From equation 1 and 2, you can see that XY = YZ and Z = ZW, hence according to the transitive property, we can conclude that XY ≅ ZW.
Midpoint of coordinateA midpoint is a point that divides a line of a segment into two equal parts. It also means that the point bisects the given line.
If the point Y is the midpoint of XZ, then;
XY + YZ = XZ and;
XY = YZ .........1
Similarly, if Z is the midpoint of YW, then;
YZ + ZW = YW and;
YZ = ZW ..........2
From equation 1 and 2, you can see that XY = YZ and Z = ZW, hence according to the transitive property, we can conclude that XY ≅ ZW.
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a clinical sample of patients with anorexia nervosa is randomly assigned to receive either cognitive-behavioral or psychodynamic therapy. upon completion of treatment, all participants are exposed to three different types of everyday stressors at different times. after exposure to each stressor type, the amount of food consumed by participants is recorded. which is the correct classification of this design?
2x3 mixed factorial design is the correct classification of this design.
In the given question, we have to find which is the correct classification of this design.
Three subgroups can be identified within this clinical grouping, though there are no clear divisions between them. The first category includes instances that closely resemble anorexia nervosa or bulimia nervosa but fall short of the diagnostic criteria's cutoff point.
Cases where the characteristics of AN and BN occur in various combinations from those seen in the prototypic illnesses make up the second and largest class.
Those who suffer from binge eating disorder make up the third grouping.
So, 2x3 mixed factorial design is the correct classification of this design.
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The right question is given below:
Please help fast! The table shows the results of spinning a spinner several times
Out come A B C D E
frequency 2 4 3 1 2
What is the experimental probability of spinning a c or a d?
2/5
1/48
4/5
1/3
Answer:
2/5
hope it helps
Thank you
A sprinkler can water between 1-130 square yards of a lawn. The length L in inches of rotating pipe needed to water A square yards is given by the function L=117.75√A.
b. How much area can be watered if the length of the pipe is 500,800 , or 1,300 inches long?
The area that can be watered by the pipe of length 500 inches is approximately 18.03 square yards, when the length of the pipe is 800 inches the area watered is approximately 46.16 square yards and when the length of pipe is 1300 inches the area watered is approximately 121.89 square yards as calculated by the given function.
A function is defined as a relation between the dependent variable and the independent variable.
The length of the pipe is given by the function L=117.75√A where A is the area of the lawn that can be watered.
Now to calculate the area that can be watered using a particular length of pipe we have to find the inverse of the given function.
Given L=117.75√A
Squaring both sides we get
L²=13865.0625 × A
or , A=L²÷13865.0625
Now given length L=500 inches
Substituting the values we get:
A=(500)²÷13865.0625
A=18.0309...
A≈18.03 square yards
Hence the area that can be watered is approximately 64.68 square yards.
Similarly for length 800 inches
Area watered= (800)²÷13865.0625=46.159 square yards.
≈46.16 square yards
Similarly for length 1300 inches
Area watered=1300²÷13865.0625=121.889 square yards
≈121.89 square yards
Therefore the area that can be watered by the pipe of length 500 inches is approximately 18.03 square yards, when the length of the pipe is 800 inches the area watered is 46.16 square yards and when the length of pipe is 1300 inches the area watered is 121.89 square yards.
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Use the information to answer the question.
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest meter, how many meters are in 275 inches? Enter the answer in the box.
meters
0
Answer:
7 m
Step-by-step explanation:
We are told that;
100 cm = 1 m
Thus; 2.54 cm = 2.54 × 1/100 = 0.0254 m
This means that;
1 inch = 0.0254 m
Thus; 275 inches will give; 275 × 0.0254/1 = 6.985 m
Approximating to the nearest metre gives 7 m
A standing wave can be mathematically expressed as y(x,t) = Asin(kx)sin(wt)
A = max transverse displacement (amplitude), k = wave number, w = angular frequency, t = time.
At time t=0, what is the displacement of the string y(x,0)?
Express your answer in terms of A, k, and other introduced quantities.
The mathematical expression y(x,t) = Asin(kx)sin(wt) provides a way to describe the behavior of a standing wave in terms of its amplitude, frequency, and location along the string.
At time t=0,
the standing wave can be mathematically expressed as
y(x,0) = Asin(kx)sin(w*0) = Asin(kx)sin(0) = 0.
