Draw in cartesian graph:
a. MN line where M (-2,2) and N(3,1)
b. RS line where R(3,4) and S(0,0)
Answers
I can guide you on how to plot the lines MN and RS based on the given points.
a. To plot the MN line with points M (-2,2) and N (3,1):
1. Place point M at coordinates (-2, 2) on the Cartesian graph.
2. Place point N at coordinates (3, 1) on the same graph.
3. Draw a straight line connecting points M and N to form the MN line.
b. To plot the RS line with points R (3,4) and S (0,0):
1. Place point R at coordinates (3, 4) on the Cartesian graph.
2. Place point S at coordinates (0, 0) on the same graph.
3. Draw a straight line connecting points R and S to form the RS line.
Now, you have both the MN and RS lines drawn on your Cartesian graph.
A Cartesian graph, also known as a Cartesian coordinate system or Cartesian plane, is a two-dimensional coordinate system that uses two perpendicular lines, usually referred to as the x-axis and y-axis, to determine the position of points in a plane. It is named after the mathematician and philosopher René Descartes, who introduced the concept.
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Related Questions
Jim Goodman, an employee at Walgreens, earned $42,000, an increase of 17.4% over the previous year. What were Jim's earnings the previous year? Note: Round to the nearest cent.
Answers
Answer:
$35,775.13
Step-by-step explanation:
You want the amount that results in $42,000 when it is increased by 17.4%.
MultiplierA value that is increased by a fraction (p) is effectively multiplied by 1+p.
In this case, we have ...
(previous salary) · (1 +17.4%) = $42000
SolutionDividing by the coefficient of (previous salary), we have ...
previous salary = $42000/1.174 = $35,775.13
Jim's earnings the previous year were $35,775.13.
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evaluate 3×-14, when ×=5
Answers
Answer:
1
Step-by-step explanation:
Plug in the x value.
3(5)-14
3(5)=15
So then you do 15-14
Which equals to 1
Hope this helps! Plz mark brainliest!!
Answer:
1
Step-by-step explanation:
1. 3(5)-14 first substitute
2. 15-14
3. 1
The cross section is perpendicular to a radius of the sphere and intersects the radius one-fourth of the way from the center of the sphere to its surface. If the radius of the sphere, r, is 14 centimeters, which is the best approximation of the area of the cross section?
Answers
According to the question, the best approximation of the area of the cross-section is 38.484 square centimeters.
To find the area of the cross-section, we can use the formula for the area of a circle.
The cross-section is perpendicular to a radius of the sphere and intersects the radius one-fourth of the way from the center of the sphere to its surface. This means that the length of the segment from the center of the sphere to the cross-section is one-fourth of the radius.
Given that the radius of the sphere, r, is 14 centimeters, the length of the segment from the center to the cross-section is \((\frac{1}{4})\) * 14 = 3.5 centimeters.
The cross-section is a circle with a radius of 3.5 centimeters. Therefore, the area of the cross-section is given by the formula: A = π * \(r^2.\)
Substituting the value of the radius, we have A = π * \((3.5)^2\).
Calculating the approximate value, we get A ≈ 38.484 square centimeters.
Therefore, the best approximation of the area of the cross-section is 38.484 square centimeters.
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PLEASE HELP AS FAST AS POSSIBLE SHOW WORK
solve x^5=81x
Answers
The solution to the given equation x⁵ = 81x are as follows: x = 0, x = 3 or x = -3.
What is an exponent?An exponent can be defined as a mathematical operation that is used to raise a quantity to the power of another and it is generally written as eˣ.
What are factors?Factors can be defined as the fundamental building blocks of a number. This ultimately implies that, factors refers to numbers which can be multiplied together to get another number.
What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
Given the following expression:
x⁵ = 81x
Subtracting 81x from both sides, we have:
x⁵ - 81x = 81x - 81x
x⁵ - 81x = 0
Next, we would factor the left side of equation as follows:
x(x² + 9)(x + 3)(x - 3) = 0
Finally, we would equate the factors to zero(0) as follows:
x = 0
x = 3
x = -3
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HELP AGAIN PLZ. This is also timed, and it is vital to my success in this class. Time is on the essence and my grade is at risk. Don't forget you can attatch pictures in your answer with the little paperclip icon. But Whoever can give me a picture of the solution graphed will get 50 points and brainliest. What i'm graphing is y=6x. HELP HELP HELP. My math grade is at risk
Answers
Answer:
your graph should look like this
Step-by-step explanation:
hope it helps
ΔTUV∼ΔMLV
Two similar obtuse triangles. Triangle TUV and triangle MLV. Horizontal segment TL contains point V. The length of side TV is 28. The length of side UV is 16. The length of side LV is 56. The length of side MV is unknown and is labeled x.
Answers
Answer:
98
Step-by-step explanation:
From the statement of similarity, we can write this proportion.
TV/MV = UV/LV
28/x = 16/56
16x = 28 × 56
x = 7 × 14
x = 98
the expected value is equal in mathematical computation to the ____________
Answers
The expected value is the long-term average outcome of a random variable. It is calculated by multiplying each possible outcome by its probability and summing them up. In simpler terms, it represents the average value we expect to get over many trials.
The expected value is a concept in probability and statistics that represents the long-term average outcome of a random variable. It is also known as the mean or average. To calculate the expected value, we multiply each possible outcome by its probability and sum them up.
For example, let's say we have a fair six-sided die. The possible outcomes are numbers 1 to 6, each with a probability of 1/6. To find the expected value, we multiply each outcome by its probability:
1 * 1/6 = 1/62 * 1/6 = 2/63 * 1/6 = 3/64 * 1/6 = 4/65 * 1/6 = 5/66 * 1/6 = 6/6Summing up these values gives us:
1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6 = 21/6 = 3.5
Therefore, the expected value of rolling a fair six-sided die is 3.5. This means that if we roll the die many times, the average outcome will be close to 3.5.
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The standard form for a parabola with vertex (h,k) and an axis of symmetry of x=h is:(x-h)^2=4p(y-k)The equation below is for a parabola. Write it in standard form. When answering the questions type coordinates with parentheses and separated by a comma like this (x,y). If a value is a non-integer then type is a decimal rounded to the nearest hundredth. 5x^2-50x-4y+113=0 The value for p is: AnswerThe vertex is the point: AnswerThe focus is the point: AnswerThe directrix is the line y=Answer
Answers
Given the equation of a parabola:
\(5x^2-50x-4y+113=0\)• You can rewrite it in Standard Form by following these steps:
1. Add the y-term to both sides of the equation:
\(\begin{gathered} 5x^2-50x-4y+113+(4y)=0+(4y) \\ \\ 5x^2-50x+113=4y \end{gathered}\)2. Subtract the Constant Term from both sides of the equation:
\(\begin{gathered} 5x^2-50x+113-(113)=4y-(113) \\ \\ 5x^2-50x=4y-113 \end{gathered}\)3. Divide both sides of the equation by 5 (the leading coefficient)
\(x^2-10x=\frac{4}{5}y-\frac{113}{5}\)4. The coefficient of the x-term is:
\(b=-10\)Then, you need to add this value to both sides:
\((\frac{-10}{2})^2=5^2\)Therefore.
