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Questions in Grade College

[Terjawab] I live on Yonge Street where there are 6 houses on my side of the block. The house numbers are consecutive even numbers. The sum of all 6 house numbers is 8790. You don't know which block I live on, and it's a long street, but I will tell you that I live in the lowest number on my side of the block. What's my address?

[Terjawab] Predict how much money can be saved without having a negative actual net income. | Monthly Budget | Budgeted Amount | Actual Amount | | :------------- | :-------------- | :------------ | | Income | $1025 | $675 | | Expenses | | | | Rent | $300 | $300 | | Utilities | $100 | $100 | | Food | $175 | $200 | | Cell Phone | $75 | $75 | | Savings | $300 | $ | | Net Income | $75 | $ | A. It is not possible to save any money this month without having a negative actual net income. B. $350 can be saved resulting in an actual net income of $0. C. $200 can be saved resulting in an actual net income of $75. D. Because there is a $75 budgeted net income, that $75 can be put towards savings.

[Terjawab] Rewrite the product as an exponent: $3^3 \cdot 3^3$

[Terjawab] 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. $b(a)=\frac{a}{5}-7$

[Terjawab] 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]

[Terjawab] 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

[Terjawab] 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]

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

[Terjawab] 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.)

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