A bird species in danger of extinction has a population that is decreasing exponentially (A=Apekt). Five years ago the population was at 1800 and today only 1000 of the birds are alive. Once the population drops below 300, the situation will be irreversible. How many years from now will this happen? The population will drop below 300 birds approximately years from now. (Do not round until the final answer. Then round to the nearest whole number as needed.) C

Q: To get the best results from caridiovascular exercise, you can use the formula R = 0.81 (220 - A),…

A:

Q: 12 Given the function f(x) = 4x³ + 3x6 + x¹2²+I There are at most at most Question Help: Video…

A: A polynomial of degree n  There are at most n x-intercepts and atmost (n-1) turning points

Q: Convert the given exponential function to the form indicated. Round all coefficients to four…

A: f(t) = 7(0.911)t

Q: A tower is on the top of a hill. It is D feet from an observer to a point directly under the tower…

A: A tower is on the top of the hill  It is D feet from the observer to a point directly under the…

Q: 12. Consider the following graph: 5 4 32 1 01 2 -5-4-3-2-10 12 45 it as a point (x, y). (^,y). 42.…

A: Given: The graph: We are required to find: 12c. Value of x when y=-212d. Value of y when x=-2

Q: The annual interest rate on a credit card is 13.99%. If a payment of $200.00 is made each month, how…

A: Given: Unpaid balance=$2515.33Annual interest rate=13.99%Payment made in each month=$200 We are…

Q: Which transformation takes the graph of f(x) = 2ª to the graph of g(x) = 2x + 6? The graph is…

A: f(x)=2x  and  g(x)=2x+6

Q: X= y = 10 Max Z = 9 8+ 7 65 y 4 Given the objective function: Maximize Z = 200x + 500y What is the…

A: Solving the following problem

Q: Ian, Asher and Bobby had some balls. Asher had 60% less balls than Ian. Asher had 3/7 Bobby’s. After…

A:

Q: The x-intercept(s) of f is/are -8.1622,-1.8377 The y-intercept of f is 15 2 X x Invalid notation.…

A: we have given function f(x)=x22+5x+152   We need to find the intercepts of the function and than…

Q: 4. Solve for x and graph the solution on the number line below. -72-3x+8 and -3x+8> -19

A: Explanation of the answer is as follows

Q: What is the asymptote of the graph of X f(x) = 4 + 8?

A: Exponential functions have horizontal asymptotes and they occur at infinities.…

Q: Determine a region the area of which is equal to the given limit. The left endpoint of the region…

A:

Q: Evaluate 9 k=1 (6k - 5) (5k + 2)

A: Given the finite series

Q: Here is a triangle. Find cos(A), sin(A), and tan(A). Explain your reasoning. A 6 B 2 C

A: formula used is sinx=perpendicularhypotenuse cosx=basehypotenusetanx=perpendicularbase

Q: Write an equation for the quadratic graphed below -intercepts: (-1,0) and (2,0). y-intercept: (0,1)…

A:

Q: The x intercepts of f and the y intercepts of f bar 4 and 5

A: The roots of the quadratic equation ax2+bx+c=0 is given by x=-b±b2-4ac2a X- intercepts: The point of…

Q: Let u₁ y = If y = a -8- a = b = 2 C = and 12 3 3 as the sum of a vector y in W and a vector z in W¹.…

A:

Q: -97) t (0.2)t (4) t () t 7(0)3

A:

Q: Doctors can use Cowling's Rule to determine the correct dosage of a drug to prescribe to a child:…

A: Doctors can use Cowling's Rule to determine the correct dosage of a drug  to prescribe to a child:…

Q: Which of the following is true? A ○ cos(4) = fo 10 sin(A) = cos(B) sin(B) = 10 = 6 10 6 10 8 10 8 с…

A:

Q: Question 5 Let A = A-¹ a= b= C= d = 1 a = 4 Fill in the blanks below. 2 -1 -5. 1 2 8 -11 7 -3 b-3 4…

