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crimeas [40]
3 years ago
6

Graph the six terms of a finite sequence where a1 = −6.25 and r = 1.25.

Mathematics
1 answer:
Virty [35]3 years ago
3 0

Answer:

Step-by-step explanation:

As per the question statement, a₁ is -6.25 and common ratio (r) is 1.25.

Therefore, the six terms of finite sequence would be as per the following equation f(n) = a1(r)^{n-1}. Thus, the series would be

  1. a1 = -6.25
  2. a2 = -6.25*r = -6.25*(1.25) = -7.8125
  3. a3 = -6.25*r^2 = -6.25*(1.25)^2 = -9.765625
  4. a4 = -6.25*r^3 = -6.25*(1.25)^3 = -12.20703125
  5. a5 = -6.25*r^4 = -6.25*(1.25)^4 = -15.2587890625
  6. a6 = -6.25*r^5 = -6.25*(1.25)^5 = -19.073486328125

So the points on the graph will be on following points,

(1, -6.25), (2, -7.8125), (3, -9.765625), (4, -12.20703125), (5, -15.2587890625), (6, -19.073486328125).

The graph would look like as attached.

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A ball is thrown with an initial velocity of 70 km per second, at an angle  of 35° with the horizontal. Find the vertical and ho
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i. The horizontal component of the ball = 15.8

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Step-by-step explanation:

A thrown ball is an example of a projectile, whose motion can be explained with respect to both horizontal and vertical components.

Horizontal component of the ball = U Cos θ

Vertical component of the ball = U Sin θ

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Thus for the given question,

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So that;

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                                               = 19.44 x 0.8192

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ii. The vertical component of the ball = 19.44 Sin 35°

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Answer:

I) |xz| ≈ 28.6 km

II) |yz| ≈ 34.8 km

Step-by-step explanation:

Let's assume that the position of ship due south of x is z (aà pictor representation of the question is attached)

|xy| = 20 km, |xz| = ?, |yz| = ?, θ(y) = 55°

Using Trigonometric ratio - SOHCAHTOA

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<u />

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