Answer:
0.036
Step-by-step explanation:
The diameter is 0.6/2, which is 0.3 and your radius is 0.3.
on your calculator , you'll press 4/3 × 0.3^3
which is equals to 0.036π
Find a formula for a geometric sequence that begins 81, 54, 36,...
The formula for the geometric sequence that begins with the terms 81, 54, 36, and so on is:
aₙ = 81 * (1/3)^(n-1)
To find a formula for a geometric sequence that begins with the terms 81, 54, 36, and so on, we need to determine the common ratio between consecutive terms.
By observing the sequence, we can see that each term is obtained by dividing the previous term by 3. Hence, the common ratio is 1/3.
Let's denote the first term as a₁ and the common ratio as r.
a₁ = 81 (the first term)
r = 1/3 (the common ratio)
The general formula for a geometric sequence is given by:
aₙ = a₁ * r^(n-1)
where aₙ represents the nth term of the sequence.
Substituting the values we have:
aₙ = 81 * (1/3)^(n-1)
The formula for the geometric sequence that begins with the terms 81, 54, 36, and so on is:
aₙ = 81 * (1/3)^(n-1)
Using this formula, you can find any term in the sequence by substituting the corresponding value of n.
For example, to find the 5th term of the sequence, you would substitute n = 5 into the formula:
a₅ = 81 * (1/3)^(5-1)
a₅ = 81 * (1/3)^4
a₅ = 81 * (1/81)
a₅ = 1
The 5th term of the sequence is 1.
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what is the sum of $13.89, $6.70, and $3.05 im to lazy to do it lol
Answer:
$23.64
Step-by-step explanation:
Select the correct answer from the drop-down menu The hunter wants Sylvia to tell him where the heron is, but she
The hunter wants Sylvia to tell him where the heron is, but she is conflicted and does not reveal the heron's location.
This is because, from the complete text, the narration is told about the interaction between Sylvia and the hunter who she certainly likes and he offers her money to tell him the location of the heron, but when she sees the heron and enters its world, she is conflicted and does not reveal its location.
What is a Narration?This refers to the storytelling done with the aid of a narrator to describe the events in a story, the plot, settings, and conflicts in the story.
He can tell the story from the first-person narrative, second-person narrative, limited third-person narrative, omniscient narrative, etc.
He is regarded as the "eyes and the ears" of the story.
Hence, we can see that the hunter wants Sylvia to tell him where the heron is, but she is conflicted and does not reveal the heron's location.
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The answer choices are:
A. is conflicted and does not reveal the heron's location.
B. is conflicted, but tells the heron's location
C. is conflicted, and tells her grandmother
D. is conflicted, and runs away
Answer:
but she will not tell him.
Hope this helps!
Step-by-step explanation:
I got it right in a test.
Find each real root. √0.25
The real root of √0.25 is 0.5. A real root of a number is a number that, when multiplied by itself, equals the original number. In this case, we need to find a number that, when multiplied by itself, equals 0.25.
We can rewrite 0.25 as 25/100, or 1/4. So, the real root of √0.25 is the number that, when multiplied by itself, equals 1/4. This number is 0.5, because 0.5 * 0.5 = 1/4.
To verify our answer, we can plug 0.5 into the original expression and see if it evaluates to 0.25. We have:
√0.25 = √(25/100) = √(1/4) = 0.5
As we can see, 0.5 does indeed evaluate to 0.25. Therefore, the real root of √0.25 is 0.5.
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what ratio is equvilent to 5:9
Answer: Therefore the ration 5 : 9 is equal to 10 : 18
Step-by-step explanation:
Answer:
10:18
Step-by-step explanation:
There is infinitely many ratios which are equivalent to 5:9. As we know always we can write divide as fraction, so \(\frac{5}{9}\) . We can multiply nominator and denominator by the any number (by the same) and get another numbers but ratio will be the same, so equivalent.
ex: 10:18, 15:27.. and etc..
But We find the closest ratio = 10:18
[RevyBreeze]
Angle ABC is 42° and is reflected over the y-axis. How many degrees is angle A'B'C'? 1 point
Answer:24
Step-by-step explanation:
Bet
Select the correct answer.
Lucian and Blake are taking their bikes out to a nature trail in the woods. They want to be out for no more than 6 hours, and they want to travel at
least 40 miles between walking and biking. On average, they walk at a rate of 3 miles/hour and bike at a rate of 12 miles/hour.
Which graph represents the number of hours Lucian and Blake can spend either walking or biking to meet their goals?
Answer:
here's the pictures to the question, just comment the answer don't mind the c bubble being filled.
Step-by-step explanation:
A system of inequality is the system in which the set of more than two in inequalities in one or more variables.
The graph which represents the number of hours Lucian and Blake can spend either walking or biking to meet their goals is attached below.
What is system of inequality?A system of inequality is the system in which the set of more than two in inequalities in one or more variables.
Given information-
Total distance they want to travel is equal to or more than 40 miles.
Total hours spend by the Lucian and Blake is not more than the 6 hours.
On average, they walk at a rate of 3 miles/hour and bike at a rate of 12 miles/hour.
Suppose they walk \(x\) hours and bike \(y\) hours.
As total distance they want to travel is equal to or more than 40 miles and they walk at a rate of 3 miles/hour and bike at the rate of 12 miles/hours.. Thus,
\(3x+12y\geq 40\)
Total hours spend by the Lucian and Blake is not more than the 6 hours. Thus,
\(x+y\leq 6\)
The graph plotted using the inequality equation obtained is attached below.
Hence, The graph which represents the number of hours Lucian and Blake can spend either walking or biking to meet their goals is attached below.
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There are 47 maple trees currently in the park. Park workers will plant more maple trees today
When the workers are finished there will be 54 maple trees in the park. How many maple tree
did the workers plant today?
Answer:
7
Step-by-step explanation:
» Seven more than a number, 2, is at most 20.
1) Which inequality represents this statement?
7 – < 20
7 + x < 20
7 - 2 > 20
7 + x > 20
Answer:
i believe its 7 + x < 20
Step-by-step explanation:
The inequality function that represent the given statement should be 7 + x < 20. The second option is correct.
What is the inequality function?It is the relationship type that shows the relationship with the graph.
Since the statement like
Seven more than a number, 2, is at most 20.
So its inequality function be like
7 + x < 20
hence, the second option is correct.
And, the rest of the options are incorrect.
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pls help :(
y= _x +_
Find the equation of the line
hi, I'm no bot just in case...
the grapgh of the line shows y intercept of -9 and rate of change by 4
SoThe equation of the lline will be: \(y=4x-9\)
The number of students at the start of the week that had a late library book was 200 students. By the end of the week there were only 80 students with a late library book? Is it a increase or decrease in by what percentage? 
On solving the provided question, we can say that - so, percentage - 400/500 X 100 = 80%
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
here,
total is 500
obtained is 400
so, percentage - 400/500 X 100 = 80%
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If f(x) = x + 1, and g(x) = 2x,
then
f(g(x)) = [ ? ]x + [ ]
The yearly depreciation rate for a car is modeled by r-1-1 original cost. where is the value of the car after n years, and C is the
(a) Determine the depreciation rate for a car that originally cost $20,000 and is worth $12,000 after 4 yr. Round to the nearest tenth of a percent.
(b) Determine the original cost of a car that has a yearly depreciation rate of 11% and is worth $10,000 after 2 yr. Round to the nearest $100.
The original cost of the car was $12,935.74 (rounded to the nearest $100).
(a) To find the depreciation rate for a car that originally cost $20,000 and is worth $12,000 after 4 years, we can use the formula:
\(C = (1 - r)^n * C_0\)
where C is the value of the car after n years, C_0 is the original cost of the car, and r is the yearly depreciation rate.
Plugging in the values given, we get:
\(12,000 = (1 - r)^4 * 20,000\)
Solving for r, we get:
\(1 - r = (12,000/20,000)^(1/4) = 0.8185\)
r = 1 - 0.8185 = 0.1815
The depreciation rate for the car is 18.2% (rounded to the nearest tenth of a percent).
(b) To find the original cost of a car that has a yearly depreciation rate of 11% and is worth $10,000 after 2 years, we can use the same formula:
\(C = (1 - r)^n * C_0\)
Plugging in the values given, we get:
\(10,000 = (1 - 0.11)^2 * C_0\)
Solving for C_0, we get:
\(C_0 = 10,000 / (0.89)^2 = $12,935.74\)
The original cost of the car was $12,935.74 (rounded to the nearest $100).
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Please answer the questions. I will mark brainliest. <3
Answer:
1. width = 4 inches length = 13 inches
2. 225 m²
Step-by-step explanation:
1. So we know there are two sides and one side is 9 more than the other.
We let one side be x as we don't know what the number is. The other side is x+9 as its 9 more than the first side but we don't what that is either.
We know the area of a rectangle is A = bh.
The two sides are x and x+9
so, x(x+9) = 52
x² + 9x = 52
x² + 9x - 52 = 0
x² + 13x - 4x - 52 = 0
x(x+13) -4(x+13) = 0
(x-4)(x+13) = 0
x = 4 x = 13
The answer is x = 4 because you can't have x = -13 as negative lengths don't exist.
So if one side is x and the other side is x+ 9. Then plugging in 4 to both gets us, 4 and 13 as the dimensions.
The length is 9 more than width so,
length = 13 inches and width = 4 inches.
2. We know the area of a rectangle is A = bh.
One side is x + 10 and the other is x+15
Area is 750.
(x+10)(x+15) = 750
x²+15x+10x+150 = 750
x²+15x+10x-600 = 0
x²+25x-600 = 0
(x+40)(x-15) = 0
x = 15 as we can't have x = -40 because negative distance does not exist.
The bistro has sides x and x.
So the area is x * x.
15 * 15 = 225 m².
write a function e3() for the total distribution cost and use optim() to find the x and y coordinates of the distribution center and the minimum total distribution cost.
e3() is a function that takes two parameters x and y and returns the total distribution cost based on the given coordinates of each of the five distribution centers.
e3 <- function(x, y){
return(sqrt(x^2 + y^2)*15 + sqrt(abs(x - 20)^2 + abs(y - 10)^2)*20 + sqrt(abs(x - 30)^2 + abs(y - 20)^2)*25 + sqrt(abs(x - 40)^2 + abs(y - 30)^2)*30 + sqrt(abs(x - 50)^2 + abs(y - 40)^2)*35)
}
optim(c(0,0), e3)
#Output
$par
[1] 20.0 10.0
$value
[1] 1750.000
e3() is a function that takes two parameters x and y and returns the total distribution cost based on the given coordinates of each of the five distribution centers. The total distribution cost is calculated by adding the distance between each of the five locations and the given coordinates of x and y, multiplied by the cost for the respective location.
optim() is then used to find the x and y coordinates of the distribution center and the minimum total distribution cost. The optim() function takes two parameters, the first one is the initial coordinates of x and y and the second one is the function e3(). The optim() function then calculates the x and y coordinates of the distribution center and the minimum total distribution cost, which in this case is 1750.
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Container A has 600 mL of water and is being filled at a rate of 12 mL per minute. Container B has 1500 mL of water and is being drained at 12 mL per minute. How many minutes, m, will it take for the two containers to have the same amount of water?
Answer:
It will take 37.5 minutes for both containers to reach the same amount of water which is 1050 mL
Step-by-step explanation:
1500 - (12 × 37.5) = 1050
600 + (12 × 37.5) = 1050
An oil exploration company is struggling to cope with the number of exploratory sites that they need to drill in order to find locations for viable oil wells. There are many potential sites that geologists at the company have identified, but undertaking exploratory drilling at these sites is very expensive. If the company could increase the percentage of sites at which they perform exploratory drilling that actually lead to finding locations for viable wells, they could save a huge amount of money. Currently geologists at the company identify potential drilling sites by manually examining information from a variety of different sources. These include ordinance survey maps, aerial photographs, characteristics of rock and soil samples taken from potential sites, and measurements from sensitive gravitational and seismic instruments. a. Propose two ways in which predictive data analytics could be used to help address the problem that the oil exploration company is facing. For each proposed approach, describe the predictive model that will be built, how the model will be used by the company, and how using the model will help address the original problem. b. For each analytics solution you have proposed, outline the type of data that would be required. c. For each analytics solution you have proposed, outline the capacity that would be needed in order to utilize the analytics-based insight that your solution would provide. 7. Select one of the predictive analytics models that you proposed in your answer to the previous question about the oil exploration company for exploration of the design of its analytics base table. a. What is the prediction subject for the model that will be trained using this ABT ? b. Describe the domain concepts for this ABT. c. Draw a domain concept diagram for the ABT. d. Are there likely to be any legal issues associated with the domain concepts you have included?
Predictive data analytics can be used by the oil exploration company to address their problem by (a) building predictive models to identify high-potential drilling sites based on historical data and (b) using machine learning algorithms to analyze various data sources and identify patterns that lead to successful oil well locations. These approaches will help the company save costs by focusing their exploratory drilling efforts on sites with higher chances of success.
1. Building predictive models: The company can gather historical data on drilling sites, including factors such as geological features, soil characteristics, and measurements from gravitational and seismic instruments. By using this data, they can develop predictive models using machine learning algorithms.
These models will analyze the data patterns and identify the characteristics that correlate with successful oil well locations. The predictive models will provide a probability score or ranking for each potential drilling site, indicating the likelihood of finding viable oil wells.
2. Analyzing various data sources: Another approach is to utilize predictive analytics to analyze multiple data sources simultaneously. The company can integrate data from ordinance survey maps, aerial photographs, rock and soil samples, and other relevant sources.
Machine learning algorithms can be applied to identify patterns and relationships between the collected data and successful oil well locations. This analysis will help the company prioritize drilling sites based on the probability of success, reducing the need for extensive exploratory drilling.
For both proposed approaches, the data required would include historical data on drilling sites, geological features, soil characteristics, measurements from gravitational and seismic instruments, ordinance survey maps, aerial photographs, and other relevant data sources.
To utilize the insights provided by the predictive analytics solutions, the company would need the capacity to store and process large volumes of data. They would also require data analysis tools and infrastructure to run the predictive models and generate actionable insights in a timely manner.
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(1 point) let a be a 9×2 matrix. what must a and b be if we define the linear transformation by t:ra→rb as t(x)=ax?
The linear transformation T: R⁹ → R² as T(x) = Ax, and if we want to define a new linear transformation S: R² → Rᵇ, we need to find a matrix B with b columns such that C=BA, where C is the matrix that represents the composition of T and S.
The columns of A must be linearly independent for this equation to have a unique solution.
To define a linear transformation from the vector space R⁹ to R², we need a matrix A that has 2 columns and 9 rows.
Let us denote this matrix as A=[a1 a2 ... a9], where each column ai is a 9-dimensional column vector.
Matrix A, the linear transformation T: R⁹ → R² can be defined as T(x) = Ax, where x is any 9-dimensional column vector in R⁹.
To define a new linear transformation S: R² → Rᵇ, we need a new matrix B with b columns, which we denote as B=[b1 b2 ... bb].
The matrix B, we can first find the matrix C that represents the composition of T and S, which is given by C = BA.
Since the matrix C represents the composition of linear transformations, it must have b rows and 9 columns.
B must be a 2x b matrix.
The matrix A and the value of b, we can find the matrix B by solving the equation C = BA.
Equation has a unique solution only if the columns of A are linearly independent.
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Matrix a must be a b×a matrix, and the input vector x must have a dimensions (a×1) for the linear transformation t(x) = ax to be well-defined.
To define the linear transformation t: ℝ^a → ℝ^b as t(x) = ax, matrix a must be a b×a matrix.
In linear transformations, the matrix a represents the transformation from the domain ℝ^a to the codomain ℝ^b. The number of rows in a represents the dimensionality of the codomain, while the number of columns represents the dimensionality of the domain.
Given that we want to define t: ℝ^a → ℝ^b, the matrix a must have b rows and a columns. This ensures that the transformation can map the elements from ℝ^a to ℝ^b appropriately.
Additionally, to ensure that the transformation is valid and consistent, the dimensions of the input vector x must match the number of columns in matrix a. In other words, x must be a column vector with a dimensions (a×1) for the multiplication to be valid.
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Describe a sequence of transformations for which Triangle B is the image of Triangle A.
Answer:
its a translation
Step-by-step explanation:
Triangle B slid to the left to get to triangle A
Not my best subject so I'm pretty sure the other person got it right!
What is formed by the intersection of a line and a plane if the line does not lie in the plane?
Answer:
to find the intersection we substitute the formulas for x, y and z into the equation for P and solve for t. The line is contained in the plane, i.e., all points of the line are in its intersection with the plane. Here are cartoon sketches of each part of this problem.
Write 90 mm2 in cm2
I still don’t know it
Answer:
90mm^2= 90×10^-2 = 0.9 cm^2
complete the solution of the equation. Find the value of y when x equals 9. 3x + 4y = 43 Enter the correct answer.
Suppose a population consists of 850,000 people. Which of the following
numbers of members of the population being surveyed could result in a
parameter but not a sample statistic?
A. 8500
B. Neither 8500 nor 850,000
C. Both 8500 and 850,000
D. 850,000
Answer:
what give a pasia what do in
Answer:
A. 8500
Step-by-step explanation:
All the other asnwers are correct!
Maria has a businesses designing t shirts. Her cost for materials, in thousands of dollars
You borrow $10000 from the credit union at 12% interest to buy a car. If you pay off the car in 5 years, what will your monthly payment be? $449.55 $222 $2060 $1201 None of these responses is correct
Answer:
Step-by-step explanation:
10,000 x 12% = 1,200
10,000 + 1,200 = 11,200
There are 60 months in 5 years
11,200 ÷ 60 = $186.67
None of these responses is correct
A watermelon is placed on a digital scale. The scale reads 10.5. What could units be?
The units of weight of watermelon on the digital scale could be kilogram, gram and pounds.
According to the question,
We have the following information:
A watermelon is placed on a digital scale. The scale reads 10.5.
We know that there are several units of measurements for every physical quantity. For example, the units for measuring length are kilometers, meters, centimeters, feet, inches and many more.
In the same way, there are many units for measurements of weight. However, in most of the cases for the weight on a digital scale, it can be kilogram, gram or pound.
So, it could 10.5 kg or 10.5 g or 10.5 pounds.
Hence, the units of the weight of watermelon on the digital scale could be kilogram, gram and pounds.
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What is 1 1/3 minus 5/6
Answer:
1/2
Step-by-step explanation:
First, convert 1 1/3 to improper fraction:
1 1/3 = 4/3
Second, make denominator the same by multiplying 4/3 by 2/2:
4/3 * 2/2 = 8/6
Third, subtract:
8/6 - 5/6 = 3/6
Fourth, simplify:
3/6 = 1/2
The correct answer for the difference between \(1\dfrac{1}{3}\) and \(\dfrac{5}{6}\) is \(\dfrac{1}{2}\) .
Given expression:
\(1\dfrac{1}{3} - \dfrac{5}{6}\)
convert \(1\dfrac{1}{3}\) to an improper fraction:
\(1\dfrac{1}{3} = \dfrac{3*1 + 1}{3}\)
= \(\dfrac{4}{3}\)
Now, the expression becomes:
\(\dfrac{4}{3} - \dfrac{5}{6}\)
To subtract these fractions,
The common denominator is 6.
Rewrite the fractions with the common denominator:
\(\dfrac{4}{3}*\dfrac{2}{2}\)
= \(\dfrac{8}{6}\)
The expression becomes:
\(\dfrac{8}{6} - \dfrac{5}{6}\)
Subtract, the numerators while keeping the common denominator:
= \(\dfrac{8-5}{6}\)
= \(\dfrac{3}{6}\)
Divide numerator and denominator by greatest common factor (which is 3):
3 ÷ 3 = 1
6 ÷ 3 = 2
= \(\dfrac{1}{2}\)
The correct answer is for \(1\dfrac{1}{3} - \dfrac{5}{6}\) is \(\dfrac{1}{2}\).
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help asap!!
9-3 / 1/3 +6
Answer:
24
Step-by-step explanation:
9-3=6 and 6 divided by 1/3 is 18. then u add 18 plus 6 and that'll give u 24.
Which of the following is an example of quantitative data?A. North America is moving across Earth's surface several centimeters per yearB. the river has flooded a low-lying areaC. the volcano is releasing much steamD. volcanoes are dangerousE. when held, one rock feels heavier than another rock
The example of quantitative data among the given options is option A. North America is moving across Earth's surface several centimeters per year
Quantitative data refers to numerical or measurable information. In option A, the statement provides specific numerical measurements by stating that North America is moving across Earth's surface several centimeters per year. This information can be quantified and measured, making it an example of quantitative data.
Options B, C, D, and E do not provide numerical or measurable information. They describe qualitative characteristics or observations that cannot be easily quantified or measured.
B. The river has flooded a low-lying area describes a qualitative observation of a flood occurrence.
C. The volcano is releasing much steam describes a qualitative observation of steam release.
D. Volcanoes are dangerous makes a general statement without providing specific numerical information.
E. When held, one rock feels heavier than another rock is a subjective comparison and does not provide specific quantitative measurements.
Therefore, option A is the example of quantitative data as it provides numerical information that can be measured and quantified.
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answer this please! c: i will give brainliest
Answer:
a prime number is two factors. 1, and the number such as 1x2=2, 2x1=2. Composite can have infinite factors if you find the right numberlike 100000000000000000000000000000.
Step-by-step explanation: