Answer:
Population in 2100 is 17.99 billion.
Step-by-step explanation:
The population of the world in 2020 = 7.8 billion.
The growth rate = 1.05%
Now find the population after 2100. Use the below formula to find the population.
Population in 2100 = Population of 2020 (1 + growth rate)^n
Population in 2100 = 7.8 (1 + 0.0105)^80
Population in 2100 = 17.99 billions.
Now, find the growth rate in 2100.
dN/dt = [r N (K – N) ] / K
r = Malthusian parameter
K = carrying capacity.
Now divide both sides by K, now x = N/K then do the differential equation.
dx/dt = r x ( 1- x)
Now integrate, x(t) = 1/ [ 1 + (1/x – 1) c^-rt
From the first equation = dN/dt = (13 – 7.8) / 80 = (r × 7.8×(13 – 7.8) / 12
0.065 = (r × 7.8× 5.2) / 12
0.065 = r × 3.38
r = 1.92%
A standard number cube is rolled. Calculate: P(rolling 1 or 3)
Answer:
the probability is:
P(A) 2/6 =1/3
Now let's take rolling a prime number:
A prime number is a natural number greater than 1 which can only be divided without a remainder by 1 and itself. So from the numbers on the cube prime numbers are:
2, 3 and 5. The probability of getting a prime number in a single roll is:
P(B) =3/6=1/2
Now to calculate the probability of A and B
you have to multiply both probabilities:
P(A-B)=P(A) . P(B) = 1/3 . 1/2 = 1/6
Step-by-step explanation:)
picture attachment is below
Answer:
D
Step-by-step explanation:
A rational number will either end or repeat forever like the first three, but the fourth one, pi, will go on forever and never repeat, making it irrational.
The values in the table define the function Alx). If g(x) is the inverse of Ax), what is the value of g(1)?
xfx)
-1
-3
1
-1
4
1
6
4.
7
6
Answer: im pretty sure its D. 4
Step-by-step explanation:
144:12 = (60:12) +(__ : 12)
Answer:
x=84
Step-by-step explanation:
144/12 = 60/12 + x/12
12=5+x/12
12-5=x/12
7=x/12
x=84
plyy mark me as brainliest
Determine parallel, perpendicular, or neither!
square root of 4/16
can be classified as a____
number and a____
number.
2+99999999-7+638378892=?
Answer:
738,378,886
Step-by-step explanation:
1) Add 2+99,999,999 which equals to 100,000,001
2) Then, subtract 100,000,001 with 7 which is 99,999,994
3) Finally, add 99,999,994 with 638,378,892 which is 738,378,886
Hope this helps!
What is the equation of the line that is parallel to y = 2/3x+ 4 and passes through
the point (-7, 1)?
Answer:
The answer is
[tex]y = \frac{2}{3} x + \frac{17}{3} [/tex]Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the parallel line we must first find the slope of the original line
The original line is y = ⅔x + 4
Comparing with the general equation above
Slope = 2/3
Since the lines are parallel their slope are also the same
Slope of parallel line = 2/3
Equation of the line using point (-7 , 1) and slope 2/3 is
[tex]y - 1 = \frac{2}{3} (x + 7) \\ y - 1 = \frac{2}{3} x + \frac{14}{3} \\ y = \frac{2}{3} x + \frac{14}{3} + 1[/tex]
We have the final answer as
[tex]y = \frac{2}{3} x + \frac{17}{3} [/tex]Hope this helps you
Give another name for AE
Answer: [tex]\text{Line AE}=\overleftrightarrow{EA},\quad \overleftrightarrow{DA}, \quad \overleftrightarrow{AD},\quad \overleftrightarrow{ED},\quad \overleftrightarrow{DE},\quad \text{line r}[/tex]
[tex]\text{Segment AE}=\overline{EA}[/tex]
Step-by-step explanation:
The line can be named using ANY two points on the line or using the lower case letter.
The segment can be named by placing the letters in any order.
[tex]\overline{AE}=\overline{EA}[/tex]
Pls help i dont understand :( will mark brainliest!!
Answer:
375< y < 525
Step-by-step explanation:
The minimum is 15* 25 = 375
the maximum is 15 * 35 =525
He can earn any amount between these two values
if
[tex] \sqrt{16} [/tex]
=x then x^2 =
Quanto é 60 x 11 + 346²
Answer:
120376
Step-by-step explanation:
Primeiro peguei 60x11 e os multipliquei e obtive 660. Em seguida, descobri que 346 ^ 2 é 119716. Somei meus dois números e obtive 120376.
Espero que isso ajude você! :)
Enter the reciprocal of the fraction. 14/ 3
Answer:
3/14
Step-by-step explanation:
simply flip the number
Give the numerical coefficient of the term.
8m2
Evaluate the expression.
35 - (9+8) X 2 =?
Answer:
35-(17)×2
35-34
i think it helps you
☽------------❀-------------☾
Hi there!
~
[tex]35-(9+8)\times 2=[/tex]
[tex]= 35 - (17)(2)[/tex]
[tex]= 35 - 34[/tex]
[tex]= 1[/tex]
❀Hope this helped you!❀
☽------------❀-------------☾
What is the average rate of change of the function f (x) = between x = 1 and
x= 3?
Answe
try asking your techer for help and try divideing
Step-by-step explanation:
1. Find two functions f(x) and g(x) such that f[g(x)] = x but g[f(x)] does not equal x.2. State the vertical, horizontal asymptotes and zeros of the rational function, f(x) = {x^2+3x+2}/{x^2+5x+4}.Why is there no zero at x = –1?3. Give an example and explain why a polynomial can have fewer x-intercepts than its number of roots.
Answer:
1. [tex]f(x)=x^{2}[/tex] and [tex]g(x)=-\sqrt{x}[/tex]
2. Vertical Asymptote: x=-4
Horizontal Asymptote: y=1
Zeros: (-2,0)
Because the graph will have a hole at x=-1. This is, the graph is not defined for that particular x-value.
3. [tex]f(x)=x^{2}+4[/tex]
It has two complex roots, so there is no place in the graph where it crosses the x-axis.
Step-by-step explanation:
1. If we find the composite function f[g(x)] with the functions:
[tex]f(x)=x^{2}[/tex] and g(x)=-x, we will get the following:
[tex]f[g(x)]=(-\sqrt{x})^{2}[/tex]
which simplifies to
f[g(x)]=x
on the other hand, if we find g[f(x)] we will get the following:
[tex]g[f(x)]=-\sqrt{x^2}[/tex]
which simplifies to:
g[f(x)]=-x
2.
Before finding the asymptotes, it's a good idea to factor both the numerator and denominator of the function, so we get:
[tex]f(x)=\frac{x^{2}+3x+2}{x^{2}+5x+4}[/tex]
[tex]f(x)=\frac{(x+2)(x+1)}{(x+4)(x+1)}[/tex]
we can now see that this function can be simplified. It is important to simplify this function so we don't confuse vertical asymptotes with holes in the graph, so when simplifying we get the following:
[tex]f(x)=\frac{x+2}{x+4}[/tex]
now we can set the denominator equal to zero.
x+4=0
and solve for x:
x=-4 this is our vertical asymptote.
For the horizontal asymptote, there is a rule that tells us that if the polynomials on the numerator and denominator have the same degree (the same greatest power), then the horizontal asymptote is found by dividing the lead coefficient of the polynomial on the numerator by the lead coefficient on the denominator. In this case the lead coefficients are 1 and 1 so the horizontal asymptote is:
[tex]y=\frac{1}{1}[/tex]
so the horizontal asymptote is at:
y=1.
The zeros of the function are located at the x-values that will turn the numerator of the simplified fraction equal to zero, so we get:
x+2=0
x=-2
so the only zero will be located at (-2,0)
x=-1 is not a zero because the original function is not defined for x=-1, there is a hole in the graph at this x-value.
Take a look at the graph of the function (See attached picture)
3.
This will happen when there are no real zeros. Take for example the function:
[tex]f(x)=x^{2}+4[/tex]
In this case this problem has 2 non-real zeros:
[tex]x^{2}+4=0[/tex]
[tex]x^{2}=-4[/tex]
[tex]x=\sqrt{-4}[/tex]
so:
x=2i or x=-2i
since they are complex numbers they cannot be graphed on a coordinate axis, so the graph will not cross the x-axis. See attached picture.
What is the midpoint of A F?
Hey there! I'm happy to help!
A is -10 and F is -5. To find the number in between two numbers, you add them and divide by 2.
-10+(-5)=10-5=-15
-15/2=-7.5
So, the midpoint is -7.5, which is right in between C and D.
Have a wonderful day! :D
Amy, Kareem, and Jim served a total of 123 orders Monday at the school cafeteria. Kareem served 4 times as many orders as Jim. Amy served 9 fewer orders than Jim. How many orders did they each serve?
Choose the sentence that uses engaging details to describe Mr. Lee. A:Mr. Lee is an older man with gray hair who smiles a lot. B:Mr. Lee looks nice when he smiles. C: Mr. Lee’s entire face crinkles and lights up when he smiles.
Answer: Mr. Lee’s entire face crinkles and lights up when he smiles.
Step-by-step explanation:
Mr. Lee’s entire face crinkles and lights up when he smiles. Option C is correct.
Given that,
From the sentences, we have to determine the sentence that emphasizes the engaging details.
Content created by someone who is enthusiastic about the subject they are writing about is the most engaging content. If you write with passion and explain to readers why you are passionate, you might be able to persuade them to love your company as much as you do.
Here,
Option A and Option B is incorrect because the sentence describes different entities over the face.
While in option C engaging sentence the smile tends to bring crinkles and lights up the face.
