Answer:
The stone would take approximately 10.107 seconds to fall 500 meters.
Step-by-step explanation:
According to the statement of the problem, the following relationship of direct proportionality is built:
Where:
- Time spent by the stone, measured in seconds.
- Height change experimented by the stone, measured in meters.
- Proportionality constant, measured in 
.
First, the proportionality constant is determined by clearing the respective variable and replacing all known variables:
If 
and 
, then:
Then, the expression is 
. Finally, if 
, then the time is:
The stone would take approximately 10.107 seconds to fall 500 meters.
Answer:
The equation given in the question matches the situation C.
Step-by-step explanation:
A. The amount that Cindy paid for books was 15% of p i.e. it is only 
B. The amount is given to a charity after saving 15% of p. That means if p is the amount of charity, then there were a savings of 15% of p.
Therefore, the total charity payment after savings = p - 15% of p = 
C. The amount that Sandy paid for a shirt with 15% tax on p.
Therefore, if the price of a shirt is p, then total payment of Sandy after tax is = p + 15% of p = 
Hence, the equation given in the question matches the situation C. (Answer)
Answer:
- Benito's error was using the equal sign (=) instead of the congruency symbol (≅).
Explanation:
Benito's error was using the equal sign (=) instead of the congruency symbol (≅).
The congruency symbol (≅) means that the elements (segments, angles or figures in general) have the same measure, i.e. they have equal lengths for the segments or equal measure for the angles.
For instance, it is an error saying that the segment AB is equal to the segment BC because, as you clearly see in the picture, they are not same; they have the same length but they are joining different points, that makes them different in essence, although they have the same length. They would be equal only if they are the same figure.
In mathematics, you must not say that two different segments or two different angles are equal but they are congruent, which means that their lengths are equal. The use of equal is reserved for numbers and variables, not for figures like segment, points, angles, polygons.
Answer:
The solution of the inequality is x ≤ -4. A graph of the solution should have a vertical line passing through x = -4 and be shaded to the left of x = -4
Step-by-step explanation:
-7x + 13 ≥ 41
Subtract 13 from both sides
-7x ≥ 28
Dividing both sides by the -7 changes the inequality sign and we have
x ≤ -4
Hence, the solution of the inequality is x ≤ -4 and the graph of the solution should have a vertical line passing through x = -4 and it should be shaded to the left of x = -4 indicating that only numbers less than or equal to -4 are possible solutions of the inequality.
Hope this Helps!!!
Answer:
can I see a copy of the picture? I will edit answer once I can see the picture of the gingerbread man
