Step-by-step explanation:
To find the angle between a line and the x-axis, we need to calculate the slope of the line first. The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:
m = (y₂ - y₁) / (x₂ - x₁)
Using the points (-2, 2) and (8, 9), we can substitute the values into the formula:
m = (9 - 2) / (8 - (-2))
= 7 / 10
= 0.7
The slope of the line is 0.7. The angle between the line and the x-axis can be found using the inverse tangent (arctan) function. The tangent of an angle is equal to the slope of the line, so we can write:
tan(θ) = 0.7
Taking the inverse tangent of both sides, we find:
θ = arctan(0.7)
Using a calculator, we can evaluate this to be approximately:
θ ≈ 35.87 degrees
Therefore, the angle between the line and the x-axis is approximately 35.87 degrees.
Please answer asap! Do NOT give me a random gibberish answer or else I will report you and give you a low rating!
Also, if your not sure of the answer just type it in the comments..
DISTRIBUTIVE PROPERTY
QUESTION:
Solve
2 - ( -x + 5)
Just tell me What number(s) are being distributed, what the 0expression is when its distributed, the expression when it is combined in "like" terms, and give me the final answer for the expression.
Just look at the picture I attached below.
This is the format I am supposed to use to answer this expression:
I do appreciate the help.
Answer:
-1
Step-by-step explanation:
since the negative sign is directly next to the parentheses it will switch all the values in between the parentheses.
-1(-x+5) = (x-5)
What are the solution(s) to the quadratic equation 9x² = 4?
Answer:
x = 2/3, -2/3
Step-by-step explanation:
To solve the quadratic equation 9x² = 4, we can use the following steps:
Move the constant term to the right-hand side of the equation:
9x² = 4 => 9x² - 4 = 0
Factor the quadratic expression on the left-hand side of the equation:
9x² - 4 = (3x - 2)(3x + 2)
Set each factor equal to zero and solve for x:
3x - 2 = 0 => x = 2/3
3x + 2 = 0 => x = -2/3
Answer:
See attached
Step-by-step explanation:
Consider l = 0.1 minute, m = 1.0 minute, w = 2.0 minute,
operator is paid $ 50/hr, machine costs $ 150/hr. What is a better
option: a) increase machines ; b) add additional workers; or c) add
machines
Adding additional workers is the better option in this scenario. To determine the better option between increasing machines or adding additional workers, we need to consider the efficiency and cost factors. Correct option is B).
Given that the operator is paid $50 per hour and the machine costs $150 per hour, we can calculate the cost per minute as $0.83 for the operator and $2.50 for the machine.
Considering the time requirements, l = 0.1 minute, m = 1.0 minute, and w = 2.0 minutes, we can analyze the options:
a) Increasing machines: The machine cost per minute is higher than the operator cost per minute, which means adding more machines will increase the overall cost.
b) Adding additional workers: Since the operator cost per minute is lower than the machine cost per minute, adding more workers will be a more cost-effective option. It will help reduce the overall cost while maintaining the required productivity.
c) Adding machines and workers: In this scenario, adding both machines and workers would not be the best option, as it would incur higher costs compared to just adding workers.
Therefore, based on cost-effectiveness, adding additional workers would be the better option in this situation. It allows for efficient resource utilization and helps minimize expenses without compromising productivity.
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What expression is equivalent of 18 1/5 -{-22 2/5} - {-40 1/5}
Step-by-step explanation:
404/5 us the correct answer
3x + 5 - x = 9x - 7 + 12
Answer:Combine like terms
3
+
5
−
=
9
−
7
+
1
2
{\color{#c92786}{3x}}+5{\color{#c92786}{-x}}=9x-7+12
3x+5−x=9x−7+12
2
+
5
=
9
−
7
+
1
2
{\color{#c92786}{2x}}+5=9x-7+12
2x+5=9x−7+12
2
Add the numbers
3
Subtract the same term from both sides of the equation
4
Simplify
5
Subtract the same term from both sides of the equation
6
Simplify
7
Divide both sides of the equation by the same term
8
Simplify
HOPE THIS HELPS :)
Step-by-step explanation:
Jayne stopped to get gas before going on a road trip. The tank already had 4 gallons of gas in it. Which equation relates the total amount of gasoline in the tank, y, to the number of gallons that she put in the tank, x?
The equation y = 4 + x relates the total Amount of gasoline in the tank, y, to the number of gallons Jayne put in the tank, x.
The equation that relates the total amount of gasoline in the tank, y, to the number of gallons that Jayne put in the tank, x, can be derived based on the given information.
Since Jayne already had 4 gallons of gas in the tank, the total amount of gasoline in the tank, y, would be the sum of the initial amount (4 gallons) and the amount Jayne put in, x.
Therefore, the equation that relates y to x can be written as:
y = 4 + x
In this equation, y represents the total amount of gasoline in the tank (in gallons) and x represents the number of gallons that Jayne put in the tank.
By adding the initial amount of gas (4 gallons) to the amount she put in (x gallons), we get the total amount of gasoline in the tank.
For example, if Jayne puts 10 gallons of gas in the tank, the equation would be:
y = 4 + 10
Simplifying this equation, we find that y = 14, meaning there would be a total of 14 gallons of gas in the tank.
In summary, the equation y = 4 + x relates the total amount of gasoline in the tank, y, to the number of gallons Jayne put in the tank, x.
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Calculate the bearing of Y from X.
Z
N
167°
•Y
Not drawn accurately
Analyze the graph shown and explain/extract as much details as
you can from it.
I'm sorry, but as a text-based AI model, I don't have the ability to analyze or visualize graphs directly. If you can provide a textual description or specific details about the graph, I would be happy to help you analyze and extract information from it.
688 divided by 31 Think central
Answer: 22.19354838709677
Step-by-step explanation:
688 divided by 31 is 22.19354838709677
The nth term of a series is represented by an=2^n/5^n+1 ⋅n . George correctly applies the ratio test to determine whether the series converges or diverges. Which statement reflects George's conclusion? From the ratio test, r = 0.4. The series diverges.
From the ratio test, r = 0.4. The series converges.
From the ratio test, r = 4. The series converges.
From the ratio test, r = 4. The series diverges.
Therefore, the correct statement reflecting George's conclusion is "From the ratio test, r = 0.4. The series converges."
The nth term of a series is represented by an=2^n/5^n+1 ⋅n.
George correctly applies the ratio test to determine whether the series converges or diverges.
The ratio test is a method used to check whether a series converges or diverges. The ratio test compares the nth term of a series to the (n + 1)th term of the series.
The ratio test can be applied to series with non-negative terms. From the given series, The nth term of a series is given by an=2^n/5^n+1 ⋅n By applying the ratio test, we get; an+1/an = [2^(n+1)/(5^(n+1) + 1)*(n + 1)] / [2^n / (5^n + 1)*n] an+1/an = [2^(n+1)*n / (5^(n+1) + 1)*n+1] * [(5^n + 1)*n / 2^n] an+1/an = (2n / (5n + 1)) * (5n + 1) / 2an+1/an = n / 5n + 1 Therefore, we have r = lim n→∞ | an+1/an |= lim n→∞ |n/5n+1| = 1/5 < 1 From the ratio test, r = 1/5. Since r < 1, the series converges.
Therefore, the correct statement reflecting George's conclusion is "From the ratio test, r = 0.4. The series converges."
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The book fair had a sale where 6 books were $20.46. If you wanted to buy 7 books, how much money would you need?
Answer:
You would need $23.87 if you wanted to by 7 books
Step-by-step explanation:
divide 6 by 20.46 and you get $3.41 so multiply $3.41 by 7 and you end up with $23.87.
12x - 10 = 5x + 7x - 15 + 5
Answer:
infinitely many solutions
Step-by-step explanation:
12x-10=12x-10
12x=12x
x=x
It's your birthday and you are going to the mall, but you need money. Your mom gives you at least $50. If x represents the amount of money your mom gives you, write the inequality that describes this situation.
Answer:
0+x=50
Step-by-step explanation:
you started with no money which is 0 and your mom gives you $50 which is represented by x, this could be shown as 0+x and now that you have 50 bucks it would be 0+x=50
Answer:
0+×=50
Step-by-step explanation:
if your mom gives you 50 and you started with 0 then x represents 50.
Match each multiplication problem with the answer
Given the specified matrix multiplication, the appropriate match is:
1 => D2 => C3 => A4 => BWhat are the matrices?Rows and columns of numbers are arranged in a matrix. Learn the basics of matrices, including their dimensions and components. A rectangular matrix is a grouping of numbers into rows and columns.
Given Four multiplication of matrices
from the Properties of multiplication of matrices:
Commutativity is not true: AB ≠ BA.Zero matrices on multiplication. If AB = O, then A ≠ O, B ≠ O is possible.Associative law: (AB) C = A (BC)Distributive law: A (B + C) = AB + AC. (A + B) C = AC + BC.Thus, we can say that if we multiply a constant with a matrix or a scalar quantity with the matrix it will automatically multiply with each element of the matrix
[tex]3*\left[\begin{array}{ccc}1&2\\3&4\end{array}\right][/tex]
=> [tex]\left[\begin{array}{ccc}1*3&2*3\\3*3&4*3\end{array}\right][/tex]
=> [tex]\left[\begin{array}{ccc}3&6\\9&12\end{array}\right][/tex]
Therefore, the correct match for the given matrix multiplication is:
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Describe the region enclosed by the circle x2 +y -16x in polar coordinates. (Type an exact answer, using t as needed.)
The region enclosed by the circle x² + y - 16x in polar coordinates is the entire plane except for the origin. To describe the region enclosed by the circle in polar coordinates, we can rewrite the equation of the circle as follows; x² + y - 16x = 0x² + y
x² + y - 16x = 0x² + y
= 16x
Now, we need to convert the equation to polar coordinates;
r²cos²θ + rsinθ - 16rcosθ = 0r(cos²θ - 16cosθ) + rsinθ
= 0r(cos²θ - 16cosθ + 64)
= 64r = 64/(cos²θ - 16cosθ + 64)
We know that cos²θ - 2cosθcosθ + 1 + sin²θ = 1
Therefore, cos²θ - 2cosθ + 1 + sin²θ = 1cos²θ + sin²θ - 2cosθ + 1
= 2(1 - cosθ)²
= 4sin²(θ/2)²
Let's substitute into the equation of r above;
r = 64/(cos²θ - 16cosθ + 64)
= 64/(64sin²(θ/2)²)
= 1/sin²(θ/2)²
Since the sine function is always nonnegative, r is defined for all values of θ. Also, r > 0.The region enclosed by the circle in polar coordinates is the entire plane except for the origin.
We have shown that r is always positive, which means that the circle never passes through the origin. Therefore, the region enclosed by the circle in polar coordinates is the long answer: entire plane except for the origin.
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Help me whit those 2 questions please I just don't understand
Using algebra:
(7). The angle of the largest sector is equal 216°
(8).The cost of milk assuming the cylinderical cup is filled will be approximately 6 euros.
How to solve for the largest sector and the cost using algebra(7). Given that the probability of spinning sector 1 is 10 implies that the angle of sector 1 is 360/10 = 36°
let x be angle of sector 3 so that angle of sector 2 is 2x, then the angle of the largest sector of the wheel of Fortune can be calculated as follows:
x + 2x + 36° = 360°
3x + 36 = 360°
3x = 360° - 36°
3x = 324°
x = 324°/3
x = 108°
largest sector 2 = 2(108) = 216°
(7). Volume of cylinderical cup = 22/7 × (7cm)² × 30cm
Volume of cylinderical cup = 4620cm³
1.5litres = 1500cm³
4620cm/4615.8cm = 3.08
amount in euros that will fill the cup = 3.08 × 1.9
amount in euros that will fill the cup = 6.006
Therefore, using algebra, the angle of the largest sector is equal 216° and the cost of milk assuming the cylinderical cup is filled will be approximately 6 euros.
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write a equation to represent the image
Step-by-step explanation:
kkkklllllkk hiiiiii8iiiiiii
SOMEONE PLEASE HELP ME WITH THIS MATH IM STRUGGLING!
Answer:
I think 58'is right answer
2. Mr. Spongebob told me that the measure of the angle below is 145 degrees. Is his answer correct? If not, explain your reasoning and write the correct measure of the angle.
Answer:
no
Step-by-step explanation:
the arrow is between 140 and 130 so it will be 135. If it was between 140 and 150 then it could be 145 degrees.
What's this answer???
Answer:
AB is parallel to AC
Step-by-step explanation:
AB is opposed to AC
Which value of y makes the equation 2(y−8)=14 true?
Answer
Step-by-step explanation:
só love só lovesó love só lovesó love só só love só lovessó love só lovesó love só loveó love só lovelovesó love só love
Answer:
when y =15
Step-by-step explanation:
2(y-8)=14
2y-16=14 (add 16 to both sides)
2y=30 (divide both sides by 2)
y=15
Which best describes the composition of transformations that maps ΔLMN to ΔL′M′N′?
Answer: (D2 ∘ Rx-axis)(ΔLMN)
Step-by-step explanation:
its this because it’s the only reasonable answer. The other answers are fractions so that would make the shape smaller not bigger
Find the distance between points(-9,2) and (5,-4) round to the nearest tenth
Answer:
14 squars I think
Step-by-step explanation:
I kind of graphed it real quick unsure if correct
2 Jack and Tim are racing remote-controlled cars. Jack's car travels 3.5 feet
per second, while Tim's car travels 5.25 feet per second. Because Jack's car
is slower, Tim gave Jack a 10-foot head start. Which inequality could be
used to determine after how many seconds, s, Tim's car will be ahead of jacks car?
Jack's car?
F3.5s > 5.25s + 10
G
3.5s + 10 > 5.25s
H
5.25s > 3.55 + 10
3.5+
J
3.5s - 10 < 5.25s
Answer:
its 99
Step-by-step explanation:
The lines represented by the equations y = x + 7 and 3y – 5x = 3 are what type of line
Answer:
What do you mean? Do you have a pic?
Step-by-step explanation:
???
the volume of water in a reservoir decreases 21,000 cubic yards over a 3-month period. what is the average change in volume per month?
The average change in volume per month when the volume of water in a reservoir decreases 21,000 cubic yards over a 3-month period is 7,000 cubic yards.
The question asks for the average change in volume per month when the volume of water in a reservoir decreases 21,000 cubic yards over a 3-month period. In order to calculate the average change in volume per month, we can divide the total change in volume by the number of months involved. This gives us an average rate of change per month. Therefore, to find the average change in volume per month when the volume of water in a reservoir decreases 21,000 cubic yards over a 3-month period, we can divide the total change in volume (21,000 cubic yards) by the number of months (3 months).21,000/3 = 7,000
Therefore, the average change in volume per month is 7,000 cubic yards.
The average change in volume per month when the volume of water in a reservoir decreases 21,000 cubic yards over a 3-month period is 7,000 cubic yards.
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Which binomial is a factor of the polynomial?
x2 + 5x − 36
A) (x + 6)
B) (x + 9)
C) (x + 5)
D) (x + 12)
Answer:
C
Step-by-step explanation:
Given
x² + 5x - 36
Consider the factors of the constant term (- 36) which sum to give the coefficient of the x- term (+ 5)
The factors are + 9 and - 4 , since
9 × - 4 = - 36 and 9 - 4 = + 5, thus
x² + 5x - 36 = (x + 9)(x - 4)
Thus (x + 9) is a factor
binge drinking in a recent national survey of drug use and health, 2312 of 5914 randomly selected full-time u.s. college students were classified as binge drinkers.13
Binge drinking refers to the consumption of a large amount of alcohol in a short period of time with the intention of getting intoxicated. In a recent national survey of drug use and health, 2312 of 5914 randomly selected full-time U.S. college students were classified as binge drinkers.
This implies that roughly 39.1% of full-time college students were binge drinkers, according to the statistics provided.In conclusion, binge drinking is a significant problem among full-time U.S. college students. It is important to educate college students about the dangers of excessive alcohol consumption, and to provide resources and support for those who may be struggling with alcohol abuse.
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Determine the dependent variable in the following sentence: Joe will be saving money over the summer by mowing lawns. Joe will receive $20 dollars per lawn.
A. Money
B. Number of lawns
Answer:
Number of lawns
Step-by-step explanation:
I chose number of lawns because depending on how many lawns he mows is how much money he will get
Answer:
A, the money
Step-by-step explanation:
As Joe mows lawns, the amount of money he gets is being increased, meaning its changing, therefore its dependent of how many lawns are mowed.
Using a 2-year moving average, the forecast for year 6=3775 miles (round your response to the nearest whole number). b) If a 2-year moving average is used to make the forecast, the MAD based on this = miles (round your response to one decimal place). (Hint: You will have only 3 yea of matched data.)
The 2-year moving average is one of the most commonly used forecasting techniques, especially for time-series data, which tends to fluctuate frequently. The moving average formula is used to determine the average value of a particular data set. A moving average of order n (MA(n)) is the average of n preceding values.
In forecasting, the 2-year moving average formula can be used to forecast a particular year based on the two preceding years' data. The 2-year moving average formula is as follows:MA(2) = (Yt-1 + Yt-2) / 2Therefore, if the forecast for year 6 using a 2-year moving average is 3775 miles, it means that the 2-year moving average of the data used to calculate this value is equal to 3775. The formula for calculating the mean absolute deviation (MAD) is as follows:MAD = Σ |F - A| / nWhere:F = forecasted valueA = actual valueN = number of observationsTherefore, if we use the 2-year moving average to make the forecast, the MAD will be calculated as follows:MAD = |3775 - Y5| + |3775 - Y4| + |3380 - Y3| / 3. To calculate the 2-year moving average, we need to use the data from the two preceding years. Therefore, to calculate the forecast for year 6, we need to use the data from year 4 and year 5. If we assume that the data for year 4, year 5, and year 6 are 3200 miles, 3400 miles, and 3770 miles, respectively, then we can calculate the 2-year moving average as follows:MA(2) = (Yt-1 + Yt-2) / 2MA(2) = (3400 + 3200) / 2MA(2) = 3300 milesTherefore, the forecast for year 6 using the 2-year moving average is 3300 miles. However, the question states that we should round our response to the nearest whole number. Therefore, the forecast for year 6 using the 2-year moving average is 3300 miles.To calculate the MAD based on this forecast, we need to use the actual data for the years that we used to calculate the forecast. Therefore, if the actual data for year 4, year 5, and year 6 are 3200 miles, 3400 miles, and 3770 miles, respectively, then we can calculate the MAD as follows:MAD = Σ |F - A| / nMAD = |3775 - 3770| + |3775 - 3400| + |3300 - 3200| / 3MAD = 1.7Therefore, the MAD based on this forecast is 1.7 miles. However, the question states that we should round our response to one decimal place. Therefore, the MAD based on this forecast is 1.7 miles.
Conclusion:In conclusion, the 2-year moving average is a useful forecasting technique for time-series data. It helps to smooth out the fluctuations in the data and provide a more accurate forecast. The formula for calculating the 2-year moving average is straightforward, and it requires only two preceding years' data. The MAD is another useful metric that helps to measure the accuracy of the forecast. It calculates the absolute difference between the forecasted value and the actual value and provides a measure of how far the forecast is from the actual value. Therefore, it is essential to calculate the MAD to assess the accuracy of the forecast.
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