The temperature of a city changed by a total of −20 degrees Celsius over a 4-week period. The temperature changed by the same amount each week.
Answers
Based on the change in the temperature of the city over the 4-week period, the expression to show the average change in temperature each week is -20 / 4
When the expression is simplified, the result if -5°C which means that the temperature reduced by 5°C every week.
What was the temperature change?The average temperature change of the city each week can be found by:
= Total change in temperature / Number of weeks
Solving gives:
= -20 / 4
= -5°C
This means each week for the 4-week period, the temperature of the city decreased by 5°C.
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Related Questions
What is called angle?.
Answers
When two rays intersect an angle is created, As different classification of angles are there on the basis of measurement of angles and on the basis of properties of angles.
What is definition of term "Angle" ?When two rays or straight lines intersect at one of their ends, an angle is created. Vertex of an angle refers to the point at which two points meet. The Latin word "angulus," which means "corner," is the origin of the English term "angle."
Symbol of Angle
The symbol ∠ represents an angle. Angles are measured in the form of degrees (°) using a protractor.
For example, 45 degrees is represented as 45°
Sections of Angles
A vertex is also the corner of an angle or at the place where two lines or sides come together to intersect at the point. In the above figure, O is the vertex.Arms: The angle's two sides which are connected at a single terminal. An angle's OA and OB are its arms.Initial Side: Also known to as the reference line, this is the first side of the angle that is to be drawn. The reference line is called OB.Terminal Side: The side that the angle measured is performed up to. OA is the terminal side.Types of Angles
Based on their measurements, here are the many types of angles:
An acute angle that measures less than 90° at the vertex of the lines.An obtuse angle measured between 90° to 180°.A right angle is exactly measures 90° at the vertex.An angle measuring precisely 180° is called a straight angle.A reflex angle is measured between 180°- 360°.A complete angle is measured is equal 360°.Interior and Exterior Angles:
Interior angles: Interior Angles are angle formed inside the shape.
Exterior angles: Exterior angles are to be angles that is formed outside a shape, between any side of shape and to an extended adjacent side.
Complementary and Supplementary Angles:
Complementary angles: Angles that add up to 90° (a right angle) are called complementary angles.
Supplementary angles: Angles that add up to 180° (a straight angle) are called supplementary angles.
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[33] the score on a trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers. if a player answered 40 questions and obtained a score of 50, how many questions did the player answer correctly?
Answers
We know that the score is obtained by subtracting the number of incorrect answers from twice the number of correct answers. Let's use "x" to represent the number of correct answers.
According to the question, the player answered 40 questions in total. This means that the number of incorrect answers is 40 - x.
Now we can use the formula for the score:
Score = 2x - (40 - x)
We also know that the player obtained a score of 50. So we can set up the equation:
50 = 2x - (40 - x)
Simplifying the equation:
50 = 3x - 40
90 = 3x
x = 30
Therefore, the player answered 30 questions correctly.
To check, we can plug this value back into the formula for the score:
Score = 2x - (40 - x)
Score = 2(30) - (40 - 30)
Score = 60 - 10
Score = 50
So the score of 50 is correct and the player answered 30 questions correctly.
To find out how many questions the player answered correctly in the trivia game with a score of 50, we can use the given information to set up an equation:
Let x be the number of correct answers and y be the number of incorrect answers. According to the question, the score is calculated by subtracting the number of incorrect answers (y) from twice the number of correct answers (2x). The player answered 40 questions in total, so we have:
x + y = 40
2x - y = 50
Now we can solve this system of equations step-by-step:
1. Solve the first equation for x:
x = 40 - y
2. Substitute this expression for x in the second equation:
2(40 - y) - y = 50
3. Simplify the equation:
80 - 2y - y = 50
4. Combine like terms:
80 - 3y = 50
5. Subtract 80 from both sides:
-3y = -30
6. Divide both sides by -3:
y = 10
7. Substitute the value of y back into the expression for x:
x = 40 - 10
x = 30
The player answered 30 questions correctly in the trivia game with a score of 50.
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What is the exact value
Answers
Find m/TRS if m/1 = 2x + 4 and
m/2= 3x - 3.
