A radioactive substance decays in such a way that the amount of mass remaining after t days is given by the function m(t) = 9e-0.017t where m(t) is measured in kilograms. (a) Find the mass at timet = 0. %3D kg (b) How much of the mass remains after 50 days? (Round your answer to one decimal place.) kg

Q: Solve by substitution:  2x + y = 23x + 7y = 14

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Q: For Exercise, solve the equation. 2 3 15

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Q: The area of a rectangle is  99 yd2 , and the length of the rectangle is  7 yd  more than twice t...

A: It is given that area of the rectangle is 99 sq yd and its length is 7 yd more than twice the width.

Q: Simplify the expression. 4i2−6i−7i2 +3i+4

A: Given,  

Q: A bank teller cashed a check for S200 using twenty dollar bills and ten dollarbills. In all, twelve ...

A: Assume the number of twenty dollar bills =x The number of ten dollar bills= y

Q: What are the coordinates at the minimum point of f(x)= x2-4x+3?

A: f(x)= x2-4x+3 is a parabola with a positive lead coefficient so it will have a minimum at the vertex...

Q: Solve :  − 2w + 2x + 2y − 2z = − 10w + x + y + z = − 53w + 2x + 2y + 4z = − 11w + 3x − 2y + 2z = − 6

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Q: factor  10y2-11y-6

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Q: What is the vertex of the parabola      y=(x-1)2-9?

A: Given the equation of parabola

Q: Solve by substitution: 3x + y = 92x + 8y = − 16

A: From 3x+y=9 we get y=-3x+9   Plug this into the other equation and solve for x

Q: 4. Which of the following are polar coordinates of a point on the graph of r cos 0 ? (1.5) (os%5) (A...

A:

Q: If f(x)=x2-1 and g(x)=x-1, find the value of (f/g)(x).

A: We can write (f/g)(x) as:  

Q: Explain why the value 5 is not a solution to the equation 5 +=:

A: If we plug x=5 in the given equation then we get:

Q: Factor the common factor out of the given expression:  28b + 14b2 + 35b3 +7b5

A:

Q: For Exercise, solve for the indicated variable. 2a + 2b? – 2c² for a >0

A:

Q: You deposit $5000 in an account earning 8% interest compounded continuously. How much will you have ...

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Q: Simplify:  (8n2+4n + 6)(6n2− 5n +6)

A: We distribute the second term with the first term.  

Q: Simplify:  (4b3+ 7b2− 3)+ (8+ 5b2 + b3)

A: We distribute the positive sign

Q: Factorize:  4x2 + 13xy +3y2

A: Given,

Q: Factor the common factor out of given expression:        21p6 + 30p2+27

A: Common factor of 21,30 and 27 is =3  The last term does not have p in it So we can not factor out p ...

Q: For Exercise, solve the equation. x + 3 :- 4 + 2 = 5х х

A: LCM of the denominators is =5x So to get rid of the fractions we multiply both sides by 5x.  

Q: What is the domain of the function    f(x)= x+5/x2+2x-8 ?  ?

A: f(x)= x+5/x2+2x-8 is a rational function.  If the denominator is 0 then the function will be undefin...

Q: Factor by grouping:  4uv + 14u2+ 12v + 42u

A: GCF of first two terms is 2u. We factor out 2u from first two terms  GCF of last two terms is 6. Fac...

Q: enter 1·1.1.1-1•l"lTT eause t shift ctri 550 CHAPTER 12 Roots and Radicals Section 12-2 Find the squ...

A: If a number under radical has power 2 , then we take that number out with power 1 , .

Q: Simplify: (7b3− 4b + 4b4) − (8b3 − 4b2+2b4 − 8b)

A: To simplify the given expression.  

Q: Simplify:  (6x − 5x4− 4x2) − (2x − 7x2− 4x4 − 8) − (8 − 6x2− 4x4)

A: Distribute the negative signs  

Q: Approximate e –1 to 4 decimal places. Approximate e3.19 to 4 decimal places.

A: We will use a calculator to find the value of e^-1 Answer: 0.3679  

Q: (A) 23 (B) 24 (C) 25 (D) 28 (E) 2l6 zan 40. The population of Summertown varies according 3) to the ...

A:

Q: Find the center of the circle given by the equation: x2 +y2 −6x+18y=−65

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Q: Factor by grouping method:  35x3− 28x2− 20x + 16

A:

Q: Which statement about graphs and their inverse is true?A They are symmetric about y=xB They are symm...

A:

Q: Solve by substitution:  6x − 4y = − 8y = − 6x + 2

A:

Q: The sum of the ages of Kristen and Ben is 32. Four years ago Kristen wastwice as old as Ben. How old...

A:

Q: I am in Fundamental Mathematics 3. ½ + ⅘ = is the problem. Thank you

A: Given sum is 

Q: What are the x-intercepts of the equation? y=x2 −9/x2 −16

A:

Q: You are choosing between two different cell phone plans. The first plan charges a rate of 21 cents p...

A: Let t be the number of minutes of talking.

Q: I am in Fundamental Math 3.  ¾ + -½=  is the problem. Thank you

A: Given,  

Q: Factorize:  4x2 + 9xy +2y2

A: Given,  

Q: Find the product:   (7u2 + 8uv − 6v2)(6u2 +4uv + 3v2)

A: Given expression

Q: For Exercise, simplify the expression. Do not rationalize the denominato 2rV2r – 3 + x² :(2) /2х — 3

A:

Q: Solve:  7a3(2a4)3

A:

Q: Simplify the expression. 12 – 4V5

A: Given,

Q: Solve:  x − y + 2z = 0x − 2y + 3z = − 12x − 2y + z = − 3

A:

Q: Two cars are traveling north along a highway. The first drives at 40 mph, and the second, which leav...

A: Let the second car will take x hours to catch the first car.    We will use the formula :  Distance ...

Q: For Exercise, identify the statement as an expression or as an equation. Then simplify the expressio...

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Q: For Exercise, write an English sentence to represent the algebraic statement. 2 a. b. TE Q

A: (a) 

Q: Simplify: √-6(√-4-√3)

A: Given expression

Q: Solve:            2x3y5z · 5xy2z3

A: The given expression is

Q: Simplify : (n − 5n4 +7) +(n2− 7n4− n)

A: Given expression

Q: For Exercise, determine whether the statement is true or false. a.- EN 3 b. E W ez C. 3 d. E Q

A: N implies Natural number.  Natural numbers are  0,1,2,3,4,... So "a" is not true.    W implies whole...