Question 3. A pendulum with a hanging mass of 40.0 g, takes 21 s for 12 oscillations. What is the length of the string? 4. If a wave has 6 nodes and the standing wave takes 7 s to complete that standing wave, what is the frequency of the wave?

3. (45pts.) A wire with an insulating coating carries a current \( I \) and it is bent into the form shown in the figure. The two curved sections are semicircles of radii \( R_{1}=R \) (on the \( x z \) plane) and \( R_{2}=3 R / 5 \) (on the \( x y \) plane), respectively. The wires are thin enough that the current can run along the \( x- \) axis in both directions (left side of figure). (a) Find the magnetic field at the origin. (b) A point charge \( q \) crosses the origin with velocity \( \vec{v}=\frac{v}{2}(\sqrt{3} \hat{\imath}-\hat{\jmath}) \). What is the magnetic force on this point charge at this instant of time? (c) Show that the force calculated in part (b) is perpendicular to both the velocity of the particle and the magnetic field.

PYTHON The following output was written to illustrate the rolls of two dice. 000 roll 1 2 3 4 5 6 1 2 3 4 5 6 6 7 2 3 4 5 6 7 8 3 4 5 5 6 7 8 9 4 5 6 7 8 9 10 5 6 7 8 9 10 11 6 7 8 9 10 11 12 000 Complete the code with the statements that will create the above output. die1 =[1,2,3,4,5,6) rollChart = ["for o in range(8)]for i in range(8)] Complete code here!

Chapter 7 Inventories 383 EX 7-12 Periodic inventory by three methods OBJ. 2, 4 The units of an item available for sale during the year were as follows: Jan. 1 Inventory 1,000 units at $120 Feb. 17 Purchase 1,375 units at $128 July 21 V10 Nov. 23 Purchase 1,500 units at $136 Purchase 1,125 units at $140 There are 1,200 units of the item in the physical inventory at December 31. The periodic inventory system is used. Determine the inventory cost by (a) the first-in, first-out method; (b) the last-in, first-out method; and (c) the weighted average cost method.

PC Magazine provided ratings for several characteristics of computer monitors, including an overall rating.† The following data show the rating for contrast ratio, resolution, and the overall rating for ten monitors tested using a 0–100 point scale. The highest rated monitor was the BenQ BL3201PH, with an overall rating of 87.ModelContrastRatioResolutionOverallRatingBenQ BL3201PH788987AOC U2868PQU988786NEC MultiSync PA322UHD848285Acer XB280HK787782Asus ROG Swift PG278Q658282AOC E1759Fwu577882Dell UltraSharp UZ2715H568381NEC MultiSync EA244UHD777579HP DreamColor Z27x478177Dell UltraSharp UZ2315H557076(a) Develop the estimated regression equation that can be used to predict the overall rating using the contrast ratio rating. (Round your numerical values to two decimal places. Let x1 represent the contrast ratio rating and y represent the overall rating.)ŷ =  (b) Develop the estimated regression equation that can be used to predict the overall rating using both the contrast ratio rating and the resolution rating. (Round your numerical values to two decimal places. Let x1 represent the contrast ratio rating, x2 represent the resolution rating, and y represent the overall rating.)ŷ =  (c) Predict the overall rating for a computer monitor computer that has a contrast ratio rating of 83 and a resolution rating of 72. (Round your answer to the nearest integer.)

answer using c pleaseanswer in c please 7.8 LAB 1-4: BankAccount struct Given main, build a struct called BankAccount that manages checking and savings accounts. The struct has three data members: a customer name (string), the customer's savings account balance (double), and the customer's checking account balance (double). Assume customer name has a maximum length of 20. Implement the BankAccount struct and related function declarations in BankAccount.h, and implement the related function definitions in BankAccount.c as listed below: • BankAccount InitBankAccount(char* newName, double amt1, double amt2) - set the customer name to parameter newName, set the checking account balance to parameter amt1 and set the savings account balance to parameter amt2. (amt stands for amount) • BankAccount SetName(char* newName, BankAccount account) - set the customer name • void GetName(char* customerName, BankAccount account) - return the customer name in customerName • BankAccount SetChecking(double amt, BankAccount account) - set the checking account balance to parameter amt • double GetChecking(BankAccount account) - return the checking account balance • BankAccount SetSavings(double amt, BankAccount account) - set the savings account balance to parameter amt • double GetSavings(BankAccount account) - return the savings account balance • BankAccount DepositChecking(double amt, BankAccount account) - add parameter amt to the checking account balance (only if positive) • BankAccount DepositSavings(double amt, BankAccount account) - add parameter amt to the savings account balance (only if positive) • BankAccount WithdrawChecking(double amt, BankAccount account) - subtract parameter amt from the checking account balance (only if positive) • BankAccount WithdrawSavings(double amt, BankAccount account) - subtract parameter amt from the savings account balance (only if positive) • BankAccount Transfer To Savings(double amt, BankAccount account) - subtract parameter amt from the checking account balance and add to the savings account balance (only if positive) 7.6 LAB 1-2: Vending machine Given two integers as user inputs that represent the number of drinks to buy and the number of bottles to restock, create a Vending Machine variable that performs the following operations: • Purchases input number of drinks • Restocks input number of bottles • Reports inventory Vending Machine.h contains the struct definition and related function declarations. Vending Machine.c contains related function definitions. A Vending Machine's initial inventory is 20 drinks. Ex: If the input is: 5 2 the output is: Inventory: 17 bottles 359452.2296058.qx3zqy7

The 8-lb block rests on a surface for which 𝜇𝑘 = 0.6. It is acted upon by a radial force of 2 lb and a horizontal force of 7 lb, always directed at 30° from the tangent to the path. If the block is initially moving in a circular path with a speed 𝑣1 = 2 ft/s at the instant the forces are applied, determine the time required before the tension in cord AB becomes 20 lb. Neglect the size of the block for the calculation. 4 ft B 7 lb 30° 2 lb