The conjecture "X, Y, Z and W are noncolinear" is always true when given that line segments XY and ZW intersect at point A. So option D is the correct answer.
When line segments XY and ZW intersect at point A, it means that X, Y, Z, and W do not all lie on the same line. Since they do not all lie on the same line, they are considered non-collinear.
The conjecture "XA = AY" is not always true. It is only true if the lines XY and ZW are perpendicular bisectors of each other. The conjecture "XAZ is acute" is not always true. It is only true if angle ZAY is obtuse, in which case angle XAZ would be acute. The conjecture "XY is perpendicular to XY" is not a valid conjecture because it is a statement that XY is perpendicular to itself, which is always true but not informative.So the correct answer is option D. X, Y, Z and W are noncolinear.
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Write an equivalent expression by distributing the "-" sign outside the
parentheses:
−(−7n +7.1p) + 1
The expression which is equivalent to that giving in the task content by distributing the "-" sign outside the parentheses is; 7n - 7.1p +1.
What is an equivalent expression to the expression as given in the task content?It follows from the task content that the expression which is equivalent to; −(−7n +7.1p) + 1 by distributing the "-" sign outside the parentheses is required.
Hence, it follows that each term in the parentheses is multiplied by the negative sign outside the parentheses as follows;
−(−7n) −(+7.1p) + 1
= 7n - 7.1p + 1
Ultimately, the expression which is equivalent to that given in the task content by distributing the "-" sign outside the parentheses is; 7n - 7.1p +1.
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Which set of models is equivalent to the expression 2 × 46?
Answer:
92
Step-by-step explanation:
Since 92 is the answer, we need to factor out 92
Ex: 1, 2, 4, 23, 46 and 92
1 x 92
4 x 23
if $a$ is the sum of the positive divisors of $500$, what is the sum of the distinct prime divisors of $a$?
Answer:
25
Step-by-step explanation:
You want the sum of the distinct prime divisors of the sum of the positive divisors of 500.
Divisors of 500The prime factorization of 500 is ...
500 = 2²·5³
so there are (2+1)(3+10 = 12 positive integer divisors:
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
The sum of these divisors is 1092.
Divisors of 1092The prime factorization of 1092 is ...
1092 = 2²·3·7·13
so the sum of interest is ...
2 +3 +7 +13 = 25
The sum of interest is 25.
Its worth 25 points please get right
Select the correct answer.
Gas station A has posted a chart that shows the price of gasoline in terms of the number of gallons.
Gallons price
3 9.15
5 15.25
7 21.35
Gas station B has an equation that represents the price, p, for gallons, g, of gasoline as p = $3.08g.
Which gas station sells gasoline at a lower rate? What price does it charge?
A.
Gas station A sells gasoline at a lower rate. Its price is $3.08 per gallon.
B.
Gas station B sells gasoline at a lower rate. Its price is $3.05 per gallon.
C.
Gas station A sells gasoline at a lower rate. Its price is $3.05 per gallon.
D.
Gas station B sells gasoline at a lower rate. Its price is $3.08 per gallon.
Reset Next
Gas station A sells gasoline at a lower rate. Its price is $3.05 per gallon
How to determine which gas station sells gasoline at a lower rate?
In order to determine which gas station sells gasoline at a lower rate, we need to calculate the price of one gallon at each gas station using the given information.
Given that:
For Gas station A, the price of 3 gallons is 9.15, so we can calculate the price of 1 gallon as:
price of 1 gallon = 9.15/3 = $3.05
For Gas station B, the equation that represents the price, p, for gallons, g, of gasoline as p = $3.08g. To calculate the price of 1 gallon, substitute g = 1 into the equation:
p = $3.08g
price of 1 gallon = $3.08 × 1 = $3.08
The price of 1 gallon in Gas station A ($3.05) is less than the price of 1 gallon Gas station B ($3.08).
Therefore, Gas station A sells gasoline at a lower rate. Its price is $3.05 per gallon. Option C is the answer
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Can you explain why cans of regular Coke would weigh more than cans of Diet Coke?
A.
Cans of regular Coke probably weigh more than cans of Diet Coke due to the extra metal present in a regular Coke can but not a Diet Coke can.
B.
Cans of regular Coke probably weigh more than cans of Diet Coke due to Diet Coke cans being only half as large as regular Coke cans.
C.
Cans of regular Coke probably weigh more than cans of Diet Coke due to the sugar present in regular Coke but not Diet Coke.
D.
There is no reason why they would have different weights.
