Answer:
m^2+n/2-17
Step-by-step explanation:
The value of the x is 3.22 if the eˣ = 25 after taking the log both side and lne is 1.
<h3>What is a logarithm? </h3>
It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
We have:
Taking ln both side:
xlne = 3.218
x = 3.218 (lne = 1)
or
x = 3.22
Thus, the value of the x is 3.22 if the eˣ = 25 after taking the log both side and lne is 1.
Learn more about the Logarithm here:
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Answer:
C
Step-by-step explanation:
Use Pythagorean theorem
X^2 + 44^2 = 55^2
X^2 = 55^2 - 44^2
= 3025 - 1936
X^2 = 1089
X = sqrt (1089)
X = 33
9 pounds because 3.2 kilograms is 7.055 pounds
Answer:
3 pennies, 9 nickels, and 6 dimes
Step-by-step explanation:
We have three conditions:
(1) p + n + d = 18
(2) 0.01p + 0.05n + 0.10d = 1.08
(3) d = 2p
Multiply (2) by 100 and rearrange (3) to get a standard array.
(4) p + n + d = 18
(5) p + 5n + 10d = 108
(6) -2p + d = 0
Subtract (4) from (5). This gives
(4) p + n + d = 18
(7) 4n + 9d = 90
(6) -2p + d = 0
Multiply (4) by 2 and add to (6). This gives
(4) p + n + d = 18
(7) 4n + 9d = 90
(8) 2n + 3d = 36
Double (8) and subtract from (7). This gives
(4) p + n + d = 18
(7) 4n + 9d = 90
(9) 3d = 18
Divide (9) by 3. This gives
(10) d = 6
Substitute (10) into (7). This gives
4n + 9(6) = 90
4n + 54 = 90
4n = 36
(11) n = 9
Substitute (10) and (11) into (4). This gives
p + 9 + 6 = 18
p + 15 = 18
p = 3
Sasha has 3 pennies, 9 nickels, and 6 dimes.