1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
12345 [234]
3 years ago
13

A roller coaster starts with the cars being pulled up a ramp. The mass of the cars is estimated by the function m(p) = 175p + 1,

180 where p is the number of passengers in the car. The potential energy of the car is calculated using the function E(m) = 9.8mh, where h is the height of the ramp.
If the top of the ramp is 30 meters, which function can be used to calculate the potential energy of a car in terms of the number of passengers?
Mathematics
1 answer:
KiRa [710]3 years ago
7 0

Answer:

E(p)=51,450p+346,920

Step-by-step explanation:

The function

m(p) = 175p + 1,180

gives the mass of the car as a function of the number of passengers in it.

And the function

E(m) = 9.8m*h

gives the potential energy of the car as a function of the car's mass.

Now if the height of the ramp is 30 meters, we have

E(m) =9.8m*(30)

E(m) =294m

And to find the potential energy as a function of the number of passengers, we just substitute m(p) into E(m) to get:

E(m(p))=294(175p+1180)

\boxed{ E(p)=51,450p+346,920}

which gives the potential energy as a function of the number of passengers.

You might be interested in
Please help im lost.
8_murik_8 [283]

Answer:

2

Step-by-step explanation:

h(t) =  - 16 {t}^{2}  + 64 \\ \Leftrightarrow 0 =  - 16 {t}^{2}  + 64 \\ \Leftrightarrow  {t}^{2}  = 4\Leftrightarrow t =  \pm2\Leftrightarrow t = 2 \: (t  \geqslant 0)

8 0
3 years ago
This is worth 20 points, please answer! (Please answer with a variable in the equation)
Sindrei [870]

Answer:

The equation is 41 x 3 and 123-10 the answer is 113

Step-by-step explanation:

First, you have to find out how much 3 times is that is 123 then you take away ten which would be 113.

4 0
3 years ago
The ratio of the number of picture books encyclopedias, and fairy tale books Annette had is 3:4:5 She have half of her encyclope
Flura [38]

The number of picture books does Annette have is 76 books.

Given the ratio of picture books , encyclopedias and fairy tales books is 3:4:5 and she have half of her encyclopedias to her brother and  he gave her 5 books of fairytales

We need to find the number of picture books does she have

According to the statement the total number of books does Annette have is

3k+4k+5k = 12k

Where k is total number of books

Now , Picture book she have = 3/12k = 1/4k

Encyclopedia she have = 4/12k = 1/3k

Fairy tale she have = 5/12k

Here,

Encyclopedia +14 = Fairy tale

Substituting the values of Encyclopedia and Fairy tale

(1/3 -1/2)k +14 = (5/12k -5 )

Therefore.

(1/6k+14) = (5k/12-5)

Therefore,

14+5 = 5k/12 - k/6

Therefore,

19 = 3k/12

19*4=k

76 = k

Here k = 76 books

Hence the total number of picture books does she have is 76

Learn more about ratio here

brainly.com/question/2328454

#SPJ10

5 0
2 years ago
How do I find the equation of the perpendicular bisector between (-2,5) and (2,-1)?
Arturiano [62]

Answer:

y =  \frac{2}{3} x + 2

Step-by-step explanation:

Start by finding the slope of the given line.

\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }

Slope of given line

=  \frac{5 - ( - 1)}{ - 2 - 2}

=  \frac{5 + 1}{ - 4}

=  \frac{6}{ - 4}

=  -  \frac{3}{2}

A perpendicular bisector cuts through the line at its midpoint perpendicularly.

The product of the slopes of two perpendicular lines is -1.

Let the slope of the perpendicular bisector be m.

-  \frac{3}{2} m =  - 1

m =  - 1 \div ( -  \frac{3}{2} )

m =  - 1 \times ( -  \frac{2}{3} )

m =  \frac{2}{3}

y =  \frac{2}{3}x  + c, where c is the y-intercept.

To find the value of c, we need to substitute a pair of coordinates that lies on the perpendicular bisector into the equation. Since the perpendicular bisector passes through the midpoint of the given line, we can use the midpoint formula to find the coordinates.

\boxed{midpoint = ( \frac{x _{1} + x _2}{2} , \frac{y_1  + y_2}{2} )}

Midpoint of given line

=  ( \frac{ - 2+ 2}{2} , \frac{5 - 1}{2} )

=( \frac{0}{2} , \frac{4}{2} )

= (0, 2)

y =  \frac{2}{3} x + c

When x= 0, y= 2,

2= ⅔(0) +c

2= 0 +c

c= 2

Thus, the equation of the perpendicular bisector is y =  \frac{2}{3} x + 2.

7 0
3 years ago
Which of the following is a trinomial with a constant term?
Furkat [3]

Answer: D. x+2y+10

Trinomial refers to the fact that the polynomial has 3 pieces (x, 2y, and 10)

Constant term means there is a term with no variable (a number with no letters attached to it: In this example, that number is 10)

6 0
3 years ago
Other questions:
  • Help me with Geometry
    10·1 answer
  • Omg plz help!<br> Identify the function that is not linear.<br> y=3^x<br> 4y=16<br> 5y=x<br> y=5
    5·2 answers
  • Hord
    10·1 answer
  • A survey of 275 adults found that during the last year, 65 traveled by plane but not by train, 80 traveled by train but not by p
    15·1 answer
  • Which number is not equal to 12 12.0. 0.12 or 12.00
    5·2 answers
  • What is it in fraction form?
    8·2 answers
  • Please help with this qaestion
    12·2 answers
  • What is the answer to 2a X 3a =
    12·1 answer
  • How to solve the indefinite integral
    5·1 answer
  • Including a 7% sales tax, an inn charges $167.99 per night. Find the inn's nightly cost before tax is added.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!