The coordinates of the missing endpoint are (11 / 3, 14).
How to determine the location of the missing endpoint of a line segment
Herein we find the coordinates of a endpoint and a midpoint of a line segment and the location of missing endpoint can be found by using the midpoint formula, whose definition is shown:
B(x, y) = 0.5 · A(x, y) + 0.5 · C(x, y) (1)
If we know that B(x, y) = (8 / 3, 4) and C(x, y) = (5 / 3, - 6), then the location of the missing endpoint is:
(8 / 3, 4) = 0.5 · A(x, y) + 0.5 · (5 / 3, - 6)
(16 / 3, 8) = A(x, y) + (5 / 3, - 6)
A(x, y) = (16 / 3, 8) - (5 / 3, - 6)
A(x, y) = (11 / 3, 14)
The coordinates of the missing endpoint are (11 / 3, 14).
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what is 500/2000 as a decimal if u get it right u get brainliest!!! pls and thank u
Answer:
it's 0.25 well good luck and i have a joke
There will be 29 twinkle lights around the gym once the student council hangs 1 strand of lights. Write the equation for the relationship between x and y
The relationship between the number of strands of twinkle lights (x) and the total number of twinkle lights (y) can be described by the equation:
y = 29 * x
A formula known as an equation uses the equals sign to denote the equality of two expressions.
This equation states that the total number of twinkle lights is equal to 29 times the number of strands of lights. For example, if the student council hangs 1 strand of lights, then y = 29 * 1 = 29 twinkle lights. If they hang 2 strands of lights, then y = 29 * 2 = 58 twinkle lights, and so on and on.
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Factor the following: x^2-7
Answer:
the answer is 0
hope it helps have a nice dayyy
PLEASE HELP ME!
What is curtis's net pay?
A. $589.23
B. $499.00
C. $374.44
D. $297.44
Please help me do this
Answer:
1. 5 inches in 2 days
2. y = (5/2)x. where y is rainfall and x is days.
3. Yes
4. (5/2)
5. 2.5"/day
6. 37.5 Inches
Step-by-step explanation:
See attached worksheet
.
What does y equal?
Will Give Brianlest!
Answer:
\(\boxed{\tt y=48}\)
Step-by-step explanation:
\(\tt \cfrac{3}{16}=\cfrac{9}{y}\)
Cross multiply:-
\(\tt 3 \times y=(9)\times (16)\)
\(\tt 3y=144\)
Divide both sides by 3:-
\(\tt \cfrac{3y}{3}=\cfrac{144}{3}\)
Simplify:-
\(\tt y=48\)
_________________
Hope this helps!
Answer:y=48 I hope this is helpful good luck have a good day
Step-by-step explanation:
3/16 = 9/y
Determine the defined range
3/16=9/y y=0 cross out the equal sign y=0
Simplify the equation using cross-multiplication
3y=144
Divide both sides of the equation by 3
y=48
Check if the solution is in the defined range
Quick help would be appreciated : )
The number of liters of fuel required for the vehicle to travel 1, 428 kilometers is 5. 67
What is inverse variation?Inverse variation can be defined as the relationship between two variables, so that if the value of one of the variable increases the value of the other variable decreases.
Example: If a varies inversely as b
This can be represented as;
a ∝ 1/b
Then,
ab = k
Where k is the proportionality constant
From the information given, we have that;
The number of kilometers = xThe liters of fuel = yx ∝ 1/ y
Then,
xy = k
Substitute the values
476 (17) = k
k = 8092
If x = 1428 and k = 8092
Let's determine the value of y
y = k/x
y = 8092/1428
y = 5. 67 liters
Hence, the value is 5. 67 liters
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what are the coordinates of the image of an triangle a b c of a dilation of center (0,0) and a scale factor 1/2
The coordinates of the image of the triangle ABC after the dilation with center (0,0) and a scale factor of 1/2 are:
A' = (1/2 * x₁, 1/2 * y₁)
B' = (1/2 * x₂, 1/2 * y₂)
C' = (1/2 * x₃, 1/2 * y₃)
What is triangle?
A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.
To find the image of triangle ABC after a dilation with center (0,0) and a scale factor of 1/2, we need to multiply the coordinates of each vertex by the scale factor.
Let's suppose that the coordinates of the vertices of the original triangle ABC are:
A = (x₁, y₁)
B = (x₂, y₂)
C = (x₃, y₃)
Then, the coordinates of the image of A, B, and C after the dilation are:
A' = (1/2 * x₁, 1/2 * y₁)
B' = (1/2 * x₂, 1/2 * y₂)
C' = (1/2 * x₃, 1/2 * y₃)
Therefore, the coordinates of the image of the triangle ABC after the dilation with center (0,0) and a scale factor of 1/2 are:
A' = (1/2 * x₁, 1/2 * y₁)
B' = (1/2 * x₂, 1/2 * y₂)
C' = (1/2 * x₃, 1/2 * y₃)
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At an auto repair shop. 3.5 hours of labour costs $311.50. What is the labour
charge for a 5 hour job?
445 . Answer:
Step-by-step explanation:
What is the solution set for -4x + 10 > 5x + 55?
Answer:
x = (- oo, -5)
Step-by-step explanation:
-4x + 10 > 5x + 55-4x - 5x > 55 - 10-9x > 45x < -5x = (- oo, -5)A stock market fell 40 points each day for
three days. What was the total change in value
after the three days?
Answer: -120
Step-by-step explanation:
-40 X 3 = -120
I like urgently need help, this is due tmr.
Answer:
t/7
Step-by-step explanation:
Since the ratio between the amount of water and the time should be the same, 84/12 = 7.
Hence, the ratio is t/7.
Hope this helped!
Find an equation of the line perpendicular to the line 3x+6y=5 and passing through the point (1,3). Write the equation in the standard form.
The standard form of the equation of a line perpendicular to the line (3x + 6y = 5) and passing through the point (1, 3) is (2x - y = -1)
To determine the equation of a line perpendicular to the line (3x + 6y = 5) and passing through the point (1, 3), we can follow these steps:
1. Obtain the slope of the provided line.
To do this, we rearrange the equation (3x + 6y = 5) into slope-intercept form (y = mx + b):
6y = -3x + 5
y =\(-\frac{1}{2}x + \frac{5}{6}\)
The slope of the line is the coefficient of x, which is \(\(-\frac{1}{2}\)\).
2. Determine the slope of the line perpendicular to the provided line.
The slope of a line perpendicular to another line is the negative reciprocal of the slope of the provided line.
So, the slope of the perpendicular line is \(\(\frac{2}{1}\)\) or simply 2.
3. Use the slope and the provided point to obtain the equation of the perpendicular line.
We can use the point-slope form of a line to determine the equation:
y - y1 = m(x - x1)
where x1, y1 is the provided point and m is the slope.
Substituting the provided point (1, 3) and the slope 2 into the equation, we have:
y - 3 = 2(x - 1)
4. Convert the equation to standard form.
To convert the equation to standard form, we expand the expression:
y - 3 = 2x - 2
2x - y = -1
Rearranging the equation in the form (Ax + By = C), where A, B, and C are constants, we obtain the standard form:
2x - y = -1
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Directions: Solve for x.
1.
Answer:
x = 7
Step-by-step explanation:
28 - 21 = 7
A company that produces detergents wants to estimate the mean amount of detergent in 64-ounce jugs at a 98% confidence level. The company knows that the standard deviation of the amounts of detergent in all such jugs is 0.23 ounce. How large a sample should the company take so that the estimate is within 0.05 ounce of the population mean
To estimate the mean amount of detergent in 64-ounce jugs at a 98% confidence level, and the sample should be taken so that the estimate is within 0.05 ounce of the population mean. Let us find the sample size required. Sample size, n = (Z² * σ²) / E².
Where; Z is the Z-value at the given level of confidenceσ is the standard deviation of the population E is the maximum error allowed Z-value at the 98% confidence level is 2.33σ = 0.23E = 0.05Therefore, the sample size required is: n = (2.33² * 0.23²) / 0.05²= 25.6 or 26 (rounded to the nearest integer)Hence, the company should take a sample of 26 64-ounce jugs to estimate the mean amount of detergent at a 98% confidence level.
Let the areas of the three rugs be a, b, and c. Then according to the given information, a + b + c = 2200Also, area of overlap of the rugs (covered by exactly two layers of rug) = 24m²Hence, (a + b + c) – 2(area covered by two layers of rug) = area covered by three layers of rug (2200 – 2 × 24)m² = 2152m².
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In the figure, m∠7 = 100°. Find the measure of the angle 3
Based on the Alternate Interior Angles Theorem, the measure of angle 3 in the image attached below is: 100°
What is the Alternate Interior Angles Theorem?If we have a situation where two parallel lines are intersected by a transversal, according to the Alternate Interior Angles Theorem, the pairs of alternate interior angles formed are congruent.
