A rectangular pen is made with 100m of fencing. 1. Draw a picture of the enclosure and label the dimensions, let the shorter side (width) = x. 2. Express the area of the enclosure as a function of the width. 3. Draw a sketch a picture of the function in an appropriate viewing window. . Find the maximum area of the pen. What are the dimensions that will give you the maximum area? WINDOW: Xmin: Xmax: Xscl: Ymin: Ymax: Yscl:

Q: Use the graph to find the following. Find f(1) Find f(3) -2 f(x)=log, x 2 1 2 3 4

A: We find the function values using the graph of the function.

Q: Find an invertible matrix U such that UA R is the [21 1 -1 -1 0] -12 1 1 A = 3 -1 1-2 3

A:

Q: Solve the system of linear equations (a) Suppose the coefficient matrix is A = 3x+4y=-1 -4x-5y= 2 3…

A: Given,

Q: The given function values satisfy a function defined by f(x) = ax² +bx+c. ƒ(4) = 46.4 f(2)= 19.2…

A:

Q: Olivine purchased 50 chocolate bars for fundraising. Her total cost was $150. If the bars with fruit…

A:

Q: Use a calculator to evaluate the expression. 98 3 In

A:

Q: Find the maximum value of the function z = 4x+10y subject to the following constraints. x≥2 y22…

A:

Q: tility to verify your results. (If an answer cannot be calculated, enter IMPOSSIBLE into any cell of…

A:

Q: Supppose A is an invertible n x n matrix and is an eigenvector of A with associated eigenvalue 8.…

A: Supppose A is an invertible n x n matrix and v is an eigenvector of A with associated eigenvalue 8.…

Q: The force needed to keep a car from skidding on a curve varies inversely as the radius of the curve…

A:

Q: 90 Express each of your answers as a percent rounded to the nearest tenth (for example, 12.3%). a.…

A: Given survey data

Q: Find the inverse of the matrix (if it exists). (If the answer does not exist, enter DNE in any cell…

A:

Q: Solve the system of linear equations (a) Suppose the coefficient matrix is A = Find A matrices. -1…

A: Given dataSystemof linear equations,

Q: For f(x) = x² +5 and g(x)=√√x-3, find the following composite functions and state the domain of…

A:

Q: A parabola is shown below. Its vertex and another point on the parabola are labeled. Write an…

A: Consider the graph of the parabola

Q: The opening of a railway bridge over a roadway is in the shape of a parabola. A surveyor measures…

A:

Q: If 81% of an aspirin remains in the bloodstream after 4.0 hours, how long after a 75 mg aspirin is…

A: The decay equation is                           where,     A= amount remaining  after t hours…

Q: ) Solve the system using Cramer's Rule. x 4x + 9y = + 6y = -3 1 First, write the system as a matrix…

A: Consider the system

Q: 10 Determine the least possible degree for the polynomial function shown. 10 31

A:

Q: A refrigerator contains 6 cans of diet soda and 7 cans of regular soda. If four cans of soda are…

A: A refrigerator contains 6 cans of diet soda and 7 cans of regular soda. If four cans of soda are…

Q: is the permutation (245)(134) odd or even?

A: The objective of this question is to determine whether the given permutation is odd or even. In the…

Q: Suppose that A and B are independent events such that P (4)=0.40 and P(B)=0.50. Find P (ANB) and…

A:

Q: (a) If A is a 2 x 2-matrix, then det (2A) = 2 det (A).

A: Since we are given with the multiple number of question and our guideline is solve  first question…

Q: A student sketched some art on an 8.5 inch x 11 inch piece of paper. She wants to resize it to fit…

A:

Q: In a circle with a 100 cm ​radius, how long is an arc associated with an angle of 3.8 ​radians?

A:

Q: a. f(-1)= b. (3) = c. Find a number d such that (d+1)=f(d)-2.

A: ** As per our guidelines, we are permitted to answer only one question with a maximum of 3 answers.…

Q: 2. Write a division and multiplication expression to represent the diagram. Division Expression: 2 /…

A:

Q: Find the equation that represents the proportional relationship in this graph, for y in terms of x.…

A:

Q: Suppose that the augmented matrix of a system of linear equations for unknowns x, y, and z is 10 5…

A:

Q: to grow to $70,000? Assume a rate of interest of 10% compounded continuously. 0.

A:

Q: The value V of a certain automobile that is t years old can be modeled by V(t)= 14,345(0.84).…

A: The value V of a certain automobile that is t years old can be modeled as

Q: The sum n-1 =car (r" - 1) r-1 (~²+¹-1) a(r" - 1) r-1 (n-1-1) is given by the closed form formula

A: The given series is

Q: Find P (ANB) and P (AUB). (a) P(An B) = (b) P(AUB) = X

A: Given that the expression

Q: nitial value = 51, decreasing at a rate of 0.41% A) f(t) = 0.41 0.49t C) f(t) = 51 1.0041t per week…

A: As per our guidelines, we can solve the first question. Please repost the remaining questions.

Q: True or False? h(t)<h(t+5) True or False? h(t)<h(5t)

A: The question is asking us to compare the value of a function h(t) at two different points, t and…

Q: Explain what happens to the base function that went from   a(x) = x^2    d(x) = (x-2)^2

A: The objective of the question is to understand the transformation of the base function a(x) = x^2…

Q: Let an - n-1 for integers n ≥ 1. Evaluate 1 an. Write the answer in fraction form n+1

A:

Q: ) Given the matrix t = A = 9 t find all values of t that make det(A) = 0. Give your answers in…

A: Given the matrix To find all values of  that make .

Q: A party rental company has chairs and tables for rent. The total cost to rent 6 chairs and 2 tables…

A: Let cost of each chair be $x.and cost of each table be  $y.

Q: Amanda, Juan, and Trey served a total of 68 orders Monday at the school cafeteria. Amanda served 7…

A:

Q: Suppose that V = R³ and x is the following. [2] 25 If X = 1 {[:] [ is an ordered basis for V, find…

A:

Q: Find an equation of the ellipse that has center (0, -4), a major axis of length 10, and endpoint of…

A:

Q: Find all real zeros of the function. h(x) = 3(x² +25)(x −16) (x + 2)² If there is more than one…

A:

Q: Use a system of equations to find the equation of the parabola that contains the three given points:…

A:

Q: If your car gets 22 miles per​ gallon, how much does it cost to drive 380 miles when…

A:

Q: What is the ones digit in the number 2^2044 ? Hint : Start with smaller exponents to find a pattern.

A: The objective of this question is to find the ones digit in the number 2^2044. To do this, we need…

Q: Solve the system of equations using Cramer's Rule if it is applicable. { 5x - y = 6 x + 2y = 10…

A:

Q: Suppose u = (1, 3) and v =(-1, 6) are vectors in R2. Determine 2u, -v, and u + 2v. (Simplify your…

A:

Q: Which of the following options shows the complex number in polar form? O j-1 O 1/180° 01/0 0 14 2

A: Given complex number  is The polar form of complex number is

Q: Find the volume of the figure. The volume of the figure is (Round to the nearest whole number as…

A: