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2 years ago

How many terms does the polynomial have?

Mathematics

1 answer:

ollegr [7]2 years ago

4 0

Answer: 4

Step-by-step explanation:

There are 4 terms, $p^3,4pq^2,q^2,3q$

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A guitar string is plucked at a distance of 0.6 centimeters above its resting position and then released, causing vibration. The

liubo4ka [24]

Answer:

The equation that represents the motion of the string is given by:

$y =Ae^{-kt}\cos(2\pi ft)$ .....[1] where t represents the time in second.

Given that: A = 0.6 cm (distance above its resting position) , k = 1.8(damping constant) and frequency(f) = 105 cycles per second.

Substitute the given values in [1] we get;

$y =0.6e^{-1.8t}\cos(2\pi 105t)$

$y =0.6e^{-1.8t}\cos(210\pi t)$

(a)

The trigonometric function that models the motion of the string is given by:

$y =0.6e^{-1.8t}\cos(210\pi t)$

(b)

Determine the amount of time t that it takes the string to be damped so that $-0.24\leq y \leq0.24$

Using graphing calculator for the equation

$y =0.6e^{-1.8x}\cos(210\pi x)$

let x = t (time in sec)

Graph as shown below in the attachment:

we get:

the amount of time t that it takes the string to be damped so that $-0.24\leq y \leq0.24$ is, 0.5 sec

4 0

3 years ago

Can someone please help me with these questions.

Juli2301 [7.4K]

Answer:

Question 1 - 81.74 Pound sterling

Question 2 - 20.28 Pound sterling

Question 3 - 21.72 United States Dollar

Question 4 - 429.38 New Zealand Dollar

Question 5 - 451.28 Euro

Question 6 - 2,936.88 Chinese Yuan

(That's all I got.)

5 0

2 years ago

8. Sam divided a rectangle into 8 congruent

S_A_V [24]

Sam divided a rectangle into 8 congruent rectangles that each have a area of 5 cm2. what is the area of the rectangle before it is divided?

Answer:

$Area\ of\ the\ rectangle = 40\ cm^{2}$

Step-by-step explanation:

Given:

Sam divided a rectangle into 8 congruent rectangles that each have an area of $5\ cm^{2}$

We need to find the area of the rectangle before Sam divided it.

The area of the rectangle before Sam divided is 8 times of the area of the congruent rectangles.

Area of the rectangle = $8\times (area\ of\ congruent\ rectangles)$

Area of the congruent rectangle is $5\ cm^{2}$

So the area of the rectangle is

Area of the rectangle = $8\times 5$

Area of the rectangle = $40\ cm^{2}$

Therefore the area of the rectangle before divided is $40\ cm^{2}$

4 0

2 years ago

Denise and Jacqueline are training for a swimming and running race.

bezimeni [28]

Answer:

Jacqueline runs at 6.25 minutes per mile

Step-by-step explanation:

Here we have that the total training time for Jacqueline = 54 minutes

The time for which Jacqueline swims = 30 minutes

Therefore, the time in which Jacqueline runs = 54 min. - 30 min. = 20 minutes

Therefore the equation for Jacqueline's speed = Distance/Time we have

Jacqueline's pace = 3.2 miles/20 minutes = 0.16 miles/minute

Therefore Jacqueline's pace = 0.16 miles/minute

The equation for Jacqueline's pace in miles/minute is presented as follows

Jacqueline's pace in miles/minute = Time of running/Distance

Jacqueline's pace in miles/minute = 1/0.16 miles/minute = 6.25 minutes/mile.

5 0

2 years ago

Which inequality represents this situation? The number of students, s, who ride in a bus is less than 30. A. S < 30 B. S >

mezya [45]

Answer:

A.s<30

Step-by-step explanation:

We are given that

Number of students who ride in a bus=s

We have to find the inequality which represents the given situation.

According to question

s<30

A.s<30

It is true.

B.s>30

It is false because s is less than 30

C. $s\geq 30$

It is false because s<30

D. $s\leq 30$

It is false because s<30

Option A is true.

7 0

2 years ago