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1 year ago

Which of the following rational functions is graphed below?

Mathematics

1 answer:

lukranit [14]1 year ago

4 0

<h2> $1 \: root \: solving\: f(x) = 0 \\ x = 0 \\ \\ vertical \: asymptote \: at \\ x = 1 \: \: \: and \: \: \: x = - 4 \\ \\ f(x) = \frac{x}{(x + 4)(x - 1)}$ </h2><h2>Option C</h2>

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A can holds 4 golf balls. The diameter of each golf ball is 5 cm. What is the volume of the empty space inside the can?

forsale [732]

Answer:

Volume of the empty space in the can is 327.05 $cm^3$

Step-by-step explanation:

Given:

Number of golf ball the can holds = 4

Diameter of the golf ball = 5 cm

To Find:

Volume of the empty space in the can = ?

Solution:

Step 1: Finding the volume of one golf ball

Ball is shape of the sphere

So lets use the volume of the sphere formula

Volume of the golf ball = $\frac{4}{3}\pi r^3$

Radius = $\frac{5}{2}$ = 2.5 cm

Substituting the values

Volume of the golf ball

= $\frac{4}{3} \pi \times(2.5)^3$

= $\frac{4}{3} \pi \times (15.625)$

= $\frac{4}{3} \times 49.06$

= $\frac{196.24}{3}$

= 65.41

Step 2: Finding the volume of empty space of the can

volume of empty space of the can = volume of 5 golf ball

= 5 X 65.41

= 327.05

7 0

3 years ago

There is a pair of parallel sides in the following shape.<br> 9. 5. 3

pogonyaev

Answer:

area of composite shapes is area of rectangle plus area of square what do I know I'm just in 8th grad

5 0

2 years ago

The graph of a linear function passes through the points (2, 4) and (8, 10).

Keith_Richards [23]

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 2}}\quad ,&{{ 4}})\quad 
% (c,d)
&({{ 8}}\quad ,&{{ 10}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{10-4}{8-2}$

$\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\qquad 
\begin{array}{llll}
\textit{plug in the values for }
\begin{cases}
y_1=4\\
x_1=2\\
m=\boxed{?}
\end{cases}\\
\textit{and solve for "y"}
\end{array}$

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3 years ago

Containers that have different shapes can not have the same volume.<br> True<br> False

Goshia [24]

Answer:

true

Step-by-step explanation:

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3 years ago

16|r-5|=-32<br><br><br><br><br>HELP i suck at algebra plz

Ivan

Answer:

Step-by-step explanation:

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2 years ago