MATHEMATICS HIGH SCHOOL

A car traveling at 60 miles per hour. What is this speed in feet per second?

Answers

Answer 1
Answer: The answer is 88 ft/s

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A particle moves along the x-axis so that at any time t, measured in seconds, its position is given by s(t) = 4sin(t) - cos(2t), measured in feet. What is the acceleration of the particle at time t = 0 seconds?

Answers

Answer:

The acceleration of the particle at time t = 0 seconds is:

                       4  feet per square  second.

                         i.e.   4 ft/s²

Step-by-step explanation:

We are given a position function in terms of the time t as:

s(t)=4\sin (t)-\cos (2t)

Now, we are asked to find the acceeleration of the particle at time t = 0 seconds.

We know that the acceleration of a particle is given by:

a=(d)/(dt)v

where v is the velocity of the particle which is calculated by:

v=(d)/(dt)s

Hence, we get:

a=(d)/(dt)((d)/(dt)s)\n\ni.e.\n\na=(d^2)/(dt^2)s\n\ni.e.\n\na=s''(t)

i.e. the acceleration of the particle is the double derivative of the position.

s'(t)=4\cos (t)+2\sin (2t)

and

s''(t)=-4\sin (t)+4\cos (2t)

i.e.

a(t)=-4\sin (t)+4\cos (2t)\n\ni.e.\ at\ t=0\ we\ have:\n\na(0)=-4\sin 0+4\cos 0\n\ni.e.\n\na(0)=4

Three individuals form a partnership and agree too divide the profits equally. X invest -9,000 , Y invest 7,000, Z invest 4,000. How much less does X receive if the profits were divided in proportion to the amount invested ?

Answers

If there is no equal profit, X could receive 9000:(9000+ 7000 + 4000)*. 100%= 45% however, the profit are divided equally as 33 % each. so there are 45-33 = 12% less of profit X could receive

How many sides does a polygon have if the sum of its angle measures is 2700 degrees and how do you find this?

Answers

the\ sum\ of\ angle\ measures\ is\ 2700^0\n\n(n-2)\cdot180^0=2700^0\nn-the\ number\ of\ the\ sides\ of\ the\ polygon\n\nn-2= (2700)/(180) \ \ \ \Rightarrow\ \ \ n-2=15\ \ \ \Rightarrow\ \ \ n=17\n\nAns.\ 17\ sides\ of\ the\ polygon.
The number of angles equal the number of sides


The number of angles calculate: (n-2)x180°

(n-2)x180°=2700°    |divide both sides by 180°

n-2=15    |add 2 to both siedes

n=13

Answer: 13 sides.

How many edges does a cube have?

Answers

A cube has 12 edges ( 4 on top, 4 under and 4 from top to bottom)

Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is . For one performance, advance tickets and same-day tickets were sold. The total amount paid for the tickets was . What was the price of each kind of ticket

Answers

Answer:

Advance tickets=$25

Same-day tickets=$15

Step-by-step explanation:

Complete question below:

Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $ 40. For one performance, 25 advance tickets and 30 same-day tickets were sold. The total amount paid for the tickets was $1075 . What was the price of each kind of ticket?

Let

advance tickets=x

Same-day tickets=y

Combined cost of advance and same-day tickets=$40

It means,

x+y=40 Equ (1)

25 advance tickets and 30 same-day tickets=$1075

It means,

25x+30y=1075 Equ(2)

From (1)

x+y=40

x=40-y

Substitute x=40-y into (2)

25x+30y=1075

25(40-y)+30y=1075

1000-25y+30y=1075

5y=1075-1000

5y=75

Divide both sides by 5

5y/5=75/5

y=15

Recall,

x+y=40

x+15=40

x=40-15

=25

x=25

Advance tickets=$25

Same-day tickets=$15

Check

25x+30y=1075

25(25)+30(15)=1075

625+450=1075

1075=1075

(5x2 + 2x + 11) − (7 + 4x − 2x2)

Answers

The difference between the polynomials 5x² + 2x + 11 and  7 + 4x - 2x² is  7x² - 2x + 4 option (D)7x² - 2x + 4 is correct.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n

The complete question is:

FIND THE DIFFERENCE:

(5x² + 2x + 11) - (7 + 4x - 2x²)

  • A. 9 - 2x - 2x²
  • B. 3x² - 2x + 4
  • C. 3x² + 6x + 4
  • D.7x² - 2x + 4

We have two polynomials:

5x² + 2x + 11 and  7 + 4x - 2x²

We have subtract the polynomial 7 + 4x - 2x² from the polynomial 5x² + 2x + 11

= (5x² + 2x + 11) - (7 + 4x - 2x²)

Using distributive property:

= 5x² + 2x + 11 - 7 - 4x + 2x²

= 7x² - 2x + 4

The difference is 7x² - 2x + 4

Thus, the difference between the polynomials 5x² + 2x + 11 and  7 + 4x - 2x² is  7x² - 2x + 4 option (D)7x² - 2x + 4 is correct.

Learn more about Polynomial here:

brainly.com/question/17822016

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the answer would end up being 12x+4
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