For proportionality constant problems, set up the equation as,
,
Where x and y are the two variables you are comparing and <em>K </em>is the proportionality constant. If we take <em>Caramel Corn </em>values as x and <em>Cheddar Corn </em>values as y, and then solve for <em>K </em>for each ratio lines, we will get the same answer. Let's check.
,
, and
.
Hence, the proportionality constant, in this case <em>K,</em> is equal to 
or 1.5. First answer choice is correct.
ANSWER: 1.5
Answer: 3.15 mm²
Step-by-step explanation:
First, we multiply the height by the base: 4.2 x 1.5 = 6.3
But, since this is a triangle, we have to divide this number by 2: 6.3 / 2 = 3.15
Hope this helps you!
The true statements are :
the average monthly temperatures of New Orleans are not as varied as that of Indianapolis.
The median of the average monthly temperatures of New Orleans is equal to the upper quartile of the average monthly temperature of Indianapolis.
<h3>What are the true options?</h3>
A box plot is used to study the distribution and level of a set of scores. The box plot consists whiskers. The whiskers represents the minimum and maximum scores.
On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.
Range for New Orleans = 85 - 50 = 35
Range for Indianapolis = 75 - 25 = 50
Median for New Orleans = 70
Upper quartile for Indianapolis = 70
To learn more about box plots, please check: brainly.com/question/27215146
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Quadrant General Form of Point in this Quadrant Example
I (+, +) (5, 4)
II (−, +) (−5, 4)
III (−, −) (−5, −4)
IV (+, −) (5, −4)
This equation can be solved graphically by plotting the equations
f(x) = 3^x
and
g(x) = 5x-1.
The x-coordinate of the point(s) of intersection is the solution.
_____
On my graphing calculator, I find it easier to locate x-intercepts, so I would rewrite the equation as
3^x -(5x -1) = 0
and plot the function
h(x) = 3^x -(5x -1)
The x-intercept(s) would be the solutions. (There are two: x≈0.577, x=2.)
