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Ipatiy [6.2K]
3 years ago
15

Find the ninth partial sum of infinite sumnation 3i-4

Mathematics
1 answer:
snow_tiger [21]3 years ago
3 0
\bf \sum\limits_{i=1}^9\ 3i-4\implies \sum\limits_{i=1}^9\ 3i-\sum\limits_{i=1}^9\ 4\implies 3\sum\limits_{i=1}^9\ i-\sum\limits_{i=1}^9\ 4
\\\\\\
3\cdot  \cfrac{9(9+1)}{2}-(9\cdot 4)

and surely you know how much that is.
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Plz help it’s important
m_a_m_a [10]

Answer:

  • hemisphere volume: 262 m³
  • cylinder volume: 942 m³
  • composite figure volume: 1204 m³

Step-by-step explanation:

A. The formula for the volume of a hemisphere is ...

  V = (2/3)πr³

For a radius of 5 m, the volume is ...

  V = (2/3)π(5 m)³ = 250π/3 m³ ≈ 261.799 m³

__

B. The formula for the volume of a cylinder is ...

  V = πr²h

For a radius of 5 m and a height of 12 m, the volume is ...

  V = π(5 m)²(12 m) = 300π m³ ≈ 942.478 m³

__

C. Then the total volume is ...

  V = hemisphere volume + cylinder volume

  V = 261.799 m³ +942.478 m³ = 1204.277 m³

__

Rounded to the nearest integer, the volumes are ...

  • hemisphere volume: 262 m³
  • cylinder volume: 942 m³
  • composite figure volume: 1204 m³

_____

As a rule, you only want to round the final answers. Here, the numbers are such that rounding the intermediate values still gives the correct final answer. That is not always the case.

6 0
3 years ago
Jill sold half of her comic books and then bought sixteen more. She now has 36. With how many did she begin?
Alex777 [14]

Answer:

\frac{1}{2}x + 16 = 36

40 comic books

Step-by-step explanation:

Let x be the Jill comic books.

Given:

Jill sold half of her comic books and then bought sixteen more. She now has 36.

\frac{1}{2}\ (Jill\ books) + 16\ more\ books = 36

\frac{1}{2}\ (x) + 16 = 36

\frac{1}{2}x + 16 = 36

Therefore the algebraic equation of the given statement.

\frac{1}{2}x + 16 = 36--------(1)

Now we solve above equation for x.

Subtract by 16 both side of the equation 1.

\frac{1}{2}x + 16 -16 = 36 -16

\frac{1}{2}x = 20

Multiply by 2 both side of the above equation.

2\times \frac{1}{2}x =2\times 20

x = 40

Therefore, Jill had 40 comic books.

8 0
3 years ago
Yes help pls giving brainlest
lesya [120]

Answer:

1 and 7/12 hours

Step-by-step explanation:

2 and 1/3 is the whole. You need to subtract 3/4. To bring both of these to the same denominator, multiply each fraction by the others denominator. That means 1/3 is now 4/12 and 3/4 is now 9/12. They can now be subtracted. 2 and 4/12 - 9/12 = 1 and 7/12.

5 0
3 years ago
Read 2 more answers
Is that right? <br><br> If not please help me out.
Alex73 [517]

Answer:

Yeah.it is right

Step-by-step explanation:

7 0
3 years ago
Log3+logx=5/2<br>find x​
Naya [18.7K]

Answer:

x = 105.4

Step-by-step explanation:

We are given;

Log 3 + log x = 5/2

We are required to find x;

We are going to use the laws of logarithms to solve for x

That is;

log a + lob b = log(ab)

Therefore;

Log 3 + log x = 5/2

we get;

log 3x = 2.5

But;

Given, logₐb= x , then b = a^x

In this case;

log 3x = 2.5

we get , 3x = 10^2.5

That is , 3 x = 316.227

                x = 105.4

Thus, the value of x is 105.4

3 0
3 years ago
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