Answer:
1/64
Step-by-step explanation:
1/64=(1/8)^2
1/64=(1/4)^3
Trains depart after every 4 minutes.
Total time train takes to complete a circuit= 24 minutes
Evan sets off at 8:30 am, so he will be back at 8:54 am.
So time of trains coming in opposite direction:
8: 34 am
8:38 am
8:42 am
8:46 am
and 8:50 am
5 trains coming in opposite directions.
Now the trains started at 8:06 am from the stations are:
8:06 am
8:10 am
8:14 am
8:18 am
8:22 am
and 8:26 am.
So there are 6 trains started the circuit at 8:06 am.
Now total number of trains=6+5=11 trains
Answer: 11 trains will pass on complete circuit.
Answer: The graph shows exponential decay
The graph shows y = 2^x reflected over the y-axis
Step-by-step explanation:
When<u> 0<b<1 </u>, the graph shows <u>exponential decay</u>. In this case, b was equal to 1/2 as shown by the graph alongside the question. Therefore, the graph shows exponential decay.
The graph of y = 2^x would show a reflection of y = 1/2 ^x over the y-axis, therefore the graph shows <u>y = 2^x reflected over the y-axis</u>.
The amount needed to purchase materials needed to cover the area of the triangular flag is: $54.
<h3>What is the Area of a Triangle?</h3>
Area of a triangle = 1/2(bh)
Given the dimensions of the flag as the following:
base (b) = 18 in.
height (h) = √(41² - 9²) = 40 in.
Area of the flag = 1/2(18)(40) = 360 in.²
Cost of material needed = (360)(0.15) = $54
Learn more about area of a triangle on:
brainly.com/question/9030437
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The two integers are 3 and 9.
3^2+9^2=90
9*3=27
9+3=12
The sum of the two integers is 12.
