The length of support 1 is 0.63m
A Right Triangle: What Is It?According to the definition of the right angled triangle, a triangle is referred to as a right-angled triangle or simply a right triangle if one of the angles is a right angle .The side of a right triangle is the hypotenuse, which is the longest side and sits in opposition to the triangle's right angle, base and altitude.
given length of support1 are
a= 1.1 m
b= .9 m
Using pythagoreas theorem,
Length of support1= √a²-b²
=√(1.1)²-(0.9)²
=√1.21-.81
=0.63
Hence, The length of support 1 in the figure is 0.63m.
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3. There are 15 students in class 7 who need the school shirt of same size and 2 meter of
cloth is required to make a shirt.
(a) Find the total length of the cloth required to make the shirt to them.
(b) How many shirts can be made from a piece of cloth 9 meter long?
Convert the length of cloth required for a shirt in decimal.
1
If the length of a piece of cloth is 36.25 meter, how many meters of cloth is left? 1
Answer:
Step-by-step explanation:
(a) Since each student needs a shirt of the same size, and 2 meters of cloth is required to make one shirt, the total length of cloth required to make shirts for 15 students would be:
Total length of cloth = 15 x 2 = 30 meters
Therefore, 30 meters of cloth would be required to make shirts for 15 students.
(b) If 2 meters of cloth are required to make one shirt, then the number of shirts that can be made from 9 meters of cloth would be:
Number of shirts = 9 / 2 = 4.5 shirts
However, since we cannot make half a shirt, the actual number of shirts that can be made from 9 meters of cloth would be 4 shirts.
To convert the length of cloth required for a shirt into decimal form, we can simply divide the length in centimeters by 100. Therefore, 2 meters of cloth would be equivalent to 200 centimeters, which is 2.00 meters in decimal form.
(c) If the length of a piece of cloth is 36.25 meters, and we use 30 meters to make shirts for 15 students, then the remaining length of cloth would be:
Remaining length of cloth = 36.25 - 30 = 6.25 meters
Therefore, 6.25 meters of cloth would be left.
Determine an expression for the missing side
length. Be sure to show your work!
The expression for the missing side length, c, is c = √(a² + b²).
To determine an expression for the missing side length, follow these steps:
Identify the given side lengths in the problem. You didn't provide the specific side lengths or the type of shape
(triangle, rectangle, etc.), but I will assume it's a right triangle with given side lengths a and b, and the missing side
length is c (the hypotenuse).
Apply the Pythagorean theorem for a right triangle, which states that the sum of the squares of the two shorter sides (a
and b) is equal to the square of the hypotenuse (c):
a² + b² = c².
Solve for the missing side length (c) by taking the square root of both sides of the equation:
c = √(a² + b²).
So, the expression for the missing side length, c, is c = √(a² + b²).
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Estimate!
16 3/4 divided by 2 1/2
Answer:7
Step-by-step explanation:
6.7 to the 10 is 7
A box of granola bars measures 22 centimeters long by 5 centimeters wide by 15 centimeters high. A box of fruit bars measures 24 centimeters long by 3 centimeters wide by 26 centimeters high. Which box has the greater volume? How much greater?
Question content area bottom
Part 1
Select the correct choice below and fill in the answer box to complete your choice.
(Type a whole number.)
A.
The box of granola bars has a greater volume. It is
210 cubic centimeters greater than the fruit bars box.
B.
The box of fruit bars has a greater volume. It is
enter your response here cubic
Answer: The box of fruit bars. It is 76 cm greater.
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME ASAP
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Step-by-step explanation:
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Each year, the school has a goal to have a third as many students in remedial mathematics courses as the year before. Currently the school has 1,200 students in remedial math. Approximately how many students will be enrolled in four years?
