Answer:
X= -12
Step-by-step explanation:
-2x-4=20
-2x-4+4=20+4
-2x=24
x=-12
a predefined formula that performs calculations by using specific values in a particular order or structure called?
A predetermined formula known as "Functions" that performs computations using specified values inside a particular arrangement or structure.
Explain the term Functions?A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.
This means that a function f will map an object x to exactly single object f(x) in the set of potential outputs if the object x is included in the set of inputs (referred to as the domain) (called the codomain).Many popular functions are designated by multi-letter names, even though functions are frequently identified by one-letter names for brevity, as f.Thus, a predetermined formula known as "Functions" that performs computations using specified values inside a particular arrangement or structure.
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how many bricks each 22 cm long and 15 CM broad will be required to pave a court 30 metre long and 22 wide
Answer:
BBBBBBBBBBBBBBBBBBBB
Step-by-step explanation:
CAUSE I SAID SO
Answer:
20,000 bricks
Step-by-step explanation:
length of brick(L)=22cm
breadth of brick(B)=15cm
now,
area of brick(A)=L×B
=22×15s.q.cm
=0.033s.q.m
again,
length of court(l)=30m
breadth of court(b)=22m
now,
area of court(a)=l×b
=30×22s.q.m
=660s.q.m
lastly,
no.of required brick=area of court/area of
brick
=600 s.q.m/0.033s.q.m
=20,000bricks
complete the square to rewrite the following equation in standard form
By completing the square, the equation in standard form is (x - 2)² + (y + 4)² = 4².
What is the equation of a circle?In Mathematics and Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;
(x - h)² + (y - k)² = r²
Where:
h and k represent the coordinates at the center of a circle.r represent the radius of a circle.From the information provided below, we have the following equation of a circle:
x² - 4x + y² + 8y = -4
x² - 4x + (-4/2)² + y² + 8y + (8/2)² = -4 + (-4/2)² + (8/2)²
x² - 4x + 4 + y² + 8y + 16 = -4 + 4 + 16
(x - 2)² + (y + 4)² = 16
(x - 2)² + (y + 4)² = 4²
Therefore, the center (h, k) is (2, -4) and the radius is equal to 4 units.
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Complete Question:
Complete the square to rewrite the following equation in standard form. x² - 4x + y² + 8y = -4.
In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB.The graph represents which system of inequalities?
The graph represents this system of inequalities:
F. y ≤ −x + 4
G. y ≤ 3x − 1
What is the point-slope form?In Mathematics, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the points.Next, we would determine the linear equation representing the line of f(x) which passes through the points (0, 4) and (4, 0) by using the point-slope form as follows:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 0 = (4 - 0)/(0 - 4)(x - 4)
y - 0 = -1(x - 4)
y = -x + 4
Therefore, an inequality representing the line of f(x) is y ≤ -x + 4
For the line of g(x), we have:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - (-1) = (5 - (-1))/(2 - 0)(x - 0)
y + 1 = 3(x - 0)
y = 3x - 1
Therefore, an inequality which represents the line of g(x) is y ≤ 3x - 1.
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Complete Question:
In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB. Graph of two intersecting lines. The line f of x is solid and goes through the points 0, 4, and 4, 0 and is shaded below the line. The other line g of x is solid, and goes through the points 0, negative 1 and 2, 5 and is shaded below the line. The graph represents which system of inequalities?
y ≤ −3x − 1
y ≤ −x − 4
y > −3x + 1
y ≤ −x − 4
y < 3x − 1
y ≤ −x + 4
y ≤ 3x − 1
y ≥ −x + 4
find the formula for an exponential function that passes through the two points given. ( 0 , 4 ) and ( 3 , 256 )
The formula for the exponential function that passes through the two given points is: f(x) = 4^x
Step-by-step explanation:
An exponential function has the form f(x) = a^x, where a is a constant base.
We can use the two points given to find the value of a.
Using the first point (0, 4), we get:
f(0) = a^0 = 1a = 4
So, a = 4.
Now, we can write the exponential function as:
f(x) = 4^x
To check if this function passes through the second point (3, 256), we substitute x = 3:
f(3) = 4^3 = 64 * 4 = 256
So, the function passes through both points (0, 4) and (3, 256).
Therefore, the formula for the exponential function that passes through the two given points is:
f(x) = 4^x
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Tom has to take three medicines each day. One is to be taken
every 3 hours, one every 4 hours and one just four times a day.
He takes his first dose on Monday at 9am, what is the next time he
takes all three medicines together?
Please help
Answer:
9pm Monday
Step-by-step explanation:
It would take 12 hours, that would be when all of the medicines would be taken at the same time, because 3/4/6 are factors of 12
Answer:
Monday at 9pm
Step-by-step explanation:
The first drug is by every 9,12,3,and 6.The second drug is by every 9,1,and 5.While the third drug is by every 9 and 3.Therefore, 9 is common so the next time the drugs will be taken at the same time is by 9pm.
the average cost of a family home in 1997 was $156,100. by 2010, the average cost was $254,400. write an equation to represent the price (p) of a house as a function of the year, t. let t=0 correspond to 1997. how much would the average price of a home be today?
The equation that represent the average price of a house as a function of the year can be presented as follows;
p = (7561 7/3)·t + 156,100The average price of a house today is; $352,700What is an average of a value?The average of a value, such as the average price of a houses is the ratio between the sum of the prices of the houses to the number of houses.
The average cost of a family house in 1997 = $156,100
The average cost of the family house in 2010 = $254,400
The equation for the price (p) of a house as a function of the year, t where t = 0 corresponds to 1997, can be found as follows;
The slope of the equation is; (254,400 - 156,100)/(2010 - 1997) = 98300/13
98300/13 = 7561 7/13
The linear equation is therefore;
p - 156100 = (98300/13) × (t - 0)
p = (98300/13) × t + 156100
p = (7561 7/13) × t + 156100
The average price of a house today, 2023 can be found by plugging in the value, t = 2023 - 1997 = 26 in the above equation as follows;
p = (98300/13) × 26 + 156100 = 352,700
The price of a house today is $352,700
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4. By considering the collection of intervals {(-1): n € N} show that the intersection of an infinite number of open sets need not be open. 5. Prove:
Let {(-1) + 1/n: n € N} be the collection of all natural numbers less than 1, where n is a positive integer. Each of these intervals is an open set in R because it contains all real numbers between -1 + 1/n and -1 + 1/(n + 1), which is a strictly larger interval.
Therefore, the intersection of all these open sets, {(-1) + 1/n: n € N}, is also an open set because it contains all real numbers between -1 and 0. However, this intersection is not an open set in the usual sense because it does not contain any points between -1 and -1/2. Specifically, there are no real numbers between -1 and -1/2 that belong to this intersection.
This means that the intersection is not an open set because it does not contain any points that are "neighbors" of each other in the sense of being close to each other in the real number line. In other words, the intersection of an infinite number of open sets may not be open even if each of the individual open sets is open. This is because the intersection may not contain any points that are close to each other in the real number line, which is a necessary condition for a set to be open.
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Need help with math!!!!
Answer:
The difference is approxiametly 8
Step-by-step explanation:
Things need to know
Whole number = Number on the left side of the mixed fraction
Numerator = Number on top of fraction
Denominator = Number on bottom of fraction
How to convert mixed numbers into improper fractions = Multiply denominator by whole number and then add that to the numerator
How to turn improper factions into decimals = Divide numerator by denominator
Improper fraction = A fraction where the numerator is greater than the denominator
Mixed fraction = A whole number and a proper fraction mixed together
For the first mixed number:
\(9 \dfrac{ 52 }{ 69 }\)
9 = whole number
52 = numerator
69 = denominator
For the second mixed number:
\(1 \dfrac{ 29 }{ 50 }\)
1 = whole number
29 = numerator
50 = denominator
Given:
\(9 \dfrac{ 52 }{ 69 } -1 \dfrac{ 29 }{ 50 }\)
Convert mixed numbers into improper fractions
\(\dfrac{ 673 }{ 69 } - \dfrac{ 79 }{ 50 }\)
Turn improper factions into decimals
\(9.753623188405797-1.58\)
Round both numbers to the nearest whole number
\(10-2\)
Subtract 2 from 10
\(8\)
Answer: 8
unigram model 4 points possible (graded) consider the sequence: a b a b b c a b a a b c a c a unigram model considers just one character at a time and calculates for . what is the mle estimate of ? give your result to three decimal places.
