The midpoint of CD is M=(2, -1). One endpoint is C=(-3,-3). Find the coordinates of the other endpoint, D. D (?, ?) M (2,-1) C (-3,-3) D = (-7, -1) Find an ordered pair (x, y) that is a solution to the equation. -x+5y=2
Answers
The ordered pair (x, y) that is a solution to the equation -x + 5y = 2 is (0, 2/5).
To find the coordinates of the other endpoint D given that the midpoint of CD is M(2, -1) and one endpoint is C(-3, -3), we can use the midpoint formula:
Midpoint formula:
The coordinates of the midpoint between two points (x₁, y₁) and (x₂, y₂) are given by ((x₁ + x₂) / 2, (y₁ + y₂) / 2).
Using the given information, we can substitute the known values into the midpoint formula and solve for the coordinates of D:
M(2, -1) = ((-3 + x₂) / 2, (-3 + y₂) / 2)
Simplifying the equation:
2 = (-3 + x₂) / 2
-1 = (-3 + y₂) / 2
To solve for x₂:
4 = -3 + x₂
x₂ = -3 + 4
x₂ = 1
To solve for y₂:
-2 = -3 + y₂
y₂ = -3 - 2
y₂ = -5
Therefore, the coordinates of the other endpoint D are D(1, -5).
To find an ordered pair (x, y) that is a solution to the equation -x + 5y = 2, we can choose any value for either x or y and solve for the other variable. Let's choose x = 0:
-0 + 5y = 2
5y = 2
y = 2/5
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Related Questions
Find the Lap lace transform of
f(t) = 6u (t- 2) + 3u(t-5) - 4u(t-6)
F(s)=
Answers
To find the Laplace transform of f(t), we use the formula:
L{f(t)} = ∫[0,∞) \(e^(-st)\) f(t) dt
where L{f(t)} denotes the Laplace transform of f(t) and u(t) is the unit step function.
Using the linearity of the Laplace transform, we can find the Laplace transform of each term separately and add them up.
L{6u(t-2)} = \(6e^(-2s)\) / s (applying the time-shift property)
L{3u(t-5)} = \(3e^(-5s)\) / s (applying the time-shift property)
L{-4u(t-6)} = -\(4e^(-6s\)) / s (applying the time-shift property)
Therefore, the Laplace transform of f(t) is:
F(s) = L{f(t)} = 6\(e^(-2s)\) / s + \(3e^(-5s)\) / s - \(4e^(-6s)\)/ s
= \((6e^(-2s) + 3e^(-5s) - 4e^(-6s)) / s\)
Hence, the Laplace transform of f(t) is F(s) = \((6e^(-2s) + 3e^(-5s) - 4e^(-6s)) / s.\)
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Question 2 of 10
Solve (x – 4)2 = 5.
O A. x=-4+25
O x X
O B. x=514
O C. x = 9 and x= -1
O D. x = 4+15
Answers
Answer:
No answer
the answer is 6.5
Step-by-step explanation:
\((x - 4)2 = 5 \\ 2x - 8 = 5 \\ 2x = 13 \\ x = \frac{13}{2} = 6.5\)
A multiple-choice test has 5 questions each with 5 possible answers, the probability of guessing all the questions correctly is
Answers
In a multiple-choice test that has 5 questions, each with 5 possible answers, the probability of guessing all the questions correctly can be found using the formula:p = (1/5) × (1/5) × (1/5) × (1/5) × (1/5) = 1/3125.
The probability of guessing one question correctly is 1/5 since there are five possible answers. Since there are five questions, we multiply the probability by itself five times.
Therefore, the probability of guessing all the questions correctly is 1/3125, which is approximately 0.00032. This means that the chance of guessing all the questions correctly by random chance is very low.
This indicates that one should have studied for the test rather than relying solely on guesswork.
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helppp please this is homework you will be marked as brainlest
Answers
Answer:
Step-by-step explanation:
The equation of Line D is y = 3/8x +3. The equation of the line E is y = 3/8x + 8/3, Are line D and Line E perpendicular,parallel or neither.
Answers
The given lines are parallel.
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here: The two equations given are y = 3/8x +3 & y = 3/8x + 8/3
We can observe that both the equations are in slope-intercept form we get
the slope of both the lines m=3/8
Two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other.
Clearly the two given lines have the same slope and different y intercept
Hence, The two lines are parallel
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Ramona is counting the posts between mile markers on the highway. In 1 mile, she counts 33 posts. If the posts are evenly spaced, how many feet apart are they? (1 mile = 5,280 feet)
Answers
Answer:
160 feet
Step-by-step explanation:
In order to solve this, we need to realize that the mile is being divided into 33 equal parts. Therefore our operation should look like this:
5,280 (the number of feet in 1 mile) / 33
5,280/33=160
The posts are 160 feet apart from each other.
HTH :)
Find the sum of the given geometric series: n = 8, r = 3, a = 1/2
Answers
Answer:
a⁸=112 is the answer.
Step-by-step explanation:
a⁸=32(1/2)⁷
a⁸=32(7/2)
a⁸=112
A student drew the following model to represent the expression 4(2x +3) Which model and expression are equivalent to 4(2x + 3)
Answers
Answer:
8x + 12
Step-by-step explanation:
4 x 2x = 8x
4 x 3 = 12
Simply the expression (4x-3)(x+5)
Answers
Answer:
Step-by-step explanation:
We can use FOIL (front outer inner last)
First terms 4x * x = 4x^2
Outer terms 4x * 5 = 20x
Inner terms -3 * x = -3x
Last terms -3 * 5 = -15
we put all of these together
4x^2 + 20x - 3x - 15, which simplifies to
4x^2 + 17x - 15
The simplified expression is 4x^2 + 17x - 15
To simplify the expression: (4x-3)(x+5)
we can use the distributive property.
Multiplying each term in the first binomial (4x-3) by each term in the second binomial (x+5), we get
4x^2 + 20x - 3x - 15.
Combining like terms, we simplify further to obtain
4x^2 + 17x - 15.
Thus, the simplified expression is 4x^2 + 17x - 15,
which is the result of multiplying (4x-3) and (x+5) together using the distributive property.
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8. Given P = {vowels) and Q= {consonants), what is PU Q?
(a) PUQ = 0
(b) PU Q = {a, e, i, o, u}
(c) PU Q = {consonants}
(d) PU Q = {The English alphabet}
please answer urgent I'm timed please.....
Answers
Answer:
d) PU Q = {The English alphabet}
Step-by-step explanation:
because U means Union of all P and Q
Four cards are chosen at random from a standard deck of 52 playing cards, with replacement allowed. This means after choosing each card, the card is return to the deck, and the deck is reshuffled before another card is selected at random. Determine the number of such four-card sequences if a) There are no restrictions. b) None of the cards can be spades. c) All four cards are from the same suit. d) The first card is an ace and the second card is not a king. e) At least one of the four cards is an ace
Answers
a) The total number of four-card sequences without any restrictions, allowing replacement, is 6,497,416. b) The number of four-card sequences in which none of the cards can be spades, allowing replacement, is 231,344,376. c) The number of four-card sequences in which all four cards are from the same suit, allowing replacement, is 43,264. d) The number of four-card sequences where the first card is an ace and the second card is not a king, allowing replacement, is 665,856.
a) If there are no restrictions, each card can be chosen independently from the deck. Since there are 52 cards in the deck and replacement is allowed, there are 52 choices for each of the four cards. Therefore, the total number of four-card sequences is 52⁴ = 6,497,416.
b) If none of the cards can be spades, there are 39 non-spade cards in the deck (since there are 13 spades). For each card in the sequence, there are 39 choices. Therefore, the total number of four-card sequences without any spades is 39⁴ = 231,344,376.
c) If all four cards are from the same suit, there are four suits to choose from. For each card in the sequence, there are 13 choices (since there are 13 cards of each suit). Therefore, the total number of four-card sequences with all cards from the same suit is 4 * 13⁴ = 43,264.
d) If the first card is an ace and the second card is not a king, there are 4 choices for the first card (since there are 4 aces in the deck) and 48 choices for the second card (since there are 52 cards in the deck, minus the 4 kings). For the remaining two cards, there are 52 choices each. Therefore, the total number of four-card sequences satisfying this condition is 4 * 48 * 52² = 665,856.
e) To calculate the number of four-card sequences with at least one ace, we can subtract the number of sequences with no aces from the total number of sequences. The number of sequences with no aces is (48/52)⁴ * 52⁴ = 138,411. Therefore, the number of sequences with at least one ace is 52⁴ - 138,411 = 6,358,005.
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find an equation of the tangent plane to the given parametric surface at the specified point. x=u v, y=3u^2, z=u-v
Answers
Therefore, the equation of the tangent plane to the given parametric surface at the specified point is: v0(x - x0) + u0(y - y0) + 6u0(z - z0) + (1)(0) + (-1)(1) = 0.
To find the equation of the tangent plane to the parametric surface at the specified point, we need to find the normal vector to the surface at that point. The normal vector is given by the cross product of the partial derivatives of the surface equations with respect to u and v.
The surface is defined by the parametric equations:
x = u*v
y = 3u^2
z = u - v
Taking the partial derivatives:
∂x/∂u = v
∂x/∂v = u
∂y/∂u = 6u
∂y/∂v = 0
∂z/∂u = 1
∂z/∂v = -1
Taking the cross product of the partial derivatives:
N = (∂x/∂u, ∂x/∂v, ∂y/∂u, ∂y/∂v, ∂z/∂u, ∂z/∂v)
= (v, u, 6u, 0, 1, -1)
At the specified point, let's say u = u0 and v = v0. Plugging these values into the normal vector, we have:
N(u0, v0) = (v0, u0, 6u0, 0, 1, -1)
The equation of the tangent plane can be written as:
(v0, u0, 6u0, 0, 1, -1) · (x - x0, y - y0, z - z0) = 0
Where (x0, y0, z0) is the coordinates of the specified point on the surface.
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PLS HELP 50 POINTS + BRAINLY!!!
A cell phone plan costs $100 to start. Then there is a $25 charge each month.
What is the total cost (start-up fee and monthly charge) to use the cell phone plan for 1 month? 6 months? Be sure to show your work.
What is the total cost for months?
Graph the cost of the cell phone plan over a period of two years, using months as the units of time. Be sure to label your axes and scale them by labeling each gridline with a number.
4. Is there a proportional relationship between time and the cost of the cell phone plan? Explain how you know.
5. Draw a line parallel to the line you graphed that goes through the point (0, 150). Suppose that this line represents the pricing plan for another company. What is the startup fee and monthly cost for this plan?
Answers
Answer:
Step-by-step explanation:
1. The total cost for 1 month is $125.
2. The total cost for 6 months is $210.
3. The total cost for months is 100+25m(m stands for number of months)
I can't graph it sorry
4. There is a proportional relationship because every month you have to pay 25 dollars.
5. Just draw a line with a different y-intercept.
GOOD LUCK GIVE ME BRAINLIEST!
Points A,B, C and D lie on circle M. Line segment BD is a diameter. What is the measure of angle ACD?
Answers
The measure of angle ACD for the given circle is 67.5 degree.
What is inscribed triangle?A triangle is inside a circle when a circle encircles it, and each vertex of the triangle touches the circle.
When a circle encircles a triangle, the triangle lies outside the circle and the circle makes one point contact with each of the triangle's sides. The triangle's sides are perpendicular to the circle.
Given that,
The inscribed angle CDA = 1/2(arc AC).
arc AC = 90 degree.
Then:
∠ CDA = 90 / 2
∠ CDA = 45
Triangle ACD is isosceles, so:
∠ ACD + ∠ CAD + ∠ CDA = 180 degree
Here, ∠ ACD = ∠ CAD
∠ ACD + ∠ACD + ∠ CDA = 180 degree
∠ ACD = 180-45 / 2
∠ ACD = 67.5 degree
Hence, the measure of angle ACD for the given circle is 67.5 degree.
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The correct question is:
Points A, B, C, and D lie on circle M. Line segment BD is a diameter.
Triangle A C D is inscribed within circle M. Point B is on the circle between points C and B. A line is drawn to connect points D and B. Lines are drawn from points C and A to point M to form a right triangle. Arcs C D and A D are congruent.
What is the measure of angle ACD?
45.0°
67.5°
112.5°
135.0°
Suppose Eric and Isaac both drive the same car, and have the same
deductible for car insurance. If Eric is five years younger, who is most likely to
pay a higher annual premium?
O
A. Isaac
O
B. Neither, they pay the same.
O
C. Can't tell from the information given
O
D. Eric
Answers
Answer:
eric
Step-by-step explanation:
just took the test
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Below is a drag and drop geometric proof. Complete the proof in your notebook. Click once to select an item at the bottom of the problem. Click again to drop the item in its correct place.
Prove C-2 as an activity.
Given: ∆ABC ~ ∆RST
∆DEF ~ ∆RST
To Prove: ∆ABC ~ ∆DEF
Answers
Let me fill in the statement reasoning for you:
Statement | Reasoning
∆ABC ~ ∆RST Given
∆DEF ~ ∆RST
∠A = ∠R, ∠D = ∠R Definition of ~ ∆
∠C = ∠T, ∠F = ∠T
∠A = ∠D,∠C = ∠F Transitivity
∆ABC ~ ∆DEF AA
When a research hypothesis does not predict the direction of a relationship, the test is ______. Group of answer choices direct positive one-tailed two-tailed
Answers
When a research hypothesis does not predict the direction of a relationship, the test is typically two-tailed.
