The triangle EFG is an isosceles triangle as side EF is congruent to side EG.
How to determine a triangle according to its sides
In this question we have a triangle whose vertices are known. We need to define the figure according to the congruency among its sides. Two sides are congruent when both have the same length. There are three kinds of triangles:
Scalene - Three sides of different length.Isosceles - Two sides of equal length.Equilateral - All sides are of equal length.Sides are formed each pair of vertices. The length of each side can be found by means of Pythagorean theorem:
l = √[(Δx)² + (Δy)²]
First, write the locations of the vertices:
E(x, y) = (1, 4), F(x, y) = (5, 4), G(x, y) = (1, 0)
Second, determine the length of every side of the triangle:
EF = √[(5 - 1)² + (4 - 4)²]
EF = 4
FG = √[(1 - 5)² + (0 - 4)²]
FG = √[4² + (- 4)²]
FG = 4√2
EG = √[(1 - 1)² + (0 - 4)²]
EG = 4
By direct comparison, we conclude that the triangle EFG is an isosceles triangle.
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Which expression is equivalent to -3(2x - 8) + 4x?
A
B
C
D
-2x-8
-2x + 24
-10x8
-10x + 24
Answer:
-2x+24
Step-by-step explanation:
given,
= -3(2x-8)+4x
= -6x+24+4x
= 2x+24
therefore 2x+24 is the required equation.
hope it helps!
Factor each completely and show your work.
2x^2 + 11y + 5
Which of the following shows the interval of the domain where
the function f(x)=x2 - 2x+5 is decreasing?
The domain of the function where the function is decreasing is (-∞, 1). Then the correct option is D.
What are domain and range?The domain means all the possible values of the x and the range means all the possible values of the y.
The function is given below.
f(x) = x² - 2x + 5
The equation can be written as
f(x) = x² - 2x + 1 + 4
f(x) = (x - 1)² + 4
Then the domain of the function where the function is decreasing will be (-∞, 1).
Then the correct option is D.
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Write an equation in point-slope form of the line that passes through the point (4,-1) and has a slope of -5
Answer:
y+1=-5(x-4)
Step-by-step explanation:
YOUR WELCOME
A triangle has a base of 12 feet and a height of 8 feet. By how much does the height need to increase for the area to increase by 4.5 square feet?
Answer:
hello gimme-Dem points.
Step-by-step explanation:
x−4y=−4 Determine the x- and y-intercepts for the equation given in standard form. Give your answers as integers.
Answer:
For X is (x=4y−4) and for Y is (y= 1 /4 x+1)
Step-by-step explanation:
Let's solve for x.
x−4y=−4
Step 1: Add 4y to both sides.
x−4y+4y=−4+4y
x=4y−4
Answer:
x=4y−4
Let's solve for y.
x−4y=−4
Step 1: Add -x to both sides.
x−4y+−x=−4+−x
−4y=−x−4
Step 2: Divide both sides by -4.
−4y /−4 = −x−4 /−4
y= 1 /4 x+1
what is the solution to the equation 35-2x=23
Answer:
x = 6
Step-by-step explanation:
35 - 2x = 23
35 - 23 - 2x = 0
35 - 23 = 2x
12 = 2x
x = 6
35- 2x = 23
Subtract 35 from both sides.
-2x = 23 - 35Subtract 35 from 23 to get −12.
-2x = -12Divide both sides by −2.
x = -12 / - 2Divide −12 by −2 to get 6.
x = 6 ===> AnswerWhat are the sums for both of those?
What values of the orbital number, or angular momentum (l) and magnetic (m_l) quantum numbers...
1a)The values of l range from 0 to (n-1), so for n = 3, l can have the values 0, 1, and 2.
b) The values of m can be -2, -1, 0, +1, and +2
c) There are a total of 9 orbitals
What are quantum numbers?
The qualities and traits of quantum systems, like the electrons in atoms, are described by a set of numbers known as quantum numbers. They offer knowledge on the system's energy, angular momentum, orientation, and spin, among other characteristics.
Using the formula, number of electrons = \(n^2\)
Number of electrons =\(3^2 = 9\)
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Can the triangles be proven similar and how
Answer:
yes
Step-by-step explanation:
∣−1−g∣=−1
solve for the variable
Answer:
no solution
Step-by-step explanation:
|-1-g|=-1
There's no value of g that makes the equation be true since an absolute value can never be negative.
Can you deposit $1200 into a savings account that earns simple interest at a rate of 3% per year. How much interest have you learned after three years?
Answer:4,200
Step-by-step explanation:
The original balance in Aisha’s account was $760. Last week, she wrote five checks to her employees, each for $100. what is Aisha’s net balance?
Aisha's net balance after writing the check of $100 to five employees will be $260 .
Given, Aisha’s account balance $760.
Now, to get the net balance of account after deductions .
Remaining amount = Original Balance - Payment amount.
Substitute the values,
Remaining amount = $760 - 5 × $100
Remaining amount = $760 - $500
Remaining amount = $260
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pleases show workkkkkkkkkkkkkkkk
Answer:
5) 2(4 - n) = -3n
2 × 4 - 2 × n = -3n
8 - 2n = -3n
-2n + 3n = -8
1n = -8
n = -8/1
n = -8
6) 5 - 3(2 + 2w) = -7
5 - 3 × 2 + -3 × 2w = -7
5 - 6 - 6w = -7
-1 - 6w = -7
-6w = -7 + 1
-6w = -6
w = -6/-6
w = 1
7) 5(2r + 3) - 5 = 0
5 × 2r + 5 × 3 - 5 = 0
10r + 15 - 5 = 0
10r + 10 = 0
10r = -10
r = -10/10
r = -1
8) 3 - 5(2d - 3) = 4
3 - 5 × 2d - 5 × -3 = 4
3 - 10d + 15 = 4
-10d + 15 + 3 = 4
-10d + 18 = 4
-10d = 4 - 18
-10d = -14
d = -14/-10
d = 7/5
hope this helps you!!
in a regression model, if variance of the dependent variable, y, conditional on an explanatory variable, x, or var(y|x), is not constant, .
The t statistics and the confidence intervals are both invalid no matter how large sample size is in a regression model if variance of dependent variable Y, conditional on an explanatory variable x , or Var(y|x) is not constant.
Regression is a statistical technique that relates independent variable to one or more independent variables
It shows Whether changes observed in the dependent variable are associated with the changes in one more more of the explanatory variables .
The 2 basic type of regressions are
Simple linear regression Multi linear regressionIf in a regression model, a variance of dependent variable Y ,conditional on an dependent variable x is not constant then the t statistics and the confidence intervals both are not valid regardless of sample size
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Put these numbers in order from least to greatest.
Answer:
Switch the second and third one on what you have now. U r good to go
Step-by-step explanation:
7/25=.28
8/32=.25
Find the critical point of the given function and then determine whether it is a local maximum, local minimum, or saddle point. (Order your answers from smallest to largest xx, then from smallest to largest yy.)f(x,y)=(x−y)(xy−9)
The critical points of function f(x,y) are (0,0) and (2,1), and (2,1) is a local maximum.
To find the critical points of f(x,y), we need to find all values of (x,y) where the gradient of f(x,y) equals zero. The gradient of f(x,y) is given by:
∇f(x,y) = <(y-2xy), (x-2y^2)>
Setting each component of the gradient equal to zero yields two equations:
y - 2xy = 0
x - 2y^2 = 0
Solving these equations simultaneously, we obtain two critical points: (0,0) and (2,1).
To determine the nature of each critical point, we compute the Hessian matrix of f(x,y):
H(f) = [ 2y -2x ]
[-2y 4y ]
At (0,0), H(f) = [0 0; 0 0], which is a degenerate matrix. Therefore, we cannot use the second derivative test to determine the nature of this critical point.
At (2,1), H(f) = [2 -4; -2 4], which has a negative determinant and a positive trace. Therefore, by the second derivative test, we conclude that (2,1) is a local maximum.
In summary, the critical points of f(x,y) are (0,0) and (2,1), and (2,1) is a local maximum.
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Can someone help me with this?
Billy has a gift card with a $160 balance. He buys several video games that cost $40 each. After the purchases, his gift card balance is $40. Enter an equation to help find out how many video games Billy bought.
Answer:
160÷3=40
Step-by-step explanation:
that is the answerrrrrrrrrrrrrrrrrrrrrrrrrrr
Which of the following terms correctly describe the object below?A.SquareB.PolygonC.TriangleD.PolyhedronE.PyramidF.Prism
Recall the definition of each concept to check if it fits the figure.
A) Square: A square is a quadrilateral whose sides all have the same length.
B) Polygon: A polygon is a 2D shape formed by non-intersecting straight segments.
C) Triangle: A triangle is a polygon with exactly 3 sides.
D) Polyhedron: A polyhedron is a 3D shape formed by flat polygonal shapes.
E) Pyramid: A pyramid is a polyhedron formed by a simple polygon whose lateral faces are triangles that converge in a common vertex.
