The formula to find change in entropy is given by :
[tex] Change in entropy = \frac{Q}{T} [/tex]
where Q is change in heat and T is temperature.
We are given Q = 500 joule and T = 20 degree C
Plugging these values in the formula,
[tex] Change in entropy = \frac{500}{20} [/tex]
We get change in entropy = 25 J/Celsius.
Which matrix will always give a determinant of 0?
Answer:
the answer is D!
Step-by-step explanation:
The length of a rectangle is represented by (6x − 2), and the width is represented by (x − 1). Which expression best represents the perimeter of the rectangle? A) 14x − 6 B) − 8x + 2 C) 6x2 − 8x D) 6x2 − 8x + 2
Please literally anyone help
Given: g ∥ h and ∠2 ≅ ∠3
Prove: e ∥ f
Statements Reasons
1. g || h 1. given
2. ∠1 ≅ ∠2 2. corresponding angles theorme
3. ∠2 ≅ ∠3 3. given
4. ∠1 ≅ ∠3 4. transitive property
5. e || f 5. ?
What is the missing reason in the proof?
A. vertical angles theorem
B. alternate exterior angles theorem
C. converse corresponding angles theorem
D. converse alternate interior angles theorem
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
Given: g ∥ h and ∠2 ≅ ∠3
Statements Reasons
1. g || h 1. given
2. ∠1 ≅ ∠2 2.corresponding angles theorem
3. ∠2 ≅ ∠3 3. given
4. ∠1 ≅ ∠3 4. transitive property
5. e || f 5. Converse alternate interior angles.
As we know that if alternate angles are equal then two lines would be parallel using converse alternate interior angles.
Hence, Option 'D' is correct.
Answer:
d. converse alternate interior angles theorem
Step-by-step explanation:
Is it possible for a system to have more than one solution? Explain your answer
If the test scores of a class of 36 students have a mean of 75.2 and the test scores of another class of 28 students have a mean of 67.4, then the mean of the combined group is
The mean of the combined group is 71.78.
What is arithmetic mean?Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations.
Let the total sum of the scores of the first class of 36 students be ∑x.
Here, the mean is 75.2 .
⇒ ∑x/36 = 75.2
⇒ ∑x = (75.2)(36)
⇒ ∑x = 2707.2
Also, let the total sum of the scores of the second class of 28 students be ∑y.
Here, the mean is 67.4.
⇒ ∑y/28 = 67.4
⇒ ∑y = (67.4)(28)
⇒ ∑y = 1887.2
The total students in combined group = 36+28 =64
The sum of their scores = ∑x + ∑y = 2707.2 + 1887.2 = 4594.4
The mean of the combined group = (∑x + ∑y)/64
The mean of the combined group = 4594.4/64 = 71.78
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To find the mean of the combined group of two classes, calculate the total sum of scores of each class, combine them, and then divide by the total number of students. The mean of the combined group is approximately 71.8.
Explanation:To calculate the mean of the combined groups of students, you can use the total sum of scores from both classes divided by the total number of students. The first class has 36 students with a mean score of 75.2, and the second class has 28 students with a mean score of 67.4.
First, find the total sum of scores for each class:
Next, combine the total sums and the number of students:
Finally, divide the combined total sum by the combined number of students to find the mean:
Mean of combined group = 4594.4 / 64 = 71.7875
Therefore, the mean of the combined group is approximately 71.8.
There are 8 hamsters at crazy Pete pet shop that are completely brown the rest of the hamsters at the shop are mixed colors that ate brown hamsters represent 2/5 of the total Number of hamsters at the pet shop right and solve an equation using the variable H to find the total number of hamsters at the pet shop
The farmer originally planted 15 apple trees.
Let's denote the original number of rows as [tex]\( r \)[/tex] and the original number of columns as [tex]\( c \).[/tex]
In the original arrangement, the total number of trees is [tex]\( r \times c \).[/tex]
If 5 more rows and 3 fewer columns are added, the new number of rows becomes [tex]\( r + 5 \)[/tex] and the new number of columns becomes [tex]\( c - 3 \).[/tex]
According to the given information, the new arrangement has 25 more trees than the original arrangement. So, we can set up the equation:
[tex]\[ (r + 5) \times (c - 3) = r \times c + 25 \][/tex]
Expanding the left side:
[tex]\[ r \times c + 5r - 3c - 15 = r \times c + 25 \][/tex]
Now, let's simplify:
[tex]\[ 5r - 3c - 15 = 25 \][/tex]
[tex]\[ 5r - 3c = 40 \][/tex]
Now, let's solve this equation to find the relationship between [tex]\( r \)[/tex] and [tex]\( c \).[/tex]
Given the information, let's make some assumptions about the number of rows and columns to fit the situation realistically.
Let's start with 1 row and 3 columns ( [tex]\( r = 1, c = 3 \)[/tex] ):
[tex]\[ 5(1) - 3(3) = 5 - 9 = -4 \][/tex]
It doesn't satisfy the condition.
Next, let's try 2 rows and 4 columns ( [tex]\( r = 2, c = 4 \)[/tex] ):
[tex]\[ 5(2) - 3(4) = 10 - 12 = -2 \][/tex]
Still doesn't satisfy the condition.
Next, let's try 3 rows and 5 columns ( [tex]\( r = 3, c = 5 \)[/tex] ):
[tex]\[ 5(3) - 3(5) = 15 - 15 = 0 \][/tex]
This satisfies the condition.
So, the original arrangement had 3 rows and 5 columns, and the total number of trees is [tex]\( 3 \times 5 = 15 \)[/tex].
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A research organization recently issued a statement suggesting that 80% of American voters are dissatisfied with the work of Congress. You designed a simulation to generate sample data to reflect this proportion. An automated random number sample program is used that has a sample of size 50, is run 100 times, and uses the numbers 1 through 16 to represent dissatisfied voters and the numbers 17 through 20 to represent satisfied voters. The dot plot below represents the outcome of the simulation, with the margin of error displayed.
Dot plot titled Simulation of 80 percent Dissatisfaction with Congress with x axis labeled Number of Yeses in Sample of 20 and ranges from 33 to 48 and y axis labeled Frequency ranges from 0 to 20. The sample size is 50 and the number of trials is 100. The mean is shown to fall somewhere between 39 and 40 on x axis and margin of error is represented with vertical lines on either side of the mean, one at approximately x equals 38 and one half and the other at approximately x equals 40 and one half. There are three dots arranged vertically from 35,1 to 35,3 and six dots arranged vertically from 36,1 to 36,6 and four dots arranged vertically from 37,1 to 37,4 and fifteen dots arranged vertically from 38,1 to 38,15 and nineteen dots arranged vertically from 39,1 to 39,19 and eighteen dots arranged vertically from 40,1 to 40,18 and ten dots arranged vertically from 41,1 to 41,10 and thirteen dots arranged vertically from 42,1 to 42,13 and seven dots arranged vertically from 43,1 to 43,7 and two dots arranged vertically from 44,1 to 44,2 and two dots arranged vertically from 45,1 to 45,2 and one dot at 46,1.
Using the data from this simulation, what is the sample mean (rounded to the nearest tenth), x bar comma and approximately what proportion of voters are dissatisfied?
x bar equals 39.6 and approximately 79.2% of voters are dissatisfied with Congress
x bar equals 39.8 and approximately 79.6% of voters are dissatisfied with Congress
x bar equals 39.9 and approximately 79.8% of voters are dissatisfied with Congress
x bar equals 40.0 and approximately 80.0% of voters are dissatisfied with Congress
How do you write 50% as a fraction or whole number in simplest form?
Two thirds of the employees at an office stated that they preferred soft cookies over crispy cookies. More than 36 employees stated their preference. Ren was asked to write, solve, and graph an inequality to find the number of employees working at the office. His work is shown below.
Answer:
Step 3 is wrong, he used the wrong circle
Step-by-step explanation:
To determine the minimum number of employees, solve the inequality 2/3 x > 36 to find x > 54. In Miguel's cookie choice, the events are dependent. According to the law of large numbers, probabilities stabilize as the number of trials increases.
Explanation:The question involves solving and graphing an inequality to find the minimum number of employees in an office based on their preferences for soft cookies. Since two thirds prefer soft cookies and more than 36 employees stated their preference, we can write this as an inequality where x represents the total number of employees: 2/3 x > 36. To solve for x, we multiply both sides of the inequality by 3/2, giving us x > 54. This tells us that there must be more than 54 employees in the office.
