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Dmitry_Shevchenko [17]
3 years ago
12

Write an exponential function to describe the given sequence of numbers.

Mathematics
1 answer:
andriy [413]3 years ago
5 0

Answer:

  a(n) = 9·6^(n-1)

Step-by-step explanation:

The general term a(n) of a geometric sequence with first term a(1) and common ratio r is given by ...

  a(n) = a(1)·r^(n-1)

Your sequence has first term 9 and common ratio 54/9 = 6, so the function describing it is ...

  a(n) = 9·6^(n-1)

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Solve for x 5x + 3 - 2x = 24 (also don't have the answer be a fraction)
Yuki888 [10]

Answer:

x=7

Step-by-step explanation:

Let's solve your equation step-by-step.

5x+3−2x=24

Step 1: Simplify both sides of the equation.

5x+3−2x=24

5x+3+−2x=24

(5x+−2x)+(3)=24(Combine Like Terms)

3x+3=24

3x+3=24

Step 2: Subtract 3 from both sides.

3x+3−3=24−3

3x=21

Step 3: Divide both sides by 3.

7 0
3 years ago
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Mrs. Lin is sewing costumes for her grandchildren. She is making three lion costumes, one zebra costume, and two bear costumes.
stepladder [879]

Answer:

12\frac{1}{8}\ yd

Step-by-step explanation:

we know that

The total fabric that Mrs. Lin needs is equal to

3(1\frac{2}{3})+2\frac{5}{8}+2(2\frac{1}{4})

Convert mixed number to an improper fraction

1\frac{2}{3}=1+\frac{2}{3}=\frac{5}{3}

2\frac{5}{8}=2+\frac{5}{8}=\frac{21}{8}

2\frac{1}{4}=2+\frac{1}{4}=\frac{9}{4}

substitute

3(\frac{5}{3})+\frac{21}{8}+2(\frac{9}{4})

5+\frac{21}{8}+\frac{9}{2}

\frac{40+21+36}{8}=\frac{97}{8}\ yd

Convert to mixed number

\frac{97}{8}\ yd= \frac{96}{8}+\frac{1}{8}=12\frac{1}{8}\ yd

4 0
4 years ago
I have to be awake at 5am and it’s about to be 12am so can someone please help me with this 7th grade math homework
finlep [7]

Step-by-step explanation:

Divide the denominator by the numerator to find the percentage

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4 years ago
Determine the equation of the graph
laila [671]
There is no graph here
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3 years ago
Two interior angles of a scalene triangle measure 45 and 110 degrees. The third angle measures:
melamori03 [73]

Answer:

25º

Step-by-step explanation:

110+45=155

180-155=25

7 0
3 years ago
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