Answer:
=69805
Step-by-step explanation:
This is an exponential growth problem. If the population doubles periodically, it follows a law like this:
P(t) = P(0)e^kt
where P(0) is the initial population at time t=0, and k is a constant with units of years-1.
To find k, let t=0. Then P(t) = P(0) = initial population = 2183.
Since the population doubles every 28 years, we can write
P(t+28) = 2P(t)
P(0)ek(t+28) = 2[P(0)e^kt]
Simplifying,
e²⁸k = 2
k = ln(2) / 28 = 0.02475 years-¹
Finally,
P(t) = 2183e⁰.⁰²⁴⁷⁵t, t in years
P(t)= 2183e^0.02475t, t in years
Then at t=140 years from now,
P(140) = 2183e⁰.⁰²⁴⁷⁵×¹⁴⁰
P(140) = 2183e^(0.02475 × 140) = 69804.61168
=69805
Answer: 69,856
Step-by-step explanation: First, find out how many times the population will double. Divide the number of years by how long it takes for the population to double.
140÷28=5
The population will double 5 times.
Now figure out what the population will be after it doubles 5 times. Multiply the population by 2 a total of 5 times.
2,18322222=69,856
That calculation could also be written with exponents:
2,18325=69,856
After 140 years, the population will be 69,856 people.
please solve the given problem
Usr the law of,,,,,, , solve my math problem I will tell you about problems in comment
Answer:
1. 51511511151111 / 100000000000000
2. 56727776837787/ 10000000000000
Step-by-step explanation:
1. All you have to do for this problem is write over 10000000000000
[tex]51511511151111 / 100000000000000[/tex]
2. Write it overpower of 10
[tex]56727776837787/ 10000000000000[/tex]
3. You need to give me in order to solve
For a one-week period, three bus routes were observed. The results are shown in the table below.
On-Time Delayed Total
Bus Route A 28 7 35
Bus Route B 37 8 45
Bus Route C 24 6 30
Total 89 21 110
A bus is selected randomly. Which event has the highest probability?
A.
The bus is from route B and is delayed.
B.
The bus is from route A and is on time.
C.
The bus is from route C and is on time.
D.
The bus is from route C and is delayed.
Using it's concept, the event that has the highest probability is given as follows:
B. The bus is from route A and is on time.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
We have that out of the 110 buses, 8 are delayed from route B, hence:
P(A) = 8/110.
28 are on time from route A, hence:
P(B) = 28/110.
24 are on time from route C, hence:
P(C) = 24/110.
6 are delayed from route C, hence:
P(D) = 6/110.
Hence option B gives the highest probability.
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Answer:
B. The bus is from route A and is on time.
Step-by-step explanation:
[tex]\large \begin{array}{| c | c | c | c |}\cline{1-4} & \sf On-Time & \sf Delayed & \sf Total\\\cline{1-4} \sf Bus\:Route\:A & 28 & 7 & 35\\\cline{1-4} \sf Bus\:Route\:B & 37 & 8 & 45\\\cline{1-4} \sf Bus\:Route\:C & 24 & 6 & 30\\\cline{1-4} \sf Total & 89 & 21 & 110\\\cline{1-4}\end{array}[/tex]
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Therefore:
[tex]\textsf{P(Route B and delayed)}=\dfrac{8}{110}[/tex]
[tex]\textsf{P(Route A and on time)}=\dfrac{28}{110}[/tex]
[tex]\textsf{P(Route C and on time)}=\dfrac{24}{110}[/tex]
[tex]\textsf{P(Route C and delayed)}=\dfrac{6}{110}[/tex]
So the event that has the highest probability is:
B. The bus is from route A and is on time.
Solve y^3=125, where y is a real number.
Simplify your answer as much as possible.
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".
30 POINTS
There are more than one solution of the equation. The solution of the equation when solved for y are 5, 2.5-4.3301i, 2.5+4.3301i.
How to find one solution of equation?
If the equation is given a unique and single value of variable after solving, then the equation is said one solution equation. Such equation gives exactly one solution.