T
P
S
1
R
Answers
If the angles are ∠1 = 2x + 4 and ∠2 = 3x - 3, then m∠TRS = 36°.
What is an angle?
An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.
The measure of ∠1 = 2x + 4
The measure of ∠2 = 3x - 3
The measure of ∠TRS is -
∠TRS = ∠1 + ∠2
Since, PR is a bisector then ∠1 = ∠2.
The equation is -
2x + 4 = 3x - 3
2x - 3x = - 3 - 4
-x = -7
x = 7
Substitute the value of x in the angles -
∠1 = 2(7) + 4
∠1 = 14 + 4
∠1 = 18°
∠2 = 3(7) - 3
∠2 = 21 - 3
∠2 = 18°
So, the value of ∠TRS is -
∠1 + ∠2
18° + 18°
36°
Therefore, the measure of ∠TRS is 36°.
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You start at (3, 8). You move right 6 units and left 4 units. Where do you end?
Answers
Answer:
(9,12) I think
Step-by-step explanation:
use part 1 of the fundamental theorem of calculus to find the derivative of the function h(x) = ∫ex-1 lnt dt
Answers
By using the fundamental theorem of calculus, the derivative of the given function h(x) = ∫\(e^{x-1}\) ln(t) dt is obtained as \(e^{x-1}\) (ln(t) + 1/t).
To find the derivative of the function h(x) = ∫\(e^{x-1}\) ln(t) dt using Part 1 of the Fundamental Theorem of Calculus, we first need to rewrite the integral in terms of x.
Let's define a new variable u = \(e^{x-1}\) ln(t).
Then, we have du/dx = d(\(e^{x-1}\) ln(t))/dx.
Now, we can rewrite the integral as ∫ du/dx dx = ∫ du.
Since du/dx = d(\(e^{x-1}\) ln(t))/dx, we can differentiate the expression ex-1 lnt with respect to x to find du/dx.
Applying the chain rule, we have:
du/dx = d(\(e^{x-1}\) ln(t))/dx = d(\(e^{x-1}\))/dx × ln(t) + \(e^{x-1}\) × d(lnt)/dx.
The derivative of ex-1 with respect to x is simply (\(e^{x-1}\))' = \(e^{x-1}\), and the derivative of ln(t) with respect to x is (ln(t))' = 1/t.
Substituting these derivatives back into the equation, we have:
du/dx = \(e^{x-1}\) × ln(t) + \(e^{x-1}\) × (1/t).
Now, we can simplify the expression:
du/dx = \(e^{x-1}\) (ln(t) + 1/t).
Finally, we can rewrite the integral with the simplified expression:
∫ du = ∫ \(e^{x-1}\) (ln(t) + 1/t) dx.
Thus, the derivative of h(x) = ∫\(e^{x-1}\) ln(t) dt is \(e^{x-1}\) (ln(t) + 1/t).
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the distribution of the commute times for the employees at a large company has mean 22.4 minutes and standard deviation 6.8 minutes. a random sample of n employees will be selected and their commute times will be recorded. what is true about the sampling distribution of the sample mean as n increases from 2 to 10 ? responses the mean increases, and the variance increases. the mean increases, and the variance increases. the mean increases, and the variance decreases. the mean increases, and the variance decreases. the mean does not change, and the variance does not change. the mean does not change, and the variance does not change. the mean does not change, and the variance increases. the mean does not change, and the variance increases. the mean does not change, and the variance decreases.
Answers
As n increases from 2 to 10, the mean of the sampling hdistribution of the sample mean will increase, while the variance and standard error of the mean will decrease.
As n increases from 2 to 10, the sampling distribution of the sample mean will shift towards the population mean of 22.4 minutes. This is because as n increases, the sample mean becomes a better estimate of the population mean. Therefore, the mean of the sampling distribution will increase.
However, the variance of the sampling distribution will decrease as n increases. This is because the larger the sample size, the more representative the sample is of the population, and thus the less variability there is in the sample means. Therefore, the variance of the sampling distribution will decrease.
It is important to note that the standard error of the mean, which is the standard deviation of the sampling distribution, will also decrease as n increases. This means that as the sample size increases, the sample mean becomes a more precise estimate of the population mean.
