A graphic artist is designing a poster that consists of a rectangular print with a uniform border. The print is to be twice as tall as it is wide, and the border is 3 inches wide. If the area of the poster is to be 680 square inches, find the demensions of the print. The foot of an extension ladder is 9 feet from the base
1.) Divide: 5x^2y^5z67+8xyz/2x^3yz^2 2.) Solve by completing the square: x^2 +12x = 3 3.) Solve using the quadratic formula: 3t^2 - 9t = 4 4.) Solve by the factoring method: 21p^2 - 36p = 9
1.)The ratio of strawberry ice cream lovers to vanilla is 9 to 5. If there are 144 more strawberry ice cream lovers than vanilla, how many of each are there? 2.) Find the LCD and convert each rational expression into an equivalent rational expression with the LCD as the denominator: 4/15xy^2, 3x/6y 3.) Simplify and writ
How to solve for the variable "X" The following problems have tripped me up. I can't seem to figure out how to solve them. I've tried, several times, and had my algebra teacher explain them, but I still can't get the answers. 3x - 11 = 6 2x - 7 = 3 + x 3 + 3x = 9 + 2x 3x - 3
Does the ring Z (integer) contain any ideals that are prime but not maximal? If so, give an example. If not, give a proof.
For your information, Theorem 29.3 (Kronecker's Theorem): Let F be a field and let f(x) be a non-constant polynomial in F[x]. Then there exists an extention field E of F and an alpha in E such that f(alpha) = 0 Theorem 29.18: Let E be a simple extension F(alpha) of a field F, and let alpha be algebraic over F. Let
Suppose X and Y are continuous random variable, X and Y are independent and that x>0 and y>0. The pdf of X is Fx(X) and the pdf of Y is Fy(Y). Find the expressions for the density function of Z in terms of fx and fy, if... a) Z=X/Y b) Z=XY
I am trying to find a polynomial that represents the area if the square has a side length of 1.732x + 1.414 meters.
Perform the indicated operation: (5ab^2/6a^2b^3)/(10a/21b)
Factorize: 10a^2 - 27ab + 5ab^2
Solve the inequality. Also state and graph the solution set. y^2 + 3y < 18
Factorize: 2a^3 - 6a^2 - 108a
Simplify: 3/xy - 1/3y divided by 1/6x - 3/5y
Find the quotient and remainder x^3 - 9x^2 + 3x - 6 divided by x + 1
1. Consider approximating integrals of the form I ( f ) = ∫ √x f(x)dx in which f(x) has several continuous derivatives on [0, 1] a. Find a formula ∫ √x f(x)dx ≈ w1 f(x1) ≡ I1( f ) which is exact if f(x) is any linear polynomial. b. To find a formula
If the variables in an equation were reversed, what would happen to the graph of the equation? For example, how would the graph of y = x² relate to the graph of x = y²? When might such a reversal of variables be useful in the real world? How does x=y relate to y=x? How about 2x = y and 2y=x? What about x^2 + y^2 = 49
From this we can see that we have function that whose graph is a parabola and we want the values of w that make the function positive. The parabola opens downward, the vertex is at Let me show you an actual example of inequalities. Several years ago I was the chairman of the banquet committee for our ski club. Since one of ou
1. Jeff rode his bike 45 miles to get to the park, and his co-worker Chris rode his bike 70 miles to meet Jeff at the park. Chris averaged 5 mph more than Jeff, and his trip took one-half hour longer than Jeff. How fast was each traveling? 2. Mike found a good deal on some golf clubs at an online auction site. The clubs were
Solve: 1/5 (x-15) + 1/9 (x+9)= x+7
Prove that 2(2^n-1) = (n+1)/1 + ... + (n+1)/n for every natural number n.
Can you please verify (numerically) the numbers listed on the document, I had to come up with total number of deaths in the US for the following years and diseases. The numbers I came up with are on the document along with a graph for each. Please add the numbers for 2005. 1985, 1990, 1995 and 2000 Heart Disease Cancer
It is an explanation of a theorem in radius of convergence of power series. ∞ ∞ Theorem:- ∑ anzn is a power series and ∑ nanzn - 1 is the power series obtained n=0 n=0 by differentiating the first series term by term. Then the derived series has the same radius of convergence as the original series.
Complex Variable Radius of Convergence of the Power Series
Please see attachment for complete questions (for the below "..." indicates equation to be found in attachment). Thanks! (a) Write down the Fourier (sine) series solution u(x,t) of the wave equation ... on the interval ... satisfying the boundary conditions ... and the initial conditions ... (b) Use the identity ... to sh
Bob scored 68 runs from 102 balls and Brent scored 45 runs from 67 balls. Did Bob or Brent have a faster scoring rate?
On a farm the ratio of sheep to cattle to goats is 8:3:1. How many cattle does the farmer own if there are 720 head of livestock, sheep, cattle and goats, altogether?
-5 + 6 3√m = 4 + 3 3√m
Make p the subject of this equation 2p - 3t/5 = k
I need a step-by-step way to complete these problems: A= P+Prt ; for P Ax+ By=C; for y A= P(1+rt); for r A= 1/2(B+b); for B D= C-s ----- for C n