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ANTONII [103]
3 years ago
12

Does (lnk)/(k^3), where as k starts at one and continues on to infinity, converge? ...?

Mathematics
1 answer:
max2010maxim [7]3 years ago
7 0
Yes. The numerator does not increase as fast as the denominator increases, causing the function's value to decrease with every subsequent increase in the value of k. This causes the function to converge at a point.
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Can the following biconditional be rewritten as two conditional statements? If so, identify the two conditionals. If not, explai
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Yes. 1 of them is ' a quad. is a trap.' and the 2nd one is 'trap. has at least 1 pair of parallel sides'
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2 years ago
Find the least common multiple (LCM) of 7, 10, and 20.
Aleonysh [2.5K]

Answer:

140

Step-by-step explanation:

140 is the first multiple that all 3 numbers share.

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Find the value of the variable. Round decimal answers to the nearest tenth. x =
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15

Step-by-step explanation:

The hypotenuse of a triangle is a² + b² = c².

12² + 9² = c²

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3 years ago
Identify and interpret (explain) one other point on the graph.?
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Step-by-step explanation:

4 0
3 years ago
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Jim began a 165 mile bicycle trip to build up stamina for a triathlete competition unfortunately his bike chain broke so he fini
denpristay [2]

Answer: Approximately 4.7 hours.

Step-by-step explanation:

He rode the bicycle for some time before it broke down and he walked the remaining distance. This means that Jim covered a total of 165 miles by riding at a speed of 35 miles per hour and walking at a speed of 3 miles per hour.

Let x = the distance covered by riding the bicycle.

Let y = the distance covered by walking.

Time = distance /speed

Time he used in riding would be x/35

Time he used in walking would be y/3

Since the entire trip took 7 hours,

x/35 + y/3 = 7

3x + 35y = 735 - - - - - - - - 1

Total miles covered is 165. Therefore,

x + y = 165 - - - - - - - - -- - -2

Substituting x = 165-y into equation 1, it becomes

3(165-y) + 35y = 735

495-3y + 35y = 735

-3y + 135y = 735-495

132y = 240

y = 240/132

y = 1.81m

x = 165 - 1.81 = 163.19

Amount of time that he spent on the bicycle will be

x/35 = 163.19/35

= 4.66

Approximately 4.7 hours.

7 0
3 years ago
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