A sample of a newly discovered element, West Virginium, has a half-life of 170 years. How long will it take for a 776 mg sample to decay to 620.8 mg? Number years (round to one decimal place)

Q: The ratio of the 8th and 3rd term of a GP is 243. What is the common ratio of the progression?

A: Given, The ratio of the 8th and 3rd term of a GP is 243.

Q: Calculate the probabilities of the country being in each state of the economy. (3) b) Using the…

A: State of economy Odds of state occurring Return in state Recession 20% 8% Normal Growth 33% 14%…

Q: xp 2х - у dt

A:

Q: 2. and as= Determine ifb=-1 =-2 is a linear combination ofaL az

A: Follow the procedure given below.

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Q: Which type of triangle is shown below? 十 O Scalene O Obtuse O Equilateral O Isosceles

A: We can answer the question as below.

Q: 9.2 19 18.4 20.6 23

A:

Q: Given ag = –15552, a1 = -2, and the sequence is geometric, complete the following to find the first…

A: We have to find the first 5 terms.

Q: I000 -2 -1 -3 0 10000 0100 - 12 1 3. A= 4 3 01000 RREF (A) = RREF (A") =0 010 - 16 2 6. 0 01 30 000…

A:

Q: 22. Determine the exact value of V2 + V8 +2 V2+ V8 – 2 (1+ v3) 23. Find the integer which is…

A: To find the exact value of the given expression in 22 and to find the integer closest to given…

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A: Radius of the sprinkler is equal to half the diameter

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A: here we have to find the equation of the parabola and a circle.

Q: Since k > 10, <k – 2 < By inductive hypothesis, P(k – 2) is true. Further, k + 1 = + Hence, P(k + 1)…

A: We have to fill in the blanks.

Q: y = -

A:

Q: Find the missing terms in the geometric sequence: .., 4, [ Select | Select | , 500, .. .

A: nth term of a geometric sequence is given by,  Tn= ar(n-1), where a is the first term, r is the…

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A: The given differential equation is y''=1+y'2 ......................................... (1)

Q: 23456 2 345 6 ad 3 = 1 4 26 42 () Campute Boa. O Demie (30)".

A:

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A: Given query is to find the equation of the graph.

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A: We have to find the horizontal asymptote of the given function.

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A:

Q: what is 1 hour to 72 minutes in simplest form

A: what is 1 hour to 72 minutes in simplest form

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A: We need to find exponential function and decay rate.

Q: Find the range of the function x + 1 f : R → R,f(x) = 2х — 3

A: the range of a function is defined for y for which  y=f-1(x) Here f(x)=(x+1)/(2x-3) y=f-1(x) =&gt;…

Q: a + 2g b + 2h с + 2il 40. |3d + 2g Зе + 2h 3f + 2і h

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A: Given query is to find the the average cost function and cost function

Q: dx

A: Derivating the RHS will give the answer

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A:

Q: Find all solutions to the equation below V-x - 2= x + 2

A: Given  -x-2 =x+2   We will square both sides and make this a quadratic equation. Squaring both sides…

Q: 4. Compare and contrast f(x) and g(x). g(x) ={-x - 3, when r< -2 (x+ 1, when x2-2 f(x) = |x + 2| + 1

A:

Q: Problem Set B 2 x +x-5 (1) Find lim 3 x→> 1-2x-x

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Q: Expand the determinant 2 3 4 A = 1 5 3 by Rule of Sarrus. 3 0 5

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Q: Using the linear combination method, find the solution to this system of equations. Be sure to show…

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Q: Use induction to prove: for any integer n > 1,4 evenly divides 9"

A: for any integer n≥1, 4 evenly divides 9n-1

Q: Let T : R³ + R³ be a linear transformation whose standard matrix is -2 4 A = 4 -4 -2 -2 12 Find a…

A: T:R3→R3 be a linear transformationA=-20443-4-2-21T(v)=12-102

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A: We have to write the trignometry substitution we have to use

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Q: 1) Use the matrix approach to solve the following system of equations x + 2y = 4 За — 7у — —1. Yes,…

A: Firstly , we write the given system of equation in augmented form and after that we apply row…

Q: 15 yd 17 yd 18 yd

A:

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Q: se. The nails come in small boxes and e boxes. Each small box has 100 nails each large box has 350…

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Q: Four students will be randomly selected from the six top students in mathematics to represent their…

A: answer is in step 2

Q: 1. 12x* – 8x 2. 51ax – 68bx + 85cx

A: We can find the factorization is the following steps.

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Q: Bethany needs to borrow $12,000. She can borrow the money at 6.5% simple interest for 4 yr or she…

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Q: A radioactive element has a half-life of 136 yea What is its continuous rate of decay? Number %…

A: Decay constant =ln 2t12t12 =136 yearsDecay constant =ln 2136                            =0.51%

Q: Use induction to prove: for any integer n > 1,3 evenly divides n' + 2n.

A: