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Art [367]
3 years ago
7

Which sequences are geometric? Check all that apply.

Mathematics
2 answers:
Zigmanuir [339]3 years ago
5 0

Answer:

–2.7, –9, –30, –100, ...

–1, 2.5, –6.25, 15.625, ...

  8, 0.8, 0.08, 0.008, ...

Explanation:

A geometric sequence is a sequence with the ratio between two consecutive terms constant.  This ratio is called the common ratio.

now check all the sequence one by one.

For sequence –2.7, –9, –30, –100, ...

r = \frac{-9}{-2.7}=  3.333

= \frac{-30}{-9}  = 3.3333

=\frac{-100}{-30} = 3.3333

We see that, all the ratios are same.

So this is geometric sequence.

For sequence   –1, 2.5, –6.25, 15.625, ...

r = \frac{2.5}{-1}  =  \frac{-6.25}{2.5}  = \frac{15.625}{-6.25}  = 2.5

This is also geometric sequence.

For sequence  9.1, 9.2, 9.3, 9.4, ...

In this sequence, common ratio  is not same.

So, it is not a geometric sequence.

For sequence    8, 0.8, 0.08, 0.008, ...

Common ratio is same so, it is geometric sequence.

For sequence   4, –4, –12, –20, ...

Common ratio is not same. So, it is not geometric sequence .





Snezhnost [94]3 years ago
4 0

Answer:

The answers are A, B, and D

Step-by-step explanation:

these are geometric

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Solve.
Serggg [28]

Answer:

The solution is (4, 0)

Step-by-step explanation:

Using Linear combination method to solve:

2d + e = 8\\d - e = 4\\

Since "e" have the same coefficient in both equation with opposite operator; we will add.

(2d + d) + (e - e) = (8 + 4)\\3d = 12\\

Divide both side by coefficient of d which is 3

\frac{3d}{3}  = \frac{12}{3} \\d = 4\\

Since d = 4; put 'd' into any of the equation to get 'e'

2d + e = 8\\2(4) + e = 8\\8 + e = 8\\e = 8 - 8\\e = 0\\

Therefore, the solution is (4, 0)

5 0
4 years ago
Michael made 9/12 of his free throws at practice. What is 9/12 in simplest form?
riadik2000 [5.3K]
It would be 0.75 as a decimal or 3/4
4 0
4 years ago
Read 2 more answers
Emily ha 6 pounds of grapes. She splits the grapes into smaller 1/3 pound bunches. How many bunches of grapes can she make ?
Ilia_Sergeevich [38]

Answer:

2

Step-by-step explanation:

2 because 6 multipled by 1/3 is 2 and 2 multipled 3 is 6

5 0
3 years ago
The graph of the step function g(x) = –⌊x⌋ + 3 is shown. What is the domain of g(x)? {x| x is a real number} {x| x is an integer
allsm [11]

Answer:

Option A is correct.

The domain of the g(x) is {x | x is a real number}

Step-by-step explanation:

The graph of the step function: g(x)=-\left \lfloor x \right \rfloor +3


Floor function is defined as the function that gives the highest integer less than or equal to x.

The graph of function: g(x)=-\left \lfloor x \right \rfloor +3  where x is the independent variable as shown below;

Domain of any function is the complete set of possible values of the independent variable

Therefore, the domain of the function g(x) is the set of all real numbers or we can represent this as  {x | x is a real number}.

3 0
4 years ago
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Dolbear's law states the relationship between the rate at which Snowy Tree Crickets chirp and the air temperature of their envir
Shtirlitz [24]
For this case, the first thing we are going to do is rewrite the equation correctly.
 We have then:
 T = 50 + (N-40) / 4
 We substitute the value of N = 98, we have then:
 T = 50 + (98-40) / 4
 T = 64.5 degrees Fahrenheit.
 Answer:
 the temperature in degrees Fahrenheit, T is:
 T = 64.5 degrees Fahrenheit.
5 0
3 years ago
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