Use logarithms to solve the equation for t. Round your answer to four decimal places.



t = __________

Fill in the blank(s) with the appropriate word(s).


-4.4794

Mathematics

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Solve the problem.In a race, Car A starts 1 mile behind Car B. Car A is traveling at 65 miles per hour, while Car B is traveling at 40 miles per hour. How long will it take for Car A to overtake Car B?

A. 2 minutes
B. 1 minutes
C.  minutes
D. 9 minutes

Mathematics

Find the inverse of the one-to-one function.f(x) = 

A. f-1(x) =  + 
B. f-1(x) = 
C. f-1(x) = -  -  
D. f-1(x) =  +  

Mathematics

Divide, if possible. Assume any variable in the denominator is nonzero.

A. 16 B. 0 C. Undefined D. 1

Mathematics

Refer to the figure to solve the problem.A linear programing problem has the objective function , which is to be minimized. The following graph shows the feasible set and the straight line of all combinations of x and y for which the cost is $840. Give the linear equation (in standard form) of the line of constant cost c. Then, by inspection, find the vertex of the feasible set that gives the optimal solution. 

A. y = 35 - x - ; C
B. y = 175 - x - ; C
C. y = 175 + x + ; B
D. y = 175 - x - ; B

Mathematics