Note: The third term of the sequence should be instead of
, otherwise the sequence has no common ratio.
Given:
The given sequence is
To find:
The common ratio of the given sequence.
Solution:
The quotient of each pair of consecutive terms are:
Similarly,
And,
Therefore, the common ratio of the given sequence is or 0.75.
Answer:
The required graph is shown below.
Step-by-step explanation:
Consider the provided equation
We need to draw the graph of the equation.
Put x=0 in the above equation.
The coordinate is (0,2).
Put y=0 in the given equation.
The coordinate is (,0).
Now draw the graph by using the above coordinates.
The required graph is shown below.
Answer:
Step-by-step explanation:
For a triangle the area is
If our triangle is isosceles and the 2 congruent sides each measure 4 and they include an angle of 40 degrees, let's say that the vertex angle is 40 and the sides that are not the base each measure 4. If we drop an altitude from the vertex to the base, we cut the triangle into 2 right triangles, with the vertex angle being 20 degrees and the hypotenuse being 4. To find the base, then, which is opposite the angle, we use the sin ratio:
and
4sin(20) = b so
b = 1.368
But we need the whole base, and that is only half of it. So
2b = 2.736
To find the height, which is adjacent to the angle, we use the cos ratio:
and
4cos(20) = h so
h = 3.759
Now we have enough info to find the area of the triangle using the triangle area formula from above:
and
A = 5 meters squared.
An exponential function is given by the following form:
Here we know two points:
Finally, our exponential function is:
Behavior of functions: brainly.com/question/12891789
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