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LekaFEV [45]
3 years ago
11

What is the nth term of the sequence 1,4,9,16​

Mathematics
1 answer:
Elena-2011 [213]3 years ago
3 0

Answer:

n^{2}

Step-by-step explanation:

1, 4, 9, 16

1=1^{2}

4=2^{2}

9=3^{2}

16=4^{2}

so, the fifth term is 5^{2} = 25

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Which set of numbers could represent the side lengths of a right triangle? A. 0.1, 0.2, 0.3 B. 1.8, 2.4, 3 3, 8, 10 D. 5, 7, 12​
Lelechka [254]

Answer:

B. 1.8, 2.4, 3

Step-by-step explanation:

You can make use of pythagore to prove each of the given options and you'll see that B is the correct answer:

A) \sqrt{0.1^{2}+0.2^{2}}=0.22

B) \sqrt{1.8^{2}+2.4^{2}}=3

C)\sqrt{3^{2}+8^{2}}=8.54

D)\sqrt{5^{2}+7^{2}}=8.6

5 0
3 years ago
Can I get an example of systems of equations that represent the solution of this situation below? Thank you! ^ ^
Alenkinab [10]

Answer:

1x+ 1y =11

10x + 5y = 80

x = the cost of a taco = $5

y = the cost of a burrito = $6

Step-by-step explanation:

x = the cost of a taco

y = the cost of a burrito

1x+ 1y =11

10x + 5y = 80

rearange 1st equation as y = 11 -x and plug in into the 2nd one for y:

10x + 5( 11-x) = 80 distribute left side

10x + 55 - 5x = 80 combine like terms

10x - 5x = 5x

5x + 55 = 80 subtract 55 from both sides

5x = 80 - 55

5x = 25 divide by 5

x = 5

plug in for y in 1st equation y = 11--x =11-5 = 6

7 0
4 years ago
Cómo resolver 1/10 +78/100​
julsineya [31]
88/100 = 44/50 = 22/25 = 1 3/25
6 0
3 years ago
In one round robin chess tournament, 36 games were played. How many players entered in the tournament?
ICE Princess25 [194]
\displaystyle
\binom{n}{2}=36\\\\
\dfrac{n!}{2!(n-2)!}=36\\
\dfrac{n(n-1)}{2}=36\\
n(n-1)=72\\
n^2-n-72=0\\
n^2-9n+8n-72=0\\
n(n-9)+8(n-9)=0\\
(n+8)(n-9)=0\\
n=-8 \vee n=9

The number of players can't be negative, so there was 9 players.


6 0
4 years ago
How would the following graph look y=1/sin ?
seraphim [82]
Not necessarily the case, because the function tends to infinity when sin(x) approaches 0 and it is 1 (minimum value) when sin(x) = 1. Look at the picture to know what it looks like.

6 0
4 years ago
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