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sleet_krkn [62]
3 years ago
5

List the next three terms in the following sequence1,2,4,7, 11, 16​

Mathematics
1 answer:
Brrunno [24]3 years ago
4 0

Answer:

22, 29, 37

Step-by-step explanation:

There is a pattern to find the next number in the sequence. The sequence is taking the previous number and adding the number it is in the sequence.

Notice how the first number being added is the number of the previous sum and the second number being added is always increasing by one

1+0=1

1+1=2

2+2=4

4+3=7

7+4=11

11+5=16

16+6=22

22+7=29

29+8=37

22, 29, 37

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Suppose x and y vary inversely, and x =10 when y=8. Write the function the models the inverse variation.
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Answer:

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3 years ago
Find the term indicated in the expansion. (x - 3y)11; 8th term
Alja [10]
The term in the expansion:
T ( k+1) = n C k * A^(n-k) * B^k.
In this case: n = 11,  k + 1 = 8, so k = 7.
A = x, B = - 3 y
T 8 = 11 C 7 * x^(11-7) * ( - 3 y )^7 =
 =( 11 *10 * 9 * 8 * 7 * 6 * 5 ) / ( 7 * 6 * 5 * 4 * 3 * 2 * 1  )* x^4 * ( - 2,187 y^7 ) =
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Answer: The 8th term in expansion is
 
8 0
3 years ago
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Suppose a triangle has two sides of length 3and 4 and that the angle between these two sides is 60. What is the length of the th
tangare [24]

9514 1404 393

Answer:

  A.  √13

Step-by-step explanation:

You can make an educated guess and come to the right conclusion.

The triangle is nearly an equilateral triangle. A triangle with two sides 3 and an angle of 60° would have a third side of 3. A triangle with two sides of 4 and an angle of 60° would have a third side of 4.

So, the third side must be between 3 and 4. Here is an evaluation of the answer choices:

__

A -- between 3 and 4, the correct choice

B -- 3, too short

C -- 1.73, too short

D -- more than 4, too long

__

The question can be answered using your triangle solver app on your calculator, or using the Law of Cosines.

  c = √(a^2 +b^2 -2ab·cos(C))

  c = √(3^2 +4^2 -2·3·4·(1/2)) = √(9 +16 -12)

  c = √13 . . . . . length of the side opposite the 60° angle

5 0
3 years ago
Need help with math. I will give brainliest!!!!!!
Mice21 [21]

Answer:

~~

Step-by-step explanation:

Ok so first 2.4 will have to be changed to 24 which means we multiplied it by ten making it 24/10 since it is tan it is opposite side/ adjacent side so your one of your legs will be 24 and one will be 10. Now we just plug that into the Pythagorean Theorem to find the hypotenuse and we get 26. The area is 24b10/2=120 the area is 120.

Leg a= 24

Leg b= 10

Hypotenuse=26

Area=120  

Read more on Brainly.com - brainly.com/question/12450752#readmore

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3 years ago
What is this value 4.6(-2)
Bingel [31]

Answer:

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Step-by-step explanation:

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