Mexico City, Mexico, is the world's second largest metropolis and is also one of its fastest-growing cities with a projected growth rate of 3.2% per year. Its population in 1991 was 20,899,000 people. Use the formula P = 20.899e^0.032t to predict its population P in millions with t equal to the number of years after 1991. What is the predicted population to the nearest thousand of Mexico City for the year 2010?
Answer:
Predicted population of Mexico City in year 2010 = 38386000
Step-by-step explanation:
Formula to be used for the population of Mexico,
P = 20.899[tex]e^{0.032t}[/tex]
Where t = Duration after year 1991
P = Final population
Number of years between 2010 and 1991 = 19 years
Predicted population of Mexico city after 2010 = 20.899[tex]e^{0.032\times 19}[/tex]
= 20.899 × (1.8368)
= 38.38633 million
= 38.386 million
Therefore, predicted population of Mexico City in year 2010 = 38386000
Answer:
38386000
Step-by-step explanation:
got it right on edge
Carlos has saved $19.80. Shaq saved 5/6 of the amount that Carlos saved. Deontae saved 4 times as much as shaq. What is the total saved amount of all threw
A blouse that is size x in country A is size s(x) in country B, where s(x)x. A blouse that is size x in the country B is size t(x) in country C, where t(x)x. Find a function f(x) that will convert blouse sizes in country A to blouse sizes in country C.
Answer:
f(x) = [k(x): x = s(x) = t(x)]
Step-by-step explanation:
To make the question clearer, rewrite;
A blouse that is size x in country A is size s(x) in country B.
s(x) = x
A blouse that is size x in country B is size t(x) in country C.
t(x) = x
Find a function f(x) that will convert blouse sizes in country A to blouse sizes in country C.
f(x) = [k(x): x = s(x) = t(x)]
Interpretation:
f of x is equal to k of x such that x is equal to s of x which is also equal to t of x.
Where the other blouse sizes are represented by k(x) or as a function of the given size x.
determine whether the given expressions are perfect square trinomials. Write "P" if it is a perfect square trinomial and "N" if not. Write your answer on your answer sheet.
1.) a^2 - 22a + 121
2.) b^2 - 8b + 16
3.) 4d^2 + 20d - 25
4.) 100 + 50e + e^2
5.) 36r^2 - 60rt + 25t^2
thank you in Advance
Write the equation of a line with slope 2 and y-intercept −1.
Pls I need help with this quick
Answer:
[tex]y=2x-1[/tex]
Step-by-step explanation:
The equation of the line in slope-intercept form is:
y=mx+b
Being m the slope and b the y-intercept.
The question provides both the slope m=2 and the y-intercept b=-1.
Thus, substituting:
[tex]\boxed{y=2x-1}[/tex]
write an inequality for the following statement :
c is less than 1
Answer:
c < 1
Step-by-step explanation:
less than is <
c < 1
Hector is dividing students into groups for a nature hike. He wants to divide the boys and girls so that each group has the same number of both boys and girls. There are 21 boys and 56 girls signed up for the hike. Into how many groups can the students be divided? How many boys and how many girls will be in each group?
Answer: The students can be divided into 7 groups.
Each group will have 3 boys and 8 girls.
Step-by-step explanation:
There are 21 boys and 56 girls.
To divide them so that each group has the same number of both boys and girls.
We find GCD(21,56).
21 = 3 x 7
56 = 2 x 2 x 2 x 7
GCD (21,56) = 7
So, the students can be divided into 7 groups.
Number of girls in each group = [tex]\dfrac{56}{7}=8[/tex]
Number of boys in each group = [tex]\dfrac{21}{7}=3[/tex]
So, each group will have 3 boys and 8 girls.
Which one ?
A. B. C. or D?
Answer:
ummm...............
