The volume V of a right circular cylinder of height h and radius r is V = r²h. If the height is four times the radius, express the volume V as a function of r. V(r) = (Type an exact answer, using as needed.) ...

Q: Using the given graph of the function f, find the following. (a) the intercepts, if any (b) its…

A: Given graph of function f

Q: For two n x n invertible matrices A and B, suppose that A + B is also invertible. Is it always true…

A: Given statement For two  invertible matrices A and B, suppose that A+B is also invertible.Is it…

Q: Answer the questions about the following function. x+2 f(x) = x-5 a) is the point on the graph of f?…

A:

Q: Question 16 of 20 View Policies Current Attempt in Progress Write the expression below as an…

A:

Q: 5) h(x) = (x + 1)³-3 7) f(x)=√x-1+1 f(x) =(x-2)³ 6) g(x) = x + 4 8) f(x) = -x-2 10) f(x) = - 3 x + 3…

A: To find inverse of given functions

Q: Ned took a test with 28 questions. He lost 3 points for each of the 7 questions he got wrong and…

A:

Q: Find the vertex of the parabola by applying the vertex formula. g(x) = 3x²-24x+81

A:

Q: Certain radioactive material decays in such a way that the mass remaining after t years is given by…

A: The mass of radioactive materials remaining after is given bywhere  is measured in grams.(a) The…

Q: Submit Question M M #

A:

Q: State the domain and range for the following relation. Then determine whether the relation…

A: In this question, we will find the domain and the range.

Q: We are standing on the top of a 48 feet tall building and launch a small object upward. The object's…

A: The objective of the question is to find the highest point that the object reaches. This can be…

Q: Two lines have a slope of 3 and different y-intercepts.  How many solutions will this system have?

A: Two lines have a slope of 3 and different y-intercepts. To determine the number of solutions of…

Q: 2₁ (85,625) = ( )2 = ( 2 = ( 16

A: Note: Due to guidelines, I can solve only the first question.

Q: Determine the discriminant of the quadratic equation below. Use the value of the discriminant to…

A: The given quadratic equation is The standard quadratic equation is The discriminant If then two…

Q: Anna likes jogging, but she noticed she runs much slower when it's cold outside. Normally, she can…

A: We have to find the inequality that represents the time taken by Anna to run.Let us take x= time…

Q: 4. Use the graph of the function g(x) to answer the following questions. (a) Evaluate g(1). -3 -2 -1…

A:

Q: 28 +28

A:

Q: Find a general solution to the given differential equation. y" + 4y' - 32y = 0 A general solution is…

A:

Q: Solve both triangles below, where A-49, c-4.4. C-40". N-49%, and m 3. Round to the nearest tenth. Bm…

A:

Q: Determine whether the graph is that of a function by using the vertical-line test. If it is, use the…

A: A graph of the relation is given.The aim is to determine whether the graph is a function or not.If…

Q: of each func 11) y = (x - 1)² - 4

A: Since you have asked multiple questions in single request so we will be answering only first…

Q: 3 Determine if w= 5 is in Nul A, where A = 1 5-4 7-2-11 4-17 1 5 Is w in Nul A? Select the correct…

A: w=[3      5       1]A= [5 -4 5      7 -2 -11       -1 4 -17]

Q: Find an equation of the hyperbola having foci at (-3, 4) and (7, 4) and vertices at (-1, 4) and (5,…

A: To find an equation of the hyperbola having foci at  and vertices at .

Q: What's the answer to letter "B".  Be more specific please.

A:

Q: )-(n). nswers as needed.) (-12,0) (-6,6) (-4,4) - 8 (-14,-4) 2 A (-2,0) -4 (0,-2) -4 -8 (4.-4)…

A:

Q: Find the inverse function of f. f(x) = 3x + 8 f −1(x) =

A: To find  the inverse function of the following function.

Q: 1 A rectangular page in a text (with width x and length y) has an area of 32 in.², top and bottom…

A:

Q: 3 22) √3645m 10 22)

A:

Q: A train company increases its rail fares by 4% one year and by 6.5% the following year. Find the…

A: A train company increases its rail fares by 4% one year and by 6.5% the following year.

Q: nstruct the graph of the lines, one line going through the points (-3,5) and (0,-1), and the other…

A:

Q: Use the graph of the function f shown to the right to answer parts (a)-(n). (a) Find f(-14) and…

A:

Q: A survey was given asking whether they watch movies at home from Netflix, Redbox, or a video store.…

A:

Q: Use the following roster notations to write in set builder notation, use � as the variable.…

A:

Q: 6. x - 2 cm 2x + 1 cm x + 5 cm Shown above is a right angled triangle. (a) Show that x²-x-14 = 0

A: Consider the triangle

Q: Find an equation of the hyperbola having foci at (2, -2) and (10, −2) and vertices at (5,-2) and (7,…

A:

Q: x² + 21 can be written in the form of f(x) g(x) x²+4 + (x − 3)(x²+4) - x-3 The possible anwsers for…

A:

Q: function f(x) = ⇒) f(1) =) f(x + 1) 6x + 5 3x - 4 (c) f(-1) (g) f(7x) pe an integer or a simplified…

A:

Q: Maximize subject to he maximum is P = P = x + 2y 3y ≤ 12 3y = 3 x≥ 0, y 20 2x + -x + at (x, y) =

A:

Q: If P(A) = 0.3, P(B) = 0.3, and P(A and B) = = P(A or B) = X 0.2, find P(A or B).

A: we have probability of P(A)= 0.3 and P(B)=0.3 and P(A and B)=0.2

Q: Find a conjugate of the expression and the product of the expression with the conjugate. NOTE…

A:

Q: Giving a test to a group of students, the grades and gender are summarized below Male Female A B C…

A: Total number of students in the class = 13+4+12+3+17+19 = 68total number of students who got a 'B'…

Q: Perform the indicated operation and state for which values the final expression is undefined (if…

A: 14. x2+10x+24x2+13x+36⋅x2+9xx2+13x+42

Q: The partial fraction decomposition of where f(x)= g(x) = h(x) = x² + 2 x³ + 2x² can be written in…

A: To find the partial fraction decomposition of .

Q: Find the indicated function values for the function g(x) = 7x + 5. 5 0.9(- a. g(0) a. g(0)= b. g(3)…

A:

Q: Provide the proper response. 24) True or false? √√√4 +√√√16 =√√√4 + 16

A:

Q: A thermometer reading 9°C is brought into a room with a constant temperature of 37°C. If the…

A:

Q: 5. nts Let 0 k 3 1 -2 2 4 3 1 Find the values of k where A is not invertible. A =

A: A=[0 k 3    1 -2 2    4 3 1]

Q: Use the method of this section to solve the linear programming problem. Maximize P = x - 2y + z…

A: Step 1: We can convert the inequalities to equalities by adding slack variables. Let's add s1 to the…

Q: Tutorial Exercise Find the critical numbers of the function. y-2 y2-2y +4 9(y) = Part 1 of 3 y-2 For…

A:

Q: Find an equation of a line perpendicular to �=-2�-4 that contains the point (3,1)

A: The objective of this question is to find the equation of a line that is perpendicular to the given…