Suppose that P and Q are points on the number line.
If PQ=10 and Q lies at 13, where could P be located?
If there is more than one location, separate them with commas.
Answers
we get that the point P can either lie at - 3 or at 23.
We are given the two points:
P and Q
We are also given the distance between the two points P and Q is:
PQ = 10 units.
Now we have that Q lies at 13.
We have to find the location of P.
We know that
Distance = P ± Q
10 = P ± 13
so, we get that
10 = P + 13 or 10 = P - 13
P = 10 - 13 or P = 13 + 10
P = -3 or P = 23
Therefore, we get that the point P can either lie at - 3 or at 23.
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Related Questions
Please don’t troll. I need help on this
Answers
Answer:
Sally is currently 4 years old.
Step-by-step explanation:
Kaden is 18 years older than Sally now. In 5 years, Kaden will be 3 times as old as Sally. How old is Sally now?
Let Kaden's current age be \(k\) and Sally's current age be \(s\). We can write the following algebraic equation using the fact that Kaden is currently 18 years older than Sally:
\(k=s+18\)
Next, we will use the fact that in 5 years, Kaden will be 3 times as old as Sally. If Kaden and Sally's current ages are \(k\) and \(s\) respectively, then their ages in 5 years will be \(k+5\) and \(s+5\) respectively. Therefore, we have:
\(k+5=3(s+5)\)
We have two equations with two variables. To solve for either variable, we need to create an equation with only one variable. Therefore, let's substitute the first equation into the second:
\((s+18)+5=3(s+5)\)
Distribute and combine like terms:
\(s+18+5=3s+15,\\s+23=3s+15\)
Subtract \(s\) from both sides, then subtract 15 from both sides:
\(8=2s\)
Divide both sides by 2:
\(s=\frac{8}{2}=\boxed{4}\)
Therefore, Sally is currently 4 years old.
Answer:
Sally is 4 years old now.
Step-by-step explanation:
Let Sally's age = x
Kaden's age = x + 18
In 5 years, they are both 5 years older than now.
Sally will be x + 5
Kaden will be x + 18 + 5 = x + 23
"In 5 years, Kaden will be 3 times as old as Sally."
x + 23 = 3(x + 5)
x + 23 = 3x + 15
-2x = -8
x = 4
Answer: Sally is 4 years old now.
For items 16-19, write a polynomial function of nth degree that has the given real or complex zeros?
Answers
For n = 3, x = 9, and x = 2i, we can say that one of the factors is (x - 9) as well as (x - 2i).
(x - 2i) is derived from x² = -4 which is equal to (x² + 4). Therefore, the two factors are (x - 9) and (x² + 4). To get the polynomial function, let's multiply the two factors using FOIL Method.
\(\begin{gathered} f(x)=(x-9(x^2+4_{}) \\ f(x)=(x)(x^2)+(x)(4)-(9)(x^2)-(9)(4) \\ f(x)=x^3+4x-9x^2-36 \\ \text{Arrange the terms} \\ f(x)=x^3-9x^2+4x-36 \end{gathered}\)The polynomial function of the first bullet is f(x) = x³ - 9x² + 4x - 36.
For n = 3, x = -1, and x = 4 + i, we can say that the factors are:
(x + 1) , (x - (4 + i)), and (x - (4 - i))
Note: Always remember those complex zeros like x = 4 + i come in conjugate pairs.
To solve the polynomial function, let's multiply the three factors.
\(\begin{gathered} f(x)=(x+1)(x-4-i)(x-4+i) \\ \text{Multiply first the two factors that has imaginary number i.} \\ f(x)=(x+1)(x^2-4x+ix-4x+16-4i-ix+4i-i^2) \\ \text{Arrange the terms} \\ f(x)=(x+1)(x^2-4x-4x+ix-ix-4i+4i+16+1) \\ \text{Combine like terms} \\ f(x)=(x+1)(x^2-8x+17) \\ \text{Multiply binomial to the trinomial} \\ f(x)=(x)(x^2)+(x)(-8x)+(x)(17)+x^2-8x+17 \\ f(x)=x^3-8x^2+17x+x^2-8x+17 \\ f(x)=x^3-7x^2+9x+17 \end{gathered}\)The polynomial function of the second bullet is f(x) = x³ - 7x² + 9x + 17.
