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Katena32 [7]
2 years ago
4

For the geometric sequence, the common ratio is 2 and the 12th term is a12 =6144. What is the first term?

Mathematics
1 answer:
geniusboy [140]2 years ago
5 0

Answer:

B. a1 = 3

Step-by-step explanation:

Since we have the comon ratio and 12th term, we could just divide the 12th term (6144) by 2 11 times until we get to the 1st term:

6144 /2/2/2/2/2/2/2/2/2/2/2 = 3

For a better understanding of the question, let's use the formula for geometric equations:

a(r)^(n-1)

1. Let's plug in the values we know

  • r = common ratio = 2
  • n = 12

a(2)^(12-1)

2. Set equation equal to 6144 (Since we use n = 12) and solve for a

  • a = 6144/ (2^11)
  • a = 3

To confirm this, let's use the formula for geometric equations again:

a(r)^(n-1)

a = first term = 3

r = common ratio = 2

3(2)^(12-1) = 6144

Therefore, a1 = 3

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The top surface of a desk has a length of 5.6 ft and the length is 4 times its width what is the width of the desk
IgorLugansk [536]

Answer:

<u>The width of the top surface of the desk is 1.4 feet.</u>

Step-by-step explanation:

1. Let's review all the information given for solving this question:

Length of the top surface of a desk = 5.6 feet

Width of the top surface of a desk= x

2. Let's find the width of the top surface of the desk

Length of the top surface of a desk = Four times the width

5.6 = 4x

5.6/4 = 4x/4 (Dividing by 4 at both sides)

1.4 = x

<u>The width of the top surface of the desk is 1.4 feet.</u>

5 0
2 years ago
Find the integer a such that<br> a.a ≡ 43 (mod 23) and −22 ≤ a ≤ 0.
Margaret [11]
Given that a is an integer from -22 to 0 such that a is equivalent to 43 (mod 23).

Such a can be obtained as follows:

a = 43 (mod 23) - 23 = 20 - 23 = -3.

Therefore, a = -3.
8 0
2 years ago
Erin starts with the number 4, adds -3, then subtracts -4. What is the result?
Ksju [112]

Answer:

Erin gets a result number of 5

Step-by-step explanation:

Assuming this is a 'word problem.' -- These are small numbers so you could use your hand for visual. :)

Start with 4 fingers up. (adding a negative to a positive is basically subtraction sooo...) put 3 fingers down. You now have one finger up. (subtracting a negative is just addition, think about taking those two minus signs and putting them together to get an addition sign.) now add 4 fingers to your one finger. You should be left with 5 fingers up!

Hope I helped. Hang in there, it will get easier!

8 0
2 years ago
Read 2 more answers
Value of expression 6 3/4(-11.5)
Olenka [21]

Answer:

6 * 3/4 = 9 2 = 412 = 4.5

Step-by-ste

6 * 3/4 = 6/1  3*4 = 18/4 = 9/2

2 · 2 = 9/2

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(18, 4) = 2. In the next intermediate step cancelling by a common factor of 2 gives 9

2

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In words - six multiplied by three quarters = nine halfs.

0 0
2 years ago
For tall heterozygotes with antennae, the offspring are: tall-antennae 46 dwarf-antennae 7 dwarf-no antennae 42 tall-no antennae
Dmitriy789 [7]

Answer: 46%

Step-by-step explanation:

Recombination frequency =Number of recombinant offspring ÷ total number of offspring × 100%

Number of recombinant offspring= 46 ( number of offspring with the same genetic combination as the parent which in this case are the tall antennae TA)

Total number of offspring = 46+7+5+42= 100

Recombination frequency= 46/100 × 100%

=46%

Thanks

8 0
2 years ago
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