Answer:
Morgan, Dakota, and Taylor demonstrated their calculation for the problem 7x + 5x + 1 = 73. Point out which student made an incorrect initial step and explain your reasoning. Morgan: 7x + 5x + 1 = 73 12x + 1 = 73 Dakota: 7x + 5x + 1 = 73 7x + 6x = 73 Taylor: 7x + 5x + 1 = 73 7x + 5x = 72
Step-by-step explanation:
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:
Additional 300 grams of flour will be required.
Answer: D. 45 inches, 75 inches
Step-by-step explanation:
To resolve this inquiry, we first need to divide the board's total length by the number of segments forming the two sections.
Given the ratio of 3:5, one section consists of 3 segments and the other of 5, making a total of 8 segments.
120 divided by 8 equals 15 inches for each segment.
Next, we multiply the length of each segment by how many segments each section has (3 and 5).
15 times 3 equals 45 inches.
15 times 5 equals 75 inches.
