10)Suppose the amount of Carbon-14 remaining in a sample of 100 milligrams after x years can be described by A(x) = 100 e-0.01294x a) How many milligrams of Carbon-14 are initially present? b) How many years will it take for the amount of Carbon-14 to decay to 3 milligrams?

Q: with a 2x2 matrix Consider the following system of linear equations. 5x-20y=-40 -9x+40y=80 Solve the...

A: Given

Q: Let f(x)=3^4x and g(x)=3^4x^2. Which value for xsatisfies f(x)=3⋅g(x)?

A:

Q: decompose into partial fractions (-3x3+25x2-32x-2) / ( (x-2)(x-1)2(x+3) )

A: Given,           -3x3+25x2-32x-2x-2x-12x+3

Q: 2. Let P(t) represent the population of Los Angeles t years after 1900. (a) Interpret P(10) = 319, 1...

A: Let Pt represents the population of Los Angeles year after 1900.

Q: help

A: Since, we have been given that f(x)=x-2 -(i)Our Aim is to solve for f(x)=0 and to tell the point on ...

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A: Given:          M=300−x−y

Q: Evaluate the expression. Write your answer in simplest form. (-4)- 3(-4) -O %3D

A: Given : -162 + 23-18

Q: Uranium 239 is an unstable isotope of uranium that decays rapidly. In order to determine the rate of...

A: Given The exponential molded is Ut=1×0.971t.

Q: Solve the system by completing the steps below to produce a reduced row-echelon form. R, and R, deno...

A:

Q: Kevin drove his car to a concert.His car can go 400 miles with a full tank of gas.He used 30% of the...

A: Given, The car can travel 400 miles with a full tank of gas. It is used 30% of the full tank of the ...

Q: Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through ...

A: Given:x1,y1=1,8Perpendicular equation:3x+7y=1Equation of tangent line:y-y1=mx-x1Equation of slope in...

Q: Projection indicate thtat the global demand for oil will be 103 million barrels per day in 2015. thi...

A:

Q: On moving day, Guyton needs to rent a truck. The length of the cargo space is 13 ft, and the height ...

A: The length of the cargo space is 13 feet and the height is 2 feet less than the width and the truck ...

Q: Simplify image attached.

A:

Q: help

A:

Q: Calculate the determinant of the given matrix and identify the matrix inverse. [2 1 A = |0 L5 -- -2]...

A: Given The matrix is A=21-200457-1

Q: Algebra Question

A:

Q: Write in paper the exact answer plz

A: We know that    A graph is symmetric about x-axis, if (x,y) lies on the graph , then(x,-y) also lies...

Q: 2s +3 Let g (s) = %3D 2s-1 (a) Evaluate g (3). g (3) = (b) Evaluate g (a). Note that "g (a) =" is al...

A: Since, we have been given that g(s)=2s+32s-1-(i)Our aim is to evaluate:- (a) g(3)(b) g(a)(c) g(a)+3

Q: Consider the following functions. f(x) = x + 26, 9(x) = Vx – 26 x - 26 (a) Find (fo g)(x). Find the ...

A: The functions are fx=x3+26 and gx=x-263.   Compute f∘gx: f∘gx=fgx=fx-263=x-2633+26=x-26+26=x There i...

Q: Find the union or intersection. Let A = {1,3,4}, B = {x|x is an even whole number less than 9}, C = ...

A: Given that, A={1, 3, 4} and C={2,5,7,10} Thus, the union A U C consists of all the elements that bel...

Q: The revenue function for a sound system is R(x) = 400x – x2 dollars %3D where x denotes the number o...

A: R(x)=400x-x2 To find the marginal revenue we take derivative R'(x)=400-2x Expression for the margina...

Q: Suppose that the functions u and w are defined as follows. u (x) = x² +3 w(x) = /x+2 %3D Find the fo...

A: Given : ux = x2 + 3wx = x + 2

Q: 3) Solve the following quadratic inequality, express the solution set as an interval, and graph the ...

A:

Q: Solve the following exponential equation. Express your answer as a decimal approximation rounded to ...

A: Givenex-4=123

Q: Find the inverse of A = 34 21 -13 - 13 -8 17

A:

Q: Write in paper the exact answer please

A:

Q: The one-to-one functions g and h are defined as follows. g= {(-4, 2), (2, 7), (6, –5), (9, 6)} %3D h...

A: g=-4, 2, 2, 7, 6, -5, 9, 6hx=3x+10 Now, g-12=-4    ∵g-4=2⇒g-12=-4 Now let, y=3x+10 To find inverse f...

Q: Find the union or intersection. Let A = {1,3,4}, B = {x|x is an even whole number less than 9}, C = ...

A: givenA={1,3,4}C={2,5,7,10}we have to find A∩C=?

Q: Find all points having an​ x-coordinate of 1 whose distance from the point (−3,−6) is 5. The​ poin...

A: Given, x coordinate of the point is 1  Le's the assume the point , (1,y) Then, The distance between ...

Q: Which equation represents the line that passes through the point (7, -12) and is perpendicular to th...

A: The line is perpendicular to y-axis. Thus, the line is a horizontal line. The slope of a horizontal ...

Q: Exercise 6D Use this Venn diagram to answer Questions 1 and 2. Members of youth club (U) Greg lays d...

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: Suppose that f(x) = 6x -5 and g(x) = - 2x + 3. (a) Solve f(x) = 0. (c) Solve f(x)= g(x). (e) Graph y...

A: Given: fx=6x-5 and gx=-2x+3 (a) To solve for fx=0 Solution: fx=06x-5=06x=5x=56 Therefore, at x=56, w...

Q: Write the equation I'm slope intercept form point 8,6 and y intercept 5

A:

Q: The length of a rectangle is 1010 m longer than its width and the area of the rectangle is 320320 m2...

A:

Q: What is the equation in slope-intercept form of the line that passes through the point (3, 2) and (5...

A: To determine: The equation in slope-intercept form of line that passes through the point (3, 2) and ...