2. If AABC is mapped onto AJED after a translation and AJED is mapped onto ARST after a line reflection, the relationship between AABC and ARST is that they are always
1) congruent and similar
2) congruent but not similar
3) similar but not congruent
4) neither congruent nor similar
The relationship between AABC and ARST is that they are always is neither congruent nor similar. 4.
The relationship between AABC and ARST, after the described transformations (translation and line reflection), can be determined based on the properties of the transformations.
Congruent and Similar:
Congruent figures have the same shape and size, while similar figures have the same shape but different sizes.
Since the question mentions a translation and a line reflection, these transformations preserve both shape and size.
If AABC and AJED are congruent due to the translation and AJED and ARST are also congruent due to the line reflection, then AABC and ARST would be congruent as well.
However, the question does not specify whether the figures are similar or not, so we cannot conclude that they are similar.
Congruent but Not Similar:
As mentioned earlier, congruent figures have the same shape and size.
If AABC and AJED are congruent due to the translation and AJED and ARST are congruent due to the line reflection, it follows that AABC and ARST would also be congruent.
We cannot determine whether they are similar or not.
Similar but Not Congruent:
Similar figures have the same shape but different sizes.
Since the question does not provide any information about the angles or side ratios of the figures, we cannot conclude that AABC and ARST are similar.
Neither Congruent nor Similar:
Based on the information given, this is the most accurate choice.
Without additional information about the angles or side ratios, we cannot determine whether AABC and ARST are congruent or similar.
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A particular medicine decays at a rate of 16% every 4 hours. If a person takes a 25 mg dose, answer
the following questions.
a. Write a function that represents the amount of medicine after h hours.
b. How much is left after 4 hours? 8 hours?
Answer:
25 x 0.84 ^ h = X
After 4 hours there will be 12.45 milligrams of the medicine, and after 8 hours there will be 6.20 milligrams of it.
Step-by-step explanation:
Given that a particular medicine decays at a rate of 16% every 4 hours, if a person takes a 25 mg dose, to write a function that represents the amount of medicine after h hours, and determine how much is left after 4 hours and 8 hours, the following calculations must be performed:
100 - 16 = 84
25 x 0.84 ^ h = X
25 x 0.84 ^ 4 = X
25 x 0.4978 = X
12.45 = X
25 x 0.84 ^ 8 = X
25 x 0.2478 = X
6.20 = X
Therefore, after 4 hours there will be 12.45 milligrams of the medicine, and after 8 hours there will be 6.20 milligrams of it.
how would you intercept the value of the slope in the least squares line
The slope of the least squares regression line represents the rate of change of the output variable relative to the input variable.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation shown as follows:
y = mx + b
The coefficients m and b have the meaning presented as follows:
m is the slope of the function, representing the increase/decrease in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, it is the value of y when the graph of the function crosses or touches the y-axis.The least squares line is a linear function, hence the slope represents the rate of change of the output variable relative to the input variable.
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Monica left 900 pesos to Bianca. When Monica asked for it after six months, Bianca decided to give 945 pesos instead because she was able to use the money. What interest rate on Monica's money did Bianca use? *
Answer:
10%
Step-by-step explanation:
What outcome is likely to occur for a hypothesis test evaluating a treatment that has a very large and robust effect?
For the given statement, we have to correctly rejecting the null hypothesis.
According to the statement
we have to find the outcome when hypothesis test evaluating a treatment that has a very large and robust effect.
For this purpose, we know that the
A hypothesis is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.
And according to the given statement it is clear that the by this we have to rejected this hypothesis.
because this treatment and the large effects are not possible for the independent values of the hypothesis.
In other words, we can say that the we have to correctly rejecting the null hypothesis.
So, For the given statement, we have to correctly rejecting the null hypothesis.
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Which expression is the correct translation of the following word phrase?
"the product of 8 and a number is equal to the number increased by 2"
The expression that represents the correct translation of the phrase is 8x = x + 2
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.
Let x represent the unknown number, the product of 8 and a number is equal to the number increased by 2, hence:
8 * x = x + 2
8x = x + 2
The expression that represents the correct translation of the phrase is 8x = x + 2
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Solve the right triangle, Please Do not Roundup. NEED HELP ASAP PLEASE.
The angles and length of the right triangle are as follows:
WX = 10√141 units
m∠X = 30°
m∠V = 60°
How to find the side of a right angle triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a right angle triangle is 180 degrees.
