PLEASW HELP
The number of bats in a colony is growing exponentially. After 4 years, there were 2025 bats. After 6
years, there were 18225 bats.
If the colony continues to grow at the same rate, how many bats are expected to be in the colony after
12 years? Do not include units in your answer.
Answers
Answer:
there would be around 40,000 colony of bats
There to be about 13,286,025 bats in the colony after 12 years if the growth rate remains constant.
What is Exponential Growth?An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases over time.
y = a(1+r)ˣ,
where a is the initial population and r is the rate in decimals and x is the time period.
To solve this problem, we need to use the formula for exponential growth:
N = N₀ (1 + r)ˣ
where:
N is the final number of bats after x years
N₀ is the initial number of bats
r is the annual growth rate (expressed as a decimal)
x is the number of years.
We can use the information given in the problem to find the values of N0, r, and t for the first two time periods:
For the first 4 years:
2025 = N₀(1 + r)⁴
For the next 2 years (6 years in total):
18225 = N₀ (1 + r)⁶
To solve for N₀ and r, we can divide the second equation by the first equation:
18225/2025 = (N₀ (1 + r)⁶) / (N₀(1 + r)⁴)
9 = (1 + r)²
Taking the square root of both sides, we get:
1 + r = 3
r = 2 (since r is expressed as a decimal)
Now that we know r, we can use either of the two original equations to find N₀. Let's use the first equation:
2025 = N₀(1 + 2)⁴
2025 = N₀(81)
N₀ = 25
So the initial number of bats was 25, and the annual growth rate is 200% (or 2 as a decimal).
Now we can use the formula to find the number of bats after 12 years:
N = 25 (1 + 2)¹²
N = 25 (531441)
N = 13,286,025
Therefore, we can expect there to be about 13,286,025 bats in the colony after 12 years if the growth rate remains constant.
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Related Questions
Is 12/18 a rational number
Answers
Answer:
yes,
Given value is Rational. The value is 0.6
Step-by-step explanation:
May anyone help me pls
Answers
Step-by-step explanation:
b is the smallest and then a , d, c, e
helpppp: Find the area of the figure.
Answers
Step-by-step explanation:
in such cases we always try to split the complex figure into non-overlapping simple figures, calculate their areas and add them up.
what simple figures can we see here ?
I see a rectangle 80m × 130m.
and that leaves for me a right-angled triangle in the upper right corner with the legs of
250-80 = 170 m and 130-50 = 80 m
the area of a rectangle is
length × width
the area of a right-angled triangle is
leg1 × leg2 / 2
the individual areas are
80×130 = 10,400 m²
170×80/2 = 170×40 = 6,800 m²
and that gives us a total for the whole area
10400 + 6800 = 17,200 m²
Fill in the blanks below with the correct units. (a) Carmen saw an elephant at the zoo. The elephant's mass was about 5000 ? . (b) Deandre drank about 300 ? of juice with lunch. (c) Martina's family went on a hike that was about 9 ? .
Answers
Answer:
a. 5000 kg
b. 300 ml
c. 9 hours
Which values are in the solution set of the compound inequality –8 < 3x + 7 ≤ 10? Select three options. –15 –5 –3 0 1
Answers
Answer:
Your answers: -5, 0, 1
Step-by-step explanation:
–8 < 3x + 7 ≤ 10 That is the original compount inequality given.
We need to solve it in order to get an easy option.
-15, -5, -3, 0, 1 are the options.
_________________________________________________
Steps to solve:
–8 < 3x + 7 ≤ 10
Subtract 7 from both sides
–8 < 3x ≤ 10 - 7
Now do 10-7
–8 < 3x ≤ 3
Do 3x divided by 3
–8 < x ≤ 1
________________________________________________________
Evaluation and Answer Explanation:
–8 < x ≤ 1
That is your inequality statement.
The inequality statement states that "x" is greater than -8 but less than or equal to 1.
We can automatically choose 0 and 1 because 0 is greater than -8 and less than or equal to 1.
1 is correct because it is greater than -8 and less than or equal to 1
Now, there are two answers remaining: -15; -5.
Let's try -15.
-15 isn't greater than -8 but is less than 1. This is incorrect because it follows one inequality but doesn't follow both.
**Rule: the bigger you go on the negatives like -20 or -99 your numbers get smaller. If you go more towards the 0 like -1, -5, -3 your numbers get bigger.
-5 works because it is greater than -8 and less than or equal to 1.
Your answers: -5, 0, 1
Can I please get help I don’t know how to use the numbers on the front
Answers
Please answer the questions (for 50 points) Also please show work on the answer
Answers
Answer:
144 sq cm
Step-by-step explanation:
The base is a triangle. Area of a triangle is:
A = 1/2 b • h
A = 1/2(4)•3
A = 6
There are 2 of these bases.
Area of 2 bases= 12.
There are three rectangular sides. Area of a rectangle is:
A = l × w (or b•h)
A = 5 × 11 = 55
A = 3 × 11 = 33
A = 4 × 11 = 44
Add up three rectangular faces and two bases for Total Surface Area:
12 + 55 + 33 + 44
= 144 sq cm
Answer:
144 cm ²
Step-by-step explanation:
The surface area of a right triangular prism is made up of 2 congruent triangles (these are called the "bases") and 3 rectangles.
Surface area of a right triangular prism formula
Surface area = (S₁ + S₂ + S₃)L + bh
where:
S₁, S₂ and S₃ are the side lengths of the triangleL is the length of the prismb is the length of the base of the triangleh is the height of the triangle⇒ Surface area = (3 + 4 + 5)11 + 4 × 3
= (12)11 + 12
= 132 + 12
= 144 cm²
Triangles ABC and DEF are
A. Similar triangles
B. Not similar triangles
Answers
Answer:
A. Similar triangles
Step-by-step explanation:
Triangle ABC
35° + 90° + x = 180°
125° + x = 180°
x = 180° - 125°
x = 55°
They are similar due to the occurrence in angles
PLEASE HURRY 30 POINTS
A number cube is rolled and a coin is tossed. The number cube and the coin are fair. What is the probability that the number rolled is greater than 2 and the coln
toss is heads?
Write your answer as a fraction in simplest form.
Answers
hope it helps...!!!!
The probability that the number rolled is greater than 2 and the coin toss is heads is,
⇒ 1/ 3
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Now, In probability theory, "AND" means multiplication and "OR" means "addition".
Hence, We can find the 2 probabilities separately and multiply them (as there is "AND")
So, Probability for number rolled greater than 2 = number of numbers that are greater than 2/total number of numbers
Since, There are 4 numbers greater than 2 in a die (3, 4, 5, 6) and total 6 numbers, so
P(number greater than 2) = 4/6 = 2/3
Now, Probability that heads come up in coin toss = 1/2 (there are 1 tail and 1 head in a coin)
Hence,
P(number greater than 2 and heads in coin) = 2/3 × 1/2 = 1/3
Thus, the probability that the number rolled is greater than 2 and the coin toss is heads is,
⇒ 1/ 3
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Let f(x) =5x-1, h(x)= -x+5.
Find (h of)(3).
(hof)(3)
Answers
(h ◦ f)(x) is the composition of h(x) with f(x),
(h ◦ f)(x) = h(f(x))
which we can compute by simplying replacing in h(x) every instance of x with f(x) itself:
(h ◦ f)(x) = h(f(x))
(h ◦ f)(x) = h(5x - 1)
(h ◦ f)(x) = -(5x - 1) + 5
(h ◦ f)(x) = -5x + 1 + 5
(h ◦ f)(x) = -5x + 6
Then
(h ◦ f)(3) = -5 • 3 + 6
(h ◦ f)(3) = -15 + 6
(h ◦ f)(3) = -9
Find csc theta if sin theta = 4/5
Answers
Answer:
5/4
Step-by-step explanation:
csc theta is essentially 1/sintheta
so you can say that csc theta is 5/4.
another way to do this is to draw the right triangle and find the values of all the sides. this way you'll be able to find all the trig values of the triangle.
post a comment if you want any further guidance or help.
The cost of a cab trip, y, is given by the table, where x is the number of miles traveled. Which THREE statements are
correct?
A)
The rate of change is $0.75.
B)
A ten mile trip would cost $12.00.
The initial passenger fee is $2.00.
D)
A twenty mile trip would cost $17.00.
E
The cost of a cab trip can be modeled by the function y = 1x + 2.
Answers
The three statements that describe this function are the rate of change is $0.75, the initial fee is $2, and a twenty-mile trip is $17.
What is a function?A function shows the mathematical relation between two factors. In this case, the factors are miles and cost.
What is true about this function:The rate of change is $0.75: The difference in the cost between one mile and the next one is always $0.75. For example, a 4-mile trip is $5 and a 3-mile trip is $4.25 (5-4.25= 0.75).The initial fee is $2: When the value of the miles is 0 the cost is $2, which shows this is the initial basic fee.A twenty-mile trip is $17: The function follows the pattern 2 + x (0.75); this means 2 + (20 x 0.75) = 2 + 15 = $17.Note: This question is incomplete because the image is missing. Here is the image:
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What is the sum of the infinite geometric series? −5+2−4/5+8/25−16/125...
Answers
Answer:
-25/7
Step-by-step explanation:
The sum of an infinite series with first term 'a' and common ratio 'r' is ...
S = a/(1 -r)
Your series has a=-5 and r=-2/5, so the sum is ...
S = (-5)/(1 -(-2/5)) = -5/(7/5) = -25/7
The sum of the series is -25/7.
Check out this rectangular prism 2 2 5 5 2 2 Find the surface area of the rectangular prism (above) using its net (below).
Answers
Easy math 2 pictures
Answers
Step-by-step explanation:
1) area = [tex]\pi[/tex] r^2
= 3.14*(11)^2
= 379.94inch
2) area = [tex]\pi[/tex]r^2
= 3.14*(4)^2
= 50.24/2 (semi circle)
= 25.12yards square
Elise drew p pictures. Nora drew 70 fewer pictures than Elise. Write an expression that shows how many pictures Nora drew
Answers
Answer:
p - 70
Step-by-step explanation:
elsie drew = p70 less than p
nora drew = p - 70Answer:
p - 70
Step-by-step explanation:
We're looking for the number of drawings Nora made, which is 70 fewer than Elise's, p. In instances like this, always subtract the number of less drawn from the quantity drawn by the other person, which is 70 - p. However, this would almost certainly result in a negative response, which isn't feasible. If you flip them over, you'll get p - 70.
