I'm still doing the rest but number 1 is D
[ Answer ]
14
[ Explanation ]
The GCF is the greatest number that goes into two numbers. 14 is the greatest number that goes into both 42 and 56 evenly.
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Answer:
3. 43.96 cm
4. 81.64 ft
Step-by-step explanation:
3. The formula for the circumference of a circle in terms of radius is ...
C = 2πr
When π is approximated by 3.14, this becomes ...
C ≈ 6.28r
The only answer choice even close to 6.28×(7 cm) is the one shown above.
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4. The formula for the circumference of a circle in terms of diameter is ...
C = πd
When π is approximated by 3.14, this becomes ...
C ≈ 3.14d
The only answer choice anywhere close to 3.14×(26 ft) is the one shown above.
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<em>Comment on the solution</em>
For questions like these, you only need to be able to estimate the answer to 1 or 2 significant digits. The answer choices are not so close together as to cause any confusion.
6×7 = 42, so the answer will be a few more than 42.
3×26 = 78, so the answer will be within a few numbers larger than that.
In each case, the answer is the largest value on the list. The other choices differ by a factor of 2, so aren't even close.
Answer:
a6 = -3072
Step-by-step explanation:
Put 6 where n is and do the arithmetic.
Since the form of your function looks like it is trying to describe a geometric sequence, we assume you actually mean ...
an = 3(-4)^(n-1)
So, for n=6, this has the value ...
a6 = 3(-4)^(6-1) = 3(-1024)
a6 = -3072
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Same deal if you really mean
an = -12n -1
a6 = -12(6) -1 = -73
