Answers
Answer:
5.6 miles
Second answer option
Step-by-step explanation:
From the tables we see that 1 mile ≈ 1.61 km
Therefore 1 km ≈ 1/1.61 mile
9 km ≈ 9 x 1/1.61 ≈ 9/1.61 ≈ 5.592341 miles
Rounded to first decimal(tenth) that would be 5.6 miles
This is the second answer option
Related Questions
The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 1 and 2. There are two dots above 8. There are three dots above 6, 7, and 9.
Which of the following is the best measure of variability for the data, and what is its value?
The range is the best measure of variability, and it equals 8.
The range is the best measure of variability, and it equals 2.5.
The IQR is the best measure of variability, and it equals 8.
The IQR is the best measure of variability, and it equals 2.5.
Answers
The best measure of the center for this data is the median, and its value is 6.5.
We must take the data distribution into account in order to get the optimum centre measure for this data. With more data points above 6 and 7 than below, the line plot demonstrates that the data is not symmetrical.
Because it is unaffected by the extreme values in the dataset, the median is the best indicator of the centre in this situation.
The median, which in this example ranges between 6 and 7, is the dataset's middle value when it is ordered in order. Given that there are an equal number of data points, the median is determined by taking the average of the two middle values. This value is 6.5.
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Afrah wants to buy a coat from Japan. It costs ¥7 320.50. She will have to pay shipping of £25.30. She has found a company that will charge her £80 for the coat and shipping combined. The exchange rate is currently £2 : ¥292.82. Should Afrah use the company or buy the coat and pay for shipping herself? Give a mathematical explanation.
Answers
Answer:
She should buy the coat and pay for shipping
Step-by-step explanation:
Set up a proportion to express the the 80 pounds to yen.
[tex]\frac{2}{292.82}[/tex] = [tex]\frac{80}{x}[/tex]
2 x 40 = 80
292.82 x 40 = 11,712.80
230.50 + 25.30 = 255.8
255.80 < 11,712.80
Helping in the name of Jesus.
A machine makes 48 bolts every hour.
The machine makes bolts for 72 hours each day, on 5 days of the week.
The bolts are packed into boxes. Each box holds 30 bolts.
How many boxes are needed for all the bolts made each week?
Answers
Answer:
576 boxes needed for each week
Step-by-step explanation:
h= hours
b= bolts
d= days
1h= 48b
72h =3456b
72h x 5d= 360h
360h x 48b= 17, 280b
17, 280b / 30b= 576
If each box holds 30 bolts, we need 576 boxes each week to fit all 17, 280 bolts.
Which describes how to graph h(x) = -√x + 8 by transforming the parent function?
O Reflect the parent function over the y-axis, and translate it 3 units to the right.
O Reflect the parent function over the y-axis, and translate it 3 units to the left.
O Reflect the parent function over the x-axis, and translate it 8 units to the right.
O Reflect the parent function over the x-axis, and translate it 8 units to the left.
Answers
Answer:
The correct answer is: Reflect the parent function over the x-axis, and translate it 8 units up.
The parent function of h(x) is the square root function f(x) = √x. The transformation of h(x) includes a reflection over the x-axis, a vertical shift 8 units up, and a reflection over the y-axis. The order of these transformations matters, so we can simplify the process by reversing the order and applying the transformations one by one.
First, reflect the parent function over the y-axis:
g(x) = -f(x) = -√x
Next, shift the graph 8 units up:
h(x) = g(x) + 8 = -√x + 8
Therefore, the answer is: Reflect the parent function over the x-axis, and translate it 8 units up.
Step-by-step explanation: yes
goog8.24 instant versus fresh-brewed coffee. a matched pairs experiment compares the taste of instant with fresh-brewed coffee. each subject tastes two unmarked cups of coffee, one of each type, in random order, and states which they prefer. of the 50 subjects who participate in the study, 32 preferred the fresh- brewed coffee. a. test the claim that a majority of people preferred the taste of fresh-brewed coffee. report the large-sample z statistic and its p-value. b. draw a sketch of a standard normal curve and mark the location of your z statistic. shade the appropriate area that corresponds to the p-value. c. is your result significant at the 5% level? what is your practical conclusion?
Answers
The large-sample z statistic is 1.923. Based on this result, we reject the null hypothesis and conclude that there is evidence to suggest that a majority of people prefer the taste of fresh-brewed coffee over instant coffee.
To test the claim that a majority of people prefer fresh-brewed coffee, we need to set up the null and alternative hypotheses:
Null hypothesis: p ≤ 0.5 (i.e., the proportion of people who prefer fresh-brewed coffee is less than or equal to 0.5)
Alternative hypothesis: p > 0.5 (i.e., the proportion of people who prefer fresh-brewed coffee is greater than 0.5)
We will use a one-tailed test with a significance level of α = 0.05.
To calculate the large-sample z statistic, we first need to calculate the sample proportion of people who prefer fresh-brewed coffee
P = (60 - 21) / 60 = 0.65
where 60 is the total number of subjects and 21 is the number who prefer instant coffee.
Next, we need to calculate the standard error of the sample proportion:
SE = sqrt(P(1-P)/n) = sqrt(0.65(1-0.65)/60) = 0.078
where n is the sample size.
Finally, we can calculate the z statistic:
z = (P - p) / SE = (0.65 - 0.5) / 0.078 = 1.923
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The given question is incomplete, the complete question is:
A matched pairs experiment compares the taste of instant with fresh-brewed coffee. Each subject tastes two unmarked cups of coffee, one of each type, in random order and states which he or she prefers. Of the 60 subjects who participate in the study, 21 prefer the instant coffee. Let p be the probability that a randomly chosen subject prefers fresh-brewed coffee to instant coffee. (In practical terms, p is the proportion of the population who prefer fresh-brewed coffee.)
Test the claim that a majority of people prefer the taste of fresh-brewed coffee. Report the large-sample z statistic
What is the area of this triangle in the coordinate plane?
Responses
5 units²
6 units²
7 units²
12 units²
Answers
Answer: 6 units^2
Step-by-step explanation:
Formula for area of a triangle: (B)(H)(1/2)
Base: 4
Height: 3
Substitute the numbers:
(4)(3)(1/2)
12(1/2)
6
6 units squared
I NEED HELP ON THIS ASAP!!!
Answers
Answer: are there any other pictures or other ways to word it?
Jackson has 4 1/2 pounds of salt to fill in containers that hold 2/5 a pounds how many containers can Jackson fill?
Answers
Answer:
Step-by-step explanation:
To find the number of containers that Jackson can fill, we need to divide the total amount of salt he has by the amount of salt that each container can hold. We can convert the mixed number of 4 1/2 pounds to an improper fraction:
4 1/2 = 9/2
Next, we can express the amount of salt each container can hold in terms of improper fractions:
2/5 a pounds = 10/25 a pounds = 2/5 a pounds
Now we can set up the division:
(9/2) ÷ (2/5)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(9/2) × (5/2)
Simplifying the fractions, we get:
(9 × 5) / (2 × 2) = 45/4
Therefore, Jackson can fill 45/4 containers with the 4 1/2 pounds of salt. We can convert this improper fraction to a mixed number:
45/4 = 11 1/4
So Jackson can fill 11 1/4 containers with the salt he has. However, since we are dealing with a physical quantity, we need to round down to the nearest whole number of containers, which is 11. Therefore, Jackson can fill 11 containers with salt.
URGENT - Will also give brainliest to simple answer in terms of pi
A circle has radius 1 unit, find the length of the arc defined by each of these central angles
360 degrees
Answers
Answer:
2pi
Step-by-step explanation:
Since the central angle is 360°, the arc in question here is the whole entire circle. It is the circumference. The circumference of a circle is:
C = pi•d
The radius is 1 unit. So the diameter is 2 units.
C = pi•2
C = 2pi
360° is the whole circle, so the arc is the whole circle. It is the circumference, 2pi
Could someone help me with this question?
Answers
The depth of a tsunami with speed of 10 m/s is given as follows:
d = 100/9 m.
How to calculate the numeric value of a function or of an expression?To calculate the numeric value of a function or of an expression, we substitute each instance of any variable or unknown on the function by the value at which we want to find the numeric value of the function or of the expression presented in the context of a problem.
The speed function for this problem is defined as follows:
[tex]s = 3\sqrt{d}[/tex]
In which d is the depth.
We have that the speed is of 10 m/s, hence the depth is obtained as follows:
10 = 3sqrt(d)
sqrt(d) = 10/3
[sqrt(d)]² = (10/3)²
d = 100/9 m.
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The length of ribbons found at a seamstress are listed.
