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Artemon [7]
3 years ago
5

Write an explicit formula for an, the nth term of the sequence 11, 20, 29

Mathematics
1 answer:
photoshop1234 [79]3 years ago
7 0
On = 38 - 9n
Step-by-step explanation:
Note the common difference d between
consecutive terms
d= 20 - 29 = 11 - 20 = - 9
This indicates the sequence is arithmetic with n
th term
On
= apt (n - 1)d
where a, is the first term and d the common
difference
Here a, = 29 and d=- 9, thus
An = 29 - 9 (n - 1) = 29 - 9n + 9 = 38 - 9n
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Abby is painting two cubes for an art project.
11Alexandr11 [23.1K]

Answer:

1. 54 square feet.

2. 24 square feet.

3. 78 square feet.

Step-by-step explanation:

1. Each side of cube 1 is 3 feet x 3 feet, so each side has an area of 9 square feet. Multiply by 6 sides and the area is 54 square feet.

2. 6s^2 = (6 x 2) x 2

(6 x 2) x 2

12 x 2

= 24

3. Just add the 36 and 24.

56 + 24 = 78

Hope this helps!

8 0
3 years ago
Read 2 more answers
5 students, including Alice, Bob, and Cindy, line up in a row. In how many ways can they line up so that Alice is somewhere betw
Inga [223]

Answer:

20 possible arrangements

Step-by-step explanation:

A: Alice  

B: Bob

C: Cindy

X: other student

All the possible arrangements are:

When Bob is in the first place

B A C X X

B A X C X

B A X X C

B X A C X

B X A X C

B X X A C

6 possible arrangements

When Bob is in the second place (notice that neither Alice nor Cindy can be before Bob)

X B A C X

X B A X C

X B X A C

3 possible arrangements

When Bob is in the third place

X X B A C

Only 1 possible arrangement.

Total arrangements when Bob is before Cindy: 10

If Cindy is before Bob the same situations are repeated, given another 10 arrangements. So, the total line up in which Alice is somewhere between Bob and Cindy are 20.

7 0
3 years ago
Do I have this one correct
nikklg [1K]

Answer:

Option B is correct

Step-by-step explanation:

Given is a cos funciton.

Period = 3

Max = 20 and minimum =0

Hence centre line is y = 1/2 (max+min)

i.e. y =10 is the central line

Let the funciton be of the form

y = a cos (bx+C)+d

We got d = 10...i

Period =3

Hence b = \frac{2\pi}{3} ... ii

Amplitude = a = distance of max from central line = 20-10 =10...iii

Since reflection over x axis, sign of a =negative

a=-10

Since no horizontal shift, c=0 ... iv

Put to gether the function is

y=-10cos\frac{2\pi x}{3} +10

8 0
3 years ago
90 is 50% of what number?<br> 45<br> O<br> 120<br> O<br> 180<br> O
sergij07 [2.7K]

Answer:

180

Step-by-step explanation:

90 x 2 =180 hope this helps :)

6 0
3 years ago
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Wewaii [24]
Omggg hiii you divide both sides by 14 and your answer would be 6
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