The three solution of an equation are-
One solution- When the graph provides the single value of the given variable, we get one or unique solution.No solution- When the graph of equations is equal than it provides the no solution. When the value, does not equate for the expression, then the expression has no solution.Infinite many solution-For the same line, the equation has the infinite many solution.
The expression for y is given as,
y³=125
Here, y is a real number. equate the equation to zero,
y³-125=0
y³-5³=0
Use the formula of difference of two perfect cube as,
(y-5)(y²+5y+25)=0
The values of y we get after solving the equation as,
y=5, 2.5-4.3301i, 2.5+4.3301i
Thus, there are more than one solution of the equation. The solution of the equation when solved for y are 5, 2.5-4.3301i, 2.5+4.3301i.
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what is the surface area of the triangular prism shown
Check the picture below.
[tex]\stackrel{\textit{\LARGE Areas}}{\stackrel{two~triangles}{2\left[\cfrac{1}{2}(15)(8) \right]}~~ + ~~\stackrel{rectangle}{(25)(15)}~~ + ~~\stackrel{rectangle}{(25)(17)}~~ + ~~\stackrel{rectangle}{(25)(8)}} \\\\\\ 120~~ + ~~375~~ + ~~425~~ + ~~200\implies 1120~yd^2[/tex]
If a subtended arc has a measure of ______, then the
A. 40 B. 70 C. 110 D. 60
inscribed angle must have a measure of ______.
A. 210 B. 220 C. 20 D. 140
Answer: A, C
Step-by-step explanation:
The measure of an incsribed angle is half the measure of the arc it subtends.
Help please it's algebra will give brainliest
What is the value of c when f=86
Answer: Option A
Step-by-step explanation:
Replace F with 86 then solve
86 - 32 = 54
54 × 5/9 = 30
C =30
Answer:
Step-by-step explanation:
5/9(86-32)
5/9(54)
5(6)= 30
answer is A
How many solutions are there for the system of equations shown on the graph?
Answer:
What Graph?
Step-by-step explanation:
Answer:
you have to put the image of the graph
Help! What is the remainder when 4x^3+8x-32 is divided by x+10
Enter your answer as an integer, like this: 42
Answer: -4112
Step-by-step explanation:
EDULASTIC
full explanation please
Answer:
138°Step-by-step explanation:
Sum of supplementary angles is 180°
m∠A + m∠B = 180°Find the value of x
2x - 24° + 5x - 27° = 180°7x - 51° = 180°7x = 180° + 51°7x = 231°x = 231°/7x = 33°Find the measure of ∠B
m∠B = 5*33° - 27° = 138°Supplementary angles have sum 180°
2x-24+5x-27=1807x-51=1807x=231x=33<B
5(33)-27138°Which of the following is a business organization owned by a group of people for their mutual benefit?
-a professional organization
-a labor union
-a cooperative
-a limited liability partnership
13.) Find the area of the shaded region if the side length of the square is 8 in.
Help fast please!
Answer:
Area of shaded region = 6.88 square inchesStep-by-step explanation:
Area of shaded region
When we subtract the area of the circle from the area of square, we get the area of the 4 corners. When we divide that by 2, we get the area of 2 corners(shaded).
[tex]\sf \boxed{\text{Area of the shaded region =$\dfrac{Area \ of \ square - area \ of \ circle}{2}$}}[/tex]
Area of square = side *side
= 8 * 8
= 64 square inches
Circle:diameter of the circle = side of the square
d = 8 in
r = 8/2 = 4 in
[tex]\sf \text{Area of circle = \pi r^2}[/tex] Area of circle = πr²
= 3.14 * 4 * 4
= 50.24 square inches
[tex]\sf \text{Area of shade region = \dfrac{64 - 50.24 }{2}}[/tex]
[tex]\sf \text{Area of the shade region = $\dfrac{64 - 50.24}{2}$}[/tex]
[tex]\sf = \dfrac{13.76}{2}\\\\= 6.88 \ square inches[/tex]
A water tank is in the shape of a right rectangular prism. Its dimensions are 6 feet by 4 feet by 7 feet. What is the surface area of this tank?
