We know that
<span>A vessel full of water weighs 16.5kg
</span><span>when the vessel is half full, it weights 10.5kg
so
16.5 kg-10.5 kg=6 kg is the weight of half water
the weight of full water=6kg*2------> 12 kg
so
the weight of the vessel=</span>A vessel full of water-the weight of a full water
the weight of the vessel=16.5 kg-12kg=4.5 kg
the answer is
the weight of the vessel is 4.5 kg
<span>
</span>
<span>5.16666667 feet
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Answer:
<em>y = 8.25x</em>
Step-by-step explanation:
<u>Linear Modeling</u>
Some events can be modeled as linear functions. If a situation comes where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.
The linear function can be expressed in the slope-intercept format:

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

Let's use linear modeling to represent Steven's earnings he makes babysitting. Call y the money he charges by x hours of work.
We know he charges y1=$33 for x1=4 hours, and y2=$57.75 for x2=7 hours. The ordered pairs are (4,33) and ( 7, 57.75)
Computing the equation of the line we have:

Operating:



y = 8.25x
There is a proportional relationship.
Answer:

Step-by-step explanation:
1 Equation is given, so solving for "x" would mean an expression for "x", where
x = SOMETHING
First, we need to isolate x, so we need to take "8y" to the other side, we have:

Now, since we don't have "x" isolated yet, we need to take out the 2, so we will divide both sides by 2 to get x isolated. Shown below:

So, x has this expression 
Answer:
-3 = ln(0.05)
Step-by-step explanation:
Taking the natural log of both sides of the equation gives ...
-3·ln(e) = ln(0.05)
The natural log of e is 1, so the equation becomes ...
-3 = ln(0.05)