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boyakko [2]
3 years ago
5

Which of the following describes a geometric sequence? A. a sequence in which the terms are not related in any way B. a sequence

in which terms are given by multiplying the previous term by a common ratio C. a sequence in which terms are given by adding the previous term to a common ratio D. a sequence in which terms are given by subtracting the previous term from a common ratio
Mathematics
1 answer:
myrzilka [38]3 years ago
5 0
C the answer should be C
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. Write each number in terms of natural logarithms, and then use the properties of logarithms to show that it is a
siniylev [52]

Answer:

The answer is 3/4

Step-by-step explanation:

Hi, we need to change the base of the logarithm, for that we need to use the following formula.

Log_{b} (a)=\frac{Ln(a)}{Ln(b)}

In our case, this is:

Log_{9} (\sqrt{27} )=\frac{Ln(\sqrt{27} )}{Ln(9)}

Which is the same as:

\frac{Ln(27)^{\frac{1}{2} }}{Ln(9)}

Now, let´s solve this using the log properties

\frac{1}{2} (\frac{Ln(27)}{Ln(9)} )

\frac{1}{2} (\frac{Ln(9*3)}{Ln(9)} )

\frac{1}{2} (\frac{Ln(9)+Ln(3)}{Ln(9)} )

\frac{1}{2} (\frac{Ln(9)}{Ln(9)}+\frac{Ln(3)}{Ln(9)}  )\\

We can change 3 for 9^(1/2)

\frac{1}{2} (\frac{Ln(9)}{Ln(9)}+\frac{Ln(9^{\frac{1}{2} } )}{Ln(9)}  )\\

\frac{1}{2} (\frac{Ln(9)}{Ln(9)}+\frac{Ln(9 )}{2*Ln(9)}  )\\

Since Ln(9) / Ln(9) =1, we get.

\frac{1}{2} (1+\frac{1}{2} )

\frac{1}{2} (\frac{3}{2} )=\frac{3}{4}

Best of luck.

4 0
3 years ago
Which problem solving strategy would be best to solve this problem?Four people are in line at the movie theater. Jennifer is ahe
melamori03 [73]

Answer:

So it would be Jeanie in the back, John next, Jennifer, then Jarrett.  

Step-by-step explanation:

Idk what you want me to answer on the A B C thing but that is the order they are in.

7 0
3 years ago
Read 2 more answers
Describe the translation below using words and then write a rule for it.
Triss [41]
The transformation of the figure is a translation. The original figure moves over 2 squares, then down once. The rule would be (x-2, y-1)

I’m pretty sure the answer is correct but my wording may not be so good :|
7 0
3 years ago
13, 5, 4, 9, 7, 14, 4 The deviations are _____.
fenix001 [56]

Answer:

B."5, -3, -4, 1, -1, 6, -4"

Step-by-step explanation:

We are given that

13,5,4,9,7,14,4

We have to find the deviation.

Mean=\frac{sum\;of\;data}{total\;number\;of\;data}

Using the formula

Mean,\mu=\frac{13+5+4+9+7+14+4}{7}

Mean,\mu=\frac{56}{7}=8

Deviation=x_i-\mu

         x_i-\mu

13          5

5           -3

4           - 4

9            1

7             -1

14            6

4            - 4

Hence, option  B is correct.

7 0
3 years ago
The diagram above, not drawn to scale,shows a triangle, ABC, with area 28units². Show workings.
Valentin [98]

A. (0,-6)
plug in the area to the area formula for a triangle (A=1/2bh). so 28=1/2b(4) [since the height is 4]. divide by 4 (7=1/2b). multiply by 2/divide by 1/2 (14=b). the base equals 14 units long.
B. y=2/3x+4
find the slope of the line (2/3)
the y-intercept is 4
4 0
3 years ago
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