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A computer password consists of 8 characters. How many different passwords are possible, if each character may be any lowercase letter or digit?
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If $20,000 is invested in a savings account offering 3.5% per year, compounded continuously, how fast is the balance growing after 2 years? (Round your answer to the nearest cent.)
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How many combinations does a 4×4 Rubik’s Cube have?
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What is 6 to the 2nd power?
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Neilsen Cookie Company sells its assorted butter cookies in containers that have a net content of 1 lb. The estimated demand for the cookies is 900,000 1-lb containers. The setup cost for each product
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Is x^2 + 4x + 4 a perfect square trinomial?
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The process of multiplying the -2 times everything inside the parentheses is called what?
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Evaluate 5!/3!
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How do you simplify (2n)! / n! ?
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What is the inverse of y = 2x^2 – 8?
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Simplify: (5x)^3
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Is 3a^ 4 a monomial?
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Solve x – 7 = 13
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Write an algebraic expression for eight more than a number divided by 5.
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Form a polynomial whose real zeros and degree are given. Zeros: -1, 0, 6; degree: 3 Type a polynomial with integer coefficients and a leading coefficient of 1.
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Draw a block diagram for the following set of state variable equations x’ = -4x + 6y + 2u(t) , y’ = -2x -3y
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For each sentence below, write an equivalent algebraic equation or inequality. a. The difference of 3 and 5 is less than 8. b. The quotient of x and 3 is greater than or equal to 10. c. -2 times the difference of a number and 6 is 18.
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What is the weekly income for a person who earns an annual salary of $28,500?
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Solve for the value of ‘x’. 2(3x – 7) + 4(3x + 2) = 6(5x + 9) + 3
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Simplify. {8 x^{-4} y^5 z^{-7}} / {4 x^6 y^{-9}} Write your answer using only positive exponents.
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Estimate the value of sum^{infty}_{n = 1} \frac{1}{n^{3}}) to within 0.009 of its exact value. (Round to three decimal places as needed.)
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Classify 5x^5 + 3x^4 – 8x^3 + 12 by number of terms. a) polynomial of 4 terms. b) binomial. c) trinomial. d) polynomial of 5 terms.
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You are building a rectangular brick patio surrounded by crushed stone in a rectangular courtyard. The crushed stone border has a uniform width x (in feet). You have enough money in your budget to purchase patio bricks to cover 140 square feet. Solve the
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Evaluate the expression below, if b = 3 and c = 2. 2bc^2 + (bc)^2.
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What are the factors of a perfect square trinomial?
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Solve 3x^2 – 5x – 2
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A 12 pack of soda is roughly $3.75. What is the cost per can of soda?
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Algebra
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Simplify the following problem using mental math and the distributive property: 8(2,106) a. 8(2,106) = 16,848 b. 8(2,106) = 8(1,053 x 2) x (8(2) = 134,784 c. 8(2,000 + 100 + 6) = 8(2,000) + 100 +6 = 16,000 + 100 + 6 = 16,106 d. 8(2,000 + 100 + 6) = 8(2,00
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How many real solutions does a \quadratic equation have?
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Evaluate the following: (a) 10!, 4!, 5!, 7! (b) 9C5, 11C6, 12C7 (c) 9P5, 11P6, 12P7
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How do you express (1/3)^(-2) with positive exponents?
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Solve the following \quadratic expression by factoring. First write the expression in completely factored form. Then write the real number solutions. -x^{2} – 3x = 0
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Find the derivative: f(x) = x ln x-x
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Express in exponential form: logw 1 = 0.
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Algebra
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During the month of January, ABC Appliances sold 33 microwaves, 18 refrigerators, and 36 stoves, while XYZ Appliances sold 56 microwaves, 29 refrigerators, and 43 stoves. During the month of February, ABC Appliances sold 28 microwaves, 29 refrigerators,
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How to factor trinomials when a is 1?
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Algebra
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If your car gets 28 miles per gallon how much does it cost to drive 300 miles when gas costs $2.60 per gallon?
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Suppose you invest $1500 at an annual interest rate of 5% compounded continuously. How much will you have in the account after 4 years?
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Algebra
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Simplify 2x^2 – 7x + 3
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Algebra
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The total amount of money (in cents) in y quarters, 7y dimes, and (2y – 1) nickels. (Hint: The value of a nickel is 5 cents, the value of a dime is 10 cents, and the value of a quarter is 25 cents.)
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