Solve.The roof of a building is in the shape of the hyperbola
where x and y are in meters. Refer to the figure and determine the height, h, of the outside walls.A = 4 m
A. 160 m
B. 12.6 m
C. 22 m
D. 4.7 m
Answer: B
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Graph the function by hand. Then use a graphing calculator to verify your graph. Find the domain and range of the function.f(x) = 8x
A. domain: all real numbers;
range: y > 0
B. domain: all real numbers;
range: y < 0
C. domain: all real numbers;
range: y < 0
D. domain: all real numbers;
range: y > 0
Solve.The current in amps I drawn by an appliance in the home can be approximated using the formula I = ,where P is the power measured in watts and R is the resistance measured in ohms. What is the current I if
watts and
(Round to three decimal places, if necessary.)
A. 7.071 amps B. 11.314 amps C. 5.657 amps D. 6.891 amps
Maximize subject to the given constraints. Find the maximum value of P and the point at which that value occurs.
?
?
Separate the maximum value and the point with a comma. Enter the point using coordinate notation: (x, y).
What will be an ideal response?
Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log7
A. log7m +
log7n -
log7k
B. log7m +
log7n - 2log7k
C. 5log7m + 6log7n - 2log7k
D. log7m ?
log7n ÷ 2log7k