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enot [183]
3 years ago
10

WELP

Mathematics
1 answer:
Anna007 [38]3 years ago
8 0

The water level starts at 800. Then, with each year, we add a meter. It means that after t years we add exactly t meters.

So, at any given time t, the water level will be

w=800+t

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The sum of the first ten terms of a linear sequence is 145. the sum of the next ten term is 445. find the sum of the first four
chubhunter [2.5K]

The sum of the first four terms of the sequence is 22.

In this question,

The formula of sum of linear sequence is

S_n =\frac{n}{2}(2a+(n-1)d)

The sum of the first ten terms of a linear sequence is 145

⇒ S_{10} =\frac{10}{2}(2a+(10-1)d)

⇒ 145 = 5 (2a+9d)

⇒ \frac{145}{5} =2a+9d

⇒ 29 = 2a + 9d  ------- (1)

The sum of the next ten term is 445, so the sum of first twenty terms is

⇒ 145 + 445

⇒ S_{20} =\frac{20}{2}(2a+(20-1)d)

⇒ 590 = 10 (2a + 19d)

⇒ \frac{590}{10}=2a+19d

⇒ 59 = 2a + 19d -------- (2)

Now subtract (2) from (1),

⇒ 30 = 10d

⇒ d = \frac{30}{10}

⇒ d = 3

Substitute d in (1), we get

⇒ 29 = 2a + 9(3)

⇒ 29 = 2a + 27

⇒ 29 - 27 = 2a

⇒ 2 = 2a

⇒ a = \frac{2}{2}

⇒ a = 1

Thus, sum of first four terms is

⇒ S_4 =\frac{4}{2}(2(1)+(4-1)(3))

⇒ S_4 =2(2+(3)(3))

⇒ S₄ = 2(2+9)

⇒ S₄ = 2(11)

⇒ S₄ = 22.

Hence we can conclude that the sum of the first four terms of the sequence is 22.

Learn more about sum of sequence of n terms here

brainly.com/question/20385181

#SPJ4

6 0
1 year ago
What is the SCALE FACTOR (in decimal form) for a ratio of 6:15?
deff fn [24]
0.4
.....




......
......
5 0
3 years ago
Read 2 more answers
Help ur boy out abcdefghijklmnopqrstuvwxyz
Umnica [9.8K]

Answer:

  1. (-6, 10)
  2. (-10, 9)
  3. (-11, -6)
  4. (-5, 1)

Step-by-step explanation:

<em>(x,y) → (x-8, y+4)</em>

1. (2, 6)

(2-8, 6+4)

<u>(-</u><u>6, 10)</u>

2. (-2, 5)

(-2-8, 5+4)

<u>(-10, 9)</u>

3. (-3, -10)

(-3-8, -10+4)

<u>(-11, -6)</u>

ídk man u should connect it to <u>(11, -7)</u> since it's the only choice closest to the right answer, but If u can write the correct then write this. there's prolly an error in that quiz ídk

4. (3, -3)

(3-8, -3+4)

<u>(-5, 1)</u>

<u> </u>still not in the choices nanii but <u>(5, -14)</u> is the only choice left and also the closest, and even if u use calculator the correct answer is still (-5, 1). sigh, I hope this helper at least

5 0
3 years ago
12-x=15 <br> What does x equal?
babymother [125]
12-x=15 \\ \\ -x = 15 - 12 \\ \\ -x = 3 \\ \\ x = -3 \\ \\

The final result is: x = -3.
3 0
3 years ago
Read 2 more answers
The fact that the polynomial (3x^2+4x+5)+(2x+6) Fields a polynomial employs what property?
EleoNora [17]

Answer:

The fact that the polynomial (3x2+4x+5) + (2x+6) yields a poloynomial, employs what property?

Step-by-step explanation:

3 0
3 years ago
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