Considering the volume of the cone, it is found that each triathlete sloshed out 9.5 cm³ of water.
<h3>What is the volume of a cone?</h3>
The volume of a cone of <u>radius r and height h</u> is given by:
V = 1/3 x r² x h
In this problem, the radius and the height are given as follows:
r = 3.5 cm, h = 7 cm.
Hence the total volume is:
V = 1/3 x 3.5² x 7 = 28.6 cm³
The triathletes sloshed out 1/3 of that, hence:
1/3 x 28.6 = 9.5 cm³.
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A person sold 100 shares of a stock at a loss of 40%.
selling price for the 100 shares was $3,000
Let the stock was bought at $x then we can write

Hence Amount paid for the Stock was $5000
The resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.
According to the given question.
We have an equation

So, to find the resulting equation of the above equation we need to simplify.
First we will take LCD



Multiply both the sides by x.

Again multiply both the sides by x



Factorize the above equation
⇒3x(x+6)+2(x+6) = 0
⇒(3x + 2)(x+6) = 0
⇒ x = -2/3 or x = -6
Hence, the resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.
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<u>Answer:</u>
<u>Step-by-step </u><u>Explanation</u><u>:</u>
The sequence is following some rule. And the rule is: Multiplying the term with 4 to get the next term. Like:
Similarly, the next terms are:
The terms are <u>6</u><u>4</u><u>,</u><u> </u><u>2</u><u>5</u><u>6</u><u>,</u><u> </u><u>1</u><u>0</u><u>2</u><u>4</u> which matches with Option D. And that's the correct answer