The following graph is a function. True or False
Answers
Answer:
TRUE
Step-by-step explanation:
Do the pencil test . It doesnt have repeating X's.
Answer:
It is actually True so when you do it press true
If a circle has a diameter of 11.5 feet, what is the area?
Answers
Answer:
103.87 ft.
In this case, area equals [tex]\pi r^2[/tex]
The diameter is [tex]2r[/tex]
But before worrying about anything else, we must start the problem. Let's do that now.
The first step is to find the broken-down form of the area.
A = [tex]\frac{1}{4} \pi d^2[/tex]
Next, break this equation into a solvable definition.
[tex]\frac{1}{4} * \pi * 11.5[/tex]
Lastly, solve this equation, and round.
[tex]A[/tex] ≈ [tex]103.86891~ft^2[/tex]
HELP I GOT 2 mins please
Answers
Answer:
x=27 degrees
EAF= 27
Step-by-step explanation:
sorry if this isnt right i tried my best
Find any in the sequence -3, 6, -12, 24
Answers
Answer: 3
Step-by-step explanation:
go in evenly
Find the maximum number of children to whom 30 sweaters and 45
trousers can be equally distributed.also find how many sweaters and trousers each child got ?
Answers
Answer:
15 children2 sweaters; 3 trousers eachStep-by-step explanation:
The desired distribution can be found by factoring out the greatest common factor from two numbers.
30 sweaters + 45 trousers = 15(2 sweaters + 3 trousers)
Each of 15 children got 2 sweaters and 3 trousers.
_____
Additional comment
The two numbers can be factored as ...
30 = 2·3·5
45 = 3·3·5
The factors these numbers have in common are 3·5 = 15
Order of Operations
40 + (1 + 2) - 2
3[16 - (2 + 5)]^2
100-50/100-3(2+3)^2
Answers
Answer:
41, 243, 2
Step-by-step explanation:
40 + (1 + 2) - 2
=41
3[16 - (2 + 5)]^2
=243
100-50/100-3(2+3)^2
=2
*please show your work *
Find the volume of the rectangular prism in cubic yards.
《V = lwh》
2 feet
5 feet
8 feet
Answers
Answer:
V = 80
Step-by-step explanation:
V = lwh
V = 8(5)(2)
V = 40(2)
V= 80
How much is 240 in into ft
Answers
Answer:
How much is 240 in into ft 20 ft
Step-by-step explanation:
hope this helps
Divide 240 by 12
(12 inches in a foot)
the simple form of this is....
[tex] {2}^{3 } \div {2}^{ - 5} [/tex]
Answers
Answer: [tex]2^8 = 256[/tex]
Explanation:
The rule to use is
[tex]a^b \div a^c = a^{b-c}[/tex]
We subtract the exponents.
So in this case,
[tex]2^3 \div 2^{-5} = 2^{3-(-5)} = \boldsymbol{2^8} = \boldsymbol{256}[/tex]
The number is a/an...
국
Answers
What answer is this I can’t find it
Answers
Solve this system of equations. -2x-4y=-12
Answers
Answer:
x = 6 and y = 3
Step-by-step explanation:
Your equation: -2x-4y=-12
__________________________________________________
First, we'll solve for x.
You need to divide -2x on both sides.
**We'll exclude/forget the -4y since we're not dealing with it right now.
-2x = -12
x = 6
When dividing with negatives, if both of the numbers are negatives they shall cancel and become positive.
-12 divided by -2 is 6 positive.
Therefore, x = 6
_______________________________________________________
Next, we'll solve for y
The same thing as last, we'll exclude our -2x since we're not dealing with it anymore.
-4y = -12
-12 divided by -4 is a positive answer since the two negatives cancel out.
-12/ -4 = 3
Therefore, y = 3
________________________________________________________
The proper vocabulary of the "x" and the "y" are x-intercept and y-intercept.
We just solved for both.
what is the slope of the line pls help
Answers
Answer:
1/2
Step-by-step explanation:
The slope is the rise over the run, also known as the change in y value over the change in x value
m = 2/4 =1/2
We know it is positive since it goes up from the left to the right
1) At a store, 40% of all the refrigerators are silver. There are 50 silver
refrigerators at the store. How many refrigerators are at the store?
Answers
Explanation:
Set up an equation:
x(.40)= 50
, where x is the number of refrigerators
Solve for x
In total there are 125 refrigerators at the store.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, at a store, 40% of all the refrigerators are silver.
There are 50 silver refrigerators at the store.
Let the total number of refrigerators at the store be x.
Here, 40% of x=50
40/100 ×x=50
0.4x=50
x=50/0.4
x=125
Therefore, in total there are 125 refrigerators at the store.
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