Provide an appropriate response.Find x and express your answer in terms of common logarithms: 102x-3 = 4

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


(3 + log 4/2)

Mathematics

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Solve the problem.Under ideal conditions, a population of rabbits has an exponential growth rate of 11.6% per day. Consider an initial population of 400 rabbits. Find the exponential growth function.

A. P(t) = 400e0.116t B. P(t) = 100e11.6t C. P(t) = 100e1.16t D. P(t) = 40e0.116t

Mathematics

Find the center and radius of the sphere.3x2 + 3y2 + 3z2 - 2x + 2y = 9

A. C, a = 
B. C, a = 
C. C, a = 
D. C, a = 

Mathematics

Complete the identity. = ?

A. tan ? + tan ?
B. tan 
C. tan 
D. cot 

Mathematics

Provide an appropriate response.Finish the statement with a correct response. To divide two fractions one needs to:

A. Use the reciprocal of the second fraction (divisor), add the numerators and multiply the denominators. B. Use the reciprocal of the second fraction (divisor) and multiply. C. Add the numerators and multiply the denominators. D. Add the numerators and factor the denominators.

Mathematics