Consider the line y = 6x-2.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answers
Slope of a parallel line: y = 6x
Slope of a perpendicular line: y = -1/6x
Step-by-step explanation:
For parallel, just take the slope and for perpendicular, find the negative reciprocal of the slope of the original line
Related Questions
I need another answer asap! Please and thank you if you answer this and you will get 15 points! So what is the answer to this question? Dax is buying coffee for 5
people in his office. He also leaves a $2.00
tip for the barista.
If his total, with tip, is $18.25,
how much is each cup of coffee, not including the tip?
Enter your answer as a decimal, like this: 42.53
Answers
Answer:
3.25
Step-by-step explanation:
total 18.25 - 2.00 tip = 16.25
16.25/5=3.25
4. Solve for x (8x-3)=(16x-33)
Please and thank you.
Answers
Answer:
\(x=3\frac{3}{4}\)
Step-by-step explanation:
(8x - 3) = (16x - 33)
8x - 3 = 16x - 33
8x - 3 + 3 = 16x - 33 + 3
8x = 16x - 30
8x - 16x = 16x - 16x - 30
- 8x = - 30
- 8x ÷ - 8 = - 30 ÷ - 8
\(x=3\frac{3}{4}\)
The value of x for the given equation is x = 3.75.
What is a linear equation?A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.
It can be represented as a straight line on a graph.
The given equation is as below,
(8x - 3) = (16x- 33)
It is a linear equation in variable x. It can be simplified as below,
(8x - 3) = (16x- 33)
=> 16x - 8x = 33 - 3
=> 8x = 30
=> x = 3.75
Hence, the solution of x for the given equation is x = 3.75.
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let|x z|= 5what is the |2x+z z|
|y w| |2y+w w|
Answers
If |x z|= 5 , then the value of equation |2x+z z||y w| |2y+w w| is 10| xy + zw/2 + xyw/4 + zwy/4.
Given that |x z|= 5, we need to find the value of |2x+z z||y w| |2y+w w|
Let's start by solving |2x+z z| and |2y+w w|.
|2x+z z| = |2(x + z/2) z/2|
[dividing z/2 on both sides, we get 2x + z = 2(x + z/2)]= 2| x+z/2|.
|2y+w w| = |2(y + w/2) w/2| [dividing w/2 on both sides, we get 2y + w = 2(y + w/2)] = 2| y+w/2|
Now, we need to find the value of |x z||y w|.
|x z||y w| = |x||y| |z||w| = |xy||zw|
As we have the value of |x z|= 5, we get|xy||zw| = 5|y w|
Now, substituting the value of |2x+z z| and |2y+w w| in the equation |2x+z z||y w| |2y+w w|,
we get
2| x+z/2| * | y+w/2| * 5|y w|
= 10| x+z/2|| y+w/2||y w|
= 10| xy + zw/2 + xyw/4 + zwy/4|
Therefore, the value of |2x+z z||y w| |2y+w w| is 10| xy + zw/2 + xyw/4 + zwy/4|.
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Question 38.
Write the first six terms of the arithmetic sequence with the first term, a1 = 240, and common difference, d= 24.
The first six terms are a1 = ,a3= , a4= ,a5= , and a6= .
Answers
\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)
Question 291 ptHow many real solutions does the quadratic equation below have?y = 2? + 5x + 100 1 real solutionNo real solutions2 real solutionsInfinite number of real solutionsNexDrevious
Answers
The quadratic equation is:
\(y=2x^2+5x+10\)To find if the number of solutions, we use the discriminant of the equation. But first, we compare the given equation with the general quadratic equation:
\(y=ax^2+bx+c\)By comparison, we find the values of a, b, and c:
\(\begin{gathered} a=2 \\ b=5 \\ c=10 \end{gathered}\)Now, as we said previously, we have to use the discriminant to find the number of solutions. The discriminant is defined as follows:
\(D=b^2-4ac\)• If the value of D results to be equal to 0, there will be 1 real solution.
