Provide an appropriate response.Why is e used as a base for exponential and logarithmic functions?

What will be an ideal response?


Answers may vary. One possibility: e is a fundamental number in our universe and is thus known as a universal constant. Logarithmic functions (and their inverses, exponential functions) with base e are a good model for situations in biology and the social sciences, especially those that involve growth or decay.

Mathematics

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Find the linear speed of a point traveling a circular path, where s is distance traveled in time t.s = 42 m, t = 6 sec

A. 7 m/sec
B.  m/sec
C. 6 m/sec
D. 8 m/sec

Mathematics

Simplify the expression. ÷  ? 

A. 2
B.
C.
D. 1

Mathematics

Factor completely. If the polynomial cannot be factored, say it is prime.24x2 + 68x + 48

A. (2x + 1)(3x + 12) B. 4(12x + 3)(x + 4) C. 4(2x + 3)(3x + 4) D. 4(2x + 1)(3x + 12)

Mathematics

Translate the sentence to an equation then solve.q divided by 2 yields 10.

A.  = 10, q = 20
B. 2= 10, q = 8
C.  = 10, q = 
D. 2= 10, q = 5

Mathematics