The half-life of radium is 1690 years. If 30 grams are present now, how much will be present in 570 years? grams (Do not round until the final answer. Then round to the nearest thousandth as needed.)

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A: Please see the below picture for detailed solution.

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A: we have a given trignometric equation and find theetha

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A: Explained below

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Q: Complete the equation. 20 x 25 x Stuck? Use a hint. X 2 27

A: Solve using associative property of multiplication

Q: What is the average of f(x)=2 cos (x) + 2 e between x=-3 and x=2 12- 10- -3 -1 00 8 6 2- 0 T 1 X 2

A: Q

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Q: 7. For the sinusoidal function given below, find: -120° 3- 7⁰ A 20° 240° 0

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Q: use dimensional analysis to convert the given unit to the unit indicated. Where necessary, round…

A: The given dimension,  40,000 ft3

Q: 12. Which of the following numbers will NOT satisfy the inequality x² <x? O 2/3 O 1/5 O 2 O 1/2

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Q: Write two different expressions for the number of darkly colored small squares. Each expression…

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Q: Ahmed borrows $10,000 from Al- Rasheed Bank on June 1 and must repay a total of $11,400 exactly 2…

A: Solution of given question is written in below steps.

Q: Line 1 passes through the point (4, 0) and is perpendicular to the line y - 2x + 3. Line 2 passes…

A: (a) To find the equation of two lines: (b) To find the point of intersection:

Q: 12. If a bicycle wheel makes 7 rotations a second and has a diameter of 75 cm, what cosine function…

A: The bicycle wheel makes 7 rotations a second and has a diameter of 75cm. Then the period of the…

Q: If f(x) =........, then f(x) is irreducible in Z7[x]. (i) x³ + 2 x² + 2x + 1 3 Option 1 (ii) x² + 3…

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Q: Evaluate. Write your answers as fractions. 3 0 0 JTA X

A: We have to determine the value by simplifying

Q: Question- Mathab wants to buy a car and is offered two payments options (#1) cash payments of…

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Q: (b) Find the point of intersection of these two lines. Show all working and give the exact answer

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Q: g(x) = x3 − 3x2 + x + 5 Write the polynomial as the product of linear factors. g(x) = _____ List…

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Q: QUESTION TWO: SOLVE THE FOLLOWING SECOND ORDER DIFFERENTIAL EQUATION CORRESPOPNDING TO THE MENTIONED…

A: To sove the following second order differential equation corresponding to the mentioned boundary…

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Q: In Pascal's triangle, the term tnr is equal to the sum of tn-1,r-1 and a) tn.r-1 Ob) tnt1,r c).…

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Q: 3) Find the vertex of the parabola f(x) = 4x² + 40x+104. Write in correct (x, y) form.

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Q: Graph the parabola. y=x² + 4x+1 Plot five points on the parabola: the vertex, two points to the left…

A: This question is based on parabola graphing by finding it's vertex

Q: Find all real solutions of the polynomial equation. −4x3 + 8x2 − 2x − 2 = 0

A: On solving this we will get

Q: intervals

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Q: Enter your solutions as integers. Do not use decimals or fractions. Simplify the following…

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Q: A company has been forced to reduce its number of employees. Today the company has 33% fewer…

A: Given : Number of current employees = 335   Percentage of employees less than a year ago = 33%   To…

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Q: 31. Prove parts (a), (c), and (d) of Theorem 3.1.1.

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Q: Suppose you are a recreation director at a summer camp. The water in the camp swimming pool was…

A: This question can be solved using the concept of pipes and cisterns.

Q: 98 (x²+2x²+x+1): (x-2)

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Write a problem from everyday life that involves the addition of a negative number to another…

A: Concept: Negative numbers: The value of all negative numbers is less than zero. Negative numbers are…

Q: The graph of the function f(x) = g(x) = 1 by . A vertical shift Click for List • A horizontal shift…

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Q: Find the eigen values and eigenvectors of the matrix A given as; A=[3 6 -8;   0 0 6;    0 0 2]

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Q: At a sale this week, a desk is being sold for $495. This is a 34% discount from the original price.…

A:

Q: When entering your solutions do not use spaces or parentheses. For example, is entered as - 3/x^3.…

A:

Q: (d) (i) Factorise the quadratic expression x² + 3x - 28. (ii) Use your answer to part (d) (i) to…

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Q: 7. B-A 8. Nx{r Ulr is a consonant in the word statistics}

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Q: 3x + 3y + 12 z -3x+4y+2 z 4x-3y + 2z 0 = 0 = 1

A: To find the system of equations.

Q: Use a graphing utility to approximate (to two decimal places) any relative minima or maxima of the…

A:

Q: 28. Without repeating any digit, how many 4-digit numbers greater than 5000 can be made using the…

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Q: How much was spent on newspaper ads? S billion How much was spent on television ads? $ billion How…

A: Follow the procedure given below.

Q: Find all real solutions of the polynomial equation. (Enter your answers as a comma-separated list.)…

A:

Q: Determine whether the function has an inverse function. X + 1 g(x) = x+1 7 Yes, g does have an…

A: In this question, we want to find the inverse of the given function.

Q: 3-Prove that f(z)=z² analytic

A: Given that f(z)=z2 is analytic.

Q: Find the area bounded by the curves y = x2 and y = x3, Round your answer into 2 decimal places

A: Given problem:- Find the area bounded by the curves y = x2 and y = x3