Angles 7 and 3 lie in the interior sides of the parallel lines but on opposite sides of the transversal, which makes them alternate interior angles. Therefore, based on the Alternate Interior Angles Theorem, we have:
m<3 = m<7
Substitute:
m<3 = 100°
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modify this program so that it writes the values in two columns, like this: 32.00 54.00 67.50 29.00 35.00 80.00 115.00 44.50 100.00 65.00 total: 622.00
To modify a program so that it writes the values in two columns, like this: 32.00 54.00 67.50 29.00 35.00 80.00 115.00 44.50 100.00 65.00 total: 622.00, the following steps can be followed:
Step 1: Double the Range A range of numbers is divided into two equal parts. For example, [1,2,3,4,5,6,7,8,9,10] will be divided into two lists [1,2,3,4,5] and [6,7,8,9,10]. One can use the range function of python to make this list. Here’s how to double the range:
import numpy as np# to double the range, divide it into two equal partsnp.arange(1,11)#
Output:[ 1 2 3 4 5 6 7 8 9 10]
Step 2: Make two columns One can use Numpy to make two columns. Here’s how: import numpy as np# split the array into two rowsarr = np.arange(1,11).reshape(2,5)print(arr)Output:[[ 1 2 3 4 5][ 6 7 8 9 10]]
Step 3: Multiply the Values. We will multiply each value of the input array by 2. To do this, we can use numpy as shown below. import numpy as np# multiply the values by 2arr = np.array([16,27,34.5,14.5,17.5,40,57.5,22.25,50,32.5])print(arr * 2)
Output:[ 32. 54. 69. 58. 70. 160. 230. 44.5 100. 65. ]
Step 4: Display values in two columns. Finally, we will use the ‘arr’ numpy array to display the values in two columns. Also, we will use the sum() function to display the total of all the values. Here’s how:
import numpy as nparr = np.array([16,27,34.5,14.5,17.5,40,57.5,22.25,50,32.5])arr = arr.reshape(2,5)for row in arr:for col in row:print("{:10.2f}".format(col), end=" ")print()print('total: {:10.2f}'.format(np.sum(arr)))
Output:16.00 27.00 34.50 14.50 17.50 40.00 57.50 22.25 50.00 32.50 total: 362.25
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HELP! Use the substitution method to solve the system of equations.
A. 6x-2y=5
B. (-3,7)
C. (6,-2)
D. No solution
Answer:
No solution
Step-by-step explanation:
6x-2y = 5
-3x + y = 7 ----> y = 3x + 7 ( solve for y by adding 3x to both sides.
Substitute
6x-2(3x+7) = 5 Distribute
6x - 6x + 14 = 5 Combine like terms
14 = 5 False statement
No solution
One angle of an isosceles triangle is three times the
measure of each of the other two angles. Find the
measures of the angles.
Answer:
36°, 36°, 108°
Step-by-step explanation:
let the 2 congruent base angles of the isosceles triangle be x
Then the vertex angle is 3x
Sum the angles and equate to 180 ( angle sum of triangle )
x + x + 3x = 180
5x = 180 ( divide both sides by 5 )
x = 36 , then
3x = 3 × 36 = 108
The angles are 36°, 36° and 108°
in garland, texas, it rained 4(1/2) in. on monday. on tuesday, it rained 0.03 in. less than on monday. how much did it rain on tuesday.
It rained approximately 4.47 inches on Tuesday.
The meaning of SUBTRACT is to take away by or as if by deducting. How to use subtract in a sentence.
On Monday, it rained 4(1/2) inches.
On Tuesday, it rained 0.03 inches less than on Monday.
To find out how much it rained on Tuesday, we need to subtract 0.03 inches from the rainfall on Monday.
4(1/2) inches - 0.03 inches = 4.5 inches - 0.03 inches = 4.47 inches
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a microorganism measures 5 μm in length. its length in mm would be?
The length of the microorganism in millimeters is 0.005 mm.
The theory behind converting length units from one unit to another is based on the conversion factor principle. In the International System of Units (SI), the conversion factor between two units of length can be obtained by comparing the number of meters represented by each unit. For example, 1 millimeter is equal to 0.001 meters, and 1 micrometer is equal to 0.000001 meters.
To convert from one unit of length to another, we multiply the length by the appropriate conversion factor. In this case, to convert from micrometers to millimeters, we multiply the length in micrometers by 0.001 to obtain the length in millimeters.
To convert the length of the microorganism from micrometers (μm) to millimeters (mm), we divide by 1000.
5 μm / 1000 = 0.005 mm
Therefore, the length of the microorganism in millimeters is 0.005 mm.
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A_______________ measures the number of standard deviations that a particular value is away from the mean.
The answer is Z-score. Z-score measures the number of standard deviations that a particular value is away from the mean.
A z-score is a numerical measure used in statistics to measure the number of standard deviations between data point and the mean. It is calculated by the subtracting of the population mean from the individual raw score and then dividing the difference by population standard deviation.
The resulting number is z-score, which can then also be used to determine the probability of a raw score in the population. Z-Scores are useful for comparing scores on different tests because they allow you to compare scores on different scales.
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Let's denote a lottery as (X₁, P₁; X2, P2; ; Xm, Pm), where Xi and Pi indicate the reward magnitude = and probability of each potential outcome. A decision-maker prefers B ($5000, 1.00) to A = ($0, 0.01; $25000, 0.04; $5000, 0.95) and prefers C = ($25000, 0.04; $0, 0.96) to D = ($5000, 0.05; $0, 0.95). Prove that Expected Utility Theory cannot account for the preference. Note: you can assume that the initial endowment is $0 and the utility of $0 is zero.
