Answer:
Step-by-step explanation:
andrea lb: 164.5cm
andrea ub: 165.5 cm
joel lb: 165
joel ub: 175
Match each pair of points to the slope of the line that joins them.
Pair of Points
a. (9, 10) and (7.2)
b. (-8, -11) and (-1,-5)
c. (5, -6) and (2, 3)
d. (6, 3) and (5, -1)
e. (4,7) and (6,2)
4
-3
Slope
52 67
The slope of each pair point is listed below:
Case A: m = - 4
Case B: m = 6 / 7
Case C: m = - 3
Case D: m = 4
Case E: m = - 5 / 2
How to determine the slope of a secant line
In this problem we find five cases of two points that are part of a line, whose slope (m) can be calculated by means of secant line formula:
m = (y₂ - y₁) / (x₂ - x₁)
Where:
x₁, y₁ - Coordinates of the initial point.x₂, y₂ - Coordinates of the final point.Now we determine the slope for each case:
Case A:
m = (10 - 2) / (7 - 9)
m = 8 / (- 2)
m = - 4
Case B:
m = [- 5 - (- 11)] / [- 1 - (- 8)]
m = 6 / 7
Case C:
m = [3 - (- 6)] / (2 - 5)
m = 9 / (- 3)
m = - 3
Case D:
m = (- 1 - 3) / (5 - 6)
m = - 4 / (- 1)
m = 4
Case E:
m = (2 - 7) / (6 - 4)
m = - 5 / 2
To learn more on slopes: https://brainly.com/question/19131126
#SPJ1
Select all ratios equivalent to 1:2.
Answer:
1/2 & 0.5
Step-by-step explanation:
PLEASE HELP THIS IS WORTH 12 points and you will be marked as brainliest !!!!!!!!! REALLY URGENT !!!!!
------------------
Figure JKLM below is dilated with a scale factor of 1/4 . Match the appropriate coordinates for J' K' L' M' (after dilation) .
Basically what is :
(4,8) x 1/4 = ?
(4,-8) x 1/4 =?
(-8,0) x 1/4 = ?
(8,0) x 1/4 =?
Step-by-step explanation:
so, for (4, 8) × 1/4, what is 4×1/4 ? and what is 8×1/4 ?
(1, 2)
similar for (4, -8) it is (1, -2).
similar for (-8, 0) it is (-2, 0).
similar for (8, 0) it is (2, 0).
that's it. that's really all there is to it. you multiply all the coordinates by the scale factor.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 Make a list of all the patterns you notice in the number arrangement above. If we were to continue this number arrangement, what would be the middle number on the 50th row? What about the nth row?
Answer:
chronological
or +1 each number up
Step-by-step explanation:
The middle number on the 50th row is 891.5.
The nth row is 18n - 17.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
We see that there are 18 numbers in each row.
The numbers are consecutive natural numbers.
Now,
We can see that,
The first number of each row is 1.
The first number of the second row is 19.
The first number of the third row is 37.
The first number in each row can form a series.
1, 19, 37,....
This series is an arithmetic sequence.
First term = 1
Common difference = 18
The nth term is a + (n - 1)d.
50th term.
= 1 + (50 - 1)18
= 1 + 49 x 18
= 1 + 882
= 883
This means,
The 50th row will have the following series.
883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900.
The middle number is the midpoint of 891 and 892.
= 891.5
The nth row.
= 1 + (n - 1)18
= 1 + 18n - 18
= 18n - 17
Thus,
The middle number on the 50th row is 891.5.
The nth row is 18n - 17.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
explain how you determined which distribution to use. the t-distribution will be used because the samples are independent and the population standard deviation is not known. the standard normal distribution will be used because the samples are independent and the population standard deviation is known
You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.
What is t-distribution and normal distribution ?Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
In graphical form, the normal distribution appears as a "bell curve".
The normal distribution is the proper term for a probability bell curve.
In a normal distribution the mean is zero and the standard deviation is1. It has zero skew and a kurtosis of 3.
Normal distributions are symmetrical, but not all symmetrical distributions are normal.
The t-distribution describes the standardized distances of sample means to the population mean when the population standard deviation is not known, and the observations come from a normally distributed population.
Therefore,
You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.
Learn more about t-distribution and normal distribution here ;
https://brainly.com/question/24277447
#SPJ4
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The measure of the two sides of a triangle are 20 and 15 what are the possible values for the 3rd side see picture below
The possible value of 3rd side is x ≤ 35.
What is a triangle?
A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
Given that the length of two sides of a triangle are 20 and 15.
Triangle inequality theorem:
The sum of two sides of a triangle is always greater than the third side.
The of two sides of the triangle is (20 + 15) = 35.
According to triangle inequality theorem,
The third side of the triangle must be less than 35.
Assume that the length of the third side is x.
Therefore, x ≤ 35.
To learn more about Triangle inequality theorem, click on below link:
https://brainly.com/question/21335401
#SPJ1
Someone please answer this question it is in the picture I will give you brainliest and your getting 50 points no fraud answers.
Answer: a=9 b=11
Step-by-step explanation:
This is a parallelogram; we know by the definition of the shape that the opposites sides are congruent.
That means a, the opposite of the 9, is 9.
That means b, the opposite of the 11, is 11.
the function g is defined by g(x) = 3 sin ( 2x + 1 ) - 1 what is the range of g?
how can i know?
Answer:
[-4,2] is the range
Step-by-step explanation:
A parent function of sine is known to have range of -A ≤ y ≤ A where A stands for amplitude.
Therefore, we would have the range:
[tex] \displaystyle{ - 3 \leqslant g(x) \leqslant 3}[/tex]
But since there's a vertical shift of -1, we have to subtract -1 from both -3 and 3.
[tex] \displaystyle{ - 4 \leqslant g(x) \leqslant 2}[/tex]
Therefore, the range of function is [-4,2]
identify the most appropriate test to use for the following situation: a private and a public university are located in the same city. for the private university, 1046 alumni were surveyed and 653 said that they attended at least one class reunion. for the public university, 791 out of 1327 sampled alumni claimed they have attended at least one class reunion. is the difference in the sample proportions statistically significant? a) matched pairs b) two sample z test c) two sample t test d) one sample t test
The most appropriate test to use the given situation is option (B) two sample z test
Total number of alumni were surveyed = 1046
Number of alumni attempted at least one class reunion = 653
Similarly, in public university, 791 out of 1327 sampled alumni claimed they have attended at least one class reunion.
The two sample z test is used to compare the means of two samples to see if it is feasible that they come from the same population.
The difference in the sample proportion is statistically significant
Therefore, the correct test for the situation is option (B) two sample z test
Learn more about two sample z test here
brainly.com/question/22259274
#SPJ4
I need to simplify the exponent for my math test asap.
Write the equation in slope-intercept form of the line that passes through (6, -11) and is parrallel to the graph
On solving the provided question we can say that the equation of the line will be y+11 = 0.
How do you define a slope?The slope of a line is how steeply it slopes from left to right. The slope of a line is determined by dividing its rise (vertical change) by its slope, which is its horizontal change. Regardless of whatever two locations on the line you pick, the slope of the line is always constant (it never changes).
How do you find slope?To find the coordinates of two points on the line, choose two. Find the difference between these two locations' y-coordinates (gradients). Find the difference between these two places' x coordinates (runs). Divide the change in the y coordinate by the difference in the x coordinate (slope/history or slope).
Here,
slope, m= 0 as these are parallel line.
so the equation of the line will be
y-y1 = m(x-x1)
y+11 = 0
To know more about slope visit:
https://brainly.com/question/3605446
#SPJ1
please help , will give brainlest
Answer:
20o
Step-by-step explanation:
Angle sum property of triangle states that the sum of interior angles of a triangle is 180o.
so 25 + 135 + ? = 180
? = 180 - 25 - 135
? = 20
the amount of time it takes hugo to solve a rubik's cube is continuous and uniformly distributed between 4.5 minutes and 12.5 minutes. what is the probability that it takes hugo less than 8 minutes to solve a rubik's cube?
The probability that hugo will solve rubik's cube in less than 8 minutes is 0.4375.
We have given that,
the amount of time it takes hugo to solve a rubik's cube is continuous and uniformly distributed between 4.5 minutes and 12.5 minutes.
i.e. a = 4.5 and b = 12.5
The probability that we find a value of X lower than x is given by the f
P(X < x) = [tex]\frac{x-a}{b-a}[/tex]
We have to find probability that it takes hugo less than 8 minutes to solve rubik's cube.
