Exercises 57-64: Simplify the powers of i. 57. * 58. * 59. 60. 1 61. 12 62. jl03 63. 17 64. 0

Q: Spencer is a plumber, and his coworker Nolan is an electrician. Spencer charges customers a fee of $...

A: Spencer charges customers a fee of $46 just to come to their houses and then $3 per minute that he i...

Q: Find the vertices, the foci, and the equations of the asymptotes of the hyperbola. Sketch its graph,...

A: Given :                The equation has the form                           x21 - y224 = 1           ...

Q: State whether each of the following pairs of sets are equal, equivalent, both, or neither. 16. {a, e...

A: (16).            a,e,i,o,u , 3,7,11,15,19 Since n(A) = n(B) = 5, then A and B are equivalent.  A and...

Q: Find the sum, exists of the infinite geometric series that is related to the infinite geometric sequ...

A: To find the sum

Q: The graph of f and g are given. Find a formula for the function g.

A: Given graph of function f and g are: To find the formula for function g. Solution: We have fx=x2. F...

Q: Write an equation to find the nth term of each sequence. Then find a9 16. 6, -18, 54,...

A:

Q: graph each parabola. y = x2 + 3

A: Given: y=x2+3

Q: .In the given equation,, find all zeros of the given polynomial 9x3 + 27x2+ 8x - 20

A: Given p(x)=9x3+27x2+8x-20 When x=-2, p(-2)=9(-2)3+27(-2)2+8(-2)-20          =9(-8)+27(4)-16-20      ...

Q: Find the amount that results from each investment. $400 invested at 7% compounded continuously after...

A: It is given that, P=$400r=7%=0.07t=3 years

Q: My first question is find the domain of the following rational function  h(x)= x + 3 over xsquare - ...

A:

Q: If f(x) = loga x, show that f(AB) = f(A) + f(B).

A: given: fx=logax we have to show that f(AB) = f(A) + f(B)

Q: Exercises 85-88: Find the standard equation of the circle. 85. 86. 1234 -2 87. 88. 3 2. 77 777

A: 85). Given the graph of a circle is: To find the standard equation of circle. Solution: From the gr...

Q: kawla invests 3000 tl in an bussiness earning 4.5% profit rate which is compounded annually. how muc...

A: Explanation below

Q: - Speed of a Car Let the distance in feet that a car travels in 1 seconds be given by d(1) = 8r² for...

A: Given: d(t)=8t2 (a) Find d(t+h). d(t+h)=8(t+h)2 =8(t2+h2+2th)=8t2+8h2+16th Therefore, d(t+h)=8t2+8...

Q: Give the explict formula for the sequence find the common ratio and the 8th term. 1. an=2 x 3 n-1 2....

A: According to guidelines we should have been able to solve only first three sub part of the given que...

Q: graph each equation. y = 4x2 - 16x + 19

A: A parabola with equation of the form y=a(x-h)2+k has vertex at (h,k). If a>0 then the parabola op...

Q: A graph of a function f is given. Does f have an inverse? If so, find f -1(0) and f -1(4).

A: A graph

Q: What is the slope of all lines that are parallel to the line 7x - 2y = 9?

A:

Q: There are 3 ways to get from Town A to Town B, 4 ways to get from Town B to Town C, and another 5 wa...

A: There are 3 ways to get from Town A to Town B. 4 ways to get from Town B to Town C. and another 5 wa...

Q: Show that each of the following polynomials is irreducible over the field of rational numbers.  3 - ...

A: Given, 3-27x2+2x5 The objective is to show that the polynomial fx=3-27x2+2x5 is irreducible over the...

Q: The price p, in dollars, of a certain product and the quantity x sold obey the demand equationp = - ...

A: Given price function - P = -x4+100Let's solve for x - x4 = 100-Px = 4100-Px = 400-4P                ...

Q: A graph of a function f is given below. Grapg f(x - 2) and f(x) + 2.

A: Given : Graph of a function f :  

Q: Suppose the graph of f is given. Describe how the graph of each function can be obtained from the gr...

A: Different type of transformations that can be performed on a given graph of a function, f(x), are as...

Q: Find an equation for the hyperbola that has its center at the origin and satisfies the given conditi...

A: Consider the provided information, The x intercepts is ±5 and asymptotes y=±2x. Find an equation for...

Q: No cursive  need to be neat and able to see it clear  thank you  need help

A:

Q: 1-5 1 The function f graphed below is defined by a polyno- mial expression of degree 4. Use the grap...