Thus, even if the expected value of option A is higher than the expected value of option B, EUT cannot account for the preference.
Expected Utility Theory (EUT) asserts that a decision-maker's utility function can be used to predict their preferences between uncertain options.
If a decision-maker has an ordered preference ranking of lotteries, according to EUT, these rankings would correspond to their expected utility rankings.
Nevertheless, some examples demonstrate that EUT may fail to predict preferences. Let's denote a lottery as
(X₁, P₁; X2, P2; ; Xm, Pm),
where Xi and Pi indicate the reward magnitude and probability of each potential outcome.
A decision-maker prefers B ($5000, 1.00) to
A = ($0, 0.01; $25000, 0.04; $5000, 0.95) and prefers
C = ($25000, 0.04; $0, 0.96) to
D = ($5000, 0.05; $0, 0.95).
However, EUT cannot account for these preferences.
The utility of the three alternatives is calculated as follows:
U(B) = $5000
U(C) = 0.04 × $25,000 + 0.96 × $0 = $1,000
U(D) = 0.05 × $5000 + 0.95 × $0 = $250
However, the expected utilities of A and B cannot be compared.
These preferences might instead be clarified using theories like Rank-Dependent Expected Utility Theory.
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1. Find the midpoint for each segment with the given endpoints.
a. C(-2, 5) and D(8, -12) b. E(2.5, -7) and F(-6.2, -3.8)
Answer:
a.(3,-7/2) b.(-1.85,-5.4) will the midpoints
Step-by-step explanation:
let mid point be x,y
apply mid point formula
x=(x1+x2)/2 y=(y1+y2)/2
plz mark as brainliest
The midpoint of the given line is (3,-3.5)
What is midpoint of a line ?The midpoint of a line is a point which divides the line segment into two equal parts.We can also say that a midpoint bisects a line segment.
We know when two end points of a line segment are given we can find midpoint by
M(x) = (x₁ + x₂)/2 and M(y) = (y₁ + y₂)/2.
Given points C(-2, 5) and D(8, -12)
M(x) = ( - 2 + 8 )/2
M(x) = 6/2
M(x) = 3.
M(y) = ( 5 - 12 )/2
M(y) = -7/2
M(y) = -3.5.
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Please help this is the last question on my test!! What is the approximate area of a circle with a radius of 4 feet? Use 3.14
Answer:
50 feet²
Step-by-step explanation:
r = 4 feet
Area of circle = \(\pi\) r²
= 3.14 * 4 * 4
= 50.24 = 50 feet²
Answer:
50.24 square feet
Step-by-step explanation:
area = π\(r^{2}\)
area = 3.14 x 4ft
area = 50.24\(ft^{2}\)
1. A school has 400 students. They all come to school by bus, and each bus carries the same number of students. How many students might there be on each bus if each hold only 50 children?
Answer:
8
Step-by-step explanation:
400 divided by 50 is 8
Answer:50
there are 400 students and a bus can hold 50 so you divide 400 by 50 which is equel to 8
so about 50 kids if all the kids go on the bus
Evaluate lim f(x) and lim f(x) for the following function. Use co or co where appropriate. Then give the horizontal asymptote(s) of f (if any).
f(x)= 3x^3+8/4x^3+√ 64x^64
The limit of f(x) as x approaches positive infinity and negative infinity is equal to 3/4, and the horizontal asymptote of the function is y=3/4.
The horizontal asymptote of a function is a horizontal line that the function approaches as x approaches infinity or negative infinity.
The function f(x) is given by
=> f(x)= 3x³ + 8/4x³ + √ 64x⁶⁴.
To evaluate the limits, we need to consider what happens as x approaches positive infinity and negative infinity.
In this case, as x approaches positive infinity or negative infinity, the x³ term in the numerator and denominator will dominate and the limit of the function will be equal to 3/4.
This means that the function has a horizontal asymptote of y=3/4.
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due last weeeekk help!!!!
A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.
What is a dilation?In Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.
In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:
Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).
In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;
(x, y) → (y, -x)
Ordered pair B' (-2, 1) → E (1, 2)
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Which of the of the following statements is true with respect to a simple linear regression model? a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1. O b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative. O C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant. O d. all of the above is true. e. none of the above is true.
Answer:
d. All of the above are true
Step-by-step explanation:
All of the following statements,
a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1.
b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative.
C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant.
are true
Find the greatest common factor of the terms in the following expression: 6ab + 24a. a 2a 3a 6a
Answer:
6a
Step-by-step explanation:
6a(b+4)= 6ab+24a
Answer:
6a
Step-by-step explanation:
6a(b+4)= 6ab+24a