A laboratory test confirms that 9 miligrams of a particular radioactive substance decreases to 7 miligrams in 20 seconds. Determine the half - life of the substance. A 10.25 seconds B. 55.16 seconds 40 seconds 32.27 seconds

Q: 3 Find the following quotient. 15 26 15 – 3i Hint: You inputted 26 a + bi Note: Answer in the form…

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Q: 2. Point A lies on the graph of y = ! = 2**4. %3D

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Q: d. Lim (1-3x)^5/x

A: The answer is - 1/e15

Q: x +4x+4 . For what value(s) of x will each expression be undefined? A) 6 B) -2 C) -2 and 3 D) 2 and…

A: limits

Q: Q3: Prove that, there is no simple greup of order 200.

A: Answer: The solution is as given below:

Q: Operations on Sets Consider the following sets. A = (3, 6, 9, 12, 15, 18) B = (4, 8, 12, 16) C= (3,…

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Q: The value of a brand new car is $16, 000 and the value depreciates 18% every year. Write a function…

A: answer is in next step

Q: x +1

A: We have to find the restricted value

Q: B. Write in Set-builder Notation 4. The set of all positive real numbers 5. The set of rational…

A: Here we have to write in the set builder form.

Q: Vhich of the following is an equivalent exponential expression of log:(x) = ..1 A (-1)'=- в) (3)…

A: Given query is to find equivalent expression.

Q: 9. There is an infinite discontinuity at x = 0 and f(0) = -2 10. There is a jump discontinuity at x…

A: Explanation of the answer is as follows

Q: 6° 6.

A: Given

Q: 6n 10n 8n + 14 4n + 1

A:

Q: Which system of equations is represented by the graph?

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Q: D. Solve as indicated. 1. Insert 4 arithmetic means between 24 and 56. 2. Insert 5 arithmetic means…

A: Answer (1) We have to insert 4 arithmetic means between 24 and 56

Q: Find all values of i (the Greek letter lambda) for which the homogeneous linear system has…

A: Homogeneous system of equation A.X=O has a non trivial solution if A=0

Q: For numbers 18-20 18. Given the function f(x) = cos(5x), 0<x<2n

A: f(x) = cos(5x) differentiation of function f'(x) = -5sin(5x)…

Q: Q27: Define the zero divisor. Is every ring has zero divisors?

A: To define zero divisor and to find whether every ring has zero divisors or not.

Q: The matrix -1 1 07 A = -9 6 1 has three distinct real eigenvalues if and only if < k < ||

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Q: Problem 5 Sketch and label a right triangle ABC with tan(A) = 2. 1

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Q: Determine the absolute minimum value of the function f(x) = x³ – 6x – 1 where xe [-2,3] %3D

A: Explanation of the answer is as follows

Q: Estimate the average rate of change from = 4 to a = 5. Enter your estimate as a decimal number (not…

A: Formula   From the graph f(5) = 7 f(4) = 3.5

Q: く1- VX 1 + V X

A: Explanation of the answer is as follows

Q: 1. What trigonometric ratio can we use to so the distance between the observer and the elevation? a.…

A: 1.

Q: context of the problem. For the KORIK company, the monthly profits obtained by spending x dollars…

A: Given query is to find the x for maximum profit.

Q: Which graph is the right answer

A: Given  Profit function    This is the equation of parabola

Q: ain is moving at a constant speed. The graph below shows the distance-time relationship for the…

A: We will find the equation of the graph.

Q: A weight is supported by cables attached to both ends of a horizontal beam, as shown in the figure.…

A: topic- law of cosines

Q: 6. Determine the equation for the following exponential function in the form of f(x)=ab* + c. Show…

A: Given problem:-

Q: Simplify the following Expression 2+3i /3-4i Enter the answer as reduced fraction, when necessary.

A: 2+3i /3-4i multiply above and below by 3+4i (2+3i)(3+4i)/(3-4i)(3+4i) (6 +8i +9i -12)/(9+16)…

Q: Q28: Define the concept of field. Is (R-{0},+,.) field?

A: Solution: Definition : Concept of field in mathematics is ..set of elements.. where we can do some…

Q: B. Determine the number of subsets of the following sets: 1. C 2. E 3. D

A: Given sets: C= { 3,6,9,12 }E= { 3,9 }D= { 1,2,3 } Definition of Subsets: If a set has x elements,…

Q: Prove that arng Ris Commulative iff Satbj a?+2abt be , VaibER

A: Given : Ring R is commutative iff(a+b)2=a2+2ab+b2

Q: Use the following graph of a function f to determine y to the nearest integer for y = f(4). A f(x)…

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Q: a The line is increasing and passes through the point (0,-10). The slope of the line is less steep…

A: Given  line y = x + 8  compared to y = mx + b slope m = 1   slope of required line &gt; 1 take slope…

Q: B. Find the next term of the following sequence. 6. 2, 6, 10, 14, ... 7. 1, 3, 5, 7, ... 20, 14, 8,…

A: Given :   2,6,10,14.. 1,3,5,7,.. 20,14,8,2,.. 12,32,52,... 36,1,8,0

Q: Suppose lim y(t) = 5, which initial value problem does y satis dy A. = 25y – y", y(0) = 6. dy В. =…

A:

Q: B. Find the next term of the following sequence. 10. 32, 16, 8, 0, ..

A: In given sequence          32 , 16 , 8 , 0 , ...  Here we can see that  1st term  a1 = 32  2nd term…

Q: Jordi is trying to decide if the following table and corresponding graph represent a geometric or…

A: Sequence

Q: (B) Let G be a set of all real numbers except 1. Define on G by a * b = |a|b, where Ja| is the…

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Q: infinite number of solutions, set x3 = t and solve for x1 and x2 in terms of t.) 95 126 %3D 45 1 -…

A: We will find the value of the unknowns.

Q: . Determine f(r)= r3 – or-1 the absolute maximum values of the function where rE l-2 31

A:

Q: Q3. (a) Find the binomial expansion of (1 – x)-1 up to and including the term in x2.

A:

Q: 24) Find the largest eigen value for the matrix 1 2 A= 5 4 with x" (0) =(7/17 1)

A:

Q: 2. In a certain university 2,191 students are enrolled in its College of Arts and Sciences. 980 are…

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Q: f(x) = -3]x • 2| - | F(x) f(x)

A: f(x)=-3|x+2|-1Put x=1f(1)=-3|1+2|-1f(1)=-3|3|-1f(1)=-9-1f(1)=-10Put…

Q: sine Simplify Vi- sin' e tan O O tan O 01 O-1

A: topic - trigonometric ratios

Q: Working alone, Carlos can oil the lanes in a bowling alley in five hours. Jenny can oil the same…

A: Carlos can oil the lanes =5 hourscarlos can oil in 1 hour=15Jenny can oil the lanes =9 hoursJenny…

Q: A school is building a rectangular soccer field that has an area of 6000 square yards. The soccer…

A:

Q: TYPEWRITTEN

A: