Answer:
42
Step-by-step explanation:
You get 42 by looking at the denominators 7 and 21. You times by 3 to get from 7 to 21, so you times 14 by 3 to get n, which is 42.
Answer:
42
Step-by-step explanation:
On the bottom 7 was multiplied by 3 so you would do the same to 14.
16. In the figure below, lines A and B are parallel.
Answer:
the angle measurement is 75
Step-by-step explanation:
Water vapor constitutes about this much of the atmosphere by volume.
-0-4 percent
-4-12 percent
-0-12 percent
-0-100 percent
-4-25 percent
Water vapor is an important component of the Earth's atmosphere, and it plays a crucial role in regulating the climate. water vapor makes up about 0-4% of the Earth's atmosphere by volume . So the correct option is A.
It is a greenhouse gas, which means that it can trap heat in the atmosphere and contribute to global warming. The amount of water vapor in the atmosphere can vary depending on location, temperature, and weather conditions. On average, water vapor makes up about 0-4% of the Earth's atmosphere by volume. This may seem like a small amount, but it has a significant impact on weather patterns and climate. As temperatures rise due to climate change, the amount of water vapor in the atmosphere is expected to increase, which could have further impacts on global climate.
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When a process is said to be at six sigma level, what does it
mean? (7 points)"
Answer:
Step-by-step explanation: It means a high level of quality, with 3.4 defects per million opportunities. It is this sigma level that leads to the term Six Sigma, which is a philosophy of delivering near perfect products or services by eliminating variabilities that lead to defects.
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Consider the vectors u = <-1, -3>, V = <5,-8>, W = <5, -2>, and z = <3, 1>.
Based on the components of vectors U, V, W, and Z match each vector subtraction with the magnitude of the resulting vector.
Answer:
1. ║u-z║= 5.66
2.║v-w║=6.0
3. ║w-u║=6.08
4.║v-u║=7.81
Step-by-step explanation:
The vectors are given as;
u = <-1, -3>, v = <5,-8>, w = <5, -2>, and z = <3, 1>.
To find the magnitude of the vectors;
1. ║u-z║
<-1 - 3> = <-4 and < -3 - 1> = <-4
║<-4,-4> ║= √{ -4²+-4²} = √32 = 5.66
2.║v-w║
<5,-8> - <5,-2>
<5-5> , <-8--2>
<0,-6>
║<0,-6>║= √{0²+ -6²} = √36 = 6
3. ║w-u║
<5,-2> - <-1,-3>
<5--1> , <-2--3>
<6,1>
║6,1║= √{6²+1²} = √36+1 = √37 = 6.08
4.║v-u║
<5,-8> - <-1,-3>
<5--1> , <-8--3>
< 6 , -5 >
║6,-5║= √{6²+-5²} = √36+25 =√61 = 7.81
Answer:
Step-by-step explanation:
what is the volume of the regular pyramid below?
The volume of the regular pyramid is 128 unit³.
Option D) 128 unit³ is the correct answer.
This question is incomplete, the missing image is uploaded along this answer below.
What is the volume of the regular pyramid?The volume of pyramid is expressed as;
V = ( 1/3 ) × l × w × h
Given that;
Length l = 8Width W = 8Height h = 6We substitute our given values into the equation above.
V = ( 1/3 ) × 8 × 8 × 6
V = 128 unit³
The volume of the regular pyramid is 128 unit³.
Option D) 128 unit³ is the correct answer.
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Which answer choice correctly represents the quotient of 28,134 divided by 71?
A.
B.
C.
D.
Answer:
please give brainliest
Step-by-step explanation:
396.253521127
Can you help I’ll mark brainliest
Answer:
\(7\sqrt{3}\)
Step-by-step explanation:
Since this is a 30-60-90 triangle, we know that the sides have the following characteristic:
The side opposite to 30 degree angle: n
The side opposite to 60 degree angle: \(n\sqrt{3}\)
The side opposite to 90 degree angle: 2n
Since we know that 7 is opposite to 30-degree, and x is opposite to 60 degree, than we know that x = \(7\sqrt{3}\)
Select True for all cases, True for some cases, or not True for any cases
Two lines that have the same slope lie on top of each other and have all their points in common
Two lines that have different slopes will not intersect
Two lines that have different y intercepts intersect at exactly one point
Two lines that have the same slope and different y intercepts will not intersect
Step-by-step explanation:
true for some cases (only some lines with the same slope lie on top of each other, others are parallel and completely separate).
not true in any case (if their slopes are different, they WILL intersect).
true for some cases (parallel lines that are not identical have different y-intercepts but never intersect each other).
true for all cases (the same slope but different y-intercepts means they are parallel and truly separate and are therefore never intersecting each other).
Let |A| = d e f = 2 and B = Ig h il a d-29 e-2h f-2i За 3b 3c I-a +4g -b +4h -C + 4i) (A) Without using direct computations, find |Bl. (solution) (B) Find 2AB|
(A) The absolute value of the matrix B is 24. (B) The product of 2AB and the absolute value of matrix A is 288.
The question requires finding the absolute value of matrix B without using direct computations and calculating the product of 2AB and the absolute value of matrix A. The absolute value of a matrix is calculated by taking the square root of the sum of squares of each entry of the matrix.B = Ig h il a d-29 e-2h f-2i За 3b 3c I-a +4g -b +4h -C + 4iThe square of each entry in matrix B is obtained by multiplying the entry by itself. For example, (a^2) = a x a. To find the absolute value of B, the sum of the squares of all entries in the matrix is computed and then square rooted.The absolute value of matrix B is |B| = √[ (Ig)^2 + h^2 + i^2 + (a - 2d)^2 + (e - 2h)^2 + (f - 2i)^2 + 3b^2 + 3c^2 + (-a + 4g - b + 4h - c + 4i)^2] = √[ 16 + 4h^2 + 4i^2 + 4d^2 - 4ad + 4e^2 - 8ae + 4f^2 - 8fi + 9b^2 + 9c^2 - 8ag - 8bh - 8ci + 16g^2 + 16h^2 + 16i^2] = √[ 49b^2 + 49c^2 + 4(a - 2d)^2 + 4(e - 2h)^2 + 4(f - 2i)^2 + 4d^2 + 4e^2 + 4f^2 + 16g^2 + 36h^2 + 16i^2] = 24.The product of 2AB and the absolute value of matrix A is obtained by first calculating the product 2AB and then multiplying it by the absolute value of matrix A.2AB = 2 x (A x B) = 2 x [(Ig - 2h + i) (a - 2d) + (-2g - 2h + 2i) (e - 2h) + (3b + 3c) (f - 2i) + (-a + 4g - b + 4h - c + 4i) (I-a +4g -b +4h -C + 4i)] = [(-2d - 6h + 2i) (a - 2d) + (-4g - 4h + 4i) (e - 2h) + 9(f - 2i) (3b + 3c) + (16g^2 - 2ag - 2bg - 2cg - 2ah - 2bh - 2ch + 16h^2 - 2ai - 2bi - 2ci - 2ai + 16i^2 - 2bi - 2ci - 2ci + 16i^2)] |A| = 2.(2AB|A|) = 2 x [(-2d - 6h + 2i) (a - 2d) + (-4g - 4h + 4i) (e - 2h) + 9(f - 2i) (3b + 3c) + (16g^2 - 2ag - 2bg - 2cg - 2ah - 2bh - 2ch + 16h^2 - 2ai - 2bi - 2ci - 2ai + 16i^2 - 2bi - 2ci - 2ci + 16i^2)] x 2 = 576. Therefore, the product of 2AB and the absolute value of matrix A is 576.
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Solve the following
a.
Ann and Ben divide £60 between them in the ratio 3 : 5
How much do they each get?
Find a point-slope form for the line with slope 1/5 and passing through the point (-4,-7)
The equation of the line in point-slope form is what?
The equation of the line is y + 7 = 1/5(x + 4)
What are linear equations?Linear equations are equations that have constant average rates of change.
How to determine the equation of the line?The given parameters are
Slope, m = 1/5
Point (x, y) = (-4, -7)
A linear equation is represented as
y = m(x - x₁) + y₁
Where
Slope, m = 1/5
(x, y) = (-4, -7)
Substitute the known values in the above equation
So, we have the following equation
y = 1/5(x + 4) - 7
Add 7 to both sides
So, we have
y + 7 = 1/5(x + 4)
Hence. the linear equation is y + 7 = 1/5(x + 4)
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Which expression is equivalent to √900f^6/100g^4
Answer:
A
Step-by-step explanation:
c and d cannot be since the answer to sqrt((900f^6)/(100g^4)) is 3f³/g²
and not 30f something.
the best answer I see is correct is a.
help i am struggling
Answer: it's D
Step-by-step explanation:
all you need is in the photo
please step by step
Answer:
15 pieces of chocolate 7.5 s'mores
Step-by-step explanation:
you multiply 15 and 5 and you find the answer is 7.5
ii. if per capita income in a country increases by 20%, by how much is dem ind predicted to increase? what is a 95% confidence interval for the prediction? is the predicted increase in dem ind large or small? (explain what you mean by large or small.)
The t-distribution with n-2 degrees of freedom to find the t-value for the 95% confidence level.
Let's denote the per capita income by X and dem ind by Y.
If we assume a linear relationship between X and Y, we can use simple linear regression to estimate the slope and intercept of the line that best fits the data.
The slope of the line represents the change in Y for a one-unit increase in X, and the intercept represents the value of Y when X is zero.
Once we have estimated the slope and intercept of the line, we can use them to predict the increase in dem ind for a 20% increase in per capita income.
If we denote the predicted increase in dem ind by ΔY, we can use the following formula:
ΔY = b * 0.2,
Where b is the slope of the regression line.
To calculate the 95% confidence interval for the prediction, we need to estimate the standard error of the estimate (SE) and the t-value for the 95% confidence level.
Assuming the errors are normally distributed, we can use the following formula to calculate SE:
The t-distribution with n-2 degrees of freedom to find the t-value for the 95% confidence level.
We can then calculate the margin of error as t-value * SE, and construct the confidence interval as:
[ΔY - ME, ΔY + ME]
Where ME is the margin of error.
The predicted increase in dem ind is considered large or small depending on the context of the problem and the magnitude of the increase relative to the scale of the dem ind.
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In the following descriptions of a study, confounding is present. Describe the explanatory and confounding variable in the study and how the confounding may invalidate the conclusions of the study. Furthermore, suggest how you would change the study to eliminate the effect of the confounding variable.
a. A prospective study is conducted to study the relationship between incidence of lung cancer and level of alcohol drinking. The drinking status of 5,000 subjects is determined, and the health of the subjects is then followed for 10 years. The results are given below.
Lung Cancer
Drinking status Yes No Total
Heavy drinker 50 2150 2200
Light drinker 30 2770 2800
Total 80 4920 5000
b. A study was conducted to examine the possible relationship between coronary disease and obesity. The study found that the proportion of obese persons having developed coronary disease was much higher than the proportion of nonobese persons. A medical researcher states that the population of obese persons generally have higher incidences of hypertension and diabetes than the population of nonobese persons.
Confounding may invalidate the conclusions of the study as it can cause a bias that can make the effect of the explanatory variable look larger or smaller than it actually is.
This means that the relationship between alcohol drinking status and incidence of lung cancer is influenced by After the classification of smokers and non-smokers, a separate analysis can be done to find the effect of alcohol drinking on lung cancer in both groups.
Explanatory and Confounding Variable in the study :In the given study, the explanatory variable is obesity and the response variable is coronary disease. Whereas, the confounding variable is hypertension and diabetes because these diseases are associated with obesity. The confounding variable can invalidate the conclusions of the study as it can affect the relationship between obesity and coronary disease .To eliminate the effect of the confounding variable, the study can be changed in the following ways.
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Write the product using exponents.
An exponent is the number of times something is multiplied by itself
Answer: (1/5)^2 * x^3
solve: 4/3 - 11 = 25
find and sketch the domain of the function. f(x,y)= sqrt (y) + sqrt [25-(x^2)-(y^2)]
The domain of the function is a semicircle with a radius of 5 and centered at the origin, where y is non-negative.
The domain of a function is the set of all possible input values for which the function is defined. In this case, the function is defined as:
\(f(x,y) = \sqrt{y} + \sqrt{[25 - x^2 - y^2} ]\)
To find the domain of this function, we need to determine the values of x and y that would result in the function producing a real-valued output.
For the square root of y to be real, y must be non-negative. That is, y ≥ 0.
For the square root of [\(25 - x^2 - y^2\)] to be real, we must have:
\(25 - x^2 - y^2 \geq 0\\x^2 + y^2 \leq 25\)
This is the equation of a circle with radius 5 centered at the origin. Therefore, the domain of the function is the set of all points (x, y) that lie inside or on this circle and have y ≥ 0.
In interval notation, we can write:
Domain: {(x, y) |\(x^2 + y^2 \leq 25, y \geq 0\)}
To sketch the domain, we can plot the circle with radius 5 centered at the origin and shade the region above the x-axis. This represents all the valid input values for the function. The boundary of the domain is the circle, and the domain includes all points inside the circle and on the circle itself, but not outside the circle.
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List the first 4 terms of a geometric sequence with a first term of 2 and a common ratio of 5? I'm really struggling... there is one similar for the next question too. It's the same, but the first term is 4 and the common ratio is 4. Thanks for the help
In general, a geometric sequence with first term a and common ratio r has terms a, ar, ar², ar³, etc.
First geometric sequence: 2, 10, 50, 250
Second geometric sequence: 4, 16, 64, 256
i hope this helped! :D
the fee for ride tickets at a carnival is shown in the table at the right.
b. can you determine the fee of 30 ride tickets? explain.
The fee for 30 ride tickets is 24.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Fee for ride tickets at a carnival is shown in the table at the right.
5 tickets=5 fee
10 tickets=9.50 fee
15 tickets=13.50 fee
20 tickets=16 fee
We need to find the fee for 30 tickets.
Let x be the fee for 30 tickets
20/16=30/x
Apply cross multiplication
20x=480
Divide both sides by 20
x=24
Hence, the fee for 30 ride tickets is 24.
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PLEASE HELP PLEASE EMERGENCY
Answer:First one is first step. 2 is Last step. 3 is fourth step. 4 is second step. 5 is Third step
Step-by-step explanation:
I went down the column
John picks 12 lb of peaches. He divides the peaches between himself, his grandmother, and his neighbor in a ratio of 1:1:2, respectively. How many pounds of peaches does each person get?
Answer:
himself: grandmother: neighbor: total
3 3 6 12
Step-by-step explanation:
himself: grandmother: neighbor: total
1 1 2 4
The total lbs is 12
12/4 = 3
Multiply each by 3
himself: grandmother: neighbor: total
1*3 1*3 2*3 4*3
3 3 6 12
ten randomly selected people were asked how long they slept at night. the mean time was 7.1 hours and the standard deviation was 0.78 hour. find 95% confidence interval of the mean time
If the mean time randomly selected people is 7.1 hours and standard deviation is 0.78 hours , then the 95% confidence interval is (6.5, 7.7)
Number of people randomly selected is (n) = 10
So, the degree of freedom (df) = n - 1 = 10 - 1 = 9
The value of \(t_{\frac{\alpha }{2} }\) is 2.262
The mean is (x) = 7.1 hours
The standard deviation is (s) = 0.78
So , the 95% confidence interval can be calculated by
[x - \(t_{\frac{\alpha }{2} }\)(s/√n) , x + \(t_{\frac{\alpha }{2} }\)(s/√n)]
= [7.1 - 2.262×(0.78/√10) , 7.1 + 2.262×(0.78/√10)]
= ( 7.1 - 0.56 , 7.1 \(+\) 0.56 )
= (6.5 , 7.7)
Therefore , the 95% confidence interval is (6.5 , 7.7)
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which of the following basic functions is equivalent to the piecewise-defined function f(x)= x if x≥0 −x if x<0 ? question content area bottom part 1 a. f(x)= 1 x b. f(x)=x c. f(x)=x2 d.
The basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.
The given piecewise-defined function f(x) has different expressions for different intervals. For x greater than or equal to zero, f(x) takes the value of x. For x less than zero, f(x) is equal to -x. We need to find a basic function that captures this behavior.
Among the options provided, f(x) = |x| is equivalent to the given piecewise function. The absolute value function, denoted by |x|, returns the positive value of x regardless of its sign. When x is non-negative, |x| equals x, and when x is negative, |x| is equal to -x, mirroring the conditions of the piecewise-defined function.
The function f(x) = |x| represents the absolute value of x and matches the behavior of the given piecewise-defined function, making it the equivalent basic function.
In summary, the basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.
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A bag of flour weighs 2.5 kilograms.
About how much does the bag weigh in pounds ?
Round to the nearest tenth
I'll give you 55 points
Answer:
5.5 pounds
Explanation:
weight in kg = 2.5 kilograms
conversion:
1 kg ↔ 2.205 pounds
solve:
2.5 kilograms = (2.5 * 2.205)2.5 kilograms = 5.511557 pounds2.5 kilograms = 5.5 pounds ( rounded to nearest tenth )Answer:
5.5 pounds (nearest tenth)
Step-by-step explanation:
1 kilogram = 2.20462262 pounds
To determine how many pounds are in 2.5 kg, multiply by 2.5:
⇒ 2.5 kilograms = 2.20462262 × 2.5
= 5.5 pounds (nearest tenth)
What's 64/4 in the simplest form
Answer:
16
Step-by-step explanation:
64 divided by 4 is equal to 16.
A tile factory earns money by charging a flat fee for delivery and a sales price of $0. 25 per tile. One customer paid a total of $3,000 for 10,000 tiles. The equation y – 3,000 = 0. 25(x – 10,000) models the revenue of the tile factory, where x is the number of tiles and y is the total cost to the customer. Which function describes the revenue of the tile factory in terms of tiles sold? What is the flat fee for delivery? $.
To describe the revenue of the tile factory in terms of tiles sold, we need to rearrange the given equation:
y - 3,000 = 0.25(x - 10,000)
First, let's distribute the 0.25 to both terms in the parentheses:
y - 3,000 = 0.25x - 2,500
Next, let's isolate y by adding 3,000 to both sides:
y = 0.25x - 2,500 + 3,000
Simplifying the expression:
y = 0.25x + 500
Therefore, the function that describes the revenue of the tile factory in terms of tiles sold is:
Revenue (y) = 0.25 * Tiles sold (x) + $500
From the equation, we can see that the flat fee for delivery is $500, as it is the constant term in the equation.
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) Kadence has $50 in her bank account. Then, she bought a new shirt that cost $33. She then deposited x dollars into her account to bring her balance to $28. What is the value of x?
Answer:
The value of X is $5
Step-by-step explanation:
Step-by-step explanation:
We have $50 - $33 + $x = $28.
=> $17 + $x = $28
=> $x = $11
Therefore Kadence deposited $11 into her account.
The value of x is 11.
Can someone help please
Answer:
sorry i dont know
Step-by-step explanation:
Answer:
Sorry for the long wait i was taking my cumulative exam for precal and it took a bit but i hope im correct. My brain is fried and dont know if i even came close.