Answer:

Step-by-step explanation:
A road is perpendicular to a highway leading to a farmhouse d miles away.
An automobile passes through the point of intersection with a constant speed
= r mph
Let x be the distance of automobile from the point of intersection and distance between the automobile and farmhouse is 'h' miles.
Then by Pythagoras theorem,
h² = d² + x²
By taking derivative on both the sides of the equation,




When automobile is 30 miles past the intersection,
For x = 30

Since 
Therefore,


Answer:
Neighborhood Q appears to have a bigger family size
Step-by-step explanation:
Mean = the sum of all data values divided by the total number of data values
Number of families in Neighborhood Q = 9
Mean family size of Neighborhood Q:
= (2 + 5 + 4 + 3 + 2 + 5 + 3 + 6 + 5) ÷ 9
= 35 ÷ 9
= 3.888888...
Number of families in Neighborhood S = 9
Mean family size of Neighborhood S:
= (2 + 3 + 2 + 3 + 7 + 2 + 3 + 3 + 2) ÷ 9
= 27 ÷ 9
= 3
The mean family size of Neighborhood Q is 3.88.. and the mean family size of Neighborhood S is 3. Therefore, Neighborhood Q appears to have a bigger family size as it's average family size is bigger than that of Neighborhood S.
Percent decrease : (original number - new number) / original number...x 100
percent decrease = (25 - 18) / 25....x 100
percent decrease = 7/25 * 100
percent decrease = 700/25 = 28%
The total number of possible fivey sequences are; 6
<h3>How to solve a sequence?</h3>
We are told we are dealing with a fivey sequence which means that all the terms of the sequence must be positive integers and they must add up to 5.
Now, the possible numbers that can be used are;
1, 2 and 3.
If we start with 3, number of possible sequences is; 1
If we start with1, number of possible sequences is; 3 ways
If we start with 2, number of possible sequences is; 2 ways
Thus;
Total number of fivey sequences is 1 + 2 + 3 = 6 possible sequences
Read more about Sequence at; brainly.com/question/13612968
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Answer:
12 m
Step-by-step explanation:
Given that the design, ABCD, was dilated to get a photocopy, EFGH, a scale factor or ratio was multiplied by the original lengths of the design to get the new measurement of the photocopy.
Thus, we are given the ratio, CD:GH = 2:3.
This means, any of the corresponding lengths of both figures would be in that same ratio.
Using the ratio of the design to the photocopy, 2:3, we can find the length of side EH of the photocopy.
The corresponding side of EH in the design is AD = 8m. Thus, AD to EH = ⅔


Cross multiply


Divide both sides by 2 to make EH the subject of formula


The length of side EH = 12 m