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Tomtit [17]
3 years ago
10

Meryl needs to cut down 10.5 trees for every 555 cabins she builds.

Mathematics
1 answer:
inysia [295]3 years ago
4 0

<u>Answer: </u>

6.3 trees.

<u>Step-by-step explanation: </u>

We have been given that Meryl needs to cut down 10.5 trees for every 5 cabins she builds.

Let us find the number of trees Meryl needs to cut down to build 1 cabin by dividing 10.5 by 5.

Now let us multiply 2.1 by 3 to find the number of trees Meryl needs to cut down to build 3 cabins.

Therefore, Meryl needs to cut down 6.3 trees, if she builds 3 cabins.

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Find the 12th term of the geometric sequence 5, -25, 125, ...5,−25,125,...
katovenus [111]

Answer:

  • a_{12}=-244140625

Step-by-step explanation:

Considering the geometric sequence

5,-25,\:125,\:...

a_1=5

As the common ratio 'r' between consecutive terms is constant.

\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}

r=\frac{-25}{5}=-5

r=\frac{125}{-25}=-5

The general term of a geometric sequence is given by the formula:  

a_n=a_1\cdot \:r^{n-1}

where a_1 is the initial term and r the common ratio.

Putting n = 12 , r = -5 and a_1=5 in the general term of a geometric sequence to determine the 12th term of the sequence.

a_n=a_1\cdot \:r^{n-1}

a_n=5\left(-5\right)^{n-1}

a_{12}=5\left(-5\right)^{12-1}

      =5\left(-5^{11}\right)

\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a

       =-5\cdot \:5^{11}

\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}

        =-5^{1+11}     ∵ 5\cdot \:5^{11}=\:5^{1+11}

        =-244140625

Therefore,

  • a_{12}=-244140625
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Answer:

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Step-by-step explanation:

This is because 12 divided by 4 is 3 and 8 divided by 4 is 2 so yhe ratio is 3 to 2. Hope it helps.

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What is the mean,median,mode(s) an range if the numbers are 15,30,17,15,24,31,15
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The mean is 21.  The median is 15.  The mode is 15.  The range is 16.
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Write down the 5th term in the sequence given by t(n) = n^2 +2n
madam [21]
So it our equation would be t(5)=5^2+2(5)
25+10=35 :)
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