If the population doubles every 42 years then the population will be after 168 years from now, 7,498,000
What are exponential functions?An exponential function is a mathematical function which we write as a
f(x) = aˣ, where a is constant and x is variable term. The most commonly used exponential function is eˣ , where e is constant having value 2.7182
We can use exponential growth:
If the population doubles every 42 years, the population after t years can be modeled as:
P = 467,500 x 2^(t/42)
where P is the population after t years and 467,500 is the current population.
To find the population 168 years from now, we can plug in t = 168:
P = 467,500 x 2^(168/42)
= 467,500 x 2⁴
= 467,500 x 16
= 7,498,000
So, the population of the city 168 years from now is approximately 7,498,000.
To know more about exponential function check:
https://brainly.com/question/15352175
#SPJ5
Solve for m please quickly
Slope:-
[tex]\\ \rm\rightarrowtail m=\dfrac{5-2}{2-1}[/tex]
[tex]\\ \rm\rightarrowtail m=\dfrac{3}{1}[/tex]
[tex]\\ \rm\rightarrowtail m=3[/tex]
prove that the statement is true
AC ≅DB
Answer:
Can't answer with out the picture
Step-by-step explanation:
Bert's cab company charges $1.00 plus an additional $3.00 per mile for a ride. Madeline's cab company charges $3.00 plus an additional $2.00 per mile for a ride. At what distance, in miles, will the cost be the same for both companies?
PART A
Answer: _____
PART B
Which cab driver's charge will be less for a ride that is 10 miles in distance?
Answer choices: Bert's or Madeline's?
Please help! :D
Answer:
Step-by-step explanation:
PART A
Answer: no they will not be the same
PART B
Which cab driver's charge will be less for a ride that is 10 miles in distance?
Madeline's is cheaper
Bert's cab company costs $31 and Madeline's cab company costs $23
Help me with number three
Answer:
Volume: 16.76 cm^3
Surface area: 40.67 cm^2
Step-by-step explanation:
To find volume, you use the formula V=πr^2*h/3
To find the surface area you use formula A=πr(r+√h^2+r^2)
Answer:
V = 16.76
Surface Area = 40.67
Step-by-step explanation:
V=πr2h
A=πrl+πr2
Find the missing variables
Answer:
x=5;y=12
Step-by-step explanation:
Hope this answer helps you
Answer:
1st option
Step-by-step explanation:
the figure is a kite
the horizontal diagonal bisects the vertical diagonal , then
x = 5
The diagonals are perpendicular , so using Pythagoras' identity
x² + y² = 13²
5² + y² = 13²
25 + y² = 169 ( subtract 25 from both sides )
y² = 144 ( take square root of both sides )
y = [tex]\sqrt{144}[/tex] = 12
what is the exact and approximate area of a circle with a diameter of 6 feet? For the approximate area, round your answer to the nearest tenths place
Answer:
Exact: 9.42
Approx: 9
Step-by-step explanation:
The area of a circle is pi*radius^2 (pi=3.14 r=radius ^2= power of 2/squared)
The diameter is two times the radius. So, we need to divide the diameter by two for the first step of solving this.
6/2=3
Now, we know the radius is 3.
Let's square it:
3^2= 3*3
3*3=9
Now, the last step is to multiply it by pi (3.14)
3.14*3=9.42
There we go! The area is 9.42 feet!
100 POINTS
A scientist uses data from satellite images to draw conclusions about a region. After analyzing the data collected, the scientist issues a drought warning for the region.
Which data best supports the scientist’s decision to issue the warning?
(1 point)
New camping and recreational sites are changing the region’s ecosystem.
Air quality tests indicate an increase in toxins.
Large areas of forest are being cleared for logging.
Reservoirs and lake levels continue to drop significantly.
Which data best supports the scientist’s decision to issue the warning?
D) Reservoirs and lake levels continue to drop significantly.
Answer:
slay
Step-by-step explanation:
What is the value of t?
Answer:
43
Step-by-step explanation:
Write your own example of a biased question. I need this ASAP. Pls
Answer:
An example would be: Do you like cats or dogs more?
Step-by-step explanation:
The example for the biased survey question is : How awesome is the product?
What is a biased survey question?A survey question is biased if it is phrased or formatted in a way that skews people towards a certain answer.
The question : - How awesome is the product?
The Fixed: How would you rate this product?
The examples of biased survey questions listed above contains a judgment, implying that the product is “awesome,” The corrected phrasing, on the other hand, is more objective, and contains no insinuations.
Hence, the example for the biased survey question is : How awesome is the product?
Learn more about biased survey question, click;
https://brainly.com/question/30611695
#SPJ2
Consider the two-way table below. A 4-column table has 3 rows. The first column has entries A, B, total. The second column is labeled C with entries 15, 9, 24. The third column is labeled D with entries 21, 25, 46. The fourth column is labeled Total with entries 36, 34, 70. Find P(B|C). P(B|C) = StartFraction 9 Over 34 EndFraction = 0. 26 P(B|C) = StartFraction 9 Over 24 EndFraction = 0. 38 P(B|C) = StartFraction 9 Over 70 EndFraction = 0. 13 P(B|C) = StartFraction 9 Over 58 EndFraction = 0. 16.
The probability is the ratio of the favorable event to the total number of events. Then the P(B|C) is 0.38. Then the correct option is B.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.
According to the condition, the table will be
C D Total
A 15 21 36
B 9 25 34
Total 24 46 70
The probability of the (BIC) will be
[tex]\rm P(B|C) = \dfrac{9}{24}\\\\\\P(B|C) = 0.375 \approx 0.38[/tex]
The P(B|C) is 0.38. Then the correct option is B.
More about the probability link is given below.
https://brainly.com/question/795909
Which set of angle measures CANNOT be the angle measures of a triangle?
A 120.2°, 30.8°, 29°
B 2°, 2°, 176°
C 79°, 20°, 81°
D 60°, 61°, 60°
Answer:
D
Step-by-step explanation:
As stated elsewhere, two conditions must be met.
There are 3 angles in a triangle.They must add to 180Answers A B and C all meet these 2 conditions. It is only D that gives you the problem.
It adds to 181 which is not 180. 180 is written in stone, A triangle cannot have 179 degrees, nor can it have 181 degrees.
It must have 180.
D has 181 degrees. It cannot be a triangle.
A plane drops 300 feet, rises 240 feet, drops 180 feet, and rises 130 feet. What is the height of the plane now relative to its initial height?
Answer:
it is IH - 110 ft
Step-by-step explanation:
The plane height is down 110 feet from its initial height.
What is subtraction?Subtraction is mathematic operation. Which is used to remove terms or objects in expression.
Let x be the initial height of the plane.
Then according to question;
if drop down means height in negative term and rise up means height in the positive term.
Then,
the height is
= x -300-180+240+130
= x-110
Therefore, down 110 feet is the height of the plane now relative to its initial height.
To learn more about the subtraction;
https://brainly.com/question/2346316
#SPJ2
An object traveling with an initial constant speed along the y-axis begins to decelerate 4 kilometers before reaching a reference position. Its position is given by the function
y
=
−
t
2
+
3
t
−
4
, where t is the time in seconds. Which value is equal to the average rate of change of the function over the interval
(
0
,
−
4
)
to
(
2
,
−
2
)
?
The value that is equal to the average rate of change of the function over the interval is equal is 1 m/s
The average rate of changeGiven the position of the object expressed as:
y = -t^2 + 3t - 4
In order to calculate the value that is equal to the average rate of change of the function over the interval (0, -4) and (2, -2), we will determine the slope of these two coordinates as shown;
Rate of change = -2-(-4)/2-0
Rate of change = -2+4/2
Rate of change = 2/2
Rate of change = 1 m/s
Hence the value that is equal to the average rate of change of the function over the interval is equal is 1 m/s
Learn more on rate of change here; https://brainly.com/question/8728504
I need help quickly!
What are the points using the equation 50x+y=-100?
Answer:
Equations .0 + 5Step-by-step explanation:
#BrainliestBunch7 > −2; Subtract 7 from both sides.
[tex]7 > -2\\7 -7 > -2-7\\0 > -9[/tex]
Hope that helped!
Which value for x makes the sentence true?
3/4x + 4 = 7
Answer:
(x) = 4
Step-by-step explanation:
3/4 (x) + 4 = 7
3/4 (4) + 4 = 7
0.75 (4) + 4 = 7
3 + 4 = 7
7 = 7
What is the measure of ∠ABD?
Answer: 114 degrees
Step-by-step explanation:
The ratio of three numbers are 4:5:3. The sum of the numbers is 84. What are the 3 numbers?
Answer:
if 4:5:3=84 you start by adding (4+5+3=9)....so 9 equals to 84 what about (4) cross multiply....you will 4=28 .....if 9 =84 what about 5 cross multiply.....you will get 35....if 9 =84 what about 3
cross multiply.....you will get 21 so the numbers are.
4=38
5=35
3=21
Mai received and spent money and the following ways last month. For each example write a sign number to represent the change in money from her perspective.
A. Her grandmother gave her $25 in a birthday card.
B. She earned $14 by babysitting.
C. She spent $10 on a ticket to a concert.
D. She donated three dollars to a local charity.
E. She got two dollar interest on money that was in her savings account
By knowing how to use positive numbers and negative numbers, we will see that the answers are:
A) C = $25B) C = $14C) C = -$10D) C = -$3E) C = $2How to represent each change?
By standard notation, if May wins money, then we represent this with a positive number.
While if she pays or has a debt, we represent the change with a negative number (because now she has less money than before).
A) She receives $25, so the change is:
C = $25
B) She earns $14, so the change is:
C = $14
C) She spends $10, so now she has $10 less than before, the change is:
C = -$10
D) She donated $3, so the change is:
C = -$3
E) She gots $2, then the change is:
C = $2.
If you want to learn more about money changes, you can read:
https://brainly.com/question/21841217
PLEASE HELP THIS IS MY 3RD TIME ASKING THIS I WILL GIVE BRAINLIEST PLEASE I REALLY NEED HELP
Which statements describe how the British controlled their colonies? Choose four correct answers.
A:After the Boer War, the Boers ruled themselves in South Africa.
B:Wars affected the ways Britain ruled its colonies.
C:Britain granted equal rights to all Africans.
D:Britain allowed Africans to benefit from their natural resources.
E:An independent South Africa was formed.
F:Britain did not protect the rights of black Africans.
Answer: A B E F
Step-by-step explanation:
i’m pretty sure it’s right
if (4x - 58) + x = 2, what is x??
First, combine like terms:
4x -58 +x =2 can be rewritten as 5x - 58 =2
Next, isolate the x on one side of the equation by adding 58 to both sides:
5x = 60
Now, isolate x again by dividing by 5 on both sides of the equation:
Answer: x = 12
Halpppppppp
-
-
-
-
-
Step-by-step explanation:
x = number of t- shirts
the function for the incurring costs is
c = 5x + 45
the function for the accumulating sale is
s = 20x
the break even point is when both functions deliver the same result.
20x = 5x + 45
15x = 45
x = 3
c = s = 5×3 + 45 = 20×3 = $60
they need to sell 3 t-shirts to break even.
at that point they will have incurred $60 in costs and collected the same amount in sales.
can someone pls help me with this
The circumference of a circle is 21pi what is the area?
Answer:
346.36
Step-by-step explanation:
C=piD
so the21 is theD
A=piR^2
R=D/2(1/2D)
A=22/7×21/2^2=346.36
Samantha spent 40 minutes on homework. Sixty percent of that time was spent on language arts. How many minutes were spent on language arts?
A 2-column table with 10 rows titled Time Spent. Column 1 has entries 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent. Column 2 has entries 4 minutes, 4 minutes, 4 minutes, 4 minutes, 4 minutes, 4 minutes, 4 minutes, 4 minutes, 4 minutes, 4 minutes.
Answer:
24 Minutes
Find 60 percent of 40.
Percent means over 100
,so 60% = 60/100 or 0.6
Multiply that by 40 to find 60% of it:
40 * 0.6 = 24
A Samantha spent percent 24 minutes on language arts out of the 40 minutes dedicated to her homework.
To find the number of minutes Samantha spent on language arts, to calculate 60% of the total time spent on homework.
Samantha spent a total of 40 minutes on homework.
To find 60% of 40 minutes, multiply 40 by 0.60 (since 60% is equivalent to 0.60):
60% of 40 = 0.60 × 40 = 24 minutes
Therefore, Samantha spent 24 minutes on language arts.
Regarding the 2-column table provided, it appears to be unrelated to the problem and does not directly provide information about Samantha's homework time. It contains entries for "Time Spent" in percentages and corresponding minutes, but these percentages and minutes do not seem to relate to the given problem.
To know more about percent here
https://brainly.com/question/31323953
#SPJ2
After 24 years, Rama will be 5 times as old as he is now . Find his Present Age .
Question :-
After 24 years, Rama will be 5 times as old as he is now . Find his Present Age .Answer :-
Present Age of Rama is 6 Years .[tex] \rule {180pt} {2pt} [/tex]
Given :-
After 20 years, Rama will be 5 times as old as he is Now .To Find :-
Present Age of Rama = ?Solution :-
As per the provided information in the given question, we have been given that After 20 years, Rama will be 5 times as old as he is now. And, we have been aksed to calculate Present Age of Rama.
Let :-
The Present Age of Rama be x .Therefore :-
[tex] \longmapsto \: \: \:\sf{x \: + \: 24 \: = \: 5x} \\ [/tex]
[tex] \longmapsto \: \: \sf{24 \: = \: 5x \: - \: x} \\ [/tex]
[tex] \longmapsto \: \: \sf{24 \: = \: 4x} \\ [/tex]
[tex] \longmapsto \: \: \sf{x \: = \: \dfrac{24}{4} } \\ [/tex]
[tex] \longmapsto \: \: \textbf{ \textsf{x \: = \: 6 }} [/tex]
Hence :-
Present Age of Rama = 6 years .[tex] \underline {\rule {180pt} {4pt}} [/tex]
Given :
After 24 years, Rama will be 5 times as old as he is now .⠀
To Find :
Rama's Present Age .⠀
Solution :
Let us assume the present age of Rama as x years .So, 5 times of his age will be 5x years.Now,
⠀
According to the Question :
[tex]{ \longrightarrow {\qquad {\sf 5x = x + 24 }}}[/tex]
⠀
Subracting x from both sides we get :
[tex]{ \longrightarrow {\qquad {\sf 5x - x= x - x+ 24 }}}[/tex]
[tex]{ \longrightarrow {\qquad {\sf 4x= \cancel{x} \: \: \cancel{- x}+ 24 }}}[/tex]
[tex]{ \longrightarrow {\qquad {\sf 4x= 24 }}}[/tex]
⠀
Dividing both sides by 4 we get :
[tex]{ \longrightarrow {\qquad {\sf \dfrac{4x}{4} = \dfrac{24}{4} }}}[/tex]
[tex]{ \longrightarrow {\qquad \pmb {\bf x= 6 }}}[/tex]
⠀
Therefore,
Rama's present age is 6 years.The value of y varies directly with x. When y = 0.3, x = 1 . What is the value of y when x is 35? 5 A 52.5 B 1.5 C 10 D 15
please help asap
Answer:
92
Step-by-step explanation:
Answer:
52.5
Step-by-step explanation:
30 POINTS!!
2/5v = 4
v = 10
True or False?
Answer:
its true
Step-by-step explanation:
[tex]\frac{2}{5} * \frac{10}{1}=\frac{20}{5}[/tex]
[tex]\frac{20}{5} = \frac{4}{1} = 4[/tex]
have a good day.
Answer:
True.
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Multiply the reciprocal of the fraction to both sides to isolate the variable, v.
The reciprocal in math is described as the quantity that is multiplied that will result in 1. In this case, you will multiply 5/2 to both sides of the equation:
[tex]\frac{2}{5}v = 4\\ \\(\frac{5}{2})\frac{2}{5}v = 4 * (\frac{5}{2})\\[/tex]
[tex]v = \frac{4 * 5}{2} = \frac{20}{2} = 10\\ v = 10[/tex] (True).
In this case, v = 10 will work to solve the given equation, and so it is true.
~
00:00
Some one help me out
In Toss-N-Turn at the County Fair, contestants flip a fair coin and then spin the pointer of a spinner with seven equal sections, numbered
1-7. Contestants win if the coin lands heads up and the pointer lands on an even number.
? Explain.
If Paulina wants to win a prize, should she play Toss-N-Turn or a different game that has a theoretical probability of winning of
1-5? explain.
Answer:
[tex]thats \: the \: answer \: pls \: brainliest[/tex]
Step-by-step explanation:
happy to help u
pls mark me as brainlist
Write As an equation
Answer:
x + 8 = 20
Step-by-step explanation:
Using the keywords;
'more than' (addition)
'a number' which we can consider a variable
and 'equals'
Answer: 8 + x =20
Step-by-step explanation: eight more than a number means 8 more than meaning plus, a number. So this is saying that 8 more than what ever that number is, will equal 20. We say x in the equation because x can be see as “the number”.
x = “the number” = 12
This is because 8 more than 12 is 20...
So 8 more than a number = 8 + x = 20