Trigonometric ratios can be used to find the side and angles of the right triangle as follows;
Therefore,
Using Pythagoras's theorem,
WX² = (20√47)² - (10√47)²
WX² = 400(47) - 100(47)
WX² = 18800 - 4700
WX = √14100
WX = 10√141
Let's find the angles
sin m∠X = opposite / hypotenuse
sin m∠X = 10√47 / 20√47
sin m∠X = 1 / 2
m∠X = sin⁻¹ 0.5
m∠X = 30 degrees
Therefore,
m∠V = 180 - 90 - 30
m∠V = 60 degrees
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In the past year Maya watched 34 movies that she thought were very good. She watched 40 movies over the whole year. Of the movies she watched, what percentage did she rate as very good?
Answer:
90 percent
Step-by-step explanation:
the fraction is 90/100 so the percentage is 90%
which of the following is not influenced by stream velocity? discharge suspended load dissolved load abrasion bed load
The stream velocity has no influence on the amount of dissolved load it contains. The amount of dissolved material depends on erosion and deposition carried out in the watercourse. These are affected by factors such as the slope of the land, the resistance of the material to erosion, the size of the sediments transported, etc.
Which of the following is not influenced by stream velocity?Dissolved loadStream velocity plays an important role in the transport of sediments and dissolved loads in a watercourse. It affects the erosion and deposition processes that occur in the watercourse, which in turn affect the amount of sediment and dissolved load that is carried by the stream. For example, faster stream velocities can cause more erosion of the stream bed, leading to more material being carried in the water.
Sediment is any particulate matter that is transported by a fluid, and it can come in many different forms. The three main types of sediment are:
The suspended load is made up of small particles that are carried along in the water column. The bed load consists of larger particles that are moved along the bottom of the streambed. And the dissolved load is made up of particles that are carried in solution.Learn more about Erosion: https://brainly.com/question/17905503
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the sum of 8 and -13.
Answer:
-104 is the answer .....
Terry used a total of 52 inches of ribbon to make 6 decorations. He used the same amount of ribbon for each decoration. How much ribbon did Terry use for each decoration?
Answer:52 x 6=312
Step-by-step explanation:
Terry used 52 inches of ribbon for the same amount. He's multiplying. Hope this helped.
What is the domain of the given function?
domain is {x | x, -6, -1, 0, 3}
To determine the domain of the given function, we need to identify all the valid input values (x-values) for which the function is defined. Looking at the given data, we have the following pairs of x and y values: (-6, -7), (-1, 1), (0, 9), and (3, -2).
The domain of the function is simply the set of all x-values from these pairs. Thus, the domain of the function is {-6, -1, 0, 3}, as these are the valid input values for which we have corresponding output values.
In summary, the domain of the given function is {-6, -1, 0, 3}.
Therefore, domain is {x | x, -6, -1, 0, 3}
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A water well drilling rig can dig -48 feet after one full day (24 hours) of continuous use. Assuming the rig drilled at a constant rate, what was the height of the drill after 15 hours?
we have the next information
48 ft in 24 hours
x ft in 15 hours
x is the height of the drill after 15 hours
x can be calculated if we multiply 15 by 48 and then we divide the result between 24
\(\begin{gathered} x=\frac{15\cdot48}{24} \\ \end{gathered}\)\(\begin{gathered} x=\frac{720}{24} \\ x=30 \end{gathered}\)the height that was drill after 15 hours was 30 ft
find the exact values of the sine, cosine, and tangent of the angle. 255° = 300° − 45°
The exact values of the sine, cosine, and tangent of the angle 255° are -1/√2, 1/√2, and -1, respectively.
To find the exact values of the sine, cosine, and tangent of the angle 255°, we can use the identity that relates the trigonometric functions of an angle to the trigonometric functions of its complement.
By expressing 255° as the sum of 300° and -45°, we can determine the exact values of the trigonometric functions for the given angle.
We know that the sine, cosine, and tangent of an angle are periodic functions, repeating every 360 degrees. To find the exact values of the trigonometric functions for 255°, we can express it as the sum of 300° and -45°, where 300° is a multiple of 360°.
Since the sine, cosine, and tangent functions are odd or even functions, we can use the values of the trigonometric functions for 45° to determine the values for -45°.
For 45°:
sin(45°) = cos(45°) = 1/√2
tan(45°) = 1
Since cosine is an even function, cos(-45°) = cos(45°) = 1/√2.
Since sine is an odd function, sin(-45°) = -sin(45°) = -1/√2.
Using the definition of tangent as the ratio of sine to cosine, tan(-45°) = sin(-45°) / cos(-45°) = (-1/√2) / (1/√2) = -1.
Therefore, for the angle 255°:
sin(255°) = -1/√2
cos(255°) = 1/√2
tan(255°) = -1
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Find the value of y for the given value of x.
3. y = 3x - 5; x = 2
Answer:
x=2
Step-by-step explanation:
Answer: Y=1/3 X=2
Step-by-step explanation: Have a brilliant day mate- Lily (^_^)
Plzz mark brainliest if this helped you.
21. At the gränd opening of a sporting goods store, the store is giving a free (-shirt to every 12th
person who attends. They give a $25 gift card to every 30th person. Which person will get both
a t-shirt and a gift card?
The person at the 300th number will get a t-shirt and a gift card both.
Given, at the grand opening of a sporting goods store, the store is giving a free shirt to every 12th person who attends.
They give a $25 gift card to every 30th person.
We have to find that which person will get both a t-shirt and a gift card.
To find the person who will get both, we have to find the LCM of 12 and 25.
As, the LCM of 12 and 25 is 300
So, the person at the 300th number will get a t-shirt and a gift card both.
Hence, the person at the 300th number will get a t-shirt and a gift card both.
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There are 40Student in a class. If the number of boys is 4less than the number of girls.find the number of boys.
Answer:
18
Step-by-step explanation:
Let number of girls be 'x'.
So, Number of boys = Number of girls - 4
= x - 4
Total number of students in a class = 40
Number of girls + Number of boys = Total number of students in a class
\( \longrightarrow \) x + x - 4 = 40
\( \longrightarrow \) 2x - 4 = 40
\( \longrightarrow \) 2x - 4 + 4 = 40 + 4
\( \longrightarrow \) 2x = 44
\( \longrightarrow \) \( \sf \dfrac{2x}{2} = \dfrac{44}{2} \)
\( \longrightarrow \) x = 22
\( \therefore \) Number of boys = 22 - 4
= 18
Ya this big brain time if u solve this u will get brainlist
Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100
Answer:
There are no solutions whenever k=4,5mod9.
This holds since it is not difficult to verify that for every integer n, we have n3=0,±1mod9.
Up till this year, there were just two values for k in the range 1..100 for which it was not known if there were a solution. These values are k=33,42.
Both values are now known to have solutions. See 42 is the answer to the question “
Suppose X and Y are independent Poisson random variables. Find the conditional probability mass function P(X=k∣X+Y=m)
[duplicate]
The conditional probability mass function P(X=k∣X+Y=m)= P(X=k, Y=m-k) / P(X+Y=m)
To find the conditional probability mass function P(X=k∣X+Y=m) for independent Poisson random variables X and Y, follow these steps:
1. Write down the joint probability mass function of X and Y:
P(X=k, Y=n)
= P(X=k) * P(Y=n) since X and Y are independent.
2. Express P(X=k) and P(Y=n) using the Poisson probability mass function:
P(X=k) = (e^(-λx) * λx^k) / k! and P(Y=n) = (e^(-λy) * λy^n) / n!
3. Plug these expressions into the joint probability mass function:
P(X=k, Y=n)
= [(e^(-λx) * λx^k) / k!] * [(e^(-λy) * λy^n) / n!]
4. Write down the marginal probability mass function for
X+Y: P(X+Y=m)
= Σ [P(X=k, Y=m-k)] for k=0 to m, where the summation is over all possible values of k.
5. Calculate the conditional probability mass function P(X=k∣X+Y=m) by dividing the joint probability mass function by the marginal probability mass function:
P(X=k∣X+Y=m) = P(X=k, Y=m-k) / P(X+Y=m)
In summary, the conditional probability mass function P(X=k∣X+Y=m) for independent Poisson random variables X and Y can be found using the joint probability mass function, the Poisson probability mass function, and the marginal probability mass function.
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A regression analysis resulted in the following fitted regression line y = 35 − 1.2x
In addition, the total sum of squares was SSY = 2758, and the error sum of squares was SSE = 652.
[a] Compute r 2 , the coefficient of determination. Round your answer to four decimal places.
[b] Compute r, the correlation coefficient. Round your answer to four decimal places.
[c] Compute the predicted mean of Y when X = 10
The regression analysis yielded a fitted line, y = 35 - 1.2x, with a coefficient of determination of 0.7632, a correlation coefficient of 0.8740, and a predicted mean of Y = 23 when X = 10.
