Help ASAP PLEASE!!!

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

A color printer prints 7 pages in 3 minutes.

mojhsa [17]

Answer:

2 pages per minute

Step-by-step explanation:

when you divide 7 by 3, your answer would be 2.3333333333 and so on.

however, you can say

iT pRiNtS 2 aNd A tHiRd pAgEs PeR MiNuTe.

you should say it prints 2 whole pages a minute.

i hope this helps!

stay safe!

:)

4 0

3 years ago

Suppose the function D(p)=1500-25p represents the demand for hot dogs, whose price is p, at a baseball game. Find the domain of

TiliK225 [7]

The function is given by

$\\ \tt\hookrightarrow D(p)=1500-25p$

Price must be greater than 0

$\\ \tt\hookrightarrow 1500-25p\geqslant 0$

$\\ \tt\hookrightarrow 1500\geqslant 25p$

$\\ \tt\hookrightarrow p\leqslant 60$

Now

$\\ \tt\hookrightarrow D_f\in (-\infty,60]$

3 0

3 years ago

If the length of a side of a square is x CM its perimeter is

andreev551 [17]

Square perimeter =4x cm.

The complete length that a square's edge encompasses is referred to as its perimeter. Any enclosed geometric shape's perimeter may be computed by measuring the space around it.

By calculating the total of all the sides of a square, the perimeter may be determined. The perimeter of a square will be stated as,

The perimeter of square = s + s + s + s

⇒Perimeter of square = 4s, where "s" is the side length of the square.

This is because all edges of a square are equal and each edge measures "s" units.

<h3>Calculating the perimeter of a square:</h3>

Mathematically, the formula for calculating a square's perimeter is: Square perimeter, (P) = 4 Side

⇒P= 4x cm

It is concluded that the solution is 4x cm.

Learn more about square perimeter:

brainly.com/question/11495285?referrer=searchResults

#SPJ10

7 0

2 years ago

How do you solve -5+-3?

Paha777 [63]

- 5 + -3 = -8

hope this helps

when a negative number adds a negative number, it will be negative

when a negative number adds a positive number, whichever number (either positive or negative) take the sign of the bigger one

For example:

-4 + 3 = -1

-5 + 10 = 5

hope this helps

8 0

3 years ago

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