using data from 2010 and projected to 2020, the population of the United Kingdom (y, in millions) can be approximated by the equation 10.0y-4.55x=581. where x is the number of years after 2000 what is projected population in 2026?

Answers

Answer 1

Answer:

The projected population in 2026 is of 699.3 million.

Step-by-step explanation:

Population:

The population, in x years after 2000, is given by the follwing equation:

[tex]y - 4.55x = 581[/tex]

That is:

[tex]y(x) = 4.55x + 581[/tex]

What is projected population in 2026?

2026 - 2000 = 26, so this is y(26).

[tex]y(26) = 4.55(26) + 581 = 699.3[/tex]

The projected population in 2026 is of 699.3 million.


Related Questions

LCM of the given set of counting numbers 45,20,10

Answers

the lcm for 45, 20 and 10 would be 180
The LCM of the digits is 180.

-2 (8p+2) -3(2-7p)=2(4+2p)​

Answers

Answer:

p = 18

Step-by-step explanation:

Let's solve your equation step-by-step.

−2(8p+2)−3(2−7p)=2(4+2p)

Step 1: Simplify both sides of the equation.

−2(8p+2)−3(2−7p)=2(4+2p)

(−2)(8p)+(−2)(2)+(−3)(2)+(−3)(−7p)=(2)(4)+(2)(2p)(Distribute)

−16p+−4+−6+21p=8+4p

(−16p+21p)+(−4+−6)=4p+8(Combine Like Terms)

5p+−10=4p+8

5p−10=4p+8

Step 2: Subtract 4p from both sides.

5p−10−4p=4p+8−4p

p−10=8

Step 3: Add 10 to both sides.

p−10+10=8+10

p=18

Therefore, the final answer is 18, I hope this helps :D

Answer:

p=18

Step-by-step explanation:

See image below:)

A ladder 18 ft long rests against a vertical wall. Let θ be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from the wall, how fast does x change with respect to θ when θ = π 3 ?

Answers

Answer: [tex]9\ ft/rad[/tex]

Step-by-step explanation:

Given

Length of the ladder is [tex]l=18\ ft[/tex]

Angle between the wall and the ladder is [tex]\theta[/tex]

from the figure, we can write

[tex]\Rightarrow \sin \theta=\dfrac{x}{18}\\\\\Rightarrow x=18\sin \theta[/tex]

Differentiate the above equation w.r.t [tex]\theta[/tex]

[tex]\Rightarrow \dfrac{dx}{d\theta}=18\cos \theta\\\\\text{at }\theta=\dfrac{\pi }{3}\\\\\Rightarrow \dfrac{dx}{d\theta}=18\cos(\dfrac{\pi}{3})\\\\\Rightarrow \dfrac{dx}{d\theta}=18\times 0.5\\\\\Rightarrow \dfrac{dx}{d\theta}=9\ ft/rad[/tex]

A line passes through the origin and has a slope of 1/2.

Which of the following points does the line pass through?

(1/2, 1)
(1, 2)
(2, 1)
(0, 1/2)

Answers

Answer:

(2, 1)

Step-by-step explanation:

A line that passes through the origin and has a slope of 1/2 can be best represented as y = 1/2x

it starts at the origin

goes 2 units to the right

1 unit above

2 units to the right + 1 unit above = (2, 1)

Final Answer: (2, 1)

Answer:

2,1

Step-by-step explanation:

trust

A number z is greater than 3 and is less than or equal to 8

Answers

Answer:

z > 3

z <_8

.......................

Suppose that E and F are points on the number line.
If EF=9 and E lies at 4, where could F be located?
If there are several locations, separate them with commas.

Answers

9514 1404 393

Answer:

  -5 or 13

Step-by-step explanation:

A point that is 9 units from 4 on the number line ca be located at ...

  4 - 9 = -5

  4 + 9 = 13

F could be either of -5, 13.

what is 5.7916 rounded to the nearest thousandth?​

Answers

Answer:

5,792

Step-by-step explanation:

I'm pretty sure tell me if I'm wrong

Answer:

5.792

Step-by-step explanation:

To round to the nearest thousandth, look at the ten thousandths place.

If the number is greater than 5, we will round up. If it is 5 or less, we will keep the thousandths place the same.

There is a 6 in the ten thousandths place, so we will round up the thousandths place.

So, the rounded number will be 5.792

which of the following points lies on the line 2x-y=12

Answers

Answer:

You forgot something

Step-by-step explanation:

"which of the following points "

no points follow?????

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between and minutes. Find the probability that a randomly selected passenger has a waiting time minutes.

Answers

Answer:

Incomplete question, but I gave you a guide on the uniform distribution, and thus you just have to replace the values in these equations to find the desired probabilities.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{a - x}{b - a}[/tex]

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

Between a and b minutes.

Here you get a and b for the uniform distribution.

Find the probability that a randomly selected passenger has a waiting time minutes.

Here you will have the value of x.

Identify the: a) class width, b) class midpoints, and c) class boundaries for the given frequency distribution. Ages of Best Actors Age % 26-35 30 36-45 35 46-55 25 56-65 4 66-75 3 76-85 3

Answers

Answer:

Kindly check table below :

Step-by-step explanation:

Given :

Ages of Best Actors Age %

26-35 30

36-45 35

46-55 25

56-65 4

66-75 3

76-85 3

The class width = difference between the intervals = (35 - 26) = 10

Class midpoint = (sum of interval) / 2 = (26 + 35) / 2 = 61 / 2 = 30.5

The class boundaries :

Lower - 0.5 = 26 - 0.5 = 25.5

Upper + 0.5 = 35 + 0.5 = 35.5

Ages _ F ___Class Bound.__ classW__midpoint

26-35 _ 30 _ 25.5-35.5 ____ 10 _____ 30.5

36-45 _ 35 _ 35.5-45.5 ____ 10 _____ 40.5

46-55 _ 25 _ 45.5-55.5 ____ 10 _____ 50.5

56-65 _ 4 __ 55.5-65.5 ____ 10 _____ 60.5

66-75 _ 3 __ 65.5-75.5 _____10 _____ 70.5

76-85 _ 3 __ 75.5-85.5 _____ 10 _____ 80.5

Find the volume of the sphere. Round your answer to the nearest tenth.

Answers

Answer:

B..................................

Answer:

below

Step-by-step explanation:

v of sphere

v = 4/3 πr³

v= 4/3 *3.142*10³

v = 4188.8cm³

..... B is correct

37% of what number is 72?

Answers

The answer is 194.59

(72 x 100) / 37 = 194.59

Answer:

26.64

Step-by-step explanation:

37% of x = 72

0.37x = 72

isolate x

x = 72*0.37

x = 26.64

What is the volume of this figure?

Answers

Answer:

[tex]volume = 4 \times 4 \times 4 \\ = {4}^{3} \\ = 64 \: cubic \: ft[/tex]

PLEASE HELP ME!!!!

QUESTION WILL BE WORTH 10 POINTS!!!

I WILL MARK BRAINLIEST!!!!

Please answer the 3 questions on the picture.

I would appreciate it so much.

Answers

Answer:

lol i dont know but yo dog smell like evolution and natural selection?

Step-by-step explanation:

Answer:

11.) 180-38=142 12.)24.5 13.)im not sure but want to say 10

Step-by-step explanation:

Paul bakes raisin bars in a pan shaped like a rectangular prism. The volume of the pan is 480 cubic inches. The
HURRY PLEASE

length of the pan is
12 inches, and its width is 10 inches
V = 480 in^3
h = ?
12 in
10 in
What is the height of the pan?
Enter your answer in the box
in inches

Answers

Answer:

The height of the pan is 4 in.

Step-by-step explanation:

The sum of -5 + 6 and 7a - 8

Answers

7a-7

I hope you typed the question correctly because it was weird because -5+6=1

Answer:

1) 1

2) I'm getting no answer/ solution

Step-by-step explanation:

See image below:)

On a piece of paper, graph f(x)=16x0.5^x. Then determine which answer choice matches the graph you drew.

Answers

9514 1404 393

Answer:

  A

Step-by-step explanation:

You can use x=0 and x=1 to find points that must be on the graph.

  f(0) = 16·0.5^0 = 16

  f(1) = 16·0.5^1 = 8

Only graph A matches these points.

Sets L and J are defined as follows: L = { g , h , i , j , k } J = { i , l , m , n , o } Find the intersection of L and J .

Answers

Answer:

Step-by-step explanation:a

Answer:

The answer is L∩J= {i}

Step-by-step explanation:

I just took a quiz and this was the correct answer

Summer School 2020 Math 8 NWLSD
TUWW
Oriya
Mr. Williamson bought 4 boxes of chewy granola bars and 5 boxes of crunchy granola bars. Each box contained the
same number of granola bars. He took all 72 granola bars to the class picnic. How many granola bars were in each
box?
Let x represent the number of granola bars in each box.
Step 1: Write an equation.
Step 2: Identify and combine like terms.
Step 3: Use the properties of equality and inverse operations to solve the equation.
Done
Intro
DODO

Answers

Answer:

8 granola bars in each box

Step-by-step explanation:

The equation is 4x+5x=72

4x and 5x are like terms, so combine those 9x=72

Use the division property of equality to solve for x, x=8

1. Jeremy has $12000 cash to invest in the bank compounded at 4% interest annually.
a.
What equation will calculate the value in x years? y =

Answers

Answer:

[tex]A(x) = 12000(1.04)^x[/tex]

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

$12000 cash

This means that [tex]P = 12000[/tex]

Compounded at 4% interest annually.

This means that [tex]r = 0.04, n = 1[/tex]

What equation will calculate the value in x years?

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(x) = P(1 + \frac{r}{n})^{nx}[/tex]

[tex]A(x) = 12000(1 + 0.04)^x[/tex]

[tex]A(x) = 12000(1.04)^x[/tex]

Find the different
5-2

Answers

Answer:

3

Step-by-step explanation:

5-2=3 ¯\(◉‿◉)/¯

hope it may help you

mark as brainlist please!!

¯

Three boards are placed end to end to make a walkway. The first board is 4 feet 5 inches long, the second board is 6 feet 9 inches long,and the third board is 3 feet 11 inches long. How long is the walkway?

Answers

Answer:

15 feet and 1 inch long

Step-by-step explanation:

add up the feet: 4+6+3= 13 feet

add up the inches: 5+9+11 = 25 inches

25/12= 2 feet 1 inch

13 feet + 2 feet + 1 inch= 15 feet 1 inch

Provide a formula that can be used to determine whether a point in a circle that is centered about (0,0) with a diameter of 12

Answers

Answer:

x² + y² = 36

Step-by-step explanation:

The formula for the circle is

x² + y² = 36

If the point is on the circle it will equal 36 when plugged into the formula

Point(6, 0)

6² + 0 = 36

36 = 36    on the circle

point (5, 1)

5² + 1² = ?

25 + 1 = 26

26 ≠ 36      not on the circle

Step-by-step explanation:

hhajjbahhahahsshahhshshshshssbhssjdj

Madelyn needs to order some new supplies for the restaurant where she works. The restaurant needs at least 518 glasses. There are currently 314 glasses. If each set on sale contains 8 glasses, which inequality can be used to determine s, the minimum number of sets of glasses Madelyn should buy? Submit Answer 518 < 8(314 + 8) O 518 > 8(314+ s) O 314 +8s < 518 314 +8s > 518​

Answers

Answer:

(D)

314 + 8s >= 518

Step-by-step explanation:

Answer: 314 + 8s ≥ 518

Evaluate the function.
f(x) = -x2 + 6x + 4
Find f(-7)

PLSS HELP TODAY IS THE LAST DAY

Answers

Answer:

-87

Step-by-step explanation:

-(-7^2) + 6(-7) + 4

-49 -42 + 4

-87

Answer:

f(-7) = -3

Step-by-step explanation:

The exponentiation x^2 must be done before multiplication by the coefficient -1.  

Substituting -7 for x, we get:

-(-7)^2 +  6(-7) + 4 = f(-7)

Then f(-7) = -49 + 42 + 4, or

f(-7) = -3

The expression for ordering brushes for an art class is 5c - 1, where c is the class limit. Evaluate the expression when the class limit is 34. When the class limit is 34, the expression evaluates to​

Answers

Answer: 169'

Step-by-step explanation:

Since the expression for ordering brushes for an art class is given as 5c - 1, where c is the class limit.

Therefore, when the class limit is 34, the expression evaluated will then be:

= 5c - 1

= 5(34) - 1

= 170 - 1

= 169

Therefore, 169 brushes were ordered.

1. For each of 200 randomly selected cities, Gary recorded the number of churches
in the city (x) and the number of homicides in the past decade (y). He calculated
the linear correlation coefficient and was surprised to find a strong positive linear
correlation for the two variables. Does this suggest that building new churches
causes an increase in the number of homicides? Why do you think that a strong
positive linear correlation coefficient was obtained? Explain your answer with
reference to the term lurking variable.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

When certain variables are examined, there seems to be a sort of spurious relatuoshipnornassocuation between the two variables, this is evident in the relationship between churches and the number of homicide, when a strong positive correlation is observed between number of churches and number of homicides, this relationship is most likely to be due to the effect of a lurking or third variable which creeped into our analysis, a factor which has a posithe correlation on both number of churches and homicide level, Number of homicide and number of churches could have been correlated by the lncreasing population which may lead to overcrowding and competition Hence increasing rate of homicide, similarly, with high rise in population, the growth of church to accommodate the populees will also creep in.

play help me on this​

Answers

Answer:

VTU    T     UTV     all work

Give me brainiest answer please it helps a lot! :D

Step-by-step explanation:

Answer:

The answer is A <VTU, B <T and D <UTV

Complete the following sentence to form a true statement. The expressions x2 - 14x + and (X - _)2 are equivalent. The e expressions x2 - 14x + [and (x-D) are equivalent (Simplify your answer. Type an integer or a fraction.)​

Answers

The expressions x2 - 14x + 49 and (x - 7)2 are equivalent.

(x + a)^2 = (x + a)(x + a) = x^2 + 2ax + a^2

In this case 2a = -14 so a= -7 and a^2 = 49

Andy is comparing how long two tablets can be used after being fully charged.
-
Tablet A Tablet B
(minutes) (minutes)
540
593
Mean
Median
580
589
NOR
21
13
MAD
6
2

Answers

Answer:

Part A: On average Tablet B's battery will last longer.

Part B: The MAD is lower in tablet B's battery life so Tablet B is more consistent.

Step-by-step explanation:

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