Answer:
(-1, -4.5)
(-1.5, -2.5)
Step-by-step explanation:
To find the midpoint add the coordinates and divide by 2
19.( -8,-2) (6,-7)
((-8+6)/2, (-2+-7)/2) = (-2/2, -9/2) = (-1, -4.5)
20. ( 6,5) (-8,-10)
(( 6+-8)/2 , (5-10)/2) = (-3/2,-5/2) = (-1.5, -2.5)
Answer:
19. (-1, -4.5)
20. (-1, -2.5)
Step-by-step explanation:
19.
Use the midpoint formula.
\(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\)
Substitute the values.
\(\frac{-8+6}{2},\frac{-2-7}{2}\)
Add/Subtract the numerators.
\(\frac{-2}{2},\frac{-9}{2}\)
Divide.
-1, -4.5
20.
Use the midpoint formula.
\(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\)
Substitute the values.
\(\frac{6-8}{2},\frac{5-10}{2}\)
Add/Subtract the numerators.
\(\frac{-2}{2},\frac{-5}{2}\)
Divide.
-1, -2.5
pleaSE help need soon please
Answer:
53
Step-by-step explanation:
180-127=53
A soccer game is m minutes long. The game includes 90 minutes plus x minutes of time-outs. Translate the words into an algebraic expression. How long is the game with 8 minutes of time-outs
The game with 8 minutes of time-outs is 98 minutes long.
What is an algebraic expression?
An algebraic expression is a mathematical phrase that can contain numbers, variables, and operations such as addition, subtraction, multiplication, and division.
In this case, the algebraic expression that represents the length of the soccer game would be:
m = 90 + x
where m represents the total length of the game in minutes, 90 represents the fixed length of the game, and x represents the variable length of time-outs in minutes.
To find the length of the game with 8 minutes of time-outs, we substitute x = 8 into the expression:
m = 90 + 8 = 98
Therefore, the game with 8 minutes of time-outs is 98 minutes long.
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For some transformation kinetics that obey the Avrami equation, the parameter n is known to
have a value of 1.2.
a) If it takes 180 seconds for the transformation to go to 90% completion, determine the
parameter, k.
b) Determine the rate of transformation, r.
a) Using the Avrami equation with n = 1.2 and 90% completion in 180 seconds, the parameter k is found to be approximately 0.00397. b) The rate of transformation, r, is approximately 0.0367 per second.
a) The Avrami equation is given by the equation t = k * (1 – exp(-r^n)), where t is the transformation time, k is a parameter, r is the rate of transformation, and n is a constant (in this case, n = 1.2). Given t = 180 seconds and the transformation is 90% complete, we can rearrange the equation to solve for k: k = t / (1 – exp(-r^n)). By substituting the values, we find k ≈ 0.00397.
b) To determine the rate of transformation, we can rearrange the Avrami equation and solve for r: r = (-ln(1 – (t / k)))^(1/n). Plugging in the values t = 180 seconds and k ≈ 0.00397, and n = 1.2, we can calculate r ≈ 0.0367 per second. This represents the rate at which the transformation progresses per unit time.
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Assume a scalar field ϕ is described in two coordinate systems xyz and uvw. Then, the integral of ϕ on a domain can be described by the two coordinate systems. ∭Dϕdxdydz=∭DϕJdudvdw where the factor J of volume integral is the Jacobian determinant J=∣∣∂u∂x∂v∂x∂w∂x∂u∂y∂v∂y∂w∂y∂u∂z∂v∂z∂w∂z∣∣. In this identity, the domain D is the geometric domain so that the range of (x,y,z) is the set of coordinate triples corresponding to points of D, and similarly for (u,v,w). Two dimensional version is ∬Dϕdxdydz=∬DϕJdudvdw where the factor J of volume integral is the Jacobian determinant J=∣∣∂u∂x∂v∂x∂u∂y∂v∂y∣∣. This technique of expressing the same integral by different coordinate systems is called "change of variables". Here is an example. D={(x,y):1≤x≤2&0≤y≤x} A simpler coordinate system for this domain is x=u,y=uv and the range of (u,v) is 1≤u≤2,0≤v≤1. Calculate the following expressions and verify if their values coincide. ∫12∫0xxy2dydx,∫12∫01x(u,v)y(u,v)2Jdvdu
The values of the two integral expressions, ∫₁² ∫₀ˣ xy² dy dx and
∫₁² ∫₀¹ x(u,v) y(u,v)² J dv du, do not coincide.
