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Pie
3 years ago
12

ILL GIVE BRAINLIEST! PLEASE HELP I DONT UNDERSTAND!

Mathematics
1 answer:
blsea [12.9K]3 years ago
7 0

Answer:

S₁₅ = 645

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Using the nth term formula a_{n} = 5n + 3 , then

a₁ = 5(1) + 3 = 5 + 3 = 8

a₂ = 5(2) + 3 = 10 + 3 = 13 , then

d = a₂ - a₁ = 13 - 8 = 5

Thus

S₁₅ = \frac{15}{2} [ (2 × 8) + (14 × 5) ]

     = 7.5( 16 + 70)

     = 7.5 × 86

     = 645

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In how many ways you can put 20 books on 50 shelves so that there is not more than one book on a shelf?
elena-s [515]

Answer:

The other answer I saw is the same way that I used to explain in my class as well. But, there's an alternative way to reach the answer as well

First thing that we should know is that if there are 'n' units kept in a row, then there are 'n+1' gaps generated by them. So, what we should understand is that when there is no item there is 1 gap, when there is one item there are 2 gaps, and so on.

Let us use that concept here, with a small variation: the 5 shelves are 5 initial gaps. The first book has 5 choices (5 initial gaps) to go to. Once we have placed this book, there are now 6 gaps on which the 2nd book can be placed. After the 2nd book is placed, there are 7 gaps in which 3rd book can be placed, and so on.

So, the total arrangements will be = 5*6*7*...24 [as there are 20 books] = 24P20

8 0
3 years ago
At a baseball game, 89% of people attending were supporting the home team, while 11% were supporting the visiting team. If 2314
pickupchik [31]

Answer:

2600

Step-by-step explanation:

2314 ÷ 89% = 2600

2314 is 89% of 2600.

3 0
3 years ago
Identify the slope in the equation 20x-10y=60
Soloha48 [4]
20x-10y=60 simplified would be y=2x-6

slope : 2
4 0
3 years ago
Read 2 more answers
Plz help due tonight!!!
jolli1 [7]

Answer:

x=75+36

x=111

Step-by-step explanation:

pls mark as brainliest

7 0
3 years ago
Read 2 more answers
This was an exceptionally dry year for portions of the southwestern United States. Monthly precipitation in Phoenix, Arizona, wa
Otrada [13]

Using the vertex of a quadratic function, it is found that Phoenix received the highest amount of precipitation on the month of May.

<h3>What is the vertex of a quadratic equation?</h3>

A quadratic equation is modeled by:

y = ax^2 + bx + c

The vertex is given by:

(x_v, y_v)

In which:

x_v = -\frac{b}{2a}

y_v = -\frac{b^2 - 4ac}{4a}

Considering the coefficient a, we have that:

  • If a < 0, the vertex is a maximum point.
  • If a > 0, the vertex is a minimum point.

In this problem, the precipitation each month x in Phoenix is given by:

y = -0.04088x^2 + 0.4485x + 1.862

Hence the coefficients are a = -0.04088, b = 0.4485, c = 1.862, and the month for which the precipitation will be highest is given by:

x_v = -\frac{0.4485}{2(-0.04088)} = 5.48

Hence during the month of May.

More can be learned about the vertex of a quadratic function at brainly.com/question/24737967

4 0
3 years ago
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