A student looking at global population figures remarks that between the years 1950 and 2010 the global population can be modelled by the equation 300y= 23t−44 180 (1950≤t≤2010),

Write down the gradient of the straight line represented by the equation 300y= 23t−44 180 (1950≤t≤2010)

What does this represent in the practical situation being modelled?

Answers

Answer 1

Answer:

The equation is (i guess):

300*y = 23*t  -41,180

This is a linear equation, where y represents the population, and t represents time (in years)

Now, to find the gradient, we must derive the function y with respect to the time.

then we can write:

y = (23/300)*t - (41,180)/300.

now, remember that when we have:

y = a*x^n

we also have:

dy/dx = n*a*x^(n-1)

then in this case, we have:

dy/dt = (23/300) + 0

now we pass aain the 300 to the right:

300*dy/dt = 23.

d(300*y)/dt = 23

what does this mean?

Thie mean that for each unit of that t increases, we have an increase of 23 units in 300*y.


Related Questions

5. A turtle dives towards deeper water at a rate of 8 inches per second. It continues for a total of 16 seconds.
Which expression represents this situation?
A 16(-8)
B. -16(-8)
C. 16 / 8 ( / means division)
D. 16 / (-8) ( / means division)

Answers

Answer: B

Step-by-step explanation:

To find out how far the turtle went in 16 seconds you have to multiply 16 and -8

Answer:

I have the same question on test and answer is B

Step-by-step explanation:

The set of values that makes an equation true is called

Answers

Answer:

Step-by-step explanation:

A solution is any value of a variable that makes the specified equation true. A solution set is the set of all variables that makes the equation true. The solution set of 2y + 6 = 14 is {4}, because 2(4) + 6 = 14.

Answer:

Solution

Step-by-step explanation:

To make the equation true, you need to have proof that it is correct. Therefore, a solution.

Jay's father is twice as old as jay. In 20 years Jay will be two-thirds as old as his father. How old is each now?

Answers

Well take this for an example

Answer:

the answer is 2

Step-by-step explanation:

The gestation period of humans (266 days) is what percent longer than the gestation period of pigs (115 days).

Answers

Answer:

56.8%

Step-by-step explanation:

(115/266)* 100 = 43.2%

which means 115 is 43.2% of 266

so,

The gestation period for Humans is 56.8% (100 - 43.2) longer than of pigs

I hope this is correct!

An owner of a home in the Midwest installed solar panels to reduce heating costs. After installing the solar panels, he measured the amount of natural gas used y (in cubic feet) to heat the home and outside temperature x (in degree-days, where a day's degree-days are the number of degrees its average temperature falls below 65° F) over a 23-month period. He then computed the least-squares regression line for predicting y from x and found it to be ŷ = 84 + 18x. How much, on average, does gas used increase for each additional degree-day?

Answers

Answer:

18

Step-by-step explanation:

In the linear regression equation y=a+bx, slope coefficient b represents average unit increases in y variable due to unit increase in x variable.

In the given equation ŷ = 84 + 18x, b=18 represents average unit increases in gas used due to unit increase in degree day.

Hence,on average,  gas used increase by 18 for each additional degree-day.

Does seth or briana walk faster

Answers

Answer:

PLEASE GIVE BRAINLIST

you need to be more pacific on your question so that can other people can help you.

HOPE THIS HELPED

Solve inequality.
|3n-2|-2<1

Answers

[tex]\text{Hello there! :)}[/tex]

[tex]\boxed{-1/3 < n < 5/3}[/tex]

[tex]|3n - 2| - 2 < 1[/tex]

[tex]\text{Begin simplifying by adding 2 to both sides:}[/tex]

[tex]|3n - 2| < 3[/tex]

[tex]\text{ Solve for the positive and negative solutions:}[/tex]

[tex]3n - 2 < 3\\\\3n < 5\\\\n < 5/3[/tex]

[tex]-(3n - 2) < 3\\\\\text{Switch sign when dividing by a negative:}\\\\3n - 2 > - 3\\\\3n > - 1\\\\n > -1/3[/tex]

[tex]\text{Therefore, the solutions for the inequality are:}\\\\-1/3 < n < 5/3[/tex]

Jack bought 5.94 pounds of beef for dinner. What is the first step in rounding this number to the nearest​ tenth? What is the next​ step? What is 5.94 rounded to the nearest​ tenth? The first step in rounding to the nearest tenth is to look at the digit to the right of the tenths place. What is the next​ step?

