Answers
Answer:
D: -4<x<3
R: -2<y<4
Step-by-step explanation:
Answer:
#1) Domain: (-4,3) Range: (-2,4)
#2) Domain: (-∞,∞) Range: [-1,1]
Step-by-step explanation:
Related Questions
What is the average of M M 1 and M 2?.
Answers
The average of the set {M, M₁, M₂} is (M + M₁ + M₂)/3
How to find the average?Remember that if we have a set of elements, to find the average of said set we just need to add all the elements and then divide the sum by the number of elements.
Here we want to find the average of the set {M, M₁, M₂}
So we have 3 elements, the average will just be:
Average = (M + M₁ + M₂)/3
Learn more about average at:
https://brainly.com/question/20118982
#SPJ4
A frame designer is making a triangular frame. She has two sides of length 18 inches and 27 inches. What are the possible lengths for the third side?.
Answers
The possible lengths( in whole elevation) for the third side is
9 elevation< x< 45 elevation, i.e in between 9 and 45 elevation.
For the below question, we've a rule from the properties of triangle, the sum of the length of any two sides of the triangle must be lesser than the length of the third side.
Hence
She has two sides of length 18 elevation and 27 elevation
Let the third side = x
Hence
a) 18 27> x
45> x
b) 18 x> 27
x> 27- 18
x> 9
thus, the possible lengths( in whole elevation) for the third side is
elevation< x< 45 elevation
Learn more about properties of triangle here :
https://brainly.com/question/30166682
#SPJ4
The probability of getting a tail from an unfair coin is 3/5 what is the probability of getting a head?
Answers
HELP ASAP WHAT IS IT!!!
Answers
Answer:
A :)
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
1a. Explain why chess is not a static game of complete information?
Answers
Chess is not a static game of complete information for several reasons. Firstly, the game is dynamic, meaning that the position of the pieces on the board changes constantly throughout the game.
Unlike in games like Tic Tac Toe or Connect Four, the state of the game at any given point is not fixed, and there are a vast number of possible outcomes. This means that players cannot simply memorize the best moves and outcomes for every situation, as they would in a game of complete information.
Secondly, chess is a game of imperfect information, as both players do not know what moves their opponent will make. Even with a complete understanding of the game's rules, players cannot predict with certainty the moves of their opponent, and must instead make strategic decisions based on their best assessment of their opponent's likely choices.
Finally, chess is a game of hidden information, as players do not know what their opponent is thinking or planning. A player may be able to predict their opponent's next move, but cannot know for sure what their long-term strategy is, making it difficult to make optimal decisions.
Overall, chess is a highly dynamic and complex game that is not static or complete in terms of information. Players must make strategic decisions based on incomplete and uncertain information, making it a challenging and rewarding game for those who play it.
Chess is a strategic board game played between two players, with each player starting with 16 pieces on a 64-square board. The game has been around for centuries and is considered one of the most popular and complex games in the world.
Know more about "chess":-
https://brainly.com/question/9389753#
#SPJ11
I NEED HELPPP and explanation! (25 points)
The equation of line q is y=3x–2. Line r is perpendicular to line q and passes through (1,3). What is the equation of line r?
Answers
Answer:y=-1/3x+10/3
Step-by-step explanation:
If the line is perpendicular it means the slope is the negative reciprocal of the line. The slope of line r should be -1/3. Now the equation for line r is: y=-1/3x+b. We then can plug in values: 3=-1/3(1)+b=3=-1/3+b, b=10/3. The equation is: y=-1/3x+10/3.
Answer:
Step-by-step explanation:
y = 3x - 2
slope m1 = 3
Slope of line r = -1/m1 = -1/3
Equation of line in slope intercept form: y= mx +b
\(y=\dfrac{-1}{3}x+b\)
Plugin x = 1 and y= 3 in the above equation.
