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.
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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The radius of the circle with a central angle of 138° that intercepts an arc with length 9 miles is miles?
Step-by-step explanation:
\begin{gathered}x^2 + y^2 + 17 = 138\\x^2 + y^2 = 138 - 17\\x^2 + y^2 = 121\\x^2 + y^2 = 11^2\\Radius = 11\end{gathered}
x
2
+y
2
+17=138
x
2
+y
2
=138−17
x
2
+y
2
=121
x
2
+y
2
=11
2
Radius=11
∞You start at (10, 5). You move left 5 units. Where do you end?
We have the following point:-
[tex]\sf{(10,5)}[/tex]
where 10 is the x-coordinate & 5 is the y-coordinate.
If we move 5 units to the left, then we subtract 5 from the x-coordinate:-
[tex]\sf{(10-5,5)}[/tex]
Hence, the point is:-
[tex]\bigstar{\boxed{\pmb{5,5}}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
please help me Find m
Answer:
60 degrees
Step-by-step explanation:
any closed shape has a sum of 360 degrees, now if you subtract 150 from 360 it gives you 210 minus 90 degrees, it would equal to 120. Now 120 divided by 2 since we still need to find the other two corners we haven't found, that would equal to 60 degrees.
Help picture below problem 15
Answer:
x = 25°
Step-by-step explanation:
→ Remember key fact
Angles in triangle add up to 180°
→ Set up equation
34 + 121 + x = 180
→ Simplify
155 + x = 180
→ Minus 155 from both sides
x = 25°
how many faraday passes through a resistance in a circuit carrying a current of 1.68 A for 2 days (1F = 965000 (principal quantum number) is 3 A. FB. 2F C. 3F D. 4F
Answer:
b
Step-by-step explanation:
Salim receives a gift card for a bookstore. He does not know the value of the gift card.
Salim buys a book for $7.50. Then he has $12.50 remaining on the gift card.
• What is the unknown in this situation?
*) the price of the book
the amount of money remaining on the gift card
the amount of money on the gift card when Salim receives it
Answer:
1: The amount on the card, 2:$7.50, 3: $12.50, 4: $20
Step-by-step explanation:
a company puts 23 buttons in each of its containers. how many buttons are needed for 562 containers?
Answer:
12,926
Step-by-step explanation:
23 x 562 = 12,926
Samantha and Jeanie are each rolling a fair 6-sided die with the numbers 1 through 6. They are trying to see who can roll the most
number of odd numbers. Their rolls are shown in the given tables
Whose name experimental probability is closer to the theoretical probability of rolling an odd number
A.Samantha’s
B. Both Jeanie’s and Samantha’s experimental probability’s are very close to the theoretical probability
C. Jeanie’s
D. It can not be determined because there is not enough information
There are 3 odd numbers on the die so the theoretical probably of getting odd is 3/6 = 1/2
Samantha that rolled the die 4 times and got odd every time so her experimental probability was 4/4 = 1
Jeanie rolled the die 16 times and got 6 odds for an experimental probability of 6/16 = 3/8
3/8 is closer to 1/2
Answer: C. Jeanie’s
5:8:12 of 1,220,000
organize in least to greatest
1.
2.
3.
Answer:
244,000390,400585,600Step-by-step explanation:
The total number of parts is 5+8+12 = 25, so the fractions are ...
5/25 × 1,220,000 = 244,000
8/25 × 1,220,000 = 390,400
12/25 × 1,220,000 = 585,600
Least to greatest, the parts are ...
244,000390,400585,600Alan bought 120 pens at the cost of €2 per pen. He sold 72 of them for €2.50 per pen and the remaining at the price of €2 per pen. Find his percentage profit or loss.
Answer:
His profit was 15%
Step-by-step explanation:
120*2€ = 240€
72*2.5€ = 180€
120-72 = 48
48*2€ = 96€
And now a simple proportion:
240€ = 100%
276€ = x
x = (276*100)/240 %
x = 115%
115%-100% = 15%
His profit was 15%
A triangle has a perimeter of 16x + 4. If Side 1 is 3x + 2, Side 2 is 8x + 7, what is the measure of Side 3?
Answer:
5x - 5
Step-by-step explanation:
To find the missing side, add the two sides together and subtract them from the perimeter.
side 1 + side 2
3x + 2 + 8x + 7
combine like terms
11x + 9
Subtract from the perimeter
16x + 4 - (11x + 9)
rewrite as an addition problem, so you need to change the signs inside the parentheses.
16x + 4 + (-11x -9)
Now combine like terms
5x - 5
Use the drop downs to determine which symbols
would complete the inequality for the domain.
5
ch
-4__(a)___*_(b)__4
(a)
X
-5
5
(b)
The domain of the graph in the form of inequality will be -4 ≤ x < 4.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The domain means all the possible values of x and the range means all the possible values of y.
The domain of the graph will be [-4, 4). Then the domain of the graph in the form of inequality will be -4 ≤ x < 4.
More about the inequality link is given below.
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Dianne has $0.95 in dimes and nickels . She has a total of 11 coins . How many of each kind does she have ?
Answer:
8 dimes and 3 nickels
Step-by-step explanation:
If we change $0.95 to $0.9 + $0.05, we get 9 dimes and 1 nickel. However, that is only 10 coins. We can then try 8 dimes and 3 nickels. When you add them up, they equal $0.95. Also, there are 11 coins in total. Therefore, 8 dimes and 3 nickels is the answer.
I hope this helps and please mark me as brainliest!
what’s the answer????
Answer:
3.6 m/h
Step-by-step explanation:
Distance (d) = 9 Km
Time (t) = 2.5 hour
Speed ( s )
Speed = Distance / Time
s = d / t
s = 9 / 2.5
s = 90 / 25
s = 18 / 5
s = 3.6 Km/h
8
11 Juan is multiplying 68 x 73 using the area model method
One of the partial products is missing.
What number should juan write in the blank space in the model above?
A 420
B 42,000
C 4,200
D 130
Answer:
C 4,200
Step-by-step explanation:
THE FIRST ANSWER I PUT WAS INCORRECT 70 TIMES 60 = 4,200 because 70 has one 0 and 60 has one 0 use that as a strategy so there's two 0,s when you combine it and its at the end of 4,200 so sice 6 times 7 or 7 times 6 = 42 put the two 0,s at the end and add it to 42 then you get 4,200 or 4200 you don't have to put the comma but it helps let you know 4,000 is part of the thousands and lets you know to seperate it from the hundreds so it's better to add the comma if you want to if you don't want to then it's okay but you might get a answer wrong without a comma so the answer is C 4,200!!!!!!!!!!
27. To compare the effectiveness of two treatments, researchers conducted a well-designed experiment using a
randomized block design in which the subjects were blocked by age-group (under 40 years and 40 years or
older). Which of the following must be true about the randomized block design of the experiment?
(A) The number of subjects in each block is different.
88 Treatments are randomly assigned to subjects within each block.
(C) The design cannot have a control group because subjects are blocked by age-group.
fo) The experiment uses a matched-pairs design, where subjects from one block are paired with subjects from
the other block.
E) The subjects in one block receive one treatment, and the subjects in the other block receive the other
treatment
In a randomized block design, it is expected treatments are randomly assigned within each block.
What does a randomized block design imply?Subjects are divided into blocks based on a specific features such as age, gender, education, etc.Within each block subjects that receive treatment and does who do not are randomly assigned.The treatment in all blocks is the same. For example, if the purpose is to study the effect of medicine all treatment subjects should receive the same medicine and dose.What is the purpose of this design?The purpose is to minimize the effect of certain factors such as age.
Based on the above, it is expected in this experiment the treatment is randomly assigned to a specific number of subjects within each block.
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Find the solution set for the equation
|4x - 9| + 3 = 8
The solution set for the equation |4x - 9| + 3 = 8 are its true values
The solution set is x = 3.5 or x = 1
How to determine the solution set?The equation is given as:
|4x - 9| + 3 = 8
Subtract 3 from both sides
|4x - 9| = 5
Remove the absolute bracket
4x - 9 = 5 or 4x - 9 = -5
Add 9 to both sides
4x = 14 or 4x = 4
Divide both sides by 4
x = 3.5 or x = 1
Hence, the solution set is x = 3.5 or x = 1
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((BEING TIMED))
A car dealership increased the price of a certain car by 11%. The original price was $33,800.
(a) Fill in the blank to write the new price in terms of the original price.
Write your answer as a decimal. (New price = x Original price)
(b) Use your answer in part (a) to determine the new price.
