### How many different types of this shirt are made?

A particular brand of shirt comes in 12 colors, has a male version and a female version, and comes in three sizes for each sex. How many different types of this shirt are made?

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A particular brand of shirt comes in 12 colors, has a male version and a female version, and comes in three sizes for each sex. How many different types of this shirt are made?

Solve each equation and check for extraneous solution. # 41. ----------------- / 2x^2 - 1 = x # 42. ------------------------ / 2x^2 - 3x - 10 = x Solve the equation # 85 ----------------------- / x^2 + 5x = 6 # 91 ----------------------- /

2. Write the following as rational numbers: a) 0.731; (31 barred) b) 12.8697 (8697 barred) Please see the attached file for the fully formatted problems.

Page 313 Solve each equation. # 8 ( a + 6 )( a + 5 ) = 0 # 9 ( 2x + 5 )9 3x - 4 ) = 0 # 12. t^2 + 6t - 27 = 0 # 48 - 2x^2 - 2x + 24 = 0 # 49 11 Z^2 + ---z = -6 2 # 52 3x (2x + 1 ) = 18 Page 364 Solve each equation. Watch for ext

Let be fields, and algebraic over F. show that if and only if for some . ---

Modern Algebra Group Theory (XVI) Abelian Group If the group G has four elements, show it must be abelian.

Let F be an extension field of K of degree 2, then F is the splitting field over K for some polynomial.

There are four integers between 100 and 1000 that equal to there cube added together 153......1+125+27=153 370......27+343+0=370 407......64+0+343=407 What is the fourth?

I do not fully understand how to complete a system of equations that includes logarithms. This was the sample problem given.

Find the region bounded by the graph of the equation. Estimate the area to confirm answer. Show a slice. Calculate the area of the region. y = square root of x-10 and y=0 between x=0 and x=9 y = square root of x and y= x-4 and x = 0

(See attached file for full problem description with equations) --- I need some guidance on a Matlab programming project. The project concerns Hermite polynomial interpolation. We are given values and and their derivatives and at and respectively, and we look for coefficients such that if

(See attached file for full problem description with equations) --- Pg.283 Factor the GCF in each expression 59. 60. Pg. 306 Factor each polynomial completely, if polynomial is prime, say so 35. 40. Pg 338 Perform indicated operation 22.

Modern Algebra Group Theory (VII) To prove that if G is an abelian group, then for all a,b belongs to G and all integers n, (a.b)^n=a^n.b^n.

Alice: "I'm thinking of a polynomial f(x) with non-negative integer coefficients. Can you tell which one?" Bob: "Well, I need some information." Alice: "You can pick any real number r and I'll tell you f(r). Um....that is, I'll tell you finitely many digits of f(r) - but as many as you want." Bob: "Gee - just one value

--- 1. Consider the following market demand and asymmetric cost functions for the airplane production industry. Market Demand is: P=200- (qA + qB) Cost Function for Boeing: C(qB) = 40 qB Cost Function for Airbus: C(qA) = 30 qA a.) Assume that the two act according to the Cournot mo

Classify the indecomposable representations of the quiver A_n with the orientation: o -> o -> o -> ... -> o

Modern Algebra Group Theory (II) Determine whether the system described is a group. G = a_0, a_1, a_2, a_3,...... where a_i.a_j = a_(i + j)

Modern Algebra Group Theory (I) G contains all symbols a^i, i = 0,1,2,......., n - 1 where we insist that a^0 = a^n = e, a^i.a^j = a^(i + j)

Log(2x+3)=log(4x)+2 Solve for x.

1. graph f(x) = + 5x+ 4 be sure to label all the asymptotes and to list the domain the x and y- intercept 2. f(x) = +3, x - sketch the graph and use the graph to determine whether the function is one to one -if the function is one to one find a formula the inverse 3. In ch

If a manufacturer of lighting fixtures has a daily production cost of (x)=800-10x+0.25x^2 where c is the total cost in dollars and x is the number of units produced. - How many fixtures, x, should be produced each day to minimize the cost? - What would it cost, c(x) to produce that many fixtures?

(See attached file for full problem description) --- For the A-matrix: 5x1 + 9x2 + 2x3 = 24 9x1 + 4x2 + x3 = 25 2x1 + x2 + x3 = 11 construct an orthonormal basis with a1 and then a2 and then a3. Next, expand the given vector b in terms of those vectors. ---

For any a, b ! N, show that Q_√a + √bi=Q_√a, √bi. Where N is the set of natural numbers and Q is the set of rational numbers.

SOLVE BY DRAWING THE APPROPRIATE GRAPH AND SHOW WORKING OUT X3-X2-5X+2=0

Find the values of x for any points where the curve 2x^2+xy+3y^2=54 has a vertical tangent. Choices are:A. (18*(square root of 46))/23, B. (18*(square root of 20))/5, C. (5*(square root of 3))/23, D. (16*(SQAURE ROOT OF 23))/25 OR NONE OF THESE. Please show work.

(See attached file for full problem description) --- 2. Page 237, problem 102 Increasing deposits. At the beginning of each year for 5 years, an investor invests in a mutual fund with an average annual return of r. The first year she invest $10; the second year, she invest $20; the third year; she invests $30; the fo

Classsify the indecomposable representations of the following quivers: 1. o -> o <- o 2. o -> o <- o ^ l o

(See attached file for full problem description with proper equations) --- Let p be an odd prime and let be the p-th cyclotomic polynomial. Use the fact that to show that , and so find coefficients such that . Hence show that is irreducible over by using Eisenstein's criterion. ---

Calculate the cost per square inch of pizza of the following: 14" square pizza for $10.99 18" round pizza for $10.99 two 12" round pizzas for $10.99