The following daily temperatures were recorded at three-hour intervals. Find the midrange of the data. Round your answer to one decimal place, if necessary.
49°, 59°, 65°, 69°, 76°, 68°, 68°, 65°, 61°
a. 55°
b. 68.5°
c. 27°
d. 62.5°
e. 12°
d. 62.5°
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Provide an appropriate response.Find the extrema of f(x, y, z) = x + yz on the line defined by x = 5(4 + t), y = t - 5, and z = t + 4. Classify each extremum as a minimum or maximum. (Hint: w = f(x, y, z) is a differentiable function of t.)
A. (10, -7, 2), minimum; (30, -3, 6), maximum B. (30, -3, 6), minimum; (0, -5, 0), minimum C. (30, -3, 6), minimum D. (10, -7, 2), minimum
Answer the following statement(s) true (T) or false (F)
The Reasoning and Proof process standard deals exclusively with providing guidelines for the format of acceptable formal proofs.
Provide an appropriate response.Solve the system of equations using the addition method:m - 2n =75m - 10n = 35
A. m = 0, n = -3
B. inconsistent, no solution
C. dependent, many solutions
D. m = 7, n = 0
Use similar triangles and the fact that corresponding sides are proportional to find the length of the side marked with an x.
A. 39 in. B. 156 in. C. 4.3 in. D. 0.9 in.