Answers

Answer:

A

Step-by-step explanation:

Answer:

5.94 rounded up to the neares tenth is 10

Step-by-step explanation:

logic also I don't think there is a next step

Sarah plans to sell decorative signs at an upcoming craft market. If it costs her $3.50 to make each sign, and she paid a one-time fee of $185 to rent a booth at the market. If Sarah sells each sign for $15.75, how many signs will she need to sell for her expenses to be no more than her earnings?

Answers

Answer:

I need that answer too

Step-by-step explanation:

HELP PLZ AND.... HIIIII!

Answers

Answer:

0.002 meters per second

Answer: 0.0002 meters per second

Is the decimal form of 19/3 a rational number?

Answers

Answer:

yes it is because it can be written in fraction form

PLEASE HELP ASAP IM SPENDING POINTS THAT TOOK ME SO LONG TO GET How much time will Alex need to walk to his school, which is 2 1 4 miles away from his house, if he would walk with the speed of 2 mph

Answers

Answer:

  1 1/8 hours

Step-by-step explanation:

The relationship between time and speed and distance is ...

  time = distance/speed

Then Alex's time is ...

  time = (2.25 mi)/(2 mi/h) = 1.125 h

It will take Alex 1 1/8 hours to walk to school at 2 mph.

PLS HELP ASAP OR I WILL FAIL How much time will Alex need to walk to his school, which is 2 1/4 miles away from his house, if he would walk with the speed of 2 7/10 mph

Answers

Hey! Not to good at explaining this, but the correct answer is 3/5 hours, or 36 minutes.

Answer:

3/5

Step-by-step explanation:

just did it and my school said i got it right

I NEED HELP ASAP. I need someone who can help with the rest of the questions

Answers

Answer:

(6,0)

Step-by-step explanation:

X-value:

10-8=2

8-2=6

Y-value

4-2=2

2-2=0

Apply the distributive property to create an equivalent expression. 6(5x - 3) =

Answers

Answer:

30x-18

Step-by-step explanation:

(6)(5x+−3)

=(6)(5x)+(6)(−3)

=30x-18

A piece of land is shaped like a right triangle. Two people start at the right angle at the same time, and walk at the same speed along different legs of the triangle while spraying the land. If the area covered is changing at
5 m2/s, how fast are the people moving when they are 5 m from the right angle? (Round approximations to two decimal places.)

Answers

Answer:

1 m/s

Step-by-step explanation:

the area of the triangle = A = ¹/₂ab

where a is the distance covered by the first person and b is the distance covered by the second person. since they walk at the same speed, then a = b, so our formula can be changed to A = ¹/₂x²

now we find the derivative of both sides:

dA/dt = ¹/₂ ⋅ dx²/dt

dA/dt = ¹/₂ ⋅ 2x ⋅ dx/dt

dA/dt = x ⋅ dx/dt = x ⋅ velocity

we are told that x = 5 m, and dA/dt = 5 m²/s

velocity = dA/dt / x

velocity = 5 m²/s / 5 m = 1 m/s

Choose the algebraic expression that represents the area of a triangle that has a base 4 inches less than 5 times wider than the height.
a (1/2)(5h)(h – 4)
b (1/2)(5b + 4)(b)
c (1/2)(5h – 4)(h)

Answers

Answer:

c (1/2)(5h – 4)(h)

Step-by-step explanation:

Area of a triangle = 1/2 × base × height

Let

Height of the triangle = h

Base 4 inches less than 5 times wider than the height.

Base of the triangle = 5h - 4

Area of a triangle = 1/2 × base × height

= (1/2)(5h-4)(h)

The algebraic expression that represents the area of a triangle that has a base 4 inches less than 5 times wider than the height is (1/2)(5h-4)(h)

Option C is the correct answer

Answer:

c

Step-by-step explanation:

i had this same question a while ago

which polynomial represents the company’s total output?

