Explain the limitations of the following expressions: (a) DS = C ln(T f /T i ), (b) DG = DH − TDS, and (c) DG= w max,non-exp .
(a) Limitations: Assumes reversible process, constant heat capacity.
(b) Limitations: Assumes constant T and P, and independent DH and DS with temperature.
(c) Limitation: Assumes non-expansion conditions, may not account for volume changes in real scenarios.
Evaluate each expression for the given value of each variable.
SHOW YOUR WORK!
10y + x², x is 6 y is 4
Answer:
76
Step-by-step explanation:
10 * 4 + 6 ^ 2 = 40 + 36 = 76
. Sketch the right triangle that can be used to find the length of the diagonal of the rectangular
prism shown below. What is the length of the diagonal?
plllsssss help
I need help asap im having a test on it
Answer:
Triangle ABC is congruent to triangle DFE.
The parabola with equation y = a(x – 2)^2 + q passes through the points (-2,5) and (4, -1) Determine the coordinates of the vertex of the parabola.
please help!
Step-by-step explanation:
the standard form for a quadratic function is
y = ax² + bx + c
our parabola had the equation
y = a(x - 2)² + q
let's do the "math" :
y = a(x² - 4x + 4) + q = ax² - 4ax + 4a + q
so, we know (when comparing with the standard form)
b = -4a
c = 4a + q
for the vertex we need to find the axis of symmetry first by using the standard formula
x = -b/2a
which is in our case
x = -(-4a)/2a = 4a/2a = 2
to get y for this x we need to find a and q first.
we are using the given points for that :
5 = a(-2)² - 4a×(-2) + 4a + q
-1 = a(4)² - 4a×4 + 4a + q
the first equation then forms into
5 = 4a + 8a + 4a + q = 16a + q
the second equation forms into
-1 = 16a - 16a + 4a + q = 4a + q
let's subtract the second from the first equation
5 = 16a + q
- -1 = 4a + q
--------------------
6 = 12a + 0
12a = 6
a = 1/2
-1 = 4a + q = 4×1/2 + q = 2 + q
q = -3
so, the original equation for our parabola is
y = 1/2 × (x - 2)² - 3
so y for the vertex (remember, x = 2) is
y = 1/2 × (2 - 2)² - 3 = 1/2 × 0 - 3 = -3
so the vertex is (2, -3)
In a hypothesis test for population proportion, you calculated the p-value is 0.01 for the test statistic, which is a correct statement of the p-value?
Group of answer choices
a)The p-value indicates that it is very rare to observe a test statistics equally or more extreme when the null hypothesis is true.
b)The p-value indicates that it is very likely to observe a test statistics equally or more extreme when the null hypothesis is true.
c)The p-value is calculated assuming the alternative is true.
The p-value is 0.01, which means that it is very rare to observe a test statistic that is equal to or more extreme than the one that was actually observed. SO the option a is correct.
In the given question, in a hypothesis test for population proportion, we calculated the p-value is 0.01 for the test statistic, we have to find which statement of the p-value is correct.
The p-value is the probability of obtaining results as extreme as, or more extreme than, the observed results of a statistical hypothesis test, assuming that the null hypothesis is true. A small p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis.
A large p-value (> 0.05) indicates weak evidence against the null hypothesis, so you fail to reject the null hypothesis.
If the null hypothesis is correct, the p-value is the likelihood that a test statistic will be equal to or more extreme than the one that was actually observed. Given that the null hypothesis is correct in this situation, the p-value of 0.01 indicates that it is extremely unusual to see a test statistic as dramatic as the one that was actually seen. This shows that the alternative hypothesis is more likely to be correct and that the null hypothesis is probably not true.
To learn more about test statistic link is here
brainly.com/question/14128303
#SPJ4
Explain Three obligations of a bursary.
Answer:
1. you need to have very very good marks, 2.you need to always pass and not fail because it you do you will have to pay for your self 3.
