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2 years ago

A sequence is shown in the graph.

Mathematics

1 answer:

marysya [2.9K]2 years ago

8 0

<h3>Answer: Choice C</h3>

Explanation:

Focus on the y coordinates. They are: 6, 3, 1.5, 0.75

Divide each by their previous term

3/6 = 0.5
1.5/3 = 0.5
0.75/1.5 = 0.5

We have a common ratio of r = 0.5

This proves we have a geometric sequence.

The starting term is a = 6

The nth term is $a_n = a(r)^{n-1} = 6(0.5)^{n-1}$ which is likely what choice C is showing. Though choice C should be written as 6(0.5)^(n-1)

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Answer:

Step-by-step explanation:

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2 years ago

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Answer:

Step-by-step explanation:

The model fo the shell is given by the following equation of equilibrium:

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$\int\limits^t_{0\,s} \, dt = -\frac{m}{b} \int\limits^{0\,\frac{m}{s} }_{600\,\frac{m}{s} } {\frac{1}{ v^{2}+\frac{m}{b}\cdot g } } \, dv$

The solution of this integral is:

$t = -\frac{m}{2b}\cdot \left[\tan^{-1} \left(\frac{v}{\sqrt{\frac{m\cdot g}{b} } }\right) - \tan^{-1} \left(\frac{600}{\sqrt{\frac{m\cdot g}{b} } }\right)\right]$

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$\frac{v}{\sqrt{\frac{m\cdot g}{b} } }=\tan \left[-\frac{2\cdot b\cdot t}{m} + \tan^{-1}\left(\frac{600}{\sqrt{\frac{m\cdot g}{b} } } \right)\right]$

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3 years ago

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2 years ago

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garri49 [273]

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3 years ago

Select the correct answer from each drop-down menu. A system of equations and its solution are given system A x-y=7 -3x+9y=-39 s

galina1969 [7]

Answer:

Step-by-step explanation:

x-y=7

-3x+9y=-39

Divide the second equation by 3

-x +3y = -13

Add this to the first equation

x-y=7

-x +3y = -13

----------------------

0x +2y = -6

Divide by 2

2y/2 = -6/2

y = -3

Now find x

x-y = 7

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Subtract 3 from each side

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(4,-3)

Or by substitution

x-y=7

solve for x

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Substitute y+7 in for x

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Distribute

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Combine like terms

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Add 21 to each side

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3 years ago