Step-by-step explanation:
Heavy Metal "music" impacts negatively the long term memory, if at least the ability to access it.
while harmonic music has no blocking effect or maybe even strengthens the long term memory and the ability to access it.
here 3 remarks.
first 2 scientifically from psychology : memory works mostly associative. that means brains do not store absolute information like a digital computer, but always in combination and association with other pieces of information. if there is nothing else to remember (like a more or less random pattern of sound effects for that the brain cannot find a rule or concept for), there are no associations with presented pieces of information, and the storage and access to it is much harder and restricted.
and - loud crashing and seemingly random noise triggers the panic mode in our brains. and panic is the mode favoring pure instinct and suppressing cognitive functions.
and finally, personally, it just confirms what I literally feel when listening to such music : it destroys at that moment any ability to keep a straight thought, prolonged exposure gives me the feeling that something gets broken inside my brain and thought processes.
I suspect that this is exactly the feeling that the fans of this kind of music are after (kind of like most drugs), but I am not surprised that there actually is something broken in the brain (again, as with drugs).
To find the Least Common Denominator (LCD) of rational expressions, we choose the higher power of exponent for similar factors and for the factors they don't share, we just multiply it to find the LCD. It's best to show this by answering the problems provided.
For the first one, we have
![\frac{1}{2} | \frac{4}{x^{2}}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20%7C%20%5Cfrac%7B4%7D%7Bx%5E%7B2%7D%7D%20)
since both denominators 4 and x² do not share any common factor, we just multiply them to find the LCD. So, we have
A. 4x².
For the next item, we have
![\frac{8}{5b} | \frac{12}{7b^{3}c}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7B5b%7D%20%7C%20%5Cfrac%7B12%7D%7B7b%5E%7B3%7Dc%7D%20)
we first check the coefficients of the denominators 5 and 7. Since they don't share any common factor, the LCD must have a coefficient of 7(5) = 35. As for the expressions, b and b³c, since they share a common factor of b, we choose the one with the greater exponent. Finally, we have an LCD of 35(b)(c) =
35b³c.
Following the same rules, the LCD of 3m/ (m + n) and 3n/ (m - n) is
(m + n)(m -n ).
Adding rational expressions is similar to adding fractions. First, we get the LCD of the expression then express it so that both expressions have a common denominator.
So, we have
![\frac{7}{3a} + \frac{2}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B3a%7D%20%2B%20%5Cfrac%7B2%7D%7B5%7D%20)
![\frac{7(5)}{15a} + \frac{2(3a)}{15a}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%285%29%7D%7B15a%7D%20%2B%20%5Cfrac%7B2%283a%29%7D%7B15a%7D%20)
![\mathbf{\frac{35 + 6a}{15a}}](https://tex.z-dn.net/?f=%20%5Cmathbf%7B%5Cfrac%7B35%20%2B%206a%7D%7B15a%7D%7D%20)
For the next item,
![\frac{a}{a+3} + \frac{a+5}{4}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Ba%2B3%7D%20%2B%20%5Cfrac%7Ba%2B5%7D%7B4%7D%20)
![\frac{4(a)}{4(a+3)} + \frac{(a+5)(a+3)}{4(a+3)}](https://tex.z-dn.net/?f=%5Cfrac%7B4%28a%29%7D%7B4%28a%2B3%29%7D%20%2B%20%5Cfrac%7B%28a%2B5%29%28a%2B3%29%7D%7B4%28a%2B3%29%7D%20)
![\frac{4a + (a+5)(a+3)}{4(a+3)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4a%20%2B%20%28a%2B5%29%28a%2B3%29%7D%7B4%28a%2B3%29%7D%20)
![\frac{4a + a^{2} +8a + 15}{4(a+3)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4a%20%2B%20a%5E%7B2%7D%20%2B8a%20%2B%2015%7D%7B4%28a%2B3%29%7D%20)
![\mathbf{\frac{a^{2} + 12a + 15}{4(a+3)}}](https://tex.z-dn.net/?f=%20%5Cmathbf%7B%5Cfrac%7Ba%5E%7B2%7D%20%2B%2012a%20%2B%2015%7D%7B4%28a%2B3%29%7D%7D%20)
Lastly, we have
![9 + \frac{x-3}{x+2}](https://tex.z-dn.net/?f=%209%20%2B%20%5Cfrac%7Bx-3%7D%7Bx%2B2%7D%20)
![\frac{9(x+2)}{x+2} + \frac{x-3}{x+2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B9%28x%2B2%29%7D%7Bx%2B2%7D%20%2B%20%5Cfrac%7Bx-3%7D%7Bx%2B2%7D%20)
![\frac{9x + 18 + x - 3}{x+2}](https://tex.z-dn.net/?f=%5Cfrac%7B9x%20%2B%2018%20%2B%20x%20-%203%7D%7Bx%2B2%7D)
You need to find the vertex of the function.
The easiest way to do this is to graph it on a calculator like desmos.
but you can find the line of symmetry with this equation. x=-b/2a
x=-112/2(-16)
x= 3.5
Then plug that into the equation.
-16(3.5)^2+112(3.5)+30
226
226ft is the maximum height.
Answer:
9 Joules
Step-by-step explanation:
600g to kg is .6kg
15m/s= velocity
KE=mass*velocity
.6*15=9
Answer:
Option a is the correct answer.
Step-by-step explanation:
Let x,y and z represent the marks scored in first,second and third tests respectively.
Total score is 239, then:
x+y+z = 239 -------1
Combined scores of first and second tests is 59 more than that of third test,then:
x+y = 59+z
x+y-z = 59 ---------2
The score of second test is 25 more than that of third test, then:
y = 25+z
0x+y-z = 25 --------3
The matrix equation for this situation is:
![\left[\begin{array}{ccc}1&1&1\\1&1&-1\\0&1&-1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%261%261%5C%5C1%261%26-1%5C%5C0%261%26-1%5Cend%7Barray%7D%5Cright%5D)
![\left[\begin{array}{c}x&y&z\end{array}\right]=](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%26y%26z%5Cend%7Barray%7D%5Cright%5D%3D)
.