Answer:
The base is 0.1
The base is less than 1 so the function is decreasing
The x intercept is (3,0)
Step-by-step explanation:
The base of a logarithm refers to the number that must be raised to the power of the number on the right hand side of the logarithmic equation in order to yield the number on the left hand side of the logarithmic equation. It is always written as a subscript below the log symbol. In this case, the base is 0.1.
When the base of a logarithm is less than 1, it means that the function is decreasing as is the case in this question.
Looking at the graph, the x axis is cut at the point (3,0). This is the x-intercept of the graph.
Answer:
x=pi/3 + 2pi*k
x=2pi/3+2pi*k
Step-by-step explanation:
sin(x)=sqrt(3)/2
This happens twice in the first rotation on our unit circle.
It happens in the first quadrant and in the second quadrant. Third and fourth quadrants are negative for sine.
So we are looking for when the y-coordinate on the unit circle is sqrt(3)/2.
This is at pi/3 and 2pi/3.
So we can get all the solutions by adding +2pi*k to both of those. This gives us a full rotation about the circle any number of k times. k is an integer.
So the solutions are
x=pi/3 + 2pi*k
x=2pi/3+2pi*k
Answer:
p = 11145.96
Step-by-step explanation:
If x is an exponent and 1.01 its base then we are looking at a case of compound increments and the profit can be said to be earning compound interest at a rate of 1%. The profit of the store after 6 months is found by simply substituting x with 6 in the equation of p; p = 10500(1.01)^6
7 days in a week, 3 days a rotation.
multiples of 7: 7, 14, 21, 28
multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24
the LCM is 21, because it is the smallest multiple of both numbers. there will be 21 more days until you take dance class on mondays.
