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djyliett [7]
3 years ago
10

State a counterexample to the conjecture below if a number is divisible by 6 and 2 then there’s is divisible by 12

Mathematics
2 answers:
Lisa [10]3 years ago
7 0
If there's is not divisible by 12 then the  number is not divisible by 6 and 2. Hope this helps.
siniylev [52]3 years ago
4 0
Any number that is divisible by 6 is already divisible by 2, but is not necessarily divisible by 12.

Counterexamples include: 6, 18, 30, 42, 54, and so on. You can find more by multiplying 6 by any odd number. However, multiplying 6 by an even number provides another "2" that would make it divisible by 12.
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Find the common difference of the arithmetic sequence -5, -14, -23, ...
BartSMP [9]

Answer:

-9

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

  • A Arithmetic sequence -5 , -14 , -23 ...

And we need to find out the common difference of the Arithmetic sequence . The common difference of a Arithmetic sequence is the number which is added to a term to obtain the next term of the sequence . And it can be obtained by subtracting the consecutive terms.

<u>Sequence</u><u> </u><u>:</u><u>-</u><u> </u>

:\implies -5 , -14 , -23

<u>Common</u><u> difference</u><u> </u><u>:</u><u>-</u><u> </u>

:\implies CD = -14 -(-5) = -14+5=-9

:\implies CD = -23-(-14) = -23+14=-9

<u>Hence </u><u>the</u><u> </u><u>common</u><u> difference</u><u> </u><u>is </u><u>(</u><u>-</u><u>9</u><u>)</u><u> </u><u>.</u>

5 0
3 years ago
Read 2 more answers
What is the distributive property
Marta_Voda [28]
,
distributive property is an algebra property which is used to multiply and single term in two or more terms inside a set of parentheses
6 0
3 years ago
Find the scale factor and determine the type of the dilation.
zalisa [80]
Answer:
Both answers are B
4 0
3 years ago
Map pours 3 2/3 cup of orange juice into measuring cup from a large container then he poured 1 1/4 cups back into the container
Alecsey [184]

Answer:

2 5/12 cups

Step-by-step explanation:

Map pours 3 2/3 cup of orange juice into measuring cup from a large container then he poured 1 1/4 cups back into the container

The amount of juice remaining in the measuring cup is calculated as:

3 2/3 - 1 1/4

= 3 - 1 + ( 2/3 - 1/4)

LCD = Lowest Common Denominator is 12

= 2 + (4 × 2 - 3 × 1/12)

= 2 + (8 - 3/12)

= 2 + 5/12

= 2 5/12 cups

Hence, the amount of juice remaining in the measuring cup = 2 5/12 cups of juice

7 0
4 years ago
4. which of the following is the correct notation for 15-sqr-32
vfiekz [6]

Answer:

See below.

Step-by-step explanation:

4.

15 - \sqrt{-32} = 15 - \sqrt{-1 \times 16 \times 2} = 15 - 4i\sqrt{2}

5.

\sqrt{-63} = \sqrt{-1 \times 9 \times 7} = 3i\sqrt{7}

6.

\sqrt{-100} + 26 = \sqrt{-1 \times 100} + 26 = 10i + 26 = 26 + 10i

6 0
4 years ago
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