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Digiron [165]
3 years ago
15

For how many positive values of n are both n3 and 3n four-digit integers?

Mathematics
1 answer:
AVprozaik [17]3 years ago
5 0

Answer:

No positive value of n

Step-by-step explanation:

we have to find out for how many positive values of n are both

n^3 , 3^n our-digit integers

Let us consider first cube

we get 4digit lowest number is 1000 and it has cube root as 10.

Thus 10 is the least integer which satisfies four digits for cube.

The highest integer is 9999 and it has cube root as 21.54

or 21 the highest integer.

Considering 3^n we get,

3^10 is having 5 digits and also 3^21

Thus there is no positive value of n which satisfy that both n cube and 3 power n are four digits.

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The sum of 3 consecutive numbers is 99 what are the numbers ​
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32+33+34

Step-by-step explanation:

If I understand the question correctly, you're looking for 3 different numbers that are all consecutive that add up to be 99. The way I did it was finding 3 consecutive numbers that add to 9. 2, 3, 4. I knew the 10s place had to be a 3 because 30+30+30=90, 2+3+4=9, 90+9=99

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A building is 5 feet tall. the base of the ladder is 8 feet from the building. how tall must a ladder be to reach the top of the
iris [78.8K]

The ladder must be 9.4 ft to reach the top of the building

Here, we want to get the length of the ladder that will reach the top of the building

Firstly, we need a diagrammatic representation

We have this as;

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Thus, we have;

\begin{gathered} x^2=5^2+8^2 \\ x^2=\text{ 25 + 64} \\ x^2\text{ = 89} \\ x=\text{ }\sqrt[]{89} \\ x\text{ = 9.4 ft} \end{gathered}

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Step-by-step explanation:

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Step-by-step explanation:

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