Answer:
1. What are the amplitude and period of the sine function that indicates the positioning of the band members as they start performing?
Answer: The amplitude is 80 ft and the period is 60 ft.
2. Edna, seated in the stands, faces Darla and notices that the sine curve starts rising from the left edge of the field. What is the equation for the sine function representing the arrangement of band members at the beginning of their performance?
Answer: y = 80cos(x*π/30)+80
3. When the band starts playing, the members move away from the edges, and the sine curve changes to start decreasing at the far left. Darla remains in her position. Now the sine curve is half as tall as it originally was. What is the equation for the updated sine curve depicting the band members' positions?
Answer: y = 40cos(x*π/30)+80
4. Finally, the entire band shifts closer to the edge of the football field, causing the sine curve to now position itself in the lower half of the field from Edna’s perspective. What is the equation for this sine curve reflecting the band members' positions after these adjustments?
Answer: y = 40cos(x*π/30)+40
Step-by-step explanation:
Evaluate 0.1m+8-12n0.1m+8−12n0, point, 1, m, plus, 8, minus, 12, n when m=30m=30m, equals, 30 and n=\dfrac14n= 4 1 n, equals,
PIT_PIT [12445]
Answer:
8
Step-by-step explanation:
The task is to evaluate:
0.1m + 8 - 12n
When 
By substituting these values into the expression, we have:
Step-by-step explanation:
Given are
Sides of the triangle measure 4 units, 6 units, and 7.21 units.
We need to compute the area of a circle whose circumference matches the triangle's perimeter.
The triangle's perimeter corresponds to the circle's circumference.
4 + 6 + 7.21 = 2πr, where r is the radius of the circle.
r = 2.73 units
Circle's area is:
or
A = 24 square units
Thus, the circle’s area is 24 square units.
Response: 7
Detailed explanation:
A Venn diagram can help visualize this problem.
There are a total of 5 students interested in both French and Latin.
Out of these, 3 students also want to learn Spanish, meaning only 2 students want solely French and Latin.
Moreover, there are 5 students who wish to study only Latin.
This results in 1 student wanting both Latin and Spanish, calculated by 11 - 5 - 3 - 2.
There are 8 students who desire only Spanish, and 4 students who want both Spanish and French.
In the same manner, those wishing to study only French amount to 16 - 4 - 3 - 2 = 7.
H (t) = - 16t ^ 2 + 16t + 480
To address this, we first set the polynomial to zero to find its roots.
So we have:
0 = -16t ^ 2 + 16t + 480
This leads us to the roots of the polynomial:
t1 = -5
t2 = 6
We disregard the negative root since time cannot be less than zero.
Final answer:
Rose takes about
t = 6 seconds