This means that the displacement of the string is zero at time t=0.
However, it is important to note that this does not mean that the string is not moving at all. Rather, it means that the string is in a state of equilibrium at time t=0, with the maximum transverse displacement being A.
As time progresses, the standing wave will oscillate between the maximum positive and negative transverse displacement values, creating a pattern of nodes (points of zero displacements) and antinodes (points of maximum displacement).
The wave number k and angular frequency w are both constants that are dependent on the physical properties of the string and the conditions under which the wave is being produced.
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What is the slope of the line on the graph? Enter your answer in the box.
Answer:
the slope is (-2,6)
i think correct me if i am wrong
Step-by-step explanation:
Answer:
slope is -1/3 or0.3333333333333
Step-by-step explanation:
rise/run
find the 9th term of the following geometric sequence 10, 40, 250, 1250, ....
The 9th term of this geometric sequence 10, 40, 250, 1250, .... include the following: 655,360.
How to calculate the nth term of a geometric sequence?In Mathematics, the nth term of a geometric sequence can be calculated by using this mathematical equation (formula):
aₙ = a₁rⁿ⁻¹
Where:
aₙ represents the nth term of a geometric sequence.r represents the common ratio.a₁ represents the first term of a geometric sequence.Next, we would determine the common ratio as follows;
Common ratio, r = a₂/a₁
Common ratio, r = 40/10
Common ratio, r = 4
For the 9th term, we have:
a₉ = 10(4)⁹⁻¹
a₉ = 655,360.
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Simplify fully
4x^+ 4x/-2x^-2
Answer: -12x
Step-by-step explanation: 4x +4 −2 −2x
Calculate x to the power of 1 and get x.
4x+4×( −2 −2x )
Calculate 2 to the power of −2 and get 41.
4x+4×( − 41x)
Divide x by − 41
by multiplying x by the reciprocal of − 41 .
4x+4×( −1x×4)
Anything divided by -1 gives its opposite.
4x+4(−x×4)
Multiply 4 and −1 to get −4.
4x−4x×4
Multiply −4 and 4 to get −16.
4x−16x
Combine 4x and −16x to get −12x.
−12x
A mouse has made holes in opposite corners of a rectangular kitchen. Starting from its hole
in the northwest corner, the mouse scurries 20 feet along the length of the kitchen to reach a
piece of cheese in the southwest corner. Then the mouse scurries 15 feet along the width of
the kitchen to its other hole in the southeast corner. Finally the mouse scurries back to the
first hole. What is the total distance the mouse scurries?
Answer:
60 ft
Step-by-step explanation:
a² + b² = c²
20² + 15² = c²
c = √625
c = 25
total distance = 20 ft + 15 ft + 25 ft = 60 ft
Jocelyn has a points card for a movie theater.
. She receives 25 rewards points just for signing up.
• She earns 12.5 points for each visit to the movie theater.
. She needs at least 170 points for a free movie ticket.
Write and solve an inequality which can be used to determine v, the number of visits
Jocelyn can make to earn her first free movie ticket. Inequality?
Answer: 25 + 12.5v ≥ 170
Step-by-step explanation:
We already have the 25 reward points; it also gives the information that she gets 12.5 points for each visit. Because we don't know the amount she has gone to the theater or will go we have to use a variable; 12.5v. When we add them, we get 25 + 12.5v. The inequality we use is ≥ because it says "at least". When this is used that means it has to be equal to or greater and that is why use that sign and get the full equation;
5 + 12.5v ≥ 170
Answer:
55
Step-by-step explanation:
Find the product of 2x2(6x 3). 12x3 12x3 3 12x3 6x2 2x2 6x 3.
Answer:
72
Step-by-step explanation:
helppp please last question !!!
Answer:
Step-by-step explanation:
y = 1/4x +10
and why do you use your phone, it makes it sooo much tuffer to read the question. just "prt screen" and paste into paint.. and save as a jpg, and then post that pic.. don't use your phone. :/
Two boats started to move towards each other from two boat stations, located 30 miles apart. One boat moved at a speed of 3 miles per hour, the other moved twice as fast. How soon will the boats meet?
Answer:
The boats will meet in 3.33 hours.
