Step-by-step explanation:
this is your answer.............
By taking advantage of characteristics between two <em>parallel</em> lines we conclude that the <em>linear</em> equation <em>parallel</em> to f(x) is g(x) = -(4/17) · x + 455/17.
<h3>How to determine the equation of a line parallel to another line</h3>
In accordance with the analytical geometry, two lines are <em>parallel</em> when they share the <em>same</em> slope (m) but <em>different</em> intercepts (b). <em>Linear</em> functions are usually are described by the following form:
y = m · x + b (1)
Where:
- x - Independent variable
- y - Dependent variable
Based on the given information, we conclude that g(x) has a slope of -4/17. Lastly, we use (1) and the given point to determine the intercept of the function:
27 = -(4/17) · (-1) + b
b = 455/17
By taking advantage of characteristics between two <em>parallel</em> lines we conclude that the <em>linear</em> equation <em>parallel</em> to f(x) is g(x) = -(4/17) · x + 455/17.
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Answer:
Step-by-step explanation:
i didnt exactly answer this but i found someone who did
(pasted) i still hope it helps
Let x and (40L-x) represent the 20% and 4% solutions respectively
Mixing the 20% and 1% to form 40L of 15% solution
.20x + .04(40L-x) = .15*40L
.16x = .11*40L
x = .11*40L/.16
x = 27.5L, the amount of the 20% solution.
12.5L,the amount of the 4% solution (40L - 27.5L)
CHECKING our Answer
.20*27.5L + .04*12.5L = 5.5L + .5L = 6L = .15*40L
Which tells us incidentally there is 6L of disinfectant in the final solution.
The number of different integers there are for such condition to hold is; 4.
<h3>
How many integers satisfy the given condition?</h3>
According to the task content, the square of the square of such integers must be a two-digit number, that is, less than or equal to 99.
The numbers in discuss, x must satisfy;
x⁴ < 99.
The numbers in this regard are therefore, -2, -3, 2, 3.
Read more on perfect squares;
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Given that :
log3=0.477 , log4=0.602 and log5=0.699
Now , as you know that
We have to find the value of
So,=
= 
Now Putting the values of log3, log4 and log5 in the above expression
=1.0079/0.699
=1.5436..
=1.544 (approx)
So, the value of is 1.544(approx).
