Two models of a product - Regular (X) and Deluxe (Y) - are produced by a company. A linear programming model is used to determin

Answer:- 1. True. A compass serves the purpose of drawing circles and arcs in geometric constructions.

2. False. A standard geometric construction necessitates the use of a straightedge, compass, and pencil, among other tools, to accurately draw a geometric figure.

3. True. Geometric constructions are crafted using a compass and straightedge.

4. True. Protractors assist in geometric constructions for measuring angles, while rulers are employed to gauge segment lengths.

Shane and Abha received a team badge for gathering at least 2000 cans for recycling.

This indicates that their collection must total a minimum of 2000 cans.

Abha managed to collect 178 more cans than Shane.

Let’s denote the number of cans Shane collected as S

So, Abha collected = S + 178

The inequality representing the number of cans collected by Shane can be expressed as:

=

Answer:

(a) 4i iterations

(b) "i × n" iterations

Step-by-step explanation:

(a) The provided algorithm segment shows:

for i:= 1 to 4, (Outer loop)

for j:= 1 to i (Inner loop)

next j,

next i

The inner loop executes i times while the outer loop completes 4 cycles.

The inner loop’s total execution when the full algorithm runs is:

= i × 4

= 4i iterations

(b) In the given algorithm segment;

for i:= 1 to n, (Outer loop)

for j:= 1 to i (Inner loop)

next j,

next i

where n denotes a set of positive integers.

= i × n

= "i × n" iterations