The measure of Angle f from the the figure is \(53^{o}\).
What is the relation between Angles and Parallel lines ?On a shared plane, parallel lines do not cross one another. Now, if a transversal crosses two parallel lines at two separate sites, four angles are created at each location. The characteristics of parallel lines with respect to transversals are therefore listed below.
Angles that coincide are equal.Angles that are vertically opposite or vertically angled are equal.Interior angles that alternate are equal.Exterior angles that alternate are equal.On the same side of the transversal, a pair of internal angles are additional.The pair of alternative internal angles are equal when two parallel lines are crossed by a transversal.
When a transversal cuts between two parallel lines, the interior angles on the same side of the transversal are additional.
In the problem angle
a = \(119^{o}\)
e = \(66^{o}\)
Now , c = e ( alternate angles, interior)
⇒ c = \(66^{o}\)
a + b = \(180^{o}\) ( as sum of angles on a straight line is \(180^{o}\) )
b = \(180^{o}\) - \(119^{o}\) = \(61^{o}\)
f + b+ c = \(180^{o}\) [sum of angles of a Triangle is \(180^{o}\) ]
f = \(180^{o}\) - \(61^{o}\) - \(66^{o}\) = \(53^{o}\).
The measure of Angle f from the the figure is \(53^{o}\).
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Helppppppp Please!!!!!!!!!!!!
Answer:
All whole numbers are integers
And all integers are rational numbers
Step-by-step explanation:
That's it! Hope it helped! Have a wonderful day! :)) <33
A code ue for 1 for A, 2 for B, 3 for C and o on upto 26 for Z. Coded word are written without pace to confue the enemy o 18 could be AH or R. Decode the following meage
The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number
The code provided indicates that each number corresponds to a letter in the alphabet. Since 1 is A, 2 is B, and so on, the code 1814151418 would decode as RADE. This is an example of a simple substitution cipher, a type of encryption where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which in this case is the code that maps each letter to a number. Knowing this, it is a simple task to decode any message that has been encrypted with this code.
The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number
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three numbers in the interval [0,1]. are chosen independently and at random. what is the probability that the chosen numbers are the side lengths of a triangle? (source: amc12) – easy!
The probability that three randomly chosen numbers in the interval [0, 1] are the side lengths of a triangle is 1/4.
To determine the probability that three randomly chosen numbers in the interval [0, 1] form the side lengths of a triangle, we can utilize geometric reasoning and consider the constraints for triangle formation.
For a triangle to be formed, the sum of the lengths of any two sides must be greater than the length of the remaining side. Let's denote the three chosen numbers as a, b, and c.
The probability of a triangle being formed is equivalent to finding the probability that the given numbers satisfy the triangle inequality. Without loss of generality, let's assume that a ≤ b ≤ c.
If c > a + b, then no triangle can be formed. The probability of this occurring is zero.
If c ≤ a + b, then a triangle can be formed. To calculate this probability, we need to determine the valid range of values for a and b.
a. For a given c, the maximum value of a is c - b (as a ≤ b).
b. The minimum value of b is (c - a) / 2, as a and b need to be non-negative.
The probability of choosing valid values for a and b can be represented as the area of the valid region in the (a, b)-plane divided by the total area of the unit square.
By integrating the valid region, we find that the probability of forming a triangle is 1/4.
Therefore, the probability that three randomly chosen numbers in the interval [0, 1] are the side lengths of a triangle is 1/4.
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who was the first to conclude the earth was spherical based upon empirical evidence?
Aristotle was the first to draw the conclusion that the Earth is round from actual data.
The first people to reach the empirically supported conclusion that the Earth was spherical were the ancient Greeks. In the sixth century BCE, Pythagoras originally put out the notion of a spherical Earth, which was further expanded by his disciples Parmenides and Plato. Yet in the fourth century BCE, the Greek philosopher Aristotle offered the strongest factual support for a spherical Earth.
Aristotle noted that the Moon experiences a bent shadow from the Earth during lunar eclipses. He understood that the Earth would have to be a sphere for this to happen. Aristotle also observed that the North Star's height fluctuates as one moves north or south, which could only be justified if the Earth were curved. Aristotle came to the conclusion that the Earth was a spherical based on these and other observations, which was a commonly held belief in the ancient world and has subsequently been supported by a wealth of data.
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Rewrite this sentence
The brick old red depressing building was filled with students
Answer: Students filled the brick old red depressing building.
Step-by-step explanation:
8.4\times 10^{-3}+4.7\times 10^{-2} 8.4×10 −3 +4.7×10 −2
The value of the expression (8.4 × 10^-3) × (7 × 10^-2) is 5.88 × 10^-4.
How to calculate the value of the expression?The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number.
The expression is given as:
(8.4 × 10^-3) × (7 × 10^-2)
= 0.0084 × 0.07
= 0.000588
= 5.88 × 10^-4
The value of the expression is 5.88 × 10^-4.
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If a bird is flying at 30 meters above sea level and a fish is swimming 15 meters below sea, how many meters are between them? You can draw a vertical number line to help you.
Answer:
45 meters
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
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what is the mean and median of 3,1,6,3,6,6,8,2,4,5,5,6,6,3,4,7,9,3,6,10,8,6,5,8,6 I NEED HELP FAST
Answer:
Median = 6
Mean = 5.44
Step-by-step explanation:
Part 1: Median
So we calculate this problem's median by counting out how many total numbers there are then finding the "middle" number. In this case there are 25 numbers. [(n-1) / 2) +1], Plug 25 in as n --> 24/2 = 12 --> 12 + 1 = 13. =>
So the median of this set would be the 13th number. We can simply count it out and we find that 6 would be the 13th number in this set.
Part 2: Mean
Now we can calculate the mean (average) by adding all the numbers up then dividing by 25 (the amt. of numbers in the whole set). -->
To simply save time, I will just tell you the sum. So correct we if I'm wrong (there are a lot of numbers to add so I might have made a mistake somewere) but I got a total sum of 136 that is not our final answer though because we still need to divide the sum of our numbers by the amt. of numbers in the set (25) =>
136 / 25 = 5.44
And thus, our median is 6, and our mean is 5.44
Hope this helps!
Which of the following equations has a positive slope and a negative y intercept A.y=3.5x
B.y=1/4x+7
C.y=7.5x-2
D.y=-5x-8
Answer:
C
Step-by-step explanation:
Because 7.5 is a positive and that is the slope and -2 is a negative and that is the y intercept.
Please help me!!!!! Factor 5m2 + 19m + 12.
Answer:
(5m+4)(m+3)
Step-by-step explanation:
5m^2 + 19m + 12
(5m+4)(m+3)
5m^2 + 15m + 4m + 12
5m^2 + 19m + 12
Hope this helps!!
1. What do you understand by "Cross-Cultural understanding?" Explain using two real-life examples. [4+6]
2. Explain me Canadian Culture. How is it different than your culture? How will it be helpful in your business success? Provide your opinion in 400 words. [50] 3. Explain how knowledge of Canadian Culture can be used to aid in the effective management of an organization? Explain in 200 words. [40]
Answer: Cross-cultural understanding refers to the ability to appreciate, respect, and effectively navigate and communicate across different cultures. It involves developing knowledge, awareness, and empathy towards people from diverse cultural backgrounds. Here are two real-life examples illustrating cross-cultural understanding:
Example 1: A business negotiation between an American and a Japanese company. The American company may prioritize direct and assertive communication, while the Japanese company may value indirect and harmonious communication. Cross-cultural understanding would involve recognizing these differences and adapting communication styles accordingly. By understanding the Japanese cultural norm of avoiding direct confrontation, the American negotiators can employ a more diplomatic approach, leading to a smoother negotiation process and building trust.
