The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium-100 has been reduced to a mass of 2 mg. What was the initial mass (in mg) of the sample? What is the mass 6 weeks after the start?

Q: Solve the equation. 2(x+5) = 5 - 4(x + 5)

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Q: I did that, factored x^2 + x +6 and got x=-2 and x=3 so the vertical asymptotes should be 2 and -3,…

A: You have done the wrong factorization the factor of x^2 + x +6 is not -2,3 . When we factorize then…

Q: MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use Lagrange multipliers to find the indicated extrema,…

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Q: f(x) = 5x-8

A: we have to slove above question  the function f, construct and simplify the difference quotient.

Q: Given the following functions, find each of the values: f(x)=x²-3x+2 g(x) = x - 1 (f+g)(3) = (f -…

A: Given functionsf( x ) = x2 - 3x + 2 g( x ) = x - 1

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Q: The functions f(a) and g(a) are graphed below. Determine (f+g)(2) Determine (f-g)(-4)= Determine…

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Q: The height y (in feet) of a ball thrown by a child is 1 y = — -x² + 2x + 5 16 where x is the…

A: The function is y=-116x2+2x+5 where y is the height  and x is the horizontal distances. (a) When the…

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Q: 1 Let M be a 3×3 magic square with magic number s. (a) Prove that the sum of M's entries is 3s. (b)…

A: Let n denotes order of the matrix. Magic constant =nn2+12 Sum of numbers in each of the rows,…

Q: The sum of the interior angles of a polygon is 180 degrees. What is its name

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Q: 012 -1 0 1 00 -1

A: Given, 012-10100-1

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Q: Draw on the place value chart to divide. Then record your is started for you. 1. 6.39 3= ones tenths…

A: Ans= 2.13 For detail...go through the solution

Q: Is f(x) If so, √2x+3 find differential at x = 1? f'(1)

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Q: The goal is to complete the two equations using the same two numbers.  x^2+6x+8 (also using box…

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Q: A kiddie pool holds 161 gallons of water. One hose can fill the pool in 3 hours while an- other…

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Q: Question 3 Let u, v be vectors in R³ with ||u|| = 1 = ||v||. If the angle between u and v is 60…

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Q: A polynomial P is given. P(x) = x45x3 + 6x² + 4x - 8 (a) Find all the real zeros of P. (Enter x =…

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Q: Suppose that the functions p and q are defined as follows. p(x) = x² +6 q (x)=√x+9 Find the…

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Q: The fish population in Loon Lake is modelled by the equation P(t) = 2500(0.92)^t where P(t)…

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

Q: 12-day anniversary. If the edge of the dodecagon is 6cm, what the area of the top of the cookie? No…

A: Given: the edge of the dodecagon is 6 cm.Notice the below diagram for better understanding.

Q: A panel containing five on-off switches in a row is to be set. Assuming no restrictions on…

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Q: a) X-5 – 1 y+1_z-4 -2 3 And x-3y-2z+2=0 b) d: [x,y,z]-[4,0,-1]+[2.1.-1] And 6x-4y+8z-16=0

A: To determines, if possible, the point(s) of intersection of each line and each plane defined by the…

Q: 3. Solve the initial value problem x²y" + xy' + y = 0, and y(1) = 1, y'(1) = 2

A: The given differential equation is;  x2y''+xy'+y=0, y(1)=1, y'(1)=2.

Q: T₁ T2 X1 X2 ([₁₂]) = [ X2 4x1 - 5x1 + 2x2 - 2x1 -4x2 (T₁-T₂) ([^^]); O 2 Ex: 42

A: We have  T1x1x2=4x1-5x1+2x2T2x1x2=-2x1-4x2

Q: Find all integers sx such that 2x = 5 (mod 7).

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Q: (y ≥ 3x + 6 (x + y ≤ 4

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Q: V₁ = 2 P₁ = a2= V₂ = Which weights should be used for b = a₁v₁ + a2V2 to obtain the vector b Ex: 42:…

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Q: 1. Find the missing term of each geometric sequence. It could be the geometric mean or its opposite.…

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Q: Mason had 50% more cards than Isaac. Evelyn had 20% fewer cards than Mason. Mason and Isaac gave…

A: Mason had 50% more cards than Isaac. Evelyn had 20% fewer cards than Mason. Mason and Isaac gave…

Q: Use the inverse of the coefficient matrix to solve the system of equations. x+2y+3z = 13 2x+3y + 2z…

A: We know that inverse of A=Adj(A)/det (A)

Q: Rewrite the expression using rational exponents. 5x√ Y 5

A: (1)  V=5xy56we know ab=(a)1b

Q: The radical expression can be rewritten in the 11 7 x rational exponent form x where, xi a = =

A: Given: The radical expression x711

Q: Find the missing terms of each geometric sequence.(Hint: The geometric mean of the first and fifth…

A: We have to find the missing terms of given sequence.

Q: Find the number of distinguishable arrangements of the letters of the word. QUADRILLION There are…

A: The given data is: Find the number of distinguishable arrangements of the letters of the word…

Q: Find an example of a quadratic function in the field of your interest. Draw its picture in the…

A: let's take the quadratic function: f(x) = 2x^2 - 4x + 1 To find the vertex of this function, we can…

Q: Lush Gardens Co. bought a new truck for $54,000. It paid $5,400 of this amount as a down payment and…

A: Given that , Total amount = $54000 Down payment = $5400 Rate = 4.47% compounded semi annually If the…

Q: Which binomial is a factor of 2x³-3x2-98x-48? Select one: a. x+12 O b. x+6 O c. x+16 O d. x+8

A: Given binomial p(x)=2x3-3x2-98x-48

Q: Use the Laplace transform to solve the following initial value problem: y" + 3y = 0 First, using Y…

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Q: -600p^2 +20,000p-125,000 = 0 need to solve for p

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Q: Given the following expression, what is the quotient? 2x3-x²-20x+15 x-3 Use either polynomial long…

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Q: 5 10 O 60.3 degrees O 117.1 degrees 130.5 degrees 80.4 degrees 6 What is the approximate measure of…

A: according to cos law a2=b2+c2-2bccos(A)

Q: A trainer mixed water with an electrolyte solution. The concentration of electrolytes can be modeled…

A: The concentration of electrolyte can be modeled by  f(x)=4x+12

Q: Find the minimum and maximum of the function = 4x - 4y subject to y > yS 4m 3y2 -5 4x + y S 43 What…

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Q: a) y = -5x6 b) y = 6x2 c) f(x) = -7

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Q: Let f(x) = = X x-5 = and g(x) 5 www. X . Find the following functions. Simplify your answers.…

A: f(x)=xx-5g(x)=5x

Q: g sets: •  elements in both Group 1 and Group 2 •  elements in Group 2 but not Group 1 •…

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Q: e best estimate for the percent of americans who is hiv negative.

A: Given: The fraction of hiv positive is given as ==111000.

Q: Find the prouduct of 6.789 and 89 using the standeard algorithm

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