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Temka [501]
2 years ago
5

Membership in a digital library has a $5 startup fee and then cost $9. 95 per month memberships in a video streaming service cos

t $7. 99 per month with no start-up fee use vocabulary words to explain how this information could be used to write an expression for the total cost of both memberships After M months
Mathematics
1 answer:
Sergeu [11.5K]2 years ago
3 0

Answer:

Step-by-step explanation:

Add the cost of the start fee with membership for 'M' months ans the video streaming service for 'M' months

Total cost = startup fee + cost of membership fee for 'M' months + cost of video streaming fees for 'M' months

C = 5 + 9.95M + 7.99M

C = 5 + 17.94M

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Instructions: Find the measure of the indicated angle to the nearest degree.
sweet-ann [11.9K]

The measure of the indicated angle to the nearest degree is 47°.

<h3>What is the measure of the angle?</h3>

Given the data in the question;

  • Adjacent = 36
  • Hypotenuse = 53
  • Angle θ = ?

From trigonometric ratio, Cosθ = Adjacent / Hypotenuse

Cosθ = 36/53

θ = cos⁻¹( 36/53 )

θ = 47°

Therefore, the measure of the indicated angle to the nearest degree is 47°.

Learn more about trigonometric ratio here: brainly.com/question/28016662

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Answer:

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Step-by-step explanation:

<h3>a)</h3>

The function is continuous for x > 0 . The derivative is defined on that interval and is equal to ...

  f'(x) = -2x . . . . . for x > 0

Then at x = 1, the derivative is ...

  f'(1) = -2(1)

  f'(1) = -2

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<h3>b)</h3>

The function has a jump discontinuity at x=0, so the derivative does not exist at that point. A condition for the existence of the derivative is that the function is continuous at the point of interest.

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Step-by-step explanation:

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I'll do #2 and #3 as examples.

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