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aleksandr82 [10.1K]
3 years ago
12

Add first 15 natural numbers and find the average? Solution with formula?

Mathematics
2 answers:
NeTakaya3 years ago
7 0

Good morning ☕️

Answer:

<h2>8</h2>

Step-by-step explanation:

<em><u>the formula :</u></em><em> (sum of 15 consecutive term of an arithmetic sequence)</em>

1+2+3+...+15=\frac{15*(15+1)}{2} =\frac{15*16}{2}=15*8\\

<u><em>Now,</em></u>

Average=\frac{15*8}{15} =8

kicyunya [14]3 years ago
5 0

Answer:

120

Step-by-step explanation:

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2(8r+5)-3=4(4r-1)+11 is it an only solution or a no solution or infinite solution
pogonyaev

Answer:

Infinitely many solutions.

Step-by-step explanation:

Let's begin by carrying out the indicated multiplications, which must be done before any addition or subtraction:

2(8r+5)-3=4(4r-1)+11  becomes  16r + 10 - 3 = 16r - 4 + 11.

Subtracting 16r from both sides, we get 10 - 3 = - 4 + 11, or 7 = 7

This is always true, so we can conclude that this equation has infinitely many solutions.

3 0
3 years ago
Write the equation of the line in slope-intercept that has passes through the points (2,-5) and (8, 13). ​
const2013 [10]

Answer:

The equation of the straight line in Slope- intercept form

 y = 3 x - 11

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given points are   (2,-5) and (8, 13)

The Slope of the line

            m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{13-(-5)}{8-2} = \frac{18}{6} =3

Equation of the line having slope 'm' and given point

        y - y_{1} = m (x - x_{1} )

(x₁ , y₁)   =    ( 2, -5 )  

        y - (-5) = 3 (x - 2 )

       y + 5 = 3x - 6

The equation of the straight line in slope intercept form

    y = m x + c

       y = 3 x - 6-5

       y = 3 x - 11

<u><em>Final answer:</em></u>-

The equation of the straight line in Slope- intercept form

 y = 3 x - 11

     

8 0
3 years ago
Jonathan measured 2 cups of flour into a bowl on the counter. Then he spilled part of it, and now there is only 3/8 cup left. Ho
sveticcg [70]
He spilled 1 and 5/8 cups because 2-3/8= 1 5/8. To check that, use 1 5/8+ 3/8= 2 cups.
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3 years ago
When writing a geometric proof, which angle relationship could be used alone to justify that two angles are congruent?
Allisa [31]
Vertical angles i believe is the right answer to this problem
5 0
3 years ago
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What does h equal in the equation S=2πr2+2πrh?
Troyanec [42]

A

Step-by-step explanation:First, subtract

2

π

r

2

from each side of the equation to isolate the

h

term:

S

−

2

π

r

2

=

2

π

r

h

+

2

π

r

2

−

2

π

r

2

S

−

2

π

r

2

=

2

π

r

h

+

0

S

−

2

π

r

2

=

2

π

r

h

Now, divide each side of the equation by

2

π

r

to solve for

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:

S

−

2

π

r

2

2

π

r

=

2

π

r

h

2

π

r

S

−

2

π

r

2

2

π

r

=

2

π

r

h

2

π

r

S

−

2

π

r

2

2

π

r

=

h

h

=

S

−

2

π

r

2

2

π

r

Or

h

=

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2

π

r

−

2

π

r

2

2

π

r

h

=

S

2

π

r

−

2

π

r

2

2

π

r

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4 0
4 years ago
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