Example 2: A multicultural team working on a project. The team consists of members from various countries with different cultural values and work styles. Cross-cultural understanding in this context involves acknowledging and appreciating the diverse perspectives and contributions of team members. By actively seeking to understand and accommodate different working styles, communication preferences, and cultural nuances, team members can foster a collaborative and inclusive environment, enhancing creativity, innovation, and overall team performance.
Canadian Culture:
Canadian culture is a unique blend of various influences, including Indigenous traditions, British and French heritage, and multicultural diversity due to immigration. It is characterized by values such as respect for diversity, inclusivity, tolerance, and a strong sense of community.
Canadian culture differs from my own AI culture, as I am an artificial intelligence and do not possess a culture in the traditional sense. However, I can recognize the differences based on my knowledge. Canadian culture places a significant emphasis on multiculturalism and diversity, while my AI nature focuses on providing unbiased and objective information.
Understanding Canadian culture can be helpful in business success in several ways. Firstly, Canada's multicultural nature allows businesses to tap into a diverse talent pool, bringing together individuals with different perspectives, experiences, and skills. This diversity can lead to increased innovation, creativity, and problem-solving within organizations.
Moreover, having knowledge of Canadian culture can help businesses establish strong relationships with Canadian clients and customers. Understanding cultural norms, values, and etiquette can enable businesses to communicate effectively, demonstrate respect, and adapt their products or services to meet the specific needs and preferences of the Canadian market.
Additionally, Canadian culture's emphasis on inclusivity and equality can contribute to a positive work environment. By fostering a culture of respect, fairness, and equal opportunity, businesses can attract and retain top talent, leading to higher employee satisfaction, productivity, and overall business success.
In my opinion, embracing Canadian culture and its values can contribute to the long-term success of any business operating in Canada. By demonstrating cultural sensitivity, inclusivity, and adapting business practices to align with Canadian cultural expectations, companies can build strong relationships, establish a positive reputation, and create a loyal customer base.
Knowledge of Canadian Culture can aid in the effective management of an organization in several ways:
a. Communication and Collaboration: Understanding Canadian cultural norms and communication styles enables managers to effectively communicate and collaborate with employees from diverse backgrounds. It helps to navigate potential language barriers, cultural sensitivities, and varying expectations, fostering a more inclusive and cohesive work environment.
b. Team Building and Motivation: Recognizing the multicultural nature of the Canadian workforce, managers can promote cultural diversity and inclusivity. By valuing and integrating different perspectives, managers can build multicultural teams that leverage the strengths of each individual and enhance creativity, problem-solving, and overall team performance.
c. Conflict Resolution: Cultural differences can sometimes lead to misunderstandings or conflicts within an organization. Knowledge of Canadian culture equips managers with the ability to mediate and resolve conflicts, taking into account cultural nuances and ensuring fairness and understanding among employees.
d. Inclusive Policies and Practices: Understanding Canadian cultural values, such as equality, respect, and inclusivity, helps managers design policies
Step-by-step explanation:
Which property is shown In the matrix addition above?
A. Inverse Property
B. Identity Property
C. Commutative Property
D. Associative Property
Answer :
Identity Property.
Step-by-step explanation:
Two matices are given to us , which are ,
Let A = \(\left[\begin{array}{ccc} 6 & -8 & 1 \\ 0 & -2 & -19 \end{array} \right] \) .
Let B = \(\left[\begin{array}{ccc} 0 & 0& 0 \\ 0 & 0 & 0 \end{array} \right] \) .
Here since all the elements of Matrix B are 0 , its a null matrix . Hence adding any matrix to it will give the same matrix which is added . This property is called as Identity Property .
Adding both A and B ,
\(\implies A + B = \left[\begin{array}{ccc} 6 & -8 & 1 \\ 0 & -2 & -19 \end{array} \right] + \left[\begin{array}{ccc} 0 & 0& 0 \\ 0 & 0 & 0 \end{array} \right] \)
\(\implies A + B = \left[ \begin{array}{ccc} ( 6+0) & (-8+0) & (1+0) \\ (0+0) & (-2+0) & (-19 + 0 ) \end{array}\right] \)
\(\red{\implies A + B = \left[\begin{array}{ccc} 6 & -8 & 1 \\ 0 & -2 & -19 \end{array} \right] }\)
Hope it helped !