The MLE estimates for the unigram model are as follows:
P(a) = 0.500, P(b) = 0.313, and P(c) = 0.188 (rounded to three decimal places).
To calculate the MLE estimate for the unigram model, we need to count the number of times each character appears in the sequence.
Let's find the Maximum Likelihood Estimation (MLE) estimate for the unigram model based on the given sequence. We'll break down the steps as follows:
1. Count the occurrences of each character in the sequence.
2. Calculate the total number of characters in the sequence.
3. Divide the count of each character by the total number of characters to find the MLE estimate for each character.
a appears 6 times, b appears 5 times, and c appears 2 times.
We can then divide each count by the total number of characters in the sequence to get the probability of each character:
P(a) = 6/15 = 0.4
P(b) = 5/15 = 0.333
P(c) = 2/15 = 0.133
So the MLE estimate for the unigram model is:
P(a) = 0.4
P(b) = 0.333
P(c) = 0.133
We round to three decimal places to get:
P(a) = 0.400
P(b) = 0.333
P(c) = 0.133
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PLS HELPP ASAP!!
Rotate the triangle clockwise about the origin 270 degrees
Answer:
A: (-7, 2)
B: (-4, 2)
C: (-3, 7)
Step-by-step explanation:
So a little tip! 270 degrees clockwise is the same as 90 degrees counter clockwise!! (and vice versa)
90 degrees counter-clockwise would switch all the coordinates from (x,y) to (-y,x)
i need help with this i’m really confused
Answer:
40) 105 miles (mi)
42) 3.2 centimeters (cm)
Step-by-step explanation:
First determine which part of the ratio corresponds to what. Once you have figured that out, divide by the part of the ratio that corresponds to your given part and then multiply that by the other part of the ratio to derive the quantity.
If a:b
Then a × a/b = b, and b × a/b = a.
You can think of : as "to".
For example, you are given a map with a scale ratio of 1 in : 20 mi, this means that for every inch of the map, there is an actual distance of 20 miles.
So in this situation, the left part of the ratio is the length of the map in inches, and the right part of the ratio is the real distance in miles. For x inches of the map, there is 20 x miles of actual distance. Therefore 3.5 inches has an actual distance of 3.5 × 20 miles or 105 miles of actual distance.
For problem 2, you are given a ratio of 1 m : 2 cm, this means that for every 1 meter of the drawing, there is 2 cm of the plant. Therefore if you have 1.6 meter of the map, then you have 1.6 × 2 cm of the plant or 3.2 cm. For both situations the left part of the ratio is 1 which means that you just multiply by the right part of the ratio by which you are given.
suppose that a softball team is composed of 13 employees of a furniture store of whom 2 work part-time. what proportion of the team work part-time? either give the exact fraction or decimal, or round to three decimal places.
The proportion of the team that work part time is 2/13 or 0.154
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the equation will be
Let the total number of workers in the furniture store be = 13 employees
Let the number of workers who are part time = 2 workers
So , proportion of the team that work part time = number of workers who are part time / total number of workers in the furniture store
On simplifying , we get
The proportion of the team that work part time = 2 / 13
The proportion of the team that work part time = 0.154
Hence , the proportion is 2/13 or 0.154
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What is the first four terms of the geometric sequence where a1=−8 and r=−2 ?
(explanations appreciated!)
