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11111nata11111 [884]
3 years ago
15

Sarah biked 13 miles south from her house to the library. Then she turned and biked 10 miles

Mathematics
1 answer:
Tanya [424]3 years ago
4 0

Answer:

16.40

Step-by-step explanation:

use Pythagorean theorem

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Factorise the following equation: <img src="https://tex.z-dn.net/?f=6x%5E2%2B17x%2B5" id="TexFormula1" title="6x^2+17x+5" alt="6
RSB [31]

Answer:

(3x+1)(2x+5) is the answer

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Q8 Q21.) Find the amount invested at each rate.
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See the attached picture:

6% = 1200
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Choose which line represents the line of best fit.
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A line which represents the line of best fit is: C. Line B.

<h3>What is a line of best fit?</h3>

A line of best fit is sometimes referred to as a trend line and it can be defined as a statistical or analytical tool that is commonly used in conjunction with a scatter plot, in order to determine whether or not there is any form of association and correlation between a data set.

<h3>The characteristics of a line of best fit.</h3>

In Mathematics, there are different characteristics that are used for determining the line of best fit on a scatter plot and these include the following:

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4 0
1 year ago
Suppose you solved a second-order equation by rewriting it as a system and found two scalar solutions: y = e^5x and z = e^2x. Th
xenn [34]

Answer:

The solutions are linearly independent because the Wronskian is not equal to 0 for all x.

The value of the Wronskian is \bold{W=-3e^{7x}}

Step-by-step explanation:

We can calculate the Wronskian using the fundamental solutions that we are provided and their corresponding the derivatives, since the Wroskian is defined as the following determinant.

W = \left|\begin{array}{cc}y&z\\y'&z'\end{array}\right|

Thus replacing the functions of the exercise we get:

W = \left|\begin{array}{cc}e^{5x}&e^{2x}\\5e^{5x}&2e^{2x}\end{array}\right|

Working with the determinant we get

W = 2e^{7x}-5e^{7x}\\W=-3e^{7x}

Thus we have found that the Wronskian is not 0, so the solutions are linearly independent.

3 0
3 years ago
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