\(\begin{gathered} x^2-10x+5^2=\frac{4}{5}y-\frac{113}{5}+5^2 \\ \\ x^2-10x+5^2=\frac{4}{5}y+\frac{12}{5} \end{gathered}\)5. Rewrite the equation as follows:
\(\begin{gathered} (x-5)^2=\frac{4}{5}(y+3) \\ \\ (x-5)^2=0.8(y+3) \end{gathered}\)• Having the equation written in Standard Form:
\((x-h)^2=4p(y-k)\)You can identify that:
\(4p=\frac{4}{5}\)Solving for "p", you get:
\(p=\frac{4}{5\cdot4}=\frac{1}{5}=0.2\)• You can identify that:
\(\begin{gathered} h=5 \\ k=-3 \end{gathered}\)Therefore, the Vertex is:
\((5,-3)\)• By definition, the Focus of a parabola that opens upward is given by:
\((h,k+p)\)Then, in this case, this is:
\((5,-3+0.2)=(5,-2.8)\)• By definition, the Directrix for a parabola that opens upward is given by:
\(y=k-p\)Then, in this case, you get:
\(\begin{gathered} y=-3-0.2 \\ \\ y=-3.2 \end{gathered}\)Hence, the answers are:
• Standard Form:
\((x-5)^2=0.8(y+3)\)• Value for "p":
\(p=0.2\)• Vertex:
\((5,-3)\)• Focus:
\((5,-2.8)\)• Directrix:
\(y=-3.2\)
please help me, i only have 30 minutes!
Answers
Answer:
Radius= 13÷2
= 6.5
c= 2πr2×22/7×6.540.85cmStep-by-step explanation:
Hope that helps
Radius = Diameter ÷ 2 = 13 ÷ 2 = 6.5 cm
Circumference = 2πr
→ Circumference = 2 × π × 6.5
→ Circumference = 13 π cm
Therefore, circumference of given circle = 13 π cm
Hope it helps you :)
in a class, the teacher decides to assign groups of 3 individuals to work on a project. how many ways is this possible if there are 36 students in the class?
Answers
there are 7140 ways to form groups of 3 individuals out of 36 students.
To form a group of 3 individuals out of 36 students, we can use the combination formula:
C(36, 3) = 36! / (3! (36 - 3)!) = 36! / (6! 30!) = (36 × 35 × 34) / (3 × 2 × 1) = 7140
what is combination ?
In mathematics, combination refers to the selection of a subset of objects from a larger set, without regard to the order in which the objects appear. The number of possible combinations is determined by the size of the larger set and the size of the subset being selected.
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The radius of the front wheel of Liz's bike is 54cm. Liz goes for a cycle and travels 54. 82km. How many full revolutions did Liz's front wheel complete?
Answers
The number of full revolutions that Liz's front wheel completed is 16,037 full revolutions.
First, we need to find the circumference of the wheel. The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle. In this case, the radius of the wheel is 54 cm, so we can plug that into the formula:
C = 2π(54 cm) = 108π cm
Next, we need to convert the total distance traveled from kilometers to centimeters, so that we can divide by the circumference of the wheel in centimeters.
There are 100,000 centimeters in a kilometer, so we can multiply the distance traveled in kilometers by 100,000 to get the distance in centimeters:
54.82 km * 100,000 cm/km = 5,482,000 cm
Now we can divide the total distance traveled by the circumference of the wheel to find the number of full revolutions:
5,482,000c m / 108π cm = 16,037.35
So, Liz's front wheel completed approximately 16,037 full revolutions.
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What is the measure of arc GI?
-119
-241
-238
-151
Answers
Answer:
119 degrees
Step-by-step explanation:
angle GH is 90 degrees
angle JH is 180 degrees
you would do 180-151=29
90+29=119 degrees
she has 7 large dogs and 7 small dogs. please help
Answers
Answer:
21 small dogs, 42 total dogs
Step-by-step explanation:
7×3=21
7+7=14
14×3=42
A right rectangular prism measures 12 cm tall, 3 cm long, and 10 cm wide. A manufacturer would like to double the surface area of this prism. What should be the height of the new prism so that its surface area is doubled? Enter your answer, to the nearest tenth, in the box. ___cm
Answers
The height that would double the surface area is 15.5 cm.
