3. A circular pool with a radius of 6 feet has a border with a width of 1 foot. a. ) What is the area of the circular pool?| 6ft 1ft b.) What is the area of the border?

Q: Let - 4 -: d²y * - 5y = 0, suppose the solution has the form y = e1x . dx2 dx Find the Characteristi...

A:   The auxiliary equation has the form y=eλx   We know that y"=λ2eλx  [eλx  ≠0]   y'=λeλx  [eλx ≠0] y...

Q: Determine the value(s) of k such that the system of linear equations has the indicated number of sol...

A: Let's find. 

Q: 7). 3/4x = 9 8).11/12x = 11 9). 8/10t = 80 %3D

A: Question number 7,Given,            34x=9To find : Solve by multiplying by the inverse of the fracti...

Q: Write a quadratic function h whose zeros are 5 and -3. h (x) = [] %3D

A:  

Q: Suppose that a certain radioactive substance has a halflife of 22 years. If there are presently 6855...

A:

Q: What is the range of the blue dotted line function in the graph

A: what  is the range of Blue dotted line in the graph?   Range: range is set of y values of respective...

Q: A table of values of a linear function is shown below. Find the output when the Input is n. Type you...

A: The output values are:6, 5, 4Assume that 6, 5, 4,.... is a series whose position represents the inpu...

Q: he average cost function is defined in economics as C¯(x)=C(x)x, where C is the cost of manufacturin...

A: Given:  C(x)=0.01x3−0.4x2+13x+400,

Q: Find each product. 2) (4p - 8)(2p² - 7p+ 1)

A:

Q: Find sin 4.x cos 8x dx.

A:

Q: by cofactors to find the determinant of the matrix. 5 4 0 3 0 0 -4

A:

Q: One antifreeze solution is 26% alcohol and another is 11% alcohol. How much of each mixture should b...

A: topic - Linear equation in one variable

Q: 25=2x-3

A: solving for x 25=2x-3

Q: The driving distance from Toronto to Ottawa is 450 km. It is 200 km from Ottawa to Kingston and 270 ...

A:

Q: Use a calculator. Round to the nearest tenth. Find tan−1(0.6745).

A:

Q: Finding the zeros of a quadratic function is the same as solving the quadratic equation. O True O Fa...

A: Solution is given below:

Q: Find a matrix K such that AKB = C given that 1 4 66 40 -60 3 A -2 3 33 8 -12 1 -2 -24 -8 12 i K = II...

A: Given A=14-231-2 , B=30002-3, C=6640-60338-12-24-812Given,AKB=CTherefore K must be order 2x2Let K=ab...

Q: Kayla invested $88,000 in an account paying an interest rate of 8% compounded daily. Sadie invested ...

A:

Q: Find the determinant of the matrix. 2 5 1

A:

Q: on st patricks day a local bakery sell horseshoe cookies , mint chocolate chip cupcakes and shramroc...

A: horseshoe cookies , mint chocolate chip cupcakes shramrock  total 24 dozen = 24*12 =288 lets assume ...

Q: 35 30 25 20 15 10 5+ 10 20 30 40 50 60 70 Enter the equation of the line in the form y = mx Where m ...

A: Here we are given equation of line for which we only need to fin slope of the line.

Q: Assuming that all matrices are n X n and invertible, solve for D. CAB" DAC" B = CA". OD = A-'B"CB-'(...

A: This question is related to matrix.

Q: How many integer solutions of r1 + T2 + x3 + x4 = 28 are there with 1. 0< r; < 12? 2. –10 < r; < 20?...

A:

Q: Rational ExpC Write each expre 1) (N) =X

A:

Q: solve -  f(x+k) = 1 – 1/(X + 2)²

A: Given that fx+k=1-1x+22Solve it

Q: Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow to...

A: We have to use the concept of arithmetic progression

Q: Use back-substitution to solve the system. (Enter your answers as a comma-separated list. If there i...

A: The given system,-x+y-z=05y+z=315z=0

Q: Solve the following system of equations. x+2y 10 -x-5y = -19

A: x+2y=10 → (1)-x-5y=-19 → (2)adding⇒ (1)+ (2) x+2y-x-5y=10-19-3y=-9y=3

Q: solve the given equation below: xy'=4y

A:

Q: Cosider the quadratic function y = - 2x. The vertex is the point | The equation of the line of symme...

A: solution:-y=-x2-2xdydx=-2x-2at vertexdydx=0-2x-2=0x=2-2=-1y=--12-2-1=1the vertex point is -1, 1

Q: Find the determinant of the triangular matrix. 5 6 -3 0 0 0 0 0 0 0 7 7 5 0 -1

A:

Q: The music you hear when listening to a magnetic cassette tape is the result of the magnetic tape pas...

A:

Q: 4. 21 - 4q + 42r - 16 = 5. 19st - 6s +t = 6. 107 + 107x - x =

A: Topic:- algebra

Q: Find the determinant of the elementary matrix. 0 0 1 0 10 100

A: We have to find the determinant of the elementary matrix  001010100.

Q: 1. Php 40,000 due in 2 years at 3% compounded monthly

A:

Q: Which of the following 3 x 3 matrices are in row-echelon form? Note: Mark all of your choices. O [1 ...

A:

Q: Determine an equation for the pictured graph. Write your answer in factored form and assume the lead...

A: Given query is to find the equation of the graph.

Q: Ms. Silva earns 19$ per hour. She earns 20,710$ this year. How many hours deos ma. Silva work this y...

A:

Q: Without graphing what is the vertex of the quadratic function 2x^2-8x+8

A: Topic = Functions

Q: What is the value of log to the base of 1000³? A. 9.9 In a triangle ABC, find side e if angle C = 10...

A: Question 1,Given,            log to the nase of 100033.To find : The value of log.

Q: 3. 'Assume B, C, D, E are all bases for R2. If Pa-e-(). Pao- (7). Pe= (). 1 3 PB-E PD-C = %3D %3D 3 ...

A: Answer: The solution is as given below:

Q: Use the given information to find A. 7 A-1 4 NOTE: Write the elements of the matrix exactly. ? ? A ?

A:

Q: A circle has a diameter of 4 cm. what is the area of the circle

A: Circle

Q: Simply: (2x-5)3

A: Here we will find (2x-5)3

Q: Simplify by taking roots of the numerator and the denominator. Assume that all expressions under rad...

A:

Q: Solve the matrix equation for a, b, c, and d. 1 2|| a b -3 3 4 c d 9 -14 [: :]- b

A: We have to find required Matrix

Q: Solve the following linear system by Gauss elimination. -2b + 4c = 8 4a + 12b – 12c = -8 %3D 12a + 3...

A: To solve the following linear system by Gauss elimination -2b+4c=84a+12b-12c=-812a+34b-32c=-15If the...

Q: Find, if possible, AB and BA. (If not possible, enter IMPOSSIBLE in any single cell.) 1 6 1 2 3 -1 1...

A:

Q: 13). 1/2t + 3 = 28 14). 1/6r = 12 15). 11/12b = 32

A: Here we have to solve the following by multiplying by the inverse of the fractional coefficient. 13)...

Q: Find the determinant of the matrix. 2 3 4 1

A: We have give 2×2 matrix and we have to find its determinant.