40 cm.
let the length of the first part be 3x, second part be 4x, third part be 5x.
where x is a positive length in cm.
why 3x,4x and 5x ?
so that the ratio of lengths of the 3 parts be 3:4:5.
total length of the stick = 3x + 4x + 5x = 12x=96cm
so x=96/12 = 8cm
therefore the largest part of the stick (5x)= 5*8 =40cm
Answer:
√(110 - n)
Step-by-step explanation:
This can't be simplified. All we can do here is re-write "square root of 110 - n" symbolically, which comes out to √(110 - n). The parentheses are essential for clarity.
Answer:
a. 1.75
Step-by-step explanation:
r values, or the correlation coefficient must be between -1 and 1, inclusive
-1 is a perfect negative correlation
0 is no correlation
+1 is a perfect positive correlation
1.75 is not between -1 and 1
The correct anwer is option C and option E which are √4<√5<√√55 and √8<2.9<√√9.
<h3>What is inequality?</h3>
Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
The two inequalities √4<√5<√√55 and √8<2.9<√√9. are true.
√4<√5<√√55 → 2 < 2.23 < 7.41
√8<2.9<√√9 → 2.82 < 2.9 < 3
Therefore correct answers is option C and option E which are √4<√5<√√55 and √8<2.9<√√9.
To know more about inequality follow
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Answer: it will take 13.3 years
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = 6000
A = 10000
r = 4% = 4/100 = 0.04
n = 12 because it was compounded 12 times in a year.
Therefore,.
10000 = 6000(1 + 0.04/12)^12 × t
10000/6000(1 + 0.0033)^12t
1.67 = 1.0033^12t
Taking log to base 10 of both sides, it becomes
Log 1.67 = 12tLog 1.0033
0.223 = 12t × 0.0014
0.223 = 0.0168t
t = 0.223/0.0168
t = 13.3 years
