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Students in a fifth-grade class were given an exam. During the next 2 years, the same students were retested several times. The average score was given by the model
f(t) = 86 - 20 \log_{10}(t+1), \qquad 0\leq t\leq 24
where t is the time in months.
(a) What is the average score on the original exam?


(b) What was the average score after 6 months?


(c) What was the average score after 18 months?
\ln (r^ { 8 } s^ { 3 } \sqrt[ 8 ]{ r^ { 2 } s^ { 6 } } ) is equal to ??
Using laws of logarithms, write the given expressions using sums and/or differences of logarithmic expressions which do not contain the logarithms of products, quotients, or powers.
In(87x)= ???/
Rewrite the exponential equation \log(A\sqrt{B})+\log(A^2) in equivalent logarithmic form.
The cost of a piece of cloth is rs 35 .if the piece were 4m longer and each meter costs rs 1 less the cost would remains unchanged . How long is the piece.
You work as a cashier for a bookstore and earn $6 per hour. You also baby sit and earn $6 per hour. You want to earn at least $60 per week, but would like to work no more than 12 hours per week.

Which system of inequalities, along with y > 0 and x > 0, would you solve to use the real world problem?

A. y > -x + 12
y < -x +10

B. y < x +12
y > x + 10

C. y < -x +12
y > -x + 10

D. y < -x + 12
y > -x + 10
1. The measure of the largest angle of a triangle is 10 more than 3 times that of the smallest. It is also twice the measure of the second angle. What are the measures of the three angles of the triangle?
When Johnny bikes with a tail wind, it takes him 1 hour to travel 15 km. He makes the return trip against the wind in 1 1/2 hours. What is Johnny's speed on a windless day and what is the speed of the wind?
2/(x+2) +2 = 7/ (x+2)
1. What must be multiplied to the expression 120x^5y to make it a perfect square?
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