What is an equation of the line that passes through the points (4, 3) and (7, 3)?
Answers
Answer:
y = 3
Step-by-step explanation:
We can see that the y coordinate is 3 the same for both points so we have a horizontal line that has the equation y = 3
or if we can't see right away you can solve for the equation of the line using the -General equation of a line in a slope intercept form is:
y = mx+ b , where m is the slope and b is the y-intercept and what we need to find to complete the equation
For the points (x1 = 4, y1 = 3) and (x2 = 7, y2 = 3)
m= (y2-y1)/ (x2-x1) = (3-3)/ (7-4) = 0/3 = 0
y = 0·x+ b
y = b = 3
so the equation going trough points (4, 3) and (7, 3) has the equation y = 3
Related Questions
Are 6 billion and 6000 million the same thing
Answers
Hello there! The answer is:
Yes, 6 billion and 6000 million are the exact same number.
Explanation:
Think about it, 600 separate millions would make 600 million. That means 6000 million will make 6 billion.
Therefore:
6000 million = 6,000,000,000 or 6 billion.
Daily Reminder:
Have fun, take breaks while doing your schoolwork, drink adequate amounts of water, and have an amazing life! :)
A national charity contacted 100 randomly selected people by phone, and 7 percent of those contacted made a donation to the charity. The population proportion of those who make a donation when contacted by phone is known to be p=0.05. For samples of size 100, which of the following best interprets the mean of the sampling distribution of the sample proportion of people who make a donation when contacted by phone?a. For all random samples of 100 people contacted by phone, the sample proportion of those who make a donation will be 0.05.b. For all random samples of 100 people contacted by phone, the sample proportion of those who make a donation will be 0.07.c. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.d. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.07.e. The probability that the mean of the sampling distribution of sample proportions is greater than 0.07 is 0.05.
Answers
For samples of size 100, the mean of the sampling distribution of the sample proportion of people who make a donation when contacted by phone can be interpreted as follows: The correct option is (c) The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
The population proportion of those who make a donation when contacted by phone is known to be p=0.05 and A national charity contacted 100 randomly selected people by phone, and 7 percent of those contacted made a donation to the charity.
This statement means that the sample proportion of those who make a donation is 0.07.The mean of the sampling distribution of the sample proportion of people who make a donation when contacted by phone is equal to the population proportion, i.e. 0.05.
Therefore, we can interpret that the mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
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In a game, you toss a fair coin and a fair six-sided die. If you toss a heads on the coin and roll either a 3 or a 6 on the die, you win $30. Otherwise, you lose $6. What is the expected profit of one round of this game? Round your answer to the nearest cent. Enter an expected loss as a negative number
Answers
Using probabilities, it is found that the expected profit of one round of this game is of $0.
What is probability?A probability is the number of desired outcomes divided by the number of total outcomes.
We are given that:
One of the two sides of the coin are heads.2 of the 6 sides of the dice are 3 or 6.Hence, since the coin and the dice are independent, the probability of winning is:
\(\text{P}=\dfrac{1}{2} \times\dfrac{2}{6} =\dfrac{1}{6}\)
The expected value is the sum of each outcome multiplied by its respective probability.
In this problem:
\(\frac{1}{6}\) probability of earning $30.\(\frac{5}{6}\) probability of losing $6.Then:
\(E(X)=30\dfrac{1}{6} -6\dfrac{5}{6} =5-5=0\)
The expected profit of one round of this game is of $0.
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Can someone please explain this to me??
"What is the value of the positive zero of this quadratic \(g(x)=x^2+4x-32\)?"
Answers
Answer:
4
Step-by-step explanation:
\(g(x) = {x}^{2} + 4x - 32 \\ plug \: g(x) = 0 \\ \implies \: 0 = {x}^{2} + 8x - 4x - 32 \\ \implies \: 0 = x(x + 8) - 4(x + 8) \\ \implies \: 0 = (x + 8)(x - 4) \\ \implies \: x + 8 = 0 \: \: or \: \: x - 4 = 0 \\ \implies \: x = - 8 \: \: or \: \: x = 4 \\ thus \: the \: value \: of \: positive \: zero \\ is \: 4\)
help me pls, thank you!
Answers
Answer:
Step-by-step explanation:
Ok, I am assuming you want help on the b) part.
1. False
Some whole numbers are irrational numbers - This is completely false as there is no whole number which is an irrational number. 0, 1, 2 can never be a number with a decimal.
2. True
Some rational numbers are not whole numbers. - This is true. For example, 3/4 is a rational number but it is not a whole number.
3.False
Some irrational numbers are not integers - This is partially false as the wording of the question is wrong. It should be ALL irrational numbers are not integers because an integer cannot have a decimal place.
4. False
All rational numbers are integers - This is again, partially false as the wording of the question is again wrong. It should be SOME rational numbers are integers. For example, 1/2 is a rational number but it is not an integer.
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determine whether s is a basis for p3. s = {3 − 2t2 t3, −4 t2, 2t t3, 6t}
Answers
To determine whether the set s = {3 − 2t^2 t^3, −4 t^2, 2t t^3, 6t} is a basis for p3 (the vector space of polynomials of degree at most 3), we need to assess whether the vectors in s are linearly independent and whether they span p3.
To check for linear independence, we set up a linear combination of the vectors in s, equating it to the zero polynomial. By equating the coefficients of corresponding powers of t to zero, we can solve the resulting system of equations. If the only solution is the trivial solution (all coefficients are zero), then the vectors in s are linearly independent.
Next, we verify whether the vectors in s span p3. We need to determine if every polynomial of degree at most 3 can be expressed as a linear combination of the vectors in s. If for any polynomial in p3, we can find appropriate coefficients such that it can be expressed as a linear combination of the vectors in s, then s spans p3.
If the vectors in s are both linearly independent and span p3, then s forms a basis for p3. If either condition is not satisfied, s is not a basis for p3.
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What is the value of x in the equation below 1/3(12x-24)=18? 2 6 8 10
Answers
Answer:
x = 6
Step-by-step explanation:
solve the equation for x
1/3(12x-24)=18
distribute
(1/3)(12x) - (1/3)(24) = 18
4x - 8 = 18
add 8 to both sides
4x = 24
divide each side by 4
x = 6
hope this helps!
Answer:
6
Step-by-step explanation:
2 less than the square of a number
Answers
I need help with this one it’s only 2 questions
Answers
Answer:
Step-by-step explanation:
Ok so first of all start off with the entire percentage of the circle, also known as 100%, then add the remaining percantages,
48+9+7+5= 69
Subract 100% by 61
Answer: 31
answer please using the screen shot listed. For calc
Answers
The left right hand derivative is 3.
The left hand derivative is 2.
The function is not differentiable at x = 1.
When x < 1,
given that the function is, f(x) = 2x² - 2x - 1
Differentiating with respect to 'x' we get, f'(x) = 4x - 2
When x \(\geq\) 1,
given the function is, f(x) = 3x - 3
Differentiating with respect to 'x', f'(x) = 3
Now, left hand derivative,
f'(1 -) = (4x - 2) at 1 = 4*1 - 2 = 4 - 2 = 2
f'(1+) = 3
Since, left hand derivative and right hand derivative for given function at x = 1 is not equal, so the function is not differentiable at x = 1.
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Write an equation for the description.
Two-thirds a number x plus 5 is 8.