• If the value of D results to be greater than 0, there will be 2 real solutions.
• And if the value of D results to be less than 0, there will be no real solutions.
We substitute a, b and c into the discriminant formula:
\(D=5^2-4(2)(10)\)Solving the operations:
\(\begin{gathered} D=25-4(2)(10) \\ D=25-80 \\ D=-55 \end{gathered}\)As we can see, the value of D is less than 0 (D<0) which indicates that there will be no real solutions for this quadratic equation.
Answer: No real solutions
one morning, ms. simon drove directly from her home to her workplace in 242424 minutes. what was her average speed, in miles per hour, during her drive that morning?
Answers
The average speed in miles per hour during her drive that morning is 43.5 miles per hour .
In the question ,
it is given that ,
the distance between home to freeway entrance is = 0.6 miles
the distance between freeway entrance to freeway exit is = 15.4 miles
the distance between freeway exit to workplace is = 1.4 miles
So , the distance from home to work place = 0.6 + 15.4 + 1.4 = 17.4 miles
we know that 24 minutes = 24/60 = 0.4 hours ,
the average speed = total distance / total time
= 17.4/0.4
= 43.5 miles per hour
Therefore , the average speed is 43.5 miles per hour .
The given question is incomplete , the complete question is
One morning, Ms. Simon drove directly from her home to her workplace in 24 minutes. what was her average speed, in miles per hour, during her drive that morning ?
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A father and a son go hunting. The father kills an average of 2 animals every 5 shots and the son kills one animal every 2 shots. If the two fired at the same animal at the same time, what is the probability that they will obtain kill?
Answers
The probability that the father and son will obtain a kill if they both fired at an animal the same time is 0.9
What is the probability of an event?The probability of an event is the likelihood of the occurrence of event.
The average number of animals the father kills every 5 shots he takes = 2
The average number of animals the son kills every 2 shots he takes = 1
\(Probability = \dfrac{Number \ of \ required \ items}{Number \ of \ possible \ outcomes}\)
Which gives:
The probability that the father kills an animal = \(P(F) = \dfrac{2}{5} = 0.4\)
The probability that the son kills an animal is; \(P(s) = \dfrac{1}{2} =0.5\)
The probability that if the father and the son fires at the same animal, the probability that they will obtain a kill, which is the probability that the animal is killed , P(A) = The probability that the father kills the animal + The probability that the son kills the animal
P(A) = P(F) + P(s) = P(F) ∪ P(s)Which gives: P(A) = 0.4 + 0.5 = 0.9
The probability that the animal will be killed is approximately 0.9
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Drag the costs to the table to classify them as direct operational costs or costs
covered by business insurance.
Costs Covered by
Business Insurance
Direct Operational Costs
Answers
Rent, insurance, commissions, and other expenses could be added to the operating costs of a service-based business. Most of these expenses are regular daily expenses.
What are operating expenses?A continuing cost for maintaining a system, a business, or a product is known as an operating expense, operating expenditure, operational expenditure, operational expenditure, or OPEX.
The expense of creating or providing non-consumable pieces for the system or product is known as capital expenditure (capex).
For instance, the annual costs of paper, toner, power, and maintenance for a photocopier are opex, while the cost of the photocopier itself is capex.
Additional running costs for a service-based business could include rent, insurance, commissions, and other costs.
The majority of these costs are routine daily spending.
Costs that weren't directement necessary for those activities are referred to be non-operating expenses.
Therefore, rent, insurance, commissions, and other expenses could be added to the operating costs of a service-based business. Most of these expenses are regular daily expenses.
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Correct question:
A service business may have some additional operating expenses like rent, insurance, commissions, and so on. Most of these expenses are incurred on a ___ basis.
I need help graphing this function its a multiple choice question please help i will show all choices
Answers
Notice that the given function is an exponential function, also:
\(y=30(\frac{1}{4})^x,\)therefore, its y-intercept is y=30.
