The equation for line q can be written as y=x-1. Line ris perpendicular to line q and
passes through (8, -7). What is the equation of line r?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.
Answers
Step-by-step explanation:
The slope of line q is 1 since the coefficient of x is 1. Since line r is perpendicular to line q, its slope will be the negative reciprocal of the slope of line q. Thus, the slope of line r will be -1.
Now we can use the point-slope form of the equation of a line to find the equation of line r. We know that line r passes through the point (8, -7), so we can write: y - (-7) = -1(x - 8)
Simplifying this equation, we get: y + 7 = -x + 8
Subtracting 7 from both sides, we get: y = -x + 1
So the equation of line r in slope-intercept form is y = -x + 1. The coefficients of x and the constant term are already integers, so we don't need to simplify them further.....
Related Questions
osh wants to make a set of 12 ceramic cups. He figures he'll need 0.75 of a pound of clay for each cup. How many pounds of clay does Josh need in all?
Answers
Answer:
9lbs
Step-by-step explanation:
12*.75=9
How many tiles are in the 25th figure in this pattern? Show a table of values with a process column.
Answers
52 tiles are there in the 25th figure in this pattern.
What is a pattern?A pattern is described as a series of recurring symbols, figures, or numbers. Any form of event or object can be related to a pattern.
A pattern has a rule that specifies which items fall within the pattern's umbrella and which do not.
A pattern in mathematics is a recurring arrangement of numbers, forms, colors, and other elements.
Any kind of event or object can be connected to the Pattern.
A pattern is referred to as a rule or a way in which a group of numbers is related to one another.
Sometimes a pattern is also referred to as a sequence.
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help will be helpful thank you
Answers
Answer:
a. 9+15+12=34ft
b.10×2+40×2=100cm
Step-by-step explanation:
For A add all the numbers and for B add 10 twice and 40 twice because there arent any numbers there.
area of the triangle ABC
Answers
Answer:
180
Step-by-step explanation:
hope this answer be right :)
And artist wants to frame a square painting the area of the painting is X to second power -10 X -39 in.² and the frame is 3 inches wide and all size ruined expression for the total area of the frame painting in terms of x
Answers
Answer:
2345679
Step-by-step explanation:
a defunct website listed the​ average annual income for florida as​ $35,031. what is the role of the term average in​ statistics? should another term be used in place of​ average?
Answers
The term "average" in statistics refers to a measure that summarizes the central tendency of a data set. Another term that could be used in place of "average" is "mean. Average plays a crucial role in statistics as it provides a summary measure of central tendency.
The term "average" in statistics refers to a measure that represents the central tendency of a data set. It is commonly used to summarize and describe the typical value or typical level of a particular variable within a population or sample.
The role of the term "average" is to provide a single value that represents the collective information of the data set. It helps in simplifying and summarizing complex data by providing a measure that is representative of the entire distribution. It allows for comparisons, analysis, and inference based on a single value rather than considering each individual data point.
However, it's important to note that depending on the context and the nature of the data, alternative measures of central tendency may be more appropriate than the "average." For example, if the data set contains outliers or is heavily skewed, the median or mode might be better indicators of the typical value.
In summary, the term "average" plays a crucial role in statistics as it provides a summary measure of central tendency. However, it is important to consider the specific characteristics of the data set and potentially use alternative measures when necessary.
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a) Find the HCF of 96,120,144
Answers
Answer:
The HCF of 96,120,144 is
Step-by-step explanation:
HCF means Highest common factor. The factor should be common among all.
In 120 the common factor is 3
120=23*3*5
In 96 the common factor is 3.
96=5*5*3
In 144 the common factor is 3.
144= 2*2*2*2*2*2*3
s0, the HCF is 3.
Use Matlab to plot the function f(x) = - 4x² + sin(5x) and its derivative on the same plot for x between -10 and 10, in steps of 0.5 with appropriate legend and axis labels (use a dashed red line for f(x) and a solid blue line for its derivative). The derivative of f(x) is: (-4x² + sin(57x)) = - 8x + 5π cos(5x) dx Also, create an output file named "results.txt" and write x, f(x) and its derivative into the file. Use 2 decimal places. X f(x) df/dx
Answers
To plot the function f(x) = -4x^2 + sin(5x) and its derivative, and to save the results in a file named "results.txt" with 2 decimal places.
You can use the following MATLAB code:
```matlab
x = -10:0.5:10; % Generate x values
f = -4*x.^2 + sin(5*x); % Calculate f(x)
df_dx = -8*x + 5*pi*cos(5*x); % Calculate the derivative
% Saving results to file
output = [x', f', df_dx'];
dlmwrite('results.txt', output, 'delimiter', '\t', 'precision', '%.2f');
1. First, we define the range of x values using the vector `-10:0.5:10` to cover the desired interval with a step size of 0.5.
