
Question 1. (a) Suppose that a cubic polynomial x3 + Ax2 + Bx + C factors into (x a)(x b)(x c) where x is a variable and a, b, c are real numbers.

Find the effective rate of the compound interest rate or investment. (Round your answer to two decimal places.)16%compounded monthly. [ Note :
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Prove that Z[x] is not a field where Z[x] is the set of all polynomials with variable x and integer coefficients.

Suppose that z= x^3 y^2 where both x and y are changing with time. At a certain instant when 1 x= and 2 y = , x is decreasing at the rate of 2...
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What will be the maturity value of $5,000 placed in a 180day term deposit paying an interest rate of 2.5%?
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Paul throws a baseball onto the field. The baseball leaves Pauls hand with an initial upward velocity of 15 meters per second.

A water storage tank has the shape of a cylinder with diameter 18 ft. It is mounted so that the circular crosssections are vertical.

Most flat screen TVs today are made with an aspect ratio (ratio of the length to the height) of 16:9. Xenock Electronics' top selling TV is their 28inch model, whose viewing area has a length of 24 i

A camera is mounted at a point 3000ft from the base of a rocket launching pad.

A baseball diamond is a square whose sides are 90 ft long. Suppose that a player running from second base to third base has a speed of 30 ft I sec at...

A poster is to have an area of 240 in2 with 1 inch margins at the bottom and sides and a 7 inch margin at the top. What dimensions will give the

What are PTI's net profits?

A toy rocket is shot vertically into the air from a threefoottall launching pad with an initial velocity of 152 ft per second.
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f(x)=4/x,=/ 0 g(x)=4/x, x=/0 f(g(x))= g(f(x))= f and g are inverses of each other? f and g are not inverses of each other?
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(1) Of those mountain climbers who attempt Mt. McKinley, only 65% reach the summit. In a random sample of 16 mountain climbers who are going to...

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Part II: Revenue (41 points total) 15. A product's price is the amount of money you get from selling one of the item. Revenue is the total amount of...
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The graph shows the amount that Miracle Maid Service charges to clean a house. They charge a flat house visit fee plus an additional cost per room to clean a house. How much is the initial house visit

Jane bought a new rectangular placemat with an area of 126 square inches. The length of the placemat is four times the quantity of nine less than half its width. Complete the equation that models the

There are various methods of solving quadratic equations. * Explain which you think are the easiest and most difficult of the methods, and explain...

Why neither is measuring a table for her dining room the every other table is 40 6 seven 8 ft.² the length of the table is 7 1/2 feet Wanita does not want to purchase a table that is greater than 6 f

David and Josh are both practicing for an upcoming swim tournament. Every week, David swims for 3x hours at an average speed of x laps per hour. Josh swims 5 more hours per week than David, but at an
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The pressure exerted by a certain liquid at a given point varies directly as the depth of the point beneath the surface of the liquid. The pressure...

1 Which choice is the equation of a line that has a yintercept of 7 and is parallel to the line represented by this equation? y = 6x− 5 A. y = 6x+ 7 B. y = 6x− 7 C. D. 2 Which choice could be t

Hampton who is selfemployed, wants to invest $60,000 in a pension plan. One investment offers 7% compounded quarterly. Another offers 6.75%...

A merchant has coffee worth $40 a pound that she wishes to mix with 50 pounds of coffee worth a pound to get a mixture that can be sold for a pound.
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1 Residual standard error:01646 on 13 degrees of freedom Multiple RSquared:4361, Adjusted Rsquared:3494 Fstatistic:027 on 2 and 13 DF, pvalue:
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31. Suppose that there are two forces acting on a sky diver: gravity at 150 pounds down and air resistance at 140 pounds up and 20 pounds to the
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1. A deposit of $5,000 is made into a savings account which earns 3 3/4% interest compounded annually. If no additional deposits or withdrawals are made, which amount is the total balance at the end o

Jenny is ordering 600 mm length aluminum sheets for her company. She finds two different suppliers and orders a box of 40 sheets from each company. She then measures each sheet and creates the dotplot

Show how the value ASCII "MIRIAM" is stored in memory in Big Endian format starting at location 100 hexadecimal. Assume that each memory location...

On a road, a bike sign in the shape of an isosceles trapezoid is to be painted. The sign and its dimensions are shown below. What is the area of the sign?A right trapezoid is shown with height labeled

the graph of a piecewise linear function f, for 1lt;xlt;4. what is the value of integral (1 to 4) F(x) dx?

A bag contains 6 blue marbles,3 green marbles, and 2 yellow marbles. Ava will select a marble from the bag without looking.What is the probability that she will select either a green or a yellow marbl

A:it is better to use the physical compass and straightedge for constructions OR B: it is better to use the technology based compass and straightedge for constructions In the argument essay you will w
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A square and a rectangle have the same perimeter.the square has a side length of 8xunits.the rectangle has a length of 5x+8 and a width of 10 units .what will be the perimeter of both square and recta

What is the purpose of comparison shopping?ensuring you are not buying out of emotionattempting to find the best deal on a productdetermining whether you truly need a productreading reviews to make su
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Which is an example of a categorical data set? (1) the number of touchdowns scored in each football games during the season (2) The average hits per game of all baseball players in a league (3) a lis

Victoria has $200 of her birthday gift money saved at home, and the amount is modeled by the function h(x) = 200.
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Each town he has allows him to create 1.15 times as many villagers.

James has decided to start saving for a cruise over the summer. His money is currently in the local bank, modeled by the function s(x) = 102.

Use method of elimination: 9x + 4y = 8 4x  8y = 16 Janice and Bob are selling donuts for a fundraiser. Customers can by glazed and sprinkled...
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In pointslope form write the line described through:

a. Are the solutions relatively similar in this region near the initial conditions or are they totally different in this region near the initial
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At the farmers' market,Jeanie sells beans.Her scale weighs them in fractions of pounds.Jeanie made a tally chart showing how much each handful of beans weighed.What is the difference between the great
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Find the probability and interpret the results. if convenient, use technology to find the probability. the population mean annual salary for environmental compliance specialists is about $63 com
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How do I solve this question. I am not simply looking for an answer. Thank you! A large children's organization purchases tickets to the circus.

F(x) = x/(1+x^2) find the taylor series at x = 0 of the given function. use suitable operations (differentiation, substitution, etc.) on the taylor series at x = 0 of 1/(1  x). for reference: this se

Here's a problem that occurs in automatic program analysis. for a set of variables x1, . . . , xn, you are given some equality constraints, of the form "xi = xj " and some disequality constraints, of

A random sample of size 25 is taken from a normal population having a mean of 80 and a standard deviation of 5. a second random sample of size 36 is taken from a different normal population having a m