Solve the system 2x − 6y = -9, - −3x + 9y = 12.

Q: A function is given. f(z) = 1 5z²; z = -2, z = 0 (a) Determine the net change between the given…

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Q: → 4. Use the sine and cosine law to add the vectors a = 12 N [E 12° S] → and b= 80.0 N S 20° E

A: We need to find resultant vector using SIne and cosine rule.

Q: Determine the rank and nullity of the matrix. 4 2 5 −1 32 2 3 6 10 3 1 7 6 5 7 -2 -2 1 5 LANTL co…

A: The rank of the Matrix is 3. The nullity of the Matrix is 1.Explanation:

Q: 2-3 b₁ and b = -6 9 b₂ describe the set of all b for which Ax=b does have a solution. Let A = Show…

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Q: 9. Write (1) * as a power of 4 a. 43x b. C. d. -3x 1³x 4 1 1-3x 3 10. Simplify completely √√√√¹2 a.…

A: We have to Write  as a power of 4and Simply  .

Q: 5. What happens to the graph of y = ax² + bx + c when: (note that parts A-E involve more than one…

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Q: B-A Required information NOTE: This is a multi-part question. Once an answer is submitted, you will…

A: The given sets are:A: The set of students who live within one mile of school.B: The set of students…

Q: Let A = {H, T}, B = {1, 2, 3, 4, 5, 6}, and C = n(A x A x C) T {red, green, blue}. Find the number…

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Q: Consider the parabola y=ax^2+bx+c, where a, b, and c are constants. (a) Determine the vertex form…

A: (a) Vertex Form of the Parabola:The vertex form of the parabola  is:where (h, k) is the vertex of…

Q: Architecture      The modern philosophy of "out with the old, in with the new" has been used and…

A: The objective of the question is to understand how the given sentence from the passage contributes…

Q: Let 1 A = 0 2 Find a pair of vectors u, v in R4 whose span is the kernel of A. U= 1 0 1 0 -2 -1 0 1…

A: The Solution is done.Explanation:Approach to solving the question: Detailed explanation: Examples:…

Q: 2. Solve the system for all values of the parameter a x + 2y = 1 2x + (a²-5)y=a-1

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Q: Let A, B be two 2 x 2 matrices. Which of the following is true. (a) If A² = 0, then A = 0, where 0…

A: A,B are two 2x2 matricesA2=0⇒A.A=0Multiplying both sides by A−1, we get⇒AAA−1=0A−1⇒IA=0⇒A=0

Q: A thermometer is taken from a room where the temperature is 25°C to the outdoors, where the…

A: Ts=-9°CT(1)=13°C

Q: 1) Show that the real matrix [[0 1 1], [1 0 3], [4 -3 8]] is invertible and determine the inverse…

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Q: The distance between the centers of two adjacent atoms in a solid with a simple cubic lattice is…

A: The distance between the centers of two adjacent atoms in a solid with a simple cubic lattice is…

Q: Using Desmos, answer the foll f(x) = -2x+31 +2 a) Write the domain of the graph in set notation. If…

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Q: OPolynomial function O Not a polynomial function If so, write the polynomial function in standard…

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Q: Solve this maths problem : A natural number less than 100 has remainder 2 when divided by 3,…

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Q: The dot product of two vectors can be written in the form s+ 18 t. x1 x2 in R" is defined by * ·ý =…

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Q: 4. Bob used He used 13213 of his money to buy 4 similar caps and 5 similar pairs of shorts. of the…

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Q: [Formal Proof] Let x in Z. Prove that 7x + 3 is even if and only if 3x - 4 is odd.

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Q: 5. Let R be a ring and I, J ideals of R. Is IUJ always an ideal of R? Either prove that this is the…

A: The objective of the question is to determine whether the union of two ideals I and J of a ring R is…

Q: Consider the following. HINT [See Examples 1-3.] A sequence of two different digits is randomly…

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Q: Simplify: √64xy8z5 a4 8yza Vxz 2y² za 4xz 8yz²a²√xz ○ 8y¹z²a² √z

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Q: Use the model s == 281² +v0t+so with g=32 ft/sec² or g = 9.8 m/sec² As of 2011, the highest vertical…

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Q: Draw an appropriate tree diagram, and use the multiplication principle to calculate the…

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Q: Can someone please help me with this question?

A: The objective of this question is to find all real numbers 'k' for which the given matrix B is not…

Q: 2. Use the graph to determine whether the degree of the polynomial is even or odd and whether the…

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Q: Scotiabank approved a $250,000 line of credit for Buhler Industries at prime + 1%. It requires only…

A: The objective of the question is to calculate the total interest charged to Buhler Industries on…

Q: Architecture      The modern philosophy of "out with the old, in with the new" has been used and…

A: The objective of the question is to understand how the given sentence from the passage contributes…

Q: Complete the following probability distribution table and then calculate the stated probabilities.…

A: As per our guidelines, we are supposed to answer only one question  with a maximum of three subparts…

Q: The function c (x) = 72 x (1.04)^x models the cost in dollars, c, of 1 ounce of a certain chemical…

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Q: A post-operative patient has an order for 1L over 10 hours. How many milliliters per hour should the…

A: The objective of this question is to determine the rate at which a medical pump should be programmed…

Q: f'(x)=

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Q: The graph shows the depth of water W in a reservoir over a one-year period as a function of the…

A: Given: To Find: To find the average rate of chnage of W between .

Q: Using Desmos, answer the following questions about this function: ƒ(x) = 3 |x + 3| − 1 a) Write the…

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Q: Convert the augmented matrix || -4 5 11 5 0 3 4 to the equivalent linear system. Use x1 and x2 to…

A: The objective of the question is to convert the given augmented matrix into an equivalent linear…

Q: Alice works a 37 1/2 hour week at $10.72 an hour. Overtime hours are paid at 1 1/2 times the regular…

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Q: Calculate the following limits, or explain why they diverge to ∞, to -∞, or otherwise. n³ n∞ (2n +…

A: We need to find limit of the given function.

Q: Bill deposited $8100 with his credit union in an account paying 6% compounded semi annually. Find…

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Q: ! Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be…

A: The given set is .The aim is to find the .Note:Since you have posted multiple questions, we will…

Q: a person earned $20.16 interst during the year, at 3% interest how much money did this person have…

A: The objective of this question is to find out the initial amount of money the person had at the…

Q: Use the Factor Theorem to determine if the binomials given are factors of f(x). Use the binomials…

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

Q: The actual expenditure for the construction of a local highway was 130% of the budgeted amount. If…

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Q: Simplify the following to mixed radical form. a. 2√6-3 b. 4√6-6 c. 4√6-3 d. 16√3 – 3 4√24-6 2

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Q: Suppose that the cost C (in dollars) of removing p percent of the particulate pollution from the…

A: Since you have posted a question with multiple subparts we will provide the solution only to the…

Q: Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the…

A: The objective of this question is to calculate the number of people who would have died from AIDS in…

Q: 4, 12, 36, 108,... FInd the common ratio, the explicit formula, and the term named in the problem

A: The objective of the question is to identify the common ratio of the given geometric sequence,…

Q: 8. Solve the following exponential equations. a) 8*-1 = 2*+2 n-8 b) 11" - 5 = 54

A: The expression are  and For the first expressions simplifying for solving