8. PROBLEM SOLVING Your friend has two standard decks of 52 playing cards and asks you to randomly draw one card from each deck. What is the probability that you will draw two spades?

Q: How many determined (basic) variables does each augmented matrix have? a. One b. Two C. Two d. Four…

A: The objective of the question is to determine the number of basic variables in each of the given…

Q: Calculate the future value (in dollars) of $1,150 deposited into an account earning an annual simple…

A: The objective of this question is to calculate the future value of a certain amount of money…

Q: Given the matrix A : A³ || 8 ГО 0 [9] fin -3 find A³.

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Q: Solve x+ 4z +3w = -28. y - 4z - 2w = 22. 3x - 3y +25z +15w = -155. -y +4z+7w = -37. using the Gauss…

A: The objective of this question is to solve the system of equations using the Gauss Jordan…

Q: Question 2 What are the coordinates of the vertex of the quadratic function shown in the graph: A…

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Q: selling an investment that earns 4.835% compounded semiannually. What is the APY (in percent) of the…

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Q: In  ΔABCΔABC,  a=11cm, b=17cm, c=19cma=11cm, b=17cm, c=19cm .The measure of  ∠C∠C is…

A: The objective of the question is to find the measure of angle C in a triangle ABC, given the lengths…

Q: How much should be invested now at 3.85% interest compounded monthly to have $28,000 in 16 years?…

A:

Q: A student scored 66 points on his Psychology 101 midterm. If the average of his midterm and final…

A: A student scored  66 points on his Psychology 101 midterm.  If the average of his midterm and final…

Q: By the Chinese Remainder Theorem, there is a ring isomorphism y: Z/10Z ~ Z/2Z × Z/5Z, (a) Write out…

A: Answer Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Given the graph of a quadratic function below, place the correct inequality un- der the category…

A: The given graph

Q: III O Week 4: Quadratic Equations and Functions Solving a word problem using a quadratic equation…

A: t=1.54 or 0.26 secondsExplanation:Step 1:Step 2:

Q: What is the APY for a savings account with a $260 balance that receives $13 interest for the year?…

A: To calculate the Annual Percentage Yield (APY), we first need to determine the interest rate earned…

Q: Example 4: Solve the system: Y=X² + 3 X² + y² = 9

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Q: Mark the point that represents the amount of medicin left in the body after 8 hours

A: To mark the point that represents the amount of medicine left in the body after 8 hours.

Q: Prove that the roots of X2+(1-K)x+k-3=0 are real for all values of k?

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Q: Data were collected from librarians about their reading habits and job experience. The results were…

A: The objective of the question is to interpret the slope of the model in the context of the problem.…

Q: Question 2-11 The area of a throw rug can be represented by the expression 2x^(2)+5x-12. Which of…

A:

Q: Write the linear system d x(t) = 1x + ly dt d y(t) = -4x+ly as a matrix equation and find the…

A: Refer the below solution for given question, if any doubt please comment Explanation:Solution

Q: 1. Consider (a) ê (c) E M = 135 247 89 a | Compute |M| by unfolding the matrix according to the…

A: The given matrix

Q: Which of the following is a reasonable estimate of the number of characters (typed letters or…

A:

Q: Select the correct texts in the passage. Which three parts of the passage most build an excited…

A: The objective of the question is to identify the three parts of the passage that most contribute to…

Q: Calculate the slope of the line of fit.

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Q: 6. Find the solution. -x-5 + 3 = x

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Q: A couple wants to invest up to $45,000. A Roth IA has a return close to 7% after one year and a CD…

A: The couple should invest $5,000 in the Roth IRA and $40,000 in the CD to maximize their return. The…

Q: Find the equilibrium point for the following supply and demand functions. Demand: p = -69 + 200…

A:

Q: Solve: 3 * 5³+5 * 3/ 3377 378 O 1590 381

A: The given expression

Q: Calculate the remainder after dividing 31079 into 170166719

A: The amount that remains after dividing a number by another is called the residual. The integer that…

Q: 21. Find a and b such that [-1, a, 6] and [b, 8,12] are collinear.

A: Since you have asked multiple questions, we will solve the first question for you.If you want any…

Q: Show that 1+x 1 1 1 1 1-x 1 1 1 1 1+z 1 1 1 1 1 - 2 = x² ₂² = HINT: Use the properties of…

A:

Q: Najabhai

A: The objective of the question is to calculate the value of a European put option in $/£ given the…

Q: excerpt from Adopt a Pet Owning a PetPets are loyal companions and can benefit their owners in a…

A: The objective of the question is to understand how the author has structured the text to convey her…

Q: Determine the two binomial factors for each polynomial listed below.

A:

Q: 11. Write the polynomial of the following graphs with minimal degree. (a) (b) 2 # 2 1 O 1 - 3 4

A: To write polynomial of the following graphs with minimum degree.(a) (b)

Q: solve system N 2 x + (y-2)² = 4 x²-2y = 0

A:

Q: Part 2: Write the quadratic function in vertex form based on th 4. Shifted to the right 4 and 5.…

A:

Q: s(x)=2x-1 t(x) = −2x² +1

A: s(x)=2x−1t(x)=−2x2+1

Q: 7. Directions Choose the correct answer for each row. Let f be the quadratic parent function. Each…

A: Descriptiong(x)=x2−4g(x)=(x+4)2g(x)=(x−4)2g(x)=x2+4Shift 4 units to the right  ✓ Shift 4 units to…

Q: Given the following quadratic function in general form, f(x)=2x² + 4x-1 a) Use the Vertex Formula to…

A:

Q: 3.) XX 3x x+2 >

A: To solve the following inequality.

Q: x2-6x-49=0

A: The objective of the question is to solve the quadratic equation x^2 - 6x - 49 = 0 for x. A…

Q: A, B are sets. Show that (AUB) = An B. Hint: use t proof by containment method.

A: A, B are sets .We need to show

Q: How to find the x intercepts of P(x) = 0.65x^4 - 3.5x^2 - 12?

A: x−intercept:1335+4345​​​ and −1335+4345​​​Thatis,2.786 and −2.786 (Rounded up to 3 decimal places)…

Q: Calculate the future value of $6,000 earning 7% interest compounded quarterly for 5 years. (Round…

A: Principal  : rate :  Time :  years Compounded quarterly

Q: 5. Divide and simplify if possible. 162x14 √₂ 2 2x²

A: Let assume,

Q: Given: Revenue = R(x) = 20x and Total Cost = C(x) = 2x² + 4x + 24 where x = the number of units…

A: Given that the revenue function  and total cost function

Q: it for errors before submitting it. Be sure to explain the steps you use in your response to the que…

A: The objective of the question is to understand the process of finding the composite function…

Q: The displacement vectors A and B shown in the figure below both have magnitudes of 3.21 m. The…

A: Vector A.x-component:y-component:Therefore, Vector B.Vector B has only y-component since it is a…

Q: c) You use your expected exam grade as your reference point. You expect to get a grade of 75 out of…

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Q: In each case below, apply the extended Euclidean algorithm to a, b € Z. Determine d = gcd(a, b), and…

A: Summary:-We can use the extended Euclidean algorithm to solve for the greatest common divisor (gcd)…