F) Prism: A prism is a polyhedron formed by two parallel and equal polygonal faces, whose lateral faces are parallelograms.
The given object is a 3D shape formed by flat polygonal shapes, with a base that is a quadrilateral and whose lateral faces are triangles that converge in a common vertex.
Therefore, the only two terms that correcty describe the given object are:
D) Polyhedron
E) Pyramid
What impact does the reinforcement schedule you follow (e.g., continuous or partial (Fixed Ratio... Varied Ratio.... Fixed Interval...Varied Interval) have on how quickly a response/behavior will be learned and how quickly extinction will occur?
The choice of reinforcement schedule can have important implications for both learning and the persistence of behavior over time.
The reinforcement schedule can have a significant impact on how quickly a response/behavior is learned and how quickly extinction occurs.
In general, continuous reinforcement schedules (where the behavior is reinforced every time it occurs) tend to result in faster learning of the behavior than partial reinforcement schedules (where the behavior is only reinforced some of the time). This is because the individual learns more quickly that the behavior is associated with the reinforcement.
However, once the behavior is learned, partial reinforcement schedules tend to result in greater resistance to extinction than continuous reinforcement schedules. This is because the individual has learned that the behavior is not always followed by reinforcement, so they are more likely to persist in the behavior even if reinforcement is no longer provided.
Among partial reinforcement schedules, fixed ratio schedules (where reinforcement is provided after a fixed number of responses) tend to lead to the fastest responding and highest rates of responding, but also tend to result in rapid extinction once reinforcement is removed. In contrast, variable ratio schedules (where reinforcement is provided after an average number of responses, with some variation) tend to lead to more stable responding and slower extinction. Fixed interval and variable interval schedules (where reinforcement is provided after the first response following a fixed or variable amount of time) tend to lead to moderate rates of responding and moderate resistance to extinction.
Overall, the choice of reinforcement schedule can have important implications for both learning and the persistence of behavior over time.
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For what values of r will the area of the shaded region be greater than or equal to half of the area of the larger rectangle
(The larger rectangle has a length of 12 cm and a width of 8 cm)
(the shaded region has a length of r and a width of 6cm)
The values of r where the area of the shaded region be greater are values at least 8
Calculating the values of r where the area of the shaded region be greaterFrom the question, we have the following parameters that can be used in our computation:
The larger rectangle has a length of 12 cm and a width of 8 cm)The shaded region has a length of r and a width of 6cmThe area of the larger rectangle is
Area = 12 * 8
Area = 96
The area of the shaded region is
Area = r * 6
Area = 6r
When the shaded region is greater than or equal to half of the area of the larger rectangle, we have
6r ≥ 1/2 * 96
This gives
r ≥ 1/12 * 96
Evaluate
r ≥ 8
Hence, the values of r are r ≥ 8
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6. suppose that x is an exponential random variable with mean 1. give another random variable that is negatively correlated with x and that is also exponential with mean 1.
If we let Z = 3 - X, then Z is another exponential random variable with mean 1 that is negatively correlated with X.
Let Y = 2 - X, where X is an exponential random variable with mean 1.
To show that Y is negatively correlated with X, we need to show that Cov(X,Y) < 0.
Cov(X,Y) = E[XY] - E[X]E[Y]
Since X and Y are both exponentially distributed with mean 1, we have:
E[X] = 1, E[Y] = 2 - E[X] = 1
E[XY] = E[X(2-X)] = 2E[X] - E[X^2] = 2 - Var(X)
Var(X) = E[X^2] - (E[X])^2 = 1 - 1^2 = 0
Therefore, Var(X) = 0, which means that E[XY] = 2, and Cov(X,Y) = E[XY] - E[X]E[Y] = 2 - 1*1 = 1 > 0.
Since Cov(X,Y) > 0, we know that Y is positively correlated with X. To find a random variable that is negatively correlated with X, we can use Y = 3 - X instead.
Therefore, if we let Z = 3 - X, then Z is another exponential random variable with mean 1 that is negatively correlated with X.
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Express the polynomial as a product of linear factors.fr) = 3x^3+12x^2 + 3x – 18A. (x+3)(x+6)(x-1)B. (x-3)(x+3)(x-2)C. (X-34x+3)(x-3)D. 3(x-1)(x+3)(x + 2)SUBMIT
you need first see something all the numbers in the polynomial can be divided by 3 then we can rewrite the polynomial as
3(x^3+4x^2+x-6)
the polynomial x^3+4x^2+x-6 is easier to solve and find the roots
the roots are
x = -3
x = -2
x = 1
and finally
we can rewrite the polynomial as
3(x+3)(x+2)(x-1)
so we can say that the right answer is D. 3(x-1)(x+3)(x + 2)
what formulas can be used to find a triangular prism
a javalina rancher wants to enclose a rectangular area and then divide it into 5 pens with fencing parallel to one side of the rectangle. there are 580 feet of fencing available to complete the job. what is the largest possible total area of the 5 pens?
When there is 580 feet of fencing available to complete the job, the largest possible total area of the 5 pens is 7008.33 feet.
What is an area?The quantity area expresses the extent of a region on a plane or curved surface.
STEP 1: We know that,
A=x y
The perimeter equals 580feet.
The equation is,
580=6x+2y
Step 2: Solving y terns with x,
y=-3x+290
This information will assist us in obtaining our Area equation in terms of a single variable (just in terms of x).
Step 3: Using the x-y relationship discovered in Step 2, write your Area equation in terms of x only. You should obtain
A=x y
A=x(-3x+290)
A=-3x²+290x
Step 4: Derive the area equation, A' = -6x+290
Step 5: Set A' = 0
-6x+290=0
x=290/6
x=48.33
Step 6: Find y by substituting 48.33 in x in the perimeter equation then,
y=-3(48.33)+290
y=145.01
Step 7: A=x y
A=(48.33)(145.01)
A=7008.33 feet
The largest possible total area of the 5 pens is 7008.33 feet
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4 cards are drawn from a pack without replacement. What is the probability of getting all 4 from different suits?
The probability of getting all 4 cards from different suits is 0.267 or approximately 26.7%.
There are 4 suits in a standard deck of cards, and there are 13 cards in each suit. There are C(52,4) ways to choose 4 cards from a deck of 52 cards.
To calculate the probability of getting 4 cards from different suits, we can break it down into steps:
Choose 1 card from any suit (there are 52 possible cards to choose from).
Choose the next card from one of the 39 remaining cards of a different suit (there are 39 cards remaining after taking out the 13 cards from the first suit).
Choose the third card from one of the 26 remaining cards of a different suit (there are 26 cards remaining after taking out the 13 cards from the first and second suits).
Choose the fourth card from one of the 13 remaining cards of a different suit (there are 13 cards remaining after taking out the 13 cards from the first, second, and third suits).
The probability of getting all 4 cards from different suits can be calculated as:
P = (52/52) x (39/51) x (26/50) x (13/49) = 0.267
Therefore, the probability of getting all 4 cards from different suits is 0.267 or approximately 26.7%.
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Section 1 - Question 6 Two brothers saved up $348 to share equally. Yesterday they gave $127 of the $348 to their sister. They used the following inequalities to represent this situation 2m + 127 < 348 2m < 221 m < 110.50 What does the final step in this inequality stand for? A the amount that both brothers have already spent B the amount that each brother has given to his sister С the amount available to each brother to spend D the total amount available to both brothers to spend
Answer:
for how much each kid gets
Step-by-step explanation: big brain math kid
Answer:
Step-by-step explanation:
Connie flips a coin and rolls a standard number cube. Find the probability that the coin will show tails and the cube will show a three, four, or six.
The probability that the coin will show tails and the cube will show a three, four, or six is 1/4.
The probability of two independent events occurring, we multiply their individual probabilities.
Let's start by determining the probability of the coin showing tails.
Since it is a fair coin, there are two equally likely outcomes: heads or tails.
The probability of the coin showing tails is 1/2.
Next, we consider the number cube.
It is a standard six-sided die, and we want to find the probability of rolling a three, four, or six.
Out of the six possible outcomes (numbers 1 to 6), three of them satisfy our condition (3, 4, and 6).
The probability of rolling a three, four, or six is 3/6 or 1/2.
Now, we can find the probability of both events occurring by multiplying the probabilities together:
P(Tails and 3, 4, or 6) = P(Tails) × P(3, 4, or 6)
= 1/2 × 1/2
= 1/4
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What way of warming up is preferred after exercise?
A. Static
B. Dynamic
C. Calestitic
D. Isometric
Answer:
Static
Step-by-step explanation:
By process of elimination, static is the only one that would work.
Answer:
static.
Step-by-step explanation:
\(\\ \leq \int\limits^a_b {x} \, dx x^{2} \sqrt{x} \sqrt[n]{x} \leq \geq \neq \lim_{n \to \infty} a_n \int\limits^a_b {x} \, dx \left \{ {{y=2} \atop {x=2}} \right.\)