What is the formula for the surface area?We know that for the right rectangular prism, we can be able to obtain the surface area of the shape by the use of the formula; A=2(wl+hl+hw)
A = surface area
w = width
h = height
l = length
We have from the question above;
w = 10
l = 3
h = 12
Then the area is;
A = [(10 * 3) + (12 * 3) + (12 * 10)
A = 30 + 36 + 120
A = 186 cm^2
Double the area is 372 cm^2 and the corresponding height is;
372 = [30 + 12h + 10h]
372 = 30 + 22h
h = 372 - 30/22
h = 15.5 cm
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Mountain climber Joe climb to a mountain peak that was 1200 feet above its base and 1500 feet east of his base Mountainclimb about crime to him out to pick that was 900 feet above his base and 1000 feet east of his based who climbed a steeper mountain explain
Answers
***NOTE*** we are going to use the rise over run formula to solve this problem
Joe climbed a mountain with a rise of 1, 200 feet and a run of 1, 500 feet.
So, the slope would be:
1, 200 over 1, 500
which can be simplified...
1,200/1,500 = 12/15 = 4/5
When we solve for slope for Bob, we do the same thing.
He climbed a mountain with a rise 900 feet and a run of 1, 000 feet.
So, it would look like this after we simplify it...
900/1,000 = 9/10
Finally, since Bob's mountain has the largest slope (or fraction), that means that he climbed the steepest mountain.
I hope this helps! :) Let me know if you need help with anything else! I'd be happy to help you!!
In ΔKLM, the measure of ∠M=90°, the measure of ∠K=85°, and MK = 6.9 feet. Find the length of KL to the nearest tenth of a foot.
Answers
Answer: 79.2!!!!!!!!!
Step-by-step explanation:
If you are here from delta math this is the answer
A person accepts a position with a company at a salary of \( \$ 34,000 \) for the frat year, The person is guaranteed a raise of \( \$ 1850 \) per year for the first 6 years. Determine the person's to
Answers
The person's total salary over the first 6 years is $231,750.
To determine the person's total salary over the first 6 years, we need to calculate the sum of the salary for each year.
Given information:
- Initial salary: $34,000
- Annual raise: $1,850
- Number of years: 6
To calculate the total salary, we can use the arithmetic progression formula:
[ S = frac{n}{2} left(2a + (n - 1)dright) ]
Where:
- ( S ) is the sum of the salaries
- ( n ) is the number of terms (years)
- ( a ) is the first term (initial salary)
- ( d ) is the common difference (annual raise)
Substituting the given values, we have:
[ S = frac{6}{2} left(2(34000) + (6 - 1)(1850)right) ]
Simplifying the expression:
[ S = 3 left( 68000 + 5 times 1850 right) ]
[ S = 3 left( 68000 + 9250 right) ]
[ S = 3 times 77250 ]
[ S = 231750 ]
Therefore, the person's total salary over the first 6 years is $231,750.
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A room is 8 meters long how many centimeters is the room
Answers
Answer: 800 cm
Step-by-step explanation:
8x100= 800cm
you multiply 100 times how many meters you have youll get centimeters
Answer:
800
Step-by-step explanation:
Multiply the length value by 100
Henry has worked for a factor for 31 years and will be retiring. He earned salaries over the past 4 years of $38433, $37776, $39125, and $38782. His employer calculates pension by finding the average of his last 4 years’ salaries and will give him 1. 9% of that average for each year he worked. Calculate his pension
Answers
After calculating the average of his last 4 years’ salaries and will give him 1. 9% of that average for each year he worked, the total pension is $2928.204.
In the given question, we have to calculate Henry pension.
Henry has worked for a factor for 31 years and will be retiring.
He earned salaries over the past 4 years of $38433, $37776, $39125, and $38782.
His employer calculates pension by finding the average of his last 4 years’ salaries and will give him 1.9% of that average for each year he worked.
His earning over the past 4 years = $38433, $37776, $39125, $38782
The average of Henry earning = Sum of his earning over 4 years / number of years
The average of Henry earning = ($38433 + $37776 + $39125 + $38782)/4
The average of Henry earning = $154,116/4
The average of Henry earning = $38,529
Hence, the average of Henry last 4 years’ salaries is $38,529.
