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cestrela7 [59]
3 years ago
5

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

Mathematics
1 answer:
adell [148]3 years ago
3 0

Answer:

a. Amplitude: 19.65446

b. Vertical Shift: 58.00713

c. Period: 2\pi/0.22797 = 27.56146

d. 19.65446 * sin(0.22797x + 1.79552) + 58.00713

e. Model's Temperature at 10 A.M.: f(-7) = 61.91

    This value is 9.91 degrees higher than the actual value.

Step-by-step explanation:

Used graphing calculator's stat calculations

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2 years ago
A ball is kicked from ground level with a velocity of 20 m/s at 30 degrees above the horizontal. Determine the horizontal displa
olga55 [171]

Answer:the horizontal displacement is 34.64 meters

The maximum height is 15 meters

Step-by-step explanation:

As the ball moves from the ground at 30 degrees, it travels through a parabolic path. It can therefore be likened to a projectile. The horizontal displacement to where it lands is the range. The formula for determining range,R is

R = U^2Sin2#)/g

Where

U represents the initial velocity of the ball

g is acceleration due to gravity

# represents the angle above the horizontal.

From the information given

# = 30 degrees

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R = 20^2Sin2×30)/10 = (400Sin60)/20 = (400×0.8660)/10

= 34.64 meters

To determine the maximum height of the ball, H,

H = (U^2Sin^2#)/2g

H = (20^2 × Sin^2 30)/2×10

H = (400 × 0.866^2)/20 = 15 meters

4 0
3 years ago
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ratelena [41]

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Step-by-step explanation:

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