Answers
Answer:
2/3x+5=8
Step-by-step explanation:
That’s the way I would do it hope it isn’t wrong :)
Puzzle Four
It's Friday and you are leaving school. You are going to the pizza palace and
then the movies with your friends. After the movies you go home and
Saturday you wake up to spend the day at the park and then go to the
school to play on the basketball court. After a very active day you go home
to sleep. Determine the total distance you traveled on Friday and Saturday
if you always took the most direct route (HINT: Find the hypotenuse). Each
cell on the graph represents one mile. The total distance traveled will
unlock puzzle fourl Round all your answers to the nearest hundredth
Mall
School
Pizza Palace
Home
Park
Movis
Theatre
Answers
Answer:
is it 49
Step-by-step explanation:
Answer:
49
Step-by-step explanation:
Diego is sailing the ocean, and his ship is low on supplies. He needs to reach land and restock. Looking at his map, Diego estimates his ship's location and marks it with an \text{X}Xstart text, X, end text shown below at (-2,-4)(−2,−4)left parenthesis, minus, 2, comma, minus, 4, right parenthesis. 4 points on a coordinate plane. The point labeled, "Island A," is at -3, 1. The point labeled, "Island B," is at 3, -6. The point labeled, "Island C," is at -6, -7. The point labeled, "X," is at -2, 4. Graph units are in kilometers. What is the distance from Diego's ship to the closest island? Round the final answer to the nearest tenth of a kilometer. Do not round intermediate calculations. \text{ km} km
Answers
Answer:
5 kilometers
Step-by-step explanation:
Just use distance formula for each island to his boat
The distance between is the number of units between them, and the distance from Diego's ship to the closest island is 5.4 units
What is a point coordinate?A point coordinate is the location of a point on the coordinate plane
From the question, the coordinate of point X is:
X = (-2, -4)
The closest island to point X is the island B, and the coordinate is:
B = (3, -6)
The distance is then calculated using:
XB =√[(x₁ - x₂)² + (y₁ - y₂)²]
So, we have:
XB =√[(-2 - 3)² + (-4 + 6)²]
Evaluate
XB = 5.4
Hence, the distance from Diego's ship to the closest island is 5.4 units
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100 POINTSSS...just pls help and dont answer just for points...Which linear inequality is represented by the graph?
y Three-halvesx + 3
y > Two-thirdsx + 3
y < Three-halvesx + 3
Answers
Answer:
y > Two-thirdsx + 3
Step-by-step explanation:
Hope this helped!
Answer: is 2/3 i got this because rise over run is how we go so i started at the point (0,3) than went up 2 spaces than right 3 so overall the answer is 2/3. B
Step-by-step explanation:
i hope this helps if it does lmk and have a brilliant day :D with a smile of course
What is dy if y=√(1 – x³)? Select one: A. 3(1-x²)² B. 3/ x² (1-³) 3 C. √(1-x²) 3 T² 2 /(1-2¹) D. None of the answers is correct.
Answers
Given function:y = √(1 – x³)We need to find dy/dx.As per the chain rule of differentiation, if y = f(u) and u = g(x), then the derivative of y with respect to x is given by dy/dx = dy/du * du/dx.
Now, let u = 1 – x³. Then, y = √u ⇒ y = u^(1/2).
dy/dx = dy/du * du/dxdy/du = 1/(2√u) = 1/(2√(1 – x³))du/dx = -3x²Therefore, dy/dx = dy/du * du/dx = 1/(2√(1 – x³)) * (-3x²) = (-3x²)/(2√(1 – x³)).
Therefore, (A) 3(1 - x²)².Option (A) is the correct answer.
The given function is y = √(1 – x³) and we need to find dy/dx. As per the chain rule of differentiation, if y = f(u) and u = g(x), then the derivative of y with respect to x is given by dy/dx = dy/du * du/dx.
Let u = 1 – x³. Then, y = √u ⇒ y = u^(1/2).
We need to find dy/dx.dy/dx = dy/du * du/dxdy/du = 1/(2√u) = 1/(2√(1 – x³))du/dx = -3x².
Therefore, dy/dx = dy/du * du/dx = 1/(2√(1 – x³)) * (-3x²) = (-3x²)/(2√(1 – x³)).
Thus, dy/dx = (-3x²)/(2√(1 – x³)).Therefore, the correct option is (A) 3(1 - x²)².