The pension is 1.9% of the average salary. So,
Pension = $38,529×1.9%
Pension = $38,529×0.019
Pension = $732.051
He worked for total 4 years. So,
Total pension = $732.051×4
Total pension = $2928.204
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50
A jet flies due North far a distance of 50 cm and then on a bearing of N TOE for a furter
km. Find the distance and bearing of the jet from its starting point
Answers
Answer:
90 km, N 46° E
Step-by-step explanation:
A jet flies due North for a distance of 50 km and then on a bearing of N 70° E for a further 60 km. Find the distance and bearing of the jet from its starting point.
Look at the diagram I drew of this scenario. You can see the jet flies North for 50 km, and then turns at a 70° angle to fly another 60 km. We want to find the distance from the starting point, SP, to angle C (labeled).
This will be the jet's distance from its starting point.
In order to find the bearing of the jet from its starting point, we will need to find the angle formed between distances b and c, labeled angle A.
The Law of Cosines will allow us to use two known sides and one known angle to solve for the sides opposite of the known angle.
In this case, the known angle is 110° (angle B) so we will use the Law of Cosines respective to B.
b² = a² + c² - 2ac cosBSubstitute the known values into the equation and solve for b, the distance from the starting point (A) to the endpoint (C).
b² = (60)² + (50)² - 2(60)(50) cos(110°)b² = 6100 -(-2052.12086) b² = 8152.12086b = 90.28909602b ≈ 90 kmThe distance of the jet from its starting point is 90 km. Now we can use this b value in order to calculate angle A, the bearing of the jet.
The Law of Cosines with respect to A:
a² = b² + c² - 2bc cosASubstitute the known values into the equation and solve for A, the bearing from the starting point (clockwise of North).
(60)² = (90.28909602)² + (50)² - 2(90.28909602)(50) cosA 3600 = 8152.12086 - 6528.909602 cosA-4552.12086 = -6528.909602 cosA0.6972252853 = cosA A = cos⁻¹(0.6972252853) A = 45.79519A ≈ 46°The bearing of the jet from its starting point is N 46° E. This means that it is facing northeast at an angle of 46° clockwise from the North.
Select the correct answer.
What are the possible values of x in 6x2 + 432 = 0?
Answers
Answer:
D.
Step-by-step explanation:
how many times can 495 go into 156
Answers
Answer:
0
Step-by-step explanation:
Answer:
0.315 times
Step-by-step explanation:
156÷495 ≈ 0.315
Have a good day :)
Choose the system of equations which matches the following graph.
A. 3x-6y=12
9x-18y=36
B. 3x+6y=12
9x+18y=36
Answers
The system of equations that matches the given graph is:
A. 3x - 6y = 12
9x - 18y = 36
To determine which system of equations matches a given graph, we need to analyze the slope and intercepts of the lines in the graph.
Looking at the options provided:
A. 3x - 6y = 12
9x - 18y = 36
B. 3x + 6y = 12
9x + 18y = 36
Let's analyze the equations in each option:
For option A:
The first equation, 3x - 6y = 12, can be rearranged to slope-intercept form: y = (1/2)x - 2.
The second equation, 9x - 18y = 36, can be simplified to 3x - 6y = 12, which is the same as the first equation.
In option A, both equations represent the same line, as they are equivalent. Therefore, option A does not match the given graph.
For option B:
The first equation, 3x + 6y = 12, can be rearranged to slope-intercept form: y = (-1/2)x + 2.
The second equation, 9x + 18y = 36, can be simplified to 3x + 6y = 12, which is the same as the first equation.
In option B, both equations also represent the same line, as they are equivalent. Therefore, option B does not match the given graph.
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EMV = 67740
As noted earlier, Humber is considering hiring Professor Leung
to conduct a market research survey. It is now determined that the
results of the survey will indicate an unfavourable market
Answers
The market research survey conducted by Professor Leung indicates an unfavorable market based on the determined results, even though the expected monetary value (EMV) is given as 67740.
The given information states that the EMV (Expected Monetary Value) is $67,740. Additionally, it is mentioned that the market research survey will produce unfavorable results.
The EMV represents the expected monetary value, which is a measure of the potential financial outcome associated with a decision or event. In this case, the EMV of $67,740 suggests the potential financial value or benefit that Humber could gain from conducting the market research survey.
However, the statement also indicates that the results of the survey will be unfavorable. This implies that the market conditions or outcomes indicated by the survey will not be beneficial for Humber. The specific details about the nature of the unfavorable market conditions or the potential impact on Humber's decision-making are not provided, but it suggests that the survey results may not lead to desirable outcomes for the company.
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Dana is attaching a shelf to a wall and needs the shelf to be parallel to the floor. How many degrees should the shelf be relative to the floor?.
Answers
Using the slope concept, it is found that the shelf should have a measure of 0 degrees relative to the floor.
What is a slope?The slope is given by the vertical change divided by the horizontal change.It's also the tangent of the angle of depression.In this problem, the shelf and the floor are parallel, hence they have the same slope, meaning that the difference of their angles is of 0 degrees, thus, the shelf should have a measure of 0 degrees relative to the floor.
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2x+7y=1
y=4x−8
Is (4,8)(4,8)left parenthesis, 4, comma, 8, right parenthesis a solution of the system?
Choose 1 answer:
Answers
Answer:
(1,9;(-0,4))
Step-by-step explanation:
7(4x-8)+2x=1
28x-56+2x=1
28x+2x=1+56
30x=57|:30
x=1,9
y=4×1,9-8
y=-0,4
A student was wondering if the average cost of attending a college could be predicted using the independent variables "admission rate" measured as the percent of applicants admitted to the school, and the dummy variable "private school". It is assumed that colleges are either private or public.
A statistical software program generated the following regression results:
The interpretation of the estimated regression coefficient for PRIVATE is:
For each 1-unit increase in private, the average cost of attending is predicted to rise by $22,713.66, holding the admissions rate constant
The average cost of attending a private school is $22,713.66 more expensive than a public school, assuming that they both have the same admissions rate
Private schools are $22,713.66 more expensive, on average.
None of the interpretations given are correct.
Answers
The correct interpretation of the estimated regression coefficient for the variable "PRIVATE" in this context is: Private schools are $22,713.66 more expensive, on average.
The estimated regression coefficient for the variable "PRIVATE" represents the difference in the average cost of attending a private school compared to a public school, assuming that all other variables in the model are held constant. In this case, the coefficient is positive and has a value of $22,713.66.
Interpreting the coefficient in this way means that, on average, attending a private school is expected to cost $22,713.66 more than attending a public school when the other independent variable, "admission rate," is held constant.
It is important to note that the interpretation assumes all other factors that may influence the cost of attendance are constant. The coefficient does not indicate causation but rather an association between the private school status and higher average costs. Other variables, such as location, size, academic programs, and financial aid availability, may also contribute to differences in college costs between private and public institutions.
The estimated regression coefficient for "PRIVATE" indicates that, on average, attending a private school is associated with a higher cost of attendance by approximately $22,713.66 compared to attending a public school, holding the admission rate constant.
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You have $20 and earn $0.75 for each cup of orange juice you sell. Write an equation that represents the total amount A (in dollars) you have after selling j cups of orange juice.
Answers
Answer:
A= 20 + 0.75*j
Step-by-step explanation:
Giving the following information:
You have $20 and earn $0.75 for each cup of orange juice you sell.
To calculate the total amount of dollars (A), we need to use the following formula:
A= 20 + 0.75*j
j= number of cups
For example, for 15 cups:
A= 20 + 0.75*15
A= $31.25
please help i have a test next week and i don’t want to fail ):
Answers
the price of a television set has been reduced by 10% to R799. what was the pre- discount price for this television set?
Answers
divide 799 by 9 then multiply by 10 equals 887.7