To graph the inequality, we would draw a number line, plot a point just above 54, and shade to the right to indicate all the numbers that are greater than 54. The question of dependent probabilities relates to Miguel's cookie selection where each choice affects the next; the events are not independent. Finally, the law of large numbers indicates that as the number of trials n increases, the experimental probabilities tend to get closer to the theoretical probabilities.
A clown needed 275 balloons for a party he was going to, but the balloons only came in packs of 2.How many packs of balloons does he need to buy?
Final answer:
To provide 275 balloons when they are sold in packs of 2, the clown will need to purchase 138 packs, which will include one extra balloon as you cannot buy half a pack.
Explanation:
The clown needs 275 balloons for a party and they come in packs of 2. To find out how many packs of balloons the clown needs to buy, one must divide the total number of balloons by the number in each pack.
The calculation is as follows:
Number of packs = Total balloons ÷ Balloons per packNumber of packs = 275 ÷ 2Number of packs = 137.5Since packs cannot be purchased in halves, the clown will need to buy 138 packs to have enough balloons, understanding that this means having one extra balloon.
Find 5% of $43.79. $218.95 $2.19 $21.90 $2,189.50
Which pair of expressions is equivalent for any variable value greater than zero?
Answer:
D. b+b+3c and 2b+3c
Step-by-step explanation:
The question wants us to find out expressions is equivalent for any variable value greater than zero. So let's analyse all the possible answers to find the correct one.
A. (x+3) and 3x+ 2
If x = 1 , we have:
(x+3) = 4 3x+2 = 5Both of the two sides are not equivalent
B. 4d+2e and 8d+e
If e=1 and d=1, we have:
4d+2e = 88d+e = 9Both of the two sides are not equivalent
C. f+f+f+g and 3fg
If f=1 and g=1, we have:
f+f+f+g = 43fg = 3Both of the two sides are not equivalent
D. b+b+3c and 2b+3c
If b=1 and c=1, we have:
b+b+3c = 52b+3c = 5Both of the two sides are equivalent
Or we will simplify the left side: b+b+3c = 2b+3c, hence 2b+3c = 2b+3c are apparent
So we choose D.
The rocks near the shore between two lighthouses at points A and B make the waters unsafe. The measure of arcAXB is 300. Waters inside this arc are unsafe. Suppose you are a navigator on a ship at sea. How can you use the lighthouses to keep the ship in safe waters?
A ship's navigator can keep the ship in safe waters by staying outside the 300-degree arc between two lighthouses and using the beams as navigational guides. Additionally, in areas with water breaks, navigators should account for wave diffraction to determine the safest angles for mooring.
Explanation:To navigate safely and avoid the unsafe waters near the coastline marked by the 300-degree arc between two lighthouses at points A and B, a ship's navigator should use both lighthouses as reference points for establishing a safe navigational path. Typically, lighthouses are equipped with rotating beams, which can serve as a guide to determine a ship's position relative to hazardous areas. If the ship maintains a course outside of the direct line of sight between the two lighthouses, it can stay within the safe waters.
The navigator should also consider wave action when near a coastline or harbor entrance. If any breakwater structure or water break exists, such as a rock barrier with an opening, the navigator would need to be mindful of the wave patterns. As waves enter the opening, they diffract, and boats are generally safest at angles where the wave intensity is minimized.
Dalia is installing a tile floor in a rectangular room. Dalia has 152152152 tiles available to tile the room. If each row requires 9\large\frac{1}{2}9 2 1 9, start fraction, 1, divided by, 2, end fraction tiles, and 191919 tiles break while Dalia is laying the floor, how many full rows of unbroken tile can she install before running out of tiles?
The perimeter of a rectangular garden is 102 meters. the length is 6 meters longer than twice the width. find the dimensions of the garden.
Final answer:
The width of the garden is 15 meters and the length is 36 meters.
Explanation:
To solve this problem, we can use the formulas for perimeter and length. Let's assume that the width of the rectangular garden is x.
According to the given information, the length is 6 meters longer than twice the width, so the length can be represented as 2x + 6.
The perimeter is the sum of all four sides of the rectangle, which is given as 102 meters. We can set up the equation:
2(2x + 6) + 2x = 102
Simplifying the equation, we get:
6x + 12 = 102
6x = 90
x = 15
Therefore, the width of the garden is 15 meters and the length is 2(15) + 6 = 36 meters.
Help me please !!!!!!!
Sandy is observing the velocity of a runner at different times.
