Identify JIG --->DEF as a reflection, translation, rotation, or glide reflection. Find the reflection line, translation rule,
center and angle of rotation, or glide translation rule and reflection line.
2 answers:
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Answer:
<em>1364</em> is the number of possibilities for positive integers less than 1,00,000.
Step-by-step explanation:
<em>1. 5 digit numbers:</em>
We have 5 places here, and each place can have 4 options because repetition is allowed.
So, total number of possibilities for 5 digit numbers:
<em>2. 4 digit numbers:</em>
We have 4 places here, and each place can have 4 options because repetition is allowed.
So, total number of possibilities for 4 digit numbers:
<em>3. 3 digit numbers:</em>
We have 3 places here, and each place can have 4 options because repetition is allowed.
So, total number of possibilities for 3 digit numbers:
<em>4. 2 digit numbers:</em>
We have <em>2</em> places here, and each place can have 4 options because repetition is allowed.
So, total number of possibilities for 2 digit numbers:
<em>5. 1 digit numbers:</em>
We have 1 place here, and each place can have 4 options because repetition is allowed.
So, total number of possibilities for 1 digit numbers:
We can add all the above possibilities to find the total.
So, number of positive integers less than 100,000 whose digits are among 1, 2, 3, and 4 = 1024 + 256 + 64 + 16 + 4 = <em>1364</em>
The function p(t) for the number of visitors over 1-year is an exponential function
- The increasing interval is: [33,52]
- The decreasing interval is: [0, 33]
- There is no critical point
The function is given as:
p(t) = 119 + (t-83)e^0.02t
Start by plotting the graph of the function p(t).
From the graph (see attachment), we have the parameters to be:
- Increasing: [33,52]
- Decreasing: [0, 33]
- Critical point = None
Hence, the function has no critical point
Read mroe about critical points at:
