When you first get into the swimming pool, the water feels rather cool, but after swimming for awhile, the water feels fine. A friend asks you how the water is, and you tell her the "water's great.". She jumps in and then accuses you of lying because the water is freezing. You really were not lying. It is just that you experienced:

a. sensory gating.
b. sensory adaptation.
c. sensory conflict.
d. selective attention.

b. sensory adaptation.                    

Explanation:

Sensory adaptation: In psychology, the term "sensory adaptation" is described as a phenomenon in which an individual experience sensitivity reduction towards a particular stimulus after getting continuous exposure to it i.e, it reduces an individual's awareness towards a continuous stimulus. However, because of sensory adaptation, an individual's resources and attention gets free and allows him or her to attend some other stimuli in the surrounding environment.

In the question above, the given statement signifies sensory adaptation.

x = 7

step-by-step explanation:

equating the expression for area to the given area

2x² - 7x - 4 = 45 ( subtract 45 from both sides )

2x² - 7x - 49 = 0 ← in standard form

to factor consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 49 = - 98 and sum = - 7

the factors are - 14 and + 7

use these factors to split the middle term

2x² - 14x + 7x - 49 = 0 ( factor the first/second and third/fourth terms )

2x(x - 7) + 7(x - 7) = 0 ← factor out (x - 7)

(x - 7)(2x + 7) = 0

equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

2x + 7 = 0 ⇒ 2x = - 7 ⇒ x = -

thus the positive value for x is x = 7