A: We know, The solution of the equation f(x)=0 are the x-intercepts of the graph of f. The solution of...

Q: Let n be a positive integer. Prove that if n2 is even, so is n.

A: We have,  n be a positive integer and an even number. Therefore, n=2k; k∈ℝ  

Q: Suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write the logarithm in terms of ...

A: It is given that ln 2 = a and ln 3 = b

Q: 1-5 1 The function f graphed below is defined by a polyno- mial expression of degree 4. Use the grap...

A: A graph

Q: Explain why the logarithm of a negative number is undefined in the real numbers.   Please answer in ...

A:

Q: True or False If f and g are inverse functions, then the domain of f is the same as the range of g.

A: If the statement is true or false.

Q: Brian invests $11,500, at 6% interest, compounded semiannually for 2 years. Manually calculate the c...

A: Given problem is : Brian invests $11,500, at 6% interest, compounded semiannually for 2 years. Manua...

Q: .One of the zeros is given for each of the following polynomials. Find the other zeros in the field ...

A: x4+x3+2x2+x+1; -i is a zero

Q: Write an equation to find the nth term of each sequence. Then find a9 14. -2, 10, -50,...

A:

Q: In Problems 45–56, find the vertical, horizontal, and oblique asymptotes, if any, of each rational f...

A: Since you have posted multiple questions, as per our policy we will answer first question. Please re...

Q: Describe the translation in f(x)= 2*² +5 as it relates to the parent function f(x)=2^

A: Given,          The translation in fx=2x-2+5 as it relates to the parent function fx=2x.

Q: Solve the logarithmic equation. Express irrational solutions in exact form and as a decimal rounded ...

A: 2 log6x+2=3 log6 2+log6 4 To Find:  To express irrational solutions in exact form and as a decimal r...

Q: Critical Thinking Use the table for f(x) to make tables for g(x) and h(x). (a) g(x) = f(x = 2) + 3 (...

A: Given that x -4 -2 0 2 4 fx 1 3 6 8 9 (a) Add 2 in each entry of first row and add 3 in each...

Q: . Area of a Balloon A spherical weather balloon is being inflated. The radius of the balloon is incr...

A: A sphere has the surface area equal to 4πr2 where r is the radius of the sphere. The sphere is incre...

Q: Use the techniques of shifting, compressing or stretching, and reflections to graph f(x) = - I x + 2...

A: Given: fx=-x+2+3 Rules: f(x)+a  shifts graph a unit upward f(x)-a shifts graph a unit downward f(x+a...

Q: In the picture:)

A: a)  We know that area of circle =π r2 where r is radius of the circle. The required area =π(r12-r22)...

Q: The equation governing the amount of current I (in amperes) after time t (in seconds) in a simple RL...

A: I=ER1-e-RLt Put E=12,  R=10,  L=5  &  I=0.5, we get ⇒0.5=12101-e-105t⇒1-e-2t=512⇒e-2t=712⇒-2t=ln...

Q: Eleri mows grass in her neighborhood. She charges $35 per yardoffers a discount to repeat customers,...

A: Let x denote the yard and y denotes her repetitive turn.

Q: Use transformations to graph each function. Determine the domain, range, and horizontal asymptote of...

A: Write the definition of the domain, range, and asymptote. A set is said to be the domain of the fun...

Q: 50. Minimum of a Sixth-Degree Polynomial Find the minimum value of the function f(x) = 2 + 16x³ + 4x...

A: To find: The minimum value of  the function f(x)=2+16x3+4x6

Q: Find the vertices, the foci, and the equations of the asymptotes of the hyperbola. Sketch its graph,...

A: Consider the provided equation, y2-4x2=16 Find the vertices, the foci, and the equations of the asym...

Q: How would you convince someone that y = (x + 3)2 is the basic parabola moved 3 units to the left but...

A: we have to tell how would we convince someone that y = (x + 3)2 is the basic parabola moved 3 units ...

Q: The number N of bacteria present in a culture at time t (in hours) obeys the model N(t) = 1000e0.01t...

A: Given: The number of bacteria in a culture at time t is given as: Nt=1000e0.01t (a) To determine the...

Q: At what x-coordinate would a line whose equation is y=2x-3 intersect a perpendicular line whose y-in...

A: To find the x-coordinate of the line which intersects  the line y=2x-3 perpendicular   

Q: Find the domain of the function. f(x) = 3 - 2 log4 (x/2 - 5)

A: Given function is: f(x) = 3 - 2 log4 (x/2 - 5) We have to find the domain of this function.