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Georgia [21]
2 years ago
7

Recursive formula for 26, 24, 22, 20

Mathematics
1 answer:
dexar [7]2 years ago
4 0

Answer:

a_n = 28-2n

Step-by-step explanation:

Given sequence is:

26,24,22,20

We can see that the difference between consecutive terms is same so the sequence is an arithmetic sequence

The standard formula for arithmetic sequence is:

a_n = a_1+(n-1)d

Here,

a_n is the nth term

a_1 is the first term

and d is the common difference

So,

d = 24-26

= -2

a_1 = 26

Putting the values of d and a_1

a_n = 26 + (n-1)(-2)\\a_n = 26-2n+2\\a_n = 28-2n

Hence, the recursive formula for given sequence is: a_n = 28-2n ..

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skelet666 [1.2K]

Given the amount of water needed to fill the cement dam and the water pump rate, the time needed to fill the dam is 400 minutes or 6hours 40minutes.

Option B)6h 40min is the correct answer.

<h3>How long does it take to fill the dam?</h3>

Given that;

  • Amount of water needed to fill the dam A = 30000 litres
  • Pump rate r = 75 litres per minute
  • Time needed to fill the dam T = ?

To determine how long it take to fill the dam, we say;

Time need = Amount of water needed ÷ Pump rate

T = A ÷ r

T = 30000 litres ÷ 75 litres/minute

T = 400 minutes

Note that; 60min = 1hrs

Hence,

T = 6hours 40minutes

Given the amount of water needed to fill the cement dam and the water pump rate, the time needed to fill the dam is 400 minutes or 6hours 40minutes.

Option B)6h 40min is the correct answer.

Learn more word problems here: brainly.com/question/2610134

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8 0
2 years ago
How many solutions does the following equation have? <br><br>-6(x+7) = -4x -2​
Fed [463]
Solve for x first
-6x - 42 = -4x -2
-6x = -4x + 40
- 2x = 40
X = -20
The equation has one solution
3 0
2 years ago
Side's of a triangle to side of a square​
Masja [62]

Answer:

3:4

Step-by-step explanation:

there are 3 sides on a triangle and 4 on a square

3 0
2 years ago
Read 2 more answers
So im really confused by this and could use some help.
Otrada [13]

Answer:

Nancy fits the equation.

Step-by-step explanation:

I think they're asking which gorilla fits the equation.

2b - 15 = 605

<em>Add 15 to both sides</em>

2b=620

<em>Divide both sides by 2</em>

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The only gorilla who weighs 310 pounds is Nancy.

5 0
3 years ago
The data shows the total number of employee medical leave days taken for on-the-job accidents in the first six months of the yea
Inga [223]

Answer:

90

Step-by-step explanation:

The sum of squares of the deviation from mean=sum(x-xbar)²=?

x

12

6

15

9

18

12

xbar=sumx/n

xbar=(12+6+15+9+18+12)/6=72/6=12

x      x-xbar       (x-xbar)²

12      12-12=0     0

6       6-12=-6     36

15      15-12=3      9

9       9-12=-3       9

18      18-12=6      36

12      12-12=0      0

sum(x-xbar)²=0+36+9+9+36+0=90

So, the sum of squares of the deviations from the mean is 90.

3 0
3 years ago
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