Answer:
Courtney picks blueberries from her garden. She uses 3/5 of the blueberries to make some jam. After making the jam, she gives 1/3 of the blueberries she has left to her sister. What fraction of the blueberries she picked does she give to her sister? *
Answers
Courtney gives 1/5 of the blueberries she picked to her sister.Let's call the total number of blueberries that Courtney picked "x".
Then, she uses 3/5 of the blueberries to make jam, which means she has x * 3/5 = 3x/5 of the blueberries left.After making the jam, she gives 1/3 of the blueberries she has left to her sister, which means she gives 1/3 * (3x/5) = x/5 of the blueberries to her sister.
So, the fraction of the blueberries that Courtney gives to her sister is x/5. This fraction represents 1/5 of the total number of blueberries that she picked, so we can conclude that Courtney gives 1/5 of the blueberries she picked to her sister.
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NEED HELP ASAP, WILL GIVE BRAINLIEST
What is the coefficient of the third term of the binomial expansion of (2x - 3)^ 4
Answers
Write the word sentence as an equation. Then solve.
The quotient of a number x and −1.5 is 21.
Equation:
Question 2
Solution: x=
Answers
Answer:
-1.5-21x
Step-by-step explanation:
A square and a triangle have equal perimeters. The lengths of the three sides of the triangle are 6.1 cm, 8.2 cm and 9.7 cm. What is the area of the square in square centimeters?
Answers
Answer:
Area of the square: 36
Step-by-step explanation:
6.1+8.2+9.7=24. Squares have 4 sides so 24/4=6. Area= base times highet, Base=6 Highet=6. 6 times 6=36!
Answer:
A=36 cm²
Step-by-step explanation:
the perimeter of triangle=a+b+c
P=6.1+8.2+9.7
P= 24 cm
P of triangle = P of square ( square has 4 equal sides):
24=4a
a=24/4=6
Area of square : a²
A=6² = 36 cm²
how many rows and columns must a matrix a have in order to define a mapping from r4 into r5 by the rule t .x/ d ax?
Answers
The matrix A must have the following form:
A = [ a11 a12 a13 a14 ]
[ a21 a22 a23 a24 ]
[ a31 a32 a33 a34 ]
[ a41 a42 a43 a44 ]
[ a51 a52 a53 a54 ]
In order for a matrix A to define a mapping from R4 into R5 by the rule T(x) = Ax, the matrix A must have 5 rows and 4 columns.
This is because the number of rows in the matrix determines the dimension of the output space, while the number of columns determines the dimension of the input space. In this case, the output space is R5 and the input space is R4, so the matrix must have 5 rows and 4 columns.
In general, if a matrix A is used to define a mapping from Rn into Rm by the rule T(x) = Ax, then the matrix A must have m rows and n columns.
So, the matrix A must have the following form:
A = [ a11 a12 a13 a14 ]
[ a21 a22 a23 a24 ]
[ a31 a32 a33 a34 ]
[ a41 a42 a43 a44 ]
[ a51 a52 a53 a54 ]
where each aij is a scalar.
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An alarm system requires a 7-digit code using the digits 0 through 9. Each digit may only be used once in the code. How many different codes are possible
Answers
10M different codes are possible.
Probability Definition in Math-
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it.Four perspectives on probability are commonly used: Classical, Empirical, Subjective, and Axiomatic. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .It’s simple. there are 7 digits, so that would mean you start with 0,000,000 and end with 9,999,999. If the highest digit is 9,999,999 and you add a 1 more to it, you have a total of 10M combinations.Learn more about probability
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Regression analysis has been used to calculate the line of best fit from a series of data. Using this line to predict a value which lies between the two extreme values
observed historically is known as extrapolation.
Is this statement TRUE or FALSE?
Answers
The statement is TRUE. Extrapolation in regression analysis refers to using the line of best fit to predict values that lie outside the range of the observed data.
