A watering trough for livestock is shaped like the prism below. What is the volume of water in the trough when it is completely full? 3 ft 6 ft 4 ft 8 ft

Q: A small business owner visits her bank to ask for a loan. The owner states that she can repay a loan…

A:

Q: 1 3x²-27 a) Determine the key features of the function: i) domain and range✓✓ 4. Consider the…

A: The given function is:f(x)=13x2-27

Q: 1 . Consider the function. ƒ(x) = 3x2-27 a) Determine the key features of the function: i) domain…

A: Note: as per guidelines we support only three supports of the questions.kindly repost next question…

Q: From November to December of 2015, the price per share of BP Oil dropped from $97.75 to $69.25.…

A: Formation of linear equation

Q: Expand and simplify the expression; (x-3)2 + x2 + 2x

A: expand and simplify the expression   (x-3)2+x2+2x   formula: (a-b)2=a2+b2-2ab

Q: Find the least squares regression quadratic polynomial for the data points. (Let x be the…

A: Quadratic regression :  y= ax2 + bx+ c    where a not equal to zero.   The value of a, b, c are…

Q: Using your graphing calculator fill in the tables and graph the following: f(x)=-.5x² + 3x +4. C.…

A: We can find x and y intercept and domain and range of the given function . After that we draw the…

Q: Benford's Law (discovered by astronomer Simon Newcomb, named for physicist Frank Benford) is an…

A:

Q: Find the value of k for the polynomial g(x) = -4x^2+7x+k so that x+3 is a factor of the polynomial…

A:

Q: 41 -5-4-3 2-1 1 2 3 4 5 x y = 3x - 5/3 5 y=-=x+3 3 5 y=-3x - 1²/2 - 3 5 y = -x +3 3

A: As we know that equation of line passing through the points (a,b) and (c,d) is y-b=d-bc-a(x-a)

Q: 2a 12²0 So 0 0 2ax-x² dydx

A:

Q: Give your solution in simplified radical form. 0=−2(x+3)^2+18 Please help I have no idea how to do…

A:

Q: < You conduct an experiment where you roll a die and record the results. You roll the die 1,230…

A:

Q: Evaluate sec 4/3 x cosec 8/3 x dx.

A: The given integral is sec4/3x cosec8/3x.

Q: Suppose we were describing the distribution of types of bears in an Australian Zoo (brown bears,…

A: Pie charts show a comparison of the part to the whole. Bar charts show a comparison of the part to…

Q: 5. Which of the following is an odd function? a.y=2x³ + x² b. y = 2x¹ + 11 c. y = 2x¹ - x d.y=-x³ +…

A:

Q: Find the derivatives of the following functions. 3at2 i) x= 1+t Bat 1+t y =

A: To find the derivative.

Q: Here is a graph of y=T(w): What does T(110) mean in the context of this situation?  At what value…

A:

Q: Q: Find the equation of the tangent and normal to the following curves at the points indicated…

A:

Q: 4) (2m-16)=(2m + 4) m-16= m+ 4/3 -16 = 2m -28 m= -7 || +3 m 4

A:

Q: 4. y logo.1 x - 2 =

A:

Q: Solve the following congruences. Make sure that the number you enter is 20 and ≤ N-1, where N is the…

A: If gcd(a,n) =1 then the congruence ax=1 (mod n) has unique solution.

Q: Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the…

A:

Q: 7 f(x) = 4x² - 8x + 2 for x € R, 0 < x < k a Express f(x) in the form a (x +6²) + c. b State the…

A:

Q: d+d 10) Find f(-x) when f(x) -X x2+4 B)(C -x2+4 -X x2+4 D)-2

A:

Q: Solve the linear programming problem. Minimize and maximize P = 25x+10y Subject to x+2y z 18 7x+2y ≤…

A:

Q: Let ƒ : R² → R be defined by f((x, y)) = -9x - 5y. Is ƒ a linear transformation? a. f((x₁, y₁) +…

A: A transformation said to be linear if it closed under addition and scaler multiplication.

Q: The number of widgets that a manufacturing plant can produce varies jointly as the number of workers…

A:

Q: buy a Treasury bill (T-bill) that matures to $10,000 in 6 months, you must pay $9760. What annual…

A: Given query is to find interest rate.

Q: juan earns $7 per hour plus $20 per week making picture frames.  write a function g(x) for juan's…

A: Given: Earning per hour = $7 Extra earning per week = $20 To find: Total earning of Juan’s in a week…

Q: 1) X 2) Ay X

A: Topic = Coordinate geometry

Q: Find (f+g)(x) and identify the graph of f+g f(x)=x^2 and g(x)=6

A:

Q: 4. Use Gauss-Jordan Elimination (with elimination matrices) to solve the following system of…

A: Given 4x-2y+6z=8 -2x+y+9z=12 -6x+3y-9z=12

Q: Find x: by/x + c = a/m

A: NOTE: Refresh your page if you can't see any equations. . subtract c from both sides

Q: Give P(x) = 6x5 – 41x² + 74x³ + 49x² − 252x + 180, write P in factored form. Be sure to =. write the…

A: Factories the given polynomial  P(x)=6x5-41x4+74x3+49x2-252x+180

Q: Find bases for the four fundamental subspaces of the matrix A. 1 12 09 A = N(A)-basis N(AT) =…

A:

Q: -8-8-8-8 n W= Let u = b Find uxu. a (uxv)ov с Find ux0. (0,0,0) Find (uxv)+(vxu) (0,0,0) (uxv) ou…

A:

Q: (i) Show that where à = WA, b {wi}/²1. m Σw? ((xWLS + xWLSai) – bi)² = ||ÃxWLS — Ã||², i=1 = Wb and…

A:

Q: Use the table to convert one dollar directly in one step from US dollars to yen?

A: Given data

Q: 14. ୨ 25 3/2

A: Given query is to write the expression without redical.

Q: Find the projection of the vector v onto the subspace S. 1 0 1 S = span proj, v = 0 1 0 C V= 1 1 0

A: Given:- S=span-1010-10-1-1 , v=1110

Q: Draw the graph of f(x) = = 10-9-8-7-6-5-4-3-2 Clear All Draw: (3) ** 5 10+ 165 9 8 7+ t 6- 5. 3 2- 1…

A: Given query is to graph the function.

Q: When a polynomial is divided by -7x+4, the quotient is x-3 and the remiander is 6. What is the…

A:

Q: Solve the following logarithmic equation. Be sure to reject any value of x that is not in the domain…

A:

Q: OLINES, FUNCTIONS, SYSTEMS Evaluating functions: Linear and quadratic or cubic The functions fand g…

A: We have to slove above question

Q: Find the next term in the geometric sequence that is calculated with a common ratio of 4 if the…

A: Geometric sequence is a sequence where each term is multiplied with a fixed number known as common…

Q: 3 Express each function in the form a(x + b)2 +c, where a b and c are constants and hence state the…

A:

Q: Q: Find the equation of the tangent and normal to the following curves at the points indicated…

A: According to the question,Given Parametric curve,x = cost y = sin tt = π4,We have to find equation…

Q: f I put $600 in a savings account has a 3% simple interest rate, how much TOTAL will be in the…

A:

Q: A bacteria culture initially contains 2500 bacteria and doubles every half hour. Find the size of…

A: