The domain of this equation is the lowest x value to the highest x value. For example: lowest is -4 and highest is 3. You would write it as [-4,3]
For this equation, the domain is (-infinity,infinity) because there is no lowest or highest x value.
1/3 ln(<em>x</em>) + ln(2) - ln(3) = 3
Recall that 
, so
ln(<em>x</em> ¹ʹ³) + ln(2) - ln(3) = 3
Condense the left side by using sum and difference properties of logarithms:
Then
ln(2/3 <em>x</em> ¹ʹ³) = 3
Take the exponential of both sides; that is, write both sides as powers of the constant <em>e</em>. (I'm using exp(<em>x</em>) = <em>e</em> ˣ so I can write it all in one line.)
exp(ln(2/3 <em>x</em> ¹ʹ³)) = exp(3)
Now exp(ln(<em>x</em>)) = <em>x </em>for all <em>x</em>, so this simplifies to
2/3 <em>x</em> ¹ʹ³ = exp(3)
Now solve for <em>x</em>. Multiply both sides by 3/2 :
3/2 × 2/3 <em>x</em> ¹ʹ³ = 3/2 exp(3)
<em>x</em> ¹ʹ³ = 3/2 exp(3)
Raise both sides to the power of 3:
(<em>x</em> ¹ʹ³)³ = (3/2 exp(3))³
<em>x</em> = 3³/2³ exp(3×3)
<em>x</em> = 27/8 exp(9)
which is the same as
<em>x</em> = 27/8 <em>e</em> ⁹
Answer:
Step-by-step explanation:5 pounds
35/13.3=2.63. 1.9x2.63=5kg
Answer:
Research Hypothesis solves the problem by .....
Step-by-step explanation:
Research Hypothesis is a set of assumed statements, consisting certain variables & their relationships
The variables whose relationship are to be checked by hypothesis testing, are independent & dependent variables. The causal variable(s) are independent variables & the effected variable is the dependent variable.
- Null Hypothesis : It is the hypothesis assuming no statistically significant relationship between independent & dependent variables
- Alternate Hypothesis : It is the hypothesis assuming statistically significant relationship between independent & dependent variable
Example : To check the research question, of relationship between research variables, by formulating hypothesis assumed statement
Y = b0 + b1X ; where
Y = dependent variable, X = independent variable, b0 = autonomous, b1 = X intercept on Y
- H0 : b1 = 0 {No significant relationship between X & Y}
- H1 : b1 ≠ 0 {Significant relationship between X & Y}
This way : Research hypothesis solves the problem by - formulating hypothesis assumptions, which recognise the variables & their relations. At last, acceptance of null or alternate hypothesis gives the final research conclusion & interpretation
