7. a) A blend of coffee is made by mixing Coffee A with Coffee B in the ratio 3: 2. Coffee A costs €12 per kg and Coffee B costs €15 per kg. 1) Calculate the cost of 500 g of this blend of coffee. iI) Calculate the price of 1 kg of this blend of coffee if It is sold at a profit of 20 %, b) In a primary class, = of the children are girls. of the boys play tennis. None of the girls play tennis. What fraction of the children in this class play tennis?
Q: Find the image of the following lines/curves y=(1/x) under the mapping f(z) = z^2. If possible, dete...
A:
Q: For the given rational function, (A) Find the intercepts for the graph. (B) Determine the domain. (C...
A: Note: We will only answer up to three sub-parts as the exact one is not specified. Please resubmit t...
Q: 00 Consider the vector field F and the curves pictured below. Then Jc F Se, F- dr > 0, and f F dr + ...
A: Given the vector field F→ and the curves,
Q: L{e at sinh(-at)} s2 +2as (s-a)² (sta)? 82-2a
A: Laplace transferom
Q: 8+71 4. Write the expression as a complex number in standard form. 3-44
A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...
Q: L{sin t H (t - 27)}
A:
Q: f(x) = esin(x) 2* = x = 1.2 a = (Round your answer to six decimal places.) T;(1.2) = (Round your ans...
A:
Q: Solve the equation 4x* +20=0 and write the resulting solution in the polar form,r Z0. Given z, = 1+ ...
A:
Q: Determine the solid bounded by the surfaces 9x2+4y2=30 and the plane 9x+4y−6z=0 in the first octant.
A: Given surface is 9x2+4y2=30 and plane is 9x+4y-6z=0 Bounded region in first octane ⇒x≥0, y≥0, z≥0 T...
Q: Question 5 Find all integers n >1 such that 1" + 27+...+(n – 1)" is divisible by n. |
A: To find all the integers n>1 such that 1n+2n+...+n-1n is divisible by n Proof: Let pn=1n+2n+...+n...
Q: 5. Find the area of the surface generated by revolving the given curve about the -axis. x = 9y + 1,0...
A: Thw given problem is to find the area of surface generated by revolving the given curve about y-axis...
Q: Prove by the principle of mathematical induction that 3n2 + 3n + 1 < 2n for n ≥ 8 Ensure that you ex...
A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...
Q: -x-1 -x 2 Let A = 1 2 (i) Determine an expression for det(A). (ii) For what values of x will the mat...
A:
Q: Evaluate the following expressions using GEMDAS or PEMDAS rule. 4. 10 - 2+6÷ 3 8. 46 - 62 + 36 5. 20...
A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three sub-...
Q: Consider the function f(x) = 4e – (x – 1)2 + e -4x2 – sin x. (a) Plot the function over a range that...
A: (a)
Q: An automobile company produces cars in Los Angeles and Detroit and has a warehouse in Atlanta. The c...
A: The procedure of the solver parameter is given below. 1. Go to “Data†menu and click on “Solve...
Q: Jse a truth table to represent following statement. Ensure that he steps taken.Roxanne, Sam and
A: Introduction: In sentential logic, a statement is constructed from simple statements by using logica...
Q: 22 — 4х — 72і — 12 — 14i Evaluate lim z+6+7i and write it in the standard a + ibform. What is the va...
A: Factoring denominator and numerator and cancel the factor (z-(6+7i)) from the fraction.
Q: Find all singular points of the given equation and determine whether each one is regular or irregula...
A:
Q: 3.20 Composition with an affine function. Show that the following functions f: R" -→R are convex. (a...
A:
Q: 1. Find the isogonal trajectories intersecting at an angle 45° to the family of the hyperbolas x2 - ...
A:
Q: L{e _at sinh(-at)} s2+2as - (s-a)" (s+a)?
A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...
Q: Form the differential equation by eliminating constants a and b from y = a(b – x)(b+x) + 56.
A:
Q: Composition with an affine function. Show that the following functions f : R" → R are convex. (a) f(...
A: Given that, fx = Ax - b , where A ∈ ℝm×n , b∈ℝm , and . is a norm on ℝ . We have t...
Q: TRUE
A:
Q: 1. Prove that the properties of determinants are true by solving the following: [3 1 -5 o -5 [-1 -4 ...
