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Bad White [126]

3 years ago

9

A marching band has 64 members. The band director wants to arrange the band members into square formation. How many band members

will be in each row?

1 answer:

Rudik [331]3 years ago

3 0

Well, you would have to divide 64 by 4 because there are 4 sides to a square. 64 divided by 4 is 16. So, there would be 16 band members in each row.

Hope this helped :D

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Determine whether set of values represents an inverse variation. If yes, identify the constant of variation and write an inverse

Natasha_Volkova [10]

SOLUTION

If the table represents an inverse variation, it means that y is inversely proportional to x, written as

$\begin{gathered} y\propto\frac{1}{x} \\ \propto is\text{ a sign of proportionality } \end{gathered}$

Removing the proportionality sign and introducing a constant k, we have

$\begin{gathered} y=k\times\frac{1}{x} \\ y=\frac{k}{x} \end{gathered}$

In the first column, we have x = -4 and y = 3.5. Substituting these values for x and y, we have

$\begin{gathered} y=\frac{k}{x} \\ 3.5=\frac{k}{-4} \\ k=3.5\times-4 \\ k=-14 \end{gathered}$

So, if it's an inverse variation, the relationship would be

$y=\frac{-14}{x}$

In the second column, x = -2 and y = 7.

Now lets substitute the value of x for -2. If we get y to be 7, then the relationship is an inverse variation

We have

$\begin{gathered} y=\frac{-14}{x} \\ y=\frac{-14}{-2} \\ y=7 \end{gathered}$

Since we got y = 7, the relationship is therefore an inverse variation.

The constant k = -14

The equation for the inverse variation is

$y=\frac{-14}{x}$

3 0

1 year ago

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions

Lady bird [3.3K]

Answer:

C: $\lim_{x \to 0} y \to -\infty$

Step-by-step explanation:

The y-axis is the asymptote, and G(x) approaches it as x is getting smaller and smaller.

Actually, even more accurate would be to write

$\lim_{x \downarrow 0} y \to -\infty$

The down arrow shows that x has to approach 0 from the positive side.

5 0

3 years ago

A cuboid has side lengths 3cm, 4cm and 7cm. A cylinder with a height double that of the longest side of the cuboid has the same

mart [117]

Step-by-step explanation:

Longest side of cuboid: 7cm

Height of cylinder:

2 × 7 = 14 cm

Volume of cuboid:

7x3x4=84 $cm^3$

Volume of cylinder:

$84=14\pi r^2 \\r=\sqrt{\frac{6}{\pi} } \ \ \ cm\\r=1.38 \ cm\\$

Surface area of the cylinder:

$\pi r^2 + 2 \pi r h$

$6+2\pi (\sqrt{\frac{6}{\pi} } ) (14)$

=128 cm^2

4 0

3 years ago

A mousetrap car is filmed as it runs the racecourse. The film includes 1,200 photo frames taken in 8 seconds. How many frames we

jarptica [38.1K]

Answer: 150 frames were taken.

4 0

3 years ago

Thank you for the help!

horrorfan [7]

Answer:

see explanation

Step-by-step explanation:

cosM = $\frac{adjacent}{hypotenuse}$ = $\frac{MN}{LM}$ = $\frac{8}{17}$

sinM = $\frac{opposite}{hypotenuse}$ = $\frac{LN}{LM}$ = $\frac{15}{17}$

tanM = $\frac{opposite}{adjacent}$ = $\frac{LN}{MN}$ = $\frac{15}{8}$

7 0

3 years ago