Therefore
P(X < 8) = [tex]\frac{8-4.5}{12.5-4.5}[/tex]
= [tex]\frac{3.5}{8}[/tex]
P(X < 8) = 0.4375
Hence the probability that it takes hugo less than 8 minutes to solve a rubik's cube is 0.4375%.
The uniform continuous distribution is one of the simplest probability distributions in statistics. Is is a continuous distribution, this means that it takes values within a specified range. A continuous uniform distribution takes values in a range [a,b].
To know more about probability here
https://brainly.com/question/15252985
#SPJ4
You would like to know how effective a diet program is at helping people lose weight. 18 over-weight people are randomly selected to participate in the program. They are weighed before and after the program and the results are listed below. Do these results give evidence that the diet program is effective at the 1% significance level? Participant 1 2 4 5 6 Before 185 220 190 158 227 211 After 175 215 195 155 230 207 Participant | 7 ー 19 | 10 |11 | 12 | Before 260 156 201 300 180 270 Afer 258 159 201 290 172 272 Participant 13 14 15 16 17 18 Before 293 183 |205 151 291 166 After 290 185 200 146 287 166
The claim that a drug is effective at 1% is not sufficiently supported by the available data.
Participant 1 2 3 4 5 6
Before 185 220 190 158 227 211
After 175 215 195 155 230 207
Difference = Before - After = 10 5 -5 3 -3 4
Participant 7 8 9 10 11 12
Before 260 156 201 300 180 270
After 258 159 201 290 172 272
Difference = Before - After = 2 -3 0 10 8 -2
Participant 13 14 15 16 17 18
Before 293 183 205 151 291 166
After 290 185 200 146 287 166
Difference = Before - After = -7 -2 5 5 4 0
Hypothesis :
H0 : μd = 0
H0 : μd ≠ 0
10+5-5+3-3+4+2-3+10+8-2+3-2+5+5+4+0 = 44
The mean of d, [tex]d`[/tex] = Σd / n = 44 / 18 = 2.44
The standard deviation, S.d = 4.45 (using calculator)
The test statistic, T : [tex]d`[/tex] / (S.d/√n)
T = 2.44 / (4.45/√18)
T = 2.44 / 1.0488750
T = 2.326
Degree of freedom, df = n - 1 ; 18 - 1 = 17
P value = 0.0326
α = 0.01
Since P value < α ; we fail to reject H0
So the claim that a drug is effective at 1% is not sufficiently supported by the available data.
To know more about hypothesis here
https://brainly.com/question/29519577
#SPJ4
A shop sells fruit and vegetables
Gaya buys 1 orange and 1 cauliflower
she pays £1.25
Esteban buys 3 oranges and 1 cauliflower
He pays 1.95
Work out the price of one orange in pounds (£)
Answer:
[tex]\boxed{0.49}[/tex]
Step-by-step explanation:
To find the price of one orange, we need to determine how much Gaya and Esteban paid for their oranges in total and then divide that amount by the number of oranges they bought.Gaya paid £1.25 for 1 orange and 1 cauliflower, so she paid £1.25 for her orange.Esteban paid £1.95 for 3 oranges and 1 cauliflower, so he paid £1.95 - £1.25 = £0.70 for his 3 oranges.In total, Gaya and Esteban paid £1.25 + £0.70 = £1.95 for 4 oranges.So, the price of one orange is £1.95 / 4 = £<<1.95/4=0.49>>0.49. Answer: \boxed{0.49}.
! a school has 25 classrooms and an office. an inercom system connects the classrooms to each other and to the office. what is the total number of classroom to classroom and classroom to office connections?
what i need is an explanation
Answer:
650 connections
Step-by-step explanation:
Each classroom has 25 connections including the office, therefore 26classrooms(including the office) are connected to 25 places: 26*25=650 connections
A school has a pep band, a sports band, a marching
band, and a concert band. In each band, there are
2 trombones for every 5 trumpets. Complete the table
for the bands.
5 Trumpets
10 Trumpets
8 Trombones
6 Trombones for 15 Trumpets
Four apples and three bananas cost £4.48
Three apples and four bananas cost £4.76
Work out the cost of an apple and the cost of a banana.
Answer:
To solve this problem, we can set up a system of two equations to represent the given information:Let A be the cost of an apple and B be the cost of a banana.Then the first equation is: 4A + 3B = 4.48
The second equation is: 3A + 4B = 4.76To find the values of A and B, we can solve this system of equations using substitution or elimination.Using substitution, we can solve for A in the first equation and substitute that expression into the second equation:4A + 3B = 4.48
A = (4.48 - 3B)/4Substituting this expression for A into the second equation gives:3((4.48 - 3B)/4) + 4B = 4.76
3(4.48 - 3B) + 4B = 4.76
13.44 - 9B + 4B = 4.76
4.44 - 5B = 4.76
-5B = -0.32
B = 0.064Now that we have found the value of B, we can substitute it back into the first equation to find the value of A:4A + 3(0.064) = 4.48
4A + 0.192 = 4.48
4A = 4.288
A = 1.072Therefore, the cost of an apple is £1.072 and the cost of a banana is £0.064.
Step-by-step explanation:
Answer:
The answer is below
Find the time difference between 2:25am and 6:10am.
Answer:
3 hours and 45 minutes
Step-by-step explanation:
ggggggggggggg
Cylindrical paper dryerse are used in pulp and paper mills. One dryer has diameter 1.5m and length 2.5m.
What is the area of the curved surface of this dryer?
The area of the curved surface of the dryer is 11.775m
What is the cylinder?The three-dimensional form of a cylinder is made up of two parallel circular bases connected by a curving surface. The right cylinder is created when the centers of the circular bases cross each other. The axis, which represents the height of the cylinder, is the line segment that connects the two centers.
What are the examples of cylinders?A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a certain height from the center. Real-world examples of cylinders are toilet paper rolls and cold beverage cans.
We know, the formula for curved surface of cylinder is 2pirh
putting the desired value in the equation we get
11.775m
To learn more about cylinders, click the following link;-
https://brainly.com/question/23935577
#SPJ1
on a dating site, users can select 5 out of 24 adjectives to describe themselves. a match is declared between two users if they match on at least 4 adjectives. if alice and bob randomly pick adjectives, what is the probability that they form a match
The probability that Alice and Bob form a match is [tex]^{24} C_{5}[/tex] * (([tex]^{24} C_{4}[/tex])*20*19) / [tex]^{24} C_{5}[/tex] * [tex]^{24} C_{5}[/tex].
To answer the question, we use the probability by its complement.
What is Complement of An Event?The complement of an event is the subset of outcomes in the sample space that are not in the event. A complement is itself an event.
In this case, probability space is ([tex]^{24} C_{5}[/tex])^2 where there is match for 4 or 5.
For number of ways for 5 adjectives match is ([tex]^{24} C_{5}[/tex]).
For number of ways for 4 adjectives match is ([tex]^{24} C_{4}[/tex])*20*19.
We first choose 4 adjectives which are match and then there are 20*19 ways for both of them to choose an adjective each from remaining 20 adjectives.
Then, the desired probability is:
[tex]^{24} C_{5}[/tex] * (([tex]^{24} C_{4}[/tex])*20*19) / [tex]^{24} C_{5}[/tex] * [tex]^{24} C_{5}[/tex]
Learn more about complement at: https://brainly.com/question/13723132
#SPJ4
Pls help me limited time i’ll give brainliest
Answer:
2.4 would be the answer i took this before
Step-by-step explanation:
peterson's solution is a valid solution to the critical section problem on modern multi-core systems. true false
Therefore, Peterson's solution is not a valid solution to the critical section problem on modern multi-core system so it is false.
What is multi core system?A multicore processors is an electronic component that has two or more processor cores attached for higher performance and lower power consumption. These processors also enable more efficient execution of numerous activities, such as with parallelization and multithreading.
Here,
It is because of the following disadvantages:
Although Peterson's technique is effective for two processes, it is the best plan for the important part in user mode.
Additionally, this solution involves busy waiting, wasting CPU time. So that “SPIN LOCK” problem can emerge. And any busy waiting solution may encounter this issue.
Therefore, Peterson's solution is not a valid solution to the critical section problem on modern multi-core system so it is false.
To know more about system , visit
https://brainly.com/question/12895249
#SPJ4
(Use Excel) The See Me marketing agency wants to determine if time of day for a television advertisement influences website searches for a product. They have extracted the number of website searches occurring during a one-hour period after an advertisement was aired for a random sample of 30 day and 30 evening advertisements. A portion of the data is shown in the accompanying table. Use Table 2. ay Searches Evening Searches 96670 118379 97855 111005 96368 100482 98465 122160 98550 117158 101623 101556 95753 98875 104384 102036 99475 110932 103780 101963 97608 123513 99859 102195 101764 111388 97287 116287 98066 119660 95390 112553 96125 98245 96767 98062 99494 101657 102498 106451 99260 104247 102020 105507 102468 118339 96543 109847 102491 123996 96557 122545 102627 113248 95048 104941 96969 111829 95103 114721 Click here for the Excel Data File
a) The mean number of website searches differs between the day and evening advertisements based on this hypothesis:
[tex]H_{0} :[/tex] μ[tex]_{x}[/tex]-μ[tex]_{y}[/tex] = 0
[tex]H_{a} :[/tex] μ[tex]_{x}[/tex]-μ[tex]_{y}[/tex] ≠ 0
The null hypothesis in the question states that the mean number of website searches does not differ between the day and evening advertisements and the alternative hypothesis states that the mean number of website searches differs between the day and evening advertisements. It can be written as:
[tex]H_{0} :[/tex] μ[tex]_{x}[/tex]-μ[tex]_{y}[/tex] = 0
[tex]H_{a} :[/tex] μ[tex]_{x}[/tex]-μ[tex]_{y}[/tex] ≠ 0
b-1) From the below excel output screenshot the t-test statistical value is I -0.3476.
b-2) From the below excel output the critical t value comes as 2.0017. So, the rejection region includes all the values greater than 2.0017 and less than -2.0017.
c) The calculated t-statistic value is not falling in the rejection region. So we do not reject the null hypothesis.
Do not reject [tex]H_{0}[/tex]. At the 5% significance level, we conclude the mean number of website searches not differ between the day and evening advertisements.
(The below excel screenshot shows the customized formula and the output which is required to find the values required to test the hypothesis.)
To learn more about the hypothesis visit:brainly.com/question/29519577
#SPJ4
a grocery store has an average sales of $8000 per day. the store introduced several advertising campaigns in order to increase sales. to determine whether or not the advertising campaigns have been effective in increasing sales, a sample of 100 days of sales was selected. it was found that the average was $8200 per day. from past information, it is known that the standard deviation of the population is $1500. the value of the test statistic is\
The value of test statistics as calculated from the given data is 0.092.
p = 1 - P(Z < Z')
Z' = (8200-8000)/ (1500/√100)
Z'= 1.3
p = 1 - P(Z < Z')
= 1 - P(Z < 1.3)
= 1 - 0.908
= 0.092
The Z-score, also known as the standard score, indicates how far a data point deviates from the mean. It represents the number of standard deviations an element has from the mean. As a result, the Z-Score is expressed in terms of standard deviation from the mean.
A z score is a statistical measurement that indicates how far a raw score deviates from the mean of a distribution. A z score is used in a z test to test hypotheses. It is also used in prediction intervals to calculate the likelihood of a random variable falling between two values.
To learn more about z-score
https://brainly.com/question/15016913
#SPJ4
Kaya can ride her bike 3mi/h faster than Josh can ride his bike. If Kaya and Josh ride their bikes at the same time, Kaya will travel 60 miles and Josh will travel 12 miles less. How fast can Josh and Kaya ride their bikes?
On solving the given question, by the equation, A riding 48 mi at 8 mph takes 6 hours, which indeed is 3 hours longer .A riding 48 mi at 8 mph takes 6 hours, which indeed is 3 hours longer.
What is equation?An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."
J can ride his bike 8 mph faster than A can ride. It takes A 3 hours longer than J to ride 48 miles. How fast can J ride?
Let r = rate that J rides, in miles per hour.
Then rate that A rides is (r – 8).
distance = rate * time
time = distance/rate
Time taken by J to ride 48 miles = 48/r.
Time taken by A to ride 48 miles = 48/(r – 8).
But A's time is 3 hours more than J's time.
48/(r – 8) = 3 + 48/r
Solve that for r.
48/(r – 8) = 3r/r + 48/r
48/(r – 8) = (3r + 48)/r
Multiply both sides by (r – 8)r.
[tex]48(r) = (3r + 48)(r - 8)\\ 48r = 3r2 -24r + 48r -384\\ 0 = 3r2 - 24r -384\\ 0 = r2 -8r - 128\\ 0 = (r -16)(r + 8)[/tex]
So r = 16 mph or r = –8 mph.
J riding 48 mi at 16 mph takes 3 hours.
A riding 48 mi at 8 mph takes 6 hours, which indeed is 3 hours longer.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
Calculate the volume of the figure. Use 3.14 for π
for the 2015 general social survey, a comparison of females and males on the number of hours a day that the subject watched tv gave the following results.
According to the test 0 is not plausible value for the difference between the population means.
What is population mean?
There are various mean types in mathematics, particularly in statistics. Each mean serves to summarize a specific set of data, frequently to help determine the overall significance of a specific data set.
We have
n1 = 504, x f = 3.13
n2 = 400, x m = 2.87
(a) Hypothesis: H0: μf = μm V/s H1: μf ≠ μm
Yes, because according to the test 0 is not plausible value for the difference between the population means.
To know more about population mean, click on the link
https://brainly.com/question/26941429
#SPJ4
Complete question:
Complete question is attached below.
8.4 Area Between Two Curves Homework Name Date Period Problems 1 - 12, Sketch the region bounded by the graphs of the equations and find its area. 1. y = x2: y = 4x 2. y = x + 1: y = 5 3. x=y2; x - y = 2 4. ya = 4+x: y2 + x = 2
the area between first two curves is 10.67-unit, 2nd two curves is 8-unit, 3rd two curves is 7.5 unit, and the last two curves is
How can we calculate the area between two curves?area bounded by two curves means the curves have intersected each other and we can determine the point of intersection of them. In the next we apply the integration with limit formula for the equation of curves in where the point of intersection acts as the upper and lower limit.
Does the area always positive?while determining area we get either negative value or positive value depending on the position of curve in the xy coordinate but in real life the value of area is written as a positive number.
1. the curve y=x² and y=4x
let the two curves intersects each other so x²- 4x= 0
x=0, 4
for this value of x, we determine the values of y
y= 0, 16
now we determine the area between two curves by using the formula, ∫x²dx-∫4xdx
∫₀⁴(x²-4x) dx
[1/3×x³-³4/2×x²]₀⁴
area = -10.67
2. the curves y=x+1 and y=5 is intersected as we need to calculate the area bounded by them, 5=x+1 and x=4
for x=4, we get y= 5
now the area will be ∫₀⁴(x+1-5)dx
[1/2x²- 4x] ⁴
area= -8 unit
3. in case of 3rd two curves, x=y² and x-y=2
y²-y=2, hence y= -1, 2
the x values are x= 1, 4
the area bunded by them is ∫₋²₁{y²-(y-2)}dy
[1/3y³-1/2y²+2y]₋²₁
area =7.5 unit
4. from the last two curves y=4+x, y²= 2-x
hence, the area calculated are 10.67-unit, 8 unit and 7.5 unit respectively.
to learn more about integration with limit visit the link:
https://brainly.com/question/29755618
#SPJ4
Given that ABCD is a rhombus, what is the value of x?
A. 29
B. 13
C. 51.5
D. 34
E. 45
F. Cannot be determined
Given that ABCD is a rhombus, the value of x is 29. Option A
Describe the rhombus.A rhombus is a parallelogram having four equal sides and, occasionally, one without any right angles.
A rhombus's diagonals are perpendicular to each other.
How to find the value of xsum the equation to 180
x + 3x -26 + 90 = 180
4x = 180 - 90 + 26
4x = 116
We have to divide through the equation by 4 in order to get the value of x
4x / 4 = 116 / 4
x = 29
Hence the value of x in the given rhombus is 29
Read more on rhombus here:https://brainly.com/question/1592614
#SPJ1
Answer:29 is the answer
Step-by-step explanation:
