The radioactive substance uranium-240 has a half-life of 14 hours. The amount A (t) of a sample of uranium-240 remaining (in grams) after t hours is given by the following exponential function. t (!) 14 A (t)=3200 Find the amount of the sample remaining after 7 hours and after 40 hours. Round your answers to the nearest gram as necessary. Amount after 7 hours: grams Amount after 40 hours: grams

Q: Find the characteristic equations of the following matrices: 401] -210 -201

A:

Q: b) 4) Define the variables a,b and c as: a-5, b=-5, and c-2a+b Evaluate: 6a b abia + Blatblic a)…

A: Concept: First put the value of a, and b in the c to find the value of the c, next By putting the…

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A: I am attaching image so that you understand each and every step.

Q: 1. Evaluate the following limits: 4. limx→ sin(4x-8) ¹x²4x²-5x-6

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Q: Find all zeroes of the polynomial (real and complex) f(x) = 5x¹ + x³ + 11x² + 3x − 12

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A:

Q: Two cars travel to Edmonton at the same time. Car A travels 240 km in the same time it takes Car B…

A: To find out the average speed of the fastest car.

Q: b) Find the value of x that satisfies log(x+3)− log x = log x+log 2.

A: Follow the procedure given below.

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A: Given

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A: We will find the value.

Q: Which of the following are multiplicative inverses? OA7y and -7y OB. 7y 7x TXXX and y c. 7y a and X…

A:

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A: topic- Pythagoras theorem

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

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A: The equation is 4x-7+3=0

Q: Find the product. 8074 3 Ty =.** 5-2

A: Solved below.

Q: Find the coefficient specified in each item. a) a4 in (6−1⁄2a)6

A:

Q: 1 9. y=-x-8 3

A: The objective of the question is graph of given linear equation.

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A:

Q: Q1. a) Solve the set of three simultaneous equations below using the inverse matrix method 3x + y +…

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A:

Q: Given that f(x)=x^2+6x and g(x)=x−9, calculate (a) (f∘g)(x)=    (b) (g∘f)(x)=    (c) (f∘f)(x)=…

A:

Q: The trace of a square matrix A, denoted tr(A), is the sum of the elements on the main diagonal of A.…

A: This question can be solved using the concept of operations of matrices.

Q: Don’t use calculus A&C

A: We have to find the equation of line and intersection points.

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A:

Q: Find the distance between the points (5, -3) and (-7, -3) Distance: X Ś ?

A: Distance between two pints is given by below:

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A:

Q: The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain…

A:

Q: Simplify. State any non-permissible values. x² + 3x +2 3x+6 ÷ x-1 x-1

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Q: Exercise: Three students calculated the volume of a cylinder. Each used a different strategy. 1.…

A:

Q: Evaluate the compound interest formula I=P(1+r/n)nt  using the given values of the  variables.…

A:

Q: Given that tan² O +1 00|m O ± IN 11 8 000 = 100 8S 3 8, what is the value of sec e?

A: I have stated the used formula in the solution.

Q: 3r² + 10x + 7) In (z²+3) dz

A: I am attaching image so that you understand each and every step.

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A: Given query is to find the inverse of the function.

Q: (a) Solve 3* ≥ 27 using logarithms.

A: We have to solve  3x ≥ 27  Using logarithms

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A:

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A:

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A:

Q: Compute the orthogonal projection of 7 = projz (7) = onto the line L through and the origin.

A: The given data is: v→=-69 To compute the orthogonal projection of v→=-69 onto the line L through -76…

Q: A polo shirt and a necktie costs P700. The polo shirt 350 more than the necktie. How much does the…

A: A detailed solution is given below.

Q: 11 12 53 Given v = 6 " 109 12 find the coordinates for v in the subspace W spanned by -1 4 U1 = -4…

A:

Q: The perimeter of a triangle is 39 feet. One side of the triangle is one foot longer than the second…

A: We can find the length of all the three sides as below

Q: Compute the orthogonal projection of 7 = proj,(v) = 4 [1] onto the line L through -4 and the origin.

A: Given:    Data is given

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A: Cardinality of the set is a measure of the number of elements of the set .

Q: Which is equivalent to 50-10-15? A. 50- (-10) + (-15) B. 50+ (-10) - (-15) C. 50+ (-10) + (-15) D.…

A: Given: 50-10-15

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A:

Q: Select each of the following ordered pairs which are on the graph of -3x + 4y = G Select one or…

A: Given the equation -3x+4y=0

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A: Trigonometric expression

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A:

Q: 16. Determine the equation that goes through: (-2,-5) and (4, -2). Use the second point to write the…

A: Determine the question that goes though: (-2, -5) and (4, -2). Use the second point to write the…

Q: Suppose that the functions p and q are defined as follows. p(x)=-x-1 q(x) = x² + 2 Find the…

A: We can answer both the question as below