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Serjik [45]
3 years ago
14

What is the volume of the sphere. Round your answer to the whole number

Mathematics
2 answers:
jarptica [38.1K]3 years ago
6 0

Answer:

268 cm³

Step-by-step explanation:

nataly862011 [7]3 years ago
3 0

Answer:

268 cm^3

Step-by-step explanation:

The volume of a sphere can be calculated using the formula: 4/3 * pi * r^3. r represents the radius of the sphere. Substitute the radius, 4 cm, into the formula.

  • 4/3 * pi * (4)^3

Evaluate the exponent.

  • 4/3 * pi * 64

Use a calculator to multiply 4/3, pi, and 64 together.

  • 268.08

This rounds to 268 (whole number), so the volume of the sphere is 268 cm^3.

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3 years ago
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Determine where the real zeros of f(x)=x^4-2x^3+x-2 are located.
siniylev [52]

Answer:

a. at -1 & 2

Step-by-step explanation:

The given function is

f(x)=x^4-2x^3+x-2.

Equate the function to zero.

x^4-2x^3+x-2=0.

Factor by grouping;

x^3(x-2)+1(x-2)=0

Factor further;

(x-2)(x^3+1)=0

Apply the zero product property;

(x-2)=0,(x^3+1)=0

Solve for x;

x=2,x^3=-1

\Rightarrow x=2,x=\sqrt[3]{-1}

\therefore x=2,x=-1

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3 years ago
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In a particular year, the United States had a national debt of 1.1 x 1013 U.S. dollars.
kolezko [41]
The answer is to your question is 100:1
4 0
3 years ago
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
steposvetlana [31]
An arithmetic sequence with first term a, and a common distance d si as follows:

m, m+d, m+2d, m+3d, ...

(for example: 3, 8, 13, 18 .... m=3, d=5)


let \displaystyle{ a_n be the n'th term of the arithmeti sequence

m, m+d, m+2d, m+3d, ...


then

a_1=m\\\\a_2=m+d\\\\a_3=m+2d\\\\a_4=m+3d \\\\ .\\\\.

so it is clear that the n'th term, si given by :

a(n)=m+(n-1)d


compare the rule we found with the given rule A(n)=-3+(n-1)(-2.2)

it is clear that m=-3, and d=-2.2, 

so the sequence 

m, m+d, m+2d, m+3d, ...

becomes:

-3, -3-2.2, -3-2*2.2, -3-3*2.2, ....

so
 
-3, -5.2, -7.4, -9.6


the first term is -3, the fourth term is -9.6, the 10th term can be found by plugging in n=10 in the formula:


<span>A(10) = –3 + (10 – 1)(–2.2)=-3+9(-2.2)=-3-19.8=-22.8




remark, we could have use the formula directly and solve for A(1), A(4) and A(10), 

but with the explanations we see how we find derive the formula, and makes it easier to derive, even when we don't remember it properly.



Answer:

1st term=-3

2nd term=-9.6

10th term = -22.8</span>
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3 years ago
A store buys an item for $28 and sells it for $35. What is the percent markup?
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There is a 25% percent markup because it was marked up $7, which is 25% of $28

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