A two-tailed hypothesis is used when there is no specific prediction about
the direction of the relationship between variables.
It simply states that there is a relationship between the variables being
studied, but does not specify whether the relationship will be positive or
negative.
In contrast, a one-tailed hypothesis predicts the direction of the
relationship (i.e. positive or negative) and is used when there is a clear
expectation about the direction of the effect. A direct positive hypothesis
predicts a positive relationship between variables.
for such more question on typically two-tailed.
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What part of an hour passes between 4:56 p.m. and 5:32 p.m.?
Answers
3/5 part of an hour passes in between two times given.
What is fraction?
A fraction represents a vicinity of a full or, a lot of typically, any variety of equal elements. once spoken in everyday English, a fraction describes what number elements of a precise size there ar,
Main body:
The time given are = 4:56 and 5:32
Total time spent between = 4+ 32
= 36 minutes
Total minutes in 1 hour = 60
So parts spent = 36/60
now simplifying we get.
= 3/5
Hence the answer is 3/5 .
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before comparing means, we need to test the relationship of the population variances. what null hypothesis would you use to determine if the population variances differ? group of answer choices population variance 1 equals population variance 2 population variance 1 differs from population variance 2 population variance 1 is less than population variance 2 population variance 1 exceeds population variance 2
Answers
The correct option is B, The null hypothesis to test if the population variances differ is population variance 1 differs from population variance 2.
Variance is calculated as the average of the squared differences of each data point from the mean. In other words, variance measures how far the data points are from their average value. A high variance indicates that the data points are spread out over a wider range, while a low variance indicates that the data points are clustered more tightly around the mean.
Variance is an important concept in statistical analysis because it helps to assess the reliability of data and to make inferences about the population from a sample. It is also used in many areas of research, such as finance, economics, and engineering, to measure the risk or uncertainty associated with a set of data. Variance is closely related to other statistical measures such as standard deviation, covariance, and correlation, and is often used in conjunction with these measures to gain a deeper understanding of the data.
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Complete Question:-
Before comparing means, we need to test the relationship of the population variances. what null hypothesis would you use to determine if the population variances differ?
a. population variance 1 equals population variance 2
b. population variance 1 differs from population variance 2
c. population variance 1 is less than population variance 2
d. population variance 1 exceeds population variance 2
URGENT I need help.
Plzzzzzzzzzzzzzzzzzzzzzz Its Attached
Answers
Answer:
what is you belling? yesterday y monday
what is the measure of angle OAC
Answers
Answer:
60
Step-by-step explanation:
Question 2 : Two lines meet at a point that is also the endpoint of a ray. Set up and solve an equation to find the value of a.
Answers
Answer:
you should draw it in your graph sis
give me some points i have question two
Step-by-step explanation:
Find the value of x in the triangle shown below.
102
48
Answers
Answer:
The sum of the angles of a triangle is always 180, so the answer is
180-102-48=30
Step-by-step explanation:
Estimate using rounding. 8.763 – 5.4
5
4
3
2
Answers
h(x)=12x+3 evaluate h(6)
Answers
Answer:
75
Step-by-step explanation:
Substitute 6 in for x:
12(6)+3 –––Multiply 12 by 6
72 + 3 –––Add 72 and 3
75 –––Your answer
a 10-question multiple-choice exam offers 5 choices for each question. jason just guesses the answers, so he has probability 1/5 of getting any one answer correct. you want to perform a simulation to determine the number of correct answers that jason gets. what would be a proper way to use a table of random digits to do this? one digit from the random digit table simulates one answer, with 5
Answers
By using a table of a random number in this manner, you can simulate the number of correct answers Jason might get on a 10-question multiple-choice exam with 5 choices for each question.
To perform a simulation using a table of random digits to determine the number of correct answers Jason gets on a 10-question multiple-choice exam, follow these steps:
1. Assign each answer choice a digit from 0 to 4. For example, A=0, B=1, C=2, D=3, and E=4.
2. Determine the correct answers for each question and note down the corresponding digits. For example, if the correct answers are A, B, C, D, and E for the first five questions, the correct answer digits would be 0, 1, 2, 3, and 4.
3. Select a starting point in the table of random digits. You can choose any point, as long as you use a consistent method to move through the table.
4. For each question, compare the random digit in the table to the correct answer digit. If the digits match, that means Jason guessed the answer correctly.
