Answers
Answer:
5143e2ee
Step-by-step explanation:
Related Questions
What is the value of 6a - 2b when a = 5 and b = 8
Answers
Answer:
14
because 6(5)=30 and -2(8)=-16
30-16=14
Answer:
14
Step-by-step explanation:
All we need to do to get the value of 6a-2b is to plug in 5 for the variable "a" (replace a with 5) and plug in 8 for variable "b" (replace b with 8).
Because the variables are right next to the number, that indicates multplication, so the equation is basically saying 6*a-2*b
So let's plug in the numbers for the variables and solve:
6*5-2*8
6*5=30
2*8=16
30-16=14
So our final answer is 14
If you save $20 each month for 5 months in a savings account, how much will you have saved? is it 125?
Answers
Answer:
At the end of 5 months you will own $100 dollars
Step-by-step explanation:
20 x 5 = 100
Answer:
no it will be 100
Step-by-step explanation:
20 x 5 = 100
You are considering purchasing instead of renting. Currently, you pay $1,500 each month in rent. The home you are interested in purchasing is valued at $248,000. You have determined the monthly payment will only be $1,331 if you take out a 30 year loan at 5%. The only thing you haven't considered is your monthly property tax bill.
You know the assessed value is 29% for residential property and you determine that the mill rate in your county is 32.45%0.
Calculate your yearly and monthly property tax and determine if it will be a better deal to continue to rent or to purchase this home based on your monthly cash output.
Yearly property tax: $
Monthly property tax: $
Which is less per month cost? Continue renting or Buying the house.
Answers
1. Calculating the yearly and monthly property tax to determine if it will be a better deal to continue to rent or to purchase this home based on the monthly cash output is as follows:
Yearly property tax: $2,334Monthly property tax: $194.50.2. To continue renting at $1,500 is less costly per month than buying the house with a monthly cash outflow of $1,525.50.
But the difference between renting and buying is minimal unless you factor in future maintenance costs.
How is the property tax computed?The property tax per year is based on the assessed value multiplied by the mill rate and divided by 1,000.
The annual property tax is then divided by 12 to obtain the monthly property tax.
Home value = $248,000
Assessed value = $71,920 ($248,000 x 29%)
Mill rate = 32.45%
Yearly property tax = $2,334 ($71,920 x 32.45/$1,000)
Monthly property tax = $194.50 ($2,334/12)
Comparison of Renting and Buying:Renting Purchase
Monthly payment $1,500 $1,331
Property tax 194.50
Total monthly payment $1,500 $1,525.50
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Can someone please check if this is correct?
Answers
Answer:
Just two corrections! See attached image.
Step-by-step explanation:
The product of 8 and b taken from 10 means begin with 10 and subtract 8b from it.
8 times the difference of 10 and b means find 10 - b first, then multiply by 8.
Pls. Help find these answers?!
Answers
Answer:
12
Step-by-step explanation:
Answer:
1) 12 boxes
2) 3, 6, 12
3) 12
4) 110 degrees
Step-by-step explanation:
1) Count the rectangles. Multiply the length of the rectangle in boxes to the width of rectangle in boxes.
Length: 4 boxes
Width: 3 boxes
4 x 3 = 12
12 boxes
2)
10% of 30 is 0.1 times 30.
0.1 x 30 = 30/10 = 3
20% of 30 is 0.2 times 20.
0.2 x 30 = 30/5 = 6
40% of 30 is 0.4 times 20.
0.4 x 30 = 30/2.5 = 12
3) Count the cubes. Reminder there are 2 boxes you cannot see.
Top Layer: 2
Middle Layer: 4
Back Bottom Layer: 4
Front Bottom Layer: 2
2 + 4 + 4 + 2 = 12
4) I cannot see the semicircle clearly, but I do know that a circle is 360 degrees. A semicircle, half of a circle, is 180 degrees.
180/18 (The angle of each section)
10
11 Sections
10 x 11 = 110
What is the LCD ( least common denominator) of 1/3 and 3/4
Answers
Answer:
12
Step-by-step explanation:
I. Find LCD value by devide all denominator,
in this case are 3 and 4
= 2 | 3 4
| 3 2
= 2 * 3 * 2
= 12
Hope that help :)
40000$ consumer loan will be paid in monthly equal installment over
2years monthly payments , if the interest rate is 15.8% what will
be the amount?
