3 years ago

Translate: twice the sum of a number and 9 equals 7 into an equation

1 answer:

4 0

$equals\ 7\to=7\\sum\ of\ a\ number\ and\ 9\to n+9\ (n-the\ number)\\twice\ the\ sum\ ...\to2(n+9)\\\\Answer:\boxed{2(n+9)=7}\\\\solution:\\\\2(n+9)=7\ \ \ \ |divide\ both\ sides\ by\ 2\\n+9=3.5\ \ \ \ |subtract\ 9\ from\ both\ sides\\\boxed{n=-5.5}$

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Nat2105 [25]

The height of the ball initially is 54 inches. The common ratio has been provided which is 0.750.

The explicit formular for the geometric sequence is shown as;

$\begin{gathered} ar^{n-1} \\ \text{Where a is the first term in the sequence,} \\ r\text{ is the common ratio betw}een\text{ every successive term} \\ \text{And n is the nth term} \\ \text{The explicit formular for the height of the ball on the 10th bounce is;} \\ ar^{n-1} \\ 54\times(0.750)^{10-1} \\ 54\times(0.750)^9 \\ 54\times0.07508468\ldots \\ 4.0545 \end{gathered}$

The explicit formula is shown as;

54 x (0.750)^9

The rest is simply to solve for the height on the 10th bounce

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Law Incorporation [45]

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lord [1]

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