7. A radioactive material has a half-life of 50 years. a. If you start with 1,000 grams of the radioactive material, exactly how long will it take to reduce to 62.5 grams? b. Determine the decay constant k. Leave your answer in terms of a logarithm. 1s the value of the constant k (you found in point b.) positive or negative? 87 87

Q: 7. Find the inverse function for each of the following: (a) y= log, (x+8)-2

A:

Q: 45. student deposits $1000 in a savings account that pays interest at the rate of 6% per year,…

A: We need to find accumulated amount.

Q: Solve the following equations for x. Answers must be entered in exact form. (a) If log, 4 = 2, then…

A: We have to find the logarithm

Q: (w- 2)² =O

A: Topic:- algebra

Q: find a parametric representation of the solution set of the linear equation: 3x1 + 2x2 - 4x3 = 0

A: We have to write the parametric representation of the following equation.

Q: Determine the Area of the following shape: 7 mm Describe how to find the Area of the figure.…

A:

Q: A coastal community needs to know the sustainable yield of grouper for its upcoming fishing season.…

A: Let's find.

Q: A right triangle is in the first quadrant with a vertex at the origin and the other two vertices on…

A:

Q: 2. Find the Taylor series generated by f(x)= e* at a = 2 49

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

Q: Write the first four terms of the sequence whose general term is given. Separate the terms with a…

A: Solution is done in step 2

Q: 3. Select the best description for the domain of the function shown. 4x3 f(x) = %3D 2x2+x-1 A. All…

A: Given: f(x)=4x32x2+x-1             2x2+x-1≠0 since it is the denominator.      2x2+2x-x-1≠0…

Q: Find the equation of the parabola with the given focus and directrix. Focus (4, - 2), directrix y =…

A:

Q: When a plane flies with the wind, it can travel 1440 miles in 3 hours. when the plane flies in the…

A: When a plane flies with the wind, it can travel 1440 miles in 3 hours. when the plane flies in the…

Q: A candy distributor needs to mix a 40% fat-content chocolate with a 60% fat-content chocolate to…

A:

Q: Y2 Y1 X2 - X, HA

A:

Q: The sum of the first “ n “ terms of the series is 2n + 3 + x. Find the seventh term.

A: This is a problem related to series and sum calculation. Based on the general formula of nth term…

Q: Find ihe area of each figure. When you get your answer, find i in ihe answer choices al tto the…

A: As per the instruction, we will be answering only the first question. For (1), Given: \ From the…

Q: 3. Use the definition of limits of sequence to give a formal proof of lim (Vn+1- yn) = 0. n00

A:

Q: If y varies directly as x and y = 0.5 when x = 6, find the constant of variation k and then…

A: y ∝ xy = kxgiven that;x=6, y=0.5y=kx0.5=6kk=0.56k=112 =0.0833when x=10,y=1012=56=0.833

Q: Use the Factor Theorem to determine whether x-c is a factor of f(x). 14) f(x) = x3 + 2x2. 6x + 8;…

A:

Q: Landon invests $3300 in two different accounts. The first account paid 6 %, the second account paid…

A:

Q: 5. Compare and contrast the graphs of sine and cosine using terms like amplitude, period, minimum,…

A:

Q: Suppose you make a single deposit of $8000. Calculate the amount of money you will have in the…

A: Given query is to find the amount after 5 years.

Q: evaluate and give  answer  to an appropriate number of significant figures or decimal places where…

A:

Q: The functionf is one-to-one. Find its inverse. 5 18) f(x) - 4x +3 18) A) x) =5-3x B) flx) = 4x 3x -…

A: We have to find inverse

Q: A rectangular painting has a diagonal measure of 37 inches and an area of 420 square inches. Use…

A:

Q: total return be? Put the number answer only. Round to the hundredths. Type your answer. SUBMIT >…

A:

Q: Given that A and B are n×n matrices such that det(A) = 2 and det(B) = −3, find det(A−1BT) ).

A:

Q: t cost John $75.13 when he bought some plywood and bags of concrete. If it costs $6.35 per sheet of…

A: Let x be the cost of a plywood sheet and let y be the cost of a bag of concrete. Given: he bought 6…

Q: D 18. Choose the best estimate for the domain and range of the graph of the polynomial function.…

A: Given ,  We have to tell domain and range of the graph of the polynomial function

Q: THIS Suppose that the total profit in hundreds of dollars trom seling x tems is given by Po=2-4+7.…

A:

Q: A). s = {(3, 4), (–1, 1), (2, 0)} %3D

A:

Q: In the characteristic polynomial (3 – A)(4 – A)³(–3- )(3 – 1), what is the multiplicity of d = -3?

A:

Q: bacteria culture starts with 10001000 bacteria and grows at a rate proportional to its size. After…

A: The solution is given below. Using. Concepts of compounding we will do it.

Q: State if the scenario involves a permutation or a combination. Then find the number of…

A:

Q: How many y-intercepts does the exponential function f(x) = 1/2(5)x have?   am i correct that it…

A:

Q: A new savings account is opened with $400 and gains 3% every year. What is the exponential function?…

A:

Q: A farmer finds the mean mass for a random sample of 200 eggs laid by his hens to be 57.2 grams. If…

A:

Q: Show 3. Showing Linear Dependence that the set is linearly dependent by finding a nontriviai linear…

A:

Q: The formula A=Pe" describes the accumulated value, A, of a sum of money, P, the principal, after t…

A:

Q: C. Logarithmic on one side log, x+ log, (x– 3) = 2 | 6.

A:

Q: Inflation causes things to cost more, and for our money to buy less (hence your grandparents saying…

A: Inflation causes things to cost more, and for our money to buy less (hence your grandparents saying…

Q: The length of a rectangular driveway is five feet more than three times the width. The area of the…

A:

Q: In the characteristic polynomial (3 - A)(4 – 1)³( – 3 – )(3 – 1), what is the multiplicity of A = 4?

A:

Q: Question

A: Topic: - algebra

Q: airplane travels 3984 kilometers against the wind in 6 hours and 5184 kilometers with the wind in…

A: Given: An airplane travels 3984 kilometers against the wind in 6 hours and 5184 kilometers with the…

Q: -3 -2 -1 1 3 %23 -.1 .1 .3 .5 7 .9 1.1 foine

A:

Q: Use the function to find the image of v and the preimage of w. T(V1, V2, V3) = (v2 - V1, Vị + V2,…

A:

Q: Question zL MU/10 pts The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how…

A:

Q: Solve the following quadratic equations using the quadratic formula. 1.  6x2-19x-7 = 0 2.…

A: