The value of | a b c 7d + a 7e + b 7f + c g h i| is given by -35 + b(ch - di) + c(gi - eh) + a(hk - fg).
Expanding the determinant using the first row, we get:
| a b c 7d + a 7e + b 7f + c g h i|
= a | b c 7d + 7e b 7f + g h i| - b |a c 7d + 7e c 7f + g h i| + c |a b 7d + 7e 7f + g h i|
= a | b c 7d + 7e b 7f + g h i| + b |a c 7d + 7e c 7f + g h i| - c |a b 7d + 7e 7f + g h i|
Now, we can expand each of the three determinants on the right-hand side using the first row and simplify:
| b c 7d + 7e b 7f + g h i| = b | c 7f h i| - 7e |b 7f h i| + g |b c h i|
= -7e b |7f h i| + g |b c h i| - h |b c 7f i| + i |b c 7f h|
= -7e bi + gh - bhf + chi
|a c 7d + 7e c 7f + g h i| = a |c 7f h i| - 7e |c 7d h i| + g |c 7d 7f i|
= 7e ac - gci + chd - ahf
|a b 7d + 7e 7f + g h i| = a |b 7f h i| - 7e |b 7d h i| + g |b 7d 7f i|
= -7e ab + ghi - bgd + aef
Substituting these expressions back into the expanded determinant and simplifying, we get:
| a b c 7d + a 7e + b 7f + c g h i|
= a(-7e bi + gh - bhf + chi) + b(7e ac - gci + chd - ahf) + c(-7e ab + ghi - bgd + aef)
= -7abe - 7bdf - 7cfg + 7aef + bch + cgi + ahk - ceh - afg - bdi
= -7(abe + bdf + cfg - aef) + (bch + cgi + ahk - ceh - afg - bdi)
Since |a b c d e f g h i| = 5, we have:
abe + bdf + cfg - aef = 5
Therefore, we can simplify the expression further:
| a b c 7d + a 7e + b 7f + c g h i|
= -7(5) + (bch + cgi + ahk - ceh - afg - bdi)
= -35 + b(ch - di) + c(gi - eh) + a(hk - fg)
Hence, the value of | a b c 7d + a 7e + b 7f + c g h i| is given by -35 + b(ch - di) + c(gi - eh) + a(hk - fg).
Learn more about determinant
https://brainly.com/question/14083225
#SPJ4
The simplified expression for | a b c 7d + a 7e + b 7f + c g h i| is 7| a b c d g h i| + 7| a b c e g h i| - 35.
First, factor out the 7 from the second row:
| a b c 7(d + e + f) g h i| = 7| a b c d + e + f g h i|
Expand the second row using the property of determinants that allows us to break up a row sum:
7(| a b c d g h i| + | a b c e g h i| + | a b c f g h i|)
Now, use the property of determinants that allows us to switch rows and multiply by -1:
7(| a b c d g h i| + | a b c e g h i| - | d e f a b c g h i|)
Recognize that the third determinant is equivalent to the given determinant, but with rows 1 and 3 switched, which
gives us:
7(| a b c d g h i| + | a b c e g h i| - 5)
Finally, multiply 7 by the expression inside the parentheses:
7| a b c d g h i| + 7| a b c e g h i| - 35
So, the simplified expression for | a b c 7d + a 7e + b 7f + c g h i| is 7| a b c d g h i| + 7| a b c e g h i| - 35.
for such more question on expression
https://brainly.com/question/1859113
#SPJ11
Solve the following equation in natural numbers: x^2-y^2=303
Pls Answer! I will give whoever get's it right more points!
The solution in natural numbers for the equation is x = 100 and y = 1.
What is natural number?The positive integers 1, 2, 3, 4, 5,... are known as "natural numbers." N stands for the set of natural numbers. Natural numbers are the building blocks of mathematical operations including addition, subtraction, multiplication, and division. They are also used to count objects. They make up a portion of the set of whole numbers, which also contains the natural numbers and 0 as well. There is no biggest natural number since the collection of natural numbers is endless and unbounded.
To determine the solution of the equation we use the difference of square identity given as:
(x + y)(x - y).
Now, for the given function we have:
(x - y)(x + y = 303
The two factors of 303 are 101 and 99.
Thus,
x + y = 101
x - y = 99
Adding the two equations we have:
2x = 200
x = 100
Now, for x = 100 the value of y is:
100 - y = 99
y = 1
Hence, the solution in natural numbers is x = 100 and y = 1.
Learn more about natural numbers here:
https://brainly.com/question/17429689
#SPJ1
a survey of a random sample of 1280 students loan borrowers found that 448 had loans totaling more than $20,000 for their undergraduate education. construct a 95% confidence interval to estimate the population proportion of student load borrowers who have loans totaling more than $20,000.
The 95% confidence interval for the population proportion of student loan borrowers with loans totaling more than $20,000 is approximately (0.3235, 0.3765).
To construct a 95% confidence interval for the population proportion of student loan borrowers with loans totaling more than $20,000, we need to calculate the sample proportion, standard error, and critical value.
1. Sample proportion (p) = Number of students with loans over $20,000 / Total sample size
p = 448 / 1280 ≈ 0.35
2. Standard error (SE) = √(p * (1 - p) / n)
SE ≈ √(0.35 * (1 - 0.35) / 1280) ≈ 0.0135
3. For a 95% confidence interval, we use a critical value (z) of 1.96.
Margin of error (ME) = z * SE
ME ≈ 1.96 * 0.0135 ≈ 0.0265
4. Calculate the confidence interval:
Lower limit = p - ME ≈ 0.35 - 0.0265 ≈ 0.3235
Upper limit = p + ME ≈ 0.35 + 0.0265 ≈ 0.3765
Know more about borrowers here:
https://brainly.com/question/25599836
#SPJ11
1. 76x8. 2. 84x9
3. 68x4
4. 32x6 PART 1
5. 59x7
6. 74x8
7. 68x8
8. 95x9
9. 84x5
10. 22x4
11. 48x5
12. 84x8
13. 76x9
14. 89x9
15. 63x5
16. 32x9
17. 63x8
18. 79x9
19. 78x5
20. 49x4
21. 94x6
The arithmetic sequence is 49 x 4 = 196, 94 x 6 = 564.
What is arithmetic sequence?
An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.
1. 76 x 8 = 608
2. 84 x 9 = 756
3. 68 x 4 = 272
4. 32 x 6 = 192
PART 2
5. 59 x 7 = 413
6. 74 x 8 = 592
7. 68 x 8 = 544
8. 95 x 9 = 855
9. 84 x 5 = 420
10. 22 x 4 = 88
11. 48 x 5 = 240
12. 84 x 8 = 672
13. 76 x 9 = 684
14. 89 x 9 = 801
15. 63 x 5 = 315
16. 32 x 9 = 288
17. 63 x 8 = 504
18. 79 x 9 = 711
19. 78 x 5 = 390
20. 49 x 4 = 196
21. 94 x 6 = 564
Therefore, The arithmetic sequence is 49 x 4 = 196, 94 x 6 = 564
To learn more about arithmetic sequence from the given link:
https://brainly.com/question/15412619
#SPJ4
Tina bicycles for 2 hours at a constant speed, takes a break for 1 hour, and then continues to bicycle in the same direction for another
2 hours at the same speed she traveled previously. Which graph shows the total distance, d, in miles, Tina bicycles over t hours ?
Answer:
Step-by-step explanation:
To solve this problem, we can use the formula:
distance = rate x time
Since Tina bicycles at a constant speed, we can simplify the formula to:
distance = speed x time
For the first 2 hours, Tina bicycles at a constant speed, so the distance she travels is:
distance = speed x time = s x 2
After taking a 1-hour break, Tina continues to bicycle at the same speed for another 2 hours, so the distance she travels is:
distance = speed x time = s x 2
Therefore, the total distance Tina travels over the 5-hour period is:
total distance = 2s + 2s = 4s
This means that the total distance Tina bicycles is directly proportional to the speed at which she travels. In other words, if Tina travels twice as fast, she will cover twice the distance in the same amount of time.
With this in mind, we can eliminate choices (A) and (B), which show linear relationships between distance and time. Since Tina is traveling at a constant speed, the graph of her distance should be a straight line with a positive slope.
Choice (C) shows a straight line with a positive slope, but the slope is too steep. This graph would indicate that Tina is traveling at a much faster speed than she actually is.
Choice (D) shows a straight line with a positive slope that is not as steep as (C). This graph accurately represents Tina's constant speed and shows the increase in distance after the break. Therefore, the correct graph is (D).
Example
It took Markus half an hour to drive home from work. He averaged 34 miles per hour. How far does Markus live from his work?
Solution
We are given that it takes 1/2 an hour for the trip. This is a time:
t = 1/2
We are given that he averages 34 miles per hour. This is a rate:
r = 34
We are asked how few he has traveled. This is a distance. We use the d=rt equation:
d = rt
= (34)(1/2)
= 17
Markus lives 17 miles from work.
1. ) Any measure representing the center of a set of data arranged in a decreasing or increasing order of magnitude.
2. ) Commonly referred to as the average of all values.
3. ) Middle value in the set of data arranged in increasing or decreasing order.
4. ) Contains two modes.
5. ) Most frequently occurring score.
pls answer my grade dropped to 75 last grading pls answer correctly
The match of the given defines are any measure representing the center of a set of data arranged in a decreasing or increasing order of magnitude is Measure of central tendency, Commonly referred to as the average of all values is Mean, Middle value in the set of data arranged in increasing or decreasing order is Median, Contains two modes is Bimodal, Most frequently occurring score is Mode.
The identified match from the box to the given defines are the mean is the sum of all values divided by the total number of values. The median is the middle value when data is arranged in order.
The mode is the value that appears most frequently in a set of data. Bimodal refers to a distribution that has two modes. Finally, measure of central tendency refers to any method used to represent the center of a set of data.
To know more about mean:
https://brainly.com/question/31101410
#SPJ4
--The given question is incomplete, the complete question is given
" identify the following defines. and choose from below box:
mean, mode, median, measure of central tendency, bimodal
1. ) Any measure representing the center of a set of data arranged in a decreasing or increasing order of magnitude.
2. ) Commonly referred to as the average of all values.
3. ) Middle value in the set of data arranged in increasing or decreasing order.
4. ) Contains two modes.
5. ) Most frequently occurring score.
pls answer my grade dropped to 75 last grading pls answer correctly"--
WILL MARK BRAINLIEST!!
A number pattern is shown below.
Please create an equation for the pattern, and find what the difference between the last number in row 6 and the first number in row 6 is. Show or explain your work.
The last number in row 6 is 58. The difference between the last number in row 6 and the first number in row 6 is 10
How to solveTo find the equation for the pattern, let's first observe the pattern in the given rows:
Row 2: 8 10 (difference = 2)Row 3: 15 17 19 (difference = 2)Row 4: 24 26 28 30 (difference = 2)Row 5: 35 37 39 41 43 (difference = 2)We notice that the difference between the consecutive numbers in each row is 2.
Now let's observe the first number in each row:
Row 2: 8 (24)Row 3: 15 (35)Row 4: 24 (46)Row 5: 35 (57)It seems that the first number in each row can be calculated by multiplying the row number by (row number + 2). So, for row 6, the first number would be:
6 * (6 + 2) = 6 * 8 = 48
Now let's calculate the remaining numbers in row 6:
Row 6: 48 50 52 54 56 58 (difference = 2)
The last number in row 6 is 58. The difference between the last number in row 6 and the first number in row 6 is:
58 - 48 = 10
Read more about equations here:
https://brainly.com/question/22688504
#SPJ1
DUE FRIDAY PLEASE HELP WELL WRITTEN ANSWERS ONLY!!!!
Use the following information to answer questions 2 and 3.
Suppose Kiran has a group of 50 people that he is going to study in an experimental study and he needs them to sign a form to participate. He creates two groups of 25 people. The first group consists of the first 25 people who turned in the signed form. The second group consists of the other 25 people who signed the form.
2. Are there any potential problems with Kiran's study? Explain your reasoning.
3. Why is it important to randomly assign people to groups in an experimental study?
Answer:
2. Yes, there are potential problems with Kiran's study. The first group consists of the first 25 people who turned in the signed form. This means that the first group may not be representative of the entire population of 50 people. For example, if the first 25 people who turned in the signed form are all from a particular demographic group, then the results of the study may not be generalizable to the entire population.
3. It is important to randomly assign people to groups in an experimental study because it helps ensure that the groups are similar in all respects except for the studied variable. This helps reduce the impact of confounding variables and increases the study's internal validity. Random assignment also helps to ensure that any differences between the groups are due to chance rather than systematic differences between the groups.
Step-by-step explanation:
Answer:
2. Yes, Kiran's study does have possible flaws, indeed. The first 25 people who submitted the signed form are in the first group. This indicates that the first group might not be typical of the total 50-person population. The study's findings might not apply to the entire population, for instance, if the first 25 persons to submit a signed form are all from the same demographic group.
3. In this experimental study, it's crucial to divide participants into groups at random since it helps to ensure that the groups are comparable in all regards outside the studied variable. This raises the study's internal validity and lessens the effect of confounding variables. Also, random assignment makes sure that any discrepancies between the groups are the result of chance, rather than deliberate divisions.
Below is the table of values of a function. Write the output when the input is n.
input
output
3
7
8
n
output
6
14
16
*blank*
Answer:
input output
3 7
8 16
n blank
Step-by-step explanation:
we can see that the function's output is twice the input plus one. Therefore, when the input is 6, the output will be 2 * 6 + 1 = 13. When the input is 14, the output will be 2 * 14 + 1 = 29. However, since the output for the input value "n" is not given in the table, we cannot determine the output for that input.
I hope it helps you
A scatter plot displays _____ on a graph that shows the relation between two variables.
A scatter plot is a graphical representation of a set of data points that displays the relationship between two variables.
How to solve the question?
The plot uses a Cartesian coordinate system, with one variable plotted on the x-axis and the other on the y-axis. Each data point is represented by a dot, with its location on the plot determined by its values for the two variables. The pattern of the dots on the plot gives insight into the relationship between the two variables.
Scatter plots are useful for visualizing the strength and direction of a relationship between two variables. A positive relationship between the variables means that as one variable increases, the other variable also increases. In contrast, a negative relationship means that as one variable increases, the other variable decreases. A scatter plot can also help to identify any outliers or unusual data points.
Scatter plots can be used to analyze many types of data, including scientific data, financial data, and social data. They can be used to identify trends, correlations, and patterns that might not be immediately apparent from a simple numerical analysis of the data. Scatter plots are a valuable tool for data analysis and visualization, and are widely used in scientific research, data analysis, and data-driven decision making.
To know more about graph visit :-
https://brainly.com/question/19040584
#SPJ1
What is 143,246 rounded to the 3rd significant figure?
Rename the fraction as a decimal and a percent 3/25
Answer:
it is 12 percent
Step-by-step explanation:
your welcome
how do i solve this please help
The percentage of Container B that is full after the pumping is complete is 77.2%.
How to find the percentage ?To find the percentage of Container B that is full after the water from Container A is pumped into it, we first need to find the volume of both containers.
The volume V of a cylinder can be calculated using the formula:
V = πr²h
Volume of Container A (V A) = π x (10^2) x 20 = 2000π cubic feet
Volume of Container B (V B) = π x (12^2) x 18 = 2592π cubic feet
Percentage = (V A / V B) x 100
Percentage = (2000π / 2592π) x 100
Percentage = (2000 / 2592) x 100 = 77.1604938
To the nearest tenth, the percent of Container B that is full after the pumping is complete is approximately 77.2%.
Find out more on percentages at https://brainly.com/question/12425898
#SPJ1
Find the value of X. If a segment looks like a tangent, it is a tangent
Using the laws of outside angle, we can find the value of the angle x° to be = 77°.
Define outside angle theorem?The measure of an exterior angle is equal to the sum of the measures of the two distant interior angles of the triangle, according to the external angle theorem. According to the exterior angle inequality theorem, any triangle's outside angle has a measure bigger than either of its opposing interior angles.
Here in the question,
The measure of the 2 arcs is given as 85° and 172°.
The measure of the 3rd arc that is subtended by the tangents is:
360° - 85° - 172°
= 103°
As per the outside angle theorem,
x° = 180° - 103°
= 77°
To know more about outside angle theorem, visit:
brainly.com/question/31507659
#SPJ1
URGENT, PLEASE HELP, I'M WILLING TO GIVE 20+ POINTSS
Answer:
for the following question the answer will be
1/5=0.2 given as example
60%=0.6
50%=1/2
3/4=0.75
for 1/6 there os no answer for it the answer is 0.166
Please help this is due today
Using multiplication we know that after 141 min there will be 400,000 bacteria present.
What is multiplication?One of the four fundamental arithmetic operations, along with addition, subtraction, and division, is multiplication.
A product is the output of a multiplication operation.
When you take a single number and multiply it by several, you are multiplying.
A 5 multiplied by 4 results in 20 (5 + 5 + 5 + 5).
We multiplied the number five by four times.
Multiplication is commonly referred to as "times" because of this.
So, in the given situation:
At the initial stage, the number of bacteria is: 50,000
Then, after 47 min: 50,000 * 2 = 100,000
Then, after 47 min which is after 94 min: 100,000 * 2 = 200,000
Then, after 47 min which is after 141 min: 200,000 * 2 = 400,000
Therefore, using multiplication we know that after 141 min there will be 400,000 bacteria present.
Know more about multiplication here:
https://brainly.com/question/10873737
#SPJ1
A circle has a diameter of 28 centimeters.
Estimate the area of the circle. Use
3.14
or
22
7
for
π
.
What is the volume of the rectangular prism?
A rectangular prism has a length of 10.4 millimeters, a width of 5 millimeters, and a height of 8 millimeters.
The area of the given circle is 616 sq.cm.
The volume of rectangular prism is 416 mm³
What is a circle?A circle is a particular type of ellipse when the eccentricity is zero and both foci are present. The locus of points drawn equally apart from the centre is also referred to as a circle. The radius of a circle is the separation between its centre and its periphery. The circle's diameter, which is equal to twice its radius, is the line that splits the circle into two equal pieces.
What is area of circle?Area of a circle is the region occupied by the circle in a two-dimensional plane. It can be determined easily using a formula, A = πr2, (Pi r-squared) where r is the radius of the circle. The unit of area is the square unit, such as m², cm², etc.
Area of Circle = πr² or πd²/4, square units
where π = 22/7 or 3.14
according to question,
Area = pi times the radius squared
A = pi * r²
A = 22/7 * 14²
A = 22/7 * 196
A = 4,312 / 7
A = 616 sq. cm.
V = l*w*h
To determine the volume, multiply all three dimensions together.
For Connexus users Rectangular prisms and volume quiz part 2:
l * w * h = 8 * 5 * 10.4 = 416
the volume of rectangular prism is 416 mm³
To know more about circle visit:
https://brainly.com/question/29142813
#SPJ1
how many tickets of each type were sold ?
Answer:
Let's use a system of equations to solve the problem.
Let x be the number of regular admission tickets sold, and y be the number of fast pass tickets sold.
From the problem, we know that:
x + y = 104 (equation 1)
and
8x + 22y = 1280 (equation 2)
We can use equation 1 to solve for x in terms of y:
x = 104 - y
Substituting this expression for x into equation 2, we get:
8(104 - y) + 22y = 1280
Simplifying and solving for y, we get:
832 - 8y + 22y = 1280
14y = 448
y = 32
So the student sold 32 fast pass tickets.
To find the number of regular admission tickets sold, we can substitute y = 32 into equation 1 and solve for x:
x + 32 = 104
x = 72
So the student sold 72 regular admission tickets.
Therefore, the student sold 72 regular admission tickets and 32 fast pass tickets.
mrs lopez types at a constant rate the constant of proportionality for the relationship between the number of words she types w, and the number of minutes she types m,is 38 write an equation to show this relationship
The equation that shows the relationship is w = 38m.
Writing an equation to show this relationshipIf Mrs. Lopez types at a constant rate, then the number of words she types is directly proportional to the amount of time she types. We can express this relationship using the formula:
w = km
where w is the number of words typed, m is the number of minutes spent typing, and k is the constant of proportionality.
We are given that k = 38, so we can substitute this value into the formula to get:
w = 38m
Therefore, the equation that shows the relationship between the number of words Mrs. Lopez types and the number of minutes she types is w = 38m.
Read more about proportional relationship at
https://brainly.com/question/28651666
#SPJ1
Calculate the size of angle 0.
Give your answer to the nearest degree.
In the given triangle, using the law of Cosines, the value of angle θ is 103°
Law of Cosines: Calculating the value of an angleFrom the question, we are to calculate the value of angle θ in the diagram.
From the given diagram,
We have a triangle ABC with given side lengths
From the given information,
a = 42 cm
b = 78 cm
c = 57 cm
From the law of Cosines, we have that
cos B = (a² + c² - b²)/2ac
Thus,
cos θ = (a² + c² - b²)/2ac
Substitute the parameters
cos θ = (42² + 57² - 78²)/2(42)(57)
cos θ = (1764 + 3249 - 6084) / (4788)
cos θ = -1071/4788
θ = cos⁻¹(-1071/4788)
θ = 102.9255
θ ≈ 103°
Hence, the value of θ is 103°
Learn more on Law of Cosines here: https://brainly.com/question/28022160
#SPJ1
I need some help please
Answer:
y + 21 = - 4(x - 7)
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (7, - 21 ) and (x₂, y₂ ) = (- 4, 23 )
m = [tex]\frac{23-(-21)}{-4-7}[/tex] = [tex]\frac{23+21}{-11}[/tex] = [tex]\frac{44}{-11}[/tex] = - 4
using (a, b ) = (7, - 21 ) , then
y - (- 21) = - 4(x - 7) , that is
y + 21 = - 4(x - 7)
Little help please I think the answer is d 20 points
Which statement correctly explains the association of the scatter plot?
Responses
Since the y-values decrease as the x-values increase, the scatter plot shows a positive association.
Since the , y, -values decrease as the , x, -values increase, the scatter plot shows a positive association.
Since the y-values increase as the x-values increase, the scatter plot shows a negative association.
Since the , y, -values increase as the , x, -values increase, the scatter plot shows a negative association.
Since the y-values decrease as the x-values increase, the scatter plot shows a negative association.
Since the , y, -values decrease as the , x, -values increase, the scatter plot shows a negative association.
Since the y-values increase as the x-values increase, the scatter plot shows a positive association.
The scatter plot reveals a positive connection since the y-values grow as the x-values grow.
what is scatterplot ?An example of a graph that employs Cartesian coordinates to show values for two categories for a collection of data is a scatter plot, sometimes referred to as a scatter diagram. Each pixel in the data's representations is a point with a horizontal position (indicating the value of one variable) and a vertical displacement (representing the value of the other variable). In order to observe correlations among variables and spot patterns in the data, scatter plots is utilised. They are frequently employed in data processing, statistics, and academic studies.
given
The scatter plot reveals a positive connection since the y-values grow as the x-values grow.
To know more about scatter plot visit :-
https://brainly.com/question/30017616
#SPJ1
PLEASE HELP SOSOSOSOSOS
Consider this system of equations
{10x + 13y + 15z = 4
{ 12x - 2y + 5z = - 8
{ 2x + 2y - 6z = 4
The system can be represented by the following matrix equation where A is a 3 x 3 matrix and ⇾b is a 3D vector
[ x
A [ y = ⇾b
[ z
Find A and ⇾b
The given system of equations can be represented in matrix form as:
| 10 13 15 | | x | | 4 |
| 12 -2 5 | x | y | = |-8 |
| 2 2 -6 | | z | | 4 |
Therefore, the matrix A is:
| 10 13 15 |
| 12 -2 5 |
| 2 2 -6 |
And the vector ⇾b is:
| 4 |
|-8 |
| 4 |
What is the amplitude of the function?
We can see here that the amplitude of the function is: A. 3.
What is amplitude of a function?The amplitude of a function is the measure of its maximum deviation from its central value. In simpler terms, it is the height of a wave or the distance from the center line to the peak or trough of a function.
For example, in a sine wave, the amplitude is the distance from the center line (or zero) to the highest point of the wave. In mathematical terms, if f(x) is a periodic function with period T, then the amplitude A of f(x) is given by:
A = (f(x)_max - f(x)_min)/2
where f(x)_max and f(x)_min are the maximum and minimum values of f(x) over one period.
Max = 4
Min = -2
A = [4 - (-2)]/2 = 6/2 = 3
Learn more about amplitude of a function on https://brainly.com/question/31312938
#SPJ1
how is this answer wrong?
Answer:
its taking the immage on the right and moving it ounter clockwise 90°
Compare these rational numbers. Which of the following are true?
i. -2.3 - 1.3
ii. -2.3 -1.3
iii. -2.3> - 3.3
iv. -2.3 -3.3
a.ii and iv
b.ii and iii
c.i and iii
d.i and iv
The correct options for the given rational numbers are (a) ii and iv.
What are rational numbers?P/Q is the format for rational numbers, where p and q are open-ended integers and q 0. The natural numbers, whole numbers, integers, fractions of integers, and decimals are all examples of rational numbers.
To compare the rational numbers, we need to perform the given operations and determine their relative magnitudes:
i. -2.3 - 1.3 = -3.6
ii. -2.3 -1.3 = -3.6
iii. -2.3 > -3.3
iv. -2.3 -3.3 = -5.6
Comparing i and ii, we see that they are equal. Therefore, both options i and ii are true.
Comparing iii, we see that -2.3 is greater than -3.3. Therefore, option iii is true.
Comparing iv, we see that -5.6 is less than both -2.3 and -3.3. Therefore, option iv is false.
So, the correct options are (a) ii and iv.
Learn more about rational numbers on:
https://brainly.com/question/17572421
#SPJ1
The temperature at the point (x,y) on a metal plate is
T=x/x2+y2
Find the direction of greatest increase in heat from the point (2, 5).
The direction of the greatest increase in heat from the point (2, 5) is in the direction of the vector (-21, -20).
To find the direction of the greatest increase in heat from point (2, 5), we need to find the gradient vector of the temperature function T(x,y) at that point, and then determine the direction in which the gradient vector points.
The gradient vector of T(x,y) is given by:
∇T(x,y) = (∂T/∂x)i + (∂T/∂y)j
where i and j are the unit vectors in the x and y directions, respectively.
Taking the partial derivatives of T(x,y) with respect to x and y, we get:
∂T/∂x = (x² - y²)/(x² + y²)²
∂T/∂y = -2xy/(x² + y²)²
Substituting x = 2 and y = 5, we get:
∂T/∂x = (4 - 25)/(29)² = -21/1681
∂T/∂y = -20/1681
Therefore, the gradient vector of T(x,y) at the point (2, 5) is:
∇T(2,5) = (-21/1681)i - (20/1681)j
The direction of the greatest increase in heat from points (2, 5) is in the direction of the gradient vector. We can normalize the gradient vector to get the unit vector in this direction:
u = (∇T(2,5))/|∇T(2,5)|
where |∇T(2,5)| is the magnitude of the gradient vector, given by:
|∇T(2,5)| = √((-21/1681)² + (-20/1681)²) = sqrt(841)/1681 = 1/41
Thus, the unit vector in the direction of greatest increase in heat from the point (2, 5) is:
u = (-21/1681i - 20/1681j)/(1/41) = -21i - 20j
Therefore, the direction of the greatest increase in heat from points (2, 5) is in the direction of the vector (-21, -20).
Learn more about direction at
https://brainly.com/question/13899230
#SPJ4
show your work i need it
The expression representing the width of the garden is given as follows:
6w + 2.
An equivalent expression is given as follows:
2(3w + 1).
How to obtain the expression?The width of the rectangle is represented as follows:
w.
Six times the width of the rectangle is represented as follows:
6w.
Two feet plus six times the width of the rectangle is represented as follows:
6w + 2.
6 = 2 x 3, hence the simplified expression can be given as follows:
2(3w + 1).
More can be learned about a solution for an unknown number at https://brainly.com/question/13729904
#SPJ1
3. Find the area of the shape below. Break
the larger shape into smaller pieces if needed.
8.4m
4m
11.4m
8m
ak direst
boyut ved FI
So, the area of the shape is 164.4 square meters.
What is area?In geometry, area is the measure of the size of a two-dimensional surface or region. It is the amount of space inside the boundaries of a flat object such as a polygon, circle, or rectangle. Area is measured in square units, such as square meters (m²), square centimeters (cm²), square feet (ft²), square inches (in²), and so on. To calculate the area of a shape, you typically need to use a specific formula depending on the type of shape, such as base times height for a triangle, or length times width for a rectangle.
Here,
The area of the shape is equal to the sum of the areas of these smaller pieces. We can calculate each area as follows:
The area of the rectangle on the left is 4m x 8.4m = 33.6 square meters.
The area of the rectangle on the right is 8m x 11.4m = 91.2 square meters.
The area of the triangle on the top is (8.4m x 4m) / 2 = 16.8 square meters.
The area of the triangle on the bottom is (11.4m x 4m) / 2 = 22.8 square meters.
Therefore, the total area of the shape is:
33.6 + 91.2 + 16.8 + 22.8 = 164.4 square meters
To know more about area,
https://brainly.com/question/30106292
#SPJ1
You have 10 grades in your math class. After ordering them from least to greatest, this is the data set: {80, 82, 82, 83, 85, 88, 92, 95, 95, 96}. Which statement is true about the mode?
The mode is 95.
The mode is 82.
There are two modes: 82 and 95.
There is no mode
Answer:
82 and 95
Step-by-step explanation:
Most repeated
What is the slope of the line tangent to the curve y^3-xy^2+x^3=5 at the point (1,2)?
Options are as follows: A. 1/10
B. 1/8
C. 5/12
D. 11/4
The slope of the line tangent to the curve y³-xy²+x³=5 at the point (1,2) is option (B) 1/8.
To find the slope of the line tangent to the curve at the point (1,2), we first need to find the derivative of the curve with respect to x, and then evaluate it at x=1, y=2.
Taking the derivative of both sides of the equation y³-xy²+x³=5 with respect to x using the product rule, we get
3y²(dy/dx) - y² - 2xy(dy/dx) + 3x² = 0
Simplifying this expression and solving for dy/dx, we get:
dy/dx = (y² - 3x²)/(3y² - 2xy)
Substituting x=1 and y=2, we get:
dy/dx = (2² - 3(1)²)/(3(2)² - 2(1)(2))
dy/dx = (4 - 3)/(12 - 4)
dy/dx = 1/8
Therefore, the correct option is (B) 1/8
Learn more about slope here
brainly.com/question/30577296
#SPJ4