(a) 44 (b)15 (c) 32,400 (d) 1
Answer:
44 students
Step-by-step explanation:
1200 for the first year
a third of that is 400
400 for the second year
a third of that is 133.4
133.4 for the third year
a third of that is 44
At Spirit Night slices of pizza cost $2 and pretzels cost $1. The school store sold 150 items and made a total of $250. Write a systems of
equations to represent the situation where x represents the number of slices of pizza sold and y represnts the number o pretzels
Answer:
[tex]x + y = 150[/tex]
[tex]2x + y = 250[/tex]
75909931 rounded to the nearest hundred thousand
Answer:
the answer is supposably 75900000
I need help on this
Answer:
first name is pentagon
second is decagon
third is heptagon
Step-by-step explanation:
first is irregular
second is regular
third is irregular
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
The correct option is 1 and 4 of the given inequality –3(2x – 5) < 5(2 – x)
The correct representations of the inequality –3(2x – 5) < 5(2 – x) are:
-6x + 15 < 10 – 5x
x < 5
Therefore, options 1 and 4 are correct. The other options do not correctly represent the inequality.
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Someone please help me answer this question
The two statements that are both true are as follows: line
AC is perpendicular to line HB and line AC is parallel to FG. That is option A.
What is a perpendicular line?A perpendicular line is defined as the line that forms angle 90° where it meets with another line in a plane.
A line is said to be parallel to each other when they do not intercept as they are both on the same plane.
From the given diagram, line AC is perpendicular to line HB because they form angle 90° at the point of intersection.
Also, line AC is parallel to FG, because they can never intersect till infinity.
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What is the area of the real object that the scale drawing models? Scale factor. 1:5 Area = 10 square cm Scale drawing Real object
Answer:
D. 50 square centimeters
The sum of the numerator and the denominator of a certain fraction is equal to 4140. When the fraction was reduced, the result was 7/13
What was the original fraction?
Answer:
Step-by-step explanation
The answer would be 1449/2691 because of you simply then it would be 7/13
Can someone help me please
$4000 are invested in a bank account at an interest rate of 10 percent per year.
Find the amount in the bank after 7 years if interest is compounded annually.
--------------
Find the amount in the bank after 7 years if interest is compounded quarterly.
---------------
Find the amount in the bank after 7 years if interest is compounded monthly.
---------------
Finally, find the amount in the bank after 7 years if interest is compounded continuously.
---------------
Answer:
To find the amount in the bank after 7 years, we can use the formula:
A = P(1 + r/n)^(nt)
where:
A = the amount in the bank after 7 years
P = the principal amount (initial investment)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the number of years
For the given problem:
P = $4000
r = 10% = 0.1
t = 7 years
a) Compounded Annually:
n = 1
A = 4000(1 + 0.1/1)^(1*7) = $7449.36
b) Compounded Quarterly:
n = 4
A = 4000(1 + 0.1/4)^(4*7) = $7650.13
c) Compounded Monthly:
n = 12
A = 4000(1 + 0.1/12)^(12*7) = $7727.27
d) Compounded Continuously:
n → ∞ (as n approaches infinity)
A = Pe^(rt) = 4000e^(0.1*7) = $8193.85
Therefore, the amount in the bank after 7 years increases as the compounding frequency increases. If interest is compounded continuously, the amount in the bank will be the highest.
T
A
D
√
5
B
C
Ĉ
X
Figure ABCD is a square. The side lengths are all 1.
Estimate the length of the diagonal.
Submit
Therefore, the estimated length of the diagonal is approximately 1.414 units.
What is square root?The square root of a number is a value that, when multiplied by itself, gives the original number. In other words, the square root of a number "x" is a value "y" such that y multiplied by y equals x. The symbol for square root is √.
For example, the square root of 25 is 5, because 5 multiplied by 5 equals 25. Similarly, the square root of 64 is 8, because 8 multiplied by 8 equals 64. The square root of a negative number is not a real number, as there is no real number that, when squared, equals a negative number.
Using the Pythagorean theorem, we can find the length of the diagonal of the square.
If we draw a diagonal from one corner of the square to the opposite corner, we create a right triangle. The two legs of the right triangle are the sides of the square, which have a length of 1. The hypotenuse, which is the diagonal of the square, is the side we are trying to find.
Using the Pythagorean theorem, we can write:
[tex]d^2 = 1^2 + 1^2[/tex]
where d is the length of the diagonal.
Simplifying, we get:
[tex]d^2 = 2[/tex]
Taking the square root of both sides, we get:
d ≈ 1.414
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Reflect on why you think guitar tabs are easier or harder to read than regular musical notation.
This will have to be in paragraph form. :)
Guitar tabs are generally considered easier to read than regular musical notation because they are written in a language that most guitarists are familiar with.
