Jerome found another feather that made the difference between the longest and shortest feather 1 3/4 inches what could be the le
1 answer:
Answer:
By assuming that shortest feather has a length of 1/4 inches, the length of the longest feather is 2 inches.
Step-by-step explanation:
A mathematical translation of the statement of the problem is:
Where x, y represent the lengths of the longest and shortest feathers, respectively. Let assume that length of the shortest feather is 1/4 inches. Then, the length of the longest feather is:
By assuming that shortest feather has a length of 1/4 inches, the length of the longest feather is 2 inches.
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Answer:
The fifth term is -1/4.
Step-by-step explanation:
We know that the first three terms of the geometric sequence is <em>x, x</em> + 2, and <em>x </em>+ 3.
So, our first term is <em>x</em>.
Then our second term will be our first term multiplied by the common ratio <em>r</em>. So:
And our third term will be our first term multiplied by the common ratio <em>r</em> twice. Therefore:
Solve for <em>x</em>. From the second term, we can divide both sides by <em>x: </em>
Substitute this into the third equation:
Square:
Simplify:
We can multiply both sides by <em>x: </em>
Expand:
Isolate the <em>x: </em>
Hence, our first term is:
Then our common ratio <em>r</em> is:
So, our first term is -4 and our common ratio is 1/2.
Then our sequence will be -4, -2, -1, -1/2, -1/4.
You can verify that the first three terms indeed follow the pattern of <em>x</em>, <em>x</em> + 2, and <em>x</em> + 3.
So, our fifth term is -1/4.
Answer:
see the explanation
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Let
x ----> the time in hours
y ----> the distance in miles
<em>Find the value of k</em>
For the point (4,2268)
The slope represent the speed of the airplane
so
The linear equation is
Part 1 :
The point (0,0) represents the starting point of the aircraft, when the time and distance are equal to zero. The cruising starts when time t = 0.
Part 2 :
The point (4, 2268) represents the plane after 4 hours of cruise , and shows it has traveled a distance of 2268 miles after 4 hours
