Find the slope of a line that passes through the points (3, -5) and (-7,5)
Answers
Answer:
Slope = -1
Step-by-step explanation:
\((3, -5 ) = (x_1,y_1) \\ (-7,5)=(x_2,y_2)\)
\(Slope = \frac{y_2-y_1}{x_2-x_1} \)
Substitute values into the given equation
\(slope \: = \frac{5 - ( - 5)}{ - 7 - 3} \\ \\ slope \: = \frac{5 + 5}{ - 7 - 3} \\ \\ \)
\(slope \: = \frac{10}{ - 10} \\ slope \: = - 1\)
Related Questions
What are the coordinates of the pre image of f (-2,4) (4,2) 2,-4
Answers
The coordinates of the pre-image of F include the following: A. (-2, 4).
What is a reflection across the x-axis?In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate changes from positive to negative.
Furthermore, a reflection across the line y = -x would interchange (switch) the x-coordinate and y-coordinate in order to form a negative inverse of the parent function and this is given by this transformation rule:
(x, y) → (y, x)
Ordered pair F = (4, -2) → Ordered pair F' = (-2, 4).
In conclusion, we can reasonably infer and logically deduce that the coordinates of the pre-image of F after a reflection across the line y = -x are (-2, 4).
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assuming we are testing a hypothesis using the one-way anova test with more than 2 independent normally distributed populations, how can the f-statistic be calculated?
Answers
One measure we use to determine the F-statistics is the ratio of the variability within and across groups when we are doing the one way-ANOVA test.
We are interested in discovering whether there are significant differences between the means of the populations when doing a one-way ANOVA test on more than two independent normally distributed populations. A test statistic used to reach this conclusion is the F-statistic.
The ratio of the variability of the between group and within group is the a tool that we use to find the F-statistics.
F is equal to (SSB/k-1) / (SSW/N-k)
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Look at the equation below.
Answers
Answer:
8/3
Step-by-step explanation:
If J=91 ,L=16 , and K=73 , list the sides of triangle JKL in order from smallest to largest
A. JL, KJ, LK
B. LK, JL, KJ
C. KJ, JL, LK
D. KJ, LK, JL
Answers
JL, LK, JK are the smallest angle of a triangle is located across from its smallest side. The biggest side is on the other side of the biggest side.
How are the angles arranged, from greatest to smallest?JKL, where K is the specified angle, is an example.Acute Angles are the smallest angles. An acute angle is a particular kind of angle that measures less than 90°.an acute angle. The planar surface typically produces obtuse angles.Straight angle. Right angle.Subtract the squares of the other sides, then calculate the square root to determine the shorter side.Reflex angle at its widest point.JL, LK, JK are the smallest angle of a triangle is located across from its smallest side. The biggest side is on the other side of the biggest side.To learn more about smallest angle refer to:
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Work in groups of two to three (If possible). For each of the activities described have the required number of people in your group (usually 1) perform the activity as the others observe. Following the performance and observation, record what was seen. Make sure that you understand the activity prior to performance. The observers should choose their positions carefully with reference to the planes of motion.
Laboratory Report - Reflexes
1. Long Jump - perform 2 trials of each of these jumps in turn. Record the relative length of each jump
(which jumps are longer than others).
Assign a rank order by distance:
_____a. Use a bobbing motion with the knees and arms.
_____b. Start the jump from a position of deep knee flexion, with no knee motion prior to the start of the jump.
_____c. Start the jump with the knees fully extended, using no knee motion.
Answers
a. Jump with a bobbing motion: Shortest jump b. Jump from deep knee flexion: Intermediate jump
c. Jump with fully extended knees: Longest jump ,In the long jump activity, three different jumping techniques were observed:
a) The bobbing motion involved bending and extending the knees and arms during the jump.
b) Starting from deep knee flexion meant initiating the jump from a position with knees bent and no motion prior to the jump.
c) Starting with fully extended knees involved jumping with the knees straight and no motion before the jump. During the performance, the lengths of each jump were measured. Trial results consistently indicated that the jump with the bobbing motion had the shortest length, while the jump starting from deep knee flexion had an intermediate length. The jump with fully extended knees consistently achieved the longest distance.
The observations reveal that starting the jump with fully extended knees and no knee motion results in the longest jump. The bobbing motion with knee and arm movements leads to the shortest jump. Deep knee flexion position falls between the two in terms of jump length.
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A curve is defined by the parametric equations x(t) = e^-3t and y(t) = e^3t. What is d^2y/dx^2 in terms of t?
Answers
The second derivative of y with respect to x is 0 in terms of t.
To find the second derivative of y with respect to x, we need to use the chain rule and differentiate both x and y with respect to t, and then divide dy/dt by dx/dt.
First, we need to find dx/dt and dy/dt:
dx/dt = d/dt(e^-3t) = -3e^-3t
dy/dt = d/dt(e^3t) = 3e^3t
Now, we can find dy/dx:
dy/dx = (dy/dt)/(dx/dt) = (3e^3t)/(-3e^-3t) = -e^6t
Finally, we can find the second derivative of y with respect to x:
d^2y/dx^2 = d/dx(dy/dx) = d/dx(-e^6t) = 0
Therefore, the second derivative of y with respect to x is 0 in terms of t.
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1: name a plane parallel to plane WXT
2: name 2 segments parallel to VU
3: name 2 segments parallel to SW
4: name 2 segements skew to XY
5: name 2 segments skew to VZ
Answers
1: A plane parallel to plane WXT can be named plane ABC, as long as it does not intersect or coincide with plane WXT.
2: Two segments parallel to VU can be named AB and CD, as long as they do not intersect or coincide with segment VU. 3: Two segments parallel to SW can be named XY and ZW, as long as they do not intersect or coincide with segment SW. 4: Two segments skew to XY can be named AB and CD, as long as they do not lie in the same plane as segment XY and do not intersect or coincide with it. 5: Two segments skew to VZ can be named XY and AB, as long as they do not lie in the same plane as segment VZ and do not intersect or coincide with it.
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Determine whether the two lines given below are Parallel, perpendicular, or neither.A) ParallelB) PerpendicularC) Neither
Answers
We can determine whether two lines are parallel, perpendicular, or neither using the slopes of the lines.
Two lines are parallel when both of the lines have the same slope, for example:
\(\begin{gathered} y=-2x+3 \\ y=-2x-4 \end{gathered}\)Two lines are perpendicular to each other when the product between the lines is equal to -1, for example:
\(\begin{gathered} y=-2x+5 \\ y=\frac{1}{2}x+3 \end{gathered}\)if none of the conditions stated before the lines are neither parallel nor perpendicular.
In the given exercise:
\(\begin{gathered} y=-\frac{1}{3}x+2 \\ y=3x-5 \end{gathered}\)both lines have different slopes, then they are not parallel.
Find the product between the slopes,
\(\begin{gathered} m_1\cdot m_2 \\ -\frac{1}{3}\cdot3 \\ -1 \end{gathered}\)Answer:
The lines shown are perpendicular to each other because the product between the slopes is equal to -1.
What annual payment is required to pay off a four-year, $27,000 loan if the interest rate being charged is 9 percent EAR? What would the monthly payments be for the same loan assuming the same interest rate? Round time value factors to 3 decimal places and final answers to the nearest dollar amount
Answers
The monthly payments for the same loan would be approximately $694.12.
To calculate the annual payment required to pay off a four-year, $27,000 loan at an interest rate of 9 percent EAR, we can use the formula for the present value of an ordinary annuity:
PV = PMT * (1 - (1 + r)^(-n)) / r
Where:
PV = Loan amount = $27,000
PMT = Annual payment
r = Interest rate per period = 9% = 0.09
n = Number of periods = 4
Plugging in these values into the formula, we can solve for PMT:
$27,000 = PMT * (1 - (1 + 0.09)^(-4)) / 0.09
Simplifying the equation, we have:
$27,000 = PMT * (1 - 0.708222) / 0.09
$27,000 = PMT * 0.291778 / 0.09
PMT = $27,000 * 0.09 / 0.291778
PMT ≈ $8,329.40 (annual payment)
To calculate the monthly payments for the same loan, we can divide the annual payment by 12:
Monthly payment = $8,329.40 / 12
Monthly payment ≈ $694.12
Therefore, the monthly payments for the same loan would be approximately $694.12.