What is Guitar?Guitar is a stringed musical instrument played with the fingers or a pick. It is one of the most popular instruments in the world and is widely used in genres such as rock, jazz, blues, country, folk, and classical.
Unlike traditional notation, guitar tabs do not require any knowledge of music theory to understand. Instead, they are laid out in a straightforward format that conveys the pitch of a note and the timing of when it should be played. This makes it easier for most guitarists to quickly learn a new piece of music without having to spend time studying the complexities of traditional notation. Additionally, guitar tabs also offer an easy way to determine the fingering of certain chords or techniques.
While guitar tabs are easier to read than traditional notation, they do have some drawbacks. For one, guitar tabs cannot convey the same level of detail about a piece of music as traditional notation can. Additionally, it can be difficult for some to distinguish between rhythm and lead parts when reading guitar tabs. Finally, guitar tabs do not easily convey the dynamics or expression of a piece of music, which are important to consider when playing music.
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why does this series [tex]tan(2^{-n} )[/tex] converge?
*its a series from 2 to infinity, but there is no symbol for that.
The series [tex]\tan(2^{-n})[/tex] is convergent.
What is convergence of series?In mathematics, the cοnvergence οf a series refers tο the behaviοr οf the series' partial sums as mοre terms are added. A series cοnverges if its sequence οf partial sums apprοaches a finite limit, which is called the sum οf the series. If the sequence οf partial sums dοes nοt apprοach a finite limit, the series diverges.
The series [tex]\tan(2^{-n})[/tex] converges because of the following reasons:
As n increases, [tex]2^{-n}[/tex] becomes very small, which makes [tex]\tan(2^{-n})[/tex] close to its linear approximation. Therefore, we can use the linear approximation of [tex]\tan(2^{-n})[/tex] to estimate its value.
The linear approximation of [tex]\tan(2^{-n})[/tex] is [tex]2^{-n}[/tex], which means that [tex]\tan(2^{-n})[/tex] ≈ [tex]2^{-n}[/tex] when [tex]2^{-n}[/tex] is small.
Since the series [tex]2^{-n}[/tex] is convergent, by comparison test, the series [tex]\tan(2^{-n})[/tex] is also convergent.
Alternatively, we can also use the fact that the series tan(x) is convergent for x ∈ (0, π/2), and since [tex]2^{-n}[/tex] → 0 as n → ∞, we have [tex]\tan(2^{-n})[/tex] → tan(0) = 0, which implies that the series [tex]\tan(2^{-n})[/tex] is convergent.
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PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The notation Σ-2 (3η + 5) is incorrect for representing the arithmetic series 8 + 11+ ... + 29.
The correct notation for the arithmetic series 8 + 11 + ... + 29 should be:
Σ_{i=1}^{11} (6i + 2)
The series has 11 terms, and each term can be found by adding 3 to the previous term, starting with the first term 8. Therefore, the general form of the series is 6i + 2, where i represents the index of the term in the series.
In contrast, the notation Σ-2 (3η + 5) appears to have multiple errors. The use of a negative index (-2) is not valid, as the index should start from 1 or 0. Also, the use of the Greek letter eta (η) instead of i as the index variable is unconventional and likely to cause confusion. Finally, the expression inside the parentheses does not appear to correspond to the terms of the arithmetic series.
The correct notation for the arithmetic series 8 + 11 + ... + 29 should be:
Σ_{i=1}^{11} (6i + 2)
To explain the error in the given notation Σ-2 (3η + 5), we can break it down as follows:
The use of a negative index (-2) is incorrect. The index of summation should always be a non-negative integer.
The use of the Greek letter eta (η) instead of i as the index variable is unconventional and may cause confusion or errors.
The expression inside the parentheses, 3η + 5, does not represent the terms of the arithmetic series. In particular, it does not involve the index variable i or the common difference 3.
Therefore, the correct notation for the given arithmetic series is Σ_{i=1}^{11} (6i + 2).
Write an equation for the word problem below.
"The YMCA summer camp charges registration fee of $40 and then charges $100 per week of camp."
Y = [blank] x + [blank]
Y = MX + B
Answer:
The equation is in slope-intercept form, Y = MX + B, where M is the slope and B is the y-intercept. In this case, the slope is 100 and the y-intercept is 40.