It involves extending the regression line beyond the observed data points to estimate values for variables that are beyond the range of the data. However, it's important to note that extrapolation can be risky because it assumes that the relationship between the variables continues outside the observed range, which may not always be valid. Extrapolation should be done with caution and its results should be interpreted carefully.
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Define a Variable and write an iequallity to model the given situation.
A restaurant can hold no more than 160 people.
If p is the restaurant's capacity, which of the following models the situation?
p < 160
p > 160
p ->(negative greater than less that symbol) 160
p -<(neg greater than less than symbol) 160
Answers
Answer:
Variable data is defined as information and figures used to build control charts. Variable data can be used to create average (X-bar) charts, range charts, and sample standard deviation charts or "S-charts."
Answer:
D. p ≤ 160Step-by-step explanation:
A restaurant can hold no more than 160 people, it means it can hold 160 people or less.
This is shown as:
p ≤ 160Correct choice is D
Triangle ABC has the following measurements.
m
write an equation and solve for x
Answers
Answer:
4y
Step-by-step explanation:
HELP PLEASE!!!
The bear population in Canada was 380,000 in the year 2015, and environmentalists think that the population is increasing at a rate of 2.5% per year.
Consider the function that represents the exponential growth of the bear population in Canada.
Part A: Defines a variable for the function and state what the variable represents.
Part B: What is a reasonable domain for the situation?
Part C: Write the function that represents the exponential growth of the bear population.
Part D: What will the bear population estimated to be in 2050?
Answers
Answer:
The population of Bear in 2050 is 4750000
Step-by-step explanation:
A) The exponential growth equation for bear is as follows -
dN/dT = rmax * N
Where dN/dT = change in population
rmax is the maximum rate of change
N = Base population
B) Here the per capita rate of increase (r) will always be a positive value irrespective of the and hence we will assume this population to be growing exponentially.
C) dN/dT = rmax * N
D) dN / 5 = 2.5 * 380,000
dN = 5*2.5 * 380000
= 4750000
A diver descended 21.83 feet in 5.9 minutes. What was the diver's average change in eleration per minute?
Answers
Sarah purchased 8kg of sugar, 10kg of
flour, 500g of cocoa, 225g of pecans,
and 275g of coconut. How much do all
her groceries weigh in kilograms?
Answers
The total weight is 18.5 kilograms
The rain gauge shows 3 centimeters of rainwater.
Which of the equations below gives the height, h, if it rains at a rate of 0.25 centimeters per hour after t hours? Hint: the h is the "y" and the t is replacing "x"
A. h=0.25t+3h is equal to 0 point 2 5 t plus 3
B. h=3t+0.25h is equal to 3 t plus 0 point 2 5
C. t=0.25h+3t is equal to 0 point 2 5 h plus 3
D. t=3h+0.25
Answers
Answer:
h=0.25t+3
Step-by-step explanation:
y=mx+b
y=0.25x+3
replace y with h and x with t
h=0.25t+3
What is
|Ay|
in the system of linear equations below?
-8x+y=-6
3x-2y=-1
Answers
Considering the given system of equations, it is found that:
\(|Ay| = \left|\begin{array}{cc}-8&1\\-6&-1\end{array}\right|\)
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the system is:
-8x+y=-6
3x-2y=-1
In matrix form, it is given by:
\(\left[\begin{array}{cc}-8&1\\3&-2\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}-6\\-1\end{array}\right]\)
To find the matrix |Ay|, we replace the y coefficients of 1 and -2 by the results of -6 and -1, hence:
\(|Ay| = \left|\begin{array}{cc}-8&1\\-6&-1\end{array}\right|\)
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Answer:
C. (-8 -6 3 -1)
Step-by-step explanation:
EDG
If you have 3 means that need to be compared, you should not simply do multiple t-tests because ________.
a. it's too time consuming.
b. the joint alpha level decreases.
c. you inflate the experiment wise alpha.
d. you will be forever shunned by statiscians.
