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patriot [66]
3 years ago
10

The new dolphin tank at the aquarium has a radius of 75 feet and a height of 20 feet. What is the volume of the dolphin tank? Ro

und to the nearest tenth.
Mathematics
1 answer:
Travka [436]3 years ago
8 0

Answer:

9,420.0 cubic feet

Step-by-step explanation:

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Please help, What is the nth term rule of the quadratic sequence below?<br> -4,1,12,29,52,81,116
Evgesh-ka [11]

Answer:

29-12 is a 17 difference

52-29 is a 23 difference (adding 6 to the number 17)

81-52 is a 29 difference (adding 6 to the number 23)

116-81 is a 35 difference (adding 6 to the number 29)

Step-by-step explanation:

7 0
3 years ago
Write an equation in standard form of the hyperbola described.
marishachu [46]

Check the picture below, so the hyperbola looks more or less like so, so let's find the length of the conjugate axis, or namely let's find the "b" component.

\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill

\begin{cases} h=0\\ k=0\\ a=2\\ c=4 \end{cases}\implies \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 4^2=2^2+b^2\implies 16=4+b^2\implies \underline{12=b^2} \\\\\\ \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{12}\implies \boxed{\cfrac{x^2}{4}-\cfrac{y^2}{12}}

5 0
2 years ago
Distribute the expression.<br> 5(282-38+4)
kifflom [539]

Answer:

10s²-15s+20 is yr answer..

Step-by-step explanation:

  • 5(2s²-3s+4)
  • 10s²-15s+20

<h3>stay safe healthy and happy.</h3>
6 0
3 years ago
1) Diego measured the number of cups of water in 15 bottles of various sizes. He
Ivan

Answer:

8\frac{3}{4} cups.

Step-by-step explanation:

From the line plot made by Diego which represents bottle sizes in cups, we can see that the most common size is the bottle having 1¾ cups (there are 5 of this sizes).

If he poured all 5 of this bottle sizes in 1 container, he would have the following:

1\frac{3}{4} * 5 = \frac{7}{4}*5 = \frac{35}{4}

= 8\frac{3}{4} cups.

6 0
3 years ago
I need help with #5 please
Alika [10]

 

Distance from a point to a line (Coordinate Geometry)

Method 1: When the line is vertical or horizontal , the distance from a point to a vertical or horizontal line can be found by the simple difference of coordinates . Finding the distance from a point to a line is easy if the line is vertical or horizontal. We simply find the difference between the appropriate coordinates of the point and the line. In fact, for vertical lines, this is the only way to do it, since the other methods require the slope of the line, which is undefined for evrtical lines.

Method 2: (If you're looking for an equation) Distance = | Px - Lx |

Hope this helps!

4 0
3 years ago
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