Cans of regular Coke probably weigh more than cans of Diet Coke due to the extra metal present in a regular Coke can but not a Diet Coke can. The correct answer is A.
Regular Coke contains sugar, which means that it has a higher density than Diet Coke, which uses artificial sweeteners. However, the difference in density alone would not account for a noticeable difference in weight between the two types of cans.
The primary reason that cans of regular Coke weigh more than cans of Diet Coke is that regular Coke cans are made of thicker metal than Diet Coke cans. This is because regular Coke contains acids that can corrode the metal over time, and the thicker metal helps prevent this from happening. Diet Coke, on the other hand, does not contain these acids, so the cans can be made with thinner metal.
Therefore, due to the extra metal present in regular Coke cans but not in Diet Coke cans, cans of regular Coke would weigh more than cans of Diet Coke.
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3². (2²+4)
What is the value of the expression
22
?
A. 10
B. 15
C. 19
D. 27
someone please help lol
How to complete in Excel and step by step instructions and screen captures. The Sentry Lock Corporation manufactures a popular commercial security lock at plants in Macon, Louisville, Detroit, and Phoenix. The per-unit cost of production at each plant is $35.50, $37.50, $39.00, and $36.25 respectively while annual production capacity at each plant is 18,000, 15,000, 25,000, and 20,000. Sentry’s locks are sold to retailers through wholesale distributor in seven cities across the US. Prices per unit are negotiated individually with the distributors and are given below. Additionally, the unit cost of shipping from each plant to each distributor is summarized below along with the maximum demand for each distributor. Total amounts shipped to distributors cannot exceed these amounts. Distributors Tacoma San Diego Dallas Denver St. Louis Tampa Baltimore Plants Macon 2.50 2.75 1.75 2.00 2.10 1.80 1.65 Louisville 1.85 1.90 1.50 1.60 1.00 1.90 1.85 Detroit 2.30 2.25 1.85 1.25 1.50 2.25 2.00 Phoenix 1.90 .90 1.60 1.75 2.00 2.50 2.65 Maximum Demand 8,500 14,500 13,500 12,600 18,000 15,000 9,000 Price to Distributor $56 $58 $62 $65 $49 $42 $52 Sentry wants to determine how to sell and ship locks from plants to distributors such that profit to Sentry is maximized. Formulate and solve the appropriate spreadsheet model to determine this shipment pattern.
The solution is optimal since reduced cost for all the unallocated cells is greater than zero.
Spreadsheet: (Copy paste in excel) Plants Production cost per units Customers and Transportation Cost per units Tacoma San Diego Dallas Denver St. Louis Baltimore Tampa Macon 35.5 2.5 2.75 1.75 2 2.1 1.8 1.65 Louisville 37.5 1.85 1.9 1.5 1.6 1 1.9 1.85 Detroit 39 2.3 2.25 1.85 1.25 1.5 2.25 2 Phoenix 36.25 1.9 0.9 1.6 1.75 2 2.5 2.65 Customers and combined cost per units Supply Plants Tacoma San Diego Dallas Denver St. Louis Baltimore Tampa Macon =+$B3+C3 =+$B3+D3 =+$B3+E3 =+$B3+F3 =+$B3+G3 =+$B3+H3 =+$B3+I3 18000 Louisville =+$B4+C4 =+$B4+D4 =+$B4+E4 =+$B4+F4 =+$B4+G4 =+$B4+H4 =+$B4+I4 15000 Detroit =+$B5+C5 =+$B5+D5 =+$B5+E5 =+$B5+F5 =+$B5+G5 =+$B5+H5 =+$B5+I5 25000 Phoenix =+$B6+C6 =+$B6+D6 =+$B6+E6 =+$B6+F6 =+$B6+G6 =+$B6+H6 =+$B6+I6 20000 Demand 8500 14500 13500 12600 18000 15000 9000 Subject To: Plants Customer Plant (TO) Tacoma San Diego Dallas Denver St. Louis Baltimore Tampa Produced Supply Philadelphia, PA 69.0000000000002 0 0 0 0 =SUM(C19:I19) <= =+J10 Atlanta, GA 470 428 0 12.0000000000001 0 =SUM(C20:I20) <= =+J11 St. Louis, MO 0 0 939 261 0 =SUM(C21:I21) <= =+J12 Salt Lake City, UT 0 0 0 328 302 =SUM(C22:I22) <= =+J13 Shipped =SUM(C19:C22) =SUM(D19:D22) =SUM(E19:E22) =SUM(F19:F22) =SUM(G19:G22) =SUM(H19:H22) =SUM(I19:I22) >= >= >= >= >= >= >= Demand =0.8*C14 =0.8*D14 =0.8*E14 =0.8*F14 =0.8*G14 =0.8*H14 =0.8*I14 Total Transportation + Production Cost =SUMPRODUCT(C10:I13,C19:I22) Excel Sheet and Solver Option:
Excel image is attached below.
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All but two of the following statements are correct ways to express the fact that a function f is onto. Find the two that are incorrect.
a. f is onto ⇔ every element in its co-domain is the image of some element in its domain.
b. f is onto ⇔ every element in its domain has a corresponding image in its co-domain.
c. f is onto ⇔ ∀y ∈ Y, 3x ∈ X such that f(x)= y.
d. f is onto ⇔ ∀x ∈ X, 3y ∈ Y such that f(x)= y.
e. f is onto ⇔ the range of f is the same as the co-domain of f.
The two incorrect statements are: c. f is onto ⇔ ∀y ∈ Y, 3x ∈ X such that f(x)= y. (The correct quantifier is ∃, not ∀.). d. f is onto ⇔ ∀x ∈ X, 3y ∈ Y such that f(x)= y. (The correct quantifier is ∃, not ∀.)
The correct statements are: a. function f is onto ⇔ every element in its co-domain is the image of some element in its domain. b. f is onto ⇔ every element in its domain has a corresponding image in its co-domain. e. f is onto ⇔ the range of f is the same as the co-domain of f.
To further explain the correct statements:
a. This statement is a direct definition of an onto function. It means that for every element y in the co-domain of f, there exists some element x in the domain of f such that f(x) = y.
b. This statement is equivalent to statement a and is also a direct definition of an onto function. It means that for every element x in the domain of f, there exists some element y in the co-domain of f such that f(x) = y.
e. This statement is also equivalent to statements a and b. The range of f is the set of all possible outputs that f can produce, while the co-domain of f is the set of all possible outputs that f could produce. Therefore, if the range of f is equal to its co-domain, then every possible output of f is actually produced by f, which means that f is onto.
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Consider the linear equation y=4x-7 find the value of y that makes the given ordered pair a solution to the equation (3, y) Y=
true or falsea linear system is ill-conditioned if its solution is highly sensitive to small changes in the problem data
In the following question, A linear system is ill-conditioned if its solution is highly sensitive to small changes in the problem data is said to be True.
What is a linear system? In mathematics, a linear system refers to a system of linear equations that can be expressed in matrix form as Ax = b. A is a matrix, x is a vector, and b is a constant vector. When working with linear systems, we must keep track of the numerical accuracy of the computations. When a small change in the matrix or constant vector produces a large change in the solution, the matrix is said to be ill-conditioned.
The mathematical concept of condition numbers measures the sensitivity of a matrix to changes in the problem data. If a matrix has a high condition number, it is said to be ill-conditioned, whereas if it has a low condition number, it is said to be well-conditioned. An ill-conditioned matrix is difficult to solve numerically because a small error in the input data can produce a large error in the computed solution.
Therefore, the statement that "a linear system is ill-conditioned if its solution is highly sensitive to small changes in the problem data" is correct, and it is true.
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Pierre buys 56 litres of fuel for $103.60
Carlos buys 40 litres of the same fuel.
Work out how much Carlos pays.
Answer: Carlos pays $74.00
Step-by-step explanation:
103.6/56 = 1.85
40 x 1.85 = 74
I have no idea how I’m supposed to do this.
hahaha yeah I know you me doing and that you have
HELP ME PLS
Given the relation below:
Write a value for that makes the relation a function
(5,9), (8, 14), (12, 18). (a, 22)
Type your answer
Answer:
A=30
Step-by-step explanation:
Greg invests $500 in a savings account that earns 4% simple interest annually. If he does not make any additional deposits or withdrawals, how much money will be in the savings account after 5 years?
Answer: 100
Step-by-step explanation: because I just got a 10/10
Dr. Gibson, a marine biologist, is studying shark attacks on the coast of Monroe County. Two recent attacks took place at beaches separated by 8 inches on a map of the coastline. What is the actual distance between the two beaches if the scale of the map is 2 inches = 1 mile?
Answer:
4 miles
Step-by-step explanation:
\(\frac{2}{1}\) = \(\frac{8}{x}\) Cross multiply and solve for 8
2x = 8 Divide both sides by 2
x = 4
Helping in the name of Jesus.
If
(
m
2
−
1
)
2
−
9
is expressed as
(
m
2
+
2
)
(
n
+
p
)
(
n
−
p
)
, what are the values of
n
and
p
?
Answer:
you need to repost your question bcos it's not understandable
Is ozone harmful to health?
Ozone can be both harmful and beneficial to health, depending on its location in the atmosphere and the levels at which it is present.
In the stratosphere (the layer of the atmosphere that is located about 10-50 kilometers above the Earth's surface), ozone is a beneficial gas that protects life on Earth by absorbing harmful ultraviolet (UV) radiation from the sun. However, at ground level, ozone can be harmful to health, particularly for people with respiratory problems such as asthma.
Exposure to high levels of ozone can irritate the respiratory system and cause coughing, throat irritation, and chest pain. It can also worsen bronchitis, emphysema, and other lung diseases. Ozone can also reduce lung function and inflame the linings of the lungs, leading to more serious health problems.
It is important to note that ground-level ozone is not emitted directly into the air, but is formed when pollutants from sources such as vehicle exhaust, power plants, and industrial facilities react with sunlight and heat.
Therefore, Ozone can be both harmful and beneficial to health.
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find the area of the part of the surface z=x^2 (\sqrt{3})y z=x 2 ( 3 )y that lies above the triangle with vertices (0,0),(1,0)(0,0),(1,0), and (1,2)(1,2).
The given surface is z = x²√3y + x2(3)y. The triangle has vertices at (0,0), (1,0), and (1,2).Let's graph the surface and unitary triangle:
Graph of surface z = x²√3y + x2(3)yGraph of triangle with vertices (0,0), (1,0), and (1,2)From the graph, we can see that the surface intersects the triangle along the lines x = 0, y = 0, and y = 2 - x. Therefore, we can set up a double integral for the area of the part of the surface that lies above the triangle:∬R z = x²√3y + x2(3)y dA, where R is the region enclosed by the triangle.
Using the limits of integration, the integral becomes∫₀¹ ∫₀^(2-x) x²√3y + x2(3)y dy dxThe inner integral with respect to y is∫₀^(2-x) x²√3y + x2(3)y dy = [x²(√3/2)y² + x²y³]₀^(2-x)= x²(√3/2)(2-x)² + x²(2-x)³= x²(2 - x)²(√3/2 + 2x)The outer integral with respect to x is∫₀¹ x²(2 - x)²(√3/2 + 2x) dxWe can expand the (2 - x)² term, and then use polynomial integration to evaluate the integral:∫₀¹ x²(2 - x)²(√3/2 + 2x) dx= ∫₀¹ (√3/2)x²(2 - x)² dx + ∫₀¹ 4x²(2 - x)³ dx= (√3/2) ∫₀¹ x²(4 - 4x + x²) dx + 4 ∫₀¹ x²(8 - 12x + 6x² - x³) dx= (√3/2) [4/3 - 2 + 1/3] + 4 [8/3 - 6/2 + 3/3 - 1/4]= (8/3)√3 - (14/3) ≈ 0.7714Therefore, the area of the part of the surface z = x²√3y + x2(3)y that lies above the triangle with vertices (0,0), (1,0), and (1,2) is approximately 0.7714.
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a donkey baked 46 pies. 3/23 he ate himself, the rest of the pies he put evenly among 4 plates. how much pies are there in each plate?
Answer:40
step by step explanation
3*23÷46=6
46-6=40
there are 40 pies in each plate
Answer:
Answer: 10 pies on each plate.
Step-by-step explanation:
Okay, to solve this problem we first need to find 3/23 of 46.
But before we do that, we need to know 1/23 of 46.
To solve this, we do 64 divided by 23 which equals 2.
then we multiple 2 by 3 to get 3/23 of 46 and that equals 6.
To find out how many pies remain, we subtract 6 pies from 46 pies, which gives us 40 pies. Then we divide 40 by 4, which is 10.
is the line through (-2, 4, 0 and (1, 1, 1) perpendicular to the line through (2, 3, 4) and (3, 21, -8)?
AB is not perpendicular to CD
What does perpendicular mean ?Perpendicular lines are two separate lines that cross one other at a right angle, or a 90° angle. Example: Because AB and XY overlap at a 90° angle, AB is perpendicular to XY in this instance.
Does perpendicular means opposite?Lines that cross one other at an angle are known as perpendicular lines. Their slopes are the reciprocal opposites of one another.
