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strojnjashka [21]
3 years ago
11

A student has a rectangular block.It is 2 cm wide 3 cm tall and 25 cm long.It has a mass of 600 g.

Mathematics
1 answer:
SVEN [57.7K]3 years ago
6 0
Density = Mass x Volume
D = 600g x 150
D = 90,000
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Write the following series in sigma notation.<br> 7 + 16 + 25 +34 +43 +52 + 61
Solnce55 [7]

The series 7 + 16 + 25 +34 +43 +52 + 61 is an illusration of arithmetic series

The sigma notation of the series is: \sum\limits^7_{n=1} {9n - 2}

<h3>How to write the series in sigma notation?</h3>

The series is given as:

7 + 16 + 25 +34 +43 +52 + 61

The above series is an arithmetic series, with the following parameters

  • First term, a = 7
  • Common difference, d = 9
  • Number of terms, n = 7

Start by calculating the nth term using:

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

This gives

a(n) = 7 + (n - 1) * 9

Evaluate the product

a(n) = 7  - 9 + 9n

Evaluate the difference

a(n) = 9n - 2

So, the sigma notation is:

\sum\limits^7_{n=1} {9n - 2}

Read more about arithmetic series at:

brainly.com/question/6561461

3 0
3 years ago
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telo118 [61]
The answer is 14
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4 0
3 years ago
The sum of three numbers is 104. The first number is 10 less than the second. The third number is 4 times the second. What are t
AnnyKZ [126]

Answer:

The numbers are 9, 19 and 76.

Step-by-step explanation:

Let's take the second number and make it a variable, like x. Now let's find all the other numbers in terms of x.

The first number in terms of x:

x - 10

The second number in terms of x:

4x

If we add them all up, these 3 numbers in terms of x must be equal to 104, so:

x + (x - 10) + (4x) = 104 \\ x + x - 10 + 4x = 104 \\ 6x - 10 = 104 \\ 6x = 114 \\ x = 19

Now that we know the second number, we can find the other numbers since we already figured out their values in terms of x:

19 - 10 = 9

4 \times 19 = 76

The first number is 9, second number 19 and the third number 76.

6 0
3 years ago
78 square ft, height is 6ft what is the base
aniked [119]
If the height is 6ft then the base is 13ft.

78/6=13

Hope this helps. 
3 0
4 years ago
How do I answer this using the square root method? <br>-9(3x-2)^2=-225
dedylja [7]
\bf -9(3x-2)^2=-225\implies (3x-2)^2=\cfrac{-225}{-9}\implies (3x-2)^2=\cfrac{225}{9}&#10;\\\\\\&#10;3x-2=\sqrt{\cfrac{225}{9}}\implies 3x-2=\cfrac{\sqrt{225}}{\sqrt{9}}\implies 3x-2=\cfrac{15}{3}&#10;\\\\\\&#10;3x=\cfrac{15}{3}+2\implies 3x=\cfrac{21}{3}\implies x=\cfrac{21}{9}
8 0
3 years ago
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