Help Certain radioactive material decays in such away that the mass remaining after t years isgiven by the function: m(t) = 195e–0.045twhere m(t) is measured in grams. (Roundanswers to 1 decimal place)(a) Find the mass at time t = 0.Your answer isgrams.(b) How much of the mass remains after 10years?Your answer isgrams.(c) How long will it take for the sample to losehalf of its mass?Your answer isyears.

Certain radioactive material decays in such a way that the mass remaining after t years is given by the function: m(t) = 195e-0.045t where m(t) is measured in grams. (Round answers to 1 decimal place).

Certain radioactive material decays in such a way that the mass remaining after t years is given by the function: m(t) = 195e-0.045t where m(t) is measured in grams. (Round answers to 1 decimal place).

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.1: Quadratic Functions And Models

Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...

See similar textbooks

Related questions

Q: 10. sin x cos x dx

A: Given:- ∫ sin3(x) cos5(x) dx

Q: dy If y = (t + 2t + 5) (7Ł² + 3), find dt dy dt

Q: Calculate the work W against gravity required to build a cylindrical column of height 6 m and radius...

A: Given problem:- Calculate the work W against gravity required to build a cylindrical column of heigh...

Q: Use log differentiation to find derivative of y with respect to the given independent variable

A: Topic = Derivative

Q: To verify whether a matrix B is the inverse of the given matrix A, we need to check whether the prod...

Q: 2. 4x +2x lim X00 4x -x+1

Q: 4. 3y(x? - 1)dx + (x³ + 8y - 3x) dy = 0

Q: Set up the integral to find the length of J (X) = e from x = You don't have to integrate it. 0 to x ...

Q: 7 x2 dx + 4x + 20 13

Q: Which of the following equations has amplitude = -2, period = 4, phase shift = - Oy = -2cos8(x + T1/...

Q: 3. Find the domain and the range for the following functions: a) f(x) = -2(x+3)^2+4

A: Given function,f(x)=-2(x+3)2+4The domain of a function is the set of input or argument values for wh...

Q: Slope of a tangent line at t1 = 6.0 and y = at? dy v = lim At-0 dt

A: Given that: y=αt2

Q: Find all the values of x such that the given series would converge. Σ (5)" (,n + 4) n=1 The series i...

A: The given series, ∑n=1∞xn5nn+4

Q: -2

A: To find the given limits from the given graphs.

Q: 13 Find the secord derivative cy") y= x°+3x - when

A: see below the answer submit the q12 with what to do with the question

Q: Ydx - xdy + x(2 - y)dy = y? ey dy %3D

Q: 20. Express the function F(x) = 1/x + J three functions. X as a composition of

Q: (5) (2х — у) — 2у — х dy dx

A: As per the guidelines, we are supposed to solve only one questions as multiples questions have been ...

Q: The prism is bisected by the xz-plane. If P = (5, 2, 4), what is the area of the rectangle formed by...

Q: Suppose the position of an object moving in a straight line is given by s(t) = 5t- 7t-8. Find the in...

A: Given query is to find the velocity of the object at t = 2. We will use derivative to find the veloc...

Q: Find the value x=a where the function is discontinuous. For the point of discontinuity, give (a) f(a...

A: Given the query is to find the point of discontinuity and find indicated limits.

Q: An open box having a square base and hold a volume of 32 cubic inches. What dimensions will require ...

Q: Find the first derivative for the following function. Do not simplify. a) f(x) = (2x² + 4)(x* – 3x)

A: Given: (1) f(x) = 2x3+4x4-3x (2) f(x) = 1+cotx 2cosx

Q: x-2 where is f not differentiable? If f(x) = x-3

A: f(x)=x2-2x-3 Vertical asymptote of the above function is x=3

Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros: 1,...

Q: 4. If one card is drawn at random from a standard deck of 52 playing cards, what is the probability ...

A: Given that: One card is drawn from a standard deck of 52 cards.

Q: Let f(x) = x sin(2 x). Find its average value for 0sxs/2.

A: Given the query is to find the average value of function over the interval [0,π/2].

Q: If a non-winning choice is removed from the ballot, this criterion states that the winner of the ele...

A: Option b)

Q: x2 dx 25 - x2

A: Here we use the trigonometric subsitution method to solve the given Integral.

