The procedures will eliminate a variable in one of the equations in the system 5x - 2y = 3 3x - y = 4 is
A. Multiply the second equation by –2 then add the result to the first equation.
What are the types of solutions of a system f linear equations?If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.
There are only three matching forms of solution for a given system of equations because there are only three different ways that two straight lines in the plane can graph.
Given, A linear system,
5x - 2y = 3...(1) and 3x - y = 4...(2)
Now, To eliminate one of the variables 'x' or 'y' we can apply arithmetic operations to the linear operations.
Now, If we Multiply the second equation by - 2 and then add the result to the first equation we'll have,
- 6x + 2y = - 8
Now, Adding this to the eqn(1) variable 'y' gets cancelled and we have,
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how many pattern block rhombuses would create 3 hexagons
9 block rhombuses would create 3 hexagons.
In order to increase the total number by three, a hexagon can be divided into a minimum of three rhombuses, each of which can be further divided into four rhombuses. With n being a positive integer, the result is 3n. The top two hexagons in this image are each divided into 8 and 10 rhombuses. The total number of rhombuses that can fit in a hexagon is not limited to multiples of three, given that the total number of rhombuses dividing a hexagon can be raised by three by quartering a single component rhombus. The amount might actually be any integer larger than 7.
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The probability that a marksman will hit a target each time he shoots is 0. 89. If he fires 15 times, what is the probability that he hits the target at most 13 times?.
The probability that marksman will hits the target at most 13 times is 27.92%.
Explain the term binomial distribution?Let X be the quantity of times that target is hit and be a random variable. 15 rounds are fired, hence the number of trials ("n") is equal to 10 as a result. In a binomial distribution, "p" denotes the likelihood of success, and "q" is the likelihood of failure (where q = 1 - p). Since there is a 0.89 chance of striking the target, p = 0.89 and q = 0.11.The number of successes ("x") is the probability mass function for such binomial distribution.
P(X = x) = ⁿCₓ . pˣ . qⁿ⁻ˣ
We are interested in the likelihood that the target will be struck exactly five times, therefore the desired number of successes is five (i.e., x = 13).
P(X = 13) = ¹⁵C₁₃. (0.89)¹³ (0.11)²
P(X = 13) = 0.2792
P(X = 13) = 27.92%
Thus, the probability that marksman will hits the target at most 13 times is 27.92%.
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PLEASE HELP
Explain how you can use SSS, SAS, ASA, OR AAS with the definition of congruence to prove the statement true
Answer:
D, AAS.
Step-by-step explanation:
So basically the a's and s' mean angle and side. this means that if there is a line on both of the triangles on one side this means that those sides of the triangle are congruent. this is the same case with the angles. if you were to have one congruent side inbetween two congruent angles, you would use ASA, which stands for angle side angle, to prove that the triangles are congruent. some more examples are:
side, side, angle =SSA.
angle, angle side = AAS. (the problem in question)
hope this helps :)
The answer is option C)
What is the AAS congruence rule?If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent. This is the AAS congruence rule.
Given here in ΔVTY and ΔWYX
VY = WX , ∠VYT = ∠WXY and ∠VTY = ∠WYX
Therefore, by AAS congruence rule , we get ΔVTY≅ ΔWYX
Accordingly, by the property of congruence of triangles we get
TV = YW
Hence, option C) ΔVTY≅ ΔWYX by AAS, so TV = YW by def of ≅
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It is claimed that 75% of puppies are house-trained by the time they are 6 months old. To investigate this claim, a random sample of 50 puppies is selected. It is discovered that 42 are house-trained by the time they are 6 months old. A trainer would like to know if the data provide convincing evidence that greater than 75% of puppies are house-trained by the time they are 6 months old. Are the conditions for inference met?
Yes, the conditions for inference are met.
No, one condition is not met.
No, two conditions are not met.
No, three conditions are not met.
There are three conditions for inference, which are:The sample is representative of the population.The sample size is sufficiently large.The sampling distribution is normal since the sample size is large enough.Below are the necessary steps to determine if the conditions for inference are met.