After one hour, the velocity of the runner is 4 km/h. After two hours, the velocity of the runner is 2 km/h. Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the runner at different times. Show your work and define the variables used. Part B: How can you graph the equations obtained in Part A for the first 4 hours?
Use the given times and velocities to make two points: (1,4) and (2,2)
Part A:
Slope is the change in Y over the change in X from the two pints you made:
Slope = (2-4) / (2-1 )= -2
Now you have the slope, calculate the Y-intercept
y = -2x + b
Using (1,4)
4 = -2(1) + b = 4 =-2 +b. b = 6
Equation is: y = -2x+6
Part B:
using the above equation replace x with 1, 2, 3, and 4 and solve for the Y
then plot those onto a graph
Factor completely x^2 − 36.
(x + 6)(x − 6)
(x + 6)(x + 6)
(x − 6)(x − 6)
Prime
ANSWER
[tex] (x + 6)(x - 6)[/tex]
EXPLANATION
The given expression is
[tex] {x}^{2} - 36[/tex]
We write to obtain;
[tex] {x}^{2} - {6}^{2} [/tex]
Recall that;
[tex] {a}^{2} - {b}^{2} = (a - b)(a + b)[/tex]
We apply this difference of squares formula to get;
[tex]{x}^{2} - {6}^{2} = (x - 6)(x + 6)[/tex]
The correct choice is A
Answer:
(x+6)(x-6)
Step-by-step explanation:
Identify three of the key terms from the video. Check the boxes next to three words.
brain
mouse
consciousness
memory
definition
Answer:
brain
consciousness
memory
Find the dimensions of a rectangle with a perimeter of 72 cm if the length is 8 cm less than three times the width.
Which economic system is friendliest to entrepreneurs?
a.socialismb.communismc.capitalismd.They are all equally accepting, since entrepreneurship relies on the individual.
Answer:
The answer is capitalism.
Step-by-step explanation:
Capitalism is friendliest to entrepreneurs and market economies also rely on capitalism. This is because capitalism and free enterprise helps to create a marketplace where producers and consumers are free to sell and buy what they choose.
how do you do the elimination method? Example: -8+6y=2;16x-3y= -13
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You are choosing between two different cell phone plans. the first plan charges a rate of 25 cents per minute. the second plan charges a monthly fee of $49.95 plus 10 cents per minute. how many minutes would you have to use in a month in order for the second plan to be preferable
If a, b, c, and d are four different numbers and the proportion a/b = c/d is true, which of the following is false?
In the proportion a/b = c/d, if this is true then the product of the extremes (a*d) is equal to the product of the means (b*c). Any statement that contradicts this property is considered false.
Explanation:Looking at the given condition, a/b = c/d, it represents a proportion or a statement of equality between two fractions. Within this proportion, `a` and `d` are referred to as the extremes, while `b` and `c` are known as the means.
If the proportion is true, meaning it accurately reflects a relationship of equality between two ratios, several properties become applicable. Importantly, the product of the means equals the product of the extremes. In other words, in a valid proportion, `a*d` is equal to `b*c`.
Consequently, if any statement contradicts these properties, it is false. So, without knowing the specific statements to analyze here, we cannot accurately decide on the false one. Always remember, you need to comply with the stated properties of a proportion in mathematical contexts.
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The pentagon in Washington DC is immense in size, with each outside wall 921 feet in length. What is the perimeter of the pentagon?
Solve P=hr(1-d) for d
To solve the given equation [tex] P=hr(1-d) [/tex]
By using the distributive property "a(b+c)=ab+ac"
[tex] P=hr-hrd [/tex]
[tex] hrd=hr-P [/tex]
[tex] d=\frac{hr-P}{hr} [/tex]
[tex] d=1-\frac{P}{hr} [/tex]
Therefore, [tex] d=1-\frac{P}{hr} [/tex] is the value of 'd'.
In this box-and-whisker plot, what is the median value of the data?
A. 48
B. 53
C. 56
D. 58
Emma took a taxi from the airport to her house. She paid a flat fee of $5$5 plus $3.70 per mile. The fare came to $42. For Emma's taxi ride, which equation gives the correct distance (
d.d in miles?
Answer:
5+3.7⋅d=42
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Simplify by using fractional exponents.
[tex] \sqrt{mn}[/tex]
Riley is saving up to buy a new television. She needs a total of $1,142.58. Riley has saved $200.82 already and earns $78.48 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television?
A.
10
B.
13
C.
11
D.
12