I hope that helps!
Step-by-step explanation:
The equation for the word problem is Y = 100x + 40.
Where Y is the total cost of the summer camp, x is the number of weeks of camp, 100 is the cost per week of camp, and 40 is the registration fee.
Polly's sister-in-law is going to have a baby! For the baby shower, Polly decided to sew pillow to give as a gift. She is using a flower-printed rectangular piece of fabric that is 26 inches long and 22 inches wide.
Answer:
The answer is 96
Step-by-step explanation:
2*(26+22)
2*48
96
For the following exercises, start with the graph of f (x) = 4x. Then write a function that results from the given
transformation.
32. Shift f (x) 4 units upward
33. Shift f (x) 3 units downward
34. Shift f (x) 2 units left
35. Shift f (x) 5 units right
36. Refl ct f (x) about the x-axis
37. Refl ct f (x) about the y-axis
32. g(x) = 4x + 4
This transformation shifts the graph
of f(x) 4 units upward.
33. g(x) = 4x-3
This transformation shifts the graph
of f(x) 3 units downward.
34. g(x)=4(x+2)
This transformation shifts the graph
of f(x) 2 units left.
35. g(x) = 4(x-5)
This transformation shifts the graph
of f(x) 5 units right.
36. g(x) = -4x
This transformation reflects the graph
of f(x) about the x-axis.
37. g(x) = -4x
This transformation reflects the graph
of f(x) about the y-axis.
chatGPT
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms. 2 similar right triangles. Triangle 1 has side length 12, hypotenuse 15, and blank side. Triangle 2 has side length 4, hypotenuse 5, and blank side. a. StartFraction 4 Over 15 EndFraction = StartFraction 5 Over 12 EndFraction = StartFraction 4 Over 15 EndFraction b. StartFraction 4 Over 5 EndFraction = StartFraction 12 Over 15 EndFraction = StartFraction 4 Over 5 EndFraction c. StartFraction 4 Over 12 EndFraction = StartFraction 5 Over 15 EndFraction = StartFraction 1 Over 3 EndFraction d. StartFraction 5 Over 4 EndFraction = StartFraction 15 Over 12 EndFraction = StartFraction 5 Over 4 EndFraction
Answer:
Step-by-step explanation: To find the ratio of corresponding sides for the two similar triangles, we need to match up the corresponding sides of the triangles and write the ratios of their lengths.
For Triangle 1, we have:
Side length = 12
Hypotenuse = 15
We can use the Pythagorean theorem to find the length of the blank side:
(Blank side)^2 = (Hypotenuse)^2 - (Side length)^2
(Blank side)^2 = 15^2 - 12^2
(Blank side)^2 = 225 - 144
(Blank side)^2 = 81
Blank side = 9
So, for Triangle 1, we have the following ratios:
Side length : Hypotenuse = 12 : 15
Side length : Blank side = 12 : 9
Hypotenuse : Blank side = 15 : 9
For Triangle 2, we have:
Side length = 4
Hypotenuse = 5
We can use the Pythagorean theorem to find the length of the blank side:
(Blank side)^2 = (Hypotenuse)^2 - (Side length)^2
(Blank side)^2 = 5^2 - 4^2
(Blank side)^2 = 25 - 16
(Blank side)^2 = 9
Blank side = 3
So, for Triangle 2, we have the following ratios:
Side length : Hypotenuse = 4 : 5
Side length : Blank side = 4 : 3
Hypotenuse : Blank side = 5 : 3
Therefore, the ratio of corresponding sides for the two similar triangles is:
Side length : Side length = 12 : 4 = 3 : 1
Hypotenuse : Hypotenuse = 15 : 5 = 3 : 1
Blank side : Blank side = 9 : 3 = 3 : 1
Reducing each ratio to lowest terms, we get:
Side length : Side length = 3 : 1
Hypotenuse : Hypotenuse = 3 : 1
Blank side : Blank side = 3 : 1
So the correct answer is (b) StartFraction 4 Over 5 EndFraction = StartFraction 12 Over 15 EndFraction = StartFraction 4 Over 5 EndFraction.
PLS HURRY I AM GIVING BRAINLIEST!!!
the question is in the photo!!