Step-by-step explanation:
A(t) = B(t)
3t = 30 - 6t
9t = 30
t = \(\frac{30}{9}\)
t = 3.33
what is the interquartile range of the sequence 5,5,8,8,13,14,16,16,19,22,23,27,31 ?
Worth 60 points for a rapid reply- find the area of each regular polygon. Answers are rounded to the nearest whole number.
The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.
How to calculate for the area of the polygonArea of regular polygon = 1/2 × apothem × perimeter
perimeter = (s)side length of octagon × (n)number of side.
apothem = s/[2tan(180/n)].
11 = s/[2tan(180/12)]
s = 11 × 2tan15
s = 5.8949
perimeter = 5.8949 × 12 = 70.7388
Area of dodecagon = 1/2 × 11 × 70.7388
Area of dodecagon = 389.0634 in²
Area of pentagon = 1/2 × 5.23 × 7.6
Area of pentagon = 19.874 in²
Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.
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Guys, I’m giving you at least 100 points for you to answer to my last week of my math and geometric word problem homework paper from The Hung Vuong Learning Centre Incorporated! So guys, please listen up and pay attention to me without ignoring my last month’s math and geometric word problem homework paper from The Hung Vuong Learning Centre Incorporated for no reason! :D
There are 3 remaining math word problem questions that you need to answer in order for you to get a Brainliest award if your answers are the best with the best efforts and explanations.
The question #10 is break 75 down into 2 parts so that the larger part is 13 more than the smaller.
The question #11 is there are 4 numbers, the first is 20 less than the second, the third is 1 more than twice the first and the fourth is 4 more than the second. We also know that the sum of the first and second equals the sum of the third and fourth numbers. Please help me in order to find the numbers.
The question #12 is one quarter of a number is being increased by one half of the same number is 12. Please help me in order to find a number.
Please answer to my math word problem question as soon as possible with the best efforts and the best step-by-step explanations in order to get the Brainliest award of all the time! :D
Well anyways, guys, good luck on answering 3 remaining of my math and geometric word problem questions of my last week math and geometric word problem homework paper from The Hung Vuong Learning Centre Incorporated in order to get the best Brainliest award of all of the time, and I will check the answers to see if it’s appropriate for me. :)
Answer:
Q11: 31 and 44
Q12: -5, 15, -9, 19
Q13: 16
Step-by-step explanation:
Question 10
Let x = smaller part
Let y = larger part
Given sum of parts is 75:
x + y = 75
Given the larger part is 13 more than the smaller part:
y = 13 + x
Substitute y = 13 + x into x + y = 75 and solve for x:
⇒ x + 13 + x = 75
⇒ 2x + 13 = 75
⇒ 2x = 62
⇒ x = 31
Substitute found value of x into y = 13 + x and solve for y:
⇒ y = 13 + 31
⇒ y = 44
Therefore, the smaller part is 31 and the larger part is 44
Question 11
Let x = first number
Let y = second number
Let z = third number
Let w = fourth number
Given the first is 20 less than the second:
x = y - 20
⇒ y = x + 20
Given the third is 1 more than twice the first:
z = 2x + 1
Given the fourth is 4 more than the second:
w = y + 4
Given the sum of the first and second equals the sum of the third and fourth numbers:
x + y = z + w
Substitute the first 3 equations into x + y = z + w and rearrange to make y the subject:
⇒ (y - 20) + y = (2x + 1) + (y + 4)
⇒ 2y - 20 = 2x + y + 5
⇒ y = 2x + 25
Rearrange x = y - 20 to make y the subject:
x = y - 20
⇒ y = x + 20
Now equate the equations and solve for x:
⇒ x + 25 = 20
⇒ x = -5
Now we have found the value of x, substitute into z = 2x + 1 to find z:
⇒ z = 2(-5)+ 1
⇒ z = -9
and substitute the value of x into y = x + 20 to find y:
⇒ y = -5 + 20
⇒ y = 15
finally substitute the value of y into w = y + 4 to find w:
⇒ w = 15 + 4
⇒ w = 19
Therefore,
first number = -5second number = 15third number = -9fourth number = 19Question 12
Let x = unknown number
Given one quarter of a number is being increased by one half of the same number is 12:
\(\implies \dfrac14x+\dfrac12x=12\)
\(\implies \dfrac34x=12\)
\(\implies 3x=12 \times 4\)
\(\implies 3x=48\)
\(\implies x=16\)
Given the function f(x) = −5x2 − x + 20, find f(3).a. −28b. −13c. 62d. 64
After solving the given function for x = 3, the resultant answer is (A) -28.
What are functions?The exact same number of elements from Y is assigned to each element of X via a mathematical function from a set X to a set Y.
The function's domain and codomain are respectively referred to as the sets X and Y as a whole.
A function is a relationship between a number of inputs and outputs.
Simply described, a function is an association between inputs in which each input is coupled to exactly one output.
So, we have the function:
(x) = −5x² − x + 20
Now, calculate to find the value when: x = 3
Given that, we must determine the value of the function at x = 3.
Set x = 3 in the provided function, f(x)
f(3) = −5(3)² − x + 20
f(x) = -45 - 3 + 20 = -28
Therefore, after solving the given function for x = 3, the resultant answer is (A) -28.
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You spend $300 to start and costs $20 for each dog house
# of dog houses
1
2.
3
4
5
6
7
Total cost to build
Answer:
15
Step-by-step explanation:because because 300 divided by 20 equals 15 hope this helps
A basketball coach plotted data about her shooting guard’s playing time and point scoring in a scatterplot. Shooting Guard Minutes Played and Points Scored A graph has minutes played on the x-axis, and points scored on the y-axis. A line goes through points (8, 6) and (30, 21). Which is the equation of the line of best-fit? y = StartFraction 15 Over 22 EndFraction x + StartFraction 6 Over 11 EndFraction y = StartFraction 15 Over 22 EndFraction x + StartFraction 43 Over 11 EndFraction y = StartFraction 22 Over 15 EndFraction x minus StartFraction 86 Over 15 EndFraction y = StartFraction 22 Over 15 EndFraction x minus four-fifths
Answer:
The answer is y = StartFraction 15 Over 22 EndFraction x + StartFraction 6 Over 11 EndFraction → y = 15/22x + 6/11
Answer:
it a
Step-by-step explanation:
After analyzing this data set, francine calculates a value of 20. 73 g. Which of these characteristics has been calculated? mean median mode range.
The correct answer is mean.
The characteristic which is being calculated here is the mean or the average of the data set.
(20.73 + 20.76 + 20.68 + 20.75)/4
when we divide it by 4 because there are four data sets
= 82.92 / 4
= 20.73
The complete question is 'Francine makes several measurements of the mass of a metal block and the data set is shown in the table below. The measurement mass of metal blocks(g) are a) 20.73 b) 20.76 c) 20.68 d) 20.75 . After analyzing the given data set, Francine calculates a value of 20.73 g so which of these characteristics has been calculated?'
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please help i’ll give you brainlest pleas
Answer:
20°,40°,75°
Step-by-step explanation:
Subtract the number from 90 and turn the difference to a degree
B/ 21 Marks
What is the equation of the blue line
passing through (0,1) to (3,10)
، ح م د نن دہ ف
Answer:
y = 3x + 1.
Step-by-step explanation:
The slope is y2-y1/x2-x1
= 10/1/ 3-0
= 9/3
= 3.
Using the point-slope form for a straight line:
y-y1 = m(x-x1) (m = slope)
y - 10 = 3(x - 3)
y - 10 = 3x - 9
y = 3x - 9 + 10
y = 3x + 1 is the required equation.
What is the scale factor?
O 1/2
O 1
O 1 1/2
02
Answer:
1/2
Step-by-step explanation:
Look at a corresponding side
For example, AB in the first triangle and DE in the second.
One side is 18 while the other is 9. To get from 18 to 9 is to multiply 18 by 1/2.
How do you convert liters to gallons?
Answer:
Step-by-step explanation:
1 liter = 0.22 UK gallons, so we multiply liters by 0.22 for UK gallons.
1 liter = 0.26 US gallons, so we multiply liters by 0.26 for US gallons.
HELPPPPPPPPPPP NOW PLSSSS K12
Answer:
2
Step-by-step explanation:
Subtract -7--5=-2, there can not be a length on a rectangle of -2 so it would just be 2.
Answer:
2
Step-by-step explanation:
Indicate below weather the equation in the box is true or false
Answer:
False
Step-by-step explanation:
4/8 equals to 1/2 but 6/10 equals to 3/5. Correct would be if it was 5/10
The work of a student to solve the equation 3(2x − 4) = 8 + 2x + 6 is shown below: Step 1: 3(2x − 4) = 8 + 2x + 6 Step 2: 5x − 7 = 14 + 2x Step 3: 5x − 2x = 14 + 7 Step 4: 3x = 21 Step 5: x = 7 In which step did the student first make an error and what is the correct step? (5 points) a Step 2; 6x − 12 = 14 + 2x b Step 2; 6x − 7 = 2(6 + x + 4) c Step 3; 5x − 2x = 14 − 7 d Step 3; 5x + 2x = 14 + 7
Step-by-step explanation:
The answer is 7x= 21
divide both sides by 7
to get 3
therefore the answer is X =3
For what values of x is x2-36=5x true? -9 and -4 -4 and 9 4 and -9 9 and 4.
Answer: -4 and 9
Step-by-step explanation:
5. Please verify correct
Our function is a parabola, therefore, it has only one critical point which is its vertex. Since the coefficient of the squared term is negative, the vertex is the maximum point.The critical points of a function are given by the zeros of the first derivative. The first derivative of our function is:
\(f^{\prime}(x)=-6x-18\)The solutions for the following equation are the critical points of the original function:
\(-6x-18=0\implies x=-3\)The maximum point happens at x = - 3.
To find the corresponding value, we just have to evaluate x = - 3 into our function:
\(f(-3)=-3(-3)^2-18(-3)-26=1\)The maximum value of the function is 1, and it occurs at x = - 3.
Answer: The function has a maximum value
The function's maximum value is 1
The function's maximum value occurs at x=-3
Step-by-step explanation:
Given equation: \(g(x) = -3x^ - 18x - 26\)
We shall use the differentiation method to find the answer.
Differentiating the equation, we get \(g'(x) = - 6x - 18\)
equating g'(x) = 0,
\(-6x - 18 = 0\\-6x = 18 \\x = -3\)
Hence the minimum/ maximum value of the function lies in x = -3
on equating x>-3, g'(x) is negative
on equating x<-3, g'(x) is positive
this proves that first, the function was increasing and after x = -3, the function started to decrease hence at x=-3, the function g(x) was at its maximum value
The function's maximum value at x=-3 is
\(g(x) = -3x^2 - 18x - 26\\g(-3) = -3(-3)^2 - 18(-3) - 26\\g(-3) = -3(9) +54 -26\\g(-3) = 54 - 27 -26\\g(-3) = 1\)
Given: ABCD is a parallelogram; BE | CD; BF | AD
Prove: BA EC = FA BC
Using the properties of parallelograms and the given information, we proved that BAEC is equal to FABC. We utilized angle-angle similarity and the proportional relationships of corresponding sides in similar triangles to establish the equality.
To prove that BAEC = FABC, we will use the properties of parallelograms and the given information.
Given:
ABCD is a parallelogram.
BE is parallel to CD.
BF is parallel to AD.
To prove:
BAEC = FABC
Proof:
Since ABCD is a parallelogram, we know that opposite sides are parallel and equal in length. Let's denote the length of AB as a, BC as b, AD as c, and CD as d.
Since BE is parallel to CD and AD is parallel to BF, we have angle ABE = angle CDF and angle ADB = angle BFD.
By alternate interior angles, angle CDF = angle FAB.
Now, we have two pairs of congruent angles: angle ABE = angle CDF and angle ADB = angle BFD.
Using angle-angle similarity, we can conclude that triangle ABE is similar to triangle CDF and triangle ADB is similar to triangle BFD.
As the corresponding sides of similar triangles are proportional, we have the following ratios:
AB/CD = AE/CF (from triangle ABE and triangle CDF similarity)
AD/BC = BD/CF (from triangle ADB and triangle BFD similarity)
Cross-multiplying the ratios, we get:
AB * CF = CD * AE (equation 1)
AD * CF = BC * BD (equation 2)
Adding equation 1 and equation 2, we have:
AB * CF + AD * CF = CD * AE + BC * BD
Factoring out CF, we get:
CF * (AB + AD) = CD * AE + BC * BD
Since AB + AD = CD (opposite sides of a parallelogram are equal), we have:
CF * CD = CD * AE + BC * BD
Simplifying, we get:
CF = AE + BC
Therefore, we have shown that BAEC = FABC.
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