To calculate the given expressions and verify if their values coincide, we perform a change of variables using the Jacobian determinant.
Calculate the Jacobian determinant J for the transformation from (x, y) to (u, v):
J = |∂u/∂x ∂u/∂y| * |∂v/∂x ∂v/∂y|
= |1 0| * |v u|
= v.
Calculate the first integral expression:
∫₁² ∫₀ˣ xy² dy dx.
Apply the change of variables
x = u and
y = uv:
Limits of integration for y become 0 to x, which becomes 0 to u.
The domain D in new coordinates is 1 ≤ u ≤ 2 and 0 ≤ v ≤ 1.
Rewrite the integral as:
∫₁² ∫₀¹ (uv)(uv)² v dv du.
Evaluate the inner integral:
∫₀¹ (uv)³ v dv = (u⁴/4)(1/4) = u⁴/16.
Evaluate the outer integral:
∫₁² u⁴/16 du = [(u⁵/80)] from 1 to 2 = 32/80 - 1/80 = 31/80.
Calculate the second integral expression:
∫₁² ∫₀¹ x(u,v) y(u,v)² J dv du.
Apply the change of variables
x = u and
y = uv:
Limits of integration for y remain 0 to x, which becomes 0 to u.
The domain D in new coordinates is still 1 ≤ u ≤ 2 and 0 ≤ v ≤ 1.
Rewrite the integral as:
∫₁² ∫₀¹ (u)(uv)² v v dv du.
Evaluate the inner integral:
∫₀¹ (u)(uv)⁴ dv = (u⁵/5)(1/5) = u⁵/25.
Evaluate the outer integral:
∫₁² u⁵/25 du = [(u⁶/150)] from 1 to 2 = 64/150 - 1/150 = 31/75.
The values of the two integral expressions, ∫₁² ∫₀ˣ xy² dy dx and
∫₁² ∫₀¹ x(u,v) y(u,v)² J dv du, do not coincide. The first expression evaluates to 31/80, while the second expression evaluates to 31/75.
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Peter needs to build a fence around his small garden. The length of the fence can be no more than 10 ft., and he has 50 ft. of fencing that he can use. What are the possible dimensions of his garden?
Answer:
A backyard farmer wants to enclose a rectangular space for a new garden. She has purchased 80 feet of wire fencing to enclose 3 sides, and will put the 4th side against the backyard fence. Find a formula for the area enclosed by the fence if the sides of fencing perpendicular to the existing fence have length
L.
In a scenario like this involving geometry, it is often helpful to draw a picture. It might also be helpful to introduce a temporary variable,
W, to represent the side of fencing parallel to the 4th side or backyard fence.
Since we know we only have 80 feet of fence available, we know that
L + W + L = 80, or more simply, 2L + W = 80. This allows us to represent the width, W, in terms of L: W = 80 – 2L
Now we are ready to write an equation for the area the fence encloses. We know the area of a rectangle is length multiplied by width, so
A = LW = L(80 – 2L)
A(L) = 80L – 2L2
This formula represents the area of the fence in terms of the variable length
L.
Step-by-step explanation:
it's in the answer
please help due today;/
Which of the following rational functions is graphed below
Answer:
letter B
Step-by-step explanation:
The following figures show the first two steps of a proof of the pythagorean theorem. which of the following statements about this proof is false?
Answer: C
Step-by-step explanation:
The area of the larger square is a^2 and the area of the smaller square is b^2, so the area is a^2 + b^2, not (a+b)^2.
a deck of cards has three red cards, three blue cards, three yellow cards, and three green cards. you shuffle the deck and draw exactly two cards. what is the number of ways you can draw two cards of the same color?
