Rewrite the logarithm log, 21 in terms of the natural logarithm.

a.

b. 1n 21

c.

d. 1n 5 1n 21

e.


a.

Mathematics

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Find the limit, if it exists.

A. 5 B. Does not exist C. 0 D. 15

Mathematics

A tamoxifen study claims that a combination of chemotherapy and the hormone therapy tamoxifen is more effective than tamoxifen alone in preventing breast cancer. In the study, a group of researchers from the U.S. and Canada studied 1477 postmenopausal women with early-stage breast cancer. The women were randomly assigned to one of three study groups. Group A (361 patients) received tamoxifen alone on a daily basis for five years. Group B (566 patients) received chemotherapy and tamoxifen for six months, and then completed five years of tamoxifen treatment. Group C (550 patients) received chemotherapy alone for six months followed by five years of tamoxifen treatment. All 1477 patients knew which treatment they were receiving.Which of the following is the most likely confounding

variable in this study? A. Only 1477 women were involved in the study. B. The three groups in the study were of different sizes. C. The doctors running the study were only from the U.S. and Canada. D. Only postmenopausal women were in the study. E. Only women were in the study.

Mathematics

Suppose you have the following project digraph. (The numbers in parentheses represent hours.) Consider the following timeline using two processors.

A. This timeline is an illegal schedule. B. This timeline is an optimal schedule. C. This is the timeline one gets using the critical-path algorithm. D. This is the timeline one gets using the decreasing-time algorithm. E. none of these

Mathematics

Solve the problem.Suppose a life insurance policy costs $28 for the first unit of coverage and then $7 for each additional unit of coverage. Let C(x) be the cost for insurance of x units of coverage. What will 10 units of coverage cost?

A. $70 B. $98 C. $42 D. $91

Mathematics