Determine the missing numbers in each of the following Fibonacci-type sequences

(a) 1, 4, 5, 9, ___________ ,, ______________ ,________________
(b) 2, ___________ , 6, _____________ , 16, _______________
(c) 3, _______ , __________ , ____________ ,27
(d) 3, 7, 10, 17, 27


(a) 14, 23, 37
(b) 4, 10, 26,
(c) 7, 10, 17 (since 3+ x +x +3 + x =27; 3x = 21,x = 7)

Mathematics

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The following question refers to a school district with three high schools. The total number of students in the district is 3000. The teachers within the district are apportioned to the high schools based on the schools' respective enrollments. The standard quota for each school is given in the following table. What does the standard divisor represent in this apportionment problem?

A. the number of teachers per 100 students B. the number of students per teacher C. the number of teachers required for 3000 students D. the number of students per 100 teachers E. none of these

Mathematics

Graph the function, then find the extreme values of the function on the interval and indicate where they occur.y =   +  on the interval -? < x < ?

A.

Absolute minimum is: 5 on the interval (-2, 3]
B.

Absolute minimum is: 6 on the interval (-2, 3]
C.

Absolute minimum is: 4 on the interval (-3, 2]
D.

Absolute minimum is: 5 on the interval (-3, 4]

Mathematics

Solve the problem. Round your answer to the nearest tenth, when appropriate.A ball is thrown downward from a window in a tall building. Its position at time t in seconds is given by , where s is in feet. How long will it take the ball to fall ?

A. 2.7 sec B. 3.6 sec C. 1.9 sec D. 1.7 sec

Mathematics

Use the laws of logarithms to simplify the expression. ? 

A.
B.
C.
D.
E.

Mathematics