The derivative of the given function y = √(1 – x³) with respect to x is (-3x²)/(2√(1 – x³)) and the correct option is (A) 3(1 - x²)².
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Amy has a box that is 6 1/2 feet long, 3.25 feet wide, and 2 feet high. What is the volume of the box? V=lwh
Answers
Answer:
42.25 feet ³
Step-by-step explanation:
Volume of the box = length × width × height
Length = 6 1/2 feet = 6.5 feet
Width = 3.25 feet
Height = 2 feet
Volume of the box = length × width × height
= 6.5 feet × 3.25 feet × 2 feet
= 42.25 feet ³
Volume of the box = 42.25 cubic foot
1. a certain college wants to estimate the amount of time students, who live off campus, spend commuting to classes each week. a random sample of 45 off-campus students is surveyed. a) identify the population and sample for this study. b) what data is being collected? what type of data is this? c) what type of study is this?
Answers
The objective of this research is to collect data on a specific component of the off-campus student population.The amount of time they spend travelling to courses each week.
a) The population for this study is all off-campus students at this college, and the sample is a random sample of 45 off-campus students who are polled. The sample is chosen at random to be representative of the entire population.
b) The data being gathered is the amount of time the surveyed students spend each week travelling to school. Because it reflects a numerical measurement, this is quantitative data. This information will be used to calculate the average commuting time for off-campus students and to identify any possible concerns or areas for improvement in commuting.
c) This is a descriptive research, since it seeks to characterise and summarise the features of the off-campus student population in terms of commuting time. The study's purpose is to better understand off-campus students' commuting patterns and gather ideas into how to enhance their commuting experience.
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how many moles of calcuim oxide will be produced when 1.60 moles of iron(iii) oxide reacts with calcuim phosphate that yeilds iron(iii) phosphate and calcuim oxide
Answers
The reaction will produce 4.8 mol of CaO.
How does a mole work?
The unit of measurement used by chemists known as a mole is very significant. In the same way that having a dozen eggs implies you have twelve eggs, having a mole of anything indicates you have 602,214,076,000,000,000,000,000 of that thing.
When measuring very small objects like atoms, molecules, or other particles, chemists must use moles.
The balanced equation is
Fe₂O₃ + Ca₃(PO₄)₂ ⟶2FePO₄ + 3CaO
You want to convert moles of Fe₂O₃ to moles of CaO.
The molar ratio is 3 mol CaO:1 mol Fe₂O₃.
Moles of CaO = 1.6 mol Fe₂O₃ × (3 mol CaO/1 mol Fe₂O₃)
Moles of CaO = 4.8 mol CaO
The reaction will produce 4.8 mol of CaO.
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The complete question is -
how many moles of calcium oxide will be produced when 1.6 moles of Iron(III)oxide reacts with calcium phosphate according to the following (unbalanced) reaction: ____ Fe2O3 + ____ Ca3(PO4)2 —> Fe(PO4) + CaO
Please help I will give brainliest.
Answers
Answer:
linear................
How many possible outcomes are there in the outcomes space? 30 Hot PCOS Plot How many elements are in the event of getting different numbers without repetitions? 6 64 3 How many elements are in the event of getting different numbers without repetitions but the second number must be a 4?
Answers
The summary of the results is as follows:How many possible outcomes are there in the outcomes space.- 36 How many elements are in the event of getting different numbers without repetitions. - 30 How many elements are in the event of getting different numbers without repetitions but the second number must be a 4? - 6
There are six possible outcomes in the outcomes space. Let us solve each part of the question.How many possible outcomes are there in the outcomes space?The possible outcomes in the outcomes space for the given problem is calculated by multiplying the number of outcomes of the first roll by the number of outcomes of the second roll.Number of possible outcomes of each roll
= 6 (as there are six faces on a dice)Total possible outcomes in the outcomes space
= 6 × 6
= 36So, there are 36 possible outcomes in the outcomes space.How many elements are in the event of getting different numbers without repetitions?In this case, the two rolls are independent. This means the first roll doesn't affect the second roll. Thus, all possible outcomes with different numbers are 6 × 5
= 30. So, there are 30 elements in the event of getting different numbers without repetitions.How many elements are in the event of getting different numbers without repetitions but the second number must be a 4?In this case, we can have any one of the six numbers in the first roll. Then, only one number 4 is left for the second roll. Thus, there are 6 possible outcomes where the second number is a 4. Hence, there are 6 elements in the event of getting different numbers without repetitions but the second number must be a 4.The summary of the results is as follows:How many possible outcomes are there in the outcomes space.- 36 How many elements are in the event of getting different numbers without repetitions. - 30 How many elements are in the event of getting different numbers without repetitions but the second number must be a 4? - 6
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Which equation has exactly one solution in common with the equation y=6x-2?
A. 18x - 3y = 6
B. 1/2y = 3x - 2
C. 2y = 4x - 12
D. 18x - 12 = 3y
Answers
Answer:
A. 18x - 3y = 6
Step-by-step explanation:
By taking 3 common from the terms 18x and 3y we get,
3 (6x-3y) = 6
or, 6x - y = 6/3
or, 6x - y = 2
And,
The equation becomes,
y = 6x - 2
The equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.
What is a system of equations?A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
By taking 3 commons from the terms 18x and 3y we get,
3 (6x-3y) = 6
6x - y = 6/3
6x - y = 2
The equation becomes,
y = 6x - 2
Therefore, the equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.
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Someone please help me
Answers
The Equation for parallel line is: y= 4x - 13
The Equation for perpendicular line is: y= 1/4 x + 2
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
The passing point is (4, 3).
Now, the slope of given line
= Rise / Run
= 4 / 1
= 4
So, the slope for parallel line is 4 and for perpendicular line is -1/4.
Now, the line passes through (4, 3)
For parallel line
y= 4x+ b
3 = 4(4)+ b
3- 16 = b
b= -13
So, Equation for parallel line is: y= 4x - 13
For Perpendicular line
y= 1/4 x+ b
3 = 1/4(4)+ b
3- 1 = b
b= 2
So, Equation for Perpendicular line is: y= 1/4 x + 2
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asap plssssss helpppppppp
Answers
Answer:
Answers are below.
Step-by-step explanation:
1. b - \(c^{2}\)
2. 24/2a
3. 150 - (6 + b)
4. 2c + 10
5. 35 - m
6. 4m
7. (g + 4) 2
8. m - 5 / 4
hope this helps and is right. p.s. i really need brainliest :)
Consider results of 20 randomly chosen people who have run a marathon. Their times, in minutes, are as follows: 137, 143, 153, 162, 168, 176, 190, 192, 196, 203, 218, 223, 236, 243, 252, 269, 271, 276, 283, 287. Calculate a 99% upper confidence bound on the mean time of the race. Assume distribution to be normal. Round your answer to the nearest integer (e.g. 9876). u
Answers
According to the question we have the 99% UCB on the mean time of the race is 223.
The formula for finding the upper confidence bound (UCB) is UCB = Mean + (Zα/2)(σ/√n), where Mean is the sample mean, Zα/2 is the z-score for the desired level of confidence, σ is the population standard deviation (which is not given, so we'll use the sample standard deviation instead), and n is the sample size.
We are given the sample of times as follows:137, 143, 153, 162, 168, 176, 190, 192, 196, 203, 218, 223, 236, 243, 252, 269, 271, 276, 283, 287.
We'll need to calculate the sample mean and standard deviation before we can find the UCB. Using a calculator, we get: mean ≈ 207.65s ≈ 48.41 Next, we'll use a table or calculator to find the z-score for a 99% confidence interval, which is Zα/2 = 2.576.
Now we can plug in the values we know to get the UCB:UCB = mean + (Zα/2)(σ/√n)UCB ≈ 207.65 + (2.576)(48.41/√20)UCB ≈ 223.02 .Therefore, the 99% UCB on the mean time of the race is 223.
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If events A and B are non-overlapping events, how do you find the probability that one or the other occurs?
Answers
The probability of two non-overlapping events A or B happening is:
p(A or B) = p(A) + p(B)
if you add an image of the question you are trying to answer, I can explain it better.
Answer:
If events A and B are non-overlapping events.
P(A or B) = P(A) + P(B)
To find the probability that one or the other occurs, you add the probability of both events occurring together.
PLEASEEEE SOMEONE HELP I GIVE AS MUCH POINTS :’( Thank you!
Answers
The approximate area of the trapezoid is determined as 13.95 unit².
What is the approximate area of the trapezoid?The approximate area of the trapezoid is calculated as follows;
Area = ¹/₂(b₁ + b₂)h
Where;
b₁ and b₂ are the lengths of the parallel sidesh is the heightThe y-coordinates of the points on the curve at x=3/2 and x=4 is calculated as follows;
y(3/2) = - (3/2)²/2 + 3/2 + 5
y(3/2) = -9/8 + 3/2 + 5
y(3/2) = 5.375
y(4) = -4²/2 + 4 + 5
y(4) = -8 + 9
y(4) = 1
h = 5.375 - 1 = 4.375
The approximate area of the trapezoid is calculated as;
Area = ¹/₂(5.375 + 1) x 4.375
Area = 13.95 unit²
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I can’t figure out the answer to this, does anybody know?
Answers
Answer:
Option (2).
Step-by-step explanation:
Let f(x) and g(x) are the two functions with domain A and B.
Then (fg)(x) will be the function with domain A∩B
(fg)(x) = f(x)g(x) Domain : A∩B
In this question two functions are,
c(x) = \(\frac{5}{(x-2)}\) and d(x) = (x + 3)
Domain : (x - 2) > 0 ⇒ x > 2
and (x - 2) < 0 ⇒ x < 2
Or domain of (cd)(x) will be C = (-∞, 2)∪(2, ∞).
Similarly, d(x) = x + 3
Domain : All real numbers
: D = (-∞, ∞)
(cd)(x) = c(x)d(x)
= \(\frac{5}{(x-2)}\times (x+3)\)
Domain of (cd)(x) will be,
Domain : C∩D = (-∞, 2)∪(2, ∞) ∩ (-∞, ∞)
: (-∞, 2) ∩ (2, ∞)
Therefore, domain of (cd)(x) will be all real values except 2.
Option (2) will be the answer.
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Evaluate sec (11pi/6) without using technology
Answers
Variable outcome probability price 1,500 0. 3 350 0. 7 yield (ton) 11 0. 55 4 0. 45 cost ($) 3500 0. 25 7500 0. 75 what is the net return if price =350, yield = 11 and cost = 7,500?
Answers
The net return, in this case, is -$3,650, indicating a negative return. A negative net return suggests that the investment is not profitable and results in a loss of $3,650.
The net return can be calculated by multiplying the price and yield, and then subtracting the cost. In this scenario, with a price of $350, yield of 11 tons, and a cost of $7,500, the net return is calculated as follows:
Net Return = (Price * Yield) - Cost
= ($350 * 11) - $7,500
= $3,850 - $7,500
= -$3,650
The net return in this case is -$3,650, indicating a negative return. This means that the cost of $7,500 exceeds the revenue generated from the given price and yield values of $3,850. A negative net return suggests that the investment is not profitable and results in a loss of $3,650. It is important to consider these financial aspects when making decisions related to pricing, yield, and cost in order to achieve positive net returns and profitability.
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Professor Burns attended a computer seminar at IBM. The college reimburses Professor Burns at $. 41 per mile. Professor Burns traveled 520,4 miles . What will the college pay Professor Burns? Round to the nearest cent .
Answers
Answer:
213.36
Step-by-step explanation:
520.4 x 0.41 = 213.36