\(3=\dfrac{-1}{3}*1+b\\\\3= \dfrac{1}{3}+b\\\\\\3+\dfrac{1}{3}=b\\\\\dfrac{9}{3}+\dfrac{1}{3}=b\\\\\\b =\dfrac{10}{3}\)
Equation of line r :
\(y = \dfrac{-1}{3}x + \dfrac{10}{3}\)
A Simple Maximization Problem
Consider the following linear programming problem
a. List all the extreme points of the feasible region. b. Find the optimal solution and the objective function value.
c. List the values of all the slack variables.
a. (0,0),(5,0),(3.75,3.75),(3.5,4.5),(0,8); b. x=3.5,y=4.5,OFV=59.5;c.s1=0,s2=2,s3=0
a. (0,0),(5,0),(3.5,4.5),(0,8); b. x=3.5,y=4.5,OFV=59.5;c.s1=0,s2=2,s3=0.
a. (0,0),(5,0),(3.75,3.75),(6,4),(0,8); b. x=6,y=4,OFV=76;c1.s1=5,s2=0,s3=2.
a. (0,0),(5,0),(8,0),(3.5,4.5),(0,8); b. x=8,y=0,OFV=64;c.s1=45,s2=20,s3=0.
a. (0,0),(5,0),(3.75,3.75),(4,6),(0,8); b. x=4,y=6, OFV =74;c1.s1=0,s2=0, s3=2.
a. (0,0),(5,0),(8,0),(3.5,4.5),(0,8),(0,10); b. x=0,y=10,OFV=70;c.s1=25,s2=0,s3=2
a. (0,0),(3,0),(3.75,3.75),(3,5),(0,4); b. x=3,y=5, OFV =59;c1.s1=5,s2=0,s3=0
a. (0,0),(5,0),(3.75, 3.75),(3.5),(0,8); b. x=3, y=5, OFV=59; c1.s1=5, s2=0, s3=0
Answers
a. (0,0), (5,0), (3.75, 3.75), (3.5,4.5), (0,8);
b. x = 3.5, y = 4.5, OFV = 59.5;
c. s1 = 0, s2 = 2, s3 = 0.
a. The extreme points of the feasible region are the vertices of the polygon formed by the intersection of the constraint lines. In this case, the extreme points are (0,0), (5,0), (3.75, 3.75), (3.5,4.5), and (0,8).
b. To find the optimal solution and the objective function value, we evaluate the objective function at each extreme point and choose the point that maximizes the objective function. In this case, the point (3.5, 4.5) maximizes the objective function with a value of 59.5. Therefore, the optimal solution is x = 3.5 and y = 4.5, and the objective function value is 59.5.
c. The slack variables represent the surplus or slack in each constraint. We calculate the slack variables by subtracting the actual value of the left-hand side of each constraint from the right-hand side. In this case, the values of the slack variables are s1 = 0 (indicating no slack in the first constraint), s2 = 2 (indicating a surplus of 2 in the second constraint), and s3 = 0 (indicating no slack in the third constraint).
Therefore, the correct option is:
a. (0,0), (5,0), (3.75, 3.75), (3.5,4.5), (0,8);
b. x = 3.5, y = 4.5, OFV = 59.5;
c. s1 = 0, s2 = 2, s3 = 0.
Learn more about polygon from
https://brainly.com/question/26583264
#SPJ11
a postal worker counts the number of complaint letters received by the united states postal service in a given day. identify the type of data collected.
Answers
When a postal worker counts the number of complaint letters received by the united states postal service in a given day, the type of data collected is quantitative.
How to explain the dataQuantitative data is data that can be measured and expressed in numbers. In this case, the number of complaint letters received by the United States Postal Service in a given day can be measured and expressed as a number.
Qualitative data, on the other hand, is data that cannot be measured or expressed in numbers. For example, the contents of the complaint letters would be qualitative data.
Learn more about data on
https://brainly.com/question/26711803
#SPJ1
public class BinarySearch \{ public static void main(Stringll args) f int [1]yl ist ={1,2,3,7,10,12,20}; int result = binarysearch ( inylist, 20); if (result =−1 ) System, out, println("Not found:"); else System.out.println("The index of the input key is " + result+ ". "): y public static int binarysearch(int]l List, int key) \{ int low =0; int high = iist. length −1 while (high >= low) \& int mid =( low + high )/2; if (key < List [mid] high = mid −1; else if (key =1 ist [ mid ] ) return inid; else low = mid +1; return −1; // Not found \} l TASK 4: Binary Search in descending order We have learned and practiced the implementation of the binary search approach that works on an array in ascending order. Now let's think about how to modify the above code to make it work on an array in descending order. Name your new binary search method as "binarysearch2". Implement your own code in Eclipse, and ensure it runs without errors. Submit your source code file (.java file) and your console output screenshot. Hint: In the ascending order case, our logic is as follows: int mid =( low + high )/2 if ( key < list [mid] ) else if (key = ist [mid]) return mid; In the descending order case; what should our logic be like? (Swap two lines in the above code.)
Answers
The task involves modifying the given code to implement binary search on an array in descending order. The logic of the code needs to be adjusted accordingly.
The task requires modifying the existing code to perform binary search on an array sorted in descending order. In the original code, the logic for the ascending order was based on comparing the key with the middle element of the list. However, in the descending order case, we need to adjust the logic.
To implement binary search on a descending array, we need to swap the order of the conditions in the code. Instead of checking if the key is less than the middle element, we need to check if the key is greater than the middle element. Similarly, the condition for equality also needs to be adjusted.
The modified code for binary search in descending order would look like this:
public static int binarysearch2(int[] list, int key) {
int low = 0;
int high = list.length - 1;
while (high >= low) {
int mid = (low + high) / 2;
if (key > list[mid])
high = mid - 1;
else if (key < list[mid])
low = mid + 1;
else
return mid;
}
return -1; // Not found
}
By swapping the conditions, we ensure that the algorithm correctly searches for the key in a descending ordered array.
For more information on array visit: brainly.com/question/30891254
#SPJ11
On a coordinate plane, a curved line crosses the x-axis at (negative 1, 0), and crosses the y-axis at (0, negative 3). What are the intercepts of the graphed function? x-intercept = (–1, 0) a y-intercept = (–3, 0) b x-intercept = (0, –1) c y-intercept = (0, –3) d x-intercept = (0, –1) e y-intercept = (–3, 0) f x-intercept = (–1, 0) g y-intercept = (0, –3)
Answers
Answer:
the x-intercept is -1 the y-intercept is-3
so the answer is (-1,0) (0,-3)
The intercepts of the graphed function on a coordinate plane are
x-intercept = (–1, 0) , y-intercept = (0, –3).
What is intercept?" Intercept is defined as the point where curve passes through the axis in the coordinate plane. For y- intercept x = 0 and for x- intercept y=0."
According to the question,
Given,
In the coordinate plane,
Curved line crosses the x-axis at ( -1,0)
Curved line crosses the y-axis at ( 0,-3)
when x= 0 , y = -3
Therefore, y-intercept is at (0,-3).
When y =0 , x = -1
therefore x- intercept is at (-1,0)
Hence, Option(D) is the correct answer.
Learn more about intercept here
https://brainly.com/question/14180189
#SPJ3
Together a refrigerator and a desk cost $216. Find the price of each if the refrigerator costs three times as much as the desk
Answers
Refrigerator 162$ and desk cost 54
Step-by-step explanation:
Cost of refrigerator and desk =$2163x+x=2164x=216x=216/4x=54now, Cost of refrigerator = 3x = 3*54 = 1623 − 3k + 7k = 5b find the equation for k
Answers
Answer:k=5b/4 - 3/4
Step-by-step explanation:
Answer:
\(k=\frac{5}{4}b - \frac{3}{4}\)
Step-by-step explanation:
-3k + 7k = 5b - 3
4k = 5b - 3
\(k=\frac{5}{4}b - \frac{3}{4}\)
An episode of a television show is 60 minutes long when it originally airs with commercials. On a DVD without commercials, the episode is only 41 1/2 minutes long. How many 1/2 minute commercials did the episode include when it originally aired? Enter and solve an equation to justify your answer.The equation blank + Blankc = blank models the problem, where c is the number of commercials. The episode included blank 1/2 commercials.
Answers
The episode with commercials consists of 60 minutes, and without those, it consists of 41.5minutes; therefore, 60-41.5=18.5 minutes are only commercials when the episode airs.
Divide those 18.5minutes into intervals of 0.5 minutes by calculating
\(\frac{18.5}{0.5}=37\)Therefore, the equation is
\(\begin{gathered} 41.5+0.5c=60 \\ \end{gathered}\)Solving for c,
\(\Rightarrow c=\frac{18.5}{0.5}=37\)Then, the episode included 37 1/2-minute commercials.
