Add 25 to both sides:
Square root both sides.
When you square root a perfect square, you will get a plus/minus result:
The other solution to this answer is x = -5.
How much do you think a 12lb cat would weight on the moon? How did you decide that mathematically (bases on the information from
2 answers:
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This is a simple problem based on combinatorics which can be easily tackled by using inclusion-exclusion principle.
We are asked to find number of positive integers less than 1,000,000 that are not divisible by 6 or 4.
let n be the number of positive integers.
∴ 1≤n≤999,999
Let c₁ be the set of numbers divisible by 6 and c₂ be the set of numbers divisible by 4.
Let N(c₁) be the number of elements in set c₁ and N(c₂) be the number of elements in set c₂.
∴N(c₁) =
N(c₂) =
∴N(c₁c₂) =
∴ Number of positive integers that are not divisible by 4 or 6,
N(c₁`c₂`) = 999,999 - (166666+250000) + 41667 = 625000
Therefore, 625000 integers are not divisible by 6 or 4
We are asked to find number of positive integers less than 1,000,000 that are not divisible by 6 or 4.
let n be the number of positive integers.
∴ 1≤n≤999,999
Let c₁ be the set of numbers divisible by 6 and c₂ be the set of numbers divisible by 4.
Let N(c₁) be the number of elements in set c₁ and N(c₂) be the number of elements in set c₂.
∴N(c₁) =
N(c₂) =
∴N(c₁c₂) =
∴ Number of positive integers that are not divisible by 4 or 6,
N(c₁`c₂`) = 999,999 - (166666+250000) + 41667 = 625000
Therefore, 625000 integers are not divisible by 6 or 4
By using scientific notation we calculated (2.310⁵)(1.5
10⁴) we got 345
10⁷.
Given that,
(2.310⁵)(1.5
10⁴)
By using scientific notation
The scientific notation allows us to express extremely large or extremely small numbers by multiplying them by single-digit integers and by 10 raised to the power of the corresponding exponent. The exponent is either positive or negative depending on how big or little the number is.
Now, we calculate
(2.310⁵)=2.5
100000=230000
(1.5 10⁴)=1.5
10000=15000
Now,
=23000015000
=3450000000
=345 10⁷
Therefore, By using scientific notation we calculated (2.310⁵)(1.5
10⁴) we got 345
10⁷.
To learn more about scientific notation visit: brainly.com/question/18073768
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