One model for the number of students enrolled in U.S. Public high schools as a function of time since 1986 is N = -0.033t2 +0.46t + 13.37. Here N is the enrollment in millions of students, t is the time in years since 1986, and the model is relevant since 2000. Explain

Answers

Answer 1

Answer:

       The number of students in a year 2010 is 14.67 millions .      

Step-by-step explanation:

Here , the given model is [tex]N = -0.033t^2 +0.46t + 13.37[/tex]

The model is relevant since 2000.

N(10)  represents the number of students enrolled in millions.

10 represent the number of years after 2000

Thus , 10 years after 2000 will be 2010 ,

Now put  t =10 in the given model ,

[tex]N(10) = -0.033(10)^2 + 0.46(10) + 13.37[/tex]

[tex]N(10)= -0.033(100) + 0.46(10) +13.37[/tex]

[tex]N(10)= -3.3 +4.6+13.37[/tex]

[tex]N(10)= 14.67[/tex]

Hence,  the number of students in  a year 2010 is 14.67 millions. The correct option is A.


Related Questions

Can someone help me please

Answers

2 solutions I believe.

If three times a number is increased by twenty-two, the result is fourteen less than seven times the number. Find the number.​

Answers

Answer:

x = 3.6

Step-by-step:

3 times a number is increased by twenty two = 3x+22

Result ( = ) fourten less than seven times the number =  7x - 14

Since they are equal to each other, you have:

3x + 22 = 7x - 14

Solve:

22 = 10x - 14

36 = 10x

x = 3.6

Diego's club earns money for charity when members of the club perform community service after school,each student who does community service, the club earns $5. There are 12 students in the club,The total dollar amount earned, E. Is a function of the number of members who perform communityservice, n. Is 24 a possible output

Answers

Answer:

No

Step-by-step explanation:

Given that:

Amount earned when a student does comminty service = $5

Number of students in club = 12

Amount earned E, is a function of number of members (n) who does community service.

Hence,

E = n * amount earned per member

Is 24 a possible output?

To test, then E = 24

24 = n * 5

24 = 5n

24/5 = 5n/5

4.8 = 5

Hence, 24 is not a possible output, be use number of membwra cannot be a decimal

Use the points (1998,13.60) and (2003,19.00) to write the slope intercept form

Answers

Answer:

y=1.08x-2144.24

Step-by-step explanation:

find the slope: m=(19.00-13.60)/(2003-1998)=1.08

so we have y=1.08x +b

next, use the point (2003, 19.00) to find b:

19.00=1.08*2003 +b =>b=-2144.24

The sum of John and Dave's ages is 63. Dave is is six years less then twice Johns
age. How old is Dave?

Answers

Answer:

The present age of Dave is 40 years

Step-by-step explanation:

Let the present age of Johns be x

We are given that Dave is six years less then twice Johns  age.

Dave's present age = 2x-6

We are also given that The sum of John and Dave's ages is 63.

So, [tex]x+2x-6=63[/tex]

[tex]3x-6=63[/tex]

[tex]3x=63+6[/tex]

[tex]3x=69[/tex]

[tex]x=\frac{69}{3}[/tex]

[tex]x=23[/tex]

Dave's present age = 2x-6=2(23)-6=40

Hence The present age of Dave is 40 years

Simplify the expression below.
23/42

Answers

Answer:

In it's simplest form possible.

Identify the slope and y-intercept of the equation: -2x + 2y = -10

Answers

Answer:

Slope: 5/3, y-intercept (0,-3)

Step-by-step explanation:

2x < 6 solve foe x in this

Answers

Answer:

The answer is x < 3

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the greater than a sign from both sides of the line      

St2*x-(6)<

ep by step solution :

STEP

1

Pulling out like terms

1.1     Pull out like factors :

 2x - 6  =   2 • (x - 3)  

Equation at the end of step

1

STEP

2

2.1    Divide both sides by  2  

Solve Basic Inequality :

2.2      Add  3  to both sides

            x < 3

Answer:

x < 3

Step-by-step explanation:

2x < 6

Divide both sides 2.

x < 3

To trisect an ___ angle you first construct an equilateral triangle.

A. Acute

B. Right

C. 60-degree

D. Obtuse

Answers

To trisect a 60-degree angle you first construct an equilateral triangle.

Option C is the correct answer.

What is an angle?

The angles between two lines are the angles formed by two intersecting lines, measured in degrees or radians.

Several different types of angles can be formed between two lines, including acute angles, right angles, and obtuse angles.

We have,

To trisect a 60-degree angle, we can use the fact that an equilateral triangle has three 60-degree angles.

The steps to trisect a 60-degree angle using an equilateral triangle are as follows:

Draw an equilateral triangle with one of its vertices at the angle to be trisected.

Draw a line from the vertex of the angle to the opposite side of the triangle, dividing the angle into two 30-degree angles.

Draw a line from the vertex of the angle to the point where the opposite side intersects the circle centered at the vertex with a radius equal to the length of one side of the equilateral triangle. This will divide one of the 30-degree angles into two 15-degree angles.

Draw a line parallel to the opposite side of the triangle from the point where the 15-degree angle is divided to the adjacent side of the triangle. This will trisect the 60-degree angle into three 20-degree angles.

Thus,

By constructing an equilateral triangle, we can trisect a 60-degree angle.

Learn more about angles here:

https://brainly.com/question/7116550

#SPJ5

PLEASE HELP!!! Isabell needs to memorize words on a vocabulary list for Spanish class. She has memorize 12 of the words, which is 3/4 of the list. How many words are on the list?

Answers

Answer:

16

Step-by-step explanation:

3 x 4 = 12

4 x 4 = 16

Answer:

15

Step-by-step explanation:

Graph the line with the equation y = -x - 5.

Answers

Find the y-intercept and x-intercept

1) Find the x-intercept, substitute y = 0

0 = -x-5

5=-x

x= -5

Therefore, the x-intercept is at -5

2) Find the y-intercept, substitute x = 0

y= -0 - 5

y = 0 - 5

y = -5

Therefore, the y-intercept is at -5 too.

Plot the line graph from x = -5 to y = -5 and it should be like this.

Note - You can easily find the y-intercept just looking at "b value" from y = mx+b when m is the slope and b is the y-intercept.

Answer:

Step-by-step explanation:

1) since -5 is graphed in the equation we know the y-intercept is -5

2) since we already know the point (0,-5) form the y-intercept, we pick x-values and plug them into the equation. I'll use -4, 3, and 9

y=-x-5      y=-x-5     y=-x-5

y=-9-5      y=-3-5    y=--4-5

y=-14        y=-8        y=-1

3) we then plot the 4 points we found and draw a straight line connecting them, and then we put arrows on either side of the line because the question did not say that it was a line segment.

4) And check your work by going to Google and typing "student desmos graphing calculator" and typing in your equation.

Which statement is true about the graphed function?
3
O F(x) <0 over the interval (_, 4)
O F(x) <0 over the interval (-0, -3)
O F(x) > 0 over the interval (-4,-3)
O F(x) > 0 over the interval (
-4)
-2
X
-12
Save and Exit
NEX
SER
Mark this and retum
Hi

Answers

Answer:

o

0 F x>o v 0 cover the interval (-4,-3

The statement which is true about the graphed function is that F(x) > 0 over the interval (-∞, -4).

What is Function?

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given is a graph of a function.

The options contains the open interval (-∞, -3) and (-∞, -4).

It is clear that along this interval, the graph is situated above the X axis.

This means that the values of y is all greater than 0.

At x = -4, F(x) = 0

For all x < -4, F(x) > 0

So the correct statement is F(x) > 0 over the interval (-∞, -4).

Hence F(x) > 0 over the interval (-∞, -4).

Learn more about Functions here :

https://brainly.com/question/13581879

#SPJ7

Can somebody who remembers how to do this plz answer correctly thx!!!!
(Will mark as brainliest)
:D

Answers

Answer:

11.

[tex]1 \times \frac{3}{8} [/tex]

12.

[tex]2 \times \frac{5}{6} [/tex]

What describes the graph of y = |x - 3| + 8?
a ‘V’ shaped graph with vertex at (8, 3), which opens down
a ‘V’ shaped graph with vertex at (8, -3), which opens down
a ‘V’ shaped graph with vertex at (-3, 8), which opens up
a ‘V’ shaped graph with vertex at (3, 8), which opens up

Answers

Answer:

The answer is "a ‘V’ shaped graph with vertex at (3, 8), which opens up "

Step-by-step explanation:

First replace "x" with varying numbers such as -5 and -4 to +4 and +5.

Go through solving the equation.

And finally, graph your different points.

Answer:

a ‘V’ shaped graph with vertex at (3, 8), which opens up

Step-by-step explanation:

What is 5 + 2^3 divided by 4 - 2
USE PENDAS
and show step by step of how you got to your answer
Will give BRAINLEST though only if the work you showed is correct AND the answer.

Answers

Answer:

1. if its (5+2^3)/4-2 then its 6.5

2. if its just 5+2^3/4-2 then its 5

Step-by-step explanation:

1. (5+2^3)/4-2

   (5+8)/4-2

   (13)/4-2

    (13)/2

    6.5

2. 5+2^3/4-2

   5+8/4-2

  5+2-2

 7-2

 5

Stephanie uses a ride service to get to different places in her city. If Stephanie uses Uber the service charges 1.50 per mile . If Stephanie uses lift the service charges $2.00 per mile. Let m represent the number of miles traveled. Which of the following statements are true . Select all that apply

Answers

Answer:

By a small online search, i found that the actual question seems to be:

"Stephanie uses a ride service to get to different places in her city. If Stephanie uses Uber the service charges $5.00 plus 1.50 per mile . If Stephanie uses lift the service charges $2.00 per mile. Let m represent the number of miles traveled. Which of the following statements are true . Select all that apply"

The statements are not provided, so i will answer it in a general way.

We have two different equations:

1) a fixed amount of $5.00 plus $1.50 for each mile, m.

This is a linear equation:

y1 = $1.50*m + $5.00

2) No fixed amount, only $2.00 for each mile, m.

y2 = $2.00*m

Now, the things we can see are which service will be cheaper as a function of m.

To see this, we can see the difference between y1 and y2.

When the difference is negative, this means that y1 is cheaper.

When the difference is positive this means that y2 is cheaper.

When the difference is zero, both services charge the same.

D = y1 - y2 = $1.50*m + $5.00 - $2.00*m

                 = (-$0.50)*m + $5.00

First let's find when it is zero.

              0 =  (-$0.50)*m + $5.00

            5.00/0.5 = m = 10

So for 10 miles, both services charge the same.

As the coefficient that multipies m is negative, if we have m > 10, then the difference will be negative.

This means that for m > 10, y1 is cheaper.

Then for m < 10, y2 is cheaper.

NEED AWNSERS ASAP!!!​

Answers

Answer:

3x+2x=95

5x=95

X=19

Step-by-step explanation:

it may help you to understand

simplify -9 / 6 / 3 / -2​

Answers

Answer:

o resultado é 961

foi mal se erei

5) Evaluate:
7/8 +(-2/3)
Your answer

Answers

Answer:

0.208333.....

or

Step-by-step explanation:

5 / 4

if you look at 7/8 + 2/3

remove the ( you do not need them

now look at 7/8 -2/3

add fractions together

it becomes 5/4

results should be 5/4

there's your answer I hope it works please give me brainiest

Which of the following values is the solution of w– 13 = 25?
48
325
38
12

Answers

Answer:

w = 38

Step-by-step explanation:

add 13 to 25 to get 38 so w = 38

How many liters of a 40% acid solution must be added to 12 liters of a 20% solution to obtain a 25% solution?

Answers

Answer:

6

Step-by-step explanation:

12 x 2 = 24

24 : 4 = 6

Solving equations with variables I give away Brainliest

Answers

Answer:

a:

Felipe: y = 80x + 510

Melissa: y = 60x + 590

b:

80x + 510 = 60x + 590

(simplifies to x = 4)

8.25 divided by 53790 and 825 divided by 5379000

Answers

Answer:

8.25÷53790 is 0.00015337423 and the other one is 0.00015337423

1. The solution of the expression '' 8.25 divided by 53790 '' will be 0.00015337423.

2. The solution of the expression '' 825 divided by 5379000 '' will be 0.00015337423.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The mathematical expression are;

1. 8.25 divided by 53790

2. 825 divided by 5379000

Now,

After divide we get;

1. 8.25 divided by 53790 = 8.25 ÷ 53790

8.25 ÷ 53790 = 8.35 / 53790

                     = 835 / 5379000

After divide we get;

= 0.00015337423

Thus, 8.25 ÷ 53790 = 0.00015337423

2. The expression is;

825 divided by 5379000 = 825 ÷ 5379000

                                        = 825 / 5379000

                                        = 0.00015337423

Thus, 825 ÷ 5379000 = 0.00015337423

So, Both the expression have same solution.

Therefore,

1. The solution of the expression '' 8.25 divided by 53790 '' will be 0.00015337423.

2. The solution of the expression '' 825 divided by 5379000 '' will be 0.00015337423.

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ2

Find the absolute value of - 4 2/11

Answers

Answer:

4 2/11

Step-by-step explanation:

The absolute value is the distance between a number and zero. This means that absolute value cannot be negative because you cannot travel a negative distance. The distance between - 4 2/11 is 4 2/11.

Hope This Helps :)

The absolute value of -4(2/11) is 46/11.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

-4(2/11)

= -46/11

Now,

The absolute value.

= |-46/11|

= 46/11

Thus,

The value is 46/11.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

The length y of a rectangle is four less than three times the width x. The perimeter of the rectangle is 16 cm.

Answers

There is no requirement in the question. I'll calculate the area of the rectangle to help you with this question.

Answer:

[tex]A=15\ cm^2[/tex]

Step-by-step explanation:

System of Equations

Let's call y to the length of a rectangle, x to its width. There are two conditions that will help us to solve for x and y.

The length is four less than three times the width. That is written as:

[tex]y=3x-4[/tex]

The perimeter of the rectangle is 16 cm. The equation for this condition is:

[tex]2x+2y=16[/tex]

Divide by 2:

[tex]x+y=8[/tex]

To solve the system, we'll substitute the y in the first equation into the second:

[tex]x+3x-4=8[/tex]

Joining like terms:

[tex]4x=8+4[/tex]

Solving:

[tex]x=12/4=3[/tex]

Find the value of y:

[tex]y=3x-4=3*3-4=9-4=5[/tex]

Thus, the length of the rectangle is 5 cm and its width is 3 cm. The area is calculated as:

[tex]A=xy=3\ cm\cdot 5\ cm=15\ cm^2[/tex]

[tex]\boxed{A=15\ cm^2}[/tex]

Help asap please show your work

Answers

Answer:

false

Step-by-step explanation:-3 in the () means -3 x -3 which is positive 9, where as without () it's -3x3 which is -9. Positive 9 is bigger than -9.

Answer:

False

Step-by-step explanation:

-3^2 = -(3^2) = -(3 × 3) = -9

(-3)^2 = -3 × -3 = 9

-9 < 9

Select the correct answer.
Solve the following inequality.
17 5-3x + 2 5 26
11
O
B.
-
-
On sos-
-3 sos-
OC. 15 < r < 24
OD. -8 < x < -5
19
3

Answers

Answer:

D

Step-by-step explanation:

Given

17 ≤ - 3x + 2 ≤ 26 ( subtract 2 from each of the 3 intervals )

15 ≤ - 3x ≤ 24

Divide the 3 intervals by - 3, reversing the symbols as a result of dividing by a negative quantity.

