Other Math Answers

A computer program in Shannon’s computer carries out a single mathematical operation in 1.5 × 10^-6 seconds. How much time would the program take to complete 2.5 × 10³ mathematical operations?

Which pre-mathematical concept is best described by this illustration, where learners must draw a line to those shapes that look the same? 1) Matching 2) Patterning 3) Classifying 4) Abstraction

A manufacturer produces a product which it sells for $60 per unit. The variable cost per unit is $20 and the fixed cost per month is $10,000. 

1.  How many units must be sold per month to break even?

a. 167      b. 500      c. 400      d. 250      e. None of these

2.  Determine the monthly profit (loss) if it sells 325 units per month.

a. $1500      b. ($1500)      c. $3000      d. $0      e. None of these

3.      How many units must be sold per month to earn a profit of $7000?

a. 342         b. 425      c. 675          d. 575           e. None of these

4.  Find the percent discount for an article listed at $40 whose net price is $25.

a. 15%        b. 25%     c. 37.5%      d.  62.5%       e. None of these

5.   The net price of an article is $125.46. What is the list price if a discount of 38% was allowed?

a. $200.90     b. $204.13       c. $90.91       d. $202.35      e. None of these

Solve using Polya’s four-step problem solving strategies. 

1. A big department store is having a clearance sale, discounting all items by 40%. If the appliance you’re eyeing on is Php 1,500 after the markdown, how much did it cost before? How much will you save if you took advantage of this sale?

Disprove the following statements using counterexample. 

1) (𝑥 + 4)2 = 𝑥2 + 16  

2) 𝑥2 > x  

3) √𝑥2 = 𝑥  

Find VW.   VZ=52 and WZ = 20

Solve the following equation:

x Ix-5I = 20x+3

List the four possible roots in increasing order and indicate if is a EXTRANEOUS root or just a ROOT.

Compare and contrast the use of D’Alembert’s principle with the principle of conservation of energy when solving, A pile driver hammer of mass 140 kg falls freely through a distance of 4.5 m to strike a pile of mass 390 kg and drives it 70 mm into the ground. The hammer does not rebound when driving the pile. Determine the average resistance of the ground.

A pile driver hammer of mass 140 kg falls freely through a distance of 4.5 m to strike a pile of mass 390 kg and drives it 70 mm into the ground. The hammer does not rebound when driving the pile. Determine the average resistance of the ground.

A lift cage of mass 500 kg accelerates upwards from rest to a velocity of 6 ms−1 whilst travelling a distance of 12 m. The frictional resistance to motion is 200 N. Making use of the principle of conservation of energy, determine:

i) the work done

ii) the tension in the lifting cable

iii) the maximum power developed.