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lilavasa [31]
3 years ago
10

Find a10 given the geometric sequence 3, 12, 48, 192, ...

Mathematics
1 answer:
notka56 [123]3 years ago
3 0

Answer:

Step-by-step explanation:

first term = a = 3

common ratio = 2nd term ÷ first term

                       = 12 ÷ 3

                      r = 4

a_{n} = ar^{n-1}\\\\a_{10}=3*4^{9}\\\\\\ = 3 * 262144\\\\= 786432

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__x4=12<br> 12÷4 =__ <br> The Number in the blanks represents :
Rama09 [41]
The number in the blanks is 3
3 0
3 years ago
Select the correct answer from each drop-down menu.
ruslelena [56]

The independent variable in the relationship is the <u><em>Number of Months</em></u> and should be placed on the<em> </em><u><em>x-axis</em></u>

The dependent variable in the relationship is the <em><u>Number of Fish</u></em> and should be placed on the <u><em>y-axis</em></u>

Step-by-step explanation:

Let us explain the independent and dependent variables of a relation

  • The independent variable is the input of the relation
  • The dependent variable is the output of the relation
  • The values of dependent variables depend on the values of independent variables
  • When the relation represented graphically the independent variable placed on the x-axis and the dependent variable placed on the y-axis

The table:

→ Number of Months:  0       :  1         :  2       :  3          :  4

→ Number of Fish      : 1,024 :  1,280 :  1600 :  2,000  :  2,500

Let us check is their any constant ratio between the consecutive values of the number of fish

∵ 1,280 ÷ 1,024 = 1.25

∵ 1,600 ÷ 1.280 = 1.25

∵ 2,000 ÷ 1,600 = 1.25

∵ 2,500 ÷ 2,000 = 1.25

∴ The table represent an exponential function, where the input

   is the number of months and the output is the number of fish

∵ The input is independent variable

∴ The independent variable is the number of months

∵ The output is the dependent variable

∴ The dependent variable is the number of fish

∵ The independent variable is placed on the x-axis

∴ The number of months should be place on the x-axis

∵ The dependent variable is placed on the y-axis

∴ The number of fish should be place on the y-axis

The independent variable in the relationship is the <u><em>Number of Months</em></u> and should be placed on the<em> </em><u><em>x-axis</em></u>

The dependent variable in the relationship is the <em><u>Number of Fish</u></em> and should be placed on the <u><em>y-axis</em></u>

<u><em /></u>

Learn more:

You can learn more about the relation in brainly.com/question/10708697

#LearnwithBrainly

6 0
3 years ago
Helppppppppppppppppppppp
ivolga24 [154]

Answer:

117m

Step-by-step explanation:

I attached a file.

7 0
3 years ago
Find f(-2) for f(x) = 2(4)x . will give brainliest for correct answer ​
Serhud [2]

Answer:

D

Step-by-step explanation:

This questions asks use to find what f(x) or y is, when x is equal to -2.

So, substitute -2 in for x in the equation.

f(x)=2(4)^x

f(-2)=2(4)^-2

Evaluate the exponent. Negative exponents follow this rule:

b^-x= 1/b^x

We have 4^-2. This will become 1/4^2 or 1/16

f(-2)=2(1/16)

Multiply

f(-2)=2/16

This fraction can be simplified. Both the numerator (top number) and denominator (bottom number) can be divided by 2.

f(-2)=2/2 / 16/2

f(-2)= 1/8

The correct choice is D. 1/8

8 0
3 years ago
Complete this pattern 3400000, 34000,______3.4,______
Ira Lisetskai [31]
Well the pattern is moving 2 decimal places to the left to make it smaller so it starts off with 3,400,000. 34,000. Then 340. 3.4 and then .034.
ANSWER: 1) 340 2) .034
3 0
3 years ago
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