Q and A for the topic: General

List the remaining zeros of the polynomial with the given zeros Zeros are: 2, 3i, and 3 + i

Let x be an integer. Prove that x^2 is even if and only if is divisible by 4.

2x2

Write the equation of the line that is parallel to y= 4x-7 and has a y- intercept at (0,5)

viii. An ac circuit with a 80 μF capacitor in series with a coil of resistance 16Ω and inductance 160mH is connected to a 100V, 100 Hz supply is shown below. Calculate 7. the inductive reactance 8. the capacitive reactance 9. the circuit impedance and V-I phase angle θ 10. the circuit current I 11. the phasor voltages VR, VL, VC and VS 12. the resonance circuit frequency Also construct a fully labeled and appropriately ‘scaled’ voltage phasor diagram.

effectiveness of fiscal and monetary policy under closed and open economies

Build a truth table for the statement ~(pvq)^~p

Give an example of a function defined in R that is continuous in all points, except in the set Z of integers.

Let f and g be defined in R and suppose that there exists M > 0 such that |f(x) − f(p)| ≤ M|g(x) − g(p)|, for all x. Prove that if g is continuous in p, then f will also be continuous in p.

In a physics degree course, there is an average dropout of 17 students in the first semester. What is the probability that the number of dropouts in the first semester in a randomly selected year has between 13 and 16 students?

In an orchard there are 360 trees and they are distributed in 9 rows with the same number of trees in each row. 2 are rows of orange trees, 4 of apple trees and the rest are of pear trees. What fraction of the trees in the orchard are of each type of fruit tree? How many trees of each type are there?

a survey showed that 3 out of 7 voters would vote in an election. based on this survey, how many people would vote in a city with 25,000 people?

(X+2)(x+3)=4x+18

Derivative of 2x

We have received our p&l statement back from accounts. The board has asked for an innovation hub. What items should we prioritise reviewing to decide if we can afford an innovation hub?

A contractor gives a bank note for $10250 at a rate of 1% for one month. How much interest is charged for 4 months?

A hardware bill totals $857.63 with discounts of 5% and 3%. What is the net cost of the Material ?

A building lot is in the shape of a triangle with a base of 133 feet and a height of 76 feet. What is it's area in square feet?

Sections of steel tube having an inside diameter of 9 inches, are filled with concrete to support the main floor girder in a building. If these posts are 12 feet long and there are 18 of them, how many cubic yards of concrete are required for the job?

A,B,C and D are the corners of a rectangular building. Find the lengths the diagonals if AB measures 38' - 9" and AD measures 56' - 3"