Solve.An arch in the shape of the upper half of an ellipse is used to support a bridge spanning a creek 40 feet wide. The center of the arch is 10 feet above the center of the creek. What is the height of the arch at a distance 12 feet from the center of the creek?

A. 3 feet
B. 8 feet
C. 0.8 foot
D. 10 feet


Answer: B

Mathematics

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Solve the initial value problem for x as a function of t.(t2 - 5t + 6)  = 1 (t > 3), x(4) = 0

A. x = -ln +  + ln 2
B. x = ln - ln  + ln 2
C. x = -ln + ln  + ln 2
D. x = -ln + ln  + 2

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Simplify.-

A. Not a real number B. -4 C. -5 D. -8

Mathematics

Simplify. Assume that each variable is nonnegative.2  - 4 

A. 8  - 4 
B. 2  - 4 
C. 24 
D. 0

Mathematics

Determine the coefficient and degree of each term, then find the degree of the polynomial. m3n2p4 - m6p2 -  mn3p6 

A. ; Degree of polynomial: 27

B. ; Degree of polynomial: 9

C. ; Degree of polynomial: 10

D. ; Degree of polynomial: 8

Mathematics