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Yuliya22 [10]
3 years ago
8

Write the recursive formula and the explicit formula for the sequence {-15,-7,1,9, 17,...}. Show all work.

Mathematics
1 answer:
Natali5045456 [20]3 years ago
6 0

Answer:

8n-23

Step-by-step explanation:

a=-15 and d=8

so nth term=-15+(n-1)8

=8n-23

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Aiden's bill for lunch at a restaurant is $14.50, and he wants to leave a 18% tip.
zhannawk [14.2K]

Answer:

Tip: $2.61

Total: $17.11

Step-by-step explanation:

tip = total cost * rate of tip

Add the tip to the original bill, that's the total.

I hope this helped.

4 0
2 years ago
I need help!! This is getting a little harder than I expected
MAXImum [283]

Length of the side = 9 cm

Diagonal = 9\sqrt{2} cm

Solution:

Area of the square = 81 square centimeters

In square all sides are equal.

Area of the square = side × side

Side × side = 81

Side² = 9²    (∵81 = 9²)

Taking square root on both sides, we get

Side = 9 cm

Length of the side = 9 cm

To find the length of the diagonal:

In square all the angles are right angle.

Diagonal splits the square into two right angle triangle.

Using Pythagoras theorem,

<em>In right triangle, square of the hypotenuse is equal to the sum of the square of the other two sides.</em>

Here, diagonal is the hypotenuse.

\text{Diagonal}^2=9^2+9^2

\text{Diagonal}^2=81+81

\text{Diagonal}^2=2\times 81

Taking square root on both side,

Diagonal = 9\sqrt{2} cm

6 0
3 years ago
6 ft.<br> 12 ft.<br> 8 ft.<br> The area of this irregular<br> figure is<br> -sq. ft.<br> 16 ft.
nikdorinn [45]

Answer:

When we know all 3 sides, we use Heron's Formula

area = sqrt [s *(s-a) * (s-b) * (s-c)]

where "s" is the semi-perimeter which in this case equals

s = (6 + 8 + 12) / 2   = 13

area = sqrt [13 * 5 * 7 * 1]

area = sqrt 455

area = 21.3307290077

area = 21.33 square feet (rounded)

Step-by-step explanation:

3 0
3 years ago
If you assume that there are exactly 365 days in a year, how many seconds are there in one year? Give your answer to the nearest
Elena L [17]

Answer:

  31,536,000

Step-by-step explanation:

There are 3600 seconds in an hour and 24 hours in a day, so ...

 (3600 s/h)(24 h/da) = 86400 s/da

Then in 365 days, there are ...

  (365 da)(86400 s/da) = 31,536,000 s

_____

No rounding is needed.

5 0
3 years ago
Find the sum 6 1/4 + 7 2/3
ki77a [65]

Answer:

13 11/12.

Step-by-step explanation:

First, we multiply 1/4 and 2/3 with it's least common denominator, 12. Now, we have 6 3/12 and 7 8/12. We now add this together to get the sum of 13 11/12.

7 0
2 years ago
Read 2 more answers
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