The three obligations of a bursary student are:
Student must be Registered in the institutionStudent has to be on good academic standing; The course of study must be in the area of interest.What is bursary?A bursary is a financially support set out especially for one in university or college to enable them see through their academics
Obligations of bursary depends more on the body financing it but generally one must
Be a registered student on the required institutionBe on a good academic standing as contained in the eligibility of the bursary.Be on the catchment area of the bursaryRead more on bursary here: https://brainly.com/question/26045714
will mark as brainliest if correct
Answer:lol if correct about wat about knowing nothing is there
Step-by-step explanation:
Hi thank you so for all your time and help
Hello there. To solve this question, we'll have to remember some properties about trigonometric functions and the right triangle.
We want to find x such that:
\(\tan (x)=\sqrt[]{3}\)We'll use the second right triangle to show what we want.
First, given a triangle:
We know that the hypotenuse will be:
\(\sqrt[]{x^2+y^2}\)But most importantly, the tangent of the angles α and β can be calculated by only using the legs of the triangle: it is the ratio between the opposite side and the adjacent side to an angle.
\(\tan (\alpha)=\frac{y}{x}\)and
\(\tan (\beta)=\frac{x}{y}\)Now look at the triangle we have:
We can easily check that:
\(\sqrt[]{3}=\frac{\sqrt[]{3}}{1}\)So it would be good to find something that relates the ratio between those two numbers: the tangent of 60º!!
Therefore, we have:
\(\tan (60^{\circ})=\frac{\sqrt[]{3}}{1}=\sqrt[]{3}\)And the solution to x is:
\(x=60^{\circ}\)CAN ANYONE help me need it
Below are some authorial techniques that can be used to create mystery, tension, or surprise in literature.
What are authorial techniques that can be used to create mystery?Order of events: The order in which events are presented can create a sense of mystery or suspense.
Pacing: The pace of a story can also be used to create suspense. A slow-paced story can build tension by allowing the reader to dwell on the details of a situation, while a fast-paced story can create excitement and surprise by keeping the reader guessing what will happen next.
Structure: The structure of a story can also be used to create mystery, tension, or surprise. For example, a story that is told in flashback can create a sense of mystery by revealing information about the past that is relevant to the present.
Time manipulation: The manipulation of time can also be used to create suspense.
Language: The language that an author uses can also be used to create mystery, tension, or surprise. For example, an author might use vague or ambiguous language to create a sense of mystery, or use strong language to create a sense of tension or surprise.
Learn more about structures on
https://brainly.com/question/20848481
#SPJ1
Find the equation of the horizontal line passing through the point (-1,0)
Answer:
y = 0
Step-by-step explanation:
When a question says find the horizontal line through certain points all you need to do is take the 2nd point which is 0 and make y equal to that. Doing that covers all x possibilities which means -1 is included and since you made y = 0 it passes through 0 as well.
During the transformations of reflection and translation the image does not change
shape or size
True or false?
suppose we draw 2500 samples of size 100 from a population and compute a 97% confidence interval for each sample. approximately how many of those intervals will contain the population mean?
There are approximately 2425 of those intervals that will contain the population means.
What is a confidence interval?A confidence interval is a range of values that includes a parameter estimate with a certain degree of certainty. A confidence interval is a measure of uncertainty about an estimation procedure, rather than a statement about a parameter. A confidence interval is a specific value or a range of values in statistics that is used to estimate population characteristics.
This is because a 97% confidence interval means that if we were to repeat the sampling process many times, about 97% of the resulting intervals would contain the population mean. In other words, we would expect 97% of the intervals to be "correct" in the long run, while about 3% of them would not contain the population mean.
Therefore, out of the 2500 intervals we compute, we would expect approximately 0.97 x 2500 = 2425 intervals to contain the population mean, and about 0.03 x 2500 = 75 intervals not to contain the population mean. However, it's important to note that the actual number of intervals that contain the population means may vary from this expected value due to random sampling variability.
Where, \(\[\bar{x}\]\) is the sample mean
\(\[\frac{s}{\sqrt{n}}\]\) is the standard error of the mean
zα/2 is the z-score that covers α/2 in the tails of a normal distribution.
As we draw 2500 samples of size 100 from a population and compute a 97% confidence interval for each sample, the proportion of the sample will contain the population means.
Therefore, the number of intervals that will contain the population mean is approximately 2425.
To know more about the "population mean": https://brainly.com/question/28103278
#SPJ11
scores for a qualification exam are nromally distibuted, with a mean of 80 and a standard deviation of 10. to be qualfiied for an interview, you must score in the top 10%. what is the lowest score you can earn and still be qualified for an interview
Lowest score earned to be qualified for an interview is 92.82
X : Marks scored in interview
X ~ N(80,100)
Here we need to find x such that P(X > x) = 0.10
using standard normal table,
we get P( z > 1.282) = 0.10
It's always easy to use Standard normal distribution to solve questions of normal distribution because standard normal is special case of normal distribution with mean 0 and standard deviation 1.
To convert x (which follows Normal distribution) to standard normal use: \(\frac{x-\mu}{\sigma} \sim N(0,1)\)
so, \(z = 1.282 = \frac{x-\mu}{\sigma}\)
hence,
\(x = 1.282 * \sigma + \mu \\x = 1.282 * 10+_80 \\x = 92.82 \\\)
Hence Lowest score earned to be qualified for an interview is 92.82
To learn more about Normal Distribution visit:
https://brainly.com/question/4079902
#SPJ4
if the sum of six consecutive even integers is 282, then what is the largest of the integers
Answer:
52
Step-by-step explanation:
Let the smallest even number = x
The next even number is x + 2, and the next is x + 4, and the next is x + 6, and the next is x + 8, and the next is x + 10
So the six numbers are: x, x + 2, x + 4, x + 6, x + 8, x + 10
The sum of all these numbers = 282
Solve:
6x + 30 = 282
6x = 252
x = 42
Now, the largest integer is x + 10, or in this case, it is 42 + 10 = 52
-Chetan K
1) If Cost price = Rs 200 and Selling price = Rs 240 FIND THE PROFIT WITH PROCESS
Santana believes that sales will total 174 desks and 123 chairs for the next quarter if selling prices are reduced to $1,150 for desks and $450 for chairs and advertising expenses are increased to $14,160 for the quarter. Product costs per unit and amounts of all other. expenses will not change. Required: 1. Prepare a budgeted income statement for the computer furniture segment for the quarter ended June 30,2022 , that shows the results from implementing the proposed changes. 2. Do the proposed changes increase or decrease budgeted net income for the quarter
Based on the information provided, here are my responses to your questions:1. To prepare a budgeted income statement for the computer furniture segment for the quarter that ended June 30, 2022, we need to use the following information:
- Budgeted sales: 174 desks x $1,150 per desk = $199,800
123 chairs x $450 per chair = $55,350
Total = $255,150
- Cost of goods sold: (174 desks x $800 per desk) + (123 chairs x $275 per chair) = $197,775
- Gross profit: $255,150 - $197,775 = $57,375
- Advertising expenses: $14,160
- Other expenses: (assume they remain the same as before) $21,000
- Net income: $57,375 - $14,160 - $21,000 = $22,215
Therefore, the budgeted income statement for the computer furniture segment for the quarter ended June 30, 2022 would look like this:
Income Statement (Budgeted)
For the Quarter Ended June 30, 2022
Computer Furniture Segment
Sales $255,150
Cost of goods sold ($197,775)
Gross profit $57,375
Advertising expenses ($14,160)
Other expenses ($21,000)
Net income $22,215
2. Based on the budgeted income statement, the proposed changes would increase the budgeted net income for the quarter by $4,215 ($22,215 - $18,000). This is because the increase in sales revenue ($255,150 vs. $216,000 before) is greater than the increase in advertising expenses ($14,160 vs. $9,000 before), which leads to a higher gross profit and net income.
