Answer:
Sample space: {1, 2, 3, 4, 5, 6}
Simple event
Step-by-step explanation:
Sample space is a list of all the possible outcomes.
This is a simple event because you are only doing one event, such as rolling a die.
A compound event would be multiple simple events, such as flipping a coin <em>and </em>choosing a marble from a bag.
Answer:
The rate of change of the area of the circle is approximately 
.
Step-by-step explanation:
Given:
radius 
We need to find the rate of change of the area of the circle at that instant.
Solution:
Now we know that;
Area of the circle is given by π times square of the radius.
framing in equation form we get;
to find the rate of change of the area of the circle at that instant we need to take the derivative on both side.
Substituting the given values we get;
Hence The rate of change of the area of the circle is approximately .
It is "reflect the graph about the x-axis and translate 2 units up" because the negative in front of the four flips everything over the x axis and 9-7 = 2, which means it moves up the y axis 2 units.
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Opposite angles in a parallelogram are congruent, so 3x+40 = x+50 and x = 5. That means that those 2 angles measure 3(5)+40 = 55, and the other 2 angles, which are congruent to each other, add up with the other to equal 360. 360-55-55=250. Divide that between the other 2 remaining angles to get that those angles each measure 125.
