Numerade

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PART $ 6 A $ - WORD PROBLEM (A) 1. Find two consecutive integers such that the sum of their reciprocals is 0.45 . 2. The digit sum of a two-digit number is 9 . Let $ x $ be the unit digit of the number. (a) Express the value of the number in terms of $ x $. (b) If the value of the number is twice the value of the product of the two digits, find the value of the number. 3. The sum of two numbers is 10 . Let $ x $ be one of the numbers. (a) Express the values of the other number in terms of $ x $. (b) Find the two numbers such that their product is the maximum. 4. The difference between two numbers is 4 . Let $ n $ be the smaller number and $ S $ be the sum of the squares of the two numbers. If $ S $ is the minimum, find the value of $ n $. 5. The selling price of a product is $ \$ x $, while the number of products being sold is $ (4200-150 x) $. Suppose the cost of each product is $ \$ 12 $. (a) Let $ \$ P $ be the total profit of selling the products. Express $ P $ in terms of $ x $. (b) Find the selling price of each product such that the total profit is the maximum. Suppose the cost of each robot is minimum. (a) Find the cost of each robot and the corresponding number of robots being made in a day. (b) If each robot is sold at $ \$ 3500 $, find the profit of selling all the robots. S 2

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6. In the regression model $ y_{i}=\beta_{0}+\beta_{1} x_{i}+u_{i} $ if the sample mean of $ \mathrm{x} $ is zero, show the $ \operatorname{cov}\left(\beta_{0}, \beta_{1}\right)=0 $, where $ \hat{\beta}_{0} $ and $ \hat{\beta}_{1} $ are the least squares estimators of $ \beta_{0} $ and $ \beta_{1} \cdot $

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given the roots and the leading coefficient whose roots are 5 and 1, and whose leading coefficient is 2. t the variable.)

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16. Multiple Choice: Which of the following proteins is NOT a GTP binding protein? a. Rab b. RTK c. G alpha d. Ras e. Rho

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QUESTION 9 A disk of radius $r = 0.5$ m rolls without slipping on a horizontal floor with a constant clockwise angular velocity of $\omega = 3$ rad/s. A rod AB is hinged to the disk at A, and the end of the rod B slides along the floor. Determine the magnitude of the linear velocity of point A when the line OA joining the center of the disk to the hinge at A is horizontal as shown.

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You receive an hourly wage of AED 140 and is paid overtime at a rate of time-and-a-half for hours worked over 40. If you worked for 51 hours last week, how much is your gross pay last week in AED?

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The laddering technique allows you to do the following: Quantifying brand value Uncovering means-end chains in the subject's mind Analyzing reaction times Tracking of eye gaze and fixation No correct answer Click the correct answer

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Q1. Write a C++ program. Take 20 integer inputs from user and print the following: number of positive numbers number of negative numbers number of odd numbers number of even numbers number of 0.

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List 3 risks and 3 benefits associated with home birth. How would you as the nurse educate the patient about these risks.

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One kg of nitrogen (which can be assumed to be an ideal gas with a constant specific heat of Cp = 7/2) is compressed adiabatically by a mechanically reversible process in a closed system from 300 K and 1 bar, followed by cooling at constant volume to 500 K and 10 bar. Provide the answers to the following: a.) The ratio of Cp to Cv b.) The pressure of the gas after its adiabatic compression c.) The amount of mechanical work done by or on the gas during its isothermal process d.) The amount of internal energy of the gas during its isochoric process e.) The amount of enthalpy of the gas during the isochoric process f.) The total internal energy of the gas as it undergoes a mechanically reversible process g.) The total amount of heat added to or removed by the gas in the system

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natasha c.