Thus, Mr. Lee’s entire face crinkles and lights up when he smiles. Option C is correct.
Learn more about engaging sentences here,
https://brainly.com/question/17346475
#SPJ5
Identify the numerator and denominator of the following number.
1/6
I have 30 ones 2 thousands 4hundred thousands 60tens and 100 hundreds what number am I
Answer:
412,090
Step-by-step explanation:
math+math+brain+school
(3x +1)•2x – x^2 • 3
(3x + 1)^2
Answer:
3x^2 +2x9x^2 +6x+1Step-by-step explanation:
[tex](3x +1)\cdot 2x - x^2 \cdot 3\\\\=2x\left(3x+1\right)-3x^2\\\\\mathrm{Expand}\:2x\left(3x+1\right):\quad 6x^2+2x\\\\=6x^2+2x-x^2\cdot \:3\\\\\mathrm{Simplify}\:6x^2+2x-x^2\cdot \:3:\\\quad 3x^2+2x[/tex]
2.
[tex](3x + 1)^2\\\\\mathrm{Apply\:Perfect\:Square\:Formula}:\\\quad \left(a+b\right)^2=a^2+2ab+b^2\\\\a=3x,\:\:b=1\\\\=\left(3x\right)^2+2\cdot \:3x\cdot \:1+1^2\\\\\mathrm{Simplify}\:\left(3x\right)^2+2\cdot \:3x\cdot \:1+1^2:\\\quad 9x^2+6x+1[/tex]
If a club charges dues of $200 a year, it will have 50 members. For each $5 it raises its dues, it loses a member. USE AN EQUATION to determine what the club should charge to maximize its income from dues.
Answer:
The value is [tex]y = \$ 225[/tex]
Step-by-step explanation:
From the question we are told that
The amount charge per year is [tex]k = \$ 200[/tex]
The number of members it will have at this amount is [tex]n = 50[/tex]
The amount amount increase that will lead to the loss of a single member is [tex]z = \$ 5[/tex]
Generally the total amount the club would obtain from its members is mathematically represented as
[tex]I = Amount \ due\ paid * Number \ of members[/tex]
Now let x denote the number of member lost
Hence
[tex]I = (k + zx) (n-x )[/tex]
=> [tex]I = (200 + 5x) (50-x )[/tex]
=> [tex]I = 10000+50x-5x^2[/tex]
Thus the number of members that be removed to give the maximum income from dues is obtained by differentiating the above equation and equating it to zero
[tex]\frac{dI}{dx} = 50-10x[/tex]
=> [tex] x = 5[/tex]
So from [tex]I = (200 + 5x) (50-x )[/tex] we have
[tex]I = (200 + 5 (5)) (50-5 )[/tex]
[tex]I = \$ 10125 [/tex]
So the amount the club should charge is
[tex]y = \frac{10125}{50 - 5}[/tex]
[tex]y = \$ 225[/tex]
What number goes on top?
Answer:
33
Step-by-step explanation:
each upper cell is the sum of the two cells under it. For example 4 and 5 make 9 so 16+17=33
A question asks: How many hours per week do you watch television? The respondent can answer in minutes and/or hours. What would be the best numerical summary of data from 300 participants? A. Mean, standard deviation, and range B. Median, IQR, and range C. Number and percent of total for each response option D. A or B depending on the distribution of the sample E. B and C
Answer: D. A or B depending on the distribution of the sample
Step-by-step explanation:
Given: A question ask about how many hours per week do you watch television?
Total participants = 300
Since all participants are different , so have their own answer to this question in numerical terms.
We use proportion or percentage to summarize data if data is categorical, but here data is numerical (continuous).
here , we can use either mean or median ( if it has outliers).
For this we need to check the distribution of the data, if it is normal then Mean, standard deviation, and range would be a better option (as mean is the best measure of tendency)otherwise Median, IQR, and range would be a better option .
hence, the correct option is D. A or B depending on the distribution of the sample
I need help on these
Step-by-step explanation:
7 is C. 47.50
8 is B. 5 miles
What is the exact value of cos(195°)?
Answer:
I think it is the option c.
please mark me as the brainliest answer and please follow me for more answers to your questions.
Given 8x^2 – 3 + 4, what is (are) the constant(s)?
Answer:
-3 and 4
Step-by-step explanation:
[tex]-3[/tex] and [tex]4[/tex] are the constantssince they aren't multiplied a variable
6/5(8k+2)=-36solve equation
Answer:
k=-4
Step-by-step explanation:
[tex]\frac{6}{5} (8*-4+2) = -36[/tex]
Answer:
k = -4
Step-by-step explanation:
6/5 (8k + 2) = -36
5 x 6/5 (8k + 2) = -36 x 5
6(8k + 2) = -180
48k + 12 = -180
48k = -180 - 12
48k = -192
48k/48 = -192/48
k = -4