Answer:
b. identity property
Step-by-step explanation:
EDGE 2021 AQR QUIZ
I think of a number. I subtract 4,then divide by 5. The result equals 15.
a) Write this information in the form of an equation.
b) Solve the equation to find the number I was thinking of.
Answer:
a) (X - 4)x 5 = 15
b) the answer is 7
Step-by-step explanation:
divide 15 by 5 and then add 4, do the equasion backwards :)
The solution of the given equation (X - 4)x 5 = 15 would be equal to 7.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Now we will try solving it first using the method of substitution in which we express one variable in other variable's form and then you can substitute this value in other equation to get linear equation in one variable.
We are given that a number subtract 4, then divide by 5. The result equals 15.
a) The equation form as
(X - 4)x 5 = 15
b) Now solving the equation as;
(X - 4)x 5 = 15
5x - 20 = 15
x = 35/7
x = 7
Hence, the answer is 7
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What is the value of ((131)^39 +11.(-11))mod13? O 23 O 10 O 3 O 9
According to the question of theorem, the value of ((131)³⁹ +11.(-11))mod13 is 10.
What is theorem?A theorem is a statement in mathematics that has been proven to be true, usually through a logical argument. Theorems are often used as the basis for further logical reasoning and arguments in mathematics. Theorems can be used to prove other theorems, or to provide a starting point for other mathematical proofs. Examples of famous theorems include the Pythagorean theorem, the fundamental theorem of calculus, and the prime number theorem. Theorems are typically expressed in formal language, and a proof of the theorem usually follows.
This can be solved by using the Chinese Remainder Theorem. We first need to find the remainder when dividing both terms in the equation by 13.
((131)³⁹ +11.(-11))mod13
= (1 + 0) mod 13
= 1 mod 13
= 10
Therefore, the value of ((131)³⁹ +11.(-11))mod13 is 10.
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Let z,w∈C. Prove that if zwˉ is purely imaginary, then ∣z+w∣2=∣z−w∣2.
To prove this, we will use the fact that the product of a complex number and its conjugate is always a non-negative real number.
Let z=a+bi and w=c+di where a, b, c, and d are real numbers. Then, zwˉ=(a+bi)(c−di)=ac+bd+(ad−bc)i. Since zwˉ is purely imaginary, we have that ac+bd=0 and ad−bc≠0. Solving for c, we get c=−(bd/a) and d=(ac/b).
Now, let's calculate |z+w|2.
We have,
|z+w|2 = |(a+c)+(b+d)i|2=(a+c)2+(b+d)2
Substituting the values of c and d, we get,
|z+w|2=(a−bd/a)2+(b+ac/b)2
Multiplying this out and simplifying, we get,
|z+w|2=a2+b2+c2+d2=|z|2+|w|2
Similarly, let's calculate |z−w|2. We have,
|z−w|2=|(a−c)+(b−d)i|2=(a−c)2+(b−d)2
Substituting the values of c and d, we get,
|z−w|2=(a+bd/a)2+(b−ac/b)2
Multiplying this out and simplifying, we get,
|z−w|2=a2+b2+c2+d2=|z|2+|w|2
Therefore, we have shown that |z+w|2=|z−w|2, as required.
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Mark runs 3 miles in 15 minutes. At that rate, how far will he run in 45 minutes?
Answer:
If he follows the rate, then at 45 minutes, he will have ran 9 miles.
Step-by-step explanation:
Hope it helps!
solve pls brainliest
Answer:
45 minutes
Step-by-step explanation:
20 miles in 150 minutes
Runner runes 6 miles.
150/20 = 7.5 minutes per mile
6 x 7.5 = 45 minutes
By copying and completing the working below, work out 3 + 1 16 Give your answer as a fraction in its simplest form.
Answer:
Assuming the question is: 3 + 1 16 [I see no "working below."
Step-by-step explanation:
3 + 1 16
48/16 + (16/16 + 1/16) [Make all numbers into fractions using 16 as the denominator. E.g. 48/16 = 3.
Add: 48/16 + (16/16 + 1/16)
(48+16+1)/16
=63/16
[Also equal to 3 15/16]
The graph of a linear function is shown on the grid.
Which equation is best represented by this graph?
answer is b) y = - 3/4 * x - 8,The reason for this is that the slope of the line is -3/4 (since it goes down by 3 units for every 4 units to the right), and it passes through the point (-6,-8).
what is slope?
In mathematics, the slope of a line is a measure of how steep it is. It is defined as the ratio of the change in the y-coordinates to the change in the x-coordinates between two points on the line.
In the given question,
Based on the information provided, the equation that represents the straight line passing through -8 on the y-axis and -6 on the x-axis would be:
b) y = - 3/4 * x - 8
The reason for this is that the slope of the line is -3/4 (since it goes down by 3 units for every 4 units to the right), and it passes through the point (-6,-8) which can be verified by substituting these values into the equation.
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Determine the number of times the graph of y = 5x² + 7x- 6 intersects the x-axis using two
different methods. The answers from each method should match.
Factoring
Quadratic Formula
Answer:
Method 1: Factoring
y = 5x² + 7x - 6
= 5x² + 10x - 3x - 6
= 5x(x + 2) - 3(x + 2)
= (5x - 3)(x + 2)
Method 2: Quadratic Formula
x = (-7 ± √(7² - 4 × 5 × -6)) / 2 × 5
= (-7 ± √(49 + 120)) / 10
= (-7 ± √169) / 10
= (-7 ± 13) / 10
x = 4/10 or x = -2
Simplify, we get:
x = 2/5 or x = -2
Therefore, the graph of y = 5x² + 7x - 6 intersects the x-axis at x = 2/5 and x = -2, so it intersects the x-axis twice.
geometry help please explain
Answer:
nin7
Step-by-step explanation:
5 times the sun of a number and 1
Answer:
5 ⋅ ( n + 1 )
Step-by-step explanation:
To write Five times the sum of a number and one you first make "a number" into a variable. In this case let's call it n
Next let's create the sum of a number and one. This would be:
n + 1
sum references addition
Then to get five times this number we need to multiple this expression by five to get: 5 ⋅ ( n + 1 )
One number is 9 more than twice another number. If the sum of the numbers is 129, find both numbers.
Answer:
40 and 89
Step-by-step explanation:
let x be the number then the other number is 2x + 9, then
x + 2x + 9 = 129, that is
3x + 9 = 129 ( subtract 9 from both sides )
3x = 120 ( divide both sides by 3 )
x = 40
Thus the numbers are
x = 40 and 2x + 9 = 2(40) + 9 = 80 + 9 = 89
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP ASAP
4/7+3/7 1/5.3/2-4/10
Answer:
3/10
Step-by-step explanation:
=4/7 + 9/70 - 4/10
=l.C.M of 7 , 70 and 10 =70
=4/7 .10/10 +9/70 -4/10 .7/7
=40/70 +9/70 -28/70
=40+9-28/70
=49-28/70
=21/70
=3/10
marcia has a total of 65 game pieces worth 89 points. each game piece is worth one or two points. how many one-point game pieces does she have?
By solving Simultaneous linear equation, it can be inferred that
Marcia has 41 one point game pieces
What is simultaneous linear equation?
At first it is important to know about linear equation
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A one degree equation is known as linear equation.
Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.
Here two simultaneous linear equations needs to be solved
Let the number of one point pieces be x and the number of two point pieces be y
Total number of pieces = 65
So, x + y = 65 ....... (1)
Now,
Total number of points = 89
x + 2y = 89 ..... (2)
Subtracting (2) from (1),
y = 24
Putting the value of y in (1),
x + 24 = 65
x = 65 - 24
x = 41
Marcia has 41 one point game pieces
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given x=8x=8, μ=22.3μ=22.3, and σ=3.9σ=3.9, indicate on the curve where the given x value would be.
