A wooden artifact from an ancient tomb contains 20 percent of the carbon-14 that is present in living trees. How long ago, to the nearest year, was the artifact made? (The half-life of carbon-14 is 5730 years.) years. > Next Question

Q: For the probability density function, over the given interval, find E(x), E(x2), the mean, the…

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Q: 18. Choose the correct answer. Use the values of the vertex and point to choose the correct…

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Q: Find the converse, inverse, and contraposition from the following implications! 8 1.If the sun does…

A: We have to find converse inverse and contraposition statement.

Q: Diagonalize -2 A = 3 -3 -2 2-2 -2 i.e., find an invertible P and diagonal D such that A = PDP-¹,…

A: Solution is given below:

Q: Find -2A-7B and simplify. 3 3 -6 A = 1 2 √5 -2A-7B= +|+ 4 B= -1 3 4 3 9 2|3

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Q: A parabolic arch forms a structure that allows equal vertical loading along its length. 160 ft 100…

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Q: 1. -7 x -6 + (-4)2 /(-22)  2. (-6)2 /9-(5-8) x 4 3. (-2a)3x(3a/5b)2 /(-4a2b) 4. 1-2a/2 + 6a-1/6…

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Q: 5) a₁ = -8, a = -48, n = 6 A) -336 B) -1344 C) -672 D) -168

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Q: Simplify. 16 3 4

A: We need to simplify the following expression 1634

Q: (1.0) Find the value of the integral defined 1 [²(t ; t ² ; e²) dt t;

A: To evaluate: ∫01t; t12;etdt

Q: 1. If the roots of the quadratic function f(x)=x²+2x+1 are to be obtained by paper folding, exactly…

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Q: Erik Allen repairs photocopy machines. According to his schedule, he needs to visit 5 different…

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Q: 2. Translate each of the following phrases into a mathematical expression. Use as few variables as…

A: Translate each phrases into mathematical form

Q: Which of the following vectors are not orthogonal to the vector i = Check all that apply. 3 0 -2…

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Q: Solve the system of equations. If the system has no solution, say that it is inconsistent. Graph the…

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Q: A jewelry store chain with 5 stores in state A, 12 stores in state B, and 11 in state C is planning…

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Q: 4. Convert. 12.85 1 = ml

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Q: plus

A: We will find the function.

Q: Find the intervals on which the function is increasing and the intervals on which the function is…

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Q: Write the standard form of an equation of an ellipse subject to the given conditions. Endpoints of…

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Q: Given the following table with selected values of f (x) and g(x), evaluate f (g(3)). X -4-3 0 3 5 8…

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Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

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Q: Last year, Jenny deposited $3000 into an account that paid 5% interest per year and $7000 into an…

A: answer is in next step

Q: Nobelium-259 is a radioactive substance that decays according to the following function, where yo is…

A: Radioactive substances : radioactive substances are made up of naturally decaying atoms. They are…

Q: 2. (D² - 3D + 2)y=1+x

A: The given differential equation is;  (D2-3D+2)y=1/(1+e-x).

Q: Write your own rational function that has a hole, but does not have a vertical asymptote. Make sure…

A: Given day of birth=28 We know that rational function is of the form p(x)/q(x)

Q: Write the augmented matrix for the system of linear equations. (Do not perform any row operations.)…

A: Given query is to write the matrix for the system of equations.

Q: Each person in a community was asked, "What is your favorite type of pet?" The circle graph below…

A: We have to find the category was chosen by approximately one-eighth of the community, approximately…

Q: The sequence given is defined using a recursion formula. Write the first four terms of the sequence.…

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Q: Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has…

A: Given query is to find the present value of the home.

Q: 10. Lydia will derive the formula for the series Sa+ar+ar+ar+ Omultiply both sides by r add r to…

A: The series is given by S = a+ar+ar2+ar3+···+arn To determine: Lydia's first step to derive the…

Q: If A={x | x is an odd integer}, B={x | x is an even integer}, C={2, 3, 4, 5}, and D={7, 8, 9, 10},…

A: Let, A={x | x is an odd integer}, B={x | x is an even integer}, C={2, 3, 4, 5}, And D={7, 8, 9, 10}.…

Q: Given the following information for the arithmetic series, find the sum of the series, Sg a₁ = 5, ag…

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Q: Four functions are given below. Either the function is defined explicitly, or the entire graph of…

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Q: 8. The region enclosed by the circle with equation + y² = 5 and the +². line x = 1, shown shaded in…

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Q: For the following exercises, use synthetic division to determine whether the first expression is a…

A: The given expression will be factor of polynomial if reminder is zero

Q: If possible, find A + B, A − B, 3A, and 3A − 4B. (If not possible, enter IMPOSSIBLE in any cell of…

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Q: Use the Change of Base Formula to rewrite the logarithm with the common logarithm or the natural…

A: Given query is to find the value of the logarithmic expression.

Q: F = (x + y2)i + 5xуј + z²k A. 3yk В. Зуј с. Зуі D. 3zj E. 3zk F. 3xk G. 3хуј H. None of the above…

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Q: Solve the following system of equations 10x^2+7x-y=15 7x^2-2x-y=3

A: The given system of equation is: 10x2+7x-y=15...(1)7x2-2x-y=3...(2)

Q: Decay Rate as a % Decay Rate as a Decimal Decay Factor 13% 0.13 0.87 0.21 0.06 11% 9% % % % % % 0.84…

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Q: 3. Use the definition of limits of sequence to give a formal proof of lim (√n+1-√n) = 0.

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Q: The first week, a patient engages in various exercies for 4 minutes every hour while awake. For each…

A: Explanation of the answer is as follows

Q: 1) Write the first four terms of the sequence an = n³.

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Q: 2. Simplify the following expression using the change-of-base formula: log₁2 7. Round to the nearest…

A: We can simplify the expression as below using change of base formula.

Q: 口 3 21 -11 11 3√3 3 9√3 √3 8. Choose the correct answer. Multiply the radical expression. (-4+ √5)…

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Q: 1. A bumblebee was released and started to travel along a straight horizontal line. The directed…

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Q: Graph the function. f(x) = -4 - In x O A. Ау Q O B. АУ Oc. Ау С O D. С

A: Explanation of the answer is as follows

Q: Ashley and Dan are planning trips to eight countries this year. There are 12 countries they would…

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Q: 2. Use the elimination 2 -3 2 1 -3 2 131 method to evaluate the following determinant. 2 1 -1 -4 23

A: we have to find determinant.