5. Move to the next random digit in the table for the next question, until you have simulated all 10 questions.
6. Count the number of correct answers based on matching digits and record the result.
7. Repeat steps 3 to 6 multiple times to get a more accurate estimate of Jason's expected number of correct answers. You can use different starting points in the table for each repetition.
8. Calculate the average number of correct answers from all the repetitions to estimate Jason's performance when guessing the answers.
By using a table of a random number in this manner, you can simulate the number of correct answers Jason might get on a 10-question multiple-choice exam with 5 choices for each question.
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Jeff buys a bag of cookies for $3.25. There is a tax on the cookies that is 2% of his total. How much does Jeff pay in total?
Answers
Answer:$3.19
Step-by-step explanation:
Answer: $3.32
Step-by-step explanation: Can be done 2 ways:
$3.25 x 0.02 (same as 2 %) = $0.065
$3.25 + $0.065 = $3.315 (round up to $3.32)
or
$3.25 x 1.02 (same as 100% cost plus 2% tax) = $3.315 (round up to $3.32)
The mean weight of newborn infants at a community hospital is 2.9 kg. A sample of seven infants is randomly selected and their weights at birth are recorded with a mean weight 3.2kg and a standard deviation 0.58kg. We want to investigate if there is a statistically significant increase in average weights at birth at the 1% level of significance. (a) State the null and alternative hypotheses. (b) Write down the conditions for selecting a suitable test statistic (C) Write down the critical value. (d) If the test statistic is calculated to be 1.37, what is the decision for a statistically significant increase in average weights at birth?
Answers
The mean weight of newborn infants, we want to investigate if there is a statistically significant increase in average weights at birth compared to the mean weight of 2.9 kg at a 1% level of significance.
(a) The null hypothesis (H0) states that there is no statistically significant increase in average weights at birth, and the alternative hypothesis (Ha) states that there is a statistically significant increase in average weights at birth. Symbolically, H0: μ = 2.9 kg and Ha: μ > 2.9 kg.
(b) The conditions for selecting a suitable test statistic include having a random and independent sample of weights. Additionally, since the sample size is small (n < 30), we can assume the distribution of weights follows a normal distribution.
(c) The critical value represents the value beyond which we reject the null hypothesis. In this case, since we want to test the hypothesis at the 1% level of significance, the critical value is determined based on the significance level and the degrees of freedom associated with the t-distribution.
(d) If the calculated test statistic is 1.37, we compare it to the critical value from the t-distribution. If the calculated test statistic is greater than the critical value, we reject the null hypothesis and conclude that there is a statistically significant increase in average weights at birth. If the calculated test statistic is less than or equal to the critical value, we fail to reject the null hypothesis and do not conclude a statistically significant increase in average weights at birth.
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The fair spinner shown in the diagram above is spun. Work out the probability of getting a factor of 25. Give your answer in its simplest form.
Answers
Answer: 2/5
Step-by-step explanation:
Factors could be referred to as numbers which divides a certain number without leaving a remainder.
Factor of 25 are ; 1, 5 25
The spinner has 5 faces
Number of faces which is a factor of 25 = 2 ( 1 and 5)
Therefore, probability of getting a factor of 25:
Probability = required outcome / Total possible outcomes
P(getting a factor of 25) = 2 / 5
A small organization is responsible for distributing two craft products made in a small community, these products are jam and bread. The marginal utility function for the jam is f(x) = 55–4x, and the marginal utility for the package of bread is given by g(x) = 37–x.
Find:
a) The total utility function of the jam.
b) The total utility function of bread.
c) If the consumer wants to buy 2 jars of jam and 3 packages of bread, which of the items will produce more utility.
Answers
3 packages of bread would produce more utility than 2 jars of jam
The total utility function of the jamThe marginal utility function of jam is given as:
f(x) = 55 - 4x
Integrate the above function to determine the total utility function
f'(x) = 55x - 2x^2
Hence, the total utility function of the jam is f'(x) = 55x - 2x^2
The total utility function of breadThe marginal utility function of bread is given as:
g(x) = 37 - x
Integrate the above function to determine the total utility function
g'(x) = 37x - 0.5x^2
Hence, the total utility function of the bread is g'(x) = 37x - 0.5x^2
The items that produce more utilityWe have:
Jam = 2 jars
Bread = 3 packages
Substitute 2 for x in f'(x) = 55x - 2x^2
f'(2) = 55 * 2 - 2 * 2^2
f'(2) = 102
Substitute 3 for x in g'(x) = 37x - 0.5x^2
g'(3) = 37 * 3 - 0.5 * 3^2
g'(3) = 106.5
106.2 is greater than 102
Hence, 3 packages of bread would produce more utility
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