Answer:
-8, 16, -32, 64
Step-by-step explanation:
a1 = -8
r = -2
a2 = -8(-2)=16
a3 = -8(-2)²=-8(4)=-32
a4=-8(-2)³=-8(-8)=64
In the diagram below,{GH} is parallel to {DE}
DF=5, and GH=2 find the length of {GF}
. Figures are not necessarily drawn to scale. State your answer in simplest radical form, if necessary.
The length of side GF from the similar triangles shown is GF = √10 units
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Two triangles are said to be similar if they have the same shape, all the angles are equal and the ratio of corresponding sides are in the same proportion.
In a similar triangle, DE = GF, Hence:
GF/DF = GH/DE
GF / 5 = 2 / GF
GF² = 10
GF = √10
The length of side GF from the similar triangles shown is GF = √10 units
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100 BRAINLY POINTS!!!
There is a positive linear correlation between the annual income and the age of a person before retirement. Which scatter plot BEST represents this situation?
PLEASE HELP HURRY CUH
EXPLAIN YOUR ANSWER
SHOW YOUR WORK
Answer:
A
Step-by-step explanation:
a set of points plotted on a horizontal and vertical axes
Simplify the following expression: $\sqrt{28 + \sqrt{1296}}$
Answer:
I assumed you meant to write √28 + √1,296. The answer is 2√7 + 36.
Step-by-step explanation:
\(\sqrt{4 * 7} + \sqrt{1296} \\\sqrt{2^2 * 7} + \sqrt{1296}\\2\sqrt{7} + \sqrt{1296}\\ 2\sqrt{7} + \sqrt{36^2}\\= 2\sqrt{7} + 36\)
QUICK!!
A group of students were surveyed about what they want to be when they grow up. The table provided shows the choices that the students made. Use the information in the table to answer the following questions. Round all answers to the nearest whole number.
Teacher Doctor Athlete
Boys 24 28 56
Girls 45 31 26
The marginal relative frequency of boys and girls who want to be a teacher is
%.
The joint relative frequency of girls who want to be an athlete is
%.
The conditional relative frequency of students that selected doctor, given that those students are boys is
%
The marginal relative frequency of boys and girls who want to be a teacher is 32.86%.
The joint relative frequency of girls who want to be an athlete is 12.38%.
The conditional relative frequency of students that selected doctor, given that those students are boys is 25.93%.
We'll use the terms marginal relative frequency, joint relative frequency, and conditional relative frequency to analyze the data in the table.
1. The marginal relative frequency of boys and girls who want to be a teacher is:
First, find the total number of students who want to be a teacher (boys + girls):
24 (boys) + 45 (girls) = 69 (total students)
Next, find the total number of students surveyed (sum of all entries in the table):
24 + 28 + 56 + 45 + 31 + 26 = 210
Now, calculate the marginal relative frequency of boys and girls who want to be a teacher (total students who want to be a teacher / total students surveyed):
69 / 210 ≈ 0.3286
Multiply by 100 to get the percentage:
0.3286 * 100 ≈ 32.86%
2. The joint relative frequency of girls who want to be an athlete is:
Find the number of girls who want to be an athlete: 26
Calculate the joint relative frequency (number of girls who want to be an athlete / total students surveyed):
26 / 210 ≈ 0.1238
Multiply by 100 to get the percentage:
0.1238 * 100 ≈ 12.38%
3. The conditional relative frequency of students that selected doctor, given that those students are boys:
Find the total number of boys surveyed (sum of boys row):
24 + 28 + 56 = 108
Calculate the conditional relative frequency (number of boys who want to be a doctor / total boys surveyed):
28 / 108 ≈ 0.2593
Multiply by 100 to get the percentage:
0.2593 * 100 ≈ 25.93%
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Town b is south 38 degree east from town y what is the bearing of town y from town b
The bearing is the angle measured clockwise from the north direction to a specified direction. To find the bearing of Town Y from Town B, we use the given information that Town B is located south 38 degrees east from Town Y. By subtracting this angle from 180 degrees, we find that the bearing is 142 degrees.