A:
Q: Find a point zo where the function f (2) = (z – 8 – 10i) (z– 8 – 10i)differentiable. What is the rea...
A:
Q: [11 3. Consider the Hill 2-cipher with the encryption matrix decrypt the message you just received f...
A: Consider the Hill 2-Cipher with the encryption matrix 11152. The aim is to solve decrypt the message...
Q: Solve the following complex numbers in their rectangular form. Where in Z1=2 + 4i, Z2 = -2.0806 +...
A:
Q: at is blank minus 8 equals 3
A: INTRODUCTION: It is a basic arithmetic operation that is represented by the subtraction symbol (-) a...
Q: There are at least 3 ways to solve the equation (sec^2(2theta)-1)^2 = 9. Use at least two of the way...
A:
Q: NI. x > x3 2. - 21 2
A:
Q: 3.16 For each of the following functions determine whether it is convex, concave, quasiconvex, or qu...
A:
Q: (c) Determine the zeros of the function and their multiplicity. Use this information to determine wh...
A: Solution
Q: Problem 1.6 Prove that there are no solutions in integers x and y to the equation 2x² + 5y² = 14.
A:
Q: Abe can paint the room in 15 hours, Bea can paint 50% faster than Abe, and Coe can paint twice as fa...
A:
Q: 3. Show COMPLETELY that the equation y = C (-1)"x" n=1 is the general solution to the differential e...
A:
Q: y=f'(x) (a) On what interval(s) is fincreasing? (Enter your answer using interval notation.) On what...
A:
Q: Find the Taylor polynomial T2(x) and compute the error |f(x) – T2(x)| for the given values of a and ...
A: Please find attachment for the details solution
Q: 4. Find the area of the surface generated by revolving the given curve about the -axis. y = 7x,0 < x...
A:
Q: Given x0 = 0.1, y0 = 0.2, x1 = 0.2, y1 = 0.24, x2 = 0.3, y3 = 0.3. Find f [x0, x1] and f [x0, x1, x2...
A: Note: It is assumed that y2=0.3. The formula for P1x is P1x=f(x0)+x-x0fx0, x1 and the formula for ...
Q: 9. Which of the following is NOT a benefit obtained from the proper planning and control of inventor...
A:
Q: (a) Show that for p> 1, |æ1|P + • .· + |æn|P f(x, t) = tp-1 tp-1 is convex on {(x, t) | t > 0}.
A:
Q: 5) Suppose TE L(V) is invertible. (a) Suppose 2 E F with 2 # 0. Prove that 2 is an eigenvalue of T i...
A: Note: Every linear transformation can be represented as a matrix. Let T be a linear transformation f...
Q: Draw a sketch of the plane of 4x – 4y + 2z – 9 = 0.
A: Solution
Q: Suppose you have a conical tank of height 4m and radius 1m filled with a liquid of density p (shown ...
A:
Q: bability distribution shows the number of items a customer buys in a book store and their correspond...
A:
Q: dy 4. Solve the homogeneous differential equation + 6xe x. dx ||
A: Solution :-
Q: 8.27) A saientist the numbber grows to the equation baderia ace NE)- Ae O· 1st where t ö measured i ...
A:
Q: Price (RM) per kg Harga (RM) per kg Price index in the year 2017 based on the year 2015 | Weightage ...
A: A price index is a weighted average of the prices of a selected basket of goods and services...
Step by step
Solved in 2 steps with 1 images
- If the cost of each Robust tablet increases to 75 c and the cost of each Vigortab increases to 80 c , find the minimum cost.A cable is to be run from a power plant on one side of a river 180 meters wide to a factory on the other side, 370 meters downstream. The cost of running the cable under water in $26 per meter, while the cost on land is $10 per meter. What route minimizes the total cost?Two equal rectangular lots are enclosed by fencing the perimeter of a rectangular lot and then putting a fence across its middle. If each lot is to contain 2,700 square feet, what is the minimum amount of fence (in ft) needed to enclose the lots (include the fence across the middle)?
