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3 years ago

Let x represent each number. write an equation and solve for the variable.

Mathematics

1 answer:

GaryK [48]3 years ago

6 0

Answer:

Hi there!

Your answer is;

1) x= 13

2) x= 5

Step-by-step explanation:

x-5 = 8

3x+2= 17

x-5=8

x= 13

3x+2 = 17

-2

3x= 15

x= 5

Hope this helps

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The first term of sequence is 13

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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

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

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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 = $\frac{1}{2}$

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

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The negative sign indicates the opposite direction of displacement.

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3 years ago

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poizon [28]

Answer:

11i

Step-by-step explanation:

first you have to get a postive root.

$\sqrt{-121} \\ \sqrt{-1} \sqrt{121} \\$

then you solve the square roots from there, keeping in mind the imaginary number answer to the square root of -1, i.

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