A. 110
B. 125
C. 144
D. 188
Answer:
b
Step-by-step explanation:
If a cat falls out of a tree, it has a probability of 0.92 that it will land
on its feet. If a cat climbs a tree and falls out, then climbs the tree
and falls out again, what is the probability that it lands on its feet
both times?
The probability that the cat lands on its feet both times it falls out of a tree is 0.85
How to determine the probability?The probability that the cat lands on its feet is given as:
P(Feet) = 0.92
The probability that it lands on its feet twice is calculated using:
P = P(Feet) * P(Feet)
So, we have:
P = 0.92 * 0.92
Evaluate
P = 0.85
Hence, the probability is 0.85
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HELP PLEASE ILL GIVE BRAINLEST
Answer:
12 different rectangles.
Step-by-step explanation:
I just divided 24 and got 12
Population of fishes in a pond is directly proportional to amount of fishes present in the bond. if initially there are 5000 fishes in the pond. (a) write it in the form of differential equation. (b)find its general solution. (c) What will be the population after 6 months
Using separation of variables for the differential equation, it is found that:
a) The differential equation is: [tex]\frac{dP}{dt} = kP[/tex]
b) The solution is: [tex]P(t) = 5000e^{kt}[/tex]
c) In 6 months, the population is: [tex]P(6) = 5000e^{6k}[/tex]
What is the differential equation?Population of fishes in a pond is directly proportional to amount of fishes present in the bond, hence the differential equation is:
[tex]\frac{dP}{dt} = kP[/tex]
In which k is the growth rate.
What is separation of variables?In separation of variables, we place all the factors of y on one side of the equation with dy, all the factors of x on the other side with dx, and integrate both sides.
Hence, for the differential equation in this problem:
[tex]\frac{dP}{dt} = kP[/tex]
[tex]\frac{dP}{P} = k dt[/tex]
[tex]\int \frac{dP}{P} = \int k dt[/tex]
[tex]\ln{P} = kt + P(0)[/tex]
[tex]P(t) = P(0)e^{kt}[/tex]
In which P(0) = 5000 is the initial population, hence:
[tex]P(t) = 5000e^{kt}[/tex]
In 6 months, the population is:
[tex]P(6) = 5000e^{6k}[/tex]
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A copy machine makes 28 copier per minute how many copies does it make in 4 minutes and 15 seconds
Answer:
check photo for detailed analysis
Answer:
119 copies
Step-by-step explanation:
Given that,
→ 1 minute = 28 copies
Copies made in 4 minutes & 15 seconds,
→ 28 × (4 + 15/60)
→ 28 × (4 + 1/4)
→ 28 × (16+1)/4
→ 28 × 17/4
→ 476/4
→ [ 119 copies ]
Hence, the machine made 119 copies.
Isabella bought a CD player at the store. She will receive the bill at the end of the month. She plans to pay $30 each month until the bill is paid in full. How did Isabella pay for the CD player? cash check credit card debit card.
The method that was used by Isabella to pay for the CD players is a credit card.
What is a credit card?A credit card is a line of credit that is extended by a bank to the holder of the credit card. The bank extends credit to the credit cardholder based on the holder's credit worthiness.
The holder of the credit card is expected to make payments on debts owed at the end of every month until all the debt has been repaid.
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Answer:
Isabella bought a CD player at the store. She will receive the bill at the end of the month. She plans to pay $30 each month until the bill is paid in full. How did Isabella pay for the CD player?
❌ A) cash
❌ B) check
✔️ C) credit card❌ D) debit card
I Took Question Test Have Nice Day.
A triangle has sides with lengths of 4 meters, 5 meters, and 7 meters. Is it a right triangle?
I'll give 20 points just please tell me the right answer. What is the correct set up to solve for x
Answer:
tan 19 = x/25
Step-by-step explanation:
x = tan 19 ✖️ 25
x = 0.3443 ✖️ 25
x = 8.6075
x = 8.61 (2 decimal places)
Find the value of a circle with the radius 4 ft use 3.14 for π and do not round
Answer:
Step-by-step explanation:
Find the measures of angles Q and S. Number 7!
Check the picture below.
Three friends go shopping together and buy the same kind of rice.
