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Bingel [31]
2 years ago
14

Sort the sequence according to whether they are arithmetic gemoentic or neither

Mathematics
1 answer:
vaieri [72.5K]2 years ago
7 0

98.3, 94.1, 89.9, 85.7 (Arithmetic)

1, 0, -1, 0 (Neither)

1.75, 3.5, 7, 14 (Geometric)

-1, 1, -1, 1..... (Geometric)

<h3>Determining the type of a sequence</h3>

An arithmetic sequence has a common difference

A geometric sequence has a common ratio

Considering the given sequences one after the other:

<u>For 98.3, 94.1, 89.9, 85.7,..........</u>

The common difference, d = 94.1 - 98.3 = -4.2

Therefore, 98.3, 94.1, 89.9, 85.7 is an arithmetic sequence

<u>For 1, 0, -1, 0......</u>

The sequence does not have a common difference or a common ratio. Therefore, it is neither an arithmetic nor geometric sequence

<u>For 1.75, 3.5, 7, 14,.....</u>

The common ratio = 3/1.75 = 2

Therefore, it is a geometric sequnec

<u>For -1, 1, -1, 1.....</u>

The common ratio = 1/-1 = -1

It is a geometric sequence

Learn more on arithmetic and geometric sequences here: brainly.com/question/13613396

#SPJ1

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What is 4 divided by 2 plus eight (6 to the 4 power
bonufazy [111]
4/2+8=2+8=10
6^4=1296
4 0
3 years ago
Read 2 more answers
What is the product of (-4x2-5x-1)(4x2-6x-2)
Stells [14]
(-4x2-5x-1)(4x2-6x-2)

Final result :

-2 • (13x + 1) • (2x2 - 3x - 1)
Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2".

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(-13x - 1) • ((22x2 - 6x) - 2)
Step 2 :

Pulling out like terms :

3.1 Pull out like factors :

-13x - 1 = -1 • (13x + 1)

Step 3 :

Pulling out like terms :

4.1 Pull out like factors :

(4x2 - 6x - 2) = 2 • (2x2 - 3x - 1)

Trying to factor by splitting the middle term

4.2 Factoring 2x2 - 3x - 1

The first term is, 2x2 its coefficient is 2 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is -1

Step-1 : Multiply the coefficient of the first term by the constant 2 • -1 = -2

Step-2 : Find two factors of -2 whose sum equals the coefficient of the middle term, which is -3 .

-2 + 1 = -1
-1 + 2 = 1

Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored

Step 4 :

Pulling out like terms :

5.1 Pull out like factors :

-26x - 2 = -2 • (13x + 1)

Final result :

-2 • (13x + 1) • (2x2 - 3x - 1)
7 0
4 years ago
Soybean mean is 14% protein; cornmeal is 7% protein. How many pounds of each should be mixed together in order to get 280-lb mix
Marianna [84]

I have to form a couple of equations in order to solve it.

let the amount of soybean in the mixture be x and that of cornmeal be y

Step-by-step explanation:

x+y = 280

y = 280 - x

x*(14/100) + y*(7/100) = 280*(12/100)

Multiplying the whole equation by 100;

14x + 7y = 3360

in this equation,put y = 280 - x

14x +7 (280-x) = 3360

14x +1960 - 7x = 3360

14x - 7x = 3360 - 1960

7x = 1400

x = 200lbs

y = 280 - x

= 280 - 200

= 80 lbs

Inorder to make a 280lbs mixture having 12% protein, we should mix 200lbs of soyabean and 80 lbs of cornmeal

8 0
3 years ago
Roger has two blue ties, one red tie, two blue coats, and two orange coats. What is the probability that he wears either a blue
Lyrx [107]

Answer:

4/7

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Given

Total outcome = 2blue ties+1red tie+2blue coats+2orange coats

Total outcome = 7

If he wears a blue tie, then the expected outcome will be 2.

Probability that he wears blue tie = 2/7

If he wears a blue coat, then the expected outcome will be 2.

Probability that he wears blue coat = 2/7.

The probability that he wears either a blue tie or a blue coat will be 2/7+2/7 = 4/7

3 0
3 years ago
HELP!
loris [4]
<h3>Answer: Choice C,  Ro, 270 </h3>

270 degree counterclockwise rotation around the origin

=============================================================

Check out the diagram below. In the diagram, I only focus on points A and A'.

We have A = (-3,4) move to A ' = (4, 3). We see the x and y coordinates swap places. Then the new second coordinate -3 becomes positive, or it has flipped sign. So the rule applied here is (x,y) \to (y,-x) which describes a 90 degree clockwise rotation; which is equivalent to a 270 degree counterclockwise rotation

The other points follow the same idea.

7 0
3 years ago
Read 2 more answers
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