There are 12 combination ways to draw two cards of the same color from the shuffled deck, since there are 6 pairs of cards of the same color to choose from.
1. There are a total of 12 cards with 3 cards of each color (red, blue, yellow, and green).
2. To draw two cards of the same color, you must choose one of the six pairs of cards of the same color, which can be done in 6 ways.
3. Therefore, there are 6 x 1 = 6 possible ways to draw two cards of the same color from the shuffled deck.
If you draw three cards combination instead of two, there are still 6 ways to draw cards of the same color, since you must still choose one of the six pairs of cards of the same color. This can be done in 6 x 1 x 1 = 6 ways.
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PLEASE HELP ITS REALLY EASYYYY AND ITS DUE IN AN HOUR
Answer:
7/9
Step-by-step explanation:
8/9 + -1/9
Rewriting
8/9 - 1/9
Since the denominators are the same, subtract the numerators
(8-1) /9
7/9
Answer:
7/9 is the answer. I hope this helps c:
which angle measures about 51°
Answer:
C
Step-by-step explanation:
It's the only acute angle.
Answer: C
Step-by-step explanation: c would be the awnser because it is the closest to a 45 degree angle
is it possible for a triangle to have an 80 degree angle and 105 degree angle? How do you know?
Answer:
Not possible.
Step-by-step explanation:
The sum of all 3 angles in a triangle is 180°. With the 80° and 105°, those add up to a total of 185°. This is bigger than can be with a given triangle. Therefore, a triangle with an 80° angle and a 105° angle is not possible.
Answer:
No it isn't possible
Step-by-step explanation:
sum of three angles of any triangle is 180 degrees.
so, as per Given question sum of only two angles exceeds 180 degrees which is " 80+105= 185" so it's not possible.. Hope this answer helps you
Suppose that my errors for Months 1−6 are (in order) −10,−2,3,−5,4, and −8. What is my Mean Absolute Deviation over Months 3-6?
a. −1.5
b. 5
c. 8
d. −3
The Mean Absolute Deviation over Months 3-6 is 5.
Correct answer is option C) 5
To calculate the Mean Absolute Deviation (MAD) over Months 3-6, we need to follow these steps:
Identify the errors for Months 3-6: The errors for Months 3-6 are 3, -5, 4, and -8.
Calculate the absolute value of each error: Taking the absolute value of each error gives us 3, 5, 4, and 8.
Find the sum of the absolute errors: Add up the absolute errors: \(3 + 5 + 4 + 8 = 20.\)
Divide the sum by the number of errors: Since there are 4 errors, we divide the sum (20) by 4 to get the average: 20/4 = 5.
Determine the Mean Absolute Deviation: The MAD is the average of the absolute errors, which is 5.
Therefore, the Mean Absolute Deviation over Months 3-6 is 5.
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Pls solve... will give brainliest... linear inequality
Answer the attached question ASAP!!!
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A. (1,-3)
Width-16 inches
Length-10 inches
Height- 2 inches
Describe the shape of the cross section when the box is cut parallel to the base.
What is the surface area of the box?
What is the surface area of the box if it is scaled up by a factor of 10?
What is the volume of the box?
What is the volume of the box if it is scaled down by a factor of 1/10?
Answer:
rectangle
424 in.²
42,400 in.²
320 in.³
0.32 in.³
Step-by-step explanation:
The box has the shape of a rectangular prism.
The cross section of the box is a rectangle.
The length and width are the length and width of the base of the prism.
surface area = perimeter of base × height + 2 × length × width
surface area = 2(length + width) × height + 2 × length × width
surface area = 2(10 in. + 16 in.) × 2 in. + 2 × 10 in. × 16 in.
surface area = 104 in.² + 320 in.²
surface area = 424 in.²
When you scale a solid by a factor of k on a linear measurement, the area is scaled by a factor of k². Since the linear dimensions are scaled by a factor of 10, then the surface area is scaled by a factor os 10² = 100. The surface area of the box scaled by a factor of 10 is 424 in.² × 100 = 42,400 in.²
volume = length × width × height
volume = 10 in. × 16 in. × 2 in.
volume = 320 in.³
When you scale the linear dimensions of a solid by a factor of k, the volume is scaled by a factor of k³. The linear scale factor is 1/10. The change in volume is a factor of (1/10)³ = 1/1000. The original volume is 320 in.³. The scaled volume is 320 in.³ × 1/1000 = 0.32 in.³.
21x^7y^7z^4+31x^4y^4 21x 7 y 7 z 4 +31x 4 y 4
Factor completely using GCF
The factored expression of 21x^7y^7z^4 + 31x^4y^4 is x^4y^4(21x^3y^3z^4 + 31)
How to factor the expression completely?The expression is given as
21x^7y^7z^4 + 31x^4y^4
Express the above expression as a product
So, we have
21x^7y^7z^4 + 31x^4y^4 = 21x^3y^3z^4 * x^4y^4 + 31 * x^4y^4
Factor out x^4y^4
So, we have
21x^7y^7z^4 + 31x^4y^4 = x^4y^4(21x^3y^3z^4 + 31)
Hence, the factored expression of 21x^7y^7z^4 + 31x^4y^4 is x^4y^4(21x^3y^3z^4 + 31)
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pls help me im so not smart lol
Answer:
7
Step-by-step explanation:
1 x 3=
2x3=6
4x3=12
7x3=21
Answer:
7
Step-by-step explanation:
im not that smart either but i think tis the 3s
1 x3 = 3
2 x3 = 6
4 x3 =12
7 x3 = 21
if tht makes any sense
(q12) Find the volume of the solid obtained by rotating the region under the curve
over the interval [4, 7] that will be rotated about the x-axis
To find the volume of the solid obtained by rotating the region under the curve over the interval [4, 7] about the x-axis, we can use the method of cylindrical shells.
The formula for the volume of a solid generated by rotating a curve f(x) about the x-axis, over an interval [a, b], is given by:
V = ∫[a, b] 2πx * f(x) * dx
In this case, the interval is [4, 7], so we need to evaluate the integral:
V = ∫[4, 7] 2πx * f(x) * dx
To find the function f(x), we need the equation of the curve. Unfortunately, you haven't provided the equation of the curve. If you can provide the equation of the curve, I will be able to help you further by calculating the integral and finding the volume.
Please provide the equation of the curve so that I can assist you in finding the volume of the solid.
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the slope in a least-squares regression line of the form y = a bx is ______
The slope in a least-squares regression line of the form y = a bx is equal to the coefficient b. This coefficient represents the rate of change in the dependent variable (y) for every one unit increase in the independent variable (x).
Specifically, it represents the change in y divided by the change in x, as b is calculated as the covariance between x and y divided by the variance of x.
This slope is important in understanding the relationship between the variables being studied and can help to make predictions about future values of the dependent variable based on changes in the independent variable.
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the ratio of peter's age to richard's age is $5:8.$ the ratio of john's age to peter's age is $7:12.$ none of the three are over $100$ years old. what is the sum of their ages?
The sum of Peter, Richard, and John's ages is 191.
We know that the ratio of Peter's age to Richard's age is = 5/8 --(i)
The ratio of John's age to Peter's age is = 7/12 --(ii)
Similarly, the ratio of John's age to Richard's age is = (5*7)/(8*12)= 35/96 -(iii)
Using the value of (i),(ii),(iii), we get -
Age of Peter = (5*12)/(8*12) = 60/96
= 60 years of age
Age of John = (7*5)/(12*5) = 35/60
=35 years of age
From the value of (iii), since no one is over 100 years of age, the age of Richard= 96 years of age
Hence the sum of their ages is = 96+35+60
= 191
Therefore, we know that the sum of their ages is 191.
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whats 6 divided by 24 (show work)
24/6 = 4
Step-by-step explanation:
6×4=24
Hope this help
Tia earns $19.25 per hour she worked 36 hours.what is her straight time pay
Answer:
q122a
Step-by-step explanation:
A business reports a net income of —$2,730over a 3-month period.
What is the average income per month for that period?