For his school's science fair, Brad made a bottle rocket powered by the pressure of the carbonated soda in the bottle. He launches the rocket, and it runs out of soda at a height of 9 meters. At that moment, the rocket is moving upward with a velocity of 7 meters per second. It continues to travel upward before falling to the ground.
To the nearest tenth of a second, how long does it take the rocket to hit the ground after running out of soda?
Hint: Use the formula h=
–
4.9t2+vt+s.
Answers
Answer:
1 second and 20 milliseconds
Step-by-step explanation:
9-7= 1 and 2/10
Hoped this helped! =) have a good day :D
PLEASE HELP ME WITH THIS I NEED IT...
Answers
9. D X=16, Y=10
10. D X=7
Answer:
8.) c
9.) d
10.) d
Step-by-step explanation:
8.) These are same side interior angles so they have a different measures that equal up to 180.
75 + 4x - 9 = 180 (collect like terms)
4x + 66 = 180 (subtract 66 on both sides)
4x = 114 (divide by 4 on both sides)
x = 28.5
9.) 8x -14 and 5x + 34 are alternate exterior angles so the equal the same measure.
8x - 14 = 5x + 34 (add 14 on both sides)
8x = 5x + 48 (subtract 5x on both sides)
3x = 48 (divide by 3 on both sides)
x = 16 NOW PLUG IN TO 8x - 14 to find y
8(16) - 14 + 5y + 16 = 180 (distribute and collect like terms)
130 + 5y = 180 (subtract 130 on both sides)
5y = 50 (divide by 5 on both sides)
y = 10
10.) They have the same measure they are alternate exterior angles
16x + 22 = 134 (subtract 22 on both sides)
16x = 112 (divide by 16 on both sides)
x = 7
Hope this helps ya!!
This cylinder has a volume of 12π cubic inches and a diameter of 4 inches
Answers
The height of the cylinder is 3 inches if the cylinder has a volume of 12π cubic inches and a diameter of 4 inches.
What is a cylinder?In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
\(\rm V = \pi r^2 h\)
We have:
Volume of the cylinder = 12π cubic inches
Dimeter of the cylinder = 4 inches
Radius of the cylinder = 2 inches
Here no other information is given in the question, Let suppose it is required to find the height of the cylinder
12π = π(2)²h
12 = 4h
h = 3 inches
Thus, the height of the cylinder is 3 inches if the cylinder has a volume of 12π cubic inches and a diameter of 4 inches.
Learn more about the cylinder here:
brainly.com/question/3216899
#SPJ4
what is the approximate average rate at which the area decreases, as the rectangle's length goes from 13\text{ cm}13 cm13, start text, space, c, m, end text to 16\text{ cm}16 cm16, start text, space, c, m, end text?
Answers
The approximate average rate at which the area decreases as the rectangle's length goes from 13 cm to 16 cm is equal to the width (w) of the rectangle.
To determine the approximate average rate at which the area decreases as the rectangle's length goes from 13 cm to 16 cm, we need to calculate the change in area and divide it by the change in length.
Let's denote the length of the rectangle as L (in cm) and the corresponding area as A (in square cm).
Given that the initial length is 13 cm and the final length is 16 cm, we can calculate the change in length as follows:
Change in length = Final length - Initial length
= 16 cm - 13 cm
= 3 cm
Now, let's consider the formula for the area of a rectangle:
A = Length × Width
Since we are interested in the rate at which the area decreases, we can consider the width as a constant. Let's assume the width is w cm.
The initial area (A1) when the length is 13 cm is:
A1 = 13 cm × w
Similarly, the final area (A2) when the length is 16 cm is:
A2 = 16 cm × w
The change in area can be calculated as:
Change in area = A2 - A1
= (16 cm × w) - (13 cm × w)
= 3 cm × w
Finally, to find the approximate average rate at which the area decreases, we divide the change in area by the change in length:
Average rate of area decrease = Change in area / Change in length
= (3 cm × w) / 3 cm
= w
Therefore, the approximate average rate at which the area decreases as the rectangle's length goes from 13 cm to 16 cm is equal to the width (w) of the rectangle.
learn more about rectangle here
https://brainly.com/question/15019502
#SPJ11
Use algebra tiles to show the expressions are equivalent.
