A field is 3645 feet long.<br><br> What is the length of the field in yards?

Using graph paper determine the line described by the given point and slope (0,0) and -2/3

timurjin [86]

Answer:

your graph is gonna have a horizontal line crossing the y axis at (0,3)

4 0

4 years ago

Bubble wrap sells in sheets, and each sheet has 1 million individual spherical bubbles, each with a diameter of 0.01 m. What is

Triss [41]

Answer: The total volume of air contained in the bubbles of one sheet of bubble wrap is about 0.5 cubic meters.

Step-by-step explanation:

Volume of sphere :-

$V=\dfrac{4}{3}\pi r^3$ , where r is the radius of the sphere.

Given : Diameter of the bubble = 0.01 m

Then Radius of the bubble = $\dfrac{0.01}{2}=0.005\ m$

Volume of each bubble:-

$V=\dfrac{4}{3}(3.14) (0.005)^3$

Also, Number of bubbles in each sheet = 1,000,000

Then , the total volume of air contained in the bubbles of one sheet of bubble wrap will be :-

$\dfrac{4}{3}(3.14) (0.005)^3\times1,000,000=0.52333333\approx0.5\ \text{cubic meters}$

Hence, the total volume of air contained in the bubbles of one sheet of bubble wrap is about 0.5 cubic meters.

5 0

3 years ago

If the point (2, -10) lies on the graph of a direct variation, which represents the direct variation equation?

Zanzabum

$\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x}{2},\stackrel{y}{-10})~~ \textit{we know } \begin{cases} x=2\\ y=-10 \end{cases}\implies -10=k2\implies \cfrac{-10}{2}=k\implies -5=k \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill y=-5x~\hfill$