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Norma-Jean [14]
2 years ago
10

a beach ball has a diameter of 18 inches. what is the approximate volume, rounded to the nearest whole number, of the Inflated b

each ball? Use 3.14 for pie A.) 24,417 in cube B.) 1,017 in cube C.) 9,156 in cube D.) 3,052 in cube
Mathematics
1 answer:
tino4ka555 [31]2 years ago
7 0
Hello!

A beach ball is in the shape of a sphere

To find the volume of a sphere you use the equation

V =  \frac{4}{3}  \pi  r^{3}

V is volume
r is radius

Put in the values you know and 3.14 for pi

V =  \frac{4}{3} * 3.14 *  18^{3}

Cube 18

V =  \frac{4}{3} * 3.14*5832

Multiply

V = 24416.64

Round to the nearest whole number

V = 24417

The answer is A)24,417

Hope this helps!
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Answer:

a6,-3

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Step-by-step explanation:

8 0
2 years ago
Let P2 be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by 10x2+4xâ1, 3xâ4x2+3, and
lord [1]

I suppose

H=\mathrm{span}\{10x^2+4x-1,3x-4x^2+3,5x^2+x-1\}

The vectors that span H form a basis for P_2 if they are (1) linearly independent and (2) any vector in P_2 can be expressed as a linear combination of those vectors (i.e. they span P_2).

  • Independence:

Compute the Wronskian determinant:

\begin{vmatrix}10x^2+4x-1&3x-4x^2+3&5x^2+x-1\\20x+4&3-8x&10x+1\\20&-8&10\end{vmatrix}=-6\neq0

The determinant is non-zero, so the vectors are linearly independent. For this reason, we also know the dimension of H is 3.

  • Span:

Write an arbitrary vector in P_2 as ax^2+bx+c. Then the given vectors span P_2 if there is always a choice of scalars k_1,k_2,k_3 such that

k_1(10x^2+4x-1)+k_2(3x-4x^2+3)+k_3(5x^2+x-1)=ax^2+bx+c

which is equivalent to the system

\begin{bmatrix}10&-4&5\\4&3&1\\-1&3&-1\end{bmatrix}\begin{bmatrix}k_1\\k_2\\k_3\end{bmatrix}=\begin{bmatrix}a\\b\\c\end{bmatrix}

The coefficient matrix is non-singular, so it has an inverse. Multiplying both sides by that inverse gives

\begin{bmatrix}k_1\\k_2\\k_3\end{bmatrix}=\begin{bmatrix}-\dfrac{6a-11b+19c}3\\\dfrac{3a-5b+2c}3\\\dfrac{15a-26b+46c}3\end{bmatrix}

so the vectors do span P_2.

The vectors comprising H form a basis for it because they are linearly independent.

4 0
2 years ago
Estimated quotient of 119÷23​
masha68 [24]

Answer:

5...................

8 0
1 year ago
Read 2 more answers
5. the price of an ipod dropped from $299.99 to $180.55. what was the percent decrease in price? (round to nearest hundredth per
max2010maxim [7]
If you would like to know what was the percent decrease in price, you can calculate this using the following steps:

x% of $299.99 is $180.55
x% * 299.99 = 180.55
x/100 * 299.99 = 180.55
x = 180.55 * 100 / 299.99
x = 60.19%

100% - 60.19% = 39.81%

The correct result would be 39.81%.
3 0
2 years ago
Suppose that 40 batteries are shipped to an auto parts store, and that 4 of those are defective. A fleet manager then buys 8 of
Assoli18 [71]
From the given above, we will include the case in which 3 and all 4 defectives are included in the purchase. 

For 3:
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For 4:
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Adding these numbers will give us an answer of 1566873.

7 0
2 years ago
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