To determine the bearing, we need to find the angle between the north direction and the direction from Town B to Town Y.
Since Town B is located south of Town Y, the bearing will be a southern direction. The bearing angle can be calculated as 180 degrees minus the given angle, which is 38 degrees.
Therefore, the bearing of Town Y from Town B is 180 - 38 = 142 degrees.
In conclusion, the main answer is that the bearing of Town Y from Town B is 142 degrees.
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what is the length of ef
Answer:
6 units
Step-by-step explanation:
Count the squares between e and f
Answer:
6 units
Step-by-step explanation:
EF appears to be a straight horizontal line. Here are the coordinates for each point:
E (-4, 0)
F (2,0)
There is a change of 6 in x.
Therefore, EF is 6 units.
on a number line, 1.38 would be located. choose all answers that make a true statement
A. to the right of 1.29
B. to the left of 1.36
C. between 1 and 2
D.between 0 and 1
Awnser: C, A.
Reasoning: On a number line, the bigger number is to the right tthe lower number. for A. For C, it is between 1 and 2 because the number is 1.38.
Use the drawing tool(s) to form the correct answers on the provided number line.
Yeast, a key ingredient in bread, thrives within the temperature range of 90°F to 95°FWrite and graph an inequality that represents the temperatures where yeast will NOT thrive.
The inequality of the temperatures where yeast will NOT thrive is T < 90°F or T > 95°F
Writing an inequality of the temperatures where yeast will NOT thrive.from the question, we have the following parameters that can be used in our computation:
Yeast thrives between 90°F to 95°F
For the temperatures where yeast will not thrive, we have the temperatures to be out of the given range
Using the above as a guide, we have the following:
T < 90°F or T > 95°F.
Where
T = Temperature
Hence, the inequality is T < 90°F or T > 95°F.
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instantaneous velocity can be positive, negative, or zero.a. trueb. false
True. Instantaneous velocity is the rate of change of displacement at a specific instant in time and can be positive, negative, or zero.
Calculating instantaneous velocity involves dividing the displacement change by the time change. A car's instantaneous velocity, for instance, would be 5/3 metres per second if it travelled 5 metres in 3 seconds.The rate of change of displacement at a particular moment in time is known as the instantaneous velocity. It is the speed in an instant at a particular location, and it can be positive, negative, or zero. The change in displacement (delta x) is divided by the change in time to determine instantaneous velocity. A car's instantaneous velocity, for instance, would be 5/3 meters per second if it travelled 5 meters in 3 seconds.
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help me plz barin people
Answer:
3.87 ounces
Step-by-step explanation:
12.9×.3= 3.87
( when you multiply percentages, 30% turns into
.3)
a jewelry box with a square base is to be built with silver plated sides, nickel plated bottom and top, and a volume of 40 cm3. if nickel plating costs $ 1 per cm2 and silver plating costs $ 12 per cm2, find the dimensions of the box to minimize the cost of the materials.
The dimensions of the box to minimize the cost of materials are 3.16 cm x 3.16 cm x 3.16 cm.
To minimize the cost of materials for the jewelry box with a square base, you will need to find the dimensions of the box. The volume of the box is 40 cm3. The sides of the box will be silver plated and cost $12 per cm2, while the top and bottom will be nickel plated and cost $1 per cm2.
Since the box has a square base, each of the sides has the same area and the total area of the box is four times the area of one side. To minimize cost, the sides of the box need to be as small as possible. The equation for the area of a square is A = l2.
We can use this equation to find the length of one side of the box. 40 cm3 = l2 x 4, so l2 = 10 cm2. The length of one side of the box is the square root of 10, which is approximately 3.16 cm.
Therefore, the dimensions of the box to minimize the cost of materials are 3.16 cm x 3.16 cm x 3.16 cm.
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What are the solutions of -x2 + 4x = x - 4?
