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Consider two vectors a and b with elements a1,a2,a3 and b1,b2,b3 respectivley. Express the projection of b onto a in terms of these elements. Then do the same for the projection of a onto the axis of b.
What is the discriminant? When do you use quadratic formula to solve a quadratic equation? What square root property is essential to solve any radical equation involving square root?
Gina wants to invest a total of $30000 into two savings accounts, one paying 6% per year and the other paying 9% per year (more riskier) in interest.
Use radical notation to rewrite the expression.1/2 (small 1/2 just above and to the right of 16)16 =16 1/2 (small 1/2 just above and to the right of 16) =
Find the distance from the building to the base of the ladder
Suppose K is a Galois extension of F of degree p^n for some prime p and some n >= 1. Show that there are Galois extensions of F contained in K of degree p and p^(n-1).
Rings are an important algebraic structure, and modular arithmetic has that structure - State each step of your proof and provide written justification for each step of your proof
Change the base.
A person weighing 180 pounds wearing a shoe with a heel width of 2 inches exerts a pressure of 90 psi. Write a model of the variation. What is the pressure (in psi) of a 120 pound person wearing shoes with a width of 0.5 inches?
Sam founda number of nickles and dimes, and quarters in his room. he found thre more dimes than nickles but twice as many quartes as dimes. The total value of coins was $5.05, how many coins of each type did Sam find?
During a marathon, Kim our champion cyclist is having struggles. At the halfway checkpoint she is behind the leader, Allison by 10 miles. Kim still has a lot of energy left and pacing herself at a constant 15 miles per hour.
complex numbers are what you get when you add real and imaginary numbers. what is an imaginary number? how are they
Solve the equation and rationalize the denominator.
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