The function f(x) - 200(0.5)x/50 models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. Find the amount of radioactive material in the vault after 140 years. Round to the nearest whole number. 156 pounds 29 pounds 36 pounds 280 pounds

Q: Dylan is enjoying a comedy night at a local hot spot. It is now open mike time and he has the…

A: The objective of this question is to find out the number of different orders in which Dylan can…

Q: Graph the parabola. y=x²-8x+18

A: We need to graph the parabola :

Q: Two thirds of the sum of 36 and this unknown number is 28. Identify the unknown number.

A: Let the unknown number be x."Two-thirds of the sum of 36 and the unknown number is 28 . "

Q: 1. To solve problems involving coins-pennies, nickels, dimes, and quarters-use the same unit of…

A: In this question, we will see how many coins patria has.

Q: Please solve using synthetic division and quadratic formula

A:

Q: The correlation coefficient r between the age of a homeowner, x, and the number of years remaining…

A: The correlation coefficient is given by :

Q: 5. Graph h(x) x³ + 2x² 3 2" domain and range. 29x +42 x-2 6. Willy Wonka picks 3 Oompa Loompas Ewmpa…

A: Work and time formula:-

Q: You volunteer to help drive children at a charity event to the​ zoo, but you can fit only 7 of the…

A: The objective of this question is to find out how many different groups of 7 children can be formed…

Q: Which of the following functions has all re O f(x) = x² g(x) = = h(x) = X 1(x) = 1 x² + 1 □ k(x) =…

A:

Q: x 55° 8 H 4. Question Details Round to Nearest Tenth Sample Answer: 4.2 Type a response

A:

Q: 2. Suppose A and B are 3 x 3 with det(4) = 3 and det(B) = -1. Compute the following. q (a) det(4¹)…

A:

Q: Let T : M2,2 → M2,2 be a linear transformation and suppose that: 0 2 -2 0 -1 3 T ¹ ([1]) - [²²],…

A: Consider the transformation

Q: How to sloce this equation please show me step by step 0.08= a /0.65 + (0.056-0.0175)

A:

Q: Solve the following systems of equations for the unknown variables. Enter your answer in (x, y)…

A: The system of equation is given byTo determine: The solution of the system of equation.

Q: 2. Evaluate: Σ(-n²-n) n=1

A:

Q: 18. Write equations that use rules about operating with fractions and possibly also properties of…

A:

Q: Solve with steps. 1. (x+4)^2=36

A: The objective of the question is to find the value of x that satisfies the equation (x+4)^2=36.

Q: Which model best describes the data set? Construct the function that describes the data.

A: given a set of data. Which model best describes the data set?

Q: Given a consumption function C = f(Y)=c0+cY with c=75%, what will total consumption expenditure be…

A: The objective of the question is to find the total consumption expenditure given the consumption…

Q: Solve the following system of linear equations by writing its corresponding RREF, and then write its…

A: The system Ax=b is,The augmented matrix is,

Q: Raise x to the eigth power, multiply by 11, and then add 3. (a) Write a function of a that performs…

A: given function We need to find the inverse of the function.

Q: Graph the following equation in a rectangular coordinate system. x=7 Use the graphing tool to graph…

A: Givenx = 7

Q: n ice cream store sells 3 ​drinks, in 4 ​sizes, and 8 flavors. In how many ways can a…

A: An ice cream store sells 3 ​drinks, in 4​sizes, and 8 flavors. In how many ways can a customer order…

Q: Solve the following systems of equations for the unknown variables. Enter your answer in (x, y)…

A: To solve the system of equations, means to find the value of the variable.

Q: Answer these questions. Show all work in steps. 1. (x^3)-(12x^2)+10x=0 2. (x^2)-5x=6 3.…

A:

Q: 7. Find the general solutions of the system with the following augmented matrix [1 - 2 - 1 3 3 - 6 -…

A:

Q: I can you use the Distributive Property to find the product? Use the array to help you decompose and…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Of the 50 researchers in a workgroup, 40 percent will be assigned to Team A and the remaining 60…

A: Ofthe 50 researchers in a workgroup, 40 percent will be assigned to Team A and the remaining 60…

Q: Solve the following equations for 0≤x≤ 2n: (a) 3 sin³x + 2 sin x-1=0 (b) 4 cos³x + 5 cos x+1=0 (c) 2…

A: To solve the following equations for .Note: Since, the student has posted a question with multiple…

Q: Solve and reduce the result to lowest fractional terms. Input answer as a fraction, not a decimal.…

A: Marie worked a total of 48 hours.She worked on her first job on,

Q: If the equation y = mx + c is plotted on axis with x on the horizontal axis and y on the vertical…

A: The objective of the question is to find the x-coordinate of the point where the line represented by…

Q: By trial and error, determine the value of log(2)15

A:

Q: Simplify the expression. Use positive exponents. Assume variables represent nonzero real numbers.…

A:

Q: 084= 0=(b)(0(5)-(9)

A: 6x-570×4=0

Q: Are the vectors Choose -31 [-2] 1 00-0- 3 4 3 and -2 linearly independent? If they are linearly…

A: we have given three vectors

Q: 3.2 Consider the diagram, below. All units are in centimeters. (5,0.5) B (2,0,5) (3.0.0) 3.2.1…

A: Note: As per our guidelines, we can solve first three sub parts. Please repost the remaining…

Q: f possible, find an invertible matrix P so that D = P¯¹AP is a diagonal matrix. If it is not…

A: The given matrix is,A=(2402)

Q: A collection of building blocks is set up into 51 rows. The first row has 124 blocks and each row…

A: A collection of building blocks is set up into 51 rows. The first row has 124 blocks and each row…

Q: The graph of a quadratic function with vertex (−1,0) is shown in the figure below. Find the domain…

A: Here graph is given in the question which is a parabola, we need to find domain and range of the…

Q: Solve for w in the proportion. 2w +3 5 W-2 3

A: To solve for w in the given proportion,we can cross-multiply to eliminate the fractions. 2w+35=w−23

Q: Between what two numbers do the middle half of the responses fall? ||||| 40 45 50 55 60 65 70 75 80…

A: We are given a boxplot that summarizes the responses. We have to find  between what two numbers do…

Q: I don't see any answers?

A: The derivative of the given function F(x) can be found using chain rule. The question is solved…

Q: f(t) = sin² 3t. cos³ t

A:

Q: 20. Write equations that use rules about operating with fractions as well as properties of…

A: The given equation is .The aim is to write the equation that rules about operating with fraction.

Q: Which is the best estimate for the number who bought fewer than 20 items during their trip? Rel f…

A: The histogram shows the number of items that customers bought during a trip to the grocery store one…

Q: 5. Calculate the following when: A = 4+j3, B=92-20°, C = -7+j2. The purpose of this problem is for…

A: Given the information as follows:…

Q: Ken just bought a house. He made a $25,000 down pay- ment and financed the balance with a 20-year…

A: Ken had taken out the -year home mortgage loan with an interest rate of %. His monthly payment is…

Q: For the equation given below, complete parts and b. 8x+3y=24 a. Rewrite the given equation in…

A:

Q: x 33° 15 H 5. Question Detail Round to Nearest Tenth Sample Answer: 4.2 Type a response

A: Consider

Q: A-[1 3 2.-1] B-[20-4 5-2 6] Find AB.

A: