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

If the probability of getting a particular result in a experiment is 75.3% what is the probability of not getting the result

Answers

Answer:

100%-75.3%

Step-by-step explanation:

The total probability of all outcomes is 100%.

If the probability of a particular result is 75.3% then all other possibilities (not the particular event) must equal 100% - 75.3%.

Solve each expression using the correct order of operations,
7- 5 + 3 x 10

Answers

Answer:

28 is your answer

Step-by-step explanation:

you start with multiplication and continue with addition and then go to subtraction

Answer:

32

Step-by-step explanation:

3×10 comes first because BIDMAS : brackets () indeces divide ÷ multiply× addition + subtraction -

So 30

7-5+30 = 32

A random sample of 10 subjects have weights with a standard deviation of 9 8753 kg What is the variance of their weights? Be sure to include the appropriate units with the result.​

Answers

Answer: The variance of their weights = 9,752,155,009 kg.

Step-by-step explanation:

The variance is the square of the standard deviation . it measures the spread between data values in a data set.

So if standard deviation of 10 subjects = 98753 kg

Then, variance = [tex](9 8753 )^2\ kg=9,752,155,009\ kg[/tex]

Hence, the variance of their weights = 9,752,155,009 kg.

A farmer rents pastureland for 8$ per acre plus a monthly fee of $200. Write an expression that can be used to find the total monthly cost. Then find the cost of renting 25 acres​

Answers

Answer:

A. [tex] 8n + 200 [/tex], $400.

Step-by-step explanation:

Monthly rent per acre for pasture land = $8

Additional monthly fee = $200

Let n represent the number of acres.

Therefore, expression for the total monthly cost would be:

[tex] 8n + 200 [/tex].

If the farmer wants to rent 25 acres of pasture land, the expression, [tex] 8n + 200 [/tex], can be used in calculating the total cost by simply plugging in the value of n, which would be 25 in this case.

Total monthly cost for 25 acres = [tex] 8(25) + 200 [/tex].

[tex] = 200 + 200 [/tex]

[tex] 400 [/tex].

Total monthly cost = $400

32 times 18 +52 = what plz help

Answers

Answer:

3640 and hi its meeeee i finally found you

Step-by-step explanation:

The answer is 68. Using bodmas rule in math, you have to work out the multiplication part first. Followed by adding them together

How do you do this problem?

Answers

Step-by-step explanation:

∫ t⁷ e^(-t⁴) dt

If x = -t⁴, then dx = -4t³ dt, and ¼ x dx = t⁷ dt.

∫ ¼ x eˣ dx

If u = ¼ x, then du = ¼ dx.

If dv = eˣ dx, then v = eˣ.

∫ u dv = uv − ∫ v du

= ¼ x eˣ − ∫ ¼ eˣ dx

= ¼ x eˣ − ¼ eˣ + C

= ¼ eˣ (x − 1) + C

Substitute back:

= ¼ e^(-t⁴) (-t⁴ − 1) + C

The procedure would be as demonstrated in the attachment(s). As you can see your solution will be,

[tex]\frac{1}{4}\left(-e^{-t^4}t^4-e^{-t^4}\right)+C[/tex]

(6 + √27) / 3 Sorry i wrote it wrong the first time.

Answers

3.73205081 i think it right hope it helps

Answer: [tex]2 + \sqrt{3}[/tex]

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

Work Shown:

[tex]\frac{6 + \sqrt{27}}{3}\\\\\frac{6 + \sqrt{9*3}}{3}\\\\\frac{6 + \sqrt{9}*\sqrt{3}}{3}\\\\\frac{6 + 3\sqrt{3}}{3}\\\\\frac{3(2 + \sqrt{3})}{3}\\\\2 + \sqrt{3}\\\\[/tex]

The idea with simplifying the square root (steps 2 through 4) has us factoring 27 so that one factor is a perfect square. We want the largest perfect square factor possible.

That way when we use the rule sqrt(x*y) = sqrt(x)*sqrt(y), we pull out that perfect square to then use the rule sqrt(x^2) = x where x is nonnegative.

After simplifying the square root, we factor out the GCF and then cancel out the 3's.

SOMEONE ANSWER ASAP PLEASE ! M is the midpoint ofJK. The coordinates of J are (6, 3) and the coordinates of Mare (-3, 4), find the
coordinates of K.

Answers

Answer:

Step-by-step explanation:

Coordinate geometry is always used in a certain cartesian system such as the X-Y cartesian system to represents the location of a point.

For example a point  

P  ( x , y )  , occupies an identical position in the cartesian system and the coordinate 'x' and 'y' represents the distances of the point from the X and Y-axis respectively with respect to the origin.  If a point  

P ( x , y )  between two other points  

A ( x 1 , y 1 )  

and  

B ( x 2 , y 2 ) , divides in just two halfs then point P is known as the Midpoint of the points A and B.

And

P ( x = x 1 + x 2 2 ,     y = y 1 + y 2 2 )


What is the distance between the point in Maine and the point in Tennessee? Round to the nearest tenth. ​

Answers

Answer:

The distance between the point is 1806 unit

Step-by-step explanation:

Given that,

The distance between the point in Maine and the point in Tennessee.

Suppose, The points are (-801,670) and (990,900)

We need to calculate the distance between the point

Using formula of distance

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

Put the value into the formula

[tex]d=\sqrt{(990-(-801))^2+(900-670)^2}[/tex]

[tex]d=1806\ unit[/tex]

Hence, The distance between the point is 1806 unit.

Some plz solve both for meeeeee <33

Answers

10. 4w^2 + 7w^2 + 7z^2

Combine each term with the same variable.

11w^2 + 7z^2

This is in simplest form.

11. 3x + 4(5x + 2)

Multiply each term inside the parentheses by 4.

3x + 20x + 8

Combine all the terms with the same variable.

23x + 8

This is in simplest form.

can you help me , would this answer be 1 ?

Answers

Step-by-step explanation:

Y=90° as its a right angled triangle

its a right angled triangle

Question 14 Multiple Choice Worth 1 points)
(02.05 LC)
+
The amount $4.50 is 6% of what price?
O $10.50
O $13.30
O $27.00
O $75.00

Answers

Answer:

.27

Step-by-step explanation:

4.5*6/100

=.27

Answer:

$27.00

I stayed up all night studying for this test and I got the question right haha

Alessandro wrote the quadratic equation -6=x2+4x-1 in standard form. What is the value of c in his new equation?
a.c=-6
b.c=-1
c.c=5
d.c=7
Answer is C.

Answers

answer: C

Explanation: It’s says right there

7x + 3y = 9 (for x)


solve it for x

Answers

Answer:

x = 9/7 - (3 y)/7

Step-by-step explanation:

Solve for x:

3 y + 7 x = 9

Hint: | Isolate terms with x to the left-side.

Subtract 3 y from both sides:

7 x = 9 - 3 y

Hint: | Solve for x.

Divide both sides by 7:

Answer: x = 9/7 - (3 y)/7

Answer:

x = ( 9 - 3y ) / 7

Step-by-step explanation:

To solve this equation for x, we will simply isolate the x.

7x + 3y = 9

7x = 9 - 3y

x = ( 9 - 3y ) / 7

Cheers.

-1+2z-z^2 Terms: ? Coefficients: ? the constant term is: ?

Answers

Answer:

Terms: -1, 2z, -z²

Coefficients: 2, -1

Constant Term: -1

Step-by-step explanation:

Terms are a set of numbers. It can be accompanied by a variable or not.

Terms: -1, 2z, -z²

Coefficients are the numbers that are in front of a variable.

Coefficients: 2, -1

Constant term is just a number, with no variable attached to it.

Constant Term: -1

Find x if EC is a bisector
AC = 3x+6 and CD = 2x + 14
ay
E
236
CON=-8
x=20
On=-20
KID X=8
Description​

Answers

Answer:

x = 8

Step-by-step explanation:

If EC is a bisector of AC and CD, then AC is equal to CD.

Given AC = 3x+6 and CD = 2x + 14, since AC = CD then;

3x+6 = 2x+14

subtract 6 from both sides

3x+6-6 = 2x+14-6

3x = 2x+8

subtract 2x from both sides

3x-2x = 2x+8-2x

x = 8

Hence the value of x is 8



Choose the expression that represents the prime factorization of 96.

3.24

6.8.2

3.25

3.2.2.2.2

Answers

Answer:

3.2.2.2.2...

Step-by-step explanation:

The prime factors of 96 are written as 2 x 2 x 2 x 2 x 2 x 3 or 3 x 25, where 2 and 3 are the prime numbers

ILL GIVE YOU BRAINLIST !!! SHOW WORK

Answers

Answer:

45

Step-by-step explanation:

5z^x

Substitute each number for the right letter

5(-3)^2

5(9)

45

My lawn is 17ft wide and 20ft long, each square foot of lawn gets 1350 new snowflakes per min how much snow in kilograms accumulates every hour average mass of snowflake is 1.70mg

Answers

Answer:

46.818 kg

Step-by-step explanation:

First, find the surface area of your yard. This is found by multiplying the length and width.

The equation for this is (l*w)=sa

So,

l=20ft

w=17ft

(20*17)= 340 square feet.

So, if each square foot gets 1350 new flakes per minute, you are going to find how much the entire yard gets in a minute by multiplying the surface area by 1350.

So,

(340*1350)= 459000  flakes for the entire yard in one minute.

Since there is 60 minutes in an hour, multiply 459,000 by 60.

459,000*60= 27,540,000  new flakes in the yard per hour.

Now, to find the weight in milligrams:

27,540,000*1.7= 46,818,000  mgs

Finally, because a kilogram is equal to one million milligrams (mg),

46,818,000/1,000,000= 46.818 kg

***ECONOMINCS*** Which statement best summarizes the role of households in the flow of
goods?
A. Households sell products created in product markets.
B. Households provide natural resources to businesses.
C. Households trade goods between product and resource markets.
D.Households act as consumers for goods made by businesses.

Answers

The final customers of a companies' products and services are the households. They generate demand in the market dependent on their preferences, and further discussion can be defined as follows:

As per the market demand, the businesses manufactured and provided items in the market and the nation's production line is determined by its families.Households consume the commodities supplied by the companies in a circular flow diagram.It could contribute land for the production of goods, or it may offer itself as the source of employment.It also provides capital, which would be a monetary type of investment that enables businesses to generate consumer products.

Therefore, the final answer is "Choice D"

Learn more:

brainly.com/question/22097439

Answer:

D.Households act as consumers for goods made by businesses.

Step-by-step explanation:

please help me and also show work plz​

Answers

Answer:

[tex]\boxed{k = -6}[/tex]

Step-by-step explanation:

[tex]13 +\frac{k}{3} =11[/tex]

→ Multiply everything by 3

[tex]39 + k = 33[/tex]

→ Minus 39 from both sides to isolate k

[tex]k = -6[/tex]


Which term of the AP : 8, 13, 18, 23, 28, ... is 6 times the 7 th term?
(2) 15th
(1) 35th
(3) 25th
(4) 45th​

Answers

I think it is 2 or 35

What is the slope of the line on the graph?

Answers

Answer: C

Step-by-step explanation:

To find the slope of the line, we need to use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. Let's take any 2 points in the graph. (-2,-1) and (1,5)

[tex]m=\frac{5-(-1)}{1-(-2)}=\frac{6}{3}=2[/tex]

Now, we know that the slope is 2.

Answer:

2

Step-by-step explanation:

To get the slope, identify two points where the line cuts both the x and the y axes.

