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Snowcat [4.5K]
1 year ago
13

Given the volume is 105 inches³ for an 8 pound bowling ball, find the radius of the bowling ball,

Mathematics
1 answer:
mariarad [96]1 year ago
7 0

Answer:

2.92

Step-by-step explanation:

V=\frac{4}{3}\pi r^3 \\ \\ 105=\frac{4}{3}\pi r^3 \\ \\ r^3=\frac{105}{\frac{4}{3}\pi} \\ \\ r=\sqrt[3]{\frac{105}{\frac{4}{3}\pi}}  \\ \\ r \approx 2.92

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What type of symmetry does this figure have?
BARSIC [14]
Rotational symmetry. Because you can rotate it and put a line through it and it would all look the same
4 0
3 years ago
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The stock's value dropped from $38.50 to $34.00.What negative number shows the change in value?
schepotkina [342]
$-4.50 change in value
5 0
3 years ago
<img src="https://tex.z-dn.net/?f=x%20%2B%20y%20%20%3D%2014%5C%5C%202x%20%2B%204y%20%3D%2018" id="TexFormula1" title="x + y = 1
alexgriva [62]

Answer:

x = 19, y = -5

Step-by-step explanation:

x + y = 14  => x= 14-y

2x + 4y = 18  => 2(x+2y)=18  => x+2y=9

x+2y=9 => (14 - y) + 2y = 9

14 + y = 9  => y = -5

x + (-5) = 14  => x=19

5 0
3 years ago
For what value of the constant c is the function fcontinuous on (−[infinity], [infinity])?
Arlecino [84]

Answer:

For c=\frac{1}{7} the function f(x) is continuous on (-\infty,\infty).

Step-by-step explanation:

We have the following function

f(x) = \left\{        \begin{array}{ll}            cx^2+5x & \quad x

For the function f(x) to be continuous on (-\infty,\infty) it is sufficient to have continuity at x = 6, we need to ensure that as x approaches 6, the left and right limits match, this means that

\lim_{x \to 6^{-} } f(x)=\lim_{x \to 6^{+} } f(x)=f(x),

which holds if and only if

c\left(6\right)^2+5\left(6\right)=\left(6\right)^2-c\left(6\right)\\36c+30=36-6c\\42c=6

namely if c=\frac{1}{7}.

6 0
3 years ago
An amphitheater charges $74 for each seat in Section A, $59 for each seat in Section B, and $28 for each lawn seat. There are th
Ivenika [448]

Answer:

<h2>(4x+z)=13000------1</h2><h2>(4x+z)13000=503000----2</h2>

Step-by-step explanation:

let x be the number of seats in A,

y be the number of seats in B, and

z be the number of lawn seats.

y=3x

the total number of seats is given by

(x+y+z)=13000

put y=3x

(x+3x+z)=13000

(4x+z)=13000------1

also

(4x+z)13000=503000----2

hence the systems of equation is

(4x+z)=13000------1

(4x+z)13000=503000----2

7 0
3 years ago
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