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3 years ago

11

1/4,1/12,1/36,1/108 Describe the pattern for the sequence. Then find the next three terms

1 answer:

lidiya [134]3 years ago

3 0

The number is multiplied by 3 every time

and next three terms are 1/324, 1/972 and 1/2916

good luck

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What is the Kinetic Energy of a 15 kg object that is moving with a speed of 30 m/s?

crimeas [40]

Answer:

6750J

Step-by-step explanation:

30^2=900 900x15=13500 13500/2=6750

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3 years ago

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If a = pi +3j - 7k, b = pi - pj +4k and the angle between a and is acute then the possible values for p are given by

PIT_PIT [208]

Answer:

The family of possible values for $p$ are:

$(-\infty, -4) \,\cup \,(7, +\infty)$

Step-by-step explanation:

By Linear Algebra, we can calculate the angle by definition of dot product:

$\cos \theta = \frac{\vec a\,\bullet\,\vec b}{\|\vec a\|\cdot \|\vec b\|}$ (1)

Where:

$\theta$ - Angle between vectors, in sexagesimal degrees.

$\|\vec a\|, \|\vec b \|$ - Norms of vectors $\vec {a}$ and $\vec{b}$

If $\theta$ is acute, then the cosine function is bounded between 0 a 1 and if we know that $\vec {a} = (p, 3, -7)$ and $\vec {b} = (p, -p, 4)$ , then the possible values for $p$ are:

Minimum ( $\cos \theta = 0$ )

$\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} > 0$

Maximum ( $\cos \theta = 1$ )

$\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} < 1$

With the help of a graphing tool we get the family of possible values for $p$ are:

$(-\infty, -4) \,\cup \,(7, +\infty)$

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2 years ago

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Annette [7]

Answer:

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Explanation:

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<u>Equation</u>:

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2 years ago

What is 1 over 40 in decimals

Sindrei [870]

Answer:

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Step-by-step explanation:

you can divide 1/40 and should get 0.025

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3 years ago

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Which of the following are equivalent to the function y = 4cos x - 2? Check all that apply.

Amiraneli [1.4K]

The answer is
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proof
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3 years ago

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