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Rewrite the expression 16/8log(x+5)+16/4log(x^2+3)-4/8log(x+2) as a single logarithm


Rewrite the expression log5(√(x^3+1)^3(x^2+5)^4/(x^2+4x+2)^5))^3


from digits 3,5,7, and 9 and if no repetition of digit is allowed how many numbers can be formed that are one-digit numbers


how many two-digit numbers can be the digits 0,6,7,8 and 9 of repetition is allowed


weekly wages of 10 workers at random from factory are given below



The average cholesterol content is 180 m deviation of 12 milligrams assume that the variable is normally distributed give a sample of 16 pounds is selected what is the probability that the mean of the sample with the greater than 172 milligrams

Show that the square of an even number is an even number using a direct proof.



Derive an equation x(t) for the instantaneous position of the car as a function of time. Identify the

●      value x when t = 0 s

●      asymptote of this function as t → ∞


t(0-28 m/s) (s) t(400m)(s) t (Maxspeed)(s)

2.5 9.75 8.0



Selecting Players How many ways can 4 baseball


players and 3 basketball players be selected from


12 baseball players and 9 basketball players


A researcher reports that the average salary of College Deans is more than Php 63,000. A sample of 35 College Deans has a mean salary of Php 65,700. At a = 0.01, test the claim that the CollegeDeans earn more than Php 63, 000 a month. The standard deviation of the population is Php 5,250.

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