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professor190
3 months ago
6

I JUST NEED THESE 3 QUESTIONS

Mathematics
1 answer:
AnnZ [12.3K]3 months ago
8 0

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:

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HELP PLEASE!
Zina [12379]

Answer:

Option 2  50 ≤ s ≤ 100

Option 5 She can make a deposit of $50

Option 6 She can make a deposit of $75

Detailed explanation:

Let

s represent the amount of money Layla puts into her savings account.

We know that

25% = 25/100 = 0.25

50% = 50/100 = 0.50

Thus

s\geq 0.25*200 -----> s\geq \$50

s\leq 0.50*200 -----> s\leq \$100

The compound inequality is

\$50 \leq s\leq \$100

Check each case

case 1) 25 ≤ s ≤ 50

This statement is false

Refer to the procedure

case 2) 50 ≤ s ≤ 100

This statement is true

Refer to the procedure

case 3) s ≤ 25 or s ≥ 50

This statement is false

Because s ≤ 100 and s ≥ 50

case 4) s ≤ 50 or s ≥ 100

This statement is false

Because s ≤ 100 and s ≥ 50

case 5) She can make a deposit of $50

This statement is true

As the value of s meets the compound inequality  \$50 \leq s\leq \$100

case 6) She can make a deposit of $75

This statement is true

As the value of s meets the compound inequality  \$50 \leq s\leq \$100

3 0
2 months ago
Read 2 more answers
The Sears Tower, at 1,451 feet, is one of the tallest structures in the United States. A penny is thrown from the top of the tow
Leona [12618]

Answer:

The formula representing the penny's height as a function of time is:

h(t)=1451-16t^2

After 7 seconds, the height of the penny will reach 667 feet.

Step-by-step explanation:

The penny experiences free fall.

With an initial velocity of zero and an initial height of h(0)=1,451.

Gravity acts as the acceleration, measured as g=32 ft/s^2.

The model can be initiated by analyzing speed:

dv/dt=-g\\\\v(t)=v_0-gt=-gt

Then, the height is expressed as:

dh/dt=v(t)=-gt\\\\h(t)=h_0-\dfrac{gt^2}{2}=1451-\dfrac{32}{2}t^2\\\\\\h(t)=1451-16t^2

The height of the penny at approximately 7 seconds can be calculated as:

h(7)=1451-16(7^2)=1451-16*49=1451-784=667

After 7 seconds, the penny will stand at a height of 667 feet.

6 0
3 months ago
Which pair represents the same complex number?
tester [12383]
In this scenario, we have the complex number:
1 + i
The corresponding pair is represented as:
root (2) * (cos (pi / 4) + i * sin (pi / 4))
By rewriting this, we have:
root (2) * (root (2) / 2 + i * (root (2) / 2))
(2/2 + i * (2/2))
(1 + i)
Answer:
option A shows a pair representing the same complex number
4 0
2 months ago
Read 2 more answers
Millie has a box of 1 hundred cubes. She also has a bag of 70 cubes. How many trains of 10 cubes can she make?
Zina [12379]
100 plus 70 equals 170

170 divided by 10 equals 17

That makes 17 trains of 10 cubes
5 0
3 months ago
Read 2 more answers
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