The polynomial 24x3 − 54x2 + 44x − 99 is factored by grouping. 24x3 − 54x2 + 44x − 99 24x3 + 44x − 54x2 − 99 4x(____) − 9(____)

To determine the lateral area of the pentagonal prism illustrated in the figure, we begin the calculation.

According to the definition:

Where:

: Represents the lateral area

: Refers to the perimeter of the base

h: Denotes the height

By substituting the known values:

Result:

Response:

30

Detailed steps:

9r+16=pi5

9r+16=22/7*5

9r+16=15.7

16-15.7=9r

0.3=9r

9r=0.3

r=30

Answer:

150

Step-by-step explanation:

We perform addition.

a) The total of 48 added to itself

= 48 + 48 = 96

b) Its half plus half of the half

= 96 + (1/2 × 48) + (1/2 × (1/2 × 48)

= 96 + 24 + (1/2 × 24)

= 96 + 24 + 12

= 132

c) plus 18

= 132 + 18

= 150

Thus, adding 48 to itself, its half, and half of that to 18 results in 150.

The initial score was 80, and there was a wrongfully deducted 5 points. This indicates that any result equating to 85 is the correct outcome.

80 + 5 = 85

80 - (-5) = 85

The absolute inequality regarding p is represented as |p - 72%| ≤ 4%. This reflects that with an initial 72% poll result and a margin of error of 4%, p likely falls between 68% and 76%, indicating the potential range of p.