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scores on a certain test are normally distributed with a variance of 22. a researcher wishes to estimate the mean score achieved by all adults on the test. find the sample size needed to assure with 95 percent confidence that the sample mean will not differ from the population mean by more than 2 units.
Answers
The sample size must be 30 for the sample mean to vary from the population mean by no more than 2 units.
Variance = 22
σ² = 22
σ = √22
Make a 95% confidence interval with a sample mean that departs from the population mean with no more than 2 units.
The error margin is determined as follows:
Z critical × (σ ÷ √n)
Substitute the values,
Z critical at \(\alpha_{0.05}\) = 2.33
2 = 2.33 × (√22 ÷ √n)
√n = (2.33 × √22) ÷ 2
√n = 5.464
n = 5.464²
n = 29.85 ≈ 30
Therefore, The sample size must be 30 in order for the sample mean to deviate from the population mean by no more than two units.
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More than three-quarters of the nation’s colleges and universities now offer online classes, and about 23% of college graduates have taken a course online. 39% of those who have taken a course online believe that online courses provide the same educational value as one taken in person, a view shared by only 27% of those who have not taken an online course. At a coffee shop you overhear a recent college graduate discussing that she doesn’t believe that online courses provide the same educational value as one taken in person. What’s the probability that she has taken an online course before?
Answers
Answer:
0.1997 or 19.97%
Step-by-step explanation:
Have taken course online (H) = 23%
Have NOT taken course online (N) = 77%
Have taken course online and don't believe they provide same value (H&D) = 61%
Have NOT taken course online and don't believe they provide same value (N&D) = 73%
The probability that a student has taken a course online given that she does not believe that online courses provide the same educational value as one taken in person is;
\(P(H|D)=\frac{P(H)*P(H\&D)}{P(H)*P(H\&D)+P(N)*P(N\&D)}\\P(H|D)=\frac{0.23*0.61}{0.23*0.61+0.77*0.73}\\P(H|D)=0.1997\)
There is a 0.1997 or 19.97% chance that she has taken an online course before.
Evaluate 3x + y when x = 1/3 and y = -7/4
3x + y =
Answers
Answer:
3*1/3+(-7)/4
1-7/4
4-7/4
-3/4
Answer:
-3/4 , -0.75
Step-by-step explanation:
4a 3b - C
per a - 3;
b = -1;
1; C = -2
Answers
Answer:
4×(-3)=12,3×(-1)=-3;+3,c=-2
PLEASE HELP FOR NUMBER 26 AND 27
Answers
Answer:
Step-by-step explanation:
You can't see the diagram for 27. We do not know what the entire question consists of.
26
This is a calculator question. Your calcualator has a ^ or y^x or x^y key.
To solve this problem, use one of these keys.
225 y^x 0.5 = 15 There are two answers: - 15 and 15. The question only wants 15.
If you repost 27, I'll come back and do it.
A shipping company charges a $3 flat fee for a package, plus a fee based on the weight of the package. The company charges $0.75 per pound, plus an additional $0.50 for every pound over 12 pounds. . George plans on sending a package that is over 12 pounds. He has $27 to spend on shipping. What is the maximum number of pounds that this package could be? The Maximum number of pounds is
Answers
Answer:
32 pounds
Step-by-step explanation:
$3 flat fee for a package, plus a fee based on the weight of the package. The company charges $0.75 per pound, plus an additional $0.50 for every pound over 12 pounds.
The first step would be to derived an equation
$3 + $0.75
3 + 0.75x
Where x = number of pounds
George plans on sending a package that is over 12 pounds. He has $27 to spend on shipping.
Hence,
3 + 0.75x = 27
0.75x + 3 = 27
0.75x = 27 - 3
0.75x = 24
x = 24/0.75
x = 32 pounds
The maximum number of pounds that this package could be is 32 pounds
Mr Rai sale a watch for Rs 2035 a profit of 10% how much money has he paid to buy the also find his profit amount
Answers
Answer:
He paid Rs 1,850 to buy the watch
Profit = Rs 185
Step-by-step explanation:
Cost price = x
Profit = 10% of x
Selling price = Rs 2035
Profit = Selling price - cost price
10% of x = 2035 - x
0.1x = 2035 - x
0.1x + x = 2035
1.1x = 2035
x = 2035 / 1.1
x = 1,850
Cost price = x = Rs 1,850
Profit = 10% of x
= 10% of 1,850
= 0.1 × 1850
= 185
Profit = Rs 185
(Statistics)Which of the following is NOT a characteristic of a least squares regression line?
Answers
Based on the information given, the option that's correct is E. All the above are characteristics.
It should be noted that when the least square regression line goes through all the points, the sum of squared residuals is 0.
Also, the least-squares regression line makes the sum of the squares of the residuals as small as possible and the slope is usually between -1 and 1. The smaller the residual sum of squares, the better the model fits the data.
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You live in a small apartment. The bedroom is 10 by 12 feet. Calculate the area of your bedroom.
a 100 sq.ft
C. 80 sq.ft
b. 120 sq.ft
d. 70 sq.ft
Please select the best answer from the choices provided.
Answers
Answer:
The is answer is 120sq. ft.
Step-by-step explanation:
To find the area mulitply 10 by 12 and you get 120.
Need Help fast
hellppppppp
Answers
Maya brought some orange slices for her volleyball team to eat between games. They
divided the orange slices equally among the 8 team members, so each team member got
6 orange slices. Lets be the number of orange slices Maya brought. Write and solve an
equation to find s.
Answers
Answer:
48
Step-by-step explanation:
6 times 8=48
what is the nth term rule of the linear sequence below 15, 7, -1, -9, -17
Answers
Answer:
8n+7
Step-by-step explanation:
You go to the Redbox to get 10 rentals for the weekend. Movies rent for $4 and video
Games rent for $6. You end up spending $26. How much of each item did you rent?
Answers
Answer:
5 movies and 1 video game
Step-by-step explanation:
4 x 5 = 20 + 6 = 26
A random variable is a. A variable that takes of values that are uncertain b. A variable that takes on known values c. A variable that is always zero d. A variable that takes on null values only
Answers
A random variable is a variable that takes on values that are uncertain or probabilistic in nature.
Therefore, the correct option is a) A variable that takes on values that are uncertain.
Random variables can be discrete, meaning they can only take on specific values, or continuous, meaning they can take on any value within a certain range.
These variables are commonly used in statistical analyses and probability theory to model various phenomena, such as the outcome of a dice roll or the height of individuals in a population.
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Question 3 of 10
A landscaper needs to rent tree-trimming equipment. The graph shows the
rental costs for the equipment at two different stores.
Choose the ordered pair that best estimates the time and cost at which the
two stores charge the same amount.
Answers
The ordered pair that best estimates the time and cost at which the two stores charge the same amount is (110,35).
What is a graph?
A diagrammatic representation of statistical data in graphical form is known as a graph. The relationship between two or more things is frequently represented by the points on the graph. Plots of the points are shown on the x- and y-axes, respectively.
For the given situation,
The graph displays the cost and time on the y-axis.
Two variables are frequently represented by ordered pairs.
The x-coordinate is the number that corresponds to the value of x, and the y-coordinate is the number that corresponds to the value of y.
The moment and price at which the two stores charge the same price may be determined from the graph at the point where the x- and y-axes connect.
As a result, the point of intersection is at 35 and 110 for x.
⇒ \((x, y)=(110,35)\)
We can then draw the conclusion that the ordered pair that provides the most accurate estimation of the time and cost at which the two stores charge the same amount is (110,35).
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f(x)=0.1x4−x2−x+7+2x
Answers
The function f(x) = 0.1x^4 - x^2 - x + 7 + 2x is a polynomial function of degree 4. It represents a curve that can be analyzed to determine its properties and behavior.
The given function is a polynomial function of degree 4, which means it is a fourth-degree polynomial. The highest power of the variable x in the function is 4. Polynomial functions of this degree exhibit various characteristics and behaviors.
The function can be simplified by combining like terms: f(x) = 0.1x^4 - x^2 + x + 7. This equation represents a curve on a coordinate plane. By analyzing the coefficients and powers of the terms, we can determine several properties of the function.
The leading coefficient, 0.1, indicates that the curve is positive and opens upwards. The term with the highest power, x^4, implies that the curve may have multiple turning points. The other terms, -x^2, x, and 7, contribute to the shape and position of the curve.
To fully understand the behavior of the function, additional analysis such as finding the critical points, determining the concavity, and examining the y-intercept and x-intercepts may be required. These calculations would provide more insights into the graph and the behavior of f(x) = 0.1x^4 - x^2 - x + 7 + 2x.
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Here is a list of numbers: 8.3, 3.2, 5.3, 8.5, 9.2, 2.9, 4.7, 7.6, 7.8 State the median. Give your answer as a decimal.
Answers
what is the value of -6-(x+3)y when x = -5 and y = 2????
Answers
Answer:
-2
Step-by-step explanation:
Answer: -2
Step-by-step explanation:
Substitute -5 for x and 2 for y in the expression, which gives -6 minus the quantity -5+3, all divided by 2.
Then, use the order of operations to simplify the numerator of the expression. Finally, simplify the fraction, which gives -2. So, when x equals -5 and y equals 2, the expression is equal to -2.
Describe methods you can use to show a proportional relationship between two variables ,x and y. Each method, explains how you can find the unit rate and the slope.
Answers
Answer: Find answer and explanation in the attached document.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Tables of value: The ratio of Y to X gives the unit rate slope.
Equation: Make a table of VALUES. The ratio of Y to X gives the unit rate and slope.
Graph: The SLOPE of the graph is also the unit rate.
2 Find the lateral (side) surface area of the cone generated by revolving the line segment y = x, 0≤x≤6, about the x-axis. The lateral surface area of the cone generated by revolving the line segm
Answers
The lateral (side) surface area of the cone generated by revolving the line segment y = x, 0≤x≤6, about the x-axis is approximately 226.19 square units.
To calculate the lateral surface area of the cone, we can use the formula A = πrℓ, where A is the lateral surface area, r is the radius of the base of the cone, and ℓ is the slant height of the cone.
In this case, the line segment y = x is revolved about the x-axis, creating a cone. The line segment spans from x = 0 to x = 6. The radius of the base of the cone can be determined by substituting x = 6 into the equation y = x, giving us the maximum value of the radius.
r = 6
To find the slant height ℓ, we can consider the triangle formed by the line segment and the radius of the cone. The slant height is the hypotenuse of this triangle. By using the Pythagorean theorem, we can find ℓ.
ℓ = \(\sqrt{(6^2) + (6^2)} = \sqrt{72}\) ≈ 8.49
Finally, we can calculate the lateral surface area A using the formula:
A = π * r * ℓ = π * 6 * 8.49 ≈ 226.19 square units.
Therefore, the lateral surface area of the cone generated by revolving the line segment y = x, 0≤x≤6, about the x-axis is approximately 226.19 square units.
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Can you please help me with these two lol. Im weak with this type of math. Brainlist to whoever helps. +40 points. lol
Answers
Answer:
See below ~
Step-by-step explanation:
Volume of prism :
Base Area x Height9 x 3 1/29 x 3.531 1/2 in³Volume of small-size box of dog treats :
3/10 x 3 1/4 x 7 1/2 x 123/10 x 13/4 x 15/2 x 123/10 x 13 x 15/2 x 31755/20351/487 3/4 in³