Jordan spend 25 minutes writing each dayNoHow much time does Jordan spend writing each dayFrom the question, we have the following parameters that can be used in our computation:D + W = 75W + 25 = DSo, we haveW + W + 25 = 75EvaluateW = 25This means that Jordan spends 25 minutes on writing is it possible?Based on the answer in (a), the truth statement is No
SEE ATTACHED IMAGE
1) 12x^3+8x
2) 18a^2+2a
3) 25b^4+30b^3
1. Factor each term and mark the common factors.
2. Multiply the common factors to find the GCF.
3. Rewrite each term as the product of the GCF and other factors.
4. Rewrite the expression using the factors from the previous step.
5. Use the distributive property: ab ac + = a b( ) +c .
Step-by-step explanation:
remember the GCF (greatest common factor) ?
every number or term is the product of certain prime numbers (prime factors).
the product of factors that the discussed numbers or terms have in common is the GCF.
1)
12x³ + 8x
12x³ :
12 / 2 = 6
6 / 2 = 3
3 / 2 no
3 / 3 = 1 finished
12 = 2×2×3
x³ = x×x×x
so,
12x³ = 2×2×3×x×x×x
8x :
8 / 2 = 4
4 / 2 = 2
2 / 2 = 1 finished
8 = 2×2×2
x = x
so,
8x = 2×2×2×x
what factors do they have in common ?
2×2×x = 4x
so, the GCF = 4x
that means
12x³ + 8x = 4x×3x² + 4x×2 = 4x(3x² + 2)
2)
18a² + 2a
18a² :
18 / 2 = 9
9 / 2 no
9 / 3 = 3
3 / 3 = 1 finished
18a² = 2×3×3×a×a
2a :
2 / 2 = 1 finished
2a = 2×a
so, they have 2×a = 2a in common.
the GCF = 2a.
that means
18a² + 2a = 2a×9a + 2a×1 = 2a(9a + 1)
3)
25b⁴ + 30b³
25b⁴ :
25 / 2 no
25 / 3 no
25 / 5 = 5
5 / 5 = 1 finished
25b⁴ = 5×5×b×b×b×b
30b³ :
30 / 2 = 15
15 / 2 no
15 / 3 = 5
5 / 3 no
5 / 5 = 1 finished
30b³ = 2×3×5×b×b×b
so, they have 5×b×b×b = 5b³ in common.
the GCF = 5b³
that means
25b⁴ + 30b³ = 5b³×5b + 5b³×6 = 5b³(5b + 6)
I need a satisfying conditions question answered thank you sm
The linear function can be written as:
f(x) = -x/3 + 17/3
How to find the linear function?A general linear function can be written as:
f(x) = ax + b
Where a is the slope, and b is the y-intercept.
If we know two points on the line (x₁, y₁) and (x₂, y₂), then the slope of the linear function is:
a= (y₂ - y₁)/(x₂ - x₁)
Here we know the pairs:
f(-4) = 7
f(5) = 4
So we have the points (-4, 7) and (5, 4), then the slope is:
a = (4 - 7)/(5 + 4) = -3/9 = -1/3
Then we can write:
f(x) = -x/3 + b
now we can use one of the given points, like f(5) = 4, replacing that there we will get:
4 = -5/3 + b
4 + 5/3 = b
12/3 + 5/3 = b
17/3 = b
So the function is:
f(x) = -x/3 + 17/3
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please help, thank you!
Answer:
To find all values of x for which f(x) = 26, we can set up the equation:
8x + 15/x = 26
Multiplying both sides by x, we get:
8x^2 + 15 = 26x
Bringing all the terms to one side, we get:
8x^2 - 26x + 15 = 0
We can factor this quadratic equation using the factoring method or by using the quadratic formula. Here, we will use the factoring method:
8x^2 - 26x + 15 = 0
(4x - 3)(2x - 5) = 0
Setting each factor equal to zero and solving for x, we get:
4x - 3 = 0 OR 2x - 5 = 0
4x = 3 OR 2x = 5
x = 3/4 OR x = 5/2
Therefore, the values of x for which f(x) = 26 are x = 3/4 or x = 5/2.
What is 17 + 8 x (2.7 ÷ 6) - 3
using
P
E
M
D
A
S
Answer:
17.6
Step-by-step explanation:
2.7÷6= 0.45
0.45×8= 3.6
17+3.6 - 3=17.6
Show working out please need to understand
The prοbability that mοre than twο machines need cοrrecting is apprοximately 0.0826 οr 8.26%.
What is binοmial distributiοn?Binοmial distributiοn is a prοbability distributiοn that describes the number οf successes in a fixed number οf independent trials, where each trial can οnly have twο οutcοmes: success οr failure.
Accοrding tο questiοn:
Let X be the number οf machines that need cοrrecting adjustments during a day's prοductiοn run, and let p = 0.2 be the prοbability that any οne machine needs cοrrecting.
Then, X fοllοws a binοmial distributiοn with parameters n = 6 (the number οf machines) and p = 0.2 (the prοbability οf a machine needing cοrrecting).
The prοbability οf X is:
P(X > 2) = 1 - P(X <= 2)
Tο calculate P(X <= 2), we can sum the prοbabilities οf X taking οn the values 0, 1, and 2:
P(X <= 2) = P(X = 0) + P(X = 1) + P(X = 2)
P(X = 0) = (6 chοοse 0) * 0.2⁰ * 0.8⁶ = 0.2621
P(X = 1) = (6 chοοse 1) * 0.2¹ * 0.8⁵ = 0.3932
P(X = 2) = (6 chοοse 2) * 0.2²* 0.8⁴ = 0.2621
Therefοre,
P(X <= 2)
= 0.9174
And
P(X > 2)
= 1 - P(X <= 2)
= 1 - 0.9174
= 0.0826
Sο the prοbability that mοre than twο machines need cοrrecting is apprοximately 0.0826 οr 8.26%.
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The physical fitness score for a population of police officers at a local police station is 73, with an SD of 8 on a 100-point physical endurance scale. Suppose the police chief selects a sample of 64 local police officers from this population and records a mean physical fitness rating on this scale equal to 75. He conducts a single-sample z test to determine whether physical endurance increased for this group. Based on your outcome, what is the proper format for writing out the results for this problem?
The p-value, under the assumption that the null hypothesis is correct, is the likelihood of receiving a test statistic that is as extreme as the one that was observed.
what is null hypothesis ?A declaration or assumption that there is no significant difference or association between two or more variables or populations being studied is known as the null hypothesis in statistics. The default hypothesis that is evaluated against an alternative hypothesis is known as the null hypothesis and is frequently represented as "H0." Typically, the null hypothesis is formulated in light of prior research, theoretical predictions, or accepted wisdom. It posits that any observed differences or correlations between groups or variables are the result of chance or random variation and serves as the foundation for evaluating a hypothesis.
given
We can use a standard format that includes the following details to present the z test results:
This is a claim regarding the population parameter being tested, or the null hypothesis.
In this instance, the null hypothesis is that the population of police officers' mean physical fitness score is equal to 73.
This assertion defies the null hypothesis, according to the alternative. The alternative hypothesis in this situation is that the sample of police officers' mean physical fitness score is higher than 73.
The p-value, under the assumption that the null hypothesis is correct, is the likelihood of receiving a test statistic that is as extreme as the one that was observed.
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A town was founded with a population of 8,000. The population then doubled every decade. Write the function, p(n), that expresses the
town's population after n decades
p(n)= 8000 + 2 n
p(n) = 8000 +2( n - 1)
p(n)=8000-2
p(n) = 8000
The correct function that expresses the town's population after n decades is: p(n) = 8000 × 2ⁿ. So the initial population of the town is 8,000, which is consistent with the problem statement.
What is function?A function is a mathematical concept that describes the relationship between a set of inputs, called the domain, and a set of outputs, called the range.
A function assigns a unique output to each input, meaning that for a given input, there is only one possible output.
Starting with a population of 8,000, the population doubles every decade, which means it multiplies by 2.
After n decades, the population will have doubled n times, so we can express the population as 8,000 multiplied by 2 raised to the power of n:
p(n) = 8000 × 2ⁿ
This function gives us the population of the town after n decades, where n is a non-negative integer. If we substitute n=0 into the function, we get:
p(0) = 8000 × 2⁰ = 8000
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