Explain the answer in details
Answers
A consumer loan of $40,000 with a 15.8% interest rate will require monthly payments over a period of 2 years. The total amount to be paid, including both principal and interest, will be approximately $45,380.
To calculate the monthly payments, we need to determine the total amount to be paid over the loan period, including the principal amount and the interest. The formula used for calculating equal monthly installments is:
M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)
Where:
M = Monthly payment
P = Principal amount
r = Monthly interest rate
n = Number of monthly payments
In this case, the principal amount (P) is $40,000, the interest rate (r) is 15.8% per year, and the loan duration (n) is 2 years (24 months).
First, we convert the annual interest rate to a monthly rate by dividing it by 12: 15.8% / 12 = 0.0132.
Next, we substitute the values into the formula:
M = 40,000 * (0.0132 * (1 + 0.0132)^24) / ((1 + 0.0132)^24 - 1)
Calculating this formula gives us the monthly payment (M) of approximately $1,907.42.
To find the total amount to be paid, we multiply the monthly payment by the number of payments: $1,907.42 * 24 = $45,778.08. However, this includes both the principal and the interest. Subtracting the principal amount ($40,000) gives us the total interest paid: $45,778.08 - $40,000 = $5,778.08.
Therefore, the total amount to be paid, including both principal and interest, will be approximately $45,778.08.
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State the domain and range of the function graphed below!!!!
Answers
The domain is the span of the x-values, and the range is the span of the y-values. In each, we are looking for the smallest and largest values.
Domain: x starts at -7, and goes to infinity (we cannot see an end)
(-7, infinity)
Range: y starts at negative infinity (we cannot see where it would start), and goes to 3
(negative infinity, 3)
Hope this helps!
Answer:
the domain starts at -7 ... only one answer has the domain starting at -7
domain(-7, infinity)
Step-by-step explanation:
the domain starts at -7 ... only one answer has the domain starting at -7
Each of the equal sides of an Isosceles Triangle is 4 times the third side. The perimeter of the triangle is 144 inches. Find the sides of the Triangle.
Answers
Answer:
16 + 64 + 64 are the 3 sides.
Step-by-step explanation:
There are two sides that are 4 times the third side.
Let the 3rd side = x
4x + 4x + x = 144 inchines
9x = 144 inches
x = 144/9
x = 16 inches.
So the base (which is the smallest side) = 16 inches.
One of the two sides remaining is 4x = 4*16 = 64
The other side = 64
Check
64 + 64 + 16 = 144 as it should.
Answer:
Step-by-step explanation:e
PLZ HELP ASAP
The circle is centered at the point (4,5), and the length of its radius is 3. what is teh equation of the circle?
a) (x-4)^2 + (y-5)^2 = 9
b) (x+4)^2 + (y+5)^2 = 3
c) (x-5)^2 + (y-4)^2 = 9
d) (x^2-4) + (y^2-5) = 3^2
Answers
Answer:
The answer is C.
Step-by-step explanation:
The matrix has two distinct eigenvalues such that ₁ < ₂. The smaller eigenvalue ₁ = The larger eigenvalue 22 = Is the matrix C diagonalisable? choose Note: You can earn partial credit on this problem. has algebraic multiplicity has algebraic multiplicity and geometric multiplicity and geometric multiplicity 14 C = -10 5 -20 -70 24 70 -10 -31
Answers
The matrix C is diagonalizable.
To determine if the matrix C is diagonalizable, we need to examine the algebraic and geometric multiplicities of its eigenvalues.
From the given information, we have:
Eigenvalue λ₁ = -10 (smaller eigenvalue)
Eigenvalue λ₂ = 22 (larger eigenvalue)
The algebraic multiplicity of an eigenvalue is the number of times it appears as a root of the characteristic equation. To find the algebraic multiplicity, we need to solve the characteristic equation det(C - λI) = 0, where det denotes the determinant and I is the identity matrix.
The characteristic equation is:
| -10 5 |
| -20 -70 | - λI = 0
| 24 70 |
Expanding the determinant, we get:
(-10 - λ)((-70 - λ) - (5)(24)) - (5)((70)(24) - (-10)(24)) = 0
(λ + 10)(λ + 22) - 1200 = 0
λ² + 32λ - 440 = 0
Solving this quadratic equation, we find the eigenvalues:
λ₁ = -20
λ₂ = 22
Now, we need to determine the geometric multiplicity for each eigenvalue. The geometric multiplicity is the dimension of the eigenspace corresponding to each eigenvalue.
For λ₁ = -20:
We need to find the null space of the matrix (C - λ₁I) to find the eigenvectors. Subtracting -20 times the identity matrix from matrix C:
| -10 5 |
| -20 -70 | - (-20)I = 0
| 24 70 |
Row reducing this matrix gives:
| 1 -1 |
| 0 0 | = 0
| 0 0 |
From this, we see that the first row corresponds to the equation x - y = 0, which means x = y. So, the eigenvector for λ₁ = -20 is of the form [t, t] where t is a scalar.
For λ₂ = 22:
We need to find the null space of the matrix (C - λ₂I) to find the eigenvectors. Subtracting 22 times the identity matrix from matrix C:
| -10 5 |
| -20 -70 | - 22I = 0
| 24 70 |
Row reducing this matrix gives:
| 1 3 |
| 0 0 | = 0
| 0 0 |
From this, we see that the first row corresponds to the equation x + 3y = 0, which means x = -3y. So, the eigenvector for λ₂ = 22 is of the form [-3t, t] where t is a scalar.
Now, let's determine the geometric multiplicities:
For λ₁ = -20, the null space dimension is 1. So, the geometric multiplicity is 1.
For λ₂ = 22, the null space dimension is 1. So, the geometric multiplicity is 1.
Since the algebraic multiplicities match the geometric multiplicities for both eigenvalues, we can conclude that the matrix C is diagonalizable.
Therefore, the matrix C is diagonalizable.
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in order to understand more about how people in the u.s. feel about the outcome of a recent criminal trial in which the defendant was found not guilty, a television news program invites viewers to go the news programs website and indi-cate their opinion about the event. at the end of the show 82% of the people who voted in the poll indicated they were unhappy with the verdict. 2.1.26 use the previous information to answer the follow-ing questions. a. what is the population of interest? b. do you believe that the proportion of people unhappy with the verdict in the sample is likely less than, similar to, or greater than the proportion of individuals unhappy with the verdict in the population? why?
Answers
a. The population of interest in this case is the general public of the United States who have knowledge about the criminal trial and its verdict. b. It is likely that the proportion of people unhappy with the verdict in the sample is similar to the proportion of individuals unhappy with the verdict in the population.
a. The population of interest in this case is the general public of the United States who have knowledge about the criminal trial and its verdict.
b. It is likely that the proportion of people unhappy with the verdict in the sample is similar to the proportion of individuals unhappy with the verdict in the population. This is because the television news program invited viewers to go to their website and indicate their opinion, which means that only a certain segment of the population who watched that particular news program and had access to the internet were able to participate in the poll. Additionally, people who feel strongly about the verdict may be more likely to participate in the poll, leading to potential bias in the sample. Therefore, it is important to acknowledge that the poll results may not be entirely representative of the entire population and should be interpreted with caution. In order to obtain a more accurate estimate of the proportion of people unhappy with the verdict in the population, a larger, more diverse and random sample should be used.
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A simple hypothesis contains one predictor and one outcome variable, e.g. positive family history of schizophrenia increases the risk of developing the condition in first-degree relatives. Here the single predictor variable is positive family history of schizophrenia and the outcome variable is schizophrenia. A complex hypothesis contains more than one predictor variable or more than one outcome variable, e.g., a positive family history and stressful life events are associated with an increased incidence of Alzheimer’s disease. Here there are 2 predictor variables, i.e., positive family history and stressful life events, while one outcome variable, i.e., Alzheimer’s disease. Complex hypothesis like this cannot be easily tested with a single statistical test and should always be separated into 2 or more simple hypotheses
A car company decided to introduce a new car whose mean petrol consumption is claimed to be lower than that of the existing car. A sample of 50 new cars were taken and tested for petrol consumption. It was found that mean petrol consumption for the 50 cars was 30 km per litre with a standard deviation of 3.5 km per litre. Test at 5% level of significance whether the company‟s claim
Answers
Based on the given information and performing a one-sample t-test, the conclusion is that if the population mean (μ) is greater than 30.8294 km per litre, we reject the null hypothesis.
Given:
Sample mean (x') = 30 km per litre
Sample standard deviation (s) = 3.5 km per litre
Sample size (n) = 50
Significance level (α) = 0.05 (5%)
Null hypothesis \((H_0)\): The mean petrol consumption of the new car is equal to or higher than that of the existing car.
Alternative hypothesis \((H_1)\): The mean petrol consumption of the new car is lower than that of the existing car.
We'll calculate the test statistic (t-value) and compare it with the critical t-value.
The formula for the t-value is:
t = (x' - μ) / (s / √n)
where μ is the population mean (mean petrol consumption of the existing car).
First, we need to calculate the critical t-value from the t-distribution table. Since we have a significance level of 0.05 and (50 - 1) degrees of freedom, the critical t-value for a one-tailed test is approximately -1.677.
Now, let's calculate the t-value:
t = (30 - μ) / (3.5 / √50)
To reject the null hypothesis, the t-value should be less than the critical t-value.
Simplifying the equation:
t = (30 - μ) / (0.495)
To find the critical value, we compare it with the calculated t-value:
-1.677 > (30 - μ) / (0.495)
Multiplying both sides of the inequality by 0.495:
-0.8294 > 30 - μ
Rearranging the inequality:
μ > 30 + 0.8294
μ > 30.8294
Therefore, if the population mean (μ) is greater than 30.8294 km per litre, we reject the null hypothesis in favor of the alternative hypothesis, concluding that the mean petrol consumption of the new car is lower than that of the existing car.
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determine the measure of each of the following. a. Arc length of AE
Answers
The arc length is calculated using the formula:
\(l=\frac{\theta}{360}\cdot2\pi r\)where θ is the arc angle and r is the radius of the circle.
From the question, we have the following parameters:
\(\begin{gathered} \theta=130 \\ r=5 \end{gathered}\)Therefore, the arc length of AE will be:
\(\begin{gathered} AE=\frac{130}{360}\cdot2\cdot\pi\cdot5 \\ AE=11.34 \end{gathered}\)The length of arc AE is 11.34 inches.
a lottery offers one $1000 prize, one $500 prize, and eight $100 prizes. one thousand tickets are sold at $4.00 each. find the expectation if a person buys five tickets.
Answers
Answer:
he would have a 50% chance of getting one of the 10 prizes
consider a completely randomized design with k treatments. assume all pairwise comparisons of treatment means are to be made using a multiple comparisons procedure. determine the total number of pairwise comparisons for k.
Answers
The total number of pairwise comparisons for k is (k*(k-1))/2.
There are (k*(k-1))/2 pairwise comparisons in a completely randomized design with k treatments. For example, if there are 4 treatments, there will be 6 pairwise comparisons (4C2 = 6). Here's the explanation:In a completely randomized design, the treatments are randomly assigned to the experimental units. The main objective of such a design is to determine whether the treatment means are different from each other or not.To compare the treatment means, we use the mean square between treatments (MST) and mean square error (MSE). The test statistic used to compare the means is F = MST/MSE.The ANOVA table for a completely randomized design has the following format:Source of variationSum of SquaresDegrees of freedomMean SquareF-testtreatmentSS(k-1)k-1MST=MSTrMSEResidualSSTn-kMSEReference: https://www.stat.yale.edu/Courses/1997-98/101/anovar.htmNow, we need to compare each pair of treatments using a multiple comparisons procedure. A pairwise comparison involves comparing the means of two treatments only.The total number of pairwise comparisons is given by the combination formula:$$ \frac{k!}{2!(k-2)!} = \frac{k(k-1)}{2} $$Therefore, the total number of pairwise comparisons for k is (k*(k-1))/2.
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How to solve step by step the following polynomial factoring problem:
(x + 3) - x(x^{2} + 6x+9)
Answers
Answer:
(x + 3) - x(x² + 6x + 9)
= (x + 3) - x(x + 3)²
= (x + 3)[1 - x(x + 3)]
= (x + 3)(1 - x² - 3x)
Step-by-step explanation:
Answer:
\((x+3)(1-x^2-3x)\)
Step-by-step explanation:
First, let's factor that quadratic on the right:
\(x^2+6x+9\) happens to factor nicely into \((x+3)^2\), and putting that into our expression gets us
\((x+3)-x(x+3)^2\)
Factoring out an (x + 3) from each term, we get
\((x+3)[1-x(x+3)]\)
Simplifying that expression on the right:
\((x+3)(1-x^2-3x)\)
We can't factor that right-side expression any more, so we can just leave it like that!
Choose the inequality that represents the following graph.
+
-3
1
-1
-5
-4
-2
0
1
2
3
4
5
MA
(A
Choose 1 answer:
As
z<-4
MY
33-4
Coi
C
>-4
MY
Pro
2-4
Answers
Answer:
The correct answer is D
A science class was studying a population of mosquitoes. They found that the
population doubled every day. Their study started with 20 mosquitoes. How many
mosquitoes will there be after 20 days?
A)1.048576E26
B)5120
C)2080
D)20,971,520
Answers
Answer:
A.
20^20 = 1.048576×10^26
What is a parabola parent function?
Answers
The parent function of a parabola is y = x².
A function is said to be a parent function if it is expressed in the simplest form and satisfies the definition of a particular type of function.
The simplest function that satisfies the definition of a parabola is given by y = x². It is also called quadratic function.
Its graph passes through the origin (0,0) and lies in first and second quadrant.
One or more parabolas can be easily obtained by transforming the parent function of the parabola.
Therefore, the parent function of parabola is given by y = x².
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I Need Help With This Question
Answers
Answer:
Step-by-step explanation:
Dont do it. Just take the detention
45. Two similar cups are 3cm and 5cm deep. If the larger cup holds 625cm' of water, what is the volume of the smaller one? A. 27cm3 B. 125cm3 C. 135cm3 D. 208cm3 E. 490cm3
Answers
Answer:
c 135cm^3 is the correct answer
Answer:
Step-by-step explanation:
volume of smaller cup=625×(3/5)³=625×27/125=5×27=135 cm³
Can opposition day egsit
Answers
Answer:
is this really a smart question?
Step-by-step explanation:
what are you talking about?
3x√64= please help meee
Answers
Answer:
I think the answer is 2.7
Step-by-step explanation:
3x√64
√64=8
3x=8
x=8/3
x=2.7
Solve question in picture pls need ASAP
Answers
Answer:
do you s still need it or not anymore for if you do I could answer
Write the equation of the line that passes through the points (2,-4) and (4,2) in slope-intercept form.
Answers
Answer:
Slope Intercept Form: y=3x-10
Step-by-step explanation:
First, we need to solve the slope.
The formula: y2-y1/x2-x1 = m
Coordinate Points:
(2, -4) ; (4,2)
Do 2 - (-4) for the y's and 4-2 for the x's
Formula: 2-(-4)/4-2
2 - (-4) is a positive answer since the negatives cancel to a positive.
That shall be 6.
4-2 = 2
Now we have 6/2 which means 6 divided by 2 which is 3.
Our slope is 3.
Slope-Intercept Formula: y=mx+b
Our "m" is 3
y = 3x + b
Our b which is the y-intercept is undefined.
We need to plug one of the coordinates into the formula to find it.
Plug (2,-4) into the formula.
-4 = 3(2) +b
Do 3 x 2 first
-4 = 6 + b
Now subtract 6 on both sides
-6-4 = b
Our y-intercept is -10 because negative subtracted by negatives is an addition number followed by the greater number's sign.
Formula: y=3x-10
Answer:
y = 3x - 10
Step-by-step explanation:
To determine the line that passes through the points (2, -4) and (4, 2), we need to determine the slope of the line. Then, using the slope of the line and any point, we can determine the equation of the line using point slope form.
How to determine the slope of the line?
The slope of the line can be determined by using the formula (y₂ - y₁)/(x₂ - x₁), where x₂ and y₂ are the coordinates of the second point; x₁ and y₁ are the coordinates of the first point.
Determining the slope of the line:\(\implies\large\text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }\)
In this case, our first point and second point are (2, -4) and (4, 2) repectively as stated in the question. Therefore,
Point₁ = (x₁, y₁) = (2, -4) ⇒ x₁ = 2 y₁ = -4Point₂ = (x₂, y₂) = (4, 2) ⇒ x₂ = 4 y₂ = 2When we substitute the following into the formula, we obtain;
\(\implies\large\text{Slope} = \dfrac{2- (-4)}{4 - 2 }\)
When we perform subtraction, we obtain;
\(\implies\large\text{Slope} = \dfrac{2- (-4)}{4 - 2 } = \dfrac{2 + 4}{2 } = \dfrac{6}{2}\)
Which when simplified, we get;
\(\implies\large\text{Slope} = \dfrac{6}{2} = 3\)
Determining the equation of the line:As said above, to determine the equation of the line with the slope and a point given, we can use point slope form. The chosen point must be on the line. The question states that "the line that passes through the points (2,-4) and (4, 2)". Therefore, we can tell that (2,-4) and (4, 2) are points that are on the line. Let's choose (4, 2) as our chosen point.
Chosen point: (4, 2)Now, let's substitute the slope of the line and the coordinates of the chosen point in the point slope form equation.
⇒ Point slope form: y - y₁ = m(x - x₁)⇒ Point slope form: y - 2 = 3(x - 4)Finally, let's simplify the point slope equation and convert it into slope intercept form (as stated in question).
⇒ Point slope form: y - 2 = 3x - 12The slope intercept form states that;
Slope intercept form: y = (m)x + (b)We can see that the "y" variable is isolated on one side of the equation [y = (m)x + (b), Slope intercept form equation]. Thus, we need to isolate the y-variable in y - 2 = 3x - 12 to obtain our equation in slope intercept form. This can be done by adding 2 to both sides of the equation.
⇒ y - 2 + 2 = 3x - 12 + 2⇒ y = 3x - 10Therefore, the equation in slope intercept form is y = 3x - 10.
This is my last question help me please
Answers
Answer:
Line 1: \(y=-x+2\)
Line 2: \(y=2x-1\)
Step-by-step explanation:
Line 1
Staring with line one, let's find the slope!
Between the two known points, the rise, or change in y, is 2, and the run, or change in x, is -2. The slope is the rise over the run, so:
\(-\frac{2}{2} =-1\)
The slope is negative 1! The line crosses the y-axis at \(y=2\), so 2 is the y-intercept. Using the slope-intercept formula, the equation is:
\(y=-x+2\)
Line 2
To find the slope of line 2, find the rise and the run between the two known points! The rise is 4, and the run is 2. Simplified, this is:
\(\frac{4}{2} =2\)
The slope is 2! The line crosses the y-axis at \(y=-1\), so -1 is the y-intercept. Using the slope-intercept formula, the equation is:
\(y=2x-1\)
Answer:
y=2x-1 , y=x+2 , the solution of the system is (1,1)
Step-by-step explanation:
Lines can be expressed in the form y=mx+b where m is the slope and b is the y-intercept.
m= rise/run
Looking at the blue line:
m =2/1 =2
The slope is 2 since you rise 2 squares and run to the right one square.
We see that the line crosses the y-axis at (0,-1) so the y-intercept is -1.
Putting it all together: y=2x-1
Looking at the red line:
m = -1 / 1 = -1
We see that the line crosses the y-axis at (0,2) so the y-intercept is 2.
Putting it all together: y=1x+2 or simply y=x+2
The solution to the system is the point that satisfies both equations. Rather than solving it algebraically, we can simply look at the graph and find a point that is on both lines, aka the intersection. In this case, the intersection is (1,1).
Every week Bob checks on his chickens and adds more grain to a hopper feeding them. The first week it is empty and he adds 218 lbs. ham The next week he finds 217 lbs grain remaining. He adds 3 lbs to the hopper. ham The next week he finds 218 lbs grain remaining. He adds 9 lbs to the hopper. ham The next week he finds 223 lbs grain remaining. He adds 16 lbs to the hopper. ham The next week he finds 231 lbs grain remaining. He adds 26 lbs to the hopper. How much grain will he find remaining next week?
Answers
Answer:
246???????
Step-by-step explanation:
218 - 217 = 1
217 + 3 = 220
220 - 218 = 2
218 + 9 = 227
227 - 223 = 4
223 + 16 = 239
239 - 231 = 8
so following that pattern
231 + 26 = 257
257 - 16 = 241
The answer is 241
what number completes the sentence below 9 14 12 17 15 20
Answers
Answer:
18
Step-by-step explanation:
9 (+5) 14 (-2) 12 (+5) 17 (-2) 15 (+5) 20 (-2) 18
Answer:
The next three numbers in the sequence are: 18, 23, 21 . .
Step-by-step explanation:
The pattern in this sequence is +5, -2 and it repeats over and over again. Since the previous term is five more than the one before it, the next pattern is going to be -2.
20 - 2 = 18, which is the next term in the sequence.
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).