Write a polynomial in two variables that describes the total area of the shaded region. Express the polynomial as the sum or difference of terms. 5x + 3y  

A. 5x2 + 8xy + 3y2
B. 5x2 + 15xy + 3y2
C. 5x2 + 3y2
D. 5x2 + 5xy + 3y2


Answer: A

Mathematics

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When a skydiver jumps from an airplane his velocity V, in feet per second, increases toward a maximum of  175 feet per second.  (This is terminal velocity.) The table below shows the difference  between  the terminal velocity and the velocity after t seconds.

 t 0 5 10 15 D 175.00 97.72 54.57 30.47? A: Find an exponential model for the data. Be careful. The data are given in steps of 5 seconds. Round your answer to two decimal places, if necessery.B: Find a formula that gives the velocity V after t seconds. Round your answer to two decimal places, if necessery.C: Make a graph of V versus t over the first 10 seconds. Include the horizontal line representing the terminal velocity.E: According to the model, how long does it take for the skydiver to reach 92.00% of terminal velocity? Round your answer to two decimal places. What will be an ideal response?

Mathematics

Add.11.84 + 10.217

A. 1.623 B. -1.623 C. 22.057 D. 22.157

Mathematics

Match the system of inequalities with one of the graphs.x2 + y2 < 16 y ? 1

A.

B.

C.

D.

Mathematics

Perform the indicated operation and reduce to lowest terms. + 

A.  
B.  
C.  
D.

Mathematics