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Eva8 [605]
3 years ago
5

Can you helo me with number 8?​

Mathematics
2 answers:
kow [346]3 years ago
8 0

Answer:

all work is shown and pictured

NikAS [45]3 years ago
6 0

Answer:

p = \frac{2}{5}

Step-by-step explanation:

3(5p - 3) = 5(p - 1)

<em><u>Try getting the x's all on one side</u></em>

15p - 9 = 5p - 5    <em>Start by adding 9 to both sides</em>

     + 9         + 9

15p = 5p + 4   <em>Then subtract 5p from both sides</em>

-5p   -5p

10p = 4     <em>Divide both sides by 10 to get p</em>

\frac{10p}{10} = \frac{4}{10}

p = \frac{4}{10} or \frac{2}{5}

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The graph below shows the hours students spent studying and their science test scores.
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Answer:

4.5

Step-by-step explanation:

Just took the Test

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The Tetrahedron Superyacht designed by Jonathan Schwinge is a regular tetrahedron with edges 20 m long. The distance r from one
shusha [124]
A tetrahedron is a triangular pyramid. It has four triangular faces and four vertices. 

In the question, we are told that the length of the edges are all equal = 20m and the length from one corner to the center of the base = 11.5m

We sketch a diagram of a tetrahedron with the given measurement as shown below

To find the height, we will use the Pythagoras theorem

20² = h² + 11.5²
h² = 20² - 11.5²
h² = 267.75
h = √267.75
h = 16.36 (rounded to two decimal places)

8 0
3 years ago
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What is the geometric mean of 2 and 25? Rounded to the nearest tenth
Drupady [299]
The geometric mean is \sqrt{2*25} = \sqrt{50}= 5\sqrt{2}=7.1.
3 0
3 years ago
Round 478.54 to the nearest tenth
Schach [20]
A tenth is the number that occurs after the decimal
If the number after the tenth is five or higher, then you round up
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In this case, the Ume after the tenth is exactly four, so the value of the tenth stays the same
So your answer is 478.5
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An external sinusoidal force is applied to an oscillating system which can be modelled by a model spring and a damper. The gener
Anettt [7]

Answer:

The amplitude of the oscillation in this oscillating system, after reaching the steady-state, is 3.984.

Step-by-step explanation:

Assume you know a and b values, which you do not actually need to know to solve the question.

The given general solution of the equation is made up of three terms, namely:

  • A constant value (equal to 4),
  • a cosine term: 3.984cos(2nt-B)
  • a cosine, exponential term: 2.81exp(-8.58t)cos(at + o)

This means that, after a certain time (for large values of time "t"), when the system reaches its <u>steady-state</u>, the following will happen to these parts, respectively:

  • The constant value will remain as 4. It shall not cancel, but it shall not provide any oscillation either, and, in turn, no amplitude nor frequency.
  • The second term will always be a cosine, since it is a periodic function. Its amplitud is "3.984" and its frequency is "2n" radians/second. Its phase is actually "B".
  • This third term is not a periodic functon. It is made up of a periodic function multiplied by an exponential function, whose exponent is negative (for any positive value of time variable "t"). This exponential function approaches to zero when its exponent approaches to minus infinity. So, after a certain time -or, in other words, once the steady-state is eventually reached- the product will be a delimited function (cosine, whose absolute value is always than "1") multiplied by zero. That is, this third term, as a whole, approaches to zero for large, infinite values of time "t".

All in all, once the steady-state is reached, the solution shall remain as:

x = 4+ 3.984cos(2nt-B).

The only oscillation would be that of the cosine term, and its amplitude will be 3.984, an actual value given by the question itself.

4 0
3 years ago
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