Q and A for the topic: General

5(y-1)-4=-2(-2y+9))-5y

. Use either substitution Four footballs elimination method to solve the word problem. subst one football three soccer balls cost $186. One football and five would use to solve the system. U substitution or elimination a soccer ball. soccer balls cost $174) Hoem U to determine how much it would cost for the football and [6 Let f represent the cost of a football. Let s represent the cost of a soccer ball

use the power series expansion method to find the solution, up to and including the term v in x^(4), of the following differential equation with the initial values: (d^(2)y)/(dx^(2))-4(dy)/(dx)+e^(x)y=x^(2),y(0)=1,y^(')(0)=1

Find the complex zeros of the following polynomial function. Write fin factored form. fx)=x4 + 5x2+4

If Q is the point with coordinates (b,1), and its distance from the origin is half its distance to the point (1,3), determine the value b

Given the cantilevered isostatic beam shown below, determine the support reactions and diagrams of DEC and DMF efforts. A 2.00 m w1 (kN/m) 3.00 m Structures - Fund. Stability and Resistance w3 (kN/m) AB 1.00 m P3 (kN) w2 (kN/m) 4.00 m 2.00 m P1 (kN) P2 (kN) P3 (kN) RA: 0 0 0 00 22 P1 = (7 + 0) kN P2 = (5 + 2) kN P3 = (4 + 2) kN w1 = (3 + 0) kN/m

Let's apply what we learned in a practical exercise. 200 students respond a test and 10% of them answer question 12 incorrectly. Considering that all the students answered question 12, how many students answer this question correctly?

(𝟏𝟐) -8 × (2) -13 × (𝟏𝟐) -5 =

X - y = 15 2x + 3y = 29

In the following problems find the total area bounded by the graph of the function given and the x-axis in the given interval. 1.y=x-1;[-1,1]

Find the area between the curves Y=x³ Y= x^1/3

dy needs to bake a 20cm diameter cake. How big should the surface of the tray be at least to fit the cake?

3 x 1

write the continuous equation of the line that passes through (1,4) and (1,2)

Sharp Company manufactures a product for which the following standards have been set: Standard Quantity or Hours Standard Price or Rate Standard Cost Direct materials 3 feet $ 5 per foot $ 15 Direct labor? hours? per hour ? During March, the company purchased direct materials at a cost of $55,650, all of which were used in the production of 3,200 units of product. In addition, 4,900 direct labor- hours were worked on the product during the month. The cost of this labor time was $36,750. The following variances have been computed for the month: Materials quantity variance $ 4,500 U Labor spending variance $ 1,650 F Labor efficiency variance $ 800 U Required: 1. For direct materials: a. Compute the actual cost per foot of materials for March. b. Compute the price variance and the spending variance. 2. For direct labor: a. Compute the standard direct labor rate per hour. b. Compute the standard hours allowed for the month's production. c. Compute the standard hours allowed per unit of product.

Solve the following separable differential equations. 1. dy/dx=sin5x

Suppose that in the market for good X there are 4000 consumers, with an individual demand curve given by: 𝑄 𝐷 = 30 − 0.75𝑃. There are also 100 producers, each of which has a supply curve given by: 𝑄 𝑆 = −300 + 20𝑃 Page 5 of 12 2.1.1. Determine the equilibrium price and quantity in this Marketplace. Represent graphically.

Walking along Hadrian's Wall, a group of walkers encountered a man who claimed Discover a magical well. If a bag of money was put into the well, after counting to five, the well doubled the money on it. Stunned, the walkers asked him: “How much would it cost us to use the Good?" The man replied: "Every time you put a bag in the well and count to five, give me €148. Do you accept?" They accepted. The man put his bag in the well, counted until five and took it out. The money had doubled. The walkers took €148 from the bag, paid and He asked to repeat the operation. But the third time they did it, after paying €148 According to the man, the wallet no longer had any money in it! How is this possible?

Use the formula for nCr to evaluate the expression. 9) 7C4

From 10 names on a ballot, a committee of 3 will be elected to attend a political national 11) convention. How many different committees are possible?