The half-life of uranium-232 is approximately 68.9 years. (1) What is the decay constant, A, of uranium-232? (Express in an exact solution form. That is, use "In2" itself if needed. Also, do not express it by a scientific notation like e-1 for your decimal expression.) P λ = sin (a) x α (2) If a sample initially contains 200 mg of uranium-232, then the formula for m(t), the amount of In 2 t 68.9° How much uranium-232 is uranium-232 (in mg) present at time t (in years) is m(t) = 200e present in the sample after 100 years (to the nearest mg)? Number mg

Q: Calculus Question

A:

Q: number who have not heard it, determine an equation for the number of students who have hear the…

A: We have to find out the equation of the given problem.

Q: In 2000 the population of a country reached 1 billion, and in 2025 it is projected to be 1.1…

A:

Q: A RC circuit has an emf of 310 cos 2t volts, a resistance of 170 ohms, a capacitance of 0.00167…

A:

Q: Q4. Two species of bacteria, A and B, grow independently of each other in a Petri dish. The number…

A: At t = 0, let's say N = N0 Hence, ln |N0| = C Hence, ln |N| = rt + ln |N0| Hence, ln |N| - ln |N0| =…

Q: The temperature dependence of the equilibrium constant is given by the equation: ΔΗ In K = In A – RT…

A:

Q: 8. dr+ (2r cot 0 + sin 20) d0 = 0.

A: This will be a linear differential equation of r. We will write this in standard form and then solve…

Q: 4xi4=*

A: Order :-The order of a differential equation is the order of the highest order derivative involved…

Q: Find energy in kJ of a photon. 2=488 nm. The speed of light is 3.00 x 108 m/s and h = 6.63 x 10-34 J…

A: Energy

Q: If there are G grams of tritium 3H (a radioactive form of hydrogen) in a container, then as a result…

A: Given, The number of grams G of grams left after t years is expressed as  G = initial value ✕ 0.945t…

Q: An expensive piece of equipment is used in the masking operation for semi-conductor manufacture. A…

A:

Q: 1- Solve the following Bernoulli equation, known as the logistic equation (or Verhulst equation): ý…

A: For a differential equation of the form: dydx+P(x)y=Q(x), the integrating factor (IF) is calculated…

Q: of Let Q represent a mass radioactive plutonium (239pu) (in grams), whose half-life is 24,100. The…

A: The quantity of plutonium after t years is Q=1812t24,100

Q: Assume a local community has an initial population of 40,293 and is growing at the rate of 2.4% per…

A:

Q: Suppose in an autocatalytic chemical reaction, compound A reacts to form compound B. Next, suppose…

A: Given that an autocatalytic chemical reaction, compound A reacts to form compound B. The initial…

Q: A radio active material is to be used for an experiment. Its initial mass is x0 = 100 kg.. After 15…

A: Radioactive decay equation.

Q: The half-life of cesium-137 is approximately 30 years. If an artifact initially contains 100 g of…

A: decay constant k=ln2half life

Q: Solve the following equations i st- 7 . log. () - 2

A: We are authorized to solve only 3 subpart of a question, please repost remaining questions Logarithm