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Elis [28]
4 years ago
14

What is the sum of the finite arithmetic series? 26 + 29 + 32 + 35 + 38 + 41 + 44

Mathematics
2 answers:
salantis [7]4 years ago
7 0
Two hundred forty five
Leya [2.2K]4 years ago
4 0
The sum of the finite arithmetic series of <span> 26 + 29 + 32 + 35 + 38 + 41 + 44 is 245. Arithmetic series is a sequence of number such that the difference between any term and the previous term is a constant number. When we sum a finite number of terms in the arithmetic series, we get the finite arithmetic series. </span>
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Please help asap :( This is my "Final grade" My Teacher wants a full explanation included ! on how i got the answer. )
Mrac [35]

If the whole diameter of sphere is 6 inch(means radius is 3 inch) & thickness of material is 1 inch, so the radius of the hollow part should be 2 inch (3-1=2)

The total volume of the ball will be;

= Total volume - Volume of hollow part

= 4/3πr³ - 4/3πr³

= 4/3 × 3.14 × (3)³ - 4/3×3.14×(2)³

= 4 × 3.14 × 9 - 4/3 × 3.14 × 8

= 113.04 - 33.52

= 79.52

If the density of the material is 3.25 g/in3, then the density of 79.52 inch³ should be;

= 79.52 × 3.25

= 258.44 g

Now, if there are 8 spheres in one box, the weight if box will be;

= 258.44 × 8

= 2,067.52 g

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Ahh! Finally done with this, if you have any doubt just do ask me :)

3 0
3 years ago
Solving the equation and something to do with log
Anastaziya [24]

Answer:

m= 1/2.

Step-by-step explanation:

To solve this, we must make the bases equivalent. We can do this by finding the common base which is 5.

We know that 125= 5³ and 25=5², which will help us in this equation. We can rewrite the equation substituting this for the original numbers:

5^{3(2m)} = 5^{2(m+1)} Distribute the exponents to get:

5^{6m} = 5^{2m+2}

Now, we can simply ignore the '5' and solve for 'm':

6m= 2m+2

4m= 2

m= 1/2.

3 0
3 years ago
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Nostrana [21]
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Naddik [55]

Answer:

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Step-by-step explanation:

3 0
3 years ago
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ra1l [238]
What are you trying to measure?
6 0
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