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Anni [7]
2 years ago
13

What is the sum of the arithmetic series of odd numbers below 1+3+5+...+27

Mathematics
1 answer:
AnnZ [28]2 years ago
6 0

Answer:

196

Step-by-step explanation:

1+2+3+4+......+25+26+27 = (1+27) + (3+25) + (5+23)+(7+21) + (9+19) + (11+17) + (13+15)

= 28 x 7 = 196

It's like area of trapezoid of bases: 1, 27 and height of 14

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How to step by step multiple 15×77
solong [7]

Answer:

multiply 77 by 10 which is 770 then you multiply it by 5 which is half of 10 so 385 then add them together and you get 1155

3 0
3 years ago
The functions f(x) = −(x − 1)2 5 and g(x) = (x 2)2 − 3 have been rewritten using the completing-the-square method. apply your kn
ale4655 [162]

The vertex of the function f(x) exists (1, 5), the vertex of the function g(x) exists (-2, -3), and the vertex of the function f(x) exists maximum and the vertex of the function g(x) exists minimum.

<h3>How to determine the vertex for each function is a minimum or a maximum? </h3>

Given:

$\mathrm{f}(\mathrm{x})=-(\mathrm{x}-1)^{2}+5$ and

$\mathrm{g}(\mathrm{x})=(\mathrm{x}-2)^{2}-3$

The generalized equation of a parabola in the vertex form exists

$y=a(x-h)^{2}+k

Vertex of the function f(x) exists (1, 5).

Vertex of the function g(x) exists (-2, -3).

Now, if (a > 0) then the vertex of the function exists minimum, and if (a < 0) then the vertex of the function exists maximum.

The vertex of the function f(x) exists at a maximum and the vertex of the function g(x) exists at a minimum.

To learn more about the vertex of the function refer to:

brainly.com/question/11325676

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8 0
2 years ago
A 21 inch piece of steel is cut into three pieces so that the second piece is twice as long as the first, the third piece is 3 i
mestny [16]
3f+3=t
s=2f
21=f+s+t                       

21=f+(2f)+(3f+3)
21=6f+3
18=6f

3=first
6=second
12=third


8 0
2 years ago
The fitness club opens with 80 members each month the membership Increases by 15 members which equation represents the relations
creativ13 [48]

Answer:

y=15x+80

Step-by-step explanation:

where x is the monthly membership increase and y is the total amount of memberships

3 0
3 years ago
The inequality below represents h, the number of hours Ellie need to work this week to earn at least $360 by the end of the mont
Gnom [1K]

Answer:

The answer to your question is 10 hours.

Step-by-step explanation:

Inequality                            12h + 240 > 360

Solve the inequality as if it was an equation

                                           12h > 360 - 240

                                           12h > 120

                                           h > 120 / 12

                                           h = 10 hours

Let's evaluate some number of hours

If h = 3                        12(3) + 240 > 360

                                  36 + 240 > 360

                                          276 > 360     Incorrect, she needs to work more

                                                                 than 3 hours

If h = 5                         12(5) + 240 > 360

                                   60 + 240 > 360

                                           300 > 360     Incorrect, she needs to work more

                                                                 than 5 hours

If h = 7                          12(7) + 240 > 360  

                                    84 + 240 > 360

                                          324 > 360      Incorrect she needs to work more

                                                                 than 7 hours

If h = 11                          12(11) + 240 > 360  

                                     132 + 240 > 360

                                              372 > 360   Correct, she needs to work at least

                                                                   10 hours.                                              

7 0
3 years ago
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