The domain of the provide function where the function is defined is x less than the number three.
<h3>What is the domain of the function?</h3>
Domain of a function is the set of all the possible input values which are valid for that function.
The function given in the problem is,
The above function is the function of logarithm. For the logarithmic function, it is defined for all the real numbers except 0.
Thus, the function should be greater than zero as,
Change the sign of both side, by changing the inequality,
Thus, the domain of the provide function where the function is defined is x less than the number three.
Learn more about the domain of the function here;
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Answer:
see explanation
Step-by-step explanation:
Using De Moivre's theorem
Given
[ 4(cos15° + isin15° ) ]³, then
= 4³ [ cos(3 × 15°) + isin(3 × 15°) ]
= 64 (cos45° + isin45° )
= 64 (
+ i )
= 64 ( (1 + i) )
= 32
(1 + i)
= 32 + 32 i
The total amount spent on gas is $9.
<h3>How much is spent on gas?</h3>
Multiplication is the mathematical operation that is used to determine the product of two or more numbers. Multiplication is the method that is used to add a number by itself a particular number of times. The sign used to denote multiplication is x. Other mathematical operations are subtraction, division and addition.
In order to determine the total amount spent on gas, multiply the cost of one gallon by the number of hours skied and the amount of galloons used per hour.
The total amount spent on gas = cost of one gallon of gas x number of hours skied x number of gallons used per hour
2 x 3 x $2.25 = $9
To learn more about multiplication, please check: brainly.com/question/3385014
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Answer:
x = 12, z = 86
Step-by-step explanation:
Two angles are called supplementary when their measures add up to 180 degrees.
(12x -58 + 13x - 62 ) = 180°
12 x + 13x -58 - 62 = 180°
25x - 120 = 180
25x = 180 + 120
x = 300/ 25
x = 12
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(z° + 13x - 62) = 180
(z° + 13(12) - 62 )= 180
(z° + 156 - 62 )= 180
(z° + 94 ) = 180
z° = 180 - 94
z = 86
Answer:
triangle A andC are the same
