The hourly temperature at Portland, Oregon, on a particular day is recorded below. 1 A. M.

2

3

4

5

6

7

8

9

10

11

12 Noon

46°

44°

43°

41°

40°

40°

41°

43°

46°

52°

65°

69°

1 P. M.

2

3

4

5

6

7

8

9

10

11

12 Midnight

72°

74°

75°

75°

77°

75°

74°

70°

62°

55°

51°

48°

a. Find the amplitude of a sinusoidal function that models this temperature variation.

b. Find the vertical shift of a sinusoidal function that models this temperature variation.
c. What is the period of a sinusoidal function that models this temperature variation?
d. Use t = 0 at 5 P. M. to write a sinusoidal function that models this temp. variation.
e. What is the model’s temperature at 10 A. M.? Compare this to the actual value?

the answer is b.

step-by-step explanation:

identity property is where 0+whatever number=whatever number. basically 0+ a number.

answer is the third choice:

3x^5+4x^4+x^3+2x^2-10x-7=0

step-by-step explanation:

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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