2, 5, 8, 10, 11, 12
What is the appropriate measure of variability for the data shown, and what is its value?
The mean is the best measure of variability and equals 8.
The median is the best measure of variability and equals 9.
The range is the best measure of variability and equals 10.
The IQR is the best measure of variability and equals 6.
Answers
The correct appropriate measure of variability for the data shown is,
⇒ The range is the best measure of variability and equals 10.
Given that;
The length of ribbons found at a seamstress are listed.
⇒ 2, 5, 8, 10, 11, 12
Hence, We get;\
The range is calculated by subtracting the smallest data point from the largest data point, which in this case is,
⇒ 12 - 2
⇒ 10.
Hence, The range is the best measure of variability for the given data, and its value is, 10.
While the mean and median are measures of central tendency that describe the average or typical value of the data, they do not provide information about the spread of the data.
The IQR (interquartile range) is also a measure of variability, but it is better used when dealing with skewed data.
Since the data in this case is not skewed, the range would be the most appropriate measure of variability.
Thus, The correct appropriate measure of variability for the data shown is,
⇒ The range is the best measure of variability and equals 10.
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6. Use the facts and graph below to write the equation for g(x).
FACTS
This graph shows g(x).
It looks like the graph of the parent function f(x) = x2. However:
It has been reflected (flipped) over the x-axis.
It has been shifted down 4 units.
It has been shifted left 1 unit.
Graph g of x depicts downward opening parabola on a coordinate plane. Vertex is at (negative 1, negative 4) with left slope in quadrant 3, and the right slope in quadrant 4 passing through (0, negative 5) on Y-axis.
Step 1: Start with the equation f(x) = x2. Write the equation for the graph of g(x) that has been reflected, or flipped, over the x-axis. (2 points)
Step 2: Use the equation you wrote in Step 1. Write the equation for the graph of g(x) that has also been shifted down 4 units. (2 points)
Step 3: Use the equation you wrote in Step 2. Write the equation for the graph of g(x) that has also been shifted left 1 unit. (2 points)
Answers
Using translation concepts, the equation of F(x) is -3(x + 1)² - 4.
WE know that the translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The effect of the transformations on G(x) = x² is given :
Reflection over the x-axis:
F(x) = -G(x) = -x².
Vertical stretch by a factor of 3 then we get;
F(x) = -3G(x) = -3x².
Then Shift down of 4 units:
F(x) = -3G(x) - 4 = -3x² - 4.
Shift left of 1 units:
F(x) = -3G(x + 1) - 4 = -3(x + 1)² - 4.
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Nadine ntwiga earns a basic salary of ksh 12400 per month. In addition, she gets a 2% commission on the first ksh 80000 worth of good and further 3%commission on goods worth over ksh80000. In a certain month, she earned a total of ksh 20000. Calculate the value of the goods sold that month
Answers
The value of the goods sold by Nadine Ntwiga [tex]ksh 200000[/tex].
What is the value of the goods sold?Let the letter x be the value of the goods sold that month above ksh 80000.
The value of the goods sold below ksh 80000 is represented by [tex]80000 - x[/tex].
The commission earned from the first ksh 80000 is:
= (2/100) * 80000
= 1600.
The commission earned from the goods sold above ksh 80000 is:
(3/100) * x.
So, the total commission earned is 1600 + (3/100) * x.
Given that total amount earned by Nadine is ksh 20000, we will write the equation:
12400 + 1600 + (3/100) * x = 20000
(3/100) * x = 6000
x= 6000 / 0.03
x = 200000.
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a plane intersects a double-napped cone only at the cone's vertex. which terms describe the degenerate conic section that is formed? select each correct answer.
Answers
When a plane intersects a double-napped cone only at the cone's vertex, the degenerate conic section that is formed is called a point.
In this case, the plane does not cut through the cone's surface, so it does not create any other conic sections such as an ellipse, parabola, or hyperbola. The intersection is simply the single point at the vertex of the cone. A double-napped cone is a 3-dimensional geometric shape that looks like two cones joined at their bases, pointing in opposite directions. When a plane intersects a double-napped cone, it can create various types of conic sections, such as circles, ellipses, parabolas, or hyperbolas, depending on the angle and position of the plane relative to the cone.
However, if the plane intersects the cone only at the vertex, which is the point where the two cones meet, then the resulting conic section is a degenerate one, specifically a point. This is because the plane cuts through both cones at their narrowest point, where they converge to a single point, and does not intersect any other part of the cones. Therefore, the intersection between the plane and the double-napped cone is just a single point, which is the degenerate conic section formed in this case.
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Complete question:
A plane intersects a double-napped cone only at the cone's vertex. Which terms describe the degenerate conic section that is formed?
Select each correct answer.
degenerate paraboladegenerate ellipselinedegenerate hyperbolapointpair of intersecting linesHELPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEE
when representing a frequency distribution with a bar graph which bars will be the tallest? A) a bar representing a frequency of 15 B) a bar representing a frequency of 5 C) a bar representing a frequency of 20 D) a bar representing a frequency of 10
Answers
Answer:
The bar that represents the tallest frequency will be the one with the highest value. Therefore, in this case, the tallest bar will be the one that represents a frequency of 20, as option C states.
The circumference of a wheel is 320.28 centimeters.
Please help.
a) Determine the radius of the wheel.
b) Determine the area of the wheel.
Answers
Answer:
a) The radius of the wheel is 51 cm.
b) The area of the wheel is 8167.14 cm².
Step-by-step explanation:
SOLUTION :
Here we have given that the circumference of a wheel is 320.28 centimeters. We have to find the :
a) Determine the radius of the wheel.b) Determine the area of the wheel.Finding the radius of circle by substituting all the given values in the formula :
[tex]\quad{\longrightarrow{\sf{C_{(Circle)} = 2 \pi r}}}[/tex]
C = circumference π = 3.14 r = radius[tex]\quad{\longrightarrow{\sf{320.28=2 \pi r}}}[/tex]
[tex]\quad{\longrightarrow{\sf{320.28=2 \times 3.14 \times r}}}[/tex]
[tex]\quad{\longrightarrow{\sf{320.28=6.28 \times r}}}[/tex]
[tex]\quad{\longrightarrow{\sf{r = \dfrac{320.28}{6.28}}}}[/tex]
[tex]\quad{\longrightarrow{\sf{r = \cancel{\dfrac{320.28}{6.28}}}}}[/tex]
[tex]\quad{\longrightarrow{\sf{\underline{\underline{\purple{r = 51 \: cm}}}}}}[/tex]
Hence, the radius of circle is 51 cm.
[tex]\begin{gathered} \end{gathered}[/tex]
Now, calculating the area of circle by substituting all the given values in the formula
[tex]\quad{\longrightarrow{\sf{A_{(Circle)} = \pi {r}^{2}}}}[/tex]
A = areaπ = 3.14 r = radius[tex]\quad{\longrightarrow{\sf{A_{(Circle)} = 3.14 {(51)}^{2} }}}[/tex]
[tex]\quad{\longrightarrow{\sf{A_{(Circle)} = 3.14 {(51 \times 51)}}}}[/tex]
[tex]\quad{\longrightarrow{\sf{A_{(Circle)} = 3.14 {(2601)}}}}[/tex]
[tex]\quad{\longrightarrow{\sf{A_{(Circle)} = 3.14 \times 2601}}}[/tex]
[tex]\quad{\longrightarrow{\sf{\underline{\underline{\pink{A_{(Circle)} = 8167.14 \: {cm}^{2}}}}}}}[/tex]
Hence, the area of circle is 8167.14 cm².
————————————————What is the area of sector AOM?
Answers
Area of a sector AOM = ∅/360 × πr²
= 32/360 × π × 6²
= 16/5π or 10.05
The trapezoids shown are similar. What is the value of x? 40.5 ft X 54 ft 44 ft
please I need help my Staar test is on Monday and I do not know this, heelllppp
Answers
The value side of the trapezoid that is x = 33ft.
How to find the base of the trapezoid?The trapezoid is fascinating since it is defined by your geographical location. draw a trapezium for you while on an exchange trip to the United Kingdom, they will draw it as a trapezium. In some parts of the world, a trapezium is also known as a trapezium, and it is a form of quadrilateral having one pair of opposite sides that are parallel to each other.
To find the value x, take the side of the trapezoid into the proportion.
[tex]\frac{40.5}{x} = \frac{54}{44}[/tex]
Therefore x = [tex]\frac{40.5 * 44}{54}[/tex]
x = 33 ft.
Therefore the value of x is 33 ft.
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An iron rod has a diameter of 3.5cm and a height of 5.5cm. if the mass of the rod is 41.82kg, find the density in g/cm3
Answers
Answer:
Step-by-step explanation:
The volume of the iron rod can be calculated using the formula for the volume of a cylinder:
V = πr^2h
where r is the radius of the cylinder, which is half of the diameter. Therefore, the radius of the iron rod is 3.5/2 = 1.75 cm.
Substituting the given values, we get:
V = π(1.75)^2(5.5)
V = 68.728 cm^3
The density of the iron rod can be calculated using the formula:
density = mass / volume
Substituting the given values, we get:
density = 41.82 kg / 68.728 cm^3
We need to convert kg to g and cm^3 to cm^3, so we multiply by 1000/1 and 1/1, respectively:
density = (41.82 kg / 68.728 cm^3) x (1000 g / 1 kg) x (1 cm^3 / 1 cm^3)
density = 610.34 g/cm^3
Therefore, the density of the iron rod is 610.34 g/cm^3 (to two decimal places).
Pls answer both questions
Question 1 is in the picture
14) In the previous problem, a reasonable estimate would be to expect that the height of the building is (taller
or shorter) than the height of the tower?
Answers
Answer:
100 tower = 12 foot shadow
1foot shadow = 100÷12= 8.33 foot
Step-by-step explanation:
height of 25foot buiding shadow = 8.33×25= 208.33foot
The answer is 13 story building is higher than tower.
Find the slope of the line containing the points (
(
6
,
2
)
a
n
d
(
24
,
8
)
(6,2) and (24,8). Simplify your answer. slope =
Answers
The slope of the line containing the points (6,2) and (24,8) is equal to 1/3.
To find the slope of a line containing two points, we use the slope formula, which is:
slope = (y₂ - y₁) / (x₂ - x₁)
Where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.
Plugging in the values given in the problem, we get:
slope = (8 - 2) / (24 - 6)
slope = 6 / 18
To simplify the fraction, we can divide both the numerator and denominator by the greatest common factor (GCF) of 6 and 18, which is 6:
slope = (6 / 6) / (18 / 6)
slope = 1 / 3
The slope of a line represents the rate at which the line is changing in the vertical direction (y-axis) for every unit of change in the horizontal direction (x-axis). In this case, the slope of 1/3 means that for every increase of 1 unit in x, the line increases by 1/3 unit in y. Similarly, for every decrease of 1 unit in x, the line decreases by 1/3 unit in y.
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Surface are of prisms and spheres! Help!!!!!
Answers
Answer:
136
Step-by-step explanation:
triangle:
½ × base × height
(½ x 4 x 3) --> 12 x 2 (the other side) = 24
Rectangle 1:
base x height
(7 x 3) --> 21 x 2 = 42
Rectangle 2:
base x height
(5 x7) --> 35 x 2 = 70
24+42+70=
136
Solve for w: 7w≤ -42
Answers
Answer:
w≤−6
Step-by-step explanation:
Yur welcome :)
Answer:
w is less than or equal to -6.
Step-by-step explanation:
The surface area of a square pyramid is 85 square meters. The side length of the base is 5 meters. What is the slant height?
Answers
6 meters is the slant height of the square pyramid.
The formula for a square pyramid's surface area may be used to calculate the slant height:
Surface area = base area + (0.5 x perimeter x slant height)
In this instance, we are aware that the base's side length is 5 meters, and the surface area is 85 square meters.
The base area is equal to (side length)2, or the area of a square, hence the base area is:
The base area = 5², or 25 square meters.
In addition, we can calculate the base's perimeter by multiplying the side length by four:
Perimeter: (4 * 5) = 20 metres
We can now enter the variables we already know into the algorithm to find the slant height:
85 = 25 + (0.5 x 20 x slant height)
60 = 10 x slant height
slant height = 6 meters
Therefore, the slant height of the square pyramid is 6 meters.
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please help!!
A chef makes 9 pints of mushroom broth to use in vegan ramen. How many gallons of broth does the chef make?
Answers
Answer:
1.125 gallons of broth
Step-by-step explanation:
We Know
A chef makes 9 pints of mushroom broth to use in vegan ramen.
How many gallons of broth does the chef make?
Let's solve
1 pint = 0.125 gallon
9 pints = 0.125 x 9 = 1.125 gallons
So, the chef made 1.125 gallons of broth.
A right triangle has one angle that measures 77°. What is the measure of the other acute angle?