A:

Q: The table on the right shows the calories, sodium, and protein in one cup of various kinds of soup.…

A:

Q: Put the equation y = z² +18 +80 into the form y = (x − h)² + k: Answer: y = Question Help: Video…

A:

Q: Given the function f(r) = −7r¹2 +2r7 +²+r There are at most at most x-intercepts, and turning…

A: Given the function fr=-7r12+2r7+r4+r To determine the number of at most x-intercepts and turning…

Q: Find a polynomial function of degree 6 with -1 as a zero of multiplicity 3,0 as a zero of…

A: Given: Root 1, r1=-1 and multiplicity, m1 =3 Root 2, r2 =0 and multiplicity, m2 =2 Root 3, r3 =1 and…

Q: A video store manager observes that the number of videos sold seems to vary inversely as the price…

A:

Q: A community center sells a total of 301 tickets for a bas collect $493 in ticket sales. Find the…

A: Total number of ticket sold = 301 Cost of adult ticket = $3 Student ticket cost = $1 Total money…

Q: nt = P(₁ + 1)^² and A Pet to solve the problem given. Round answers to the nearest cent. Use the…

A: As per the guidelines we are supposed to solve only the first 3 subparts only. Please upload other…

Q: Find The general solution (3ycosx +4x2 + 2x² PEEEEE g.np dyb 2x²x) dx + (3 Sinx + 3) dy

A:

Q: The function f(x) = log₂x is transformed 4 units down and vertically compressed by a factor of 0.2…

A:

Q: Prove by Contradiction that √3+√4 < √11.

A:

Q: having a party and wants to fill his swimming pool. If he only uses his hose, it takes 4 hours more…

A:

Q: You spin the spinner and flip a coin. Find the of the event. probability compound G A CO The…

A:

Q: The height y (in feet) of a ball thrown by a child is 1 2 y = +21+5 14 where is the horizontal…

A: Consider the given height function. y=-114x2+2x+5

Q: If you buy a computer directly from the manufacturer for $2,327 and agree to repay it in 48 equal…

A:

Q: A woman decides to invest $3000 in an IRA CD at the end of each year for 10 years. If she makes…

A:

Q: A tool rental store charges a flat fee of nine dollars to rent a drill press and 3.50 for each day,…

A:

Q: To start a new business Beth deposits $2500 at the end of each period in an account that pays 6%,…

A:

Q: Suppose that $80,000 is invested at 6% interest. Find the amount of money in the account after 3…

A:

Q: How to find the characteristic polynomial of T: P3(R) → P3(R) defined by T(p) = xp' – 4p

A: To find the characteristic polynomial for the given linear transformation.

Q: Solve for x. x=log(750) Round the answer to the nearest thousandth.

A: x=log(750)

Q: Consider the function f(x)=√x-3 +9 for the domain [3, ∞). Find f¹(x), where f is the inverse of f.…

A:

Q: Problem 3. Solve the boundary-value problem y" + 5y +6y=sin z, y(1) = 0, y(2) = 0.

A: Given that , y''+5y'+6y=sinx , y1=0 , y2=0 Solve the boundary value problem.

Q: The total cost, in dollars, to produce bins of cat food is given by C(x) = 11x +8532. The revenue…

A: The cost function is  C(x)=11x+8532 and the revenue function is  R(x)=-2x2+381x where x is the…

Q: How much trim is needed to surround two circular gardens that each have a diameter of 13 feet? Use…

A:

Q: Augmented Matrix In Exercises 13,14 find the solution set of the system of linear equations…

A:

Q: raph the function. Plot all necessary oints on each side. k(x)=(3x^(2)-8x-3)/(x^(2)+1)

A:

Q: Look at the diagram. 3 2 4 1 5 Identify each angle that is adjacent to angle 4.

A: Given: We are required to find: Angles adjacent to angle 4

Q: Find the equation of the quadratic function g whose graph is shown below. 10. (-5,7) 8 (-2,-2) -2 2…

A: