Explain how a Merkle tree can be used for integrity of individual piece of a large data and for data retrievability.

The baseball diamond at Grayson Stadium is a square with 90 ft sides. A batter hits the ball
and runs to the right toward first base with a constant speed of 24 ft/s. At the same time a
runner on 3rd base runs home at a constant speed of 28 ft/s. At what rate is the distance
between the two runners changing two seconds after they start running?

Case 2 Method:
y" + 3y' + 2y = 7cos(x) - sin(x)

knot theory

explain Jones polynomial and kauffman polynomial.

Prove that every finite integral domain is a field. Give an example of an integral domain which is not a field.

Please show all steps of the proof. Thank you!!

Solve

y'' - 2y' + 5y = e^xcot(2x)

Is infinity represented only by Cantor’s full hierarchy of transfinite numbers (Alephs), since no Aleph is large enough to number all the Alephs in the hierarchy? Has Cantor has not captured, mathematically, “genuine” infinity?

Give an example of a graph G with p(G) = 7 and c(G) = 3.

Discrete Mathematics: Choose the correct choices. There could be more than one answer:

Events A and B are independent events if(choose all correct answers). Note: P(A) denotes probability of event A.

a) P(A intersection symbol B)=P(A|B)P(B)

b) P( A intersection symbol B)=P(A)P(B)

c) P( A intersection symbol B)=P( B intersection symbol A)

d) P(A|B)=P(B|A)

You are tasked with evaluating the effect of the age of a home on its selling price. Use the Housing Prices dataset posted on Cougars Courses to answer this question. In your answer clearly (1) state your hypothesis, (2) show the necessary steps to conducting econometric research, (3) explain your rationale in each step and (4) state your conclusion.

Delia purchased a new car for $23,350. This make and model straight line depreciates to zero after 13 years. Identify the coordinates of the x- and y-intercepts for the depreciation equation. Determine the slope of the depreciation equation. Write the straight line depreciation equation that models this situation.

in Philosophy 160 Deductive Logic II,

Prove in predicate logic with identity that there is at least one solution to Hilbert's set of simultaneous equations from the premise that there's exactly one solution to them. Do not combine two steps into one. Sx : x is a solution to Hilbert's set of simultaneous equations.

Explain both the Thomas theorem and the self-fulfilling prophecy

Suppose that n guests all have an identical key to get into a conference, which is given to the front desk of the venue. As they are leaving, the keys are given back in a random order. What is the probability that no guest gets back their original key?