Answers
Answer:
Since the sum of angles in a triangle is 180 degrees, the third angle in the right triangle must be 90 degrees. Therefore, the other acute angle can be found by subtracting 77 degrees from 90 degrees:
90° - 77° = 13°
So the measure of the other acute angle is 13 degrees.
Step-by-step explanation:
gg
Angle ABC +angle ACB +angle BAC=180
90+77+angle BAC
Angle BAC =180-167
Answer=13
How to solve and find what A, B, and C is
Answers
(1) The value of f(g(x)) is 2x²-4x+2.
(2) The value of g(f(x)) is 2x²-1.
(3) The value of f(f(x)) is 8x².
What is a function?function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given the function,
f(x) = 2x²g(x) = x-1(a) To calculate the value of f(g(x)) we substitute the value of x as g(x) in f(x)
f(g(x)) = 2(x-1)² f(g(x)) = 2(x²-2x+1) f(g(x)) = 2x²-4x+2(b) To calculate the value of g(f(x)) we susbtitute the value of x as f(x) in g(x)
g(f(x)) = (2x²)-1g(f(x)) = 2x²-1(c) To calculate the value of f(f(x)) we substitute the value of x as f(x) into f(x)
f(f(x)) = 2(2x²)f(f(x)) = 2(4x²)f(f(x)) = 8x².Learn more about functions here: https://brainly.com/question/25638609
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kari is building a rectangular garden bed. the length is 6 feet. she has 20 feet of boards to make the sides. write and solve an inequality to find the possible width of her garden bed
Answers
The possible width of Kari's garden bed is less than or equal to 4 feet.
We have,
Let's assume the width of the garden bed to be x feet.
To create a rectangular garden bed with a length of 6 feet, we need two sides of length 6 feet and two sides of length x feet.
Since Kari has only 20 feet of boards to make the sides, we can write an inequality as:
2(6) + 2x ≤ 20
Simplifying this expression, we get:
12 + 2x ≤ 20
Subtracting 12 from both sides, we get:
2x ≤ 8
Dividing both sides by 2, we get:
x ≤ 4
Therefore,
The possible width of Kari's garden bed is less than or equal to 4 feet.
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Find the surface area of this prism.
A prism, all dimensions centimeters. The base of the prism is a 6 by 6 rectangle with a 3 by 3 square removed from the corner. The prism is 9 centimeters high.
What is the surface area???
Answers
The value of the surface area of this prism is, 324 cm²
Now,
The first step is to find the area of the top and bottom faces of the prism.
Since, The base of the prism is a 6 by 6 rectangle with a 3 by 3 square removed from the corner,
so the area of each of the two bases is:
(6 x 6) - (3 x 3) = 36 - 9 = 27 square centimeters.
The next step is to find the area of the four side faces of the prism. Since the prism is rectangular, the area of each of the four side faces is:
6 x 9 = 54 square centimeters.
Therefore, the total surface area of the prism is:
SA = 2 x (27 square centimeters) + 4 x (54 square centimeters)
= 108 + 216 = 324 square centimeters.
So, the surface area of the prism is 324 square centimeters.
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A colony of 129,800 bacteria doubles in size every 278 hours. What will the population be 1,112 hours from now?
Answers
For a colony of 129,800 bacteria ( intital population) doubles in size every 278 hours, the population be 1,112 hours from now is equals to the 2,076,799.99568.
We have time periods of change in population of a bacteria. The initial population of bacteria, A₀ = 129,800
Time after that the size of bacteria become doubled = every 278 hours
We have to population be 1,112 hours from now. Use the formula of exponential growth function, [tex]A = A_0 e^{rt}[/tex]
where A₀--> the initial population
A --> the final amountr -> the growth ratet --> timee -> number approximately equal to 2.718Here, [tex]A_0 = 129,800[/tex], First we calculate the rate value, r : [tex]2× 129800 = 129800 e^{r × 278} [/tex]
=>[tex] 2 = e^{r × 278} [/tex]
taking logarithm both sides
=>[tex] ln(2) = ln( e^{r × 278} )[/tex]
= > ln(2) = r × 278
=> [tex]r =\frac{ ln(2)}{278}[/tex]
=> r = 0.00249333518
So, r= 0.00249333518 hours ; t = 1,112 hrs.
Substitute all known values in above formula, [tex]A = 129,800 e^{0.00249333518 ×1,112 }[/tex]
A = 2,076,799.99568
Hence, required value is 2,076,799.99568.
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