12. A biologist began an experiment with 30 bacteria cells. After 5 hours, there were 1100 cells. How many bacteria cell would be there in 10 hours?

Q: f (x) = x3+ kx+3 and x+3 is a factor of f(x) then what is the value of k

A: The objective of the question is to find the value of 'k' in the cubic function f(x) = x^3 + kx + 3,…

Q: United Express, a national package delivery service, charges a base price for overnight delivery of…

A: Let B is the base price for 1 pound or less Let x be the surcharge for each additional pound over…

Q: Find the compound amount and the amount of interest earned by the following deposit. $5400 at 3.1%…

A:

Q: If $800 is deposited into an account that pays 6%/a compounded monthly, how many months will it take…

A: The objective of this question is to find out the number of months it will take for an investment of…

Q: 8x+4y=6, -3x-3y=9, The solution is x = , y=

A:

Q: Use the properties of exponents to show that 2 x 3x+1= 6 x 3x

A: The objective of this question is to prove that 2 * 3^(x+1) is equal to 6 * 3^x using the properties…

Q: Given the quadratic expression p(q) = 2 − r² + 4q −4 − 7q+8q² - 10r, identify and state the values…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: 2. (§1.1) Sketch the following set of points in the x-y plane. {(x, y) = R²: (y - x²) (y + x²) < 0}.

A:

Q: 1. Recall that if A and B are invertible matrices, (AB)-¹ = B-¹A¯¹. (a) Give a counterexample to…

A: A and B are invertible matrices

Q: 6. Express in logarithmic form. a) (4)² = 2 1 16 b) 5-3 = 1 125 c) m² = j

A: The given expression

Q: Find the difference quotient ƒ(x) = 3x² − 3x+8 Simplify your answer as much as possible. f(x + h) -…

A:

Q: Inaugural Addressby Nelson Mandela (excerpt) We trust that you will continue to stand by us as we…

A: The objective of the question is to understand the reason behind Nelson Mandela's choice of…

Q: California is one of only four states where you need more than just a majority of voters to approve…

A: The objective of the question is to identify the central idea of the passage. The central idea is…

Q: A Jacuzzi has dimensions of 203 x 236 x 84 cm. How many gallons of water do you need to fill it up…

A:

Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If…

A:

Q: Add the following and express your answer in appropriate scientific notation: (5.1 x 10-47) + (9.1 ×…

A:

Q: For the straight line defined by the points (3, 55) and (5, 87), determine the slope (m) and…

A: (x1, y1) = (3, 55)(x2, y2) = (5, 87)m =?b =?

Q: Tutorial Exercise Factor out the greatest common monomial factor from the polynomial. 30x2 + 20x25…

A: The greatest common monomial factor of a polynomial is the largest term that is present in each term…

Q: Joseph is playing with blocks to create a design. With each step he continues to add blocks. How…

A:

Q: Write an appropriate and interesting subtraction word sum for 723 and 189.solve it

A: To find:write an appropriate and interesting subtraction word sum for 723 and 189.Let's first look…

Q: Given the following demand equation, find the price that will maximize Revenue for this product.…

A: The demand equation p=150-5x

Q: The following table gives the value of an investment, after intervals ranging from 0 to 7 years, of…

A: Invested amount=$ 70,000rate =10%

Q: Jenna has a bank account where the interest is compounded quarterly. The following equation…

A: The given equation is a standard formula for compound interest, which is A = P(1 + r/n)^(nt). In…

Q: If f(x)=−x and g(x)=−x, then f and g have identical graphs.

A: The objective of this question is to determine whether the graphs of the functions f(x) = -x and…

Q: Solve the following absolute value inequality. Write the solution set using interval notation and…

A:

Q: ||| O Week 2: Systems of Linear Equations Graphing a linear inequality in the plane: Slope-intercept…

A: Graph below Explanation:To plot the inequality using the slope and y-intercept, you would start by…

Q: 3. Scientists measure a bacteria population and find that it is 10,000. Five days later, the find…

A: The objective of this question is to find the function that describes the exponential growth of a…

Q: 1. Consider M = 1 23 234 47 a Compute |M| according to the definition of determinant.

A: The given matrix is

Q: 1) S XH3 3 X+5 B 2 x ²78 × 1 15

A: The problem is  Here we have to simplify the equation to find the value of x

Q: Select the correct texts in the passage. Which two details best show how Klaus Shubert’s…

A: The objective of the question is to identify two details from the text that best illustrate how…

Q: x² -1 2x²+x-6 2x − - 3 x² + 3x + 2

A: L=x2−12x−3⋅2x2+x−6x2+3x+2

Q: the number of sstudents enrolled at beach manor preschool during various years is givEN in the table…

A: Let x be the number of years after and y be the number of students enrolled.year…

Q: Given that the value of an investment in x years is given by S = 1900(1.02)4x, we want to find the…

A: Given that the value of an investmentwhere  is in yearshere need to find the amount in yearsthen…

Q: Question 5 Rate ratio and Finance. 5.1 Cape Town is 1200 kilometers from Johannesburg. A, A taxi…

A:

Q: A game is played in which each throw of a ball lands in one of two holes: the closer hole or the…

A: Given that Tia had t throws that each scored  points and ƒ throws that each scored  points. If Tia's…

Q: 1 − (1 + 0.0525) 0.0525 500,000 = P*[¹ *[¹- -30

A:

Q: Find the length X X 6 Im 5π 6 Re

A:

Q: from The Black Man’s Plea for Justiceby Ephraim David Tyler Hear me, statesman, I am pleading to…

A: The objective of the question is to identify the mood of the poem 'The Black Man’s Plea for Justice'…

Q: 4. Suppose that A and B are sets such that AnB = Ø and A UB= U. Use a Venn diagram to show what A n…

A: Ac∩Bc=ϕExplanation:[Note: A Venn diagram can be represented by any closed figure, whether it be a…

Q: Solve the system for a and b: 42=ab6 15=ab9

A: Given,

Q: Find the difference quotient f(x) = -9x+6 Simplify your answer as much as possible. f(x + h) - f (x)…

A:

Q: Choose True or False for each statement by pressing the correct hotspot and then pressing the answer…

A: Given graph of function

Q: Calculate the simple interest due (in dollars) on a 40-day loan of $4,800 if the annual interest…

A: The objective of this question is to calculate the simple interest due on a loan. Simple interest is…

Q: 1. Consider (a) ê (c) E M = 135 247 89 a | Compute |M| by unfolding the matrix according to the…

A: The given matrix

Q: Given the quadratic expression p(q) = identify and state the values for a, b and c. 2-r2+4q-4-7q+8q2…

A: 1. For the given quadratic expression p(q)=2−r2+4q−4−7q+8q2−10r a=8,b=−3,c=−r2−10r−22. b(0)=…

Q: (b) Find the equation of the line containing the points (2,1) and (7,11). y=x+ (Type integers or…

A: The given data is as follows:The points are (2,1) and (7,11).

Q: In each case below, apply the extended Euclidean algorithm to a, b € Z. Determine d = gcd(a, b), and…

A: Summary:-We can use the extended Euclidean algorithm to solve for the greatest common divisor (gcd)…

Q: How, if at all, do the maximum profit and optimal bottling policy change if the company has no…

A: The maximum production of a soft- drink bottling company is 5000 cartons per day.The company…

Q: Number 17 only. Find the average rate of change for the given tables on the given interval

A:

Q: Given: Revenue = R(x) = 20x and Total Cost = C(x) = 2x² + 4x + 24 where x = the number of units…

A: Given that the revenue function  and total cost function