The expression can be simplified as:
k^3(k7/5)^-5
= k^(3+-5) * (7/5)^-5
(Collecting the powers of k at one side and the constants at other side)
= k^-2 * (5/7)^5
(Solving thr integer powers)
= k^-2 * (3125/16807)
We are given equation 2x+3y=9xy.
A linear equation is a equation that has maximum degree of the equation as 1.
Degree is the maximum power(exponent) of the variables.
If two variables are being multiplied together in a term, we can find power of the that term by adding powers of those variables.
In the given equation, on the left side we have two terms 2x and 3y, each opf the variable x, and y has power 1 and right side of the eqaution we have term 9xy. There x and y variables are being multiplied together.
So, the total power of the term would be 1+1=2.
So, the degree of the given equation would be 2.
Because degree of the given equation is not 1. Therefore, given equation is not a linear eqaution and it is a non-linear equation.
Pi/6 = 180°/6 = 30°
This produces a triangle that has 30-60-90 angles.
Its short leg will measure = y = sinΘ
Its long leg will measure = x = √1-y² = sin(2Θ)
Its hypotenuse will measure = 1
Tangent Θ = opposite / adjacent or short leg / long leg
Tan(pi/6) = 1/3 √3
It invalidates his hypothesis because it is possible for the time a trip takes to depend on the distance that is traveled during the trip.
Option C is the right answer.
The missing graph has been attached with the answer.
<h3>What is a Scatter Plot ?</h3>
These are Cartesian Points and it represents relationship between two variables.
It is given that
Will's Hypothesis is time can never be a dependent variable.
Although from the graph plotted it can be seen that the time is dependent on distance travelled and
the in a scatter plot , the dependent variable is plotted on y axis and here the time is plotted on y axis ,
therefore the scatter plot invalidate Willis’s hypothesis.
It invalidates his hypothesis because it is possible for the time a trip takes to depend on the distance that is traveled during the trip.
Option C is the right answer.
To know more about Scatter Plot
brainly.com/question/13984412
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Answer:
A
Step-by-step explanation:
