like?
Write an equation in slope-intercept form for the line described.
Let R(t) be the field of rational functions. Answer the following (with proofs): If we identify the rational numbers with a subset of R(t), what function corresponds to a given rational number r?
determine the amplitude, period, and phase shift of each function. Then graph 1 period of the function.
Please solve the following system of equations using both of these methods (solve once using substitution and once using elimination):
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