Step 1: Identifying the Population and Parameter Let p be the proportion of puppies that are house-trained by the time they are 6 months old. Since the objective is to determine if there is sufficient evidence to claim that p > 0.75, this implies that the hypothesis of interest is the alternative hypothesis which is:H1: p > 0.75 The null hypothesis, which is the complement of the alternative hypothesis, is:H0: p ≤ 0.75 Step 2: Checking the Randomization Condition The randomization condition is met if we assume that the 50 puppies are randomly selected from the population of all puppies.
The randomization condition is met.Step 3: Checking the Sample Size Condition A sample size of 50 puppies is not a small sample size, and this condition is met.Step 4: Checking the Independence Assumption It is assumed that the 50 puppies are independent. tribution to calculate the p-value or use the z-test for proportion to carry out the hypothesis test for the claim that more than 75% of puppies are house-trained by the time they are 6 months old.
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simplify to an expression of the form (a sin()). 6 sin 6 6 cos 6
The expression in the form of (a sin()) is 12 sin 6 sin (42). This is the simplified form of the original expression.
To simplify the expression 6 sin 6 6 cos 6 into an expression of the form (a sin()), we need to use the identity sin^2(x) + cos^2(x) = 1. We can rewrite 6 cos 6 as 6 sin (90-6) using the identity sin(x+y) = sin(x)cos(y) + cos(x)sin(y). Therefore, our expression becomes 6 sin 6 6 sin (84).
Now, using the identity sin(x-y) = sin(x)cos(y) - cos(x)sin(y), we can simplify further to get:
6 sin 6 6 sin (90-6)
= 6 sin 6 6 sin 6cos(84)
= 6 sin 6 (2 sin 6 cos 84)
= 12 sin 6 sin (42).
Therefore, the expression in the form of (a sin()) is 12 sin 6 sin (42). This is the simplified form of the original expression.
In summary, to simplify an expression to the form (a sin()), we need to use trigonometric identities and manipulate the expression until it is in the desired form. In this case, we used the identities sin(x+y) and sin(x-y) to simplify the expression 6 sin 6 6 cos 6 into the expression 12 sin 6 sin (42).
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The numerical value of standard deviation can never be______
The standard deviation lies in the range of 0 to 1. The numerical value of standard deviation can never be negative.
The standard deviation is a measure of amount of variation or dispersion of a set of values. When we compare two unequal observations, the result is always greater than zero i.e., always positive.
Standard deviation is the square root of the variance of the observations and the root always gives values either positive or zero, it can never be negative.
Therefore, the numerical value of the standard deviation can be positive. The value of standard deviation is always greater or equal to zero.
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if 5 builders take 5 days to make 5 walls, how long would it take 100 builders to make 100 walls? days
To approach this type of problem, you have to make a couple of reasonable assumptions - first, that each worker works at the same pace, and second, that the effort to build each wall is the same.
Next, figure out how much effort is required to build one wall. The effort is measured in “working days”. So, how many days does one worker need to build one wall, or how many workers would be required to build one wall in one day? We can calculate this by dividing the 25 worker days used to build five walls by the number of walls (5). So we need five worker days per wall.
(5 workers) x (5 days) = 25 worker-days;
25 worker days/5 walls = 5 worker days per wall.
With 100 workers, it will take five days to build 100 walls. Each worker will build one wall in 5 days. So it will also take 5 days for all 100 workers to build all 100 walls.
100 x 5 = 500 worker days;
500 worker-days / 100 workers = 5 days (answer)
Explain the difference between a line with a slope of 0 and a line with no slope.
Answer:
A line with a slope of 0 is horizontal, while a line with no slope is completely vertical.
Step-by-step explanation:
Haley can read 5/8 pages in 2/3 minutes how many pages can she read in one minute
Given parameters:
Number of pages Haley can read = \(\frac{5}{8}\) pages
Time to read the pages = \(\frac{2}{3}\) min
Unknown:
Number of pages that can be read in 1 min = ?
