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Nonamiya [84]
3 years ago
8

Does the number 65/13 have a finite or an infinite decimal expansion?

Mathematics
1 answer:
SpyIntel [72]3 years ago
6 0
Finite


because 65/13=5
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2.257 x 9.111 = 20.563527 or 20
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3 years ago
When Royal looked out at the Walmart parking lot, he noticed that for every 1 Lamborghini, there were 5 other types of vehicles.
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i dint understand it is this for school?

7 0
3 years ago
A radioactive substance decreases in the amount of grams by one-third each year. If the starting amount of the
katovenus [111]

Answer:

The sequence is geometric. The recursive formula is a_{n}=2/3a_{n-1}

Step-by-step explanation:

In order to solve this problem, you have to calculate the amount of the substance left after the end of each year to obtain a sequence and then you have to determine if the sequence is arithmetic or geometric.

The substance decreases by one-third each year, therefore:

After 1 year:

1452-\frac{1}{3}(1452)

Using 1452 as a common factor and solving the fraction:

1452(1-\frac{1}{3})=1452(\frac{2}{3})=968

You can notice that in general, after each year the amount of grams is the initial amount of the year multiplied by 2/3

After 2 years:

968(\frac{2}{3})=\frac{1936}{3}

After 3 years:

\frac{1936}{3}(\frac{2}{3})=\frac{3872}{9}

The sequence is:

1452,968,1936/3,3872/9....

In order to determine if the sequence is geometric, you have to calculate the ratio of two consecutive terms and see if the ratio is the same for all two consecutive terms. The ratio is obtained by dividing a term by the previous term.

The sequence is arithmetic if the difference of two consecutive terms is the same for all two consecutive terms.

-Calculating the ratio:

For the first and second terms:

968/1452=2/3

For the second and third terms:

1936/3 ÷ 968 = 2/3

In conclussion, the sequence is geometric because the ratio is common.

The recursive formula of a geometric sequence is given by:

a_{n}=ra_{n-1}

where an is the nth term, r is the common ratio and an-1 is the previous term.

In this case, r=2/3

7 0
3 years ago
The circumference of a circle is 18.84 miles. What is the circle's radius? C=18.84
Mama L [17]
We can find the radius by using the formula: C = 2(pi)(r)
We'll use 3.14 for pi.

And solve for r.

18.84 = 2(3.14)r ; Start
18.84 = 6.28r      ; Multiply 3.14 by 2
3 = r                     ; Divide both sides by the coefficient of r. Which is 6.28

So, the radius is 3 miles.

7 0
3 years ago
Read 2 more answers
the drama club has sold 942 tickets to their play if their theater seats 57 each row how many full rows were there be how many e
Alona [7]

Since 57x17=969 I did 969-942 and got 27 so there is 16 full rows and then 27 left over so that means it won’t be a full row but 27 extra seats will be filled. (If your wondering where the 17 came from that’s how many rows can be made that’s over 942 because if I did 57x16 it would equal 912 and I would not have had a full row of chairs)

3 0
3 years ago
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