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Alexeev081 [22]
3 years ago
9

I need some help with this question

Mathematics
1 answer:
Tems11 [23]3 years ago
7 0

Check the picture below.

namely, is the volume of the rectangular prism Paraffin, equals or less than the volume of the cone made from it?

\bf  \textit{volume of a rectangular prism}\\\\ V=Lwh~~ \begin{cases} L=length\\ w=width\\ h=height\\[-0.5em] \hrulefill\\ L=8\\ w=6\\ h=4 \end{cases}\implies V=8\cdot 6\cdot 4\implies \boxed{V=192} \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ h=25 \end{cases}\implies V=\cfrac{\pi (5)^2(25)}{3}\implies \boxed{V\approx 654.5}

well, clearly the cone has enough room to take the 192 cm³.

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It is given that y varies inversely as x^2. If x is decreased by 50%, find the percentage change in y.
vova2212 [387]

Answer:

300%

Step-by-step explanation:

Given

y\ \alpha\ \frac{1}{x^2}

Required

Find the percentage change in y when x decreased by 50%

First, convert to equation

y\ = \ \frac{k}{x^2}

Where k is the constant of proportionality

When x decreased by 50%

Y = \frac{k}{(x - 0.5x)^2}

Y = \frac{k}{(0.5x)^2}

Y = \frac{k}{0.25x^2}

Expand

Y = \frac{1}{0.25} * \frac{k}{x^2}

Substitute \frac{k}{x^2} for y

Y = \frac{1}{0.25} * y

Y = 4 * y

Y = 4 y

The percentage change is then calculated as:

\%Change = \frac{Y - y}{y} * 100\%

\%Change = \frac{4y - y}{y} * 100\%

\%Change = \frac{3y}{y} * 100\%

\%Change = 3 * 100\%

\%Change = 300\%

<em>The percentage in y is 300%</em>

7 0
3 years ago
The solutions to the equation x4 + 2x3 + 24 = 13x2 + 14x occur at x = –4, x = –2, x = 1, and x = 3. At what points does the grap
Naya [18.7K]

Answer:

C. (–4, 0), (–2, 0), (1, 0), and (3, 0).

Step-by-step explanation:

The points where the graph intersects the x axis have y coordinates of zero and the given x coordinates.

(–4, 0), (–2, 0), (1, 0), and (3, 0) is the answer.

4 0
3 years ago
HELP ME PLEASE SOMEBODY
In-s [12.5K]

\huge\boxed{Solution=B,(3,2)}

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Ally babysat nine times. She earned $15, $20, $10, $12, $20, $16, $80, and $18. Find the mean number of dollars that Ally earned
eduard

Answer:

The mean is 21.62 which is approximately 22

Step-by-step explanation:

mean= 15+20+10+12+20+16+80+18/8=21.62 because

mean= sum of all numbers/numbers mentioned

7 0
3 years ago
What is the formula to get combined mean value​
lesya692 [45]

Answer:

The combined mean can be calculated by plugging in our numbers into the formula given: [(57*82)+(23*63)/(57+23)]=76.5

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3 years ago
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