In summary, as n increases from 2 to 10, the mean of the sampling distribution of the sample mean will increase, while the variance and standard error of the mean will decrease.
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Find the midpoint of the segment with the endpoints:(1, 7) and (9,0)
Answers
Answer:
The midpoint is (5,3.5)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2
( 1+9)/2 = 10/2 =5
To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2
( 7+0)/2 = 7/2 =3.5
The midpoint is (5,3.5)
Find the value of x, y and z
Answers
The measure of angle x, y and w in the parallelogram are 127 degrees, 53 degrees and 53 degrees respectively.
What is the value of angle x, y and z?The figure in the image is that of a parallelogram.
First, we determine the value angle w:
Note that: sum of angles on straight line equal 180 degrees.
Hence:
w + 53 = 180
w + 53 - 53 = 180 - 53
w = 180 - 53
w = 127°
Also note that: opposite angles of parallelogram are equal and consecutive angles in a parallelogram are supplementary.
Hence:
Angle w = angle x
127° = x
x = 127°
Since consecutive angles in a parallelogram are supplementary.
x + y = 180
127 + y = 180
y = 180 - 127
y = 53°
Opposite angle of parallelogram are equal:
Angle y = angle z
53 = z
z = 53°
Therefore, the measure of angle z is 53 degrees.
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A telephone poll asked people whether they like playing golf. Of the 9,000 people polled, 48% like playing golf. How many people said they like playing golf?
Answers
4,320 people said they like playing golf out of the 9,000 people who were polled.
The number of people who like playing golf from a telephone poll, we first need to understand what the poll results are telling us.
The poll asked 9,000 people whether they like playing golf or not.
The response options were likely binary (yes/no) and 48% of the people who responded to the poll said that they like playing golf.
To find out how many people said they like playing golf, we can use the percentage of respondents who said "yes" and multiply it by the total number of people who were polled.
We know that 48% of the 9,000 people polled like playing golf.
To calculate the number of people who like playing golf, we can multiply:
0.48 x 9,000 = 4,320
A telephone poll is a type of survey that can help gather data about a particular population or group of people.
It is not a perfect method and there may be limitations to the results, such as potential response biases or limitations in sample size.
It is also possible that the percentage of people who like playing golf in the larger population could be different than the percentage observed in the poll.
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If h(x) is the inverse of f(x), what is the value of h(f(x))?
0
1
x
f(x)
Answers
Answer: x
Step-by-step explanation:
The inverse undos any changes to x, reversing those changes will leave x. Ex: f(x)=x+2. The inverse (from replacing x with y and y with x and solving for y) is h(x)=x-2. Plugging x+2 into h(x) (composition of functions) results in x. 2 and -2 cancel out.
Answer:
C
Step-by-step explanation:
on edge
PLEASE answer as soon as possible! I will mark as BRAINLIEST!!! :)
Answers
Answer:
9y(3y+2)
Step-by-step explanation:
when peers at work offer suggestions to correct a weakness a person should
Answers
When peers at work offer suggestions to correct a weakness, it is important for the person to respond in a thoughtful and constructive manner.
Here are some guidelines for effectively addressing such suggestions:
Listen and be open-minded: Actively listen to the suggestions without becoming defensive or dismissive. Remember that your peers are offering their perspectives to help you improve. Keep an open mind and be willing to consider their viewpoints.
Express gratitude: Appreciate the effort and willingness of your peers to provide feedback. Thank them for their suggestions and acknowledge their input. Demonstrating gratitude fosters a positive and collaborative work environment.
Seek clarification, if needed: If you need further clarification on any of the suggestions, ask your peers for more information. This shows your commitment to understanding their feedback and ensures you can address the weakness effectively.
Reflect on the feedback: Take some time to reflect on the suggestions offered. Evaluate their validity and consider whether they align with your own self-assessment. Honest self-reflection is crucial in recognizing and addressing weaknesses.
Develop an action plan: Once you have understood the suggestions and reflected on them, create an action plan to address the weakness. Break down the steps you need to take to improve and set realistic goals for yourself. This proactive approach demonstrates your commitment to personal growth and professional development.
