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3 years ago

Write the sentence as an inequality. The sum of twice a number n and 8 is less than 25

Mathematics

1 answer:

wel3 years ago

6 0

Answer:

less than twenty five

25 - <u>(2n + 8)</u> < the sum of 2 times N plus 8.

Step-by-step explanation:

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My Notes The displacement from equilibrium of an oscillating weight suspended by a spring is given by y(t) = 1 4 cos(5t) where y

ikadub [295]

Answer:

y(0) = 0.25 feet

$y(\frac{1}{4}) = 0.0789 \text{ feet}$

$y(\frac{1}{2}) =-0.2003 \text{ feet}$

Step-by-step explanation:

We are given the following information in the question:

The displacement from equilibrium of an oscillating weight suspended by a spring =

$y(t) = \displaystyle\frac{1}{4} \cos(5t)$

where y is the displacement in feet and t is the time in seconds.

Here, cos is in radians.

1) t = 0

$y(0) = \displaystyle\frac{1}{4} \cos(5(0)) = \frac{1}{4} \cos(0) = \frac{1}{4}(1) = \frac{1}{4}$

y(0) = 0.25 feet

2) t = $\frac{1}{4}$

$y(\displaystyle\frac{1}{4}) = \displaystyle\frac{1}{4} \cos(5(\frac{1}{4})) = \frac{1}{4} \cos(1.25) = \frac{1}{4}(0.31532236) =0.07883059$

$y(\frac{1}{4}) = 0.0789 \text{ feet}$

3) t = $\frac{1}{2}$

$y(\displaystyle\frac{1}{2}) = \displaystyle\frac{1}{4} \cos(5(\frac{1}{2})) = \frac{1}{4} \cos(2.5) = \frac{1}{4}(-0.80114362) = -0.200285905$

$y(\frac{1}{2}) =-0.2003 \text{ feet}$

The negative sign indicates the opposite direction of displacement.

3 0

3 years ago

Translate verbal expression to an algebraic expression<br><br> 8 times a number x is subtracted by 4

slamgirl [31]

Answer:

8x - 4

Step-by-step explanation:

8x - 4

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3 years ago

What best describes movement of particles in a solid

Fudgin [204]

Answer:The particles in a solid are tightly packed and locked in place. Although we cannot see it or feel it, the particles are moving = vibrating in place.

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2 years ago

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What did the teenage yardstick say to its parents

NeX [460]

Answer:

I want to stand on my own three feet

Step-by-step explanation:

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3 years ago

Which inequality represents “35 is less than 3 times 4 more than a number”

Natasha2012 [34]

I believe it would be 3×4x<35

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3 years ago