Placido buys 2 pounds and pays $4.50. Sophia buys 3 lb and pays $6.75.
Roger buys 4 lb and pays $9.00.
Identify the graph and unit price that represent the cost of the rice.
Answer:
1 pound of rice is $2.25. Counting up the graph, - 2, 4, 6, 8, 10.
Step-by-step explanation:
You didn't add the picture so this is how I explained it.
How many 1/4-inch segments are in a length of 31/2 inches?
Answer:
depends?
Step-by-step explanation:
(31/2)/(1/4) or (3 1/2)/(1/4) aka (7/2)/(1/4)?
Each figure below is part of a capital letter in the English alphabet. To find the whole
letter, combine the figure with its image for the appropriate rotation or reflection. What letter corresponds to each figure? What transformation produces each letter?
The letters in full are given as L, C C, C C, L, L, A, L, L, O, and M. They are identified by either reflecting them or rotating them. See below which of the elements gives the result for each.
First, what is a rotation in mathematics?Rotation in mathematics is defined as the act of turning an element by one or more degrees about one fixed axis or central point such that the object faces different directions each time.
What is a reflection in mathematics?According to the rules of geometry, a reflection occurs when an object is flipped into its mirror image. See the attached as an example.
Both reflections and rotation are known as transformation.
What transformation produces each letter?The transformation of the 1st letter is reflection.The conversion of the 2nd letter is reflection.Rotation is the transformation of the 3rd letter.Rotation is the 4th letter's transformation.Reflection is the 5th letter's transformation.The change of the 6th letter is reflection.Rotation is the transformation of the 7th letter.The transformation of the eighth letter is reflection.The transformation of the 9th letter is reflection.Rotation is the 10th letter's transformation.The transformation of the 11thletter is reflection.The transformation of the 12th letter is reflection.Learn more about Reflections and Rotations in Mathematics at;
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At a school canteen, a student can choose his snacks from 3 drinks (iced tea, orange juice and buko juice) and 4 foods (sandwich, fruit salad, banana cue and biscuit).
1. What is the experiment? _____
2. If your simple event is choosing one among the 3 drinks (iced tea, orange juice and buko juice), what will be the outcome and the sample space S?
Outcome_____
Sample space S = _____
3. If your compound event is to choose your snacks from the available variety of drinks and foods, what will be the outcomes and the sample space S?
Outcome_____
Sample space S = _____
4. Complete the tree diagram below showing the outcomes of the experiment.
(ITS ON THE PICTURE. TYSM!!!)
HELLO! AND GOOD EVENING! BLESS YOU AND THANKYOU IF YOU CAN HELO ME WITH THIS ONE. I WILL LITERALLY PRAY FOR YOUR GOOD FORTUNE. >< ♡
Answer:
check the attachment for your answer
Step-by-step explanation:
Total piston displacement is given by the following formula: TT P.D.ED?LN 4 Where P.D. = piston displacement, in cubic inches D = diameter of bore of cylinder L = length of stroke, in inches N = number of cycles Find the diameter if P.D. = 400 cu in., L = 4.5 in., N = 6 in. to 2 Find the diameter: decimal places Do NOT put in units
Answer:
4.34 inches
Step-by-step explanation:
You want the diameter of a cylinder if the stroke length is 4.5 in, and 6 of them have a volume of 400 in³.
FormulaFilling the given values into the formula, we have ...
400 = π/4(d²)(4.5)(6)
d² = 400(4)/(4.5·6π) . . . . . . . . . divide by the coefficient of d²
d = 40/(3√(3π)) ≈ 4.34 . . . . . . . take the square root
The diameter is about 4.34 inches.
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The numbers 2 , 3 , 5 and x have an average equal to 4. What is x?
PLEASE HELP ILL GIVE 53 POINTS
Jim earned $127.59 last month. He spent about
20% of the money. Which is the closest estimate
of the amount of money Jim spent?
A. $13
B. $20
C. $26
D. $30
Answer:
C. $26 is the closest estimate
Step-by-step explanation:
127.59 rounded is 128
128 x 0.2 = 25.6
25.6 is closest to 26 so C is the answer
so that is the closest estimate
this should be correct! :)
