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the length of a rectangle is 4 less than twice the width. The are of the rectangle is 70. Find the dimensions of the rectangle.
A single-loop negative feedback system has a loop transfer function. Determine the range of the gain K for which the system is stable.
A tank in the shape of an inverted right circular cone has height 6 meters and radius 4 meters. It is filled with 5 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank.
For what values h (hours) does Quick Move offer the better deal? Express your answer as an inequality. Explain how you reached your answer.
Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance level alpha.
The supplier is somewhat unreliable, and Davidson-Harley management likes to use a safety factory of 0.3 or 30%. Given this information, determine the number of kanbans required. Show details of your analysis.
Explain the difference in the standard error for the two samples.
A line passes through the point (x,y)=(-9,6) and has a slope of 3. Write the equation of the line.
A textbook store sold a combined total of biology and chemistry textbooks in a week. The number of biology textbooks sold was more than the number of chemistry textbooks sold. How many textbooks of each type were sold?
Matrice operations
A furniture manufacturer produces sofas, tables, and chairs. The profits per item are, respectively, $70, $120, and $80. The pieces of furniture require the following labor-hours for their manufacture.
The gas law for a fixed mass m of an ideal gas at absolute temperature T, pressure P, and volume V is PV=mRT, where R is the gas constant. Show that
For the right triangle, find the side length x. Round answer to nearest tenth.
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