- A farmer needs to enclose a rectangular pasture containing 2,500,000 square feet.Suppose that along the road adjoining their property that they want to use a more expensivefence and that there is no need of a fence on one side perpendicular to the road (because a riverbounds the property). If the fence costs $15 per foot along the road and $10 per foot along theother perpendicular sides, what dimensions of the rectangular field will minimize the total cost?(See diagram below for visual information)A plant food is made from three chemicals, labeled I, II, and III. In each batch of the plant food, the amounts of chemicals II and III must be in the ratio of 5to 3. The amount of nitrogen must be at least 39 kg. The percent of nitrogen in the three chemicals is 8%,4%,and 5%,respectively. If the three chemicals cost $1.02 $0.86 and $0.66 per kilogram, respectively, how much of each should be used to minimize the cost of producing at least 600 kg of the plant food?If to produce 1 kg of mix A costs $12.50, 1 kg of mix B costs $12.40 and 1 kg of mixC costs $11.70, determine the cost per kilogram of each different kind of nut. Hence,find the cost per kg to produce a mix containing 400 gram of Cashews nuts, 200 gramof Macadamias nuts and 400 grams of Brazil nuts.
- A farmer wants to start raising cows, horses, goats, and sheep and desires to have a rectangular pasture for the animals to graze in. However, no two different kinds of animals can graze together. In order to minimize the amount of fencing she will need, she has decided to enclose a large rectangular area and then divide it into four equally sized pens by adding three segments of fence inside the large rectangle that are parallel to two existing sides (see attached image). She has decided to purchase 7500 ft of fencing. What is the maximum possible area that each of the four pens will enclose? Make sure to include units in your answer.They'll offer a variety of chips from that factory, and they'll have to figure out how much capacity to devote to each one. Consider the possibility that they will sell two chips. Phoenix is a brand-new architecture created just for 7 nm technology, whereas RedDragon is the same architecture as their 10 nm BlueDragon. Consider a profit of $15 per defect-free chip forRedDragon. Phoenix will benefit $30 for each defect-free chip. The diameter of each wafer is 450mm. a. How much profit do you make on each wafer of Phoenix chips?2. What is the AP weight of 2 # 6 oz of peeled turnips if their yield percentage is 88%? 3. How many ounces of trimmed asparagus can you expect to get out of 1 # of purchased asparagus, if the yield percentage of asparagus is 79%? 4. What is the edible portion cost per pound for diced zucchini that costs $0.75/# and has an 86% yield? 5. What is the AP cost per pound for a butternut squash that has a 63% yield and an EP cost of $0.14/oz? 6. What is the EP cost per pound for lentils that require no precooking preparation and have an AP cost of $0.78/#? What is their yield percentage? 7. You paid $21.35 for 20 # of beets. After peeling and slicing, you have exactly 17 # of beet left. What is the EP cost per pound for the prepped beets?
- (a) The service elevator at AR Hector Financial Complex has a maximum capacity of 2870 lbs.If the elevator operator weighs 205 lbs and has to move hundreds of boxes from the ground floor to the Penthouse, if each box weighs 65 lbs, what is the maximum number of boxes that can be safely conveyed on the elevator on each trip?18(b) The borough of Pan Sherzando charges homeowners $75.24 per month plus $3.86 per 1000 litres for water usage in excess of 10,000 litres.In 2019 one homeowner’s monthly bill ranged from $137.00 to $245.08.Find the range for the water used by that homeowner.(c) A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must,by agreement, contain a rectangular border of uniform width and must be exactly 120 sq meters in area.(i) How wide should the border be? Round to the nearest tenth of a metre.(ii) If physical planning laws require at least a 2-metre-wide border around a pool, would the contractor be able to satify both the client and…A piece of wire 21 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. (a) How much wire should be used for the square in order to maximize the total area?(b) How much wire should be used for the square in order to minimize the total area?(a) The service elevator at AR Hector Financial Complex has a maximum capacity of 2870 lbs.If the elevator operator weighs 205 lbs and has to move hundreds of boxes from the ground floor tothe Penthouse, if each box weighs 65 lbs, what is the maximum number of boxes that can besafely conveyed on the elevator on each trip? (b) The borough of Pan Sherzando charges homeowners $75.24 per month plus $3.86 per1000 litres for water usage in excess of 10,000 litres. In 2019 one homeowner’s monthlybill ranged from $137.00 to $245.08. Find the range for the water used by that homeowner.