Given A (-2, 4, 0),B(1, 1, 1),C(2, 3, 4),D (3, 21, -8)
(-1,3,-1) for AB
(-1,-18,12) for CD
For the lines AB and CD to be perpendicular
a 1a2+b1b2+c1c2=0
-1(-1)+3(-18)+(-1)(12)
=1-54−12=-65not equal to 0
∴ AB not perpendicular to CD
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Two poles have a height of 9 m and 2 m, respectively. A
string is used to connect the poles. If the poles are 24 m
apart, what is the minimum length of the string?
Answer:
25
Step-by-step explanation:
Im not sure how to find the distance between the points.
Given,
the coordinates of the point is P(-4, -1) and N(1, -8).
Required
The distance between the point P and N.
The distance between the point P and N.
\(\begin{gathered} Distance=\sqrt{(1-(-4))^2+(-1-(-8))^2} \\ =\sqrt{5^2+(7)^2} \\ =\sqrt{25+49} \\ =\sqrt{74} \end{gathered}\)Hence, the distance between the points is sqrt(74).
10 points
3. What is the slope of the line that passes through the points (2,6) and
(-2,5) ?
O A. undefined
O B. Zero
Oc. 114
OD. -1/4
Answer:
I think u kept option incorrect but the correct answer is 1/4
in april 2005, roland mailed a package from his local post office in Albermarle, NC ro a friend in fishers, Indiana for $2.76 per ounce. The first class domestic rate at the time was $.23 per ounce. Write and solve an equation to determine the weight of the package
The weight of the package is 12 ounces
How to solve an equation to determine the weight of the package?The given parameters are
Total amount = $2.76
Domestic rate = $.23 per ounce
The equation to determine the weight of the package is represented as:
Weight = Total amount/Domestic rate
Substitute the known values in the above equation
Weight = 2.76/.23
Evaluate the quotient
Weight = 12
Hence, the weight of the package is 12 ounces
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a + b3 - a ; a = 3, b = 2
Answer:
8
Step-by-step explanation:
a + b^3 - a
Simplify
b^3
Let b=2
2^3
8
Answer:
11
Step-by-step explanation:
If a = 3, and b = 2, then;
=> a + b³
=> 3 + 2³
=> 3 + 8
=> 11
Hope this helps!
Which sequence is an example of an arithmetic sequence?
Question 9 options:
5, 10, 20, 40, 80, …
5, 10, 15, 20, 25, …
–3, –6, –18, –54, …
20, 10, 5, 2.5, …
Answer: the second sequence.
25- 20= 20-15=15-10=10-5.
From this we can see that the common difference is 5
Step-by-step explanation:
Using a pencil, pair of compasses and ruler, construct a triangle with sides 8cm, 9cm and 6cm
Measure the size of the angle between the 8cm and 9cm sides to the nearest degree.
Answer:
The nearest degree of the angle between the 8cm and 9cm sides is:
41°Step-by-step explanation:
To obtain the correct angle in a small triangle like the triangle formed with the measures in the exercise is a little bit hard, in a change of this, I used a triangle calculator, with this I obtained the right angle formed by the sides with 8 cm and 9 cm, which I'm gonna add like an attachment.
From this image, you can guide yourself to draw the triangle without mistakes and to identify the right angle, which is 40,8° but the compass is not so defined, by this reason you can take it like 41° or 40°.
describe the possible lengths of the third side of the triangle given the lengths of the other two sides. 15 inches, 37 inches
The possible length of the third side of the triangle is x>52 inches.
What is the sum of the first side and second side of any triangle?The sum of the lengths of any two sides of a triangle is always greater than the length of the third side. If the sum of the two sides is equal to the third side, then the two sides will coincide with the third side so a triangle cannot be formed. Hence, the sum of the two sides must be greater than the third side for the triangle to be formed.
Given: Sides of two sides of a triangle as 15 and 37 inches.
let the third side of the triangle be x.
then x>15+37
x>52 inches.
Hence, The possible length of the third side of the triangle is x>52 inches.
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What is the area of this triangle
Answer:
A = 18 in²
Step-by-step explanation:
The area of a triangle can be calculated using the formula A = (bh)/2
where b = base length and h = height
Fortunately for us, the variables are already defined and given to us in the problem
All we have to do is plug in the values of h and b into the formula for area of a triangle
A = (bh)/2
b = 3 and h = 12
A = ((12)(3))/2
multiply 12 and 3
A = 36/2
divide 36 by 2
A = 18 in²
Briefly describe The Monty Hall Problem