4) Before mandatory school closures, memes about how tough teaching is/how we should appreciate teachers were limited. Since "Operation Home School" was forced

to begin, the numbers double daily. If there are 102,400 memes after 12 days, how

many were there originally?

Initially, there were 50 memes.

Step-by-step explanation:

It is given that the number doubles daily.

Let the initial number = a

On 2nd day, the number = 2a

On 3rd day, the number = 2 2a

On 4th day, the number = 2 2 2a

and so on..

If we look closely, it is a Geometric Progression with

First term = a and

The common ratio, r = 2

Also, it is given that, 12th term:

nth term of a GP is given as:

So,

Hence, the answer is, the initial number is 50.

yes yes yes yes yes yes yes yes yes

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is