Solution:
To solve this problem let us find Haley's rate;
Rate = \(\frac{Number of pages Haley can read}{Time }\)
Input the parameters and find the rate;
Rate = \(\frac{5}{8} / \frac{2}{3}\)
Rate = \(\frac{5}{8} x \frac{3}{2}\)
Rate = \(\frac{15}{16}\) pages/min
Now that we know the rate;
In 1 min; number of pages Haley can read;
Number of pages = Rate x time
Number of pages = \(\frac{15}{16}\) x 1 = \(\frac{15}{16}\)\(\frac{15}{16}\) pages
Haley can read pages \(\frac{15}{16}\) in 1 minute.
please help me is you help me i will give you brainlest!!!!!
Which figure has no line of symmetry
Answer:
the first figure
Step-by-step explanation:
The number of days since your last haircut and the length of your hair
Independent variable:
Dependent variable:
Description:
Independent variable: the number of days. Time is (almost always) independent.
Dependent: the length of your hair. It is based on how many days it has been since your last haircut.
Description: I am not really sure what you are looking for here, but I'll take a guess. As the number of days increases since your last haircut, the length of your hair will get longer. This would be a positive slope linear equation in quadrant I. The y intercept would be the length of your hair at Days = 0 (meaning the day you got your hair cut).
Alexander is drawing a map of the Federal Triangle in Washington, D.C. The actual Federal Triangle has a base of 3000feet and height of 1200 feet. Alexander needs his drawing to fit on his paper, so he decides to make the base of his triangle 10 inches.
What scale is Alexander using?
The scale of the drawing is 1 inch represents 300 feet .
What is the scale of the drawing?A scale drawing is a smaller image of a larger diagram or object in terms of dimensions. The scale drawing is usually reduced at a constant dimension.
In order to determine the scale of the drawing, divide the base of the actual Federal triangle by the base of the drawing.
Scale of the drawing = original dimensions / dimensions of the scale drawing
3000 / 10 = 300
1 inch represents 300 feet
1 inch : 300 feet
The scale of a drawing is usually written in this format - one a colon (:), the result of the division of the original dimension and the dimension of the scale.
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a tower that is 106 feet tall casts a shadow 135 feet long. find the angle of elevation of the sun to the nearest degree.
The angle of elevation of the sun is \(tan^{-1}\)(106/ 135).
The angle of elevation:
The angle is formed by the line of sight and the horizontal plane for an object above the horizontal.
Here we have to find the angle of elevation of the sun.
Data given:
length of the tower = 106 feet
shadow form by the tower = 135 feet
The formula for the angle of elevation = height/base
tanФ = height/base
= 106/ 135
Ф = \(tan^{-1}\)(106/135)
Therefore the angle of elevation is \(tan^{-1}\)( 106/ 135).
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The entire league division that the Hawks belong to has the same ratio of red heads to everyone else. What is the total number of red heads in that division if the total number of players is 126?
This question is incomplete
Complete Question
The little league team called the Hawks has 7 brunettes, 5 blonds, and 2 red heads.
The entire little league division that The Hawks belong to has the same ratio of redheads to everyone else.
What is the total number of redheads in that division if the total number of players is 126?
Answer:
18 red heads
Step-by-step explanation:
We are told:
The little league team called the Hawks has 7 brunettes, 5 blonds, and 2 red heads.
Hence, we have the ratio
7: 5: 2
Adding up the ratios together
7 + 5 + 2
= 14
The total number of players is 126
Hence, the total number of redheads in that division is
2/14 × 126
= 18 red heads.
report error the side lengths of $\triangle abc$ are $6$, $8$, and $10$. what is the inradius of $\triangle abc$?
The inradius of the triangle of the given dimensions will be equal to the value 2.
To find the inradius of a triangle, we need to know the semi perimeter of the triangle, which is half of the perimeter. The perimeter of a triangle is the sum of the lengths of its sides. So, the semi perimeter of triangle ABC is (6+8+10)/2 = 12.
Now that we know the semi perimeter, we can use the formula for the inradius of a triangle:
inradius = √(s-a)(s-b)(s-c)/s
where a, b, and c are the lengths of the sides of the triangle and s is the semi perimeter.
Plugging in the values for a, b, c, and s, we get:
inradius = √(12-6)(12-8)(12-10)/12 = √(6)(4)(2)/12 = √48/12} = √4 = 2
Therefore, the inradius of triangle ABC is 2.
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PLS HELP ME!!!!! will give brainlist
Answer:
its 2 units down and 1 unit to the left
Step-by-step explanation:
Find the area of the regular polygon.
The perimeter of 14 and radius of 2.5
Answer:
The area of the regular polygon is 17.5.
Step-by-step explanation:
To find the area of the regular polygon with a perimeter of 14 and radius of 2.5, the following calculation must be performed, knowing that the area of a regular polygon arises from multiplying the perimeter by the apothem divided by two:
(14 x 2.5) / 2 = X
35/2 = X
17.5 = X
Therefore, the area of the regular polygon is 17.5.
Simplify each expression 2m+6(2/3-m);m=4
Answer:
3 (m-2)-5=8-2 (m-4)
Step-by-step explanation:
please mark me as brainliest.
Answer:
-12
Step-by-step explanation:
find the area occupied by the base of a cylindrical bowl if the base is 9 cm?
Answer:
is it radius or diameter?
I need Help it’s timed
Answer:
They are all equal sides so divide 180 by 3
Step-by-step explanation:
you are packing clothes for vacation and don’t want to take any button down shirts. You randomly choose three shirts from a jar containing three T-shirts, three polo shirts, and four button downs.
a) what is the probability that the first three shirts are button downs when you replace each shirt before choosing the next one?
b) what is the probability that the first three shirts are button downs when you do not replace each shirt before choosing the next one?
a) Because each pick is independent (we pick and then replace), we just have to find the probability of picking it out once, then cube that. This probability is 4/(3+3+4)=2/5. So, it is 8/125.
b) If we replace it, then we can do it in a strategic way:
The probability of picking it out the first time is 2/5. Now, there are 3 button downs and 9 shirts total.
The second time: 3/9=1/3
Now there are 2 and 8
Third time: 2/8=1/4.
The final probability is 2/5*1/3*1/4=1/30
Please help me FAST
Answer:
I believe it's either equation one or three. hope that helps :)
pls hep
Simplify: |x+3| if x>5
we can simplify |x + 3| to x + 3 when x is greater than 5.
How to deal with mode?The absolute value function |x| is defined as the distance of x from zero on the number line. This means that |x| is always non-negative, so it can be expressed as a non-negative number.
In this case, we are given that x > 5, which means that x is greater than 5. If we add 3 to both sides of this inequality, we get:
x + 3 > 5 + 3
x + 3 > 8
This tells us that x + 3 is also greater than 8. Therefore, when x is greater than 5, the expression |x + 3| represents the distance of x + 3 from zero, which is equal to x + 3 itself because x + 3 is positive.
As a result, we can simplify |x + 3| to x + 3 when x is greater than 5.
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Graph the systemY= 0.5 x + 5x - 2y=8find the solution to the system if there is no solution put no solution if there is infinite put infinitelable the system as consistent or inconsistent
We have the next system of equations
\(\begin{cases}y=0.5x+5\ldots(1) \\ x-2y=8\ldots(2)\end{cases}\)To solve the systme we must replace equation (1) in equation (2)
\(x-2(0.5x+5)=8\)Simplifying,
\(\begin{gathered} x-\lbrack2(0.5x)+2(5)\rbrack=8 \\ x-\lbrack x+10\rbrack=8 \\ x-x-10=8 \\ -10=8\text{ } \\ \text{this, is false. So, the system has no solution} \end{gathered}\)To graph the system we must graph equation (1) and (2)
- equation (1)
x-intercept: (-10, 0)
y-intercept: (0, 5)
-equation (2)
x-intercept
The graphs never intersect, we can confirm that the system has no solution.
Help plz using rational exponents.
Answer:
3. -3
4. 9
5. -5
Step-by-step explanation:
I can’t write radicals but fraction exponents change the number into a radical. Numerator being the power of the number and denominator being the type of root it is.
how does deviance clarify moral boundaries and affirm norms?
Deviance is a concept that refers to behaviors or actions that are outside of the norms and expectations of a particular society or group. In many ways, deviance clarifies moral boundaries and affirms norms because it helps define what is considered acceptable and unacceptable behavior within a particular community.