Q: y' = 4x(2y-y)

Q: Find the angle of least positive measure (in degrees, not equal to the given measure) that is coterm...

A: The objective of the question is determine the least positive coterminal angle with A.

Q: Given the equation below. Give what is being asked. 3 3 sin -xcos, xdx a sin ucos udu 8 xpx, Find: a...

A: According to question,Given definite integral,∫04π3 sin638x cos638x dx = αβ∫0γδπ sin6u cos6u du

Q: Create a formula for the sequence Show how you get the -2,0,3,8,15 using the formula Find the series...

A: Difference between nth and (n-1) th term is nth prime number.

Q: В. Find all vertical and horizontal asymptotes. 2x2+2x+1 15. f (x) 5313 5

Q: Find the exact value of s in the given interval that has the given circular function value. V3 CoS s...

A: Topic = trigonometry

Q: Direction: Find the derivative of the function. y = 2e* +e* Select one: O y' = 3 – 2e* O y' = 3e + 2...

A: We know that; The chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 Given: y=2e-x+e3x

Q: A cylinder is inscribed in a right circular cone of height 12 cm and base radius of 4 cm. Find the l...

Q: Select the function that is odd. f(x) = 3sin(x) f(x) = 3sin 2(x) f(x) = 3sin(x) + 3cos(x) f(x) =...

Q: 0) (0) Evaluate f, y con xy dA R ((x,y): 0sxs, 0sys1)

A: The detailed solution is given below Thank you

Q: Find all values x= a where the function is discontinuous. For each value of x, give the limit of the...

Q: Part (c) Consider the initial value problem dy (t – 2)(t + 3) dt + (t – 5)y = tª + 1, y(-1) = 7. Det...

A: The given initial value problem is: (t-2)(t+3)dydt+(t-5)y=t4+1 ; y(-1)=7

Q: Determine the values of a, b, and c for the function f(x) = ax² + bx +c, that satisfy the following ...

Q: 6x° + 8x² + 45x +36 Consider the indefinite integral 2' + 9x2 Then the integrand has partial fractio...

Q: Find the derivatives of the following functions. Simplify as much as possible by com- bining like te...

Q: f(x) = E g(x) = x2 - 3x Find (fo g)(x). Find the domain of (fo g)(x). (Enter your answer using inter...

Q: CONSIDERING THE SYSTEM OF LINEAR EQUATIONS REPRESENTED BELOW, CHOOSE THE ALTERNATIVE THAT CONTAINS T...

Q: Let t be a real number and let V3 be the point on the unit 1 2 circle that corresponds to t. (a) Fin...

Q: (1) Which is the correct formula for finding the derivative of the product of two functions? O (fg)'...

Q: II. Write the equation of the circle in standard form and in general form given its center and radiu...

Q: One diagonal of a parallelogram is 80.5 m. It makes an ' respectively, with the sides. Find the leng...

Question

Help

Certain radioactive material decays in such a
way that the mass remaining after t years is
given by the function: m(t) = 195e–0.045t
where m(t) is measured in grams. (Round
answers to 1 decimal place)
(a) Find the mass at time t = 0.
Your answer is
grams.
(b) How much of the mass remains after 10
years?
Your answer is
grams.
(c) How long will it take for the sample to lose
half of its mass?
Your answer is
years.

Expert Solution

Step 1

All the subparts are solved below

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is given by A(t)=a(e)rt, where a is the amount ofprincipal initially deposited into an account thatcompounds continuously. Prove that the percentageof interest earned to principal at any time t can becalculated with the formula I(t)=ert1.
Repeat the previous exercise to find the formula forthe APY of an account that compounds daily. Usethe results from this and the previous exercise todevelop a function I(n)for the APY of any accountthat compounds n times per year.
When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream After t minutes is given by C(t)=0.06t0.0002t2 where 0t240 and concentration is measured in mg/L .When is the maximum serum concentration reached, and what is that maximum concentration?
Suppose that the initial mass of radioactive substance is m0 and the half-life of the substance is h. Let m(t) be the mass remaining at time t. a What is meant by the half-life h? b Write a formula for m(t) in terms of the half-life h. c Write a formula for the relative decay rate r in terms of the half-life h. d Write a formula for m(t) in terms of the relative decay rate r.