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2 years ago

10

Which best describes the association shown in the scatter plot?

1 answer:

Shkiper50 [21]2 years ago

4 0

Answer:

strong negative

Step-by-step explanation:

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Sedaia [141]

$\bf \begin{array}{cccccclllll}
\textit{something}&&\textit{varies directly to}&&\textit{something else}\\ \quad \\
\textit{something}&=&{{ \textit{some value}}}&\cdot &\textit{something else}\\ \quad \\
y&=&{{ k}}&\cdot&x
&& y={{ k }}x
\end{array}\\ \quad \\
$

and also

$\bf \begin{array}{llllll}
\textit{something}&&\textit{varies inversely to}&\textit{something else}\\ \quad \\
\textit{something}&=&\cfrac{{{\textit{some value}}}}{}&\cfrac{}{\textit{something else}}\\ \quad \\
y&=&\cfrac{{{\textit{k}}}}{}&\cfrac{}{x}
&&y=\cfrac{{{ k}}}{x}
\end{array}
$

now, we know that V varies directly to T and inversely to P simultaneously
thus $\bf V=T\cdot \cfrac{k}{P}$

so $\bf V=T\cdot \cfrac{k}{P}\qquad 
\begin{cases}
V=42\\
T=84\\
P=8
\end{cases}\implies 42=\cfrac{84k}{8}\implies 4=k
\\\\\\
V=\cfrac{4T}{P}\qquad now\quad 
\begin{cases}
V=74\\
P=10
\end{cases}\implies 74=\cfrac{4T}{10}\implies 185=T$

7 0

3 years ago

The volume of a cone is 3πx3 cubic units and its height is x units. Which expression represents the radius of the cone’s base, i

dalvyx [7]

Answer:

<em>r=3x</em>

Step-by-step explanation:

<u>The Volume of a Cone</u>

The volume of a cone of radius r and height h is:

$\displaystyle V=\frac{1}{3}\pi hr^2$

We are given the volume of a cone is

$V=3\pi x^3$

Equating:

$\displaystyle \frac{1}{3}\pi hr^2=3\pi x^3$

Multiplying by 3:

$\pi hr^2=9\pi x^3$

Simplifying by pi:

$hr^2=9 x^3$

Since h=x:

$xr^2=9 x^3$

Dividing by x:

$r^2=9 x^2$

Taking square roots:

$r=\sqrt{9 x^2}=3x$

Thus: r=3x

5 0

3 years ago

Read 2 more answers

For a given geometric sequence, the 9th term, a9, is equal to 43/256 and the 14th term, a14, is equal to 172. Find the value of

NeX [460]

Maybe solve by dividing. I think 5/6. Sorry math isn’t my strong suit. I’m good at reading.

5 0

3 years ago

ms. Omar runs the school tennis club. She has a bin of tennis balls and rackets. For every 5 tennis balls in the bin, there are

irina1246 [14]

Answer:

$a=\frac{5}{3}b\\\\or\\\\3a=5b$

Step-by-step explanation:

let a be the number of tennis balls.

let b be the number of tennis rackets.

We write determine the ratio of balls to rackets by dividing the number of balls by the number of rackets:

$\frac{a}{b}=\frac{5}3}\\\\a=\frac{5}{3}b$

For every one ball, there 5 thirds of a racket.

We plot this function on a graph to visualize our model;

4 0

3 years ago

Please help me due today

Keith_Richards [23]

Answer:

To find the answer consider that this is a right triangle and we can use the tangent function in order to find the value of x

remember the acronym soh cah toa.

to use the tangent function we divide the opposite and adjacent side that is what the oa stands for in toa

setting it up looks like this

tan 72° = $\frac{x}{8\\}$

solving for x gives us x= 8×tan 72°

which is about 24.62

Step-by-step explanation:

4 0

3 years ago