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kvv77 [185]
3 years ago
8

Determine 6th term in the geometric sequence whose first term is 3 and whose common ratio is -4.

Mathematics
1 answer:
GREYUIT [131]3 years ago
6 0
a_1=3
a_2=-4a_1
a_3=-4a_2=(-4)^2a_1
\cdots
a_6=-4a_5=\cdots=(-4)^5a_1

\implies a_6=(-4)^5\cdot3=-3072
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A farmer has 96 apples to sell at the farmers market. She wants to bag the apples before going. How many ways can the farmer bag
Tcecarenko [31]

Answer and explanation:

Farmer's number of apples = 96 apples

Given that Farmer needs to bag the apples so that there are at least 4 apples in each bag(not less than 4 apples in each bag) and not more than 10 apples in each bag

And also all apples in each bag are equal

We need to find the numbers between 4 and 10(including 4 and 10) that can divide 96 without a remainder

4 can divide 96= 24

5 cannot divide 96 without remainder

6 can divide 96 =16

7 cannot divide 96 without remainder

8 can divide 96=12

9 cannot divide 96 without remainder

10 cannot divide 96 without remainder

From the above we see that the factors of 96 = 4, 6, 8 between 4 and 10

4 apples = 24 bags

6 apples = 16 bags

8 apples = 12 bags

Therefore, there can be 3 possible ways of having equal number of apples in each bag between 4 and 10 apples

8 0
2 years ago
What number is the opposite of 165
Dvinal [7]

Answer:

-165

Step-by-step explanation:

7 0
3 years ago
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Find 7512−(−334) . Write your answer as a mixed number in simplest form.
Savatey [412]

Answer:

7846

Step-by-step explanation:

two 'minus' signs cancel each other out and become an 'plus' sign

therefore

7512-(-334) = 7512 + 334

= 7846

I don't know why you wrote ' write your answer as a 'mixed number ' in 'simplest form'. A mixed number can only be formed when you have a fraction, an improper fraction no less, the answer is a whole number, and therefore cannot be written as a mixed number in simplest form. If I am wrong pls let me know and elaborate by what you mean by 'mixed number' in the comments.

I believe it may be a trick question, but who knows.

Examples of fractions expressed as a mixed number.

19/8 = 2 3/8

17/5 = 3 2/5

7 0
2 years ago
NEED HELP PLSS!!!<br><br><br><br> pls dont answer if you dont know
jek_recluse [69]

Answer:

the second one is 343 to the 5 power

Step-by-step explanation:

thats all i know

srry honey

5 0
3 years ago
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Which is a solution to the equation y=2x-5?
erma4kov [3.2K]

Answer:

C. (1, -3)

Step-by-step explanation:

Plug in the x to get the y in the equation. The point must fit the formula.

Plug in C. (1, -3), in which x = 1, y = -3:

(-3) = 2(1) - 5

Simplify:

(-3) = 2(1) - 5

-3 = 2 - 5

-3 = -3 (True).

C is your answer.

~

7 0
3 years ago
Read 2 more answers
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