- 5 ≥ x ≥ - 8 , that is

- 8 ≤ x ≤ - 5 → D

[tex]17 \leqslant - 3x + 2 \leqslant 26[/tex]

Subtract sides -2

[tex]17 - 2 \leqslant - 3x + 2 - 2 \leqslant 26 - 2 \\ [/tex]

[tex]15 \leqslant - 3x \leqslant 24[/tex]

Divided sides by -3

=======================================

Point :

When the sides of a inequality multiply or divided by an negative number It changes direction and returns them.

=======================================

Thus ;

[tex] \frac{15}{ - 3} \geqslant \frac{ - 3}{ - 3}x \geqslant \frac{24}{ - 3} \\ [/tex]

[tex] - 5 \geqslant x \geqslant - 8[/tex]

[tex] - 8 \leqslant x \leqslant - 5[/tex]

Thus the correct answer is (( D )) .

_________________________________

Thanks for watching...♥️♥️♥️♥️♥️

The question is asking for a simplified expression for the area of the rectangle???

Answers

Answer:

12x+40

Step-by-step explanation:

(3/5x+2)*20=

12x+40

brainliest to whoever answers first!!
A quadrilateral is plotted on the coordinate plane. Each of its vertices undergoes the same transformation. which rule below represents a transformation that does NOT preserve the length of the sides of the quadrilateral

Answers

Answer: bruh i have the exact same question

Step-by-step explanation:

PLEASE HELP ME ASAP 50 POINTS

What is the initial value of the exponential function shown on the graph?

A: 0
B: 1
C: 2
D: 4

Answers

Answer:

4

Step-by-step explanation:

Other Questions
explains how President John F. Kennedy unfolds his ideas in his speech Which of these is the basis for some traditional calendars?A-cycles of the moonB-constellations in the heavensC-solar and lunar eclipsesD-the appearance of seasonal rainstorms Describe how waste is removed by the villa of the small intestines. Solve algebraically for all the values of x -2x^5+14x^4-2x^3+14x^2=0 What are the other requirements for the president? Is the ratio 12:14 written in simplest form?YesNoPractice Problems 3(2ab - 5b + a) + 2a(a 5 + 2b) + 11a Which of the following is the equation for the line y = 4/5x - 1 that passes through the point (0, 6)?A) y = 4/5x + 6B) y = -5/4x + 5C) y = -5/4x + 6D) y = 4/5x + 5 Think about a hot air balloon travelling around the world in 11 days. How can a balloon travel so far and fast without a engine or other system on board to move the balloon horizontally A thin spherical spherical shell of radius R which carried a uniform surface charge density . Write an expression for the volume charge density rho(r) of this thin shell distribution in terms of and an appropriate delta function. Verify explicitly that the units of your final expression are correct. Also show that your total integrated charge comes out right. Solve |2s7| 1. Please help WILL GIVE BRAINLIEST The value of the angle is 60. When I first saw the problem I noticed there were two supplementary angles which means they added to 180*. I wrote the equation (2x) + (x) = 180. To solve I divided by 3.What was the question he answered? Give the question and explain how you know. Include either the diagrams or a description of the diagrams. Include at least 4 sentences. An example of a difficult work decision would be: a. Deciding to finish a task before taking a break b. Deciding to fill the paper tray when it is out of paper c. Deciding to relocate in order to gain a promotion d. Deciding to tell your boss about a faulty stapler in the work room how do i do this, im very confjseddd Solve the following equation for the value of X What are the essential elements of market economies? 18=9n help please?! What is the value of the function y = 2x + 3 whenx=1? 5 2 1 5 what is the formula for selenium tetrafluoride Which detail would be most relevant to this main idea?Weather channels are essential for people to prepare for natural disasters.(1 point)Weather reports often tell people when to evacuate during large storms.Weather reports are not always accurate.Weather reports describe the conditions that may occur daily.Weather reports follow storms nationwide.