1) y + 10y and 11y
2) -2(x + 8) and -2x + (-16)
3) x + 2(y - 5x) and 2y - 9x
Answers
Hey you man what are you doing here go to there
Determine the equation of the line that passes through (-8,9) and (2,-6)
Express you answer as a fraction in lowest terms.
Answers
The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.
We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.
Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.
Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.
The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.
Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.
Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.
For more question on equation
https://brainly.com/question/17145398
#SPJ8
notación exponencial de 2.500.000
Answers
Answer:
bjfdkkdkdkdieiekwkwkwkekkedlllldkd
Simplify the two expressions:a.(-20632b.(-263)3Compare the solutions of both expressions. In the form of a paragraph, explain what affect an even exponent has on anegative number and what affect an odd exponent has on a negative number. Include the final answer in yourexplanation. Complete your work in the space provided or upload a file that can display math symbols if your workrequires it.
Answers
Simplify the expression;
\(\begin{gathered} (a) \\ (-2a^4b^3)^2 \\ \end{gathered}\)We shall apply the rule of exponent which is;
\(\begin{gathered} (-a)^n=a^n \\ \text{If n is an even number} \end{gathered}\)We now have;
\((-2a^4b^3)^2=(2a^4b^3)^2\)Next we shall apply the rule which is;
\((ab)^n=a^n\times b^n=a^nb^n\)We now have the expression as;
\(\begin{gathered} (2a^4b^3)^2 \\ =2^2\times(a^4)^2\times(b^3)^2^{} \\ =4\times a^8\times b^6 \\ =4a^8b^6 \end{gathered}\)For the (b) part;
\(\begin{gathered} (b) \\ (-2a^4b^3)^3 \end{gathered}\)We shall apply the exponent rule;
\(\begin{gathered} (-a)^n=-a^n \\ \text{If n is an odd number} \end{gathered}\)Our expression now becomes;
\(\begin{gathered} (-2a^4b^3)^3 \\ =(-2a^4b^3)^3 \end{gathered}\)We shall also apply the second rule as stated earlier and we'll have;
\(\begin{gathered} -2^3\times(a^4)^3\times(b^3)^3 \\ =-8\times a^{12}\times b^9 \\ =-8a^{12}b^9 \end{gathered}\)EXPLANATION:
An even exponent makes a negative number even as we have seen from our calculations. This is because the product of two negative numbers is positive, whereas an odd exponent makes a negative number odd because the product of three negative numbers like we saw in our calculation would be negative.
ANSWER:
\(\begin{gathered} (a)4a^8b^6 \\ (b)-8a^{12}b^9 \end{gathered}\)Help!
Line s has an equation of y= -7/10x-1. Line t, which is parallel to line s, includes the point (-6,5). What is the equation of line t?
Answers
Answer:
\(y = -\frac{7}{10}x + \frac{4}{5}\)
Step-by-step explanation:
Parallel lines have the same slope.
Given that line s is represented by the linear equation, \(y = -\frac{7}{10}x - 1\), then line t must have the same slope of \(-\frac{7}{10}\).
All we have to do at this point is use line t's slope, m = \(-\frac{7}{10}\), and the given point, (-6, 5), to solve for the y-intercept, b:
y = mx + b
\(5 = -\frac{7}{10}(-6) + b\)
\(5 = \frac{42}{10} + b\)
\(5 = \frac{21}{5} + b\)
Subtract \(\frac{21}{5}\) from both sides:
\(5 - \frac{21}{5} = \frac{21}{5} - \frac{21}{5} + b\)
\(\frac{4}{5}\) = b
Therefore, the equation of line t that is parallel to line s is: \(y = -\frac{7}{10}x + \frac{4}{5}\).
State whether the following is a solution of x ≥ -4.1? Write only YES or NO.
1. -5
2. -4.1
3. 8
4. 0
Answers
Answer:
1. NO
2. YES
3. YES
4. YES
Step-by-step explanation:
Plot these on a number line to see visually.
Answer:
1. No
2. Yes
3. Yes
4. Yes
Step-by-step explanation:
Given inequality :
x ≥ -4.1
1.
\(\ -5\Large \ \ \text{\bf{(NO)}}\)
Reason: 5 > 4.1 ⇒ -5 < -4.1
2.