Answers

Answer:

C. 2b^3 + b^2 - 2b - 380

Step-by-step explanation:

Factory A: 2b^3 - 3b^2 + b - 120

Factory B: 4b^2 - 3b - 260

Add the polynomials:

2b^3 - 3b^2 + b - 120 + 4b^2 - 3b - 260 =

Be careful to combine like terms.

= 2b^3 - 3b^2 + 4b^2 + b - 3b - 120 - 260

= 2b^3 + b^2 - 2b - 380

Answer: C. 2b^3 + b^2 - 2b - 380

Which of the following statements is false? A. If a number is a natural number, then it is rational. B. If a number is a whole number, then it is rational. C. If a number is a fraction, then it is rational. D. If a number is an integer, then it is irrational.

Answers

Answer:d bc its integers a rational not irrational

Step-by-step explanation:

Your welcome

Answer:

d

Step-by-step explanation:

i got it right

please help help help help

Answers

Answer:

2(5+4(8+1)) - 4²

=82 + 16

=66

how many dollars will you get if you change

Answers

Answer:

Depends on what is the problem!

Enter an algebraic expression to model the given context. Give your answer in simplest form.

The price s of a pair of shoes plus 6% sales tax.

The algebraic expression is

Answers

(s)+(s×0.06)=t

t is the total

s is the shoes

Brett gets 5.3% Commission on all of his sales. If he makes $5500 in a week,
what is his commission for the week

Answers

Answer:

291.5

Step-by-step explanation:

5500×5.3

that's pretty much it lol

( 5 - 2i)2 Write answer in standard form a +bi. Remember you can not have i2 in your answer it is a number.

Answers

Answer:

Step-by-step explanation:

(5 - 2i)^2

25 - 10i - 10i + 4I^2

25 -20i - 4

21 - 20i


If
3x^2+ 9x + 11
X – 1 =
3x2 + 3x + a + 23
X-1
what is the value of a?

Answers

Answer:

a = -6 - 6x + 3x^2

Step-by-step explanation:

Identify which line from the graph the following right triangles could lie on.

Answers

Answer:

Step-by-step explanation:

Slope of line A = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                         = [tex]\frac{9}{3}[/tex]

                         = 3

Slope of line B = [tex]\frac{9}{6}[/tex]

                         = [tex]\frac{3}{2}[/tex]

Slope of line C = [tex]\frac{6}{8}[/tex]

                         = [tex]\frac{3}{4}[/tex]

5). Slope of the hypotenuse of the right triangle = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                                                                                = [tex]\frac{90}{120}[/tex]

                                                                                = [tex]\frac{3}{4}[/tex]

Since slopes of line C and the hypotenuse are same, right triangle may lie on line C.

6). Slope of the hypotenuse = [tex]\frac{30}{10}[/tex]

                                              = 3

Therefore, this triangle may lie on the line A.

7). Slope of hypotenuse = [tex]\frac{18}{24}[/tex]

                                        = [tex]\frac{3}{4}[/tex]

Given triangle may lie on the line C.

8). Slope of hypotenuse = [tex]\frac{21}{14}[/tex]

                                        = [tex]\frac{3}{2}[/tex]

Given triangle may lie on the line B.

9). Slope of hypotenuse = [tex]\frac{36}{24}[/tex]

                                        = [tex]\frac{3}{2}[/tex]

Given triangle may lie on the line B.

10). Slope of hypotenuse = [tex]\frac{48}{16}[/tex]

                                          = 3

Given triangle may lie on the line A.

Can someone please help, ty!!

Answers

Your answer is 0 by the way

Brian finished his English assignments in 1/3 hours. Then he completed his math assignments in 1/5 hours. What was the total number of Time Brian spent doing these two assignments

Answers

Answer: 8/15

Step-by-step explanation: find the LCD which is 15 in this case,  then multiply 1/3 by 5/5 which equals 5/15. then multiply 1/5 by 3/3 which equals 3/15 then add them together =8/15

graph y = -1/4x + 6​

Answers

Answer: SEE BELOW

If you need further explanation about how to graph, please let me know.

Hope this helps!! :)

this is the answerisjsjdndjdn

Which equation is equivalent to x+5=12

Answers

Answer:

x=7

Step-by-step explanation:

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