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yan [13]
3 years ago
5

What conclusions can be made about the series ∞ 2 cos(πn) n n = 1 and the integral test?

Mathematics
1 answer:
Degger [83]3 years ago
7 0
A group of environmentalists were discussing the benefits and drawbacks associated with using fossil fuels. Which argument <span>best </span>fits the conversation? 
Fossil fuels are cheaper than alternative forms of energy.Fossil fuel reserves will never be depleted.<span>Fossil fuels are easily renewed. </span><span>Fossil fuel use does not affect the environment.</span>
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Describe the transformation done to y=1/x to get y=1/4x-12.<br><br> Please Show Work.
goldenfox [79]
These are the steps for transforming y=1/x to y=1/4x -12:

Step 1: Compress the original function by 4 in x direction. This will yield,

y= 1/4x

Step 2: The resulting function in step 1 is moved down by 12 spaces. The resulting function will be;

y= 1/4x -12
3 0
3 years ago
1/5 divided by 4 equals to what
Dima020 [189]

Answer:

1/5 divided by 4 equals to 0.05

7 0
2 years ago
Thirty coins,all dimes and nickels,are worth $2.60. How many nickels are there?
quester [9]

Answer: 12 nickels

Step-by-step explanation:

4 0
3 years ago
The volume of a book is 60 cubic inches.If a large box holds about 12 books,estimate the volume of a large box
Katyanochek1 [597]
The answer is:  720 in³  .
_____________________________________
Explanation:
_____________________________________
  60 in³ * (12) = 720 in³ .
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6 0
3 years ago
A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the
Stolb23 [73]

Answer:

  • t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.

Explanation:

<u>1) Explanation of the model:</u>

  • Given: h(t) = -16t² + 48t

  • This is a quadratic function, so the height is modeled by a patabola.

  • This means that it has a vertex which is the minimum or maximu, height. Since the coefficient of the leading (quadratic) term is negative, the parabola opens downward and the vertex is the maximum height of the soccer ball.

<u>2) Axis of symmetry:</u>

  • The axis of symmetry of a parabola is the vertical line that passes through the vertex.

  • In the general form of the parabola, ax² + bx + c, the axis of symmetry is given by x = -b/(2a)

  • In our model a = - 16, and b = 48, so you get: t = - ( 48) / ( 2 × (-16) ) = 1.5

<u>Conclusion</u>: since t = 1.5 is the axys of symmetry, it means that at t = 1.5 the ball reachs its maximum height and that it will take the same additional time to fall back to the ground, whic is a tolal of  1. 5 s + 1.5 s = 3.0 s.

Answer: t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.

8 0
3 years ago
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