Estimate the sum or difference by first rounding each number to the nearest ten.532.432 - 338.01

A. 170
B. 180
C. 200
D. 190


Answer: D

Mathematics

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Solve the problem.Find the equation for the tangent plane to the surface   at the point 

A. z = 2 B. z = -1 C. z = 0 D. z = 1

Mathematics

Solve the problem.A small manufacturing plant produces two kinds of bicycles, three-speed and ten-speed, in two factories. Factory A produces 16 three-speeds and 20 ten-speeds in one day, whereas factory B produces 12 three-speeds and 20 ten-speeds in one day. An order is received for 96 three-speeds and 140 ten-speeds. It costs $1000 a day to operate factory A and $800 a day to operate factory B. How many days should the manufacturer operate each factory in order to fill the order at minimum cost?For the linear programming problem above:(a) Define the variables.(b) Write the system of linear inequalities that must be satisfied.(c) Write the cost function. (d) Determine the feasible set. Label each boundary with its equation.(e) Solve the problem. 

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Mathematics

Consider the following statement: For all real numbers r, if r^3 is irrational then r is irrational.

(a) Prove the statement either by contradiction or by contraposition. Clearly indicate which method you are using. (b) If you used proof by contradiction in part (a), write what you would “suppose” and what you would “show” to prove the statement by contraposition. If you used proof by contraposition in part (a), write what you would “suppose” and what you would “show” to prove the statement by contradiction.

Mathematics

Use geometry to evaluate the definite integral.

A. 52 B. 31 C. 76 D. 44

Mathematics