Q and A for the topic: General

Prove that if |z1| = |z2| = |z3| = 1, and z1 + z2 + z3 = 0, then z1, z2, and z3 are vertices of an equilateral triangle inscribed in the unit circle with center at the origin. Graph it.

prove that 1+2w+3w^2+...+nw^(n-1) = n/(w-1)

Is it possible that limx→af(x) doesnt exist, limx→ag(x) exists e limx→a(f(x)⋅g(x)) exists? true or false?

Question 1 (10 points) Develop the following practical case, applying the General Business Accounting Plan: Make accounting entries at the three-digit level: Case 1 01/02 Merchandise is purchased for 50,000 soles plus VAT, the merchandise is entered and paid in cash.

By solving the combined operation 3 - 2 ∙ (2 ∙ 3 - 2 ∙ 4), we obtain:

If the basal area of a right cylinder is 144 π and the length of its height is 15cm, what is the lateral area of the cylinder?

How do you find a % decrease? Example 15% decrease of $997.58

x^2 - 4x - 5 = 0

The utility function of a firm is given by U(q) = -2q2 + 40q + 12,580 (dollars). Determine the number of units that maximizes utility

An airplane flies at a speed of 850 km/h in how much time will it travel a distance of 12,000 km?

ABCD is an isosceles trapezoid (AD=BC; AB∥DC). The diagonal AC=m forms an angle 𝛼 with the base AB and an angle 𝛽 with the leg (as shown in the diagram). a. Express AB and CD using 𝛼, 𝛽 and m b. Show that if AB/DC= 2 and 𝛽=2𝛼 then: cos(2α)= 0.25

This practical activity allows you to have a theoretical and practical basis regarding physics. static. With the help of the PheT Colorado platform simulator, we will develop a system with known and unknown masses. From this, using the concept of torque, we will calculate the value of each of the masses. Therefore, the objectives of this activity are: 1) Apply the concept of Torque. 2) Determine how to calculate the value of an unknown mass by the principle of equilibrium rotation.

Solve using substitution method 2x+3y=12 4x-3y=15

Solve -5(3x-7)+11=1. Justify each step with an operation or property

Determine whether 3p^2qd and (2qdp•-5d^2p) are terms that can be combined explain your reasoning

Find the slope of the line through P and Q. P(−3, 1), Q(8, −6)

Considering that the monthly fixed cost of sandwich production by a company fast food is R$ 100,000.00, that the average variable cost is R$ 25.00 and that the unit cost is sold for R$48.00, answer the questions: 1) What quantity is sold to cover the company's monthly costs? 2) Consider that the company's fixed cost increases to R$ 112,000.00 per month. What is the new balance point? 3) Based on question 2, consider that the average variable cost has increased to R$ 35.00. What is the new break-even point? 4) From question 3, consider that prices have increased to R$53.00, unit sold. What is the new break-even point?

Having received a large inheritance, Jing-mei's parents wish to establish a trust for her college education. Seven years from now they need an estimated $140,000. How much should they set aside in trust now if they invest the money at 6.3%/year compounded quarterly?

Suppose (1+4x)^9 is expanded in ascending powers of x. Which term will have the numerically largest coefficient? A. 4th B. 7th C. 9th D. 10th E. 6th F 5th

The business loan disbursed in March for S/. 150,000 at an APR of 12% was agreed to be paid in 3 equal monthly installments of S/. 55,000 starting in April, however, only 1 installment was paid in April and the businessman wishes to modify his schedule by paying the entire available balance in 2 equal installments in October and November. Determine how much the fees are