Let 'x' represent the total distance from point A to point B
During the first hour he gets 0.25 of the way there: 0.25x
During the second hour he covers an additional 0.2 of the distance: 0.2x
During the third hour, he covers 0.3 of the distance: 0.3x
The total distance the biker traveled is:
0.25x + 0.2x + 0.3x = (0.25 + 0.2 + 0.3)x = 0.75x
The biker has: x - 0.75x = (1 - 0.75)x = 0.25x of the total distance left to go.
Ethan's mistakes in sorting the shapes into two groups are:
- Shape C does not belong to group 1 because it does not have square corners
- Shape F does not belong to group 2 because it does not have any square corners
<h3>How to spot the mistakes?</h3>
From the complete question (see attachment), the shapes are grouped using the following criteria:
- All the shapes in group 1 have 4 square corners
- All the shapes in group 2 have exactly 1 square corner
Using the above rules, Ethan's mistakes are: shapes C and F are placed in the wrong groups
Read more about sorting at:
brainly.com/question/15049854
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Answer:
Nicholas Tesla was a seribain American Inventor , electrical engineer and mechanical engineer .Serbian-American engineer and physicist Nikola Tesla (1856-1943) made dozens of breakthroughs in the production, transmission and application of electric power. He invented the first alternating current (AC) motor and developed AC generation and transmission technology.
<span>A quadratic equation of the form ax^2 + bx + c has a general solution of the form
x = - b +- b^2 - 4ac/2a
We shall use the expression under the radical in the formular method. The expression under the radical is called the discriminant.
If the discriminant D = b^2 - 4ac > 0 then the quadratic has two distinct real number solutions since the square root of any positive number is it self a positive number.
If D = b^2 - 4ac = 0 then we get expressions of the form (-b + 0) and (-b - 0). Regardless we end up with -b. This means when D = 0 we have one solution.
If D < 0 the quadratic equation has a conjugate pair of complex roots of the form a + bi</span>