Ms. Anastasopoulos has 30 students. 4/5 of the students have pets. OF the students who have pets, 2/3 of them have a dog as a pe
1 answer:
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Answer:
R (t) = 60 - 60 cos (6t)
Step-by-step explanation:
Given that:
R(t) = acos (bt) + d
at t= 0
R(0) = 0
0 = acos (0) + d
a + d = 0 ----- (1)
After seconds it reaches a height of 60 cm from the ground.
i.e
Recall from the question that:
At t = 0, R(0) = 0 which is the minimum
as such it is only when a is negative can acos (bt ) + d can get to minimum at t= 0
Similarly; 60 × 2 = maximum
R'(t) = -ab sin (bt) =0
bt = k π
here;
k is the integer
making t the subject of the formula, we have:
replacing the derived equation of k into R(t) = acos (bt) + d
Since we known a < 0 (negative)
then d-a will be maximum
d-a = 60 × 2
d-a = 120 ----- (3)
Relating to equation (1) and (3)
a = -60 and d = 60
∴ R(t) = 60 - 60 cos (bt)
Similarly;
For
where ;
Then b = 6
∴
R (t) = 60 - 60 cos (6t)
Answer:
Sample model as the picture attached, which shows 2/3 of 18 are circled.
Step-by-step explanation:
Here is the correct question: Your class has 18 students. Exactly 2/3
of them say that, out of all their subjects, they like science the most. Which model shows 2/3 of 18 circled?
Given: Total number of student is 18.
2/3 of the total students like science the most.
Now, calculating the number students like the science the most.
∴ Number of students who like the science most=
12 students like the science most out of total students.
Sample model are shown in the picture attached, where out of 18 students only 12 are inside the circle to show they like science the most.
