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spin [16.1K]
3 years ago
5

The volume of a sphere is 45001 m3. Find the length of the radius of the great circle.

Mathematics
1 answer:
Scilla [17]3 years ago
6 0

Answer:

\large \boxed{\text{22.07 m}}

Step-by-step explanation:

The formula for the volume (V) of a sphere is:

V = ⁴/₃πr³

We can use this equation to calculate the radius (r).

\begin{array}{rcl}45001 & = & \dfrac{4}{3} \pi r^{3}\\\\33750 & = &\pi r^{3}\\10740 & = &r^{3}\\r & = & \textbf{22.07 m}\\\end{array}\\\text{The radius of the great circle is $\large \boxed{\textbf{22.07 m}}$}

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What is the explicit formula for this sequence?
SVEN [57.7K]

Answer:

The correct answer is b.)

Step-by-step explanation:

Given:

Sequence  -7, -4, -1, 2, 5.......  => a₁ = -7, a₂ = -4, a₃ = -1, a₄ = 2 and a₅ = 5

We conclude that this sequence is arithmetic series.

First we must find difference d:

d = a₂ - a₁ = a₃ - a₂ = -4 - (-7) = -1 - (-4) = -4 + 7 = -1 + 4 = 3

d = 3

The formula for n-th term of the arithmetic series is:

aₙ = a₁ + (n-1) d

aₙ = -7 + (n-1) 3

God with you!!!

4 0
3 years ago
Solve 2x + 4 &gt; 16<br><br>A. x &gt; 10<br><br>B. x &gt; 6<br><br>C. n &lt; 6<br><br>D. x &lt; 10​
Alexandra [31]

Answer:

The answer is B ( X>6 )

Step-by-step explanation:

2x+4= 16

2x = 16 - 4

2x = 12

x = 12/2

x= 6

x>6

8 0
3 years ago
I need help please, i dont understand
jenyasd209 [6]

9514 1404 393

Answer:

  (a)  none of the above

Step-by-step explanation:

The largest exponent in the function shown is 2. That makes it a 2nd-degree function, also called a quadratic function. The graph of such a function is a parabola -- a U-shaped curve.

The coefficient of the highest-degree term is the "leading coefficient." In this case, that is the coefficient of the x² term, which is 1. When the leading coefficient of an even-degree function is positive, the U curve has its open end at the top of the graph. We say it "opens upward." (When the leading coefficient is negative, the curve opens downward.)

This means the bottom of the U is the minimum value the function has. For a quadratic in the form ax²+bx+c, the horizontal location of the minimum on the graph is at x=-b/(2a). This extreme point on the curve is called the "vertex."

This function has a=1, b=1, and c=3. The minimum of the function is where ...

  x = -b/(2·a) = -1/(2·1) = -1/2

This value is not listed among the answer choices, so the correct choice for this function is ...

  none of the above

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The attached graph of the function confirms that the minimum is located at x=-1/2

_____

<em>Additional comment</em>

When you're studying quadratic functions, there are few formulas that you might want to keep handy. The formula for the location of the vertex is one of them.

8 0
2 years ago
What is the greatest common factor of 30, 48, and 2?
arlik [135]

Answer:

<h3>The greatest common factor of 30, 48 and 2 is 2</h3>

Step-by-step explanation:

<h2>I HOPE IT HELPS </h2>
7 0
3 years ago
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Lana71 [14]

Answer:

answer is 80

Step-by-step explanation:

7200 / 90 = 80

4 0
3 years ago
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