The degree and direction of rotation that takes ΔQRS to ΔQ'R'S' is:
45 degrees; anticlockwise direction.
<h3>What is rotation in math?</h3>
The transformation by rotation refers to the movement of a shape or point in a circular path about a fixed point.
When the shape moves in an anticlockwise direction, it means that It is going in the opposite way as the hands of a clock do.
Learn more about rotation in math:
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Answer:
Step-by-step explanation:
refers to the permutations of 5 items taken 3 at a time. To evaluate this, we use factorials as follows;
The factorial of an integer n is evaluated as;
Using this concept, the above expression can now be simplified as follows;
Therefore, the permutations of 5 items taken 3 at a time is 60.
The next expression, 
refers to the combinations of 6 items taken 4 at a time. The simplification utilizes similar concepts of permutations since we shall be involving factorials;
Therefore, the combinations of 6 items taken 4 at a time is 15.
The final step is to evaluate the product;
Slope = 0
b = 5
equation
y = 5
Answer:
- half-life: 95.3 days
- 60% life: 70.2 days
Step-by-step explanation:
a) The proportion remaining (p) after d days can be described by ...
p = (1 -0.73)^(d/180) = 0.27^(d/180)
Then p=1/2 when ...
0.50 = 0.27^(d/180)
log(0.50) = (d/180)log(0.27)
180(log(0.50)/log(0.27) = d ≈ 95.3
The half-life is about 95.3 days.
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b) For the proportion remaining to be 60/100, we can use the same solution process. In the end, 0.50 will be replaced by 0.60, and we have ...
d = 180(log(0.60)/log(0.27) ≈ 70.2 . . . days
60 mg will remain of a 100 mg sample after 70.2 days.
Answer:
11.25
Step-by-step explanation:
you will divide the total time (45 mintues) by the 4 speakers bc the question said tht each speaker will have the same time (evenly divided time)
