Answer:
The approximated length of the cables that stretch between the tops of the two towers is 1245.25 meters.
Step-by-step explanation:
The equation of the parabola is:

Compute the first order derivative of <em>y</em> as follows:

![\frac{\text{d}y}{\text{dx}}=\frac{\text{d}}{\text{dx}}[0.00035x^{2}]](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7Bd%7Dy%7D%7B%5Ctext%7Bdx%7D%7D%3D%5Cfrac%7B%5Ctext%7Bd%7D%7D%7B%5Ctext%7Bdx%7D%7D%5B0.00035x%5E%7B2%7D%5D)

Now, it is provided that |<em>x </em>| ≤ 605.
⇒ -605 ≤ <em>x</em> ≤ 605
Compute the arc length as follows:


Now, let



Plug in the solved integrals in Arc Length and solve as follows:


Thus, the approximated length of the cables that stretch between the tops of the two towers is 1245.25 meters.
The standard deviation is the square root of the variance
so if the variance is 196, then the standard deviation is the sqrt of 196, which is 14
Answer:
Please read the answer below.
Step-by-step explanation:
1. Let's represent the relationship between red pepper flakes, in teaspoons, to tomato mix, in cups in a table
Red pepper (teaspoons) 1/2 1 1 1/2 2 2 1/2 3 3 1/2 4 4 1/2 5
Tomato mix (cups) 2 4 6 8 10 12 14 16 18 20
2. Let's represent the relationship between red pepper flakes, in teaspoons, to tomato mix, in cups writing a equation:
t = amount of tomato mix cups
r = amount of red pepper flakes teaspoons
As we can see in the table,
<u>t = 4r</u>
Answer:
1/3
Step-by-step explanation:
There are 6 possible outcomes when rolling 1 die
1,2,3,4,5,6
P ( 1 or 5) = number of times 1 or 5 happens / total outcomes
= 2/ 6
= 1/3
Answer:
D
Step-by-step explanation:
the perimeter of a shape is the sum of it's sides
in a square all sides have the same length
here all sides are 1 inch
so 1+1+1+1 = 4 inches which is D