Quantity of Cake Total Utility Marginal Utility Quantity of Salad Total Utility Marginal Utility 1 16 16 1 30 30 2 30 14 2 46 16 3 42 12 3 61 15 4 52 10 4 75 14 5 60 8 5 88 13 6 66 6 6 100 12 7 70 4 7 111 11 You are at a restaurant and you want to determine how much cake and salad you should eat to maximize your utility. If your utility schedule is like the one above, and the price of a piece of cake is $1 and the price of a salad is $3, how many pieces of cake should you eat if you have a budget of $25?

Awife was having an affair with her neighbor. the wife and her husband had a prenuptial agreement that prevented the wife from receiving any of the husband’s sizable fortune in the event of a divorce. the wife and her neighbor formed a plan to murder the husband and run away together with the wife’s inheritance. the neighbor shot the husband one evening, killing him instantly, then drove to a town 100 miles away and checked into a motel. later that night, the police showed up at the motel with a valid warrant for the neighbor’s arrest. after the neighbor was arrested and placed in a police car, the police asked the motel clerk for permission to search the room, and the clerk granted the request. the police found the gun hidden in the tank of the toilet. the wife and the neighbor were each charged with first-degree murder and tried separately. at her trial, the wife sought to suppress any evidence of the gun, arguing that it was seized illegally. what is the prosecution’s strongest response to this argument? athe motel clerk gave the police permission to search the room. bthe wife was not staying in the motel room where the gun was found. cthe gun was found in a search incident to a lawful arrest. dthe neighbor did not have a reason

Aplaintiff filed a civil action based on negligence against a defendant in federal district court, alleging that the defendant negligently ran a red light at an intersection and collided with the plaintiff's vehicle, causing the plaintiff's injuries. a week after the close of discovery, the plaintiff filed a motion for summary judgment on the issue of whether the defendant was negligent. with the motion, the plaintiff filed (i) his own sworn affidavit, which stated that the traffic signal was green as he entered the intersection, (ii) an affidavit of a witness who was driving the car behind him, which stated that the witness saw the entire incident and that the plaintiff's traffic signal was green as he approached and entered the intersection; and (iii) an affidavit of another witness, which stated that she saw the entire incident and that the defendant's signal had been red for several seconds before the defendant entered the intersection and was still red when the defendant entered the intersection. the defendant filed a response to the motion, noting that her answer denied negligence and further denied that her traffic signal was red, and argued that the issue of negligence and the issue of whether her traffic signal was red were in dispute, so those issues should be tried to a jury. how should the court rule on the plaintiff's motion?

Why is this statement not a hypothesis? sunflowers require soil and plenty of sunlight and water to grow and thrive. a. it is a well-known fact. b. it is a proven theory. c. it is not falsifiable. d. it is difficult to test.