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givi [52]
3 years ago
11

What is the length of a side of a cube with a volume of 216 in3

Mathematics
2 answers:
anyanavicka [17]3 years ago
7 0
\sf volume~of~a~cube = side^3\\\\v = 216\\\\s^3 = 216\\\\s^3 = 6\times 6\times 6\\\\s^3 = 6^3\\\\\boxed{s = 6}

s = 6 in
MrMuchimi3 years ago
7 0
I hope you have a wonderful day    <span>a≈</span>6<span>in
 </span>



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True or False: The null hypothesis should be rejected at a 10% level of significance when testing whether age has any effect on
olga_2 [115]

Answer:

False

Step-by-step explanation:

The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. It is not necessary that all null hypothesis will be rejected at 10% level of significance. To determine the criteria for accepting or rejecting a null hypothesis we should also consider p-value.

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Adam is building a computer desk with a separate compartment for the computer. The compartment for the computer is a rectangular
Alik [6]

Answer:

The width of the computer compartment is 9 inches

The length of the computer compartment is 33 inches

The height of the computer compartment is 27 inches

Step-by-step explanation:

The given data on the rectangular prism compartment are;

The volume of the rectangular prism, V = 8019 cubic inches

The length of the compartment, l = 24 inches + The width, w

The height of the compartment, h = 18 inches + The width, w

Therefore, we have;

l = 24 + w

h = 18 + w

V = l × h × w

∴ V = (24 + w) × (18 + w) × w = w³ + 42·w² + 432·w = 8019

w³ + 42·w² + 432·w - 8019 = 0

By graphing the above function with MS Excel, we have one of the solution is w = 9

∴ (w - 9) is a factor of w³ + 42·w² + 432·w - 8019 = 0

Dividing, we get;

w² + 51·w + 891

w³ + 42·w² + 432·w - 8019 = 0

w³ - 9·w²

     51·w² - 459·w

                 891·w

                 891·w + 8019

                             0

Therefore,

w³ + 42·w² + 432·w - 8019 = 0

w³ + 42·w² + 432·w - 8019  = (x - 9)·(w² + 51·w + 891) = 0

The determinant of the factor, w² + 51·w + 891 = 51² - 4×1×891 = -963, therefore, the it has complex roots

Therefore, the real solution of (x - 9)·(w² + 51·w + 891) = 0 is w = 9

The width of the computer compartment, w = 9 inches

The length of the computer compartment, l = 24 inches + 9 inches = 33 inches

The height of the computer compartment, h = 18 inches + 9 inches = 27 inches.

3 0
3 years ago
How can I factor -2x^2+2x+4=0 ?
Shtirlitz [24]
Because all are a multiple of 2, you can factor out 2, 2(-x^2+x+2)=0
4 0
3 years ago
The function f(x) = –StartRoot x EndRoot is represented by the graph. What is the range of the given function? {y | all real num
ICE Princess25 [194]

Answer:

  {y | y ≤ 0}

Step-by-step explanation:

The vertical extent of the graph is all values of y less than or equal to zero:

  {y | y ≤ 0}

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