Questions in Grade College

Questions in Grade College

[Terjawab] 22. Show that (i) [tex]$\binom{n}{0}+\binom{n}{1}+\binom{n}{2}+\cdots\binom{n}{n}=2^n$[/tex] (ii) [tex]$\binom{n}{0}-\binom{n}{1}+\binom{n}{2}-\cdots-\binom{n}{n}=0$[/tex] 23. When [tex]$(1-2 x)^p$[/tex] is expanded, the coefficient of [tex]$x^2$[/tex] is 40. Given that [tex]$p\ \textgreater \ 0$[/tex], use this to find (i) the value of the constant [tex]$p$[/tex] (ii) the coefficient of [tex]$x$[/tex] (iii) the coefficient of [tex]$x^2$[/tex]

[Terjawab] I was part of Stalin's secret police force.

[Terjawab] Based on the information in the table, which two elements are most likely in the same group, and why? | Element | Atomic mass (amu) | Total electrons | Valence electrons | Year isolated | |---|---|---|---|---| | Bismuth (Bi) | 209 | 83 | 5 | 1753 | | Nitrogen (N) | 14 | 7 | 5 | 1772 | | Oxygen (O) | 16 | 8 | 6 | 1772 | | Sodium (Na) | 23 | 11 | 1 | 1807 | | Thallium (TI) | 204 | 81 | 3 | 1861 | A. bismuth and thallium, because their atomic masses are very similar B. nitrogen and oxygen, because they were both first isolated in the same year C. sodium and thallium, because their names both end in the same suffix: -ium D. bismuth and nitrogen, because they have the same number of valence electrons

[Terjawab] Determine the slope of the tangent to the curve [tex]y=x^2[/tex] at the point with [tex]x[/tex]-coordinate 11. A. 22 B. 1 C. 33 D. 11

[Terjawab] What is the equation of a circle with center $(-2,3)$ and radius $4$? A. $(x+2)^2-(y-3)^2=16$ B. $(x+2)^2+(y-3)^2=16$ C. $(x+2)^2+(y-3)^2=4$ D. $(x-2)^2+(y+3)^2=16

[Terjawab] Evaluate $(h h)\left(\frac{7}{5}\right)$ given that $h(x)=\frac{1}{5 x+2}$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $( hh )\left(\frac{7}{5}\right)=$ $\square$ (Simplify your answer.) B. The answer is undefined.

[Terjawab] Find $34n = 1001/2$.

[Terjawab] Use logarithms to solve the exponential equation. [tex]2^{x+2}=5^{x-4}[/tex] The solution is [tex]x=[/tex] ____. Simplify your answer. Round the final answer to three decimal places as needed. Round all intermediate values to six decimal places as needed.

[Terjawab] Homework Progress 33 / 95 Marks By rounding to 1 significant figure, estimate the answers to these questions: a) $78 \times 92$ b) $615 \times 38$ c) $423 \times 764$

[Terjawab] One of the unique and challenging aspects of global affairs is the fact that A. the United Nations has been given the authority to determine the outcome of international disputes. B. no world-level authority exists to mandate when and how the world’s nations interact. C. multi-national corporations govern trade interactions between countries. D. the United States is responsible for being the world’s policeman.