Find first four terms of the indicated expansion by use of the binomial series.(1 + x)9
A. 1 + 9x - 36x2 + 84x3 - . . .
B. 1 - 9x + 36x2 - 84x3 + . . .
C. 1 + 9x + 36x2 + 84x3 + . . .
D. 1 + 9x + 36x2 + 168x3 + . . .
Answer: C
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In order to determine the effectiveness of a new vaccine that is alleged to cure "math anxiety," a study was conducted. One thousand volunteer college students enrolled in math courses across the U.S. were chosen. The 1000 students were broken up into two groups. Those enrolled in calculus courses were given the real vaccine. The students in developmental (remedial) math courses were given a fake vaccine consisting of sugared water. None of the students knew whether they were being given the real or the fake vaccine, but the researcher conducting the study knew. At the end of the semester the students were given a test that measured their level of math anxiety. The students in the treatment group showed significantly lower levels of math anxiety than those in the control group. On the
basis of this experiment the vaccine was advertised as being highly effective in fighting math anxiety.This study can best be described as a A. double-blind controlled placebo experiment. B. double-blind randomized controlled experiment. C. blind randomized controlled experiment. D. blind controlled placebo experiment. E. none of these
121/9 ? 128/9
A. 121/9
B. 
C. 128/81
D. 12
Tell whether the relation is reflexive, symmetric, or transitive on the set of all people. Also tell whether the relation is an equivalence relation."Is the same weight as"
A. Reflexive and symmetric; not an equivalence relation B. Reflexive, symmetric and transitive; equivalence relation C. Symmetric and transitive; not an equivalence relation D. Reflexive and transitive; not an equivalence relation
Provide an appropriate response.Suppose that A is an m × n matrix and B is a p × q matrix. Under what conditions will the sum A + B exist?
A. The sum will exist if n = p. B. The sum will always exist. C. It is not possible for the sum to exist. D. The sum will exist if m = p and n = q.