1. To prepare a budgeted income statement for the computer furniture segment for the quarter that ended June 30, 2022, with the proposed changes, follow these steps:
a. Calculate the total sales revenue for desks and chairs:
Desks: 174 units × $1,150 = $200,100
Chairs: 123 units × $450 = $55,350
Total sales revenue: $200,100 + $55,350 = $255,450
b. Calculate the total advertising expenses:
Advertising expenses: $14,160
c. Compute the total expenses:
Total expenses = Product costs per unit (desks + chairs) + Advertising expenses + Other expenses
*Note: Since the product costs per unit and other expenses are not provided, you'll need to fill in these values to compute the total expenses.
d. Calculate the budgeted net income:
Budgeted net income = Total sales revenue - Total expenses
2. To determine if the proposed changes increase or decrease the budgeted net income for the quarter, compare the budgeted net income from the original plan to the budgeted net income with the proposed changes. If the new budgeted net income is higher than the original, the proposed changes increase the net income; if it's lower, the changes decrease the net income.
Learn more about net income here:- brainly.com/question/15570931
#SPJ11
a box of 24 frozen waffles is $4.77. what is the price per waffle?
Answer:
siudsckjznc
Step-by-step explanation:
For two consecutive numbers, five times the number that is less is 3 more than 4 times the greater number, What are the numbers
Answer:
smaller number - 7
greater number - 8
Step-by-step explanation:
let a = smaller number
a + 1 = greater number
the following equation can be derived from the question
(5 x a) = 3 + 4(a + 1)
5a = 3 + 4a + 4
5a = 7 + 4a
5a - 4a = 7
a = 7 = smaller number
a + 1 = 7 + 1 = 8 = greater number
Suppose that for each firm in the competitive market for potatoes, long-run average cost is minimized at $0.6 per pound when 150 pounds are grown. The demand for potatoes is Q = 40,000/p. If the long-run supply curve is horizontal, then what would be the total consumer spending?
Answer:
Total consumer spending is 160
Step-by-step explanation:
Here , we are interested in calculating the total consumer spending.
In a long run perfect competition market, price interest with MC and minimum point of AC
Hence , P = AC
this means that Q = 40,000/P = 40,000/150 = 266.67 which is approximately 267 potatoes will be consumed
The total consumer spending is thus 267 * 0.6 = 160
is -48.29 an integer
Answer:
No.
Step-by-step explanation:
An integer, by definition, is a whole number.
The given number, -48.29, is a decimal number, implying that it is not whole. Therefore, -48.29 is not a integer.
Learn more about integers, here:
https://brainly.com/question/14232618
Whats the answer y’all
The expressions that will give you a difference of 5 are: -3 - (-8) and 1 - (-4).
What is the Difference of Two Expressions?The difference of two expressions is determined by subtracting one from the other.
Find the difference of each of the expressions given to determine which will give us 5.
-3 - (-8)
= -3 + 8
= 5
-2 - 3 = -5 [this is not the same as 5]
1 - (-4)
= 1 + 4
= 5
7 - (-2)
= 7 + 2
= 9
-3 - (-8) and 1 - (-4) will give us a difference of 5.
Learn more about Difference of Two Expressions on:
https://brainly.com/question/28986379
#SPJ1
WILL NAME BRAINLIEST WHOEVER CAN HELP ME FIRST! PLEASE I NEED A REAL ANSWER!! A quadrilateral is graphed on a coordinate plane. If the vertices are A(2, 6), B(6, 0), C(2, –6) and D(–4, 0), which two points are farthest apart? A. A and B B. B and D C. A and C D. C and D
Answer:
A(2, 6) and C(2, -6)
Step-by-step explanation:
The distance between any two points is given by :
Given vertices : A(2, 6), B(6, 0), C(2, -6) and D(-4, 0)
Since, points A and C has the largest distance between them.
Therefore, the points A and C are the farthest points.
Which of the following numbers is
not equal to the others?
