The mass of a radioactive substance t years after first being observed is modelled by the equation

Question:

The mass of a radioactive substance t years after first being observed is modelled by the equation m = 40e^−0.244t

a. Find the mass of the substance nine months after it was first observed.

b. Find dm/dt

c. With reference to the model, interpret the significance of the sign of the value of dm/dt found in part b.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

ISBN: 9781292183404

1st Edition

Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran

See More Books

Question Posted: Aug 16, 2023 09:50 AM

The half-life of a radioactive substance is the time it takes to decay by half. The half-life of carbon-14, which is used for dating previously living things, is 5500 years. When an organism dies, it...
The mass, m grams, of a radioactive substance is given by the formula m = m 0 e kt , where t is the time in days after the mass was first recorded and m 0 and k are constants. The table below shows...
KYC's stock price can go up by 15 percent every year, or down by 10 percent. Both outcomes are equally likely. The risk free rate is 5 percent, and the current stock price of KYC is 100. (a) Price a...
Which of these is a true statement about silicate minerals? (a) Melting point decreases as silica percentage increases. (b) Melting point increases as silica percentage increases.
What are the advantages and disadvantages of prototyping?
In the garden pea, orange pods (orp) are recessive to green pods (Orp), and sensitivity to pea mosaic virus (mo) is recessive to resistance to the virus (Mo). A plant with orange pods and sensitivity...
Describe organizational renewal strategies. LO1
The following transactions and adjusting entries were completed by a paper- packaging company called Gravure Graphics International during 2015 and 2016. The company uses straight- line depreciation...
We evaluate business performance primarily by the financial results. Describe a situation where non-financial performance measures would give a better view of how an organization is working toward...
The curve C with equation y = f(x) is shown in the diagram, where The curve has a local minimum at A and a local maximum at B. a. Show that the x-coordinates of A and B satisfy the equation tan 2x =...
A curve C has equation y = ln (sin x), 0 < x < a. Find the stationary point of the curve C. b. Show that the curve C is concave at all values of x in its given domain.
evaluate the sine, cosine, and tangent of the angle without using a calculator. 1. 225 2. 300 3. 750 4. 675
"The initial speed with which a ball is thrown is doubled, with the angle of projection fixed. Is the maximum height to which the ball rises doubled?" Now, let's say you are also allowed to change...
Wally Working Co. emiti bonos con una tasa de inters nominal (contratada) de 15%, por un valor ominal de $80,000, con un vencimiento de 5 anios. Cuando emiti los bonos, la tasa de inters del mercado...
Using the Central Limit Theorem. In Exercises 5-8, assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of 1.2 kg and a...
Swain Athletic Gear (SAG) operates six retail outlets in a large Midwest city. One is in the center of the city on Cornwall Street and the others are scattered around the perimeter of the city....
Please help Calculating NPV and IRR Businesses use NPV and IRR to determine whether a project will add - value for shareholders. After watching the CFA Level I Corporate Finance video, answer the...
In Fig. 19-86, let V = 10.0 V and C1 = C2 = C3 = 25.4 F, How much energy is stored in the capacitor network (a) As shown, (b) If the capacitors were all in series, and (c) If the capacitors were all...
Test whether the 5-year survival rate for breast cancer is significantly different between African American and Caucasian women who are younger than 50 years of age and have localized disease....
What is the coefficient of variation for TBUT as estimated from these data? Ophthalmology Data were collected on TBUT, a measure of how long it takes for tears to form. This is a commonly used...
We wish to use a one-way ANOVA model to compare the means of the four groups. Should we use a fixed effects or random-effects model, and why? Nutrition, Endocrinology A study was performed to relate...
Table 12.47 is the ANOVA table. Table 12.47: ANOVA table of effect of cod liver oil intake during childhood on BMD Nutrition, Endocrinology A study was performed to relate aspects of childhood diet...
Saly paid $52,000 a year paid on a weekly basis. last pay she had $250 withheld in Income Tax, $48.97 for CPP and $15.80 for EI. an additional $and 25.00 in tax are deducted each pay. She allowed to...
Required information [The following information applies to the questions displayed below.] Dain's Diamond Bit Drilling purchased the following assets this year. Asset Drill bits (5-year) Drill bits...
Which of the following partnership items are not included in the self-employment income calculation? Ordinary income. Section 179 expense. Guaranteed payments. Gain on the sale of partnership...

The mass of a radioactive substance t years after first being observed is modelled by the equation

Question:

Step by Step Answer:

a 40e0183 ...View the full answer

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

Students also viewed these Mathematics questions