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Assoli18 [71]
3 years ago
7

Find the exact value of tan(theta) for an angle (theta) with sec(theta) = 3 and with its terminal side in Quadrant I.

Mathematics
1 answer:
stiks02 [169]3 years ago
3 0

Answer:

c

Step-by-step explanation:

1 + tan²theta = sec²theta

tan²theta = 3² - 1

tan²theta = 8

tan theta = sqrt(8)

Positive because Quadrant 1

sqrt(8) = sqrt(4×2) = sqrt(4)×sqrt(2)

= 2×sqrt(2)

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John is 31 and Jenny is  26

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The fitted regression is Sales = 832 − 28.2 Price. (a-1) If Price = 1, what is the prediction for Sales? (Round your answer to 1
almond37 [142]

Answer:

Part (a-1): The prediction for Sales is 803.8.

Part (a-2): The correct option is: An increase in price decreases sales.

Part (B): The prediction for sales is 211.66

Part (C): The intercept is meaningful as sales will be maximized when price is zero.

Step-by-step explanation:

Consider the provided regression:

Sales = 832 − 28.2 Price

(a-1) If Price = 1, what is the prediction for Sales?

Substitute Price = 1 in above regression.

Sales = 832 − 28.2 (1) = 803.8

Hence, the prediction for Sales is 803.8.

Sales (a-2) Choose the correct statement.

Here we can observe that as we increase the price, sales decrease.

Thus, the correct option is: An increase in price decreases sales.

(b) If Price = 22, what is the prediction for Sales?

Substitute Price = 22 in above regression.

Sales = 832 − 28.2 (22)

Sales = 832 − 620.4

Sales = 211.66

Hence, the prediction for sales is 211.66

Sales (c) Choose the right option.

As we increase the price, sales decrease that means the sales will be maximum if the price is 0.

The intercept is meaningful as sales will be maximized when price is zero.

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3 years ago
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-Dominant- [34]

Answer:

1/15   gal / mile   if your numbers are correct

Step-by-step explanation:

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An object moves in simple harmonic motion with period 8 seconds and amplitude 6 cm. At time t = 0 seconds, its displacement d fr
Vladimir79 [104]

In the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.

<h3>What is simple harmonic motion?</h3>

Simple Harmonic Motion is described as a motion in which the restoring force is proportionate to the body's displacement from its mean position.

We have:

Amplitude A = 6 cm

Time period = 8 seconds

T = 2π/w

8 = 2π/w

w = π/4

Its displacement d from rest is -6 cm, and initially, it moves in a positive direction.

d(0) = -6 cm at t = 0

The equation becomes:

\rm d = 6sin(\dfrac{\pi}{4}t)-6

Thus, in the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.

Learn more about the simple harmonic motion here:

brainly.com/question/17315536

#SPJ1

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