2. Next, we calculate the values of f(x) and its derivative using the defined mathematical expressions.
3. We then plot the function and its derivative using the `plot` function. The red dashed line represents f(x), and the blue solid line represents its derivative.
4. To save the results, we create a matrix `output` that concatenates the x values, f(x), and the derivative column-wise.
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Omar has a new credit card. He earns 300 reward points for every 100100100 dollars he spends.
If Omar earned 1800 reward points, how much money did he spend?
Answers
Answer:
Omar spent $600
Step-by-step explanation:
He gets 300 points for every $100 he spends and if he has 1800 points total then you divide 1800 by 300 to get the answer
WORD PROBLEM: Fill in the blanks
Answers
The radius of the oatmeal container is 0.2 inches.
The surface area of the plastic is 0.08π square inches
How to calculate the valueThe base and lid are made of plastic and have a radius of R.
The base and lid have a combined surface area of:
πr² + πr² = 2πr² square inches
The total surface area of the oatmeal container is 40 square inches.
The surface area of the cardboard is 16πr square inches and the surface area of the plastic is 2πr² square inches.
Thus, we have the equation:
40 = 16πr + 2πr²
We can solve for R as follows:
16πr + 2πr² = 40
2πr^2 + 16πr - 40 = 0
2πr^2 + 20πr - 4πr - 40 = 0
20r(πr + 2) - 4(πr + 2) = 0
(20r - 4)(πr + 2) = 0
20r - 4 = 0 or πr + 2 = 0
20r = 4 or πr = -2
r = 0.2
Thus, the radius of the oatmeal container is 0.2 inches.
The surface area of the plastic is 2πr² = 2π(0.2)² = 0.08π square inches
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A portrait without its frame has a height 2.5 times its width, w, in inches. Its frame is 3 in. wide all
along its perimeter. What is an expression for the area of the framed portrait in terms of w? Simplify
your expression and write it in standard form.
Answers
Answer:
2 inches
Step-by-step explanation:
it is ,2inches because they are joining
Cassandra has a tangler panto in her backyard the panto is 12.74 m long and 5.45 m wide round the length and width to the nearest whole number then estimate the perimeter of cassandra is panto write an equation to show your work
Answers
The perimeter measures around 36 metre.
Describe a perimeter?The perimeter refers to the area surrounding an object. For instance, your house has a fenced-in yard. The perimeter is the length of the fence. If the yard is 50 feet by 50 feet, your fence is 200 feet long.
While 12.74 rounds up to 13, 5.45 rounds down to 5. Recatangle created a total of four sides, two of which are identical in length to the other two (which is a poor way to explain it). There are two sides that are 13 inches long and two sides that are 5 inches long, which is the solution to this question. When added together, the perimeter would be 13+13+5+5.
As an expression,
2(13)+2(5)
=26+10
=36.
The perimeter is approximately 36 meters.
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If the combination r = 5% and Y = $100 billion is on the Fed rule line, we know that the combination r = 7% and Y = $100 billion would represent Select one: a. the Fed rule shifting to the left. b. a movement down the Fed rule. c. a movement up the Fed rule. d. the Fed rule shifting to the right.
Answers
If the combination r = 5% and Y = $100 billion is on the Fed rule line, and the combination r = 7% and Y = $100 billion is considered, it would represent a movement up the Fed rule.
The Fed rule represents the relationship between the interest rate (r) and the level of real GDP (Y). As the interest rate increases from 5% to 7% while keeping the level of real GDP constant at $100 billion, it indicates a movement along the Fed rule line in an upward direction.
This implies that as the interest rate increases, the recommended level of real GDP decreases, based on the Fed rule. Therefore, the combination r = 7% and Y = $100 billion represents a movement up the Fed rule.
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Suppose a simple random sample of size n = 49 is obtained from a population that is skewed right with mu=85 and sigma=21. (a) Describe the sampling distribution of x. b) What is P(x > 90.1) ? (c) What is (x <= 78.7) ? (dWhat is P (82.3
Answers
(a) The sampling distribution of x, the sample mean, is approximately normal according to the Central Limit Theorem, with a mean of 85 and a standard deviation of 3. (b) The probability of observing a sample mean greater than 90.1 (P(x > 90.1)) is approximately 0.0446 or 4.46%. (c) The probability of observing a sample mean less than or equal to 78.7 (P(x <= 78.7)) is approximately 0.0154 or 1.54%. (d) The probability of observing a sample mean exactly equal to 82.3 (P(x = 82.3)) is zero, as the probability of obtaining a specific value from a continuous distribution is zero.
