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matrenka [14]
3 years ago
8

Find the smallest value of k such that 3240k is a perfect cube

Mathematics
2 answers:
Zarrin [17]3 years ago
3 0

Answer:

225

Step-by-step explanation:

3240k = 2×2×2×3×3×3×3×5×k

Every factor should be in groups of 3

(3×5)² = k

k = 225

kodGreya [7K]3 years ago
3 0

Answer:

Step-by-step explanation:

Prime factorize 3240

3240 = 2*2*2*3*3*3*3*5

To be a perfect cube we have to multiply it by 5*5*3*3 = 25*9=225

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Step-by-step explanation:

All you have to do is multiply

8 0
3 years ago
What factors do you think are involved in determining the pitch of the roof? Explain your reasoning.
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4 0
3 years ago
You have a fishing line spool with an end that has an area of 20.0 cm2. How much fishing line do you need to wind around the spo
lana66690 [7]
<h3>Problem Solution</h3>

Assuming the spool is a cylinder and the circumference we're winding around is that of a circle with the given area, we can write the relation between circumference and area as

... C = 2√(πA)

10 times the circumference is then

... 10C = 20√(π·20 cm²) = 40√(5π) cm ≈ 159 cm

<h3>Formula Derivation</h3>

The usual formulas for circumference and area are

... C = 2πr

... A = πr²

If we multiply the area formula by π and take the square root, we get

... πA = (πr)²

... √(πA) = πr

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3 0
4 years ago
Which is not a likely area of application of statistics in business?
Roman55 [17]

Answer:

D.

Step-by-step explanation:

Statistics has a lot of usage in business.

Using statistics as well as statistical tools helps in the provision of data to be used for business analysis. With available data we can get patterns in a a large database. Statistics can be used for auditing, as in question option b. For option c, statistics can be used for making business forecasts after the careful observation of trends and patterns that are in the data.

Option d does not make use of statistics. It has nothing to do with statistics neither does it have a computational feature.

Therefore, d.) questioning the executive's strategic decision is the answer to this question

4 0
3 years ago
Two kg of tea and 3 kg of sugar cost rupees 39 in january 1997, However in march 1997 the price of the tea increased by 25% and
Irina18 [472]

Answer: tea = 15 rupees  per kg

sugar= 3 rupees per kg

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations with the information given:

<em>"Two kg of tea and 3 kg of sugar cost rupees 39 in january 1997": </em>

2 t + 3 s =39 (a)

Where:

  • t= price of 1 kg of tea
  • s = price of 1 kg of sugar

<em>"in march 1997 the price of the tea increased by 25% (1.25)and the price of the sugar increased by 20%(1.20) and the same quantity of tea and sugar cost rupees 48.30. "</em>

2(t1.25)+3(s1.2) = 48.30 (b)

  • <em>Solving for t in (b) </em>

2t =39-3s

t = (39 -3s)/2

t = 19.5-1.5s

  • <em>Replacing the value of t in (b) </em>

2 x ((19.5-1.5s)1.25)+ 3 ( 1.2s) =48.30

2x ( 24.375 -1.875s) +3.6s =48.30

48.75 -3.75s+3.6s= 48.30

48.75-48.30 = 3.75s-3.6s

0.45= 0.15s

0.45/0.15 =s

3 =s

  • <em>Replacing the value of s in (a) </em>

2 t + 3 (3) =39

2 t + 9 =39

2 t =39 -9

2 t =30

t = 30/2

t= 15

Prices in january:

tea = 15 rupees per kg

sugar= 3 rupees per kg

Feel free to ask for more if needed or if you did not understand something.

4 0
3 years ago
Read 2 more answers
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