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tensa zangetsu [6.8K]
3 years ago
15

Classify the decimal expansion of each fraction as a terminating decimal or a repeating decimal.

Mathematics
1 answer:
nataly862011 [7]3 years ago
8 0

Answer: 17/60 = 0.283333333333

25/60 = 0.416666666667

54/72 = 0.75

31/44 = 0.704545454545

Step-by-step explanation:

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PLEASE HELP!!!! i REALLY NEED TO GET THIS DONE AND AM HAVING TROUBLE WITH THIS ONE!!!!
zubka84 [21]

Answer:

a[n] = a[n-1]×(4/3)

a[1] = 1/2

Step-by-step explanation:

The terms of a geometric sequence have an initial term and a common ratio. The common ratio multiplies the previous term to get the next one. That sentence describes the recursive relation.

The general explicit term of a geometric sequence is ...

  a[n] = a[1]×r^(n-1) . . . . . where a[1] is the first term and r is the common ratio

Comparing this to the expression you are given, you see that ...

  a[1] = 1/2

  r = 4/3

(You also see that parenthses are missing around the exponent expression, n-1.)

A recursive rule is defined by two things:

  1. the starting value(s) for the recursive relation
  2. the recursive relation relating the next term to previous terms

The definition of a geometric sequence tells you the recursive relation is:

  <em>the next term is the previous one multiplied by the common ratio</em>.

In math terms, this looks like

  a[n] = a[n-1]×r

Using the value of r from above, this becomes ...

  a[n] = a[n-1]×(4/3)

Of course, the starting values are the same for the explicit rule and the recursive rule:

  a[1] = 1/2

7 0
3 years ago
Mr.Johnson weighs 135 pounds. Her husband weighs 80 kilogram. How many fewer pounds does Ms.Johnson weigh than her husband?
sweet-ann [11.9K]
First you convert kilograms to pounds,
1 kilogram = 2.205 pounds
next you times the number of pounds per kilogram by the number of kilograms given that need to be turned into pounds.
80 times 2.205 = 176.4
next you subtract to get the answer
176.4 - 135= 41.4
so Ms. Johnson weighs 41.4 pounds less than herr husband


3 0
3 years ago
An airplane cruises 1 kilometer in 1/12 of a minute. what is its cruising speed?
rewona [7]

Answer:

An airplane cruises 1 kilometer in 1/12 of a minute. What is its cruising speed?<u>200</u>

5 0
3 years ago
A cylinder has a volume of 105 cubic centimeter what is the volume of a cone with the same base and height?
pychu [463]

Answer:

<h2>35 cm³</h2>

Step-by-step explanation:

The formula of a volume of a cylinder:

V_1=\pi r^2H

r - radius

H - height

The formula of a volume of a cone:

V_2=\dfrac{1}{3}\pi r^2H

If the cylinder and the cone have the same base (radius) and the same height, then the volume of the cone is three times smaller than the volume of the cylinder.

V_2=\dfrac{1}{3}\underbrace{\pi r^2H}_{V_1}

Therefore:

V_2=\dfrac{1}{3}V_1\toV_2=\dfrac{1}{3}\cdot105\ cm^3=35\ cm^3

5 0
3 years ago
one customer purchases 8 bags of dog food and 2 bags of dog food. The total weight of the purchases is 44 pounds. Another custom
Svetach [21]
68 pound of dog and cat food
6 0
3 years ago
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