Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log7
A. log7m +
log7n -
log7k
B. log7m +
log7n - 2log7k
C. 5log7m + 6log7n - 2log7k
D. log7m ?
log7n ÷ 2log7k
Answer: B
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Integrate the function.
A. + C
B. + C
C. - + C
D. - + C
Use the distributive property to rewrite a sum as a product or the product as a sum.-(-5y + 8k)
A. 5y + 8k B. 5y - 8k C. -5y + 8k D. -5y - 8k
Neilsen Cookie Company sells its assorted butter cookies in containers that have a net content of 1 lb. The estimated demand for the cookies is 1,000,000 1-lb containers. The setup cost for each production run is $500, and the manufacturing cost is $.50 for each container of cookies. The cost of storing each container of cookies over the year is $.40.
?
Assuming uniformity of demand throughout the year and instantaneous production, how many containers of cookies should Neilsen produce per production run in order to minimize the production cost?
?
Hint: Show that the total production cost is given by the function .
?
Then minimize the function C on the interval (0, 1,000,000).
?
A. 50,000
B. 45,000
C. 40,000
D. 65,000
Ions are atoms or groups of atoms with positive or negative electrical charges. The charges of some ions are given. Use these values to find the total charge. 6 calcium, 13 sodium, and 3 borate
A. +34 B. -8 C. -10 D. +16