Answers
If you have 3 means that need to be compared, you should not simply do multiple t-tests because you will inflate the experiment-wise alpha. The experiment-wise alpha is the probability of making a Type I error (rejecting a true null hypothesis) in any of the tests in the series. When multiple t-tests are conducted, the overall chance of making a Type I error increases with the number of comparisons. This is called the problem of multiple comparisons or the family-wise error rate problem.
To control for this problem, you need to use multiple comparison procedures that adjust the alpha level for the number of comparisons being made, such as the Bonferroni correction, Tukey's HSD (honestly significant difference) test, or the Scheffe test. These procedures reduce the risk of making a Type I error and increase the chance of detecting true differences among the means.
water is pumped into an underground tank at a constant rate of 8 gallons per minute. water leaks out of the tank at the rate of
Answers
The expression for the rate of the water leaking out of the tank is: √t+1.
This means that the rate of water leaking out of the tank at any time t between 0 and 120 minutes is given by the square root of t + 1.
It's important to note that this expression assumes that the rate of water leaking out of the tank is directly proportional to the square root of time, which may not always be the case in real-world scenarios. However, for the purposes of this problem, we assume that this is a reasonable approximation.
Complete question: write an expression for the rate of the water leaking out of the tank water is pumped into an underground tank at a constant rate of 8 gallons per minute. water leaks out of the tank at the rate of √t+1 gallons per minute, for 0≤t≤120 minutes. At time t=0, the tank contains 30 gallons of water.
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Y=2x,x+y=9 solve by substitution show work
Answers
Answer:
(3,6)
Step-by-step explanation:
y = 2x
x+y = 9
; x+(2x) = 9
3x = 9
x = 3
y = 2x
y = 2(3)
y = 6
Hello there here is the problem you gave us
\(y=2x,x+y=9\)
You want to us to solve this by substitution,
_______________________
\(y=2x\) \(x= \frac{1}{2}y\)_______________________
we can substitute \(y\) for \(2x\) and get the equation
\(x+2x=9\), do the simple algebra and we get that \(x=3\), remember though \(y=2x\), plug in the value that \(x=3\) and get that \(y=6\)
_______________________
\({\huge{\boxed{\mathfrak{Answer}}}\)
\(x=3\) \(y=6\) Have a good day :) !What's the area of the circle r=1.2 yd plss help
Answers
Answer: 1.44pi
Step-by-step explanation: just plug in 1.2 for r in a=pi(r^2)
significance and sample size a study with 5000 subjects reported a result that was statistically significant at the 5% level. explain why this result might not be particularly large or important.
Answers
This result might not be particularly large or important because there might only be few differences between the research subjects.
What is Statistical significance?Statistical significance is a measure of the probability that a result could have occurred by chance alone. In a study with a large sample size, even small differences between groups or conditions may be statistically significant.
In the case of a study with 5000 subjects, a statistically significant result at the 5% level would mean that there is less than a 5% chance that the result occurred by chance.
However, it's important to remember that statistical significance does not necessarily imply practical significance or importance.
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3. The following data was recorded from the heights of planted flowers in inches: 12, 10, 8.5, 5.5, 10. Calculate the Mean Absolute Deviation (MAD) for the heights of the flowers.
A. 10
B. 9.2
C. 1.76
D. 8.8
Answers
Answer:
1.76
Step-by-step explanation:
i used a mean absolute deviation calculator
consider the following data. 1,14,12,10,15,8 step 1 of 3: determine the mean of the given data.
Answers
The mean of the given data set 1, 14, 12, 10, 15, 8 is 10 found by dividing the total sum by the total number of values.
To find the mean (average) of a data set, we sum up all the values in the data set and divide it by the total number of values. In this case, we have six numbers in the data set.
Sum of the numbers: 1 + 14 + 12 + 10 + 15 + 8 = 60.
Total number of values: 6.
Mean = Sum of the numbers / Total number of values = 60 / 6 = 10.
Therefore, the mean of the given data set 1, 14, 12, 10, 15, and 8 is 10.
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