Since no base is stated, assume base 10
remember
loga-logb=log(a/b)
also
translates to
and log(a^z)=zlog(a)
log25x-log5=2 means
translates to
simplies to
translates to
expands to
100=5x
divide both sides by 5
20=x
Using it's concept, the standard deviation of the data-set is of 34.2.
<h3>What are the mean and the standard deviation of a data-set?</h3>
- The mean of a data-set is given by the <u>sum of all values in the data-set, divided by the number of values</u>.
- The standard deviation of a data-set is given by the <u>square root of the sum of the differences squared between each observation and the mean, divided by the number of values</u>.
Having this in mind, and inserting the data-set in the calculator, it is found that:
- The standard deviation is of 34.2.
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Answer:
(0, -4)
Step-by-step explanation:
We can just substitute the y's like this: 2x - 4 = -2x - 4
Move like terms to one side by adding 2x to both sides
2x - 4 = -2x - 4
+ 2x + 2x
4x - 4 = - 4
Add 4 to both sides
4x - 4 = - 4
+ 4 + 4
4x = 0
Divide both sides by 4
4x/4 = 0/4
x = 0
Plug in the new x into one of the original equations
y = 2(0) - 4
y = 0 - 4
y = - 4
<span>The sinusoidal curves are shown in the picture attached.
Note that the two waves have the same amplitude (same "height"), the same wavelength (same distance from one peak to the next one) and therefore the same frequency, but different phase (they start in different points).
When you sum two different sinusoidal curves with the same amplitude and frequency, but different phase you get a sinusoidal wave with the same frequency as the original curves, but a different amplitude and a different phase.
Therefore, the correct answer is
graph B).
</span>
Answer:
y/2
y*2
y-2
y+2
y%2
y^2
<h3>Operations on Algebraic Expressions: </h3>
- The three major components of an algebraic expression are variables, constants, and coefficients. Addition, subtraction, multiplication, and division are the four fundamental operations. We solve both difficult and straightforward equations using operations on algebraic expressions.
- There are three categories of algebraic expressions: monomial, binomial, and polynomial or multi-term expressions.
- These are the algebraic terms:
- Alphabetic letters alone or in combination with numbers or fractions are the variables.The numbers that are connected to the variables in a single term are called coefficients.
- Constants: Single integers or numbers that are typically connected to other terms through elementary operations.Examples include 8xyz, 25x+12y+9, 2yz23zy, and 3a+2b+5c.
Algebraic Expression Types
There are three different categories for algebraic expressions. As follows:
- Expressions with a monomial or single word. For instance, 4xy2, 3ab, 7p, 5xyz, etc., where 3,4,5,7 are the coefficients and x, y, z, a, b, p are the variables.
- Expressions with two terms or a binomial. For instance, 2xyx, pq5p2, etc.
- Multi-term or polynomial expressions. as in 2x+5y4, 2xy2+3y+1, etc.
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