The domain of the logarithm function is (0, ∞) and the range of the logarithm function will be (-∞, ∞)
<h3>What are domain and range?</h3>
The domain means all the possible values of the x and the range means all the possible values of the y.
The table is shown below.
Let the logarithm function with the variables x and y. Then we have
y = logₐ x
At x = 25, the value of y will be 2. Then the value of a will be
2 = logₐ 25
2 = 2 logₐ 5
1 = logₐ 5
Then 1 can be written as
1 = log₅ 5
Then on comparing, the value of a will be
a = 5
Then the logarithm function will be
y = log₅ x
Then the domain of the logarithm function is (0, ∞) and the range of the logarithm function will be (-∞, ∞)
More about the domain and range link is given below.
brainly.com/question/12208715
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Answer:
The area of the label is 36*pi in²
Step-by-step explanation:
A can of soup has a shape of a cylinder, therefore it's volume is equal to:
Volume = pi*r²*h
We need to use the formula above to find the radius of the base, because we need to calculate the lateral area of the cylinder, which is given by:
Lateral area = 2*pi*r*h
Applying the data from the problem we have:
54*pi = pi*r²*6
pi*r²*6 = 54*pi
r² = 54*pi/(pi*6)
r² = 54/6 = 9
r = sqrt(9) = 3 in
Therefore the lateral area is:
lateral area = 2*pi*(3)*(6) = 36*pi in²
Answer:
A={Delaware, Pennsylvania, New Jersey}
|B|=3
Step-by-step explanation:
B={New Hampshire, Virginia, New York}
Answer:
x=25/3 & y=125/3
Step-by-step explanation:
Let first number be x
Second number be y
x+y=50
y=5x
=>x+5x=50
=>6x=50
=>x=50/6
=>x=25/3
Answer:
a) 5 people
b) Yes.
Step-by-step explanation:
The best way to solve this problem is to use the amount of work needed each week and divide it by the amount worked by each person (150/32). This will give you 4.6875. However, you cannot have 6/10 of a person, so you must round up to the next whole number, 5. There are 5 people needed to fulfill the amount of hours posted. For Part B, you will be decreasing the hours worked by each person from 32 to 30. Use the same method you did above and divide the total amount of work needed by the amount worked by each person (150/30) to get 5 on the dot. Your answer is Yes.
I hope this helps! Good luck!
