##### Manny was arrested as the main suspect in a murder investigation. Manny was brought into an...

Manny was arrested as the main suspect in a murder investigation. Manny was brought into an interrogation room, but was not read his Miranda rights. A police officer asked Manny, “Where were you on the night of May 2?” Manny proceeded to confess to the murder, detailing the time and location of the murder and the use of a knife as a murder weapon.

The officer immediately left the room, and he then realized that he accidentally forgot to read Manny his Miranda rights. He reported his mistake to the chief, who decided to place Manny in a holding cell.

Two hours later, Manny was brought back into the interrogation room where he was questioned by a different officer. Prior to questioning, this officer properly read Manny his Miranda rights.

Manny stated that he understood his rights and repeated his confession about the time and location of the murder but did not mention the knife.

Police then went to the location and found the victim and the weapon (a knife) used in the murder next to the body. The knife was later found to have Manny's blood and fingerprints.

At his trial, Manny admitted that both of his statements were voluntarily made, but argued that they should each be suppressed, along with the murder weapon (knife) since all were the "fruit" of a Miranda violation.

Which, if any, pieces of evidence should be suppressed?

 A. Both of the confessions and the murder weapon should be suppressed. B. The first confession should be suppressed, but the second confession and the weapon should be admitted. C. Both of the confessions should be suppressed, but the weapon should be admitted. D. The first confession and the weapon should be suppressed, but the second confession should be admitted.

##### explain set operations and the laws of set theory with examples

explain set operations and the laws of set theory with examples

##### Creatine and protein are common supplements in most bodybuilding products.  Bodyworks, a nutrition health store, makes a...

Creatine and protein are common supplements in most bodybuilding products.  Bodyworks, a nutrition health store, makes a powder supplement that combines creatine and protein from two ingredients (X1 and X2). Ingredient X1 provides 20 grams of protein and 5 grams of creatine per pound.  Ingredient X2 provides 15 grams of protein and 3 grams of creatine per pound.  Ingredients X1 and X2 cost Bodyworks $5 and$7 per pound, respectively.  Bodyworks wants its supplement to contain at least 30 grams of protein and 10 grams of creatine per pound and be produced at the least cost.

Determine what combination will maximize profits.

Use Excel Solve to determine the solution:

 a. Decision variables yield, = (5, 0) and objective function value is 9 b. Decision variables yield = (3, 1) and objective function value is 10 c. Decision variable yield = (2,0) and objective function value =10 d. Decision variable yield = (2,2) and objective function value = 12

##### Amazon regularly couriers rectangular packages overseas. The girth of a rectangular package is defined to be...

Amazon regularly couriers rectangular packages overseas. The girth of a rectangular package is defined to be the perimeter of a cross section perpendicular to the length.You prefer to use Speedy Couriers for your international deliveries, but they will only carry rectangular packages where the sum of length and girth is at most 150 cm. Find the dimensions of the package with the largest volume that they will carry. Assume that the critical point gives a maximum

##### Solve the differential equation by variation of parameters, subject to the initial conditions y(0) = 1,...

Solve the differential equation by variation of parameters, subject to the initial conditions

y(0) = 1, y'(0) = 0.

2y'' + y' − y = x + 7

##### (Advanced Calculus and Real Analysis) - Lebesgue outer measure * Please prove that the Cantor set...

(Advanced Calculus and Real Analysis) - Lebesgue outer measure

* Please prove that the Cantor set C has Lebesgue outer measure zero.

##### Explain the importance of error analysis in numerical methods with suitable example. Out of Bisection method...

1. Explain the importance of error analysis in numerical methods with suitable example.
2. Out of Bisection method and secant method which one is better and why? Solve one application based problem using that method.
3. Use Newton-Raphson Method to find the root of trigonometric function correct up to seven decimal places. (Trigonometric function should be complex)
4. Solve one problem which is based on the application of Interpolation.
5. Using numerical differentiation solve one application based problem. (Use central difference approximation and problem must include first order as well as second order derivatives)
6. Out of Trapezoidal rule and Simpson’s 1/3rd rule which one is better explain in detail. Also solve one application based problem using that rule. Compare the exact and approximate result to compute the relative error.

(I saw the same question already uploaded in the chegg but i need other numbers )

##### If p,p+2 are twin primes, prove 4((p−1)!+1)+p≡0 modp(p+2)

If p,p+2 are twin primes, prove 4((p−1)!+1)+p≡0 modp(p+2)

##### Convert the base-10 number to Two’s Complement. Show your work. (a) −12 (b) −32 (c) −57...

Convert the base-10 number to Two’s Complement. Show your work.

(a) −12 (b) −32 (c) −57 (d) −112 (e) −24 (f) −85