Enter
a. 0.84%
c. 8.4 * 10 ^ - 2
a, b, c, d, or e.
b. (0.21)(0.04)
d.
e. 21/25 * 10 ^ - 2
21/2500
The number that is not equal to the others is d.
a. 0.84% is equal to 0.0084 in decimal form.
b. (0.21)(0.04) is equal to 0.0084.
c. 8.4 * \(10^-^2\) is equal to 0.084. This is the same as 8.4 divided by 100, which is 0.084.
d. This is the number that is not equal to the others. We don't have the value of d.
e. 21/25 * \(10^-^2\) is equal to 0.0084. When we divide 21 by 25 and multiply the result by \(10^-^2\), we get 0.0084.
To summarize, all of the given numbers (a, b, c, and e) are equal to 0.0084 except for d, which doesn't have a specified value. Therefore, d is the number that is not equal to the others.
For more such questions on number, click on:
https://brainly.com/question/24644930
#SPJ8
PLEASE HELP!!!!
If angles P and Q are complementary, which statement about the two angles is true?
P and Q are opposite facing.
P and Q add up to 90°.
P and Q are always adjacent.
P and Q sum to 180°.
Answer:
P and Q add up to 90°.
Step-by-step explanation:
How do you find the surface area of an acute triangle?
The area of the acute triangle can be found by the formula: area of acute triangle = (1/2) × b × h.
According to Pythagoras theorem the triangle is termed as acutely angled if the square of its longest side is less than the sum of the squares of two other smaller sides. Let a, b, and c are the length of sides of a triangle, where side "a" is the longest, then the given triangle is acutely angled if and only if a^2 < b^2 + c^2.
The area of the acute triangle can be calculated by the formula:
area of acute triangle = (1/2) × b × h
b = base, and
h = height
You can learn more about acute triangle at
https://brainly.com/question/10753882
#SPJ4
A cube has a side length of 8 inches. What is the cube's volume in cubic inches?
Answer:
Step-by-step explanation:
The volume for a cube is
V = s * s * s or s^3
s = 8
V = 8 * 8 * 8
V = 512 cubic inches.
The space diagonal of a rectangular prism with integer unit dimensions is $13$ units. what is the volume of the rectangular prism in cubic units?
There are two possible volumes for the rectangular prism: 36 cubic units or 25 cubic units.
To find the volume of the rectangular prism with a space diagonal of 13 units and integer unit dimensions, we can follow these steps:
1. Recall that the space diagonal of a rectangular prism can be found using the Pythagorean theorem in 3D: d² = l² + w² + h², where d is the space diagonal, and l, w, and h are the length, width, and height of the prism.
2. Given that the space diagonal is 13 units, we have: 13² = l² + w² + h².
3. Since the dimensions are integers, we need to find the combination of l, w, and h that satisfies this equation. Possible combinations are: (2, 3, 6) and (1, 5, 5), as these are the only sets of integers that satisfy the equation.
4. Now, we can calculate the volume of the rectangular prism using the formula: Volume = l × w × h.
For the combination (2, 3, 6), the volume is: 2 × 3 × 6 = 36 cubic units.
For the combination (1, 5, 5), the volume is: 1 × 5 × 5 = 25 cubic units.
So, there are two possible volumes for the rectangular prism: 36 cubic units or 25 cubic units.
Learn more about "rectangular prism": https://brainly.com/question/24284033
#SPJ11
What are the 3 ways to write a linear equation?
The 3 ways to write a linear equation is Slope-Intercept Form, Point-Slope Form, Standard Form.
1. Slope-Intercept Form: This form of linear equation is written as y = mx + b, where m is the slope of the line, x is the independent variable, and b is the y-intercept. This form of the equation can be used to graph the line by finding the x-intercept and y-intercept.
2. Point-Slope Form: This form of linear equation is written as y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. This form of the equation can be used to graph the line by finding a second point on the line and connecting the two points.
3. Standard Form: This form of linear equation is written as ax + by = c, where a and b are not both 0, and c is a constant. This form of the equation can be used to graph the line by finding two points that satisfy the equation.
Learn more about Linear equation here :
https://brainly.com/question/11897796
#SPJ4
what type of angle is x??