Seek support if necessary: If you require additional resources or assistance to address the weakness, don't hesitate to ask for help. Reach out to mentors, supervisors, or relevant professionals who can provide guidance or training. Collaborating with others can accelerate your progress in overcoming the weakness.
Communicate progress: Keep your peers informed about the steps you are taking to improve. Sharing your progress demonstrates your commitment to growth and allows them to see your efforts. It also encourages ongoing support and accountability from your colleagues.
Show resilience: Addressing weaknesses takes time and effort. Be prepared for setbacks and challenges along the way. Stay resilient and maintain a positive mindset, focusing on continuous improvement rather than being discouraged by temporary obstacles.
Remember, accepting and addressing weaknesses is a part of personal and professional growth. Embrace the feedback from your peers as an opportunity to enhance your skills and become a stronger professional.
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can you help me please
Answers
Answer:
151.4496 cm^2 is the area
Which equation represents the line that is parallel to y= 3 and passes through (-2,-8)?
A.x = -2
B.x= 3
C.y=-8
D. y= 3x - 2
Answers
Answer:
Now, as you might recall, two lines are parallel when they are always the same distance apart and never intersect. y= -8 is parallel to y=3 and it passes through the point (-2, -8). The equation of this line is y= -8.
Step-by-step explanation:
ASAP PLSSSS Read the paragraphs. How has Ruthie's point of view changed by the
end of the story?
kin' on
ton.m
Answers
Answer:
D
Step-by-step explanation:
find an equation of the plane. the plane through the points (0, 6, 6), (6, 0, 6), and (6, 6, 0)
Answers
The equation of the plane passing through the points \((0, 6, 6), (6, 0, 6), and (6, 6, 0)\) is \(36x + 36y + 36z = 432\).
To find the equation of the plane passing through the points \((0, 6, 6), (6, 0, 6), and (6, 6, 0)\), we can use the point-normal form of the equation of a plane.
Step 1: Find two vectors in the plane.
Let's find two vectors by taking the differences between the given points:
Vector v₁ = \((6, 0, 6) - (0, 6, 6) = (6, -6, 0)\)
Vector v₂ = \((6, 6, 0) - (0, 6, 6) = (6, 0, -6)\)
Step 2: Find the normal vector.
The normal vector is perpendicular to both v₁ and v₂. We can find it by taking their cross product:
Normal vector n = v₁ \(\times\) v₂ = \((6, -6, 0) \times (6, 0, -6) = (36, 36, 36)\)
Step 3: Write the equation of the plane.
Using the point-normal form, we can choose any point on the plane (let's use the first given point, \((0, 6, 6)\)), and write the equation as:
n · (x, y, z) = n · (0, 6, 6)
Step 4: Simplify the equation.
Substituting the values of n and the chosen point, we have:
(36, 36, 36) · (x, y, z) = (36, 36, 36) · (0, 6, 6)
Simplifying further:
\(36x + 36y + 36z = 0 + 216 + 216\\36x + 36y + 36z = 432\)
Therefore, the equation of the plane passing through the given points is:
\(36x + 36y + 36z = 432\)
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a group of n people plays a game. each person puts their name on a slip of paper in a hat, and then picks a name randomly from the hat (without replacement). what is the standard ceviation of the number x of people who pick their own name (assume n≥2)?
Answers
Given that each individual has a \(\frac{1}{n}\) chance of receiving their own name, we may indicate whether or not person I received their own name by using a sequence of n identically distributed Bernoulli random variables with
\(P=\frac{1}{n}\) .
The total number of people who received their own name is the sum of these Bernoullis. The linearity of expectation causes the expected value of the sum to equal the sum of their respective expected values.
Since each summand has expected value \(\frac{1}{n}\) and there are n of them, the expected value is one.
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how to simplify 5(-9x+15) into an expression
Answers
Answer:
-45x + 75
Step-by-step explanation:
5(-9x + 15) Use distributive property
= (5 * -9x) + (5 * 15)
= -45x + 75
Hope this helps!
Answer:
-45x + 75
Step-by-step explanation:
5(-9x + 15)
Distribute:
(5* -9x) + (5* 15)
-45x + 75
Hi, can you help me to solve this problem, please !!!
Answers
Remember that
The y-intercept is the value of y when the value of x=0
In this problem
we have the equation
y=7x^2+4
For x=0
substitute
y=7(0)^2+4
y=4
the y-intercept is (0,4)x+(3x+10-4)+(3x+ 10)=72
Answers
x+(3x+10-4)+(3x+ 10)=72
Quit parenthesis:
x+3x+10-4+3x+10=72
Combine like terms:
x+3x+3x+10-4+10=72
7x +16 =72
Subtract 16 from both sides of the equation:
7x+16-16 = 72-16
7x= 56
Finally divide both sides by 7:
7x/7 =56/7
x= 8
You lose 4 points each time you
attend gym class without tennis
shoes. You forget your tennis
shoes 6 times. What integer
represents the change in your
points?
Answers
Anybody want to help with math?
10 + 23 / (4 + 1 + 10) - 200 + 365
Ty :)
Answers
Answer:
176.53
Step-by-step explanation:
All i didnwas just solve the math on paper and u could use a caculator
Answer:
33/-550
Step-by-step explanation:
Add
Hope it help
Use this utility function:
a(f, g) = 2√f + g
The price of good f is 2 and the price of good g is 1.
a) Calculate the optimal consumption bundle when income is 3/4
b) Calculate the optimal consumption bundle when income is 1/4
Answers
A consumer's optimal consumption bundle represents the best possible combination of goods and services that a consumer can purchase given their budget constraint and the prices of those goods. In this scenario, the utility function given is a(f, g) = 2√f + g
The price of good f is 2 and the price of good g is 1.
The consumer's income is 3/4 and 1/4 respectively. Using these, we can solve for the optimal consumption bundle for the consumer using the utility function.
a) To calculate the optimal consumption bundle when the income is 3/4, we can use the following method:
Let the optimal consumption bundle be represented as (x, y).
Here, x represents the quantity of good f consumed, and y represents the quantity of good g consumed.
The consumer's budget constraint can be given as follows:
2x + y = 3/4
The consumer's goal is to maximize their utility, which can be represented as:
a(f, g) = 2√f + g = 2√x + y
The consumer's optimization problem can be represented as follows:
Maximize 2√x + y subject to 2x + y = 3/4
To solve this optimization problem, we can use the Lagrangian function:
L(x, y, λ) = 2√x + y - λ(2x + y - 3/4)
To find the optimal consumption bundle, we must solve for the following set of equations:
∂L/∂x = 0,
∂L/∂y = 0, and
∂L/∂λ = 0
Solving for the first two equations yields the following:
x/√x = λ2y - λ
= 1
The third equation can be used to solve for λ:
2x + y - 3/4 = 0
Solving for x and y using the first two equations and the value of λ yields:
x = 1/2 and y = 1/4
Therefore, the optimal consumption bundle is (1/2, 1/4)
b) To calculate the optimal consumption bundle when the income is 1/4, we can use a similar method to the one used in part a.
Using the same budget constraint of 2x + y = 1/4 and the same utility function of 2√x + y, we can solve for the optimal consumption bundle by using the Lagrangian function L(x, y, λ) = 2√x + y - λ(2x + y - 1/4).
Solving for the same set of equations, we get:
x = 1/8 and y = 0
Therefore, the optimal consumption bundle is (1/8, 0)
Utility functions are mathematical representations of the satisfaction a consumer derives from consuming goods and services. A consumer's optimal consumption bundle represents the best possible combination of goods and services that a consumer can purchase given their budget constraint and the prices of those goods.In this question, we were given a specific utility function and the prices of two goods. We used this information to solve for the optimal consumption bundle when the consumer's income was 3/4 and 1/4 respectively.To solve for the optimal consumption bundle, we used the Lagrangian method to optimize the consumer's utility function subject to their budget constraint. The Lagrangian method involves creating a Lagrangian function that includes the consumer's utility function and their budget constraint. We then solve for the first-order conditions of the Lagrangian function, which are a set of equations that yield the optimal values of the goods consumed.This method is useful for solving for optimal consumption bundles because it takes into account both the consumer's preferences and their budget constraint. By solving for the optimal consumption bundle, we can determine how much of each good the consumer should consume to maximize their satisfaction given their budget constraint
Utility functions and optimal consumption bundles are important concepts in microeconomics. They allow us to understand how consumers make choices and how they allocate their resources. By solving for the optimal consumption bundle, we can determine the best combination of goods and services that a consumer can purchase given their budget constraint and the prices of those goods.
