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mote1985 [20]
2 years ago
11

The number of guests, g, coming for dinner is not 8

Mathematics
1 answer:
aalyn [17]2 years ago
8 0

Answer:

g < 8

rip 5 days ago

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Lilit [14]

Answer:

The answer to this question is D.60



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3 years ago
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
6 0
3 years ago
Can a equation have more than one property present?
Feliz [49]

Answer:

yes it CAN have more than 1

Step-by-step explanation:

3 0
3 years ago
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What is the equivalent expression 9(2a+1)
elena-14-01-66 [18.8K]
18a+9 is equivalent
3 0
3 years ago
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Jose wants to build a rectangular kennel for his dog. His dad will let him use a spot in the corner of the yard that is 12 feet
Butoxors [25]
Hello!

We don't need to find the exact perimeter of the fencing, just an estimate.

We will round 12 ft 3 in to 12 ft, because it is closer to 12 ft than 13 ft.

We will also round 8 ft 11 in to 9 ft because there are 12 inches in a foot, which makes 9 ft closer.

The formula for perimeter of a rectangle is:

P = 2l × 2w

The length is about 12 feet and the width is about 9 feet.

Substitute the length and width:

P = 2(12) + 2(9)

Solve:

P = 24 + 18

P = 42

Jose will need about 42 feet of fencing.
8 0
3 years ago
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