Using a graphical method, solve the simultaneous equations
X + y = 4
and
y = 2x+ 1
Answer:
x= 1, y=3
Step-by-step explanation:
x + (2x+1)= 4
3x+1=4
3x=4-1
x=1
Take x as 1
1 + y =4
y=4-1
y=3
Can someone help me with this please?
Answer:
skater: 12.5 meters in 1 second
cheetah: 26 meters in 1 second
Step-by-step explanation:
To find meters in 1 second (meters per second) divide meters by seconds.
skater: (500 m)/(40 s) = 12.5 m/s . . . . . 12.5 meters in 1 second
cheetah: (260 m)/(10 s) = 26 m/s . . . . . 26 meters in 1 second
What is the right translation of these expressions and equations? (with solution)
1. 7 - 2m
2. 3( m + 2) = 15
3. 5m - m(2 - m)
Answer:
7 - 2m can be translated to "7 minus two times m" or "the difference between 7 and twice m".
3(m + 2) = 15 can be translated to "three times the sum of m and 2 is equal to 15" or "the product of 3 and the sum of m and 2 is 15".
To solve the equation, we can start by distributing the 3 on the left side:
3(m + 2) = 15
3m + 6 = 15
Then, we can subtract 6 from both sides:
3m + 6 - 6 = 15 - 6
3m = 9
Finally, we can divide both sides by 3:
3m/3 = 9/3
m = 3
Therefore, the solution to the equation 3(m + 2) = 15 is m = 3.
5m - m(2 - m) can be translated to "5m minus the product of m and the difference between 2 and m" or "the difference between 5m and m times the quantity 2 minus m".
To simplify the expression, we can use the distributive property to expand the second term:
5m - m(2 - m) = 5m - 2m + m^2 = m^2 + 3m
Therefore, the simplified expression is m^2 + 3m.
You have recently taken out a loan for a new home. You place 10% down and finance the remaining balance. As part
of the closing cost, you are required to pay 2.5 points. Determine the amount of the loan prior to the addition of the
2.5 points to the loan if the final loan amount was for $151,625. Round your answer to the nearest cent.
a. $149,384.24
b. $148,651.96
C. $147,926.83
d. $147,208.74
Answer:b
Step-by-step explanation:
Answer:
D.$147,208.74 that should be the answer
What type of variable is the number of customers in line at the bank in a 24 hour period? qualitative continuous attribute discrete
The number of customers waiting in line at the bank over a 24-hour period is a discrete variable type.
By discrete variable, what do you mean?A variable whose value is determined by counting is referred to as a discrete variable. examples: the number of pupils in attendance. how many red marbles are in the container. when triple coins are turned, the count of heads. The number of pupils, kids, the shoe size, and so forth are some typical examples of discrete data. A statistical variable is referred to as a discrete variable if it presupposes a finite collection of data and a countable number of values. Contrarily, a continuous variable is a quantitative variable that accepts an endless quantity of data and an uncountable number of values.
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5. Betty claims the solution to the equation 4x - 5(x - 5) = 7x + 13 is x = 1.5. She shows her steps below to
justify her solution.
Given
Step 1:
Step 2:
Step 3:
Step 4:
Step 5:
4x5(x-5) = 7x + 13
4x5x + 25 = 7x + 13
-x+ 25 = 7x + 13
25 = 8x + 13
12 = 8x
1.5 = x
Select the all correct justifications for the given steps.
Step 1: Distributive Property
Step 2: Combining Like Terms
Step 3: Addition Property of Equality
Step 4: Subtraction Property of Equality
Step 5: Associative Property of Equality
Answer:
See attached image
Step-by-step explanation:
Every step holds except for step 5
In mathematics, it deals with numbers of operations according to the statements.
Here,
Step 1 is the result of the distribution of -5 while opening the parenthesis, So, Step 1 holds the distributive property.
Step 2, states adding like terms across each side, so combining as terms hold,
Step 3, Addition over the equal sign. So it also holds
Step 4, subtraction of 12 over the equal sign. So subtraction of the terms also holds.
Step 5, does not hold because the number 12 gets divided by 8 it is not an associative property.
Thus, Every step holds except for step 5.
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