What is the slope intercept

Mathematics

1 answer:

Pie3 years ago

4 0

Answer:

rise is 20 and run is 5 so slope is 4.

I think the slope y-intercept is -5

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A factory produces some batteries daily. 7/8 of the batteries are packaged immediately. 2/3 of the

frozen [14]

Answer:

$\frac{1}{24}$

Step-by-step explanation:

Let the total number of batteries produced daily be represented by x.

7/8 of the batteries are packaged immediately.

So the total number of packaged batteries = $\frac{7x}{8}$

Remaining batteries = $x-\frac{7x}{8}$

= $\frac{x}{8}$

Two third of the remaining batteries are sent to charity.

So the total number of batteries sent to charity= $\frac{2}{3} * \frac{x}{8}$

= $\frac{x}{12}$

Remaining batteries are faulty.

So the total number of faulty batteries = $\frac{x}{8} - \frac{x}{12}$

= $\frac{3x - 2x}{24}$

= $\frac{x}{24}$

So the faction of batteries which are faulty =

= $\frac{x}{24} \div x$

= $\frac{1}{24}$

3 0

3 years ago

Need to know the population in 2015

Margarita [4]

$\bf P=1110.9e^{kt}\quad 
\begin{cases}
P=1200 &\textit{in thousands}\\
t=2 &\textit{in 2002}
\end{cases}\implies 1200=1110.9e^{k2}
\\\\\\
\cfrac{1200}{1110.9}=e^{2k}\implies ln\left( \frac{1200}{1110.9} \right)=ln(e^{2k})\implies ln\left( \frac{1200}{1110.9} \right)=2k
\\\\\\
\cfrac{ln\left( \frac{1200}{1110.9} \right)}{2}=k\implies 0.0385755\approx k\implies 0.0386\approx k\\\\
-------------------------------\\\\$

$\bf P=1110.9e^{0.0386t}\qquad 
\begin{cases}
t=14\\
\textit{year 2015}
\end{cases}\implies P=1110.9e^{0.0386\cdot 14}
\\\\\\
P\approx 1907.0747\implies about\ 1,907,075\textit{ once rounded up}$

3 0

3 years ago

The number line shows four points, which point represents the approximate location of √92?

Hitman42 [59]

Answer: Point D

Step-by-step explanation:

92 is in between 81 and 100, so $9 < \sqrt{92} < 10$