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10 votes
10 votes
need help with this problem drop down1: open, closeddrop down2: 45, 50, 54drop down3: left, rightdrop down4: 45, 50, 54

need help with this problem drop down1: open, closeddrop down2: 45, 50, 54drop down-example-1
need help with this problem drop down1: open, closeddrop down2: 45, 50, 54drop down-example-1
need help with this problem drop down1: open, closeddrop down2: 45, 50, 54drop down-example-2
need help with this problem drop down1: open, closeddrop down2: 45, 50, 54drop down-example-3
User Toymakerii
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1 Answer

11 votes
11 votes

Step-by-step explanation:

To get the equation to solve the question,

Then

We will have to analyze the question as follow

The capacity of the pipet is 481ml

The rate at which the liquid drain 5ml per second

The chemist wants at most 211 ml to remain in the pipet

Thus,

we can set up the inequality as follow


481-5t\le211

Thus

We can solve for t, where t is the number of seconds


\begin{gathered} \text{collecting like terms} \\ 481-211\le5t \\ 270\le5t \\ 5t\ge270 \\ t\ge(270)/(5) \\ t\ge54 \end{gathered}

For the solution in interval notation


\begin{bmatrix}\mathrm{Solution\colon}\: & \: t\ge\: 54\: \\ \: \mathrm{Interval\: Notation\colon} & \: \lbrack54,\: \infty\: )\end{bmatrix}

This is a closed circle at 54 because of the symbol. The region to the right of 54 is shaded

The graph of the inequality is given below

need help with this problem drop down1: open, closeddrop down2: 45, 50, 54drop down-example-1
User Gjaa
by
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