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Questions in mathematics

[Jawaban] Evaluate the series shown. Then write an equivalent series using summation notation such that the lower index starts at 0. [tex]$\sum_{n=1}^3 2(n+5)$[/tex]

[Jawaban] The cost per person of eating in a buffet is c, and the number of persons eating is n. If k is the constant of proportionality, find the equation of variation? A. c = kn B. k = n / c C. c = k / n D. n = c / k

[Jawaban] 632 × \frac{2}{9} = \square 32 × \frac{2}{9} = \frac{64}{9}

[Jawaban] Find the HCF by using the division method. a. 9, 18, 27 b. 25, 75, 95

[Jawaban] Solve the following problems. 1. A TV show airs at 21:00. You set a reminder 45 minutes before it starts. What time should the reminder go off? Answer: 2. You leave home at 11:30 AM and return at 18:15. How many hours and minutes were you away from home? Answer:

[Jawaban] $=(4x-7)$ c.) $2x^2 - xx - 6$

[Jawaban] What is $4 \log _{\frac{1}{2}} w+\left(2 \log _{\frac{1}{2}} u-3 \log _{\frac{1}{2}} v\right)$ written as a single logarithm? A. $\log _{\frac{1}{2}} w^4 u^2-v^3$ B. $\log _{\frac{1}{2}} w^4\left(\frac{u^2}{v^3}\right)$ C. $\log _{\frac{1}{2}}\left(\frac{w^4}{u^2 v^3}\right)$ D. $\log _{\frac{1}{2}}\left(w\left(\frac{u^2}{v^3}\right)\right)^4$

[Jawaban] $2-\frac{x+1}{x-2}-\frac{x-4}{x+2}$ can be written as a single fraction in the form $\frac{a x+b}{x^2-4}$ where $a$ and $b$ are integers. Work out the value of $a$ and the value of $b$.

[Jawaban] Factor this polynomial: $-3 x^2-16 x-5$ A. $(3 x-1)(x-5)$ B. $-1(3 x+1)(x+5)$ C. $(-3 x+1)(x+5)$ D. $(3 x+1)(x-5)$

[Jawaban] The hypotenuse of a $45^{\circ}-45^{\circ}-90^{\circ}$ triangle measures 18 cm. What is the length of one leg of the triangle? A. 9 cm B. $9 \sqrt{2} cm$ C. 18 cm D. $18 \sqrt{2} cm$