O-5 and 0
0-5 and -1
0-1 and 4
O and 4
Answer:
-1 and 4
Step-by-step explanation:
first you bring the terms on the right side to the left and you get:
-x^2 + 3x + 4 = 0
then you divide both sides of the quadratic by -1:
x^2 - 3x - 4 = 0
then you factor the equation:
(x + 1)(x - 4) = 0
for any product to be zero, one of the factors must be zero. hence, either x + 1 or x - 4 can be zero. so x can be -1 and//or 4.
have a great day <3
Use the commutative or associative property to simplify the expression. -(1)/(9)(13x)
Answer:
The given expression is:
-(1)/(9)(13x)
We can use the commutative property of multiplication to rearrange the order of the factors:
-(1)/(13x)(9)
Now, we can use the associative property of multiplication to group the factors in any way we want:
-(1/13)(1/x)(1/9)
This is the simplified expression using the commutative and associative properties of multiplication.
is the following negation
Answer:
wuuuut do u meann
Step-by-step explanation:
when joe plays a board game with his four sisters, any one of the five players is equally likely to win. they decide to play game repeatedly until joe wins a game. what is the probabilty that they play at least three games?
The probability that they play at least three games is 16/25. This means that on average, they will need to play 25/16 = 1.56 games until Joe wins.
To solve this problem, we need to consider the different scenarios that could occur when playing the game repeatedly until Joe wins a game. Let's start by calculating the probability that Joe wins in one game.
Since any one of the five players is equally likely to win, the probability that Joe wins in one game is 1/5. Therefore, the probability that he does not win in one game is 4/5.
Now, let's consider the different scenarios that could occur in multiple games until Joe wins. If Joe wins in the first game, then they only play one game, and the probability that they play at least three games is zero. If Joe does not win in the first game, they need to play at least one more game.
If Joe wins in the second game, then they have played two games, and the probability that they play at least three games is zero. However, if Joe does not win in the second game, they need to play at least one more game.
If Joe wins in the third game, then they have played three games, and the probability that they play at least three games is one. If Joe does not win in the third game, they need to play at least one more game.
We can see a pattern emerging here. The probability that they play at least three games is only non-zero if Joe does not win in the first two games. In this case, they must continue playing until Joe wins a game, and this will take at least three games.
The probability that Joe does not win in the first two games is (4/5) x (4/5) = 16/25. Therefore, the probability that they play at least three games is 16/25.
However, it's important to note that this is just an average, and they could play more or fewer games depending on the outcomes of each individual game.
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B. Write an exponential equation for the world population growth after 2010. Let P = the projected population in billions and t = the number of years after 2010. Hint: Think about how you calculated the entries in the table. If you started with 6.9 billion each time, how could you calculate each population? Think back to your work in the lesson._________C. Use your model to predict the population in 2020._______ Billions
a)
The population in 2011 is that of 2010 plus 1.1% (=0.011) of the population in 2010; therefore
\(P_{2011}=P_{2010}+0.011P_{2010}=(1.011)P_{2010}\approx6.98billion\)The answer to the first gap is 6.98.Similarly, in the case of 2012,
\(\begin{gathered} P_{2012}=(1.011)P_{2011}=(1.011)^2P_{2010}\approx7.05billion \\ \end{gathered}\)The answers to the second row of gaps are 2 and 7.05 (2 years after 2010 and 7.05billion).Finally,
\(P_{2013}=(1.011)^3P_{2010}\approx7.13billion\)The answers to the third row of gaps are 3 and 7.13b)
Notice that the pattern below emerges from the table in part a)
\(P_{2010+n}=(1.011)^nP_{2010}\)Thus, the exponential equation that models the population is
\(\Rightarrow P(t)=6.9*(1.011)^t=6.9(1.011)^t\)The answer to part b) is 6.9(1.011)^tc) 2020 occurs 10 years after 2010; therefore, setting t=10 in the equation found in part b)
\(P(10)=6.9(1.011)^{10}\approx7.70\)The rounded answer is 7.70