Question a. Write an equation for a parabola whose vertex is the point (5. - 10). Use a as an unspecified constant. Preview b. Find the value of a if the y-intercept of the parabola is -5. Preview

Determine the monthly payment for the installment loan. Annual Number of Amount Percentage Payments per Time in Financed (P) Rate (c) Year (n) Years (t) $1000 7.5% 12 3 Click the icon to view the partial APR table. The monthly payment is $ (Round to the nearest cent as needed.)

​​​​​​​ The bar has a cross-sectional area of \( 1900 \mathrm{~mm}^{2} \) and \( E=250 \mathrm{GPa} \). (Figure 1) Determine the displacement of its end \( A \) when it is subjected to the distributed loading. Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of contraction and positive value in the case of elongation. Figure 1 of 1 X Incorrect; Try Again; 4 attempts remaining

      please solve all tasks A car rental company owns five types of cars: Small, Economy, Standard, Family, Exclusive. The prices for per day rent for each type of the cars aregiven in British pounds by the \( 1 \times 5 \) matrix \[ \mathbf{p}=\left(\begin{array}{lllll} 15 & 19 & 21 & 28 & 37 \end{array}\right) \] The care demand for five days of a week ahead is given by the matrix \[ \mathbf{A}=\left(\begin{array}{ccccc} 2 & 4 & 3 & 1 & 3 \\ 4 & 3 & 3 & 5 & 3 \\ 10 & 11 & 8 & 6 & 9 \\ 4 & 3 & 2 & 3 & 4 \\ 2 & 1 & 3 & 2 & 1 \end{array}\right) \] Calculate the total income in British pounds of the company for this week. a. 10500 b. 3420 C. 2242 d. 4520 Consider the clockwise rotation \( T \) of \( \mathbb{R}^{2} \) by the angle of \( 30^{\circ} \). Mark only correct statements. a. The matrix of \( T \) is \( \left(\begin{array}{cc}-\frac{\sqrt{3}}{2} & \frac{1}{2} \\ \frac{1}{2} & -\frac{\sqrt{3}}{2}\end{array}\right) \) b. The matrix of \( T \) is symmetric. c. The matrix of \( T \) is \( \left(\begin{array}{rr}\frac{\sqrt{3}}{2} & -\frac{1}{2} \\ \frac{1}{2} & \frac{\sqrt{3}}{2}\end{array}\right) \) d. The matrix of \( T \) is \( \left(\begin{array}{cc}\frac{\sqrt{3}}{2} & \frac{1}{2} \\ -\frac{1}{2} & \frac{\sqrt{3}}{2}\end{array}\right) \) e. The matrix of \( T \) is \( \left(\begin{array}{cc}\frac{\sqrt{3}}{2} & \frac{1}{2} \\ -\frac{1}{2} & \frac{\sqrt{3}}{2}\end{array}\right) \) A company manufactures three types of perfume-refreshing \( (R) \), standard \( (S) \), and exclusive \( (E) \), in four factories in different countries \( A \), B, C, D. The distributions of costs in producing a single piece of perfume are given in the left table below. The number of pieces of perfume produced in one month at the four locations are given in the right table. a. Location A materials: \( \$ 4500 \) b. Location B: labor \( \$ 8000 \) c. Location A: labor \( \$ 14000 \) d. Location D: materials \( \$ 25000 \) e. Location C: overheads \( \$ 16000 \)

A car rental company owns five types of cars: Small,Economy, Standard, Family, Exclusive. The prices for per day rent for eachtype of the cars are given in British pounds by the1×5matrix

23. In the figure, a force Fis applied on a block of mass m that is on a horizontal surface. The coefficient of kinetic friction between m and the surface is u. Which of the following is true? F e f m a. f= (mg - Fsin ) b. f = mg cos @ c. f=u mgtan d. f=u mg 24. In the figure, the coefficient of kinetic friction between m1 = 2.00 kg and the table is u = 0.200. The hanging mass m2 = 3.00 kg. What is the acceleration of the a m m mg 23. 5.91 m/s2 24. 8.49 m/s2 25. 6.33 m/s 26. 7.63 m/s

The bar has a cross-sectional area of 1450 mm2mm2 and EE = 250 GPaGPa. (Figure 1).Determine the displacement of its end AA when it is subjected to the distributed loading. The bar has a cross-sectional area of 1450 mm and E = 250 GPa. (Figure 1) Part A Determine the displacement of its end A when it is subjected to the distributed loading Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of contraction and positive value in the case of elongation. μΑ ? 8A = Value m Submit Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remaining Provide Feedback Next > Figure < 1 of 1 > w = 500x15 N/m -1.5 m