When individuals engage in deviant behavior, it draws attention to the fact that there are established norms and expectations for behavior within a society. For example, if someone steals from a store, it is considered deviant behavior because it goes against the norm of honesty and fair dealing. This deviant behavior highlights the fact that there is a norm of honesty and fair dealing in society, and helps to reinforce it. Similarly, when deviant behavior is punished, it sends a message to others in the community that the behavior is unacceptable and reinforces the norm against it. For example, if a person is punished for stealing from a store, it sends a message to others that this behavior is not tolerated and reinforces the norm of honesty and fair dealing.
In conclusion, deviance clarifies moral boundaries and affirms norms because it highlights and reinforces established expectations for behavior within a society. When individuals engage in deviant behavior, it brings attention to these norms and reinforces their importance.
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How do I solve this?
Answer:
85
Step-by-step explanation:
Consider the system x1 hx2 = 2 4x1 8x2 = k. choose h and k so that the system has (a) no solution (b) a unique solution (c) many solutions
These values of h and k are specific to the given system of equations and may not apply to other systems.
(a) The system has no solution when h = 16.
(b) The system has a unique solution for any value of h ≠ 16.
(c) The system has many solutions when h = 16.
To determine the values of h and k that result in different solutions for the given system of equations, let's analyze the coefficient matrix of the system:
```
2 4
8 h
```
(a) To have no solution, the coefficient matrix must be inconsistent. This occurs when the determinant of the matrix is zero. In this case, the determinant is 2h - 32. So, to have no solution, we need 2h - 32 = 0. Solving this equation, we find h = 16. Therefore, the system has no solution when h = 16.
(b) To have a unique solution, the coefficient matrix must be consistent and have a non-zero determinant. This means that 2h - 32 ≠ 0. Since the determinant of the coefficient matrix is 2h - 32, we can conclude that the system has a unique solution for any value of h such that h ≠ 16.
(c) To have many solutions, the coefficient matrix must be consistent and have a determinant of zero. In this case, we need 2h - 32 = 0, which gives us h = 16. Therefore, the system has many solutions when h = 16.
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Look at ASTU on this coordinate grid. Suppose that AS'T'U' is the result of 8 points
a dilation of ASTU with a scale factor of 2. What are the coordinates of
point S?*
6
т
5 4
3.
N
1
1
S
U
-5 -5 -4 -3 -2 -1 0
$54
1
2 3 4 5
6x
به دی د اما
ov
O (4,2)
0 (0,-3)
O (3.4)
O (6,9)
Answer:
(4,2)
Step-by-step explanation:
i multiplied the S values by the scale factor to get the S dash
The coordinates of the point S' after dilation is S' ( 4 , 2 )
What is Dilation?Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent
Given data ,
Let the triangle be represented as ΔSTU
Now , the coordinates of the triangle are
S ( 2 , 1 ) , T ( 4 , 5 ) and U ( 4 , 1 )
Now , the dilation scale factor is k = 2
So , the coordinates of the triangle after the dilation is
S' ( 4 , 2 ) , T' ( 8 , 10 ) and U' ( 8 , 2 )
Hence , the coordinate of S' is S' ( 4 , 2 )
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57:48
which relationship has a zero slope?
2 E OF
х
-3
-1
1
3
у
2
2
2
2
х
-3
-1
1
3
y
3
1
-1
-3
Mark this and return
Save and Exit
Next
Submit
Answer:
the first option
Step-by-step explanation:
i serched it up on socratic and it said that was the answer
The correct table which has zero slope is, Table 1.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
To find the correct table which has zero slope.
Now,
From 1;
Two points on the table are (-3, 2) and (-1, 2).
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (2 - 2) / (- 1 + 3)
m = 0 / 2
m = 0
From 2;
Two points on the table are (-3, 3) and (-1, 1).
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (1 - 3) / (- 1 + 3)
m = - 2 / 2
m = - 1
From 3;
Two points on the line are (1, 1) and (2, 2).
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (2 - 1) / (2 - 1)
m = 1/1
m = 1
From 4;
Two points on the line are (-2, 1) and (-2, 2).
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (2 - 1) / (- 2 + 2)
m = 1/0
m = ∞
Thus, Table 1 has slope zero.
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