Here, x value of 8 would be located on the left tail of the normal distribution curve, 3.67 standard deviations below the mean (μ=22.3) and with a very low value in terms of percentile or probability (0.015%).
To indicate where the given x value of 8 would be on the curve, we need to plot it on a normal distribution curve with a mean (μ) of 22.3 and a standard deviation (σ) of 3.9.
First, we need to convert the given x value of 8 into a z-score by using the formula: z = (x - μ) / σ
Plugging in the values, we get: z = (8 - 22.3) / 3.9 = -3.67
This means that the value of 8 is located 3.67 standard deviations below the mean.
Next, we need to find this point on the normal distribution curve. We can use a z-score table or a graphing calculator to find the corresponding area under the curve.
If we use a z-score table, we can look up the area to the left of -3.67, which is 0.00015. This means that only 0.015% of the data falls below this point.
To plot this on the curve, we can locate the mean (μ) and mark it as the center of the curve. Then, we can count 3.67 standard deviations to the left of the mean and mark this as the point where the value of 8 would be located.
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What is the equation written in vertex form of a parabola with a vertex of (–1, 8) that passes through (1, 0)?
Answer:
y = -2(x + 1)^2 + 8
Step-by-step explanation:
The equation of a parabola can be written in the form;
y = a(x-h)^2 + k
where a is the multiplier (h,k) is the vertex
so h = -1 and k = 8
Plug in these values
y = a(x + 1)^2 + 8
So to get the value of a, we use the point where the parabola passes through which is the point (1,0)
Simply substitute the values of x and y
0 = a(1 + 1)^2 + 8
0 = a(2)^2 + 8
-8 = 4a
a = -8/4
a = -2
So therefore the equation of the parabola is ;
y = -2(x + 1)^2 + 8
The required equation of parabola with given vertex and point of passing is \(y=-2(x+1)^{2}+8\).
Given data:
The vertex of parabola is, (-1, 8).
The vertex is passing through (1, 0).
We know that standard equation parabola is,
\(y=a(x-h)^{2}+k\)
Here, a is any multiplier, h and k are the vertices.
From the given problem,
h = -1
k = 8
So substituting the values as,
\(y=a(x-(-1))^{2}+8\\y=a(x+1)^{2}+8\)..............................................(1)
To obtain the value of a, we use the point where the parabola passes through which is the point (1,0). Here, x = 1 and y =0.
So,
\(0=a(1+1)^{2}+8\\\\a = -2\)
Substitute the value of a in equation (1) as,
\(y=(-2)(x+1)^{2}+8\\\\y=-2(x+1)^{2}+8\)
Thus, the required equation of parabola is \(y=-2(x+1)^{2}+8\).
learn more about the parabola here:
https://brainly.com/question/4074088
would this relationship best be described as proportional or non proportional? justify your answer
the relationship between the diameter of the pizza and its cost per square inch is non-proportional.
The relationship between the diameter of the pizza and its cost per square inch is non-proportional.
If the relationship were proportional, then the cost per square inch of the pizza would remain constant as the diameter changes. However, in this case, we see that as the diameter of the pizza increases, the cost per square inch decreases. This is because the area of a circle increases more rapidly than its diameter, so the cost must be spread out over a larger area, resulting in a lower cost per square inch.
Therefore, the relationship between the diameter of the pizza and its cost per square inch is non-proportional.
the complete question is :
would relationship between the dilation factor k and the resulting volume of a solid best be described as proportional or non proportional? justify your answer
learn more about diameter here
https://brainly.com/question/5501950
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Evaluate yz + x² x=3.2, y=6.1, z=0.2
Answer:
Step-by-step explanation:
To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:
yz + x²
Substituting the given values, we get:
(6.1 * 0.2) + (3.2^2)
This simplifies to:
1.22 + 10.24
Therefore, the value of the expression is approximately 11.46.
11.46
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