Answer:
A 37,518
Step-by-step explanation:
this is because you take 11% of 33,800 which is 3,718 and add that back too your orignial value which gives you 37,518. I think that also answers part B for you.
A calendar use seven boxes of nails to build 10 bird houses he used blank of a box on each birdhouse
PLEASE HELP PLEASE PLEASE PLEASE HELP
Consider the sequence below:
5, 8, 13, 20, 29 …
What is the 10th term of the sequence?
Its counting by odd numbers
3, 5, 7, 9, 11, 13, 15, 17, 19, 21
5,8,13,20,29,40,53,68,85,104,125
Answer:
40,53,68,85,104,125,148, 173, 200, 229
The diagnoal of a tv is 26 inches long . assuming that this diagonal forms a pair of 30 -60 - 90 right triangles , what are the exact length and width of the tv?
Simplify the expression. Write the answer using scientific notation.
a) 2.52 × 10–3
b) 2.52 × 10–2
c) 2.52 × 10–1
d) 4.3 × 10–2
Answer:
b) 2.52 x 10^(-2)
Step-by-step explanation:
0.7 X 3.6 = 2.52
2.52 X 10^(-2)
The value of y varies directly with x, and y = 18 when x = 12. Find y when x = 60.
[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]
→ Here,
y varies directly as x means that y = kxhere value of (k) is not knownby substituting the values of x and y, y = 18 when x = 12
[tex]\rm{y = kx} \\ \\ \rm{18 = 12k} \\ \\ \rm{k = \cancel \frac{18}{12} } \\ \\ \rm{ k = 1.5}[/tex]
Now, substituting value of k nd x in y = kx
x = 132k = 1.5 in y = kx[tex] \rm{y = (1.5 \times 60 )} \\ \\ \rm{y = 90}[/tex]
[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
Describe the graph of the function. y = 9x2 + 18x – 6
The graph is a parabola with axis of symmetry at x = –1.
The graph is a parabola with axis of symmetry at x = 6.
The graph is a parabola with axis of symmetry at x = 1.
The graph is a parabola with axis of symmetry at x = 9.
Answer: y = 9x2 + 18x – 6
Step-by-step explanation:Describe the graph of the function. y = 9x2 + 18x – 6
The graph is a parabola with axis of symmetry at x = –1.
The graph is a parabola with axis of symmetry at x = 6.
The graph is a parabola with axis of symmetry at x = 1.
The graph is a parabola with axis of symmetry at x = 9.
Use the distributive property to remove the parentheses.
7w3(2w5+9w)
Simplify your answer as much as possible.
Ó
Х
Х
5
?
Answer:
14[tex]w^{8}[/tex] + 63[tex]w^{4}[/tex]
Step-by-step explanation:
7w³ (2[tex]w^{5}[/tex] + 9w) ← multiply each term in the parenthesis by 7w³
= 14[tex]w^{8}[/tex] + 63[tex]w^{4}[/tex]
[ using rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] ]
Answer:
7w⁴ (2w⁴ + 9)
Step-by-step explanation:
Given
7w³ (2w⁵ + 9w)Let's simplify.
Using the distributive property, 7w³ is distributed to 2w⁵ and 9w7w³ * 2w⁵ + 7w³ * 9w14w⁸ + 63w⁴The common factor of the two terms is : 7w⁴⇒ 7w⁴ (2w⁴ + 9)What are the vertices of A'B'C if ABC is dilated by a scale factor of 1/6?
The coordinates of the vertices A'B'C when ABC is dilated by a scale factor of 1/6 are 1/6(x,y)
How to determine the vertices?The rule of transformation is given as:
Dilation by a scale factor of 1/6
Mathematically, this is represented as:
(x,y) => 1/6(x,y)
This means that the coordinates of the vertices ABC are multiplied by 1/6 to get the coordinates of the vertices A'B'C
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1. If1=3
2=3
3=5
4=4
5=4
Then, 6=?
Answer:
Hence, 6 = 3 ans.
Step-by-step explanation:
hope it's help
100%
Đ
X
A doctor treated 24, 27, 31, 19, 26, 15, and 19 patients during the past 7 days.
Which is the median number of
patients treated by the doctor?
A 15
B. 19
C. 23
D. 24
E. 31
Answer:
C. 23
Step-by-step explanation:
Add then divide by 7