Quanta Indutrie old $325,000 of conumer electronic during July under a nine-month warranty. The cot to repair defect under the warranty i etimated at 4. 5% o-
the ale price. On November 11, a cutomer wa given $220 cah under term of the warranty
Answers
The journal entry for the July 31 sales and November 11 cash payment is shown below .
In the question ,
it is given that ,
the amount for which Qantas Industries sold electronics during July under a nine-month warranty is = $325000 ,
cost to repair defects is = 4.5 percent of sales price .
So , the cost to repair is = 4.5% × 325000 = $14625 .
So , the journal entry for July 31 is
Warranty expense Debit 14625
Estimated warranty liability/warranty payable Credit 14625
and the journal entry for November 11 is :
Estimated warranty liability /warranty payable Debit 220 ,
Cash Credit 220 .
Therefore , the Journal entry is shown above .
The given question is incomplete , the complete question is
Qantas Industries sold $325,000 of consumer electronics during July under a nine-month warranty. The cost to repair defects under the warranty is estimated at 4.5% of the sales price. On November 11, a customer was given $220 cash under terms of the warranty. Provide the journal entry for the estimated warranty expense on July 31 for July sales. Provide the journal entry for the November 11 cash payment .
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suppose you have 50 students and need to assign them to two independent groups. describe a randomization procedure that would achieve this.
Answers
To assign the 50 students to two independent groups, a randomization procedure can be used. The procedure involves first listing all the students in a random order. It minimizes bias and ensures an equal chance of assignment to either group.
To assign 50 students to two independent groups using randomization, follow these steps:
1. Start with a list of all 50 students.
2. Assign a unique number to each student, such as from 1 to 50.
3. Use a random number generator to generate 25 distinct random numbers from 1 to 50. These random numbers will represent the students for the first independent group.
4. The remaining 25 students, represented by the numbers not selected in step 3, will form the second independent group.
5. Assign the students to their respective groups based on the random numbers.
This procedure ensures that the students are assigned to two independent groups through randomization, reducing potential biases and ensuring a fair distribution of students across the groups.
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_____ is a quantitative statistical analysis that compares and combines the results of individual but similar studies.
Answers
"Meta Analysis" is a quantitative statistical analysis that compares and combines the results of individual but similar studies.
What is meta analysis?A quantitative statistical analysis of numerous distinct but related experiments or research to assess the statistical significance of the pooled results.
Some characteristics of meta analysis are-
The statistical method for merging data from various studies is called meta-analysis. Meta-analysis can be used to pinpoint this common impact when the treatment effect (or effect size) is constant from one trial to the next. Meta-analysis can be performed to determine the cause of variance in the effect when it differs between studies.Regulatory agencies occasionally demand a meta-analysis as part of the approval process, which pharmaceutical companies employ to obtain clearance for new medications. Meta-analysis is used by clinicians and applied researchers in a variety of sectors, including medicine, education, psychology, criminal justice, and many more, to identify which therapies are most effective.To know more about Meta-analysis, here
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Find the unknown dimensions and volume of the composed figure. 8 cm 3 cm B A 12 cm 10 cm 28 cm Enter the correct numbers in the boxes. Hint The dimension of edge A is centimeters. The dimension of edge B is centimeters. The volume of the composed figure is cubic centimeters.
Answers
the dimension of edge A is
\(10-3=7\operatorname{cm}\)the dimension of edge B is
\(12\operatorname{cm}\)the volume of the composed figure is
\(\begin{gathered} V1=3\times8\times12=288 \\ V2=12\times28\times7=2352 \\ \text{Vfigure}=288+2352=2640\operatorname{cm}3 \end{gathered}\)Volume is 2640 cubic centimeters
What is the conditional probability that a randomly generated bit string of length four contains at least two consecutive 0s, given that the first bit is a 1?.
Answers
The conditional probability is 0.25.
To calculate the conditional probability, we need to find the probability that a randomly generated bit string of length four contains at least two consecutive 0s, given that the first bit is a 1.
Let's consider the possible bit strings of length four that start with 1:
1xxx (where x can be 0 or 1)
There are two possibilities for the first bit (1 or 0), and for each of these possibilities, there are two possibilities for each of the remaining three bits (0 or 1).
Now, let's find the bit strings that contain at least two consecutive 0s:
1xxx (where x is 0)
1000
1010
1100
1110
Out of the possible 1xxx bit strings, there are four that contain at least two consecutive 0s.
Now, the conditional probability is calculated as the probability of the event (bit string contains at least two consecutive 0s) given the condition (first bit is 1).
Conditional Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
Conditional Probability = 4 / (2 * 2 * 2 * 2) = 4 / 16 = 1/4 = 0.25
So, the conditional probability that a randomly generated bit string of length four contains at least two consecutive 0s, given that the first bit is a 1, is 0.25 or 25%.
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The probability that a house in an urban area will be burglarized is 15%. If 30 houses are randomly selected, what is the mean of the number of houses burglarized?
Answers
The mean of the number of houses burglarized in this sample is 4.5 based on probability.
The probability of a house in an urban area being burglarized is 15%. This means that out of every 100 houses, 15 will be burglarized.
If 30 houses are randomly selected, we can use the binomial distribution to find the mean number of houses burglarized. The formula for the mean of a binomial distribution is:
Mean = n * p
where n is the number of trials (in this case, 30) and p is the probability of success (in this case, 0.15).
Substituting these values, we get:
Mean = 30 * 0.15
Mean = 4.5
Therefore, the mean number of houses burglarized out of 30 randomly selected houses is 4.5. Note that this is an expected value and may not represent the actual number of houses burglarized in any particular sample of 30 houses.
To find the mean of the number of houses burglarized, we can use the formula:
Mean = (Probability of success) x (Number of trials)
In this case:
- Probability of success (a house being burglarized) is 15%, or 0.15 as a decimal.
- Number of trials (randomly selected houses) is 30.
Using the formula, we get:
Mean = (0.15) x (30) = 4.5
So, the mean of the number of houses burglarized in this sample is 4.5.
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I can someone answer this for me.
Answers
The solutions of the equation y? - 6x + 4 = 0 can be written as a+ Vb.
where a and b are prime numbers.
Solve x? - 6x + 4 = 0 to find the values of a and b.
Answers
Answer:
a = 3
b = 2
Step-by-step explanation:
(x - 3)² - 9 + 7 = 0
(x - 3)² - 2 = 0
x - 3 = ± √2
x = 3 ± √2
And they want the answer in the formula so a = 2 and b = 2
A one-sided significance test gives a p-value of. 4. From this we can:.
Answers
A one-sided significance test provides a p-value of 0.4, which helps us make decisions about the null hypothesis in a statistical analysis. The p-value represents the probability of obtaining results as extreme or more extreme than the observed data, assuming the null hypothesis is true. In most cases, a significance level (alpha) of 0.05 is used as a threshold for determining statistical significance.
When we compare the p-value of 0.4 to the significance level of 0.05, we notice that the p-value is greater than the alpha value. This indicates that we do not have sufficient evidence to reject the null hypothesis. In other words, the results of the study are not statistically significant, and we cannot conclude that there is a significant effect or relationship between the variables of interest.
It is important to remember that failing to reject the null hypothesis does not necessarily mean that there is no effect or relationship between the variables; it merely suggests that the evidence is not strong enough to make such a claim. Further research or larger sample sizes might be needed to explore the relationship between the variables more accurately.
In conclusion, a one-sided significance test with a p-value of 0.4 suggests that we cannot reject the null hypothesis, as the results are not statistically significant at the commonly used alpha level of 0.05.
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The spray from a sprinkler reaches 21 feet from the sprinkler and creates a circle as it spins. What is the circumference of the circle sprayed by the sprinkler? Use 22 7 for π.
Answers
Answer
D: 132 ft
C= π2r
So, take pi and multiply that by two..
π2= 6.28
Now, take your radius and multiply it by 6.28.
21 x 6.28= 131.88
Round it two the nearest whole number, which is 132!
Hope this helps!
The formula for circumference is C = 2 x pi x radius
c = 2 x 22/7 x 21
C = 132
The circumference is 132 feet
13.ABCD is an isosceles trapezoid with legs AB and CD. And with Base BC. If AB = 6z - 5 and BC = 7z +4 and CD = 4z +3.
a. Draw a sketch of the trapezoid and label the side lengths sketch:
b. Find z.
c. Find BC.
Answers
(a) We can draw a sketch of the trapezoid as shown in the image attached.
(b) z = 4
(c) BC = 32 units
How to draw a sketch of the trapezoid?
(a) Since ABCD is an isosceles trapezoid with legs AB and CD. And with Base BC. Thus, we can draw a sketch of the trapezoid as shown in the image attached.
(b) Since the legs of an isosceles trapezoid are equal in measure. Thus, we can say:
AB = CD
6z - 5 = 4z + 3
6z - 4z = 3 + 5
2z = 8
z = 8/2
z = 4
(c) BC = 7z +4
Put z = 4 in BC. That is:
BC = 7z +4
BC = 7(4) +4
BC = 32 units
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If the function f(x) = |x + 5| is transformed to g(x) = –|x + 5|, which type of transformation is seen in the graph?
Answers
Answer:
You would see the graph reflected over the x axis
Step-by-step explanation:
when there is a negative in front of the equation and not in the absolute value bars then it is a reflection over the x-axis...If there is a negative in front of the x in the absolute value bars then it is a reflection over the y-axis
I need help I don’t get it
Answers
Answer:
Step-by-step explanation:
Perimeter = 2(l + w)
Area = l x w
l = 6 - 3 = 3 (Difference in x cords from A to B)
w = 5 - (-1) = 6 (Difference in y cords from A to C)
Perimeter = 2(3 + 6) = 18 units
Area = 3 x 6 = 18 square units
Pls answer i need help asap lol, No links (30 points + brainly)
How long will it take each student plan to be paid down to $1000?
Answers
The corresponding answers for each student plan are:
plan A: 15 years
plan B: 5 years
plan C: 10 years
plan D: 9 years
Thus, first, the graph corresponding to each of the plans must be analyzed. The Y-axis corresponds to money and the x-axis corresponds to the time in years.
Thus, in-plane A, it can be observed that to reach the desired value, the graph will be projected in exponential, so it will be close to 15 years. In plan B, this projection will be reached around 5 years. In plans C and D, this projection will be 10 years and 9 years respectively.
Solve for X, the figure is a trapezoid. I will give brainiest!!
Answers
Answer:
6
Step-by-step explanation:
RS and QT are parallel because it is a trapezoid. This means that the transversal applies. Look at the picture attached to understand what I mean.
So, we know that 18x - 13 = 180(degree of a line)-85. Then, solve the equation.
18x-13=95
18x=108
x=6
Determine whether the statement below is true or false. Justify the answer.
The columns of an invertible nxn matrix form a basis for R^n
Choose the correct answer below.
A. The statement is true. There are n columns in an nx n matrix, cach of which is a vector in R^n. Any set of vectors R^n must form a basis for R^n.
B. The statement is true. The columns of an invertible n x n matrix are linearly independent and span R^n, so they form a basis for R^n
C. The statement is false. There are not enough columns in an nxn matrix to form a basis for R^n
D. The statement is false. The columns of an invertible nxn matrbare linearly independent, but they do not span R^n. This means they cannot form a basis for R^n
E. The statement is false. The columns of an invertible nxn matrix are not linearly independent. This means they cannot form a basis for any vector space, including R^n
Answers
B. The statement is true. The columns of an invertible n x n matrix are linearly independent and span R^n, so they form a basis for R^n.
An invertible n x n matrix has a full rank, which means its columns are linearly independent.
The linear independence of the columns ensures that they can form a basis for the column space of the matrix.
The column space of an invertible matrix spans the entire R^n, as each column represents a vector in R^n.
Therefore, the columns of an invertible n x n matrix form a basis for R^n.
A basis for a vector space is a set of vectors that are linearly independent and span the space. In this case, the columns of the invertible nxn matrix satisfy both of these conditions, making them a basis for R^n.
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Write in y= mx + b form: a line through (-3,1) having the same y-intercept as the graph of x-2y=-4
Answers
Step-by-step explanation:
Aight, so the same intercept
\( - 2y = - 4 - x = = = > \\ y = \frac{1}{2} x + 2\)
m=½
\(y = \frac{1}{2} x + b = = = > \\ now \: let \: us \: replace \: the \: point \\ 1 = \frac{1}{2} ( - 3) + b = = = > \\ \frac{5}{2} = b\)
soooo
\(y = \frac{1}{2} x + \frac{5}{2} \)
How long must a rectangular box be in order to hold 1.800 cubic centimeters if its width is 12 centimeters and its height is 6 centimeters?
Answers
Answer:
25 cm
Step-by-step explanation:
V = lwh
1800 = l(12)(6)
l = 1800 / (12×6)
l = 1800/72
l = 25
Which of the purchases would be the least expensive
ZOOM IN
Answers
Answer:
The answer is D according to my calculations check if its right
Step-by-step explanation:
A $1.50 5% tax=1.575
B $1.45 7% tax=1.5515
C $1.40 8% tax=1.5120
D $1.35 9% tax=1.4715
A company estimates that its sales will grow continuously at a rate given by the function s(t) = 11. Where S' (t) is the rate at which sales are increasing, in dollars per day, on dayt a) Find the accumulated sales for the first 6 days, b) Find the sales from the 2nd day through the 5th day. (This is the integral from 1 to 5. ) a) The accumulated sales for the first 6 days is $ (Round to the nearest cent as needed. ) b) The sales from the 2nd day through the 5th day is $ (Round to the nearest cent as needed. )
Answers
din textul 1.
In redactarea compunerii:
vei menţiona două trăsături ale personajului;
4 puncte
6 puncte
vei ilustra două modalități de caracterizare diferite, prin câte o secvență comentată;
vei corela o valoare transmisă prin acest personaj cu una importantă pentru tine, justificându-ți
2 puncte
răspunsul.
Punctajul pentru compunere se acordă astfel:
conținutul compunerii - 12 puncte
redactarea compunerii-8 puncte (marcarea corectă a paragrafelor-1 punct; coerenta textului-1 punct
proprietatea termenilor folosiți-1 punct; corectitudine gramaticalà - 1 punct; claritatea exprimării ideilor -
1 punct; respectarea normelor de ortografie - 1 punct; respectarea normelor de punctuație - 1 punct;
lizibilitate-1 punct).
Notă! Punctajul pentru redactare se acordă doar in cazul în care compunerea are minimum 150 de cuvinte
şi dezvoltă subiectul propus.
You invested 12,000 in an account at 2.3% compounded monthly. How long will it take you to get to 20000
Answers
It will take 22 years and 3 months to get the present value of $12,000 invested at 2.3% compounded monthly to get to $20,000 (future value).
How the period is determined:The period that it will take the present value to reach a certain future value can be determined using an online finance calculator with the following parameters for periodic compounding.
I/Y (Interest per year) = 2.3%
PV (Present Value) = $12,000
PMT (Periodic Payment) = $0
FV (Future Value) = $20,000
Results:
N = 266.773
266.73 months = 22 years and 3 months (266.73 ÷ 12)
Total Interest = $8,000.00
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Question 7 Mai and Tyler are selling items to earn money for their elementary school. The school earns w dollars for every wreath sold and p dollars for every potted plant sold. Mai sells 14 wreaths and 3 potted plants and the school earns $70.50. Tyler sells 10 wreaths and 7 potted plants and the school earns $62.50. This situation is represented by this system of equations: { 14 w + 3 p = 70 . 50 10 w + 7 p = 62 . 50 Which statements are true in explaining why it makes sense that the solution of this system is also a solution to 4 w + ( − 4 p ) = 8 . 00 ? Select all that apply. (Lesson 2-15) Multiple select question. A) Because 10 w + 7 p is equal to 62.50, subtracting 10 w + 7 p from the left side of 14 w + 3 p = 70 . 50 and subtracting 62.50 from its right side keep the two sides equal. B) The equation 4 w + ( − 4 p ) = 8 . 00 is the result of adding the two equations in the system and then dividing the result by 6. C) The equation 4 w + ( − 4 p ) = 8 . 00 is the result of subtracting the second equation in the system from the first equation. D) The equation 4 w + ( − 4 p ) = 8 . 00 represents the difference between Mai's sales and Tyler's sales, or the result of subtracting Tyler's sales from Mai's. E) The left side of the equation 4 w + ( − 4 p ) = 8 . 00 shows the difference in terms of the items sold. The right side shows the difference in dollars. The cost per wreath, w, and the cost per potted plant, p, haven't changed.
Answers
Option (C) is correct which is the equation 4 w + ( − 4 p ) = 8 . 00 is the result of subtracting the second equation in the system from the first equation.
Mai and Tyler are selling items to earn money for their elementary school.
Mai sells 14 wreaths and 3 potted plants and the school earns $70.50. Mathematically we can write,
14 w + 3 p = 70.50 equation 1
Tyler sells 10 wreaths and 7 potted plants and the school earns $62.50. Mathematically we can write,
10 w + 7 p = 62.50 equation2
equation 1 - equation 2 , we get
4 w + ( - 4 p ) = 8.00
which is the required equation.
We can conclude that the equation 4 w + ( − 4 p ) = 8 . 00 is the result of subtracting the second equation in the system from the first equation
So, option (C) is correct.
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I need help with coordinating it and I need the answer
Answers
Answer:
It's either C or B but I'm mostly going for C cause some of them have dots in the middle and some exactly on the line so if I were you I would choose C but if you want a different answer then choose B but I'd do C.
Hope this help biiiieee
There are 20 people trying out for a team. How many ways can you make randomly select for people to make a team?
Answers
There are 15,504 ways to randomly select a team of 5 people from a group of 20 people
If there are 20 people trying out for a team, the number of ways to select a team of n people can be calculated using the formula for combinations, which is:
C(20, n) = 20! / (n! * (20 - n)!)
where C(20, n) represents the number of ways to select n people from a group of 20 people.
For example, if we want to select a team of 5 people, we can plug in n = 5 and calculate:
C(20, 5) = 20! / (5! * (20 - 5)!) = 15,504
Therefore, there are 15,504 ways to randomly select a team of 5 people from a group of 20 people. Similarly, we can calculate the number of ways to select teams of different sizes by plugging different values of n into the formula for combinations.
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There are 25 people in a room and 5 are men. Express the number of men in the group as a fraction. 25/5 5/25 15/25
Answers
Answer:
its 4/10
Step-by-step explanation:
Find the product of the solutions for which \(\frac{x-5}{9} = \frac{5}{x+7}\)
A. -80
B. 80
C. 60
D. -60
Answers
The product of the solutions of the algebraic equation is -80
How to solve algebraic equations?An algebraic equation is any equation that contains unknown values, usually represented with alphabets or letter
(x-5)/9 = 5/(x+7)
(x-5)(x+7) = 5 * 9
(x-5)(x+7) = 45
x² - 5x + 7x - 35 = 45
x² + 2x - 35 = 45
x² + 2x - 35 -45 = 0
x² + 2x - 80 = 0
(x − 8)(x + 10) = 0
x−8=0 or x+10=0
x=8 or x=-10
Product of the solutions = 8 * (-10) = -80
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What is the slope-intercept form of 12x + 4y = 32
Answers
Answer: The slope-intercept form of 12x + 4y = 32 is y = -3x + 8.
Step-by-step explanation:
The rim of the volcanic crater shown below is a circle. The diameter is 840 m.
What is the circumference of the rim of the crater in kilometres (km)?
Give your answer to 1 d.p.
840 m
Not drawn accurately
Answers
Answer:
2.6 kilometers
Step-by-step explanation:
To find the circumference of a circle, we can use the formula:
Circumference = π * diameter
Given that the diameter of the volcanic crater is 840 meters, we can substitute this value into the formula:
Circumference = π * 840
Using the approximate value of π as 3.14159, we can calculate the circumference:
Circumference = 3.14159 * 840
Circumference ≈ 2643.1796 meters
To convert the circumference to kilometers, we divide the value by 1000:
Circumference in kilometers = 2643.1796 / 1000
Circumference ≈ 2.6432 kilometers
Therefore, the circumference of the rim of the volcanic crater is approximately 2.6 kilometers (rounded to 1 decimal place).