PLS HELP ILL MARK YOU BRAINEST DUE SOON
Answer:
A, B, C, D or simplify all of them
Step-by-step explanation:
Answer:
all 4 of them
Step-by-step explanation:
a. 29x + 92 = 29x - 11
0x + 92 = -11
0x ≠ -103
b. 29x + 11 = 29x - 11
0x + 11 = -11
0x = -22
0 ≠ -22
c. 29x - 29 = 29x - 11
0x = 18
0 ≠ 18
d. 29x + 29 = 29x - 11
0x + 29 = -11
0x = -40
0 ≠ 40
In the diagram below, m
Answer:
∠AEB = 62°
∠CED = 62°
∠CDE = 36°
Step-by-step explanation:
The measure of ∠m = ∠CDE of the triangle and ∠CDE = 36°
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the first triangle be represented as ΔABE
Let the second triangle be represented as ΔCDE
The measure of angle ∠EAB = 62°
The measure of angle ∠ABE = 56°
The sum of the interior angles of a triangle = 180°
So , the measure of angle ∠AEB = 180° - ( 62° + 56° )
The measure of angle ∠AEB = 180° - 118°
The measure of angle ∠AEB = 62°
And , by vertically opposite angles
The measure of angle ∠AEB = measure of angle ∠CED
And , the measure of ∠CDE = 180° - ( 82° + 62° )
The measure of ∠D = 180° - 144°
The measure of ∠D = 36°
Therefore , the measure of ∠m = 36°
Hence , the measure of angle ∠D is 36°
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Is this a function or no
Answer: Yes it is a function
Step-by-step explanation:
Answer:
YES
Step-by-step explanation:
How do you solve 26 = 18v Equation
Answer:
v = 1.444
Step-by-step explanation:
v = 26/18
v = 1.444
Answer:
26 = 18v
=> 26 / 18 = v (By the law of transposition)
=> 13/9 = v
=> 1.44444 repeating = v (After solving)
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
Which number is rational, an integer, and a real number?
A. 1.5
B.
C. There is no such nurnber.
D. -5
subtract from both sides -6- (8.4) =1.2x +8.4 - (8.4)
Answer: -6- (8.4) =1.2x +8.4 - (8.4)
X = - 12
· Yolanda deposited $3,547 into an account that earns 4.5%
simple annual interest. Calculate the interest Yolanda will earn
after 6 years. How much will Yolanda have in her account after 6
years?
Answer:
$4,504.69
Step-by-step explanation:
Solve the inequality:
u^2 > 8u + 33
Answer:
u<−3 or u>11
Step-by-step explanation:
u2=8u+33
u2−(8u+33)=8u+33−(8u+33)(Subtract 8u+33 from both sides)
u2−8u−33=0
(u+3)(u−11)=0(Factor left side of equation)
u+3=0 or u−11=0(Set factors equal to 0)
u=−3 or u=11
1.) 9x + 2x - 5x + 7 - 6
Answer:
6x+1
Step-by-step explanation:
9x+2x-5x+7-6
11x-5x+7-6
6x+1
Awnser: 6x+1 :D
What you do is you split it in half so 9x plus 2x is 11x minus 5x is 6x. 7-6 is 1. Put them together and you get 6x+1
2. Lauren is thinking about spending all of her allowance money to buy a new bike. If she has $224
and she can only afford of the price of the bike, how much does the bike cost?
Answer:
$224
Step-by-step explanation:
The bike costs $224
From the expression of the problem, we know that she used all her money to buy the bike.
That means;
Allowance money = bike cost
Therefore, the cost of the bike is $224
What is the equation for the line that is parallel to y = 5x + 8 and passes through the point (2, 16)?
Answer:
y=5x+6
Step-by-step explanation:
The equation of line passes through the point (2, 16) will be;
⇒ y = 5x + 6
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The point on the line are (2, 16).
And, The parallel line is,
⇒ y = 5x + 8
Now,
Since, The equation of line passes through the point (2, 16).
So, We need to find the slope of the line.
Since, The slope of the parallel line is same.
Hence, Slope of the line is,
y = 5x + 8
m = dy/dx = 5
m = 5
Thus, The equation of line with slope 5 is,
⇒ y - 16 = 5 (x - 2)
⇒ y - 16 = 5x - 10
⇒ y = 5x - 10 + 16
⇒ y = 5x + 6
Therefore, The equation of line passes through the point (2, 16) will be;
⇒ y = 5x + 6
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A store sells 2 printers for every 5 computers the store sells 40 computers how many printers dose the store sell
Tell whether the equation has one, zero, infinitely many solutions.
3 ( y-2) = 3y - 6
infinitely many solutions
Step-by-step explanation:Hi there !
3(y - 2) = 3y - 6
3y - 6 = 3y - 6 | + 6
3y = 3y
true ∀ y ∈ R
Good luck !
In the expression 3x2y + 4x – 5x2y, are the terms 3x2y and –5x2y like terms? Explain by providing support for your answer.
Answer:
yes
Step-by-step explanation:
These are like terms because they have the same variables and powers. The coefficients do not need to match for it to be considered a like term.
Answer:
Sample Response: Yes, they are like terms because like terms have the same variables raised to the same powers. Both terms contain an x and y variable with the x variable squared.
Step-by-step explanation:
1. Which set of numbers includes the square root of 42?
a) irrational number
b) integers
c) rational numbers
d) whole numbers
2. What is the name of this set?
{ … -3, -2, -1, 0, 1, 2 3, …}
a) real numbers
b) integers
c) rational numbers
d) whole numbers
3. Which set does not include negative numbers?
a) real numbers
b) integers
c) rational numbers
d) whole numbers
4. Which of these equals an integer?
a) 12 ¸ 5
b) -12 ¸ 5
c) -15 ¸ 4
d) -15 ¸ 5
5. Which of these is closest to 150?
a) 12.2
b) 12.4
c) 14.2
d) 15
Answer:
C,B,D,A,D
Step-by-step explanation:
PLEASE HELP!!! I WILL GIVE BRAINLIST!
Answer:
Ok
Step-by-step explanation:
What’s the question
Write the domain and range of the function as an inequality
Domain = [tex]-\infty < x < +\infty[/tex]
Range = [tex]y \le -4[/tex]
======================================
Explanation:
The arrows on the graph indicate it goes on forever in both left and right directions. So the domain is the set of all real numbers and as an inequality, we write [tex]-\infty < x < +\infty[/tex] which is the same as saying [tex]-\infty < x < \infty[/tex]
This says x is between negative infinity and positive infinity.
In set builder notation, we would say [tex]\{x | x \in \mathbb{R}\}[/tex] and in interval notation, we would write [tex](-\infty, \infty)[/tex]
As you can probably see, the domain is the set of all possible x inputs of a function.
--------------------------
The range is the set of all possible y outputs of a function.
The largest output is y = -4 which is where the vertex is located.
There is no smallest y value as the arrows point down, and the graph goes forever in that direction.
So we say the range is [tex]-\infty < y \le -4[/tex] which shortens to [tex]y \le -4[/tex]
The range in set builder notation is [tex]\{y | y \in \mathbb{R}, \ y \le -4\}[/tex]
The range in interval notation is [tex](-\infty, -4][/tex] The square bracket says to include the endpoint, while the parenthesis excludes the endpoint.
HELP PLS (picture below)
C
Because it will equal 5,260 but all the other are bigger
10 is 6% of what
number?
Answer:
60
Step-by-step explanation:
10 × 6 is 60. if it asks the % of a number, you multiply the number by %
Answer:
60
Step-by-step explanation:
hope this helps
Several English professors categorized the literary works from their
seminars by time period and length, as shown in the table. According to
the table, what percent of the literary works with 500 or more pages are
from the 19th century?
Answer:
358
Step-by-step explanation:
Answer:
50%
Step-by-step explanation:
I catfished someone and I was being so nice I don’t think I’ve ever been that nice to someone the point is that imma Kermit (meme)
Answer:That’s um tuff
Step-by-step explanation:
Can someone help me create a slope story???
Answer:
I was walking home which I had to go up a hill I wanted to stop by the gas station which was a small hill upwords went back down that hill and the big hill to reach home.
Step-by-step explanation:
y axs = elavation
x axs = time
Hope that helped a little I need to do my hw but seen you needed help sorry if I did not help :(