(a) The sampling distribution of x, the sample mean, will be approximately normal according to the Central Limit Theorem. The mean of the sampling distribution will be equal to the population mean (mu), which is 85, and the standard deviation of the sampling distribution (standard error) will be equal to the population standard deviation (sigma) divided by the square root of the sample size, which is 21/sqrt(49) = 3.
(b) To find P(x > 90.1), we need to calculate the z-score and then find the corresponding area under the standard normal distribution curve. The z-score is calculated as (90.1 - 85) / 3 = 1.7. Using a standard normal distribution table or a calculator, we can find the area to the right of the z-score of 1.7. This gives us P(x > 90.1) ≈ 0.0446, or approximately 4.46%.
(c) To find P(x <= 78.7), we need to calculate the z-score and find the corresponding area under the standard normal distribution curve. The z-score is calculated as (78.7 - 85) / 3 = -2.17. Using a standard normal distribution table or a calculator, we can find the area to the left of the z-score of -2.17. This gives us P(x <= 78.7) ≈ 0.0154, or approximately 1.54%.
(d) To find P(x = 82.3), we need more information. The probability of obtaining a specific value from a continuous distribution, such as the normal distribution, is zero. Therefore, P(x = 82.3) is equal to zero.
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which of the following statements is true about standard deviation? group of answer choices the standard deviation becomes larger as more people have scores that lie farther from the mean value. the standard deviation is calculated by multiplying the variance of given data with its range. the standard deviation tells one what the sample as a whole, or on the average, is like. the standard deviation is simply the difference between the highest score and the lowest score.
Answers
The standard deviation becomes larger as more people have scores that lie farther from the mean value.
What is Standard Deviation?
The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
What is the Relation Between standard deviation and mean in a normal distribution?
A probability bell curve is more properly described as a normal distribution. The mean and standard deviation of a normal distribution are 0 and 1, respectively.
Concept of statement to be True:
A variation from the average value is used to determine standard deviation. When the standard deviation is large, the scores are farther from the mean than when it is low, the results are more in line with the average.
The standard deviation becomes larger as more people have scores that lie farther from the mean value
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William wishes to view a frequency table for grouped data using his monthly credit card statements for the last 20 months, shown below. Construct the table for William using six classes. 1312, 1303, 809, 1477, 1263, 1444, 894, 1051, 1485, 1433, 1132, 1221, 1179, 945, 995, 1179, 1172, 1373, 906, 955 Provide your answer below: Lower Class Limit Upper Class Limit Frequency 809 1486
Answers
Frequency is the number of incidences of an occasion or value. A frequency table that displays the number of incidences of the goods and the number of times, and the further discussion can be defined as follows:
Lower class than adults who have little over two-thirds of a nationwide median's average household income.The higher class would include families with substantial wealth and biz incomes or where the primary breadwinner is utilized as a manager or a professional worker.Calculation:
\(lower\ \ \ \ \ \ \ \ \ upper \ \ \ \ \ \ \ \ \ frequency\\\\809\ \ \ \ \ \ \ \ \ 921 \ \ \ \ \ \ \ \ \ 3\\\\922 \ \ \ \ \ \ \ \ \ 1034 \ \ \ \ \ \ \ \ \ 3\\\\1035 \ \ \ \ \ \ \ \ \ 1147\ \ \ \ \ \ \ \ \ 2\\\\1148 \ \ \ \ \ \ \ \ \ 1260\ \ \ \ \ \ \ \ \ 4\\\\1261 \ \ \ \ \ \ \ \ \ 1373 \ \ \ \ \ \ \ \ \ 4\\\\1374 \ \ \ \ \ \ \ \ \ 1486\ \ \ \ \ \ \ \ \ 4\)
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Find the smallest whole number by which 396 should be divided so as to get a perfect square numberPLS FAST ...............
Answers
Answer:
11
Steps:
Find the prime factores of 396.
These are 2x2x3x3x11.
Circle all the pairs and pick out the one that does not have a pair. In this case it is 11.
You can either multiply 396 by 11 or divide by 11 to make it a perfect square.
Since the question asks for divide. It’s 11
Hope this helps.
Good Luck
Answer:
Step-by-step explanation:
Prime factorize 396
396 = 3 * 3 * 2 * 2 * 11
= 3² * 2² * 11
So, to make 396 a perfect square, divide 396 by 11
396÷11 = 36 is a perfect square
Can a triangle be classified as both isosceles AND obtuse? Why or why not?
Answers
A rectangle is formed by placing two identical squares side by side and the perimeter is 30 cm what is the total area of the squares
Answers
Answer:
50 cm2
Step-by-step explanation:
Given f(x)=x-7 and g(x)=x^2
Find g(f(-1))
Find f(g(-1))
With explanation
Answers
Step-by-step explanation:
f (x)= x-7
= -1-7
= -6
g (x)= x^2
= (-1)^2
=1
Identify the transversal Line is the transversal.
Answers
The transverse line is: Line t
The parallel lines are: m and n
How to Identify Transverse and Parallel Lines?From the transverse and parallel line theorem of geometry, we know that:
If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.
Now, from the given image, we see that the transverse line is clearly the line t.
However we see that the lines m and n are parallel to each other and as such we will refer to them as our parallel lines in the given image.
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Find the value of p : /3=4
Answers
Answer:
I don't understand? there is no number
Step-by-step explanation:
g do you think that the model suffers from omitted variable bias and the estimate for age is unbiased? explain.
Answers
When a crucial variable is excluded from a regression model, the results are referred to as omitted variable bias.
Regression analysis frequently encounters the issue of omitted variable bias, which occurs when an important independent variable is left out of the model and affects the estimates of the coefficients for the included variables.
This happens because one or more of the included independent variables as well as the dependent variable may be correlated with the variable that was left out. As a result, the intercept and coefficients of the included independent variables may be overestimated or underestimated.
Based on prior knowledge and theory, researchers should carefully consider which variables to include in the model to address this issue. They should then test for potential correlations between the included and
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plz help fast
I WILL MARK YOU AS BRAINLIEST
Answers
Answer:
C
Step-by-step explanation:
Answer:
3+(-7)
Step-by-step explanation:
Dont quote me on this, its the closest one to the diagram.
Someone witnesses a crime involving a taxi. The witness tells the police that the taxi was blue. The police know that 77% of witnesses are correct and also that 25% of all of the taxis that could have been involved are blue while the rest are green. What is the probability that the taxi was in fact blue? Write your answer out to two decimal places.
Answers
The probability that the taxi was actually blue is 0.61.
Witnesses are right 77% of the time. This means that they are incorrect 23% of the time. Furthermore, 25% of the taxis were blue while the rest were green. Since these are the only two choices, it follows that 75 percent of the taxis are green.
Using Bayes' Theorem, we can calculate the probability that the taxi was blue:
P (Taxi is blue|Witness said it was blue)
P (Witness said it was blue|Taxi is blue)
P (Taxi is blue)
P (Witness said it was blue|Taxi is green)
P (Taxi is green)
To begin, we must determine the probabilities of each of these:
P (Taxi is blue) = 0.25
P (Taxi is green) = 0.75
P (Witness said it was blue|Taxi is blue) = 0.77
P (Witness said it was blue|Taxi is green) = 0.23
To get the result we multiply all of them together:
P (Taxi is blue|Witness said it was blue) = P (Taxi is blue) × P (Witness said it was blue|Taxi is blue) / [P (Taxi is blue) × P (Witness said it was blue|Taxi is blue) + P (Taxi is green) × P (Witness said it was blue|Taxi is green)]P (Taxi is blue|Witness said it was blue) = 0.25 × 0.77 / (0.25 × 0.77 + 0.75 × 0.23)
P (Taxi is blue|Witness said it was blue) = 0.61
Therefore, the probability that the taxi was actually blue is 0.61.
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\(\text{Solve for 'x'.}\\\\3x + 15 = 33\\\\\\text{Thank you.}\)
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
\(x=6\)
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
\(\boxed{\text{Solving for 'x'...}}\\\\3x + 15 = 33\\--------------\\\rightarrow 3x + 15 - 15 = 33 - 15\\\\\rightarrow 3x = 18\\\\\rightarrow \frac{3x=18}{3}\\\\\rightarrow \boxed{x = 6}\)
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
x=6
Step-by-step explanation:
3x+15=33
or as, 3x=33-15
or as, 3x=18
x=18/3=6
so we got 6 is the answer
5z - 20 - 2 + z for z = 8.
Answers
Answer:
26
Step-by-step explanation:
5(8)= 40
40-20= 20
20-2 = 18
18+8= 26
Answer:
26
Step-by-step explanation:
Substitute each x with 8.
5(8)-20-2+8 Using the order of operations, multiply before adding.
40-20-2+8 For me, it's easier to add and subtract from left to right.
20-2+8
18+8
26
Hope this helped you out...have a wonderful day c:
What is the inequality shown?
Answers
Faith went shopping for a new phone on sale. The store was offering 50% discount. If the price on the tag was $38 what would be the price after the discount but before tax,to the nearest dollar and cent
Answers
Answer:
$19
Step-by-step explanation:
which is an appropriate estimate for the following 3,844 divide by 75