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please show steps on how to do this
Answers
Find the value of the variable x. If your answer is not an integer, write it in simplest radical form with
the denominator rationalized h
Answers
The value of the variables y and z are 18
How to determine the value of the variablesFrom the question, we have the following parameters that can be used in our computation:
The special right triangle
The special right triangle has one of its angles to be 45 degrees
This means that
Legs = Hypotenuse/√2
Using the above as a guide, we have the following:
Legs = 18√2/√2
Evaluate
Legs = 18
Hence, the value of y and z are 18
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A recipe calls for 13/4 cups of flour. If the recipe is tripled, how much flour is needed?
Answers
Answer:
39/4 or 9 and 3/4
Step-by-step explanation:
multiply the numerator by 3 over 1
xoxo, your highness...Water flows through an insulated nozzle entering at 0.5 bar, 200°C and a speed of 10 m/s. The output stream flows as a saturated mixture at 2 bars and a speed of 1500 m/s. The change in potential energy between inlet and outlet can be neglected. a. Determine the phase description of the inlet stream. Explain how you found it. (4 marks) b. What is the enthalpy of the inlet stream? Value and units i (4 marks) c. Determine the quality of the water in the output stream. Give your answer to 3 significant digits.
Answers
The quality of the water in the output stream is 0.882, which can be rounded to 3 significant figures as 0.88.
a. Phase description of inlet stream
The given state of the inlet stream can be identified using the Mollier diagram.
The inlet pressure of water is 0.5 bar, and the temperature is 200°C. It is established that water is a superheated vapor because its pressure and temperature do not correspond to the saturation state.
b. Enthalpy of inlet stream
Using the Mollier diagram, we can determine the enthalpy of the inlet stream as follows:
At the inlet state, enthalpy = 3359 kJ/kgc.
c. Quality of water in output stream
We can determine the quality of the water in the output stream using the following formula:
Quality (x) = (h2s - h1) / (h2s - h2f)
The values of h2s and h2f, the enthalpies of the saturated mixture at 2 bar, can be obtained using the Mollier chart.
h2f = 168 kJ/kgc, and h2s = 2916 kJ/kgc.
Quality (x) = (2916 - 3359) / (2916 - 168) = 0.882
Therefore, the quality of the water in the output stream is 0.882, which can be rounded to 3 significant figures as 0.88.
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what is the approximate side length of a square game board with and area of 188 in. squared.
Answers
Answer:
Side length of a square game board is
11.916
inches.
Explanation:
If the area is
142
∈
2
, as area is square of side length of a square,
Side length is
√
142
=
11.916
inches.
Step-by-step explanation:
Answer:
13.7 inches
Step-by-step explanation
Area = base*height
(since it's a square, the lengths of all four sides of the board are equal. therefore, we can write the equation above like the following)
Area of square = side length^2
(square root both sides of the equation, and you get the following)
\(\sqrt{Area\\}\) = side length
(now, substitute the info)
\(\sqrt{188\\}\) = x
(solve)
x = 13.7 inches
The length of each side of an equilateral triangle is 4 cm longer than the length of each side of a square. If the perimeter of these two shapes is the same, find the area of the square.
Answers
The area of the square is 144 \(cm^{2}\).
Let x be the side of the square. Then the length of the triangle is (x+4). Perimeter is the length of all sides of a geometric figure combined. For an equilateral triangle, it's equal to thrice the length of one side. For a square, it's four times the length of one side. The Perimeter of the Triangle is 3(x+4) & the Perimeter of the square is 4x.
We know, both these perimeters are equal. Hence,
4x = 3(x+4)
To further simplify the above equation.
4x = 3x + 12
x = 12
Hence, the length of one side of the square is 12 cm. The area of the square can be calculated as follows:
Area = \((side)^{2}\)
Area = 12 * 12
Area = 144 \(cm^{2}\)
Hence, the Area of the Square is 144 \(cm^{2}\)
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