Answer:
41 1/4
Step-by-step explanation:
Change 16 1/2 to a mixed number
16 1/2 = (2*16+1)/2 = 33/2
Change 2 1/2 to a mixed number = (2*2+1)/2 = 5/2
Multiply the turns per inch by the inches
33/2 * 5/2 =165/4
Change this back to a mixed number
4 goes into 165 41 times
41*4 = 164 there is 1 left over
41 1/4
The representation of the equation given in the task content; 2/5 v + 3/4 = 2/3x² as a s sentence is; The sum of Two-fifths of a number, v and quarters is equal to two-thirds of the square of the number x.
<h3>What is the representation of the equation as given in the task content?</h3>
It follows from the convention that the following fractions can be named as follows;
- 2/5 means two-fifths.
- 3/4 means three-quarters.
- 2/3 means two-thirds.
Hence, it follows from the iterations above and how they relate to the equation given in the task content that the representation is; The sum of Two-fifths of a number, v and quarters is equal to two-thirds of the square of the number x.
Read more on equations as words;
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We have the equation:

We know two points and we will use them to calculate the parameters a and b.
The point (0,3) will let us know a, as b^0=1.

Now, we use the point (2, 108/25) to calcualte b:
![\begin{gathered} y=3\cdot b^x \\ \frac{108}{25}=3\cdot b^2 \\ 3\cdot b^2=\frac{108}{25} \\ b^2=\frac{108}{25\cdot3}=\frac{108}{3}\cdot\frac{1}{25}=\frac{36}{25} \\ b=\sqrt[]{\frac{36}{25}} \\ b=\frac{\sqrt[]{36}}{\sqrt[]{25}} \\ b=\frac{6}{5} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%3D3%5Ccdot%20b%5Ex%20%5C%5C%20%5Cfrac%7B108%7D%7B25%7D%3D3%5Ccdot%20b%5E2%20%5C%5C%203%5Ccdot%20b%5E2%3D%5Cfrac%7B108%7D%7B25%7D%20%5C%5C%20b%5E2%3D%5Cfrac%7B108%7D%7B25%5Ccdot3%7D%3D%5Cfrac%7B108%7D%7B3%7D%5Ccdot%5Cfrac%7B1%7D%7B25%7D%3D%5Cfrac%7B36%7D%7B25%7D%20%5C%5C%20b%3D%5Csqrt%5B%5D%7B%5Cfrac%7B36%7D%7B25%7D%7D%20%5C%5C%20b%3D%5Cfrac%7B%5Csqrt%5B%5D%7B36%7D%7D%7B%5Csqrt%5B%5D%7B25%7D%7D%20%5C%5C%20b%3D%5Cfrac%7B6%7D%7B5%7D%20%5Cend%7Bgathered%7D)
Then, we can write the equation as:
This doesn’t make any sense