To compute the coefficient of determination (r²), the correlation coefficient (r), and the predicted mean of Y when X = 10, we can use the given regression line y = 35 - 1.2x and the formulas related to regression analysis.
The coefficient of determination (r²) represents the proportion of the total variation in the dependent variable (Y) that can be explained by the independent variable (X). It is calculated by dividing the explained sum of squares (SSR) by the total sum of squares (SSY).
[a] To compute r²:
SSR = SSY - SSE
SSR = 2758 - 652 = 2106
r² = SSR / SSY
r² = 2106 / 2758 = 0.7632
Therefore, the coefficient of determination (r²) is 0.7632 (rounded to four decimal places).
[b] To compute the correlation coefficient (r):
We can use the formula:
r = √(r²)
r = √(0.7632) = 0.8740
Therefore, the correlation coefficient (r) is 0.8740 (rounded to four decimal places).
[c] To compute the predicted mean of Y when X = 10:
We can substitute the value of X = 10 into the regression line equation y = 35 - 1.2x:
y = 35 - 1.2(10)
y = 35 - 12
y = 23
Therefore, the predicted mean of Y when X = 10 is 23.
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Enter inequality that represents the graph in the box
The inequality that represents the graph in the given diagram is: y ≥ 4x - 6.
How to Write the Inequality that Represents a Graph?The inequality sign to use depends on the boundary line, whether it is dashed or solid line. And also, it depends on where the shaded area of the graph lies, above or below the boundary line.
The boundary line in the graph is a solid line, and the shaded area is above the boundary line, therefore, the inequality sign we would use is, "≥".
Find the slope (m) of the boundary line.
Slope (m) = rise/run = 4 units / 1 unit
Slope (m) = 4
The y-intercept (b) is -6 [this is where the value of x = 0, and also the point where the y-axis is intercepted].
Substitute m = 4 and b = -6 into y ≥ mx + b
y ≥ (4)x + (-6)
y ≥ 4x - 6
Thus, the inequality that represents the graph in the given diagram is: y ≥ 4x - 6.
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15x minus 8 is less than 32
Answer:
If you want this in an equation, it would be \(15x <32\)
If you want the answer to this, it would be \(x<2\frac{2}{15}\)
Step-by-step explanation:
Hope this helps:)
a) Calculate the size of angle x in the diagram
below.
b) Work out the bearing of A from B.
The angle x in the diagram is 98 degrees.
How to find the angles in parallel lines?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.
Therefore, let's find the angle of x using the angle relationships as follows:
The size of the angle x can be found as follows:
82 + x = 180(same side interior angles)
Same side interior angles are supplementary.
Hence,
82 + x = 180
x = 180 - 82
x = 98 degrees
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what is a negative multiplied by a negative
Answer:
\(( - ) \times ( - ) = ( + )\)
Negative × Negative = positive
Example;
\( (- 1) \times (- 1 )=( + 1)\)
I hope I helped you^_^
Please help! Will give BRAINLIEST
Answer:
9
Step-by-step explanation:
45/5=9
Step-by-step explanation:
total lost = 45
no of days = 5
so average = 45/5
=9
PLEASE HELP MEEEE! I have no clue what the answer is
Answer:
y = 4x - 4
Step-by-step explanation:
to write a linear equation you need to know 2 components: slope and y-intercept
find slope by selecting 2 points, for example, (1,0) and (2,4)
slope ('m') = difference of y-values 4 - 0 = 4
difference of x-values 2 - 1 1
to find y-intercept ('b'), plug values into the slope-intercept form of a line, which is:
y = mx + b
you need a point and the slope of 4/1; can use any point
we'll use (2,4) where x =2 and y=4 and, again, m = 4
4 = 2(4) + b
4 = 8 + b
-4 = b
You tie a spherical balloon that is 2 feet in diameter to a
stake in the ground. The string is 15 feet long. The wind
blows and you observe that the top of the balloon is
8 feet over from the stake, as shown in the diagram.
What is the height, b, of the balloon?
Show your work.
15 ft
2 ft
8 ft
Answer:
Step-by-step explanation:
Can i pass 7th grade with 3 Fs?
Answer:
Depends on the state you’re from
Step-by-step explanation:
Answer:
Yes you can! Grades from middle school don't matter when you get to high school. But try to get those grades up!
can someone help please
The height of an equilateral triangle is 27 in. Find the perimeter of the triangle.
Answer:
a = 27
perimeter = 3a
= 3 * 27
= 81