Find the slope of the line passing through the points (4, -3) and (9, -3). slope:
Answers
m= 0.
Step-by-step explanation:1. Name the points.Point 1: (4, -3)
Point 2: (9, -3)
2. Calculate.Formula: \(m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)
\(m=\frac{(-3) -(-3) }{(9) -(4) }=\frac{-3+3 }{9-4}=\frac{0 }{5}=0\)
Answer:
slope = 0
Step-by-step explanation:
You need to find the slope of a line that goes through the points (4, -3) and (9, -3).
For that, we will apply the formula:
\(\bf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)
where (x₁, y₁) and (x₂, y₂) are points on the line.
We proceed to plug in the values:
\(\bf{m=\dfrac{-3-(-3)}{9-4}}\)
\(\bf{m=\dfrac{-3+3}{5}=\dfrac{0}{5}=\boxed{\bold{0}}\)
Therefore, the slope is 0
Related Questions
The Price of Pollo
In El Salvador, "Country Chicken" is the most popular fried chicken franchise
in the country. Like most fast-food establishments, they provide a carry-out
service on their menu. You can buy their chicken in several different
quantities: 2, 6, 9, 15, or 21 pieces per box.
Over the years, prices have steadily risen, as things have a way of doing in
many areas of modern life. For example, on July 1, 1993, a box of two
pieces cost 8.35 colones, and on December 31, 1995, that same purchase
would cost you 11.25 colones.
(Note: prices are given in their original Salvadorean currency, colones; $1 U.S
colones.)
Using these two data 'points', you can form a linear equation of the slope-inter
mx + b. The independent variable x is time; the dependent variable y represe
Your task for this problem is to:
1. Find this equation.
2. Use your equation to predict what the price should have been for a 2
July 1, 1999.
Answers
Answer:
Hope I helped!~
Step-by-step explanation:
To find the equation of the line, we can use the slope-intercept form of the equation:
y = mx + b
where m is the slope of the line and b is the y-intercept.
Using the two data points given, we can calculate the slope:
m = (11.25 - 8.35) / (1995 - 1993) = 1.95
To find the y-intercept, we can use one of the data points:
8.35 = 1.95(1993) + b
b = -3884.65
So the equation of the line is:
y = 1.95x - 3884.65
To predict the price of a box of two pieces on July 1, 1999, we can substitute x = 6 (since 1999 is 6 years after 1993) into the equation:
y = 1.95(6) - 3884.65
y = 11.7 - 3884.65
y = -3872.95
This gives us a negative price, which obviously does not make sense. It is likely that the price of a box of two pieces was not linearly increasing during this time period, or that there were other factors influencing the price. Therefore, we cannot use this equation to accurately predict the price of a box of two pieces on July 1, 1999.
f(x) = -2x^2+3x-6
how does the function open
Answers
What is lcm of 3,6,9
Answers
Answer:
lcm of 3,6,9 is 18
Write an equation in POINT-SLOPE for a line perpendicular to y=4x+5 and goes through (-3,4)
Answers
The equation of the line perpendicular to y=4x+5 and passes through (-3,4) is y=-1/4 (x-13).
Given that the line whose equation is to be found is perpendicular on y=4x+5 and passes through (-3,4).
We are required to find the equation of the line that is perpendicular to y=4x+5 and passes through (-3,4).
When the lines are perpendicular the product of slopes is -1.
Slope intercept form of the equation is y=mx+c in which m is slope of the line.
From the above equation and comparison with y=4x+5 the slope of the line is 4.
Suppose the slope of the line be m.
According to given rule the following will come:
m*4=-1
m=-1/4
Required equation will be as under:
y-4=-1/4 (x+3)
y=-x/4 -3/4+4
y=-x/4+13/4
y=-1/4 (x-13)
Hence the equation of the line perpendicular to y=4x+5 and passes through (-3,4) is y=-1/4 (x-13).
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Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.1 and a standard deviation of 1.47. Using the empirical rule, what percentage of American women have shoe sizes that are greater than 5.16?
Answers
97.5% of American women have shoe sizes that are no more than 11.47.
Lets try to solve the question,
Given values ,
Dev (u) = 8.47
Standard deviation (x) = 1.47
So we e have to find the percentage of American women whose shoe size's are not more than 11.47 P(x<11.47).
Lets find z score by using empirical formula.
=> \(z= (x-u) / a\)
=> \(11.47-8.47/1.5\)
=> \(z= 2\)
Now we have to find \(P(z < 2)\) . Using the empirical rule, we know that 97.5% data lies below 2 standard deviations above mean.
Therefore the 97.5% of American women have shoe sizes that are no more than 11.47.
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Fill in the blank by choosing the most appropriate word.
Regression equations are usually used to predict values of unavailable data. If the data do not closely model a particular type of function, then that type of function is not appropriate to use in statistical regression. The more closely data fit a model, the more _______________ predicted values will be.
a.
accurate
b.
quadratic
c.
scattered
d.
variable
Answers
The correct option is (a) i.e. Regression equations are usually used to predict values of unavailable data. If the data do not closely model a particular type of function, then that type of function is not appropriate to use in statistical regression. The more closely data fit a model, the more accurate predicted values will be.
What is Regression analysis?
A collection of statistical techniques known as regression analysis is used to estimate the associations between a dependent variable and one or more independent variables. It can be used to simulate the long-term link between variables and gauge how strongly the relationships between them are related.
Although there are non-linear regression techniques for more complex data and analysis, simple linear regression and multiple linear regression are the two fundamental types of regression. While multiple linear regression employs two or more independent factors to predict the outcome, simple linear regression just uses one independent variable to explain or predict the outcome of the dependent variable Y. (while holding all others constant).
Professionals in other industries, including banking and investment, might benefit from regression. Regression can also aid in predicting sales for a business based on external factors like the weather, past sales, GDP growth, and other variables. A popular regression model in finance for valuing assets and calculating capital expenses is the capital asset pricing model (CAPM).
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i need these done as quick as possible and i have no clue what to do.
Answers
Answer:
1. y = 4
2. x = 10
3. n = 6
4. m = 4
5. h = 2
Step-by-step explanation:
Hope this helps!!
Number two is (2)
Number three (3)
Number four (4)
Number five (11)
I think that how you do it
What is the slope of the line?
Answers
Answer:
2
Step-by-step explanation:
Every time the x value goes up one, the y value goes up 2.
A study was conducted to explore the effects of ethanol on sleep time. Fifteen rats were randomized to one of three treatments. Treatment 1 got only water (control). Treatment 2 got 1g of ethanol per kg of body weight, and treatment 3 got 2g/kg. The amount of REM sleep in a 24hr period was recorded, in minutes. Data are below:
Treatment 1: 63, 54, 69, 50, 72
Treatment 2: 45, 60, 40, 56
Treatment 3: 31, 40, 45, 25, 23, 28
Required:
a. Calculate 90% confidence intervals for all pairwise comparisons of treatment means using the uncorrected method. Create a letter code table to summarize your results, then interpret the results in context.
b. Now calculate 90% confidence intervals for all pairwise comparisons using the Bonferroni correction. Create a letter code table, and interpret your results in context. Do any of the results differ from part (a)?
Answers
Answer:
the answer is A
Step-by-step explanation: i have calculated this problom
Mikey johnson shipped out 34 2/7 pounds of electrical supplies . The supplies are placed in individual packets that weigh 2 1/7 pounds each . How many packets did he ship out ?
Answers
Mikey Johnson shipped out 34 2/7 pounds of electrical supplies. The supplies are placed in individual packets that weigh 2 1/7 pounds each. Therefore, Mikey shipped out 16 packets of electrical supplies.
To solve the problem, we can use the following steps.Step 1: Find the weight of each packet.
We are given that the weight of each packet is 2 1/7 pounds.
To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.
This gives us: 2 1/7 = (2 × 7 + 1) / 7= 15 / 7 pounds.
Therefore, the weight of each packet is 15/7 pounds.
Now, divide the total weight by the weight of each packet.
We are given that the total weight of the supplies shipped out is 34 2/7 pounds.
To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.
This gives us: 34 2/7 = (34 × 7 + 2) / 7= 240 / 7 pounds.
Therefore, the total weight of the supplies is 240/7 pounds.
To find the number of packets that Mikey shipped out, we can divide the total weight by the weight of each packet.
This gives us: 240/7 ÷ 15/7 = 240/7 × 7/15= 16.
Therefore, Mikey shipped out 16 packets of electrical supplies.
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Will give 100 points and Brainliest!
Take a factor out of the sqaure root: √3y^2, where y<0
Answers
Answer:
The solution in the photo aobve I think that is true
Step-by-step explanation:
I hope that is useful for you :)
Find the volume of a pyramid with a square base, where the side length of the base is
10.6
in
10.6 in and the height of the pyramid is
12.3
in
12.3 in. Round your answer to the nearest tenth of a cubic inch.
Answers
Answer:
V = 460.68
Step-by-step explanation:
V=(lwh)/3
Volume = (1/3) * base area * height
In this case, the base of the pyramid is a square with a side length of 10.6 inches, so the base area can be calculated as:
Base area = side length * side length
Let's calculate the base area first:
Base area = 10.6 in * 10.6 in
Next, we'll substitute the values into the volume formula:
Volume = (1/3) * (10.6 in * 10.6 in) * 12.3 in
Calculating this expression will give us the volume of the pyramid. Rounding the answer to the nearest tenth of a cubic inch will provide the final result.
Suppose Rita borrows $7000 at an interest rate of 18% compounded each year. Assume that no payments are made on the loan.
Answers
After 5 years, the amount owed on the loan will be approximately $15,792.34.
What is compounding?
Compounding refers to the process where interest is earned on both the principal amount and the accumulated interest of an investment. In other words, it is the addition of interest to the principal sum of a loan or deposit, which in turn earns interest in the following periods.
To find the amount owed after 5 years, we can use the formula for compound interest:
\(A = P(1 + \frac{r}{n})^{n*t}\)
where:
A = the amount owed after t years
P = the principal (initial amount borrowed)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the number of years
Plugging in the given values, we get:
\(A = $7000(1 + 0.18/1)^{1*5}\)
\(A = $7000(1.18)^5\)
A ≈ $15,792.34
Therefore, after 5 years, the amount owed on the loan will be approximately $15,792.34.
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Complete question: Suppose Rita borrows $7000 at an interest rate of 18% compounded each year. Assume that no payments are made on the loan. find the amount owed after 5 years.
Diane, Sam, and Boris served a total of 54 orders Monday at the school cafeteria. Diane served 6 fewer orders than Sam. Boris served 2 times as
many orders as Sam. How many orders did they each serve?
Number of orders Diane served:
Number of orders Sam served:
Number of orders Boris served:
Answers
Answer:
Let's denote:
- The number of orders Diane served as `D`
- The number of orders Sam served as `S`
- The number of orders Boris served as `B`
From the problem, we know:
1. `D + S + B = 54` (the total number of orders they served)
2. `D = S - 6` (Diane served 6 fewer orders than Sam)
3. `B = 2S` (Boris served 2 times as many orders as Sam)
We can substitute equations 2 and 3 into equation 1 to solve for the variables:
Substitute `D` and `B` in equation 1:
`(S - 6) + S + 2S = 54`
Combine like terms:
`4S - 6 = 54`
Add 6 to both sides:
`4S = 60`
Divide by 4:
`S = 15`
Now that we know `S = 15`, we can find `D` and `B` by substituting `S` into equations 2 and 3:
`D = S - 6 = 15 - 6 = 9`
`B = 2S = 2 * 15 = 30`
So, Diane served 9 orders, Sam served 15 orders, and Boris served 30 orders.
Match each letter to its correct term. Efficiency Unobtainable Impossible Inefficiency Underutilization 1. A 2. B 3. C
Answers
Each letter should be matched to its correct term as follows;
1. A ⇔ Efficiency.
2. B ⇔ Impossible.
3. C ⇔ Inefficiency.
What is a production possibilities curve?In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;
Technology is fixed.Resources are fixed.Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;
A ⇔ Efficiency: it represent points on the production possibilities curve.B ⇔ Impossible: it represent points outside the production possibilities curve.C ⇔ Inefficiency: it represent points on the interior of a production possibilities curve.Read more on production possibilities here: brainly.com/question/26460726
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Object A is moving at 30 ft per sec. Object B is moving at 20 mph.
Answers
Answer:
what we have to find or to prove.
Find the height of the tower using the information given in the illustration.
Answers
using SOH CAH TOA
Tan 85.144 =h/130
h=tan 85.144*130
h=1530.19 fr
Where does runoff end up?
A
ponds
B
streams
C
rivers
D
all of the above
Answers
Answer:
D all of the above is the answer
Answer:
D) All of the above
Runoff can end up in ponds, streams, and rivers.
Step-by-step explanation:
Hope it helps! =D
30
A restaurant used 231 eggs last week. Of these, 46 were brown in color. The remaining
eggs were white in color. Which equation can be used to solve for w, the number
of white eggs used last week?
A 231 +46w=0
B 46+ w = 231
C w = 231 +46
D 231 = 46w
Answers
D 231 = 46w can be used to solve for w, the number of white eggs used last week.
The ratio of men to women at a college is 7 to 5. how many women students are there if there are 350 men?
Answers
Please help me I’m stuck on this.
Oliver wants to play the gone fishing game at the carnival.He will use the graph to find the total cost (Y) to play a couple of games.If Oliver wants to play 4 games,how much will he pay?
If u need more information tell me in the comments :)
Answers
Answer:
The cost of the game is $7 .
Step-by-step explanation:
By looking at the graph, the line at x = 4 is equals to y = 7
Given f(x) = 2x2 − 3x + 7, find f(2.5)
Answers
Answer:
12
Step-by-step explanation:
Given that,
f(x) = 2x² - 3x + 7
To find the value of f ( 2.5 ), replace x with 2.5 and solve the equation.
Let us solve it now.
f(2.5) = 2(2.5)² - 3×2.5 + 7
f(2.5) = 12.5 - 7.5 + 7
f(2.5) = 12
Answer:
\(f(x) = 2 {x}^{2} - 3x + 7 \\ f(2.5) = 2 {(2.5)}^{2} - 3(2.5) + 7 \\ f(2.5) = 12.5 - 7.5 + 7 \\ \boxed{f(2.5) = 12}\)
f(2.5) = 12 is the right answer.Two functions are by f(x)=3x+18(x)= 2 x1. Find (g.f) (x).
Answers
The (g.f)(x) of the two functions is:
(g.f) (x) = 6x + 37
How to find (g.f)(x) of the two functions?A function is an expression that shows the relationship between the independent variable and the dependent variable. A function is usually denoted by letters such as f, g, etc.
To find (g.f) (x), follow the steps below:
1. Substitute the value of f(x) into the function g(x).
2. Then simplify the expression.
That is:
f(x) = 3x+18
g(x) = 2x+1
Thus, we have:
(g.f) (x) = g(f(x))
(g.f) (x) = g(3x+18)
(g.f) (x) = 2(3x+18) + 1
(g.f) (x) = 6x+36 + 1
(g.f) (x) = 6x + 37
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What is the percentage equivalent to 16 over 40?
Answers
Answer:
16/40 = 40%
Step-by-step explanation:
I divided 16/40 and got 0.4,
To turn a decimal into a percentage, either multiply by 100 or move the decimal to the right 2 times.
Area of a Circle This activity will help you meet these educational goals: Mathematical Practices—You will make sense of problems and solve them, reason abstractly and quantitatively, construct viable arguments and analyze the reasoning of others, and look for and express regularity in repeated reasoning. Directions Read the instructions for this self-checked activity. Type in your response to each question, and check your answers. At the end of the activity, write a brief evaluation of your work. Activity The diameter of each of the three circular lights in a traffic signal is 7 inches. In this activity, you will find the total area of the three lights. Part A Each circular light has a diameter of 7 inches. What is the radius of each light?
Answers
Answer: it's 14
Step-by-step explanation:
d = 2r d = 2(7) d = 14
On the number line, let Point K represent a value between Point Q and Point R.^QR+-8Which number could be the value of Point K?0 -7 12Ο Ο Ο-512-312-2 1/2
Answers
The correct answer is -5 1/2 (option B)
From the image, we would see tht point R is at the middle of the number line.
The number line is between -8 and 0. That is, it starts at -8 and ends at 0.
The mid point of 0 to -8 = (0-8)/2
The mid point = -8/2 = -4
Point R = -4
Point Q is the midpoint of -8 to R = -8 to -4
Distance = -4-(-8) = -4+8 =4
mid point = 4/2 = 2
This means the position of each midpoint increases by 2
Point Q = -8 + 2 = -6
Since point K is between Q and R, the number between them would be greater than -6 but less than R
The correct answer is -5 1/2 as this is the only number in the option that is greater than -6 but less than -4.
What tip did you leave if your meal cost 27 and you paid a total of 36
Answers
Answer:18%
Step-by-step explanation:
What is the equation of the line that passes through the point
(
2
,
1
)
(2,1) and has a slope of
−
5
2
−
2
5
?
Answers
The equation of the line is \(y = -\frac{5}{2} x + 6\)
What is the equation of a straight line?
A straight line's equation is y=mx+c where m is the gradient and c is the height at which the line crosses the y -axis, often known as the y -intercept.
The slope of a line is a measurement of its steepness and direction. Without using a compass, determining the slope of lines in a coordinate plane can assist forecast whether the lines are parallel, perpendicular, or none at all.
According to the given information:
Given:
slope m=\(-\frac{5}{2}\)
\((x_{1},y_{1} )\) = (2,1)
In slope intercept form, a line equation is:
\(y-y_{1} = m (x-x_{1} )\)
y-1 = \(-\frac{5}{2}\)(x-1)
y-1 = \(-\frac{5}{2}\)x + 5
y = \(-\frac{5}{2}\)x +6.
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Which conjecture is possible to prove?A. All quadrilaterals with at least one side length of 3 are congruent.B. All rectangles with at least one side length of 3 are congruent.C. All rhombuses with at least one side length of 3 are congruent.D. All squares with at least one side length of 3 are congruent.
Answers
All the sides of a square are equal, therefore, if at least one side length is congruent, all of them are.
Thus,
The correct answer is option D.
what are the x and y intercepts of the equation 2x-y=4
Answers
Answer:
x-intercept:(2,0)
y-intercept:(0,-4)
Step-by-step explanation: