0.00037 = 3.7×10^-4
37,000 = 3.7×10^4
_____
The exponent of 10 is the place-value multiplier that the most-significant digit has.
In the first number, the most-significant digit (3) is multiplied by 0.0001 to find its place value. Of course 0.0001 = 10^-4.
In the second number, the most significant digit (3) is multiplied by 10,000 to find its place value. You know that 10,000 = 10^4.
Based on the graph given, the coordinates of the vertices of the image are (4,4) (6,4) (4,7).
<h3>What is the coordinate about?</h3>
In the graph above, the coordinate given are: (1,1) (3,1) (1,4) To be able to find the coordinates of the vertices, we need to translate 3 square up and also 3 square down and as such it will be:
(x + 3, y + 3)
( 1 + 3, 1 + 3) = (4,4)
( 3 + 3, 1 + 3) = (6,4)
( 1 + 3, 4 + 3) = (4,7).
Therefore, Based on the graph given, the coordinates of the vertices of the image are (4,4) (6,4) (4,7).
Learn more about coordinates from
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Answer:
- a) 6.5 seconds
- b) 13 seconds
- c) 679 ft
Step-by-step explanation:
<u>Given function:</u>
a) <u>Maximum height is the vertex.</u> The ball reaches the maximum after:
- h = -208/2(-16) = 6.5 seconds
b) <u>Time the ball was in the air:</u>
Solving we get approximately t = 13 seconds
c) <u>Maximum height is at vertex, we found t above:</u>
- h(6.5) = -16(6.5)^2 + 208*6.5 + 3 = 679 ft
Answer:
A rational number is a number able to be put into a fraction, an irrational number is not able to be. Therefore, when adding the two, the rational and the irrational will be irrational. For example, 2 is a rational number, and 1.8903 is irrational. If you add the two, you will get 3.18903, which is unable to be put into a fraction.
