If f(x) = 7 + 4x and g (x) = StartFraction 1 Over 2 x EndFraction, what is the value of (StartFraction f Over g EndFraction) (5)

The result is:

B. 3.13

Response: a)

b)  The area has grown by 0.75 square meters.

Detailed breakdown:

Let the room's length be l

Let the room's breadth be 'b'

The area of a rectangle is calculated using the formula:

Per the problem, the room's new area equals 175% of its old area.

Thus, a) The new area of the room is determined as

This indicates a 175% increase in the room's length, resulting in a 175% increase in area.

b) The increase in square meters for Megan's room area is

Sam needs to score 97 on his upcoming test to keep his average at 85. If you total 63, 84, 96, and 97, the sum is 340. Dividing 340 by four test scores yields an exact average of 85.

Answer:

Step-by-step explanation:

First, we apply the Pythagorean theorem to determine the distance from Manuel’s home to the resort.

S1 = √50²+20²

S1 = √2500+400

S1 = √2900

S1 = 53.85m

Next, we find the distance from Manuel's home to his friend’s residence.

S2 = √15²+10²

S2 = √225+100

S2 = √325

S2 = 18.03m

The distance between the two boys and the resort will be represented as ∆S = S2 - S1.

∆S = 53.84 - 18.03

∆S = 35.81m

Answer: CI = (0, 8)

Step-by-step explanation: The confidence interval for the difference in means is given as

Lower limit

= (x1 - x2) + margin of error

Upper limit

= (x1 - x2) - margin of error

Where x1 - x2 = 8 and the margin of error = 8

For the lower limit,

= 8 - 8 = 0

For the upper limit

= 8 + 8 = 16

Thus, CI = (0, 8)