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Questions in Grade College

[Answered] The function $a(b)$ relates the area of a trapezoid with a given height of 14 and one base length of 5 with the length of its other base. It takes as input the other base value, and returns as output the area of the trapezoid. $a(b)=14 \bullet \frac{b+5}{2}$ Which equation below represents the inverse function $b(a)$, which takes the trapezoid's area as input and returns as output the length of the other base? A. $b(a)=\frac{a}{7}-5$ B. $b(a)=\frac{a}{7}+5$ C. $b(a)=\frac{a}{5}+7$ D. $b(a)=\frac{a}{5}-7$

[Answered] 4. (a) Find the first 10 terms of the sequence, defined as follows; the first two terms are 1 and 3 respectively, each later term is formed by multiplying its predecessor by 3 and subtracting the next previous term. (b) Evaluate the following (i) [tex]$\sum_{r=1}^5 r^3$[/tex] (ii) [tex]$\sum_{r=3}^7 3^r$[/tex]

[Answered] Which of the following fallacies is used in the following example? Eloise dropped a mirror and broke it. An hour later she was in a car accident. That was the first in what was to be seven-year stream of bad luck. A. Post hoc ergo propter hoc B. Overgeneralization C. Non Sequitur D. Argument by analogy E. Ad hominem

[Answered] Thuy rolls a number cube 7 times. Which expression represents the probability of rolling a 4 exactly 2 times? [tex]P(k \text { successes }) = { }_n C_k p^k(1-p)^{n-k}[/tex] [tex]{ }_n C_k =\frac{n!}{(n-k)!\cdot k!}[/tex] A. [tex]{ }_7 C_5\left(\frac{1}{6}\right)^2\left(\frac{1}{6}\right)^5[/tex] B. [tex]{ }_7 C_5\left(\frac{1}{6}\right)^5\left(\frac{5}{6}\right)^2[/tex] C. [tex]{ }_7 C_2\left(\frac{1}{6}\right)^2\left(\frac{5}{6}\right)^5[/tex] D. [tex]{ }_7 C_2\left(\frac{2}{6}\right)^2\left(\frac{4}{6}\right)^5[/tex]

[Answered] Which function has a vertex at $(2,-9)$? $f(x)=-(x-1)(x-5)$ $f(x)=(x+8)^2$ $f(x)=-(x-3)^2$ $f(x)=(x-5)(x+1)$

[Answered] In which triangle is the value of $x$ equal to $\tan ^{-1}\left[\frac{3.1}{5.2}\right]$? (Images may not be drawn to scale.)

[Answered] What value of $c$ makes the statement true? $-2 x^3\left(c x^3+x^2\right)=10 x^6-2 x^5$ $c =$

[Answered] Makam music is heterophonic, which means that every instrument plays: A. different melodies in the same key B. variations of the same melody C. different melodies in different keys D. variations of different melodies E. All of the above F. None of the above

[Answered] Which best describes the graph of the function $f(x)=4(1.5)^x$? The graph passes through the point $(0,4)$, and for each increase of 1 in the $x$-values, the $y$-values increase by 1.5. The graph passes through the point $(0,4)$, and for each increase of 1 in the $x$-values, the $y$-values increase by a factor of 1.5. The graph passes through the point $(0,1.5)$, and for each increase of 1 in the $x$-values, the $y$-values increase by 4. The graph passes through the point $(0,1.5)$, and for each increase of 1 in the $x$-values, the $y$-values increase by a factor of 4.

[Answered] Current assets that can be transferred into cash within 3 months is known as?