The string would have to be 4 feet long to have a frequency of 400cps because each foot=100cps
Pretty simple. He needed 6.7 gallons to fill the tank. At 3.80/gallon, he spent $25.46
Answer:
The solution is:
![-\frac{1}{2}x\ge \:4\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-8\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-8]\end{bmatrix}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B2%7Dx%5Cge%20%5C%3A4%5Cquad%20%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Ax%5Cle%20%5C%3A-8%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%28-%5Cinfty%20%5C%3A%2C%5C%3A-8%5D%5Cend%7Bbmatrix%7D)
The number line graph of the solution is also attached below.
From the graph, it is clear that the 2nd number line represents the solution set for the inequality.
Step-by-step explanation:
Given the inequality

Let us solve the inequality

Multiply both sides by -1 (reverse the inequality)

Simplify

Multiply both sides by 2

Simplify

Thus, the solution is:
![-\frac{1}{2}x\ge \:4\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-8\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-8]\end{bmatrix}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B2%7Dx%5Cge%20%5C%3A4%5Cquad%20%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Ax%5Cle%20%5C%3A-8%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%28-%5Cinfty%20%5C%3A%2C%5C%3A-8%5D%5Cend%7Bbmatrix%7D)
The number line graph of the solution is also attached below.
From the graph, it is clear that the 2nd number line represents the solution set for the inequality.
The polynomial
arranged in descending order is 
Step-by-step explanation:
We need to rewrite the polynomial
in descending order.
For writing the polynomial in descending order we arrange the exponents of variables from largest exponent to the smallest exponent.
The given polynomial is:

The descending order of the polynomial is:

So, the polynomial
arranged in descending order is 
Keywords: Polynomials
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