\(\ -4.1\Large \ \ \text{\bf{(Yes)}}\)
Reason : -4.1 = -4.1 ⇒ -4.1 ≥ -4.1
3.
\(\ 8\Large \ \ \text{\bf{(Yes)}}\)
Reason : 8 is positive and -4.1 is negative ⇒ 8 ≥ -4.1
4.
\(\ 0\Large \ \ \text{\bf{(Yes)}}\)
Reason : -4.1 is negative and 0 is greater than any negative number ⇒ 0 ≥ -4.1
The probability of not spinning a 5 and flipping heads and the spinner has 5 outcomes
Answers
Answer:
So the odds of flipping a coin 5 times and getting 5 heads are 1/2 ^5 (half to the power of 5). Which gives us 1/32 or just over a 3% chance.
Step-by-step explanation:
Find the midpoint between (31, 7) and (–17, 19).
(7, 13)
(14, 26)
(19, 1)
(24, –6)
Answers
Answer:
It's (7, 13) not sure how to explain that
Nicole is buying dog nuts for the bus ride to cheer competition. Plain glazed donuts are $4 per box and chocolate cake donuts cost $5 per box. She spends a total of $91 for 20 boxes. How many boxes of each kind of donut did she buy?
Answers
Answer: We can start solving this problem by using a system of equations. Let x be the number of plain glazed donuts Nicole buys, and y be the number of chocolate cake donuts she buys. We know that:
x + y = 20 (The total number of boxes of donuts she buys is 20)
4x + 5y = 91 (The total amount of money she spends is $91)
We can use the first equation to solve for one variable in terms of the other. For example, we can substitute x = 20 - y into the second equation:
4(20 - y) + 5y = 91
80 - 4y + 5y = 91
-4y + 5y = 91 - 80
y = 11
So Nicole bought 11 boxes of chocolate cake donuts. We can substitute that back into the first equation to find the number of plain glazed donuts she bought:
x + 11 = 20
x = 9
So Nicole bought 9 boxes of plain glazed donuts.
We can check our answer by substituting our values of x and y back into the original equations:
x + y = 9 + 11 = 20 (This is the total number of boxes of donuts she bought, which is 20)
4x + 5y = 4(9) + 5(11) = 91 (This is the total amount of money she spent, which is $91)
Both equations are true, so our solution is correct.
Step-by-step explanation:
x2+nx -mx-nm = 0
Plzzzzzzzzzzzzzzzz help me
Answers
Answer:
I don’t know
Step-by-step explanation:
simplify 9√3 - 4√3
anyone wanna help me?
Answers
Answer:
5
Step-by-step explanation:
Answer:
\(5\sqrt{3}\)
Step-by-step explanation:
Hope this helps
D Calculate the value of the error with one decimal place for: Z= # where x = 5.9 +/-0.5 and y = 2.1 +/- 0.2 Please enter the answer without +/- sign. 4 Question 2 Calculate the value of the error wit
Answers
The value of the error for Z, where x = 5.9 +/- 0.5 and y = 2.1 +/- 0.2, with one decimal place is 4.
To calculate the error in Z, we need to consider the uncertainties in both x and y. The error in Z can be determined by propagating the uncertainties using the formula for error propagation.
In this case, Z is given by the equation Z = x/y. To propagate the uncertainties, we use the formula for relative error:
ΔZ/Z = sqrt((Δx/x)^2 + (Δy/y)^2)
Given the uncertainties Δx = 0.5 and Δy = 0.2, and the values x = 5.9 and y = 2.1, we substitute these values into the formula:
ΔZ/Z = sqrt((0.5/5.9)^2 + (0.2/2.1)^2) = sqrt(0.0089 + 0.0181) ≈ 0.134
Multiplying this value by 100 to convert it to a percentage, we get approximately 13.4%. Rounding to one decimal place, the value of the error is 4.
Therefore, the value of the error for Z, with one decimal place, is 4.
to learn more about value click here
brainly.com/question/30760879
#SPJ11
the number of weeds in your garden grows exponential at a rate of 15% a day. if there were initially 4 weeds in the garden, approximately how many weeds will there be after two weeks?
Answers
Answer:
28
Step-by-step explanation: