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xxMikexx [17]
2 years ago
12

HELP PLEASE IM BEGGING YOU

Mathematics
1 answer:
andriy [413]2 years ago
6 0

Answer:

75th term in the sequence is 227.

Step-by-step explanation:

75 term of A.P is

a_75= a+ (n-1)d

Given series is 5,8,11,14.

hence a= 5 d= 8-5 = 3 , a_75.

a_75 = 5+(75-1)3

= 5+ (74)3

= 5 +(222)

= 227

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What is the number of diagonals that intersect at a given vertex of a hexagon, heptagon, 30-gon and n-gon?
DENIUS [597]

Answer:

i. 9

ii. 14

iii. 405

iv. \frac{n(n-3)}{2}

Step-by-step explanation:

The number of diagonals in a polygon of n sides can be determined by:

\frac{n(n-3)}{2}

where n is the number of its sides.

i. For a hexagon which has 6 sides,

number of diagonals = \frac{6(6-3)}{2}

                                   = \frac{18}{2}

                                   = 9

The number of diagonals in a hexagon is 9.

ii. For a heptagon which has 7 sides,

number of diagonals = \frac{7(7-3)}{2}

                                   = \frac{28}{2}

                                   = 14

The number of diagonals in a heptagon is 14.

iii. For a 30-gon;

number of diagonals = \frac{30(30-3)}{2}

                                          = \frac{810}{2}

                                         = 405

The number of diagonals in a 30-gon is 405.

iv. For a n-gon,

number of diagonals = \frac{n(n-3)}{2}

The number of diagonals in a n-gon is \frac{n(n-3)}{2}

7 0
3 years ago
Tim Hortons is hiring and offers $200 every week plus $5 per hour. McDonalds offers $300 every week plus $2 per hour. State the
Bogdan [553]

Answer: After working for 33 \frac{1}{3} hours a week

Step-by-step explanation:

     Let us write equations to represent these two places. Let x be hours worked and y be money earned.

   Tim Hortons:

$200 + $5x = y

    McDonalds:

$300 + $2x = y

    Now, to find the conditions of which Tim Hortons is the better employer (on the basis of money earned) we must find the interval that Tim Hortons pays more. This can be found by setting up another equation, or by graphing. I have shown both. <em>See attached for the graph</em>.

$200 + $5x > $300 + $2x

$5x > $100 + $2x

$3x > $100

x > \frac{100}{3}

x > 33.3334

    Tim Hortons is the better employer after an employee has worked for 33 \frac{1}{3} hours a week.

<em>Read more about </em><em>this question</em><em> here:</em>

<em>brainly.com/question/24206551</em>

8 0
1 year ago
During the early 20th century, in what way was the radio better than the phonograph in encouraging the concept of crosspollinati
ololo11 [35]

C. Phonograph were inferior in sound quality.

Step-by-step explanation:

Researches have shown that plants respond to the sounds of their pollinator.

Some plants begin to produce a greater amount of nectar and some begin to vibrate to attract the attention of the pollinators towards them.

Greater the intensity of the sound of the pollinator, the faster the reaction will be.

Phonographs have a sound of lower intensity when compared to the intensity of sound produced by the radio.

Thus the radio was better than the phonograph in encouraging the concept of cross-pollination.

6 0
3 years ago
Melanie saves $20 every month in her savings account. She
OLga [1]

Let x represent the amount of months she has been saving for.

20x - 60 = 280

Solve for x.

20x - 60 = 280

~Add 60 to both sides

20x - 60 + 60 = 280 + 60

~Simplify

20x = 340

~Divide 20 to both sides

20x/20 = 340/20

~Simplify

x = 17

Therefore, Melanie has saved for 17 months.

Best of Luck!

8 0
3 years ago
What is the next term of the geometric sequence?<br> 2,−10,50,...
OleMash [197]

Answer:

-250

Step-by-step explanation:

I don't know for sure but I hope it's correct.

6 0
3 years ago
Read 2 more answers
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