Solve the problem. Round your answer to the nearest tenth, when appropriate. Use the formula
, as needed.Find [H3O+] if the pH = 11.
A. 1.0 × 1011
B. 1.0 × 10-11
C. 3.0 × 10-11
D. 2.0 × 1011
Answer: B
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Find the area of the triangle using Heron's formula. Round your answer to two decimal places as needed.
A. 5.81 m2 B. 11.62 m2 C. 16.43 m2 D. 8.22 m2
Answer the problem.Use the following function and a graphing calculator to answer the questions.f(x) = + 0.9 sin x, [0, 2?]a). Plot the function over the interval to see its general behavior there. Sketch the graph below.
b). Find the interior points where f' = 0 (you may need to use the numerical equation solver to approximate a solution). You may wish to plot f' as well. List the points as ordered pairs (x, y).c). Find the interior points where f' does not exist. List the points as ordered pairs (x, y).d). Evaluate the function at the
endpoints and list these points as ordered pairs (x, y).e). Find the function's absolute extreme values on the interval and identify where they occur. What will be an ideal response?
Solve the problem.A lumber company sold shelves. A customer could choose 3 types of wood, 5 different widths, and 6 different lengths. How many different types of shelves could be ordered?
A. 48 types B. 14 types C. 90 types D. 45 types
Write the augmented matrix associated with the system.
A.
B.
C.
D.