Use the pH scale to solve the problem. Use the given concentration [H+] of a substance to calculate the pH value of the substance and classify the substance as an acid or a base. Round to two decimal places.[H+] = 2.1 × 10-4

A. pH ? 6.68, acid
B. pH ? 4.32, base
C. pH ? 0.84, acid
D. pH ? 3.68, acid


Answer: D

Mathematics

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Apply Green's Theorem to evaluate the integral.(y2 + 2) dx + (x2 + 3) dyC: The triangle bounded by x = 0, x + y = 6, y = 0

A. -648 B. 864 C. 0 D. 144

Mathematics

Find the circle's circumference or area, as requested. Use 3.14 as the approximate value of ?, and round your answer to the nearest tenth.Find the circumference.

A. 28.3 yd B. 7.1 yd C. 63.6 yd D. 14.1 yd

Mathematics

Use set-builder notation to write the set.{-2, -1,  0,  1,  2}

A. { x is an integer greater than  -2 and less than 2}
B. { x is an integer greater than -3 and less than 3}
C. { x is a number between -2 and 2}
D. { x is an natural number greater than -3 and less than 3}

Mathematics

Solve the following problem using the simplex method.A city has $600,000 to purchase cars. Two models, the B250 and X100, are under consideration, costing $8000 and $10,000, respectively. The estimated annual maintenance cost on the B250 is $600 and on the X100, $500. The city will allocate $40,000 for the total maintenance of these cars. The B250 gives 26 miles per gallon and the X100 gives 24 miles per gallon. The city wants to maximize "the gasoline efficiency number" of this group of cars.  For x B250's and y X100's, this number would be . How many of each model should be purchased?

What will be an ideal response?

Mathematics