Then apply the formula for finding the slope;

Slope = (changer in y-coordinates) ÷ (change in x-coordinates)

And the answer is 2

Find the inverse of s.
= {(-2, -7), (0, -3), (2, 1), (4, 5), (5, 7)}

Answers

Answer:

( − 7 , − 2 ) , ( − 3 , 0 ) , ( 1, 2 ) , ( 5 , 4 ) , ( 7 , 5 )

From: iOE Your friend

:D :) *Be awesome.Be You*

Solve:||x-3|-2|≤1
Please show work!
Thanks

Answers

Answer:

Step-by-step explanation:

Hello,

We know that

[tex]|x|=\begin{cases}x & \text{if } x\geq 0 \\ -x & \text{if } x<0 \end{cases}[/tex]

So we need to take into account two cases

Case 1 - [tex]x-3\geq 0<=> x\geq 3[/tex]

Then, |x-3|=x-3

||x-3|-2|=|x-3-2|=|x-5|

Either x-5 is positive and then |x-5|=x-5 and

[tex]|x-5|\leq 1<=>x-5\leq 1<=>x\leq 6[/tex]

Or x-5 is negative and then, |x-5|=-x+5

[tex]|x-5|\leq 1<=>-x+5\leq 1<=>4\leq x[/tex]

So the solution is [4;6]

Case 2 - [tex]x-3< 0<=> x< 3[/tex]

Then, |x-3|=-x+3

||x-3|-2|=|-x+3-2|=|-x+1|

Either -x+1 is positive and then |-x+1|=-x+1 and

[tex]|-x+1|\leq 1<=>-x+1\leq 1<=>0\leq x[/tex]

Or -x+1 is negative and then, |-x+1|=x-1

[tex]|-x+1|\leq 1<=>x-1\leq 1<=>x\leq 2[/tex]

So the solution is [0;2]

Conclusion

The solution is [0;2]∪[4;6]

Thanks

Which of the numbers 8,9, or 10 is the solution to 70=8-x

Answers

Answer:

Step-by-step explanation:

Add x to both sides.

70 +x = 8

Subtract 70 from both sides.

x = 8 - 70

x = - 62

None of the answers fit.

a line passes trough the point (1/2,2/3) and has a y intercept of 4. what is the slope of the line written as a fraction?​

Answers

Answer:

I believe the Slope is (m) =

ΔY

ΔX

= 1/1 = 1. The answer is 1/1 instead of 1.

Step-by-step explanation:

find the inverse function of g(x) = sqrt x-7

Answers

the inverse is x²+7
.......

The inverse of g(x) is x² + 7

What is a function?

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

What is an inverse function?

The inverse function is defined as a function obtained by reversing the given function.

To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.

We have to find the inverse of the function below :

g(x) = √(x-7)

So after switching x and y,

g(x) = y = √(x - 7)

becomes

x = √(y - 7)

Now, we solve for y regularly.

g(x) = y = √(x - 7)

Solve for y :

⇒ y² = x - 7

⇒ x² = y - 7

⇒ y = x² + 7

Therefore the inverse of g(x) is x² + 7

Learn more about inverse function here:

brainly.com/question/2541698

#SPJ2

Katy is deciding which charity to donate to. She is going to donate fifty dollars to each charity chosen, and she can donate to a women's shelter (abbreviated B), a charity for rescue animals (abbreviated R), and a children's foundation (C). The dots in the Venn diagram below show the combinations that she can donate to. Let X be the event of donating fifty dollars each to two charities for a total of one hundred dollars. Let Y be the event of donating to the charity for rescue animals. Move the dots on the Venn diagram to place the dots in the correct event, X, Y,or X AND Y. Note that you might not use all of the dots.

Answers

Answer:

Step-by-step explanation:

The screenshot is the question.

Answers

Answer:

23

Step-by-step explanation:

∠ABE=∠BEF=4x (AC║EF)

∠DBE=5x

∠DBF=180=∠DBE+EBF=5x+65

5x=180-65

x=23

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