Questions asked
Evaluate the expression.\\ $\sin^2 210^\circ + \cos^2 210^\circ$\\ $\sin^2 210^\circ + \cos^2 210^\circ = $\\ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
In a school with 540 students, the ratio of students to teachers is 20 to 1. How many new teachers need to be hired to reduce this ratio to 15 to 1? teachers
What is the Rank of the following matrix? \begin{bmatrix} 3 & 2 & 5 \\ 6 & 5 & 13 \\ 3 & 0 & -1 \end{bmatrix} A. 0 \\ B. 1 \\ C. 2 \\ D. 3 QUESTION 2 Fill in the blanks. Given the system of equations: $4x_1 - 2x_2 + 2x_3 = 10$ $2x_1 + x_3 = 3$ $4x_1 + x_2 + 4x_3 = 6$ And recalling Cramer's Rule (pg 298) $x_1 = \frac{D_1}{D}, x_2 = \frac{D_2}{D}, x_3 = \frac{D_3}{D}$ $D = \underline{\qquad\qquad\qquad}, D_1 = \underline{\qquad\qquad\qquad}, D_2 = \underline{\qquad\qquad\qquad}, D_3 = \underline{\qquad\qquad\qquad}, x_1 = \underline{\qquad\qquad\qquad}$
Example 6.38 Applying Green's Theorem. Calculate the flux of the field $F = (-y, x)$ along the path connecting the points, starting at the origin, and traveling from $(0, 0) \to (8, 7) \to (2, 12)$ $\to (-3, 9) \to (-3, 3) \to (-7, -3)$
Find the solution of the given initial value problem: y''' + y' = sec(t), y(0) = 6, y'(0) = 3, y''(0) = -4. y(t) = 2 + 4 \cos(t) + 4 \sin(t) - t \cos(t) + \sin(t) \ln(\cos(t))
Multiple Choice Question 82 Recording depreciation each period is necessary in accordance with the expense recognition principle. asset valuation principle. historical cost principle. going concern principle.
3. Prior to World War II, most high-speed steels contained about 18%W. A typical composition was 1% C, 4% Cr, 2% V, 18% W, and balance Fe. Because of the shortage of tungsten, a substitute had to be found for some or all of the tungsten. A. What element would you suggest as a substitute for tungsten? Molar mass of W (183. g/mole) (10points) B. Assuming an equal effectiveness of the substitute and tungsten on an atom-for-atom basis, what percent of the substitute would be needed to substitute for each percent W? (10points)
The switch in the circuit has been in position 1 for a long time. The switch moves instantaneously to position 2 at $t=0$. a. Find the time domain expressions for $i$, $v_1$ and $v_2$. Sketch $i(t)$, $v_1(t)$ and $v_2(t)$ graphs. b. Use final value theorem to check $s$-domain expressions of $i$ and $v_1$.
explore the ethical arguments regarding the practicality and usefulness of establishing standards among psychologists. think ethics standards and policies involve a “one size fits all” approach, e.g., psychology, journalism, business, the media, legal system, etc.? Explain own words
B. Directions: Complete the proportions and congruence statements. \(\square LMNO \cong \square HIJK\) (1 point each) 1. \(\angle M \cong \underline{\qquad}\) 2. \(\angle K \cong \underline{\qquad}\) 3. \(\angle N \cong \underline{\qquad}\) \(\frac{MN}{IJ} = \frac{?}{JK}\) 5. \(\frac{HK}{?} = \frac{HI}{LM}\) 6. \(\frac{IJ}{MN} = \frac{HK}{?}\)
