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3 years ago

Find the volume of a right circular cone that has a height of 9.9 in and a base with a

Mathematics

1 answer:

valentinak56 [21]3 years ago

3 0

Answer:

volume ≈ 264.3 inches³(nearest tenth)

Step-by-step explanation:

volume of a cone = 1/3πr²h

where

h = height

r = radius

h = 9.9 inches

r = 10.1/2 = 5.05 inches

volume of a cone = 1/3πr²h

volume = 1/3 × π × 5.05² × 9.9

volume = 1/3 × π × 25.5025 × 9.9

volume = 1/3 × π × 252.47475

volume = 84.15825π

volume = 264.256905

volume ≈ 264.3 inches³(nearest tenth)

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Consider the table representing a rational function. Which equation could represent a vertical asymptote of the graph of the fun

AleksAgata [21]

Answer:

Step-by-step explanation:

According to the given table, we see that for <em>x = -1</em>, the function is not defined, that means that the rational function has a restriction there, and such restriction is shown as an asymptote in the graph of the function.

So, basically, we could say that the given rational function has one asymptote and it's at x = -1, which is a vertical asymptote, because all forms like x = k, are vertical lines, that is, they are parallel to the vertical axis.

Therefore, the right answer is the third choice.

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4 years ago

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Three years after a company was founded, its assets were $11,283,500. Ten years after being founded, its assets had grown to $21

grigory [225]

Answer:

Step-by-step explanation:

Given

Step one:

Company's initial asset value = $11,283,500

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Step two

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$21,794,600- $11,283,500= $10,511,100

Step three

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3 years ago

What is the domain of this exponential function?

STALIN [3.7K]

The last option
All real numbers

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3 years ago

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Artemon [7]

Answer:

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Step-by-step explanation:

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3 years ago

he U.S. Department of Transportation reported the accompanying data on the number of speeding-related crash fatalities during ho

iren [92.7K]

Answer:

New year Standard deviation = 2255.25

Step-by-step explanation:

Years: 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003

New Year: 141 142 178 72 219 138 171 134 210 70

Memorial: 191 174 185 197 138 183 156 190 188 181

Formula:

$Mean = \displaystyle\frac{\text{Sum of all observation}}{\text{Total number of observations}}$

$S.D = \sqrt{\displaystyle\frac{\sum(x_i - \bar{x})^2}{n}}$

a) Mean = $\frac{1475}{10} = 147.5$

$S.D = \sqrt{\frac{42.25+ 30.25+ 930.25+5700.25+ 5112.25+ 90.25+ 552.25+ 182.25+ 3906.25+ 6006.25}{10}}\\= \sqrt{\frac{22552.5}{10} }\\= 2255.25$

b) The standard deviation of the memorial day will be less than the new years day because for memorial day, the data points are not varying as in case of new year. Basically, we can say the spread in case of new year is more as compared to memorial day. Hence, standard deviation of memorial year is less than the new years day.

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3 years ago