Write the algebraic expression that represents the following: Forty more than a number
Answers
Answer:
x+40
Step-by-step explanation:
Let's say the the "number" is x.
"Forty more than a number" would be x+40
\(\Large\texttt{Answer}\)
\(\bold{40+n}\)
\(\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}\)
\(\Large\texttt{Process}\)
⇨ Letting n be the number
\(\bold n\)
⇨ Add 40 to n (40 more)
\(\bold{40+n}\) (or n+40; you can swap these numbers, they'll still add up to the same amount)
Hope that helped
Related Questions
NEED HELP ASAP PLS DONT SKIP GIVING BRAINLIEST
.
Answers
Answer:15 times
Step-by-step explanation:
For the 3 batches it is 3 x 5/4 (5/4 is how much each batch costs)=15/4
And you must divide 15/4 by 1/4 or multiply it by 4 crossing out the denominator giving you your answer 15
A line has a slope of 3/2 and has a x-intercept of 2 . What is the y-intercept of the line?
Answers
Answer:
- 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = \(\frac{3}{2}\) x + c ← is the partial equation
To find c substitute the x- intercept (2, 0 ) into the partial equation
0 = 3 + c ⇒ c = 0 - 3 = - 3 ← y- intercept
You’ve learned about function notation in previous lessons, but could you use function notation to add two functions? How do you think you could simplify f(x) + g(x) if f(x) = 3x + 2 and g(x) = 4x? What about a function of a function such as f(g(x))? How do you think f(g(x)) could be simplified? What situations can you think of where combining functions would be useful?
And yes, it's has to be explained in sentence, and has to be SIMPLIFY
Answers
We would substitute the expression for g(x), which is 4x, into the expression for f(g(x)), giving f(g(x)) = 3(4x) + 2 = 12x + 2.
What is function ?
Function can be defined in which it relates an input to output.
To simplify f(x) + g(x) where f(x) = 3x + 2 and g(x) = 4x, we can simply add the two functions by adding their corresponding terms. Therefore, f(x) + g(x) = 3x + 2 + 4x = 7x + 2.
To simplify the function f(g(x)), we would first substitute g(x) into the expression for f(x) wherever x appears, giving f(g(x)) = 3(g(x)) + 2
Then, we would substitute the expression for g(x), which is 4x, into the expression for f(g(x)), giving f(g(x)) = 3(4x) + 2 = 12x + 2.
Combining functions can be useful in many situations, such as in physics or engineering where multiple variables or parameters are involved in a single equation. It can also be useful in finance or economics where the behavior of multiple factors needs to be modeled in a single function.
Therefore, we would substitute the expression for g(x), which is 4x, into the expression for f(g(x)), giving f(g(x)) = 3(4x) + 2 = 12x + 2.
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At Dapper Dave's annual end-of-season sale, every necktie in the shop gets marked down. Dillon purchased 6 neckties during the sale. Each necktie cost $5 less than its full price. He paid a total of $162. What is the cost of each necktie at full price?
Answers
Answer:
6 times 5 = 30
the total is $162
162 + 30 = $192 at full price
Step-by-step explanation:
How do you find eigenvalues and eigenvectors step by step?
Answers
Eigenvalues and eigenvectors can be calculated using these steps:
Start with a square matrix A.Solve the characteristic equation det(A - λI) = 0 to find the eigenvalues (λ).For each eigenvalue, solve the system of equations (A - λI)x = 0 to find the corresponding eigenvectors (x).To find the eigenvalues and eigenvectors of a square matrix A, we follow a systematic process. Firstly, we consider the matrix A. Next, we solve the characteristic equation det(A - λI) = 0, where I is the identity matrix of the same size as A, and λ represents the eigenvalues we seek. The characteristic equation is formed by subtracting the eigenvalue (λ) times the identity matrix (I) from matrix A and taking its determinant. Solving this equation will give us the eigenvalues.
Once we have the eigenvalues, we proceed to find the corresponding eigenvectors. For each eigenvalue λ, we need to solve the system of equations (A - λI)x = 0, where x is the eigenvector associated with that eigenvalue. This system of equations is homogeneous, and we aim to find non-zero solutions for x. This can be done by row-reducing the augmented matrix (A - λI|0) and solving for x.
After repeating this process for each eigenvalue, we obtain the set of eigenvalues and their corresponding eigenvectors for the matrix A. These eigenvalues represent the scalars by which the eigenvectors are scaled when the matrix A operates on them.
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Which equation represents a line through points (–8, 3) and (–2, –3)?
Answers
Answer:
y = -x - 5
Step-by-step explanation:
To find the equation of the line passing through two given points, we can use the point-slope form of a linear equation:
y - y1 = m(x - x1)
Where m is the slope of the line, and (x1, y1) are the coordinates of one of the points on the line.
We first need to find the slope of the line passing through the two given points. We can use the formula:
m = (y2 - y1)/(x2 - x1)
where (x1, y1) = (-8, 3) and (x2, y2) = (-2, -3)
m = (-3 - 3) / (-2 - (-8)) = -6 / 6 = -1
Now, we can use the point-slope form of the equation with one of the given points, say (-8, 3):
y - 3 = -1(x - (-8))
Simplifying:
y - 3 = -x - 8
y = -x - 5
Answer:
(-8, 3) and (-2, -3) is y = -x - 5
Step-by-step explanation:
To find the equation of a line passing through two given points, we can use the point-slope form of a linear equation:
y - y1 = m(x - x1)
Where (x1, y1) are the coordinates of one of the points on the line, and m is the slope of the line.
Given the points (-8, 3) and (-2, -3), we can calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates into the formula:
m = (-3 - 3) / (-2 - (-8))
m = (-3 - 3) / (-2 + 8)
m = (-6) / (6)
m = -1
Now that we have the slope (m = -1) and one of the points (x1, y1) = (-8, 3), we can use the point-slope form to write the equation:
y - 3 = -1(x - (-8))
y - 3 = -1(x + 8)
y - 3 = -x - 8
y = -x - 8 + 3
y = -x - 5
Therefore, the equation that represents a line passing through the points (-8, 3) and (-2, -3) is y = -x - 5.
Hope this helped :)
suppose that instead of three doors, there are four doors in the monty hall puzzle. what is the probability that you win by not changing once the host, who knows what is behind each door, opens a losing door and gives you the chance to change doors? what is the probability that you win by changing the door you select to one of the two remaining doors among the three that you did not select?
Answers
The probability of winning by not changing the door is 25%, and the probability of winning by changing the door is 50% in this modified Monty Hall puzzle with four doors.
the Monty Hall puzzle involving four doors.
First, let's establish the initial scenario: there are four doors, and behind one door, there is a prize. You initially choose one door, and the host, who knows what is behind each door, opens a losing door among the remaining three doors.
1. Probability of winning by not changing the door:
Since you've chosen one door, the probability of having selected the winning door initially is 1/4. If you do not change your door, this probability remains the same. So the probability of winning by not changing the door is 1/4 or 25%.
2. Probability of winning by changing the door:
When the host opens a losing door, there are two unopened doors remaining among the three that you did not select. One of these doors has the prize, so the probability of winning by changing your selection is 1/2 or 50%.
In summary, the probability of winning by not changing the door is 25%, and the probability of winning by changing the door is 50% in this modified Monty Hall puzzle with four doors.
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four marbles are chosen from the jar with replacement. what is the probability that they are all white?
Answers
The probability that four marbles are chosen from the jar with the replacement and that they are all white is p^4 (p raised to the fourth power).
If four marbles are chosen from a jar with replacement, the probability that they are all white is (probability of drawing a white marble)^4.
If the marbles are chosen with replacement, the probability of choosing a white marble on any one draw is the same as the proportion of white marbles in the jar. Let's call this probability p. The probability that all four marbles chosen are white is p^4 (p raised to the fourth power).
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Suppose two lines are parallel.
Which of the following statements must be true? Select all that apply.
Answers
============================================================
Explanation:
Let's go through each answer choice one by one to see if it's true or false.
A) This is true. Parallel lines have equal slopes, but different y intercepts.B) This is true because of the corresponding angles theorem.C) This is false. The statement applies to perpendicular lines, rather than parallel ones.D) This is false in general. The only time it's true is when the consecutive interior angles are 90 degrees each. Otherwise, the statement is false.E) This is true. Let's say we drew any diagonal line we wanted. Now imagine picking a point on that line and shifting it up 5 units. Do this for another point and draw a line through the two separated points. This forms a parallel line. The upper line has been shifted up 5 units compared to the lower line.F) This is false in general. It's only true when both alternate interior angles are 90 degrees each; otherwise, it is false.what is the rate of change for y = 15x + 35
Answers
Explanation:
The rate of change for any linear function is exactly the slope value.
For y = 15x+35, the slope is m = 35
Note how the equation is in the form y = mx+b.
Which of the following values are in the range of the function graphed below? Check all that apply.
Answers
The option that match the range of the graphed function are
b. 1
c. 2
d. -4
e. 3
f. -2
What is range in geometry?In geometry, the term "range" typically refers to the set of all possible values that a function or a variable can take. This is is the output variables. they are usually shown in the y axis
It represents the output values of a function or the values that a variable can attain within a given context.
For the graph, viewing from the range axis, the solid dot starting at point -2 and 2 makes 2 to be part of the range
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why can (or cannot) a p-value from a randomization test be used in the same way as a p-value from a parametric analysis?
Answers
A p-value from a randomization test and a p-value from a parametric analysis are not always used in the same way because they are based on different assumptions and methods of analysis.
Difference between P-value in randomization test and parametric analysisA p-value from a randomization test and a p-value from a parametric analysis are not always interchangeable or used in the same way because they are based on different assumptions and methods of analysis.
A randomization test is a non-parametric statistical test and is not dependent on any assumptions about the underlying distribution of the data while a parametric analysis on the other hand assumes that the data follows a specific probability distribution, such as a normal distribution, and uses statistical models to estimate the parameters of that distribution.
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Four new sampling strategies have been proposed to help PTV determine whether enough cable subscribers are likely to purchase high-speed Internet Service. For each, indicate what kind of sampling strategy is involved and what (if any) biases might result.
A) Run a poll on the local TV news, asking people to dial one of two phone numbers to indicate whether they would be interested.
B) Hold a meeting in each of the fifteen towns, and tally the opinions expressed by those who attend the meetings
C) Randomly select one street in each town and contact each of the households on that street.
D) Go through the company’s customer records, selecting every 40th subscriber. Send employees to those homes to interview the people chosen.
Answers
The least biased sampling strategy is D) Go through the company’s customer records, selecting every 40th subscriber. Send employees to those homes to interview the people chosen.
Four new sampling strategies have been proposed to help PTV determine whether enough cable subscribers are likely to purchase high-speed Internet Service. For each, indicate what kind of sampling strategy is involved and what (if any) biases might result.A) Run a poll on the local TV news, asking people to dial one of two phone numbers to indicate whether they would be interested. This type of sampling strategy is known as convenience sampling.
This technique is biased since only those who watch the local TV news and are interested in high-speed internet services can participate in the survey. The majority of the consumers who are in need of high-speed internet may not watch the local TV news. Hence the survey is biased and does not represent the entire population.B) Hold a meeting in each of the fifteen towns and tally the opinions expressed by those who attend the meetings. This type of sampling strategy is called a Quota sampling. It is biased since there is no guarantee that everyone will attend the meeting or that they will represent the opinions of the entire population.
This sampling strategy also has a higher risk of selection bias since the people who are likely to attend the meeting are the ones who are interested in the product.C) Randomly select one street in each town and contact each of the households on that street. This type of sampling strategy is called Cluster Sampling. This method is less biased compared to the other two strategies mentioned earlier. Since each street is chosen at random, there is a higher chance of getting opinions from a wider range of customers. However, this strategy can still be biased as the opinions may differ from one street to another.D) Go through the company’s customer records, selecting every 40th subscriber. Send employees to those homes to interview the people chosen. This type of sampling strategy is called Systematic Sampling.
This strategy is the least biased among the four strategies. Since customers are selected randomly, there is a higher chance of obtaining a representative sample. The opinions of customers who have discontinued the services are not included, and the survey can only be conducted with current customers.
Hence, the least biased sampling strategy is D) Go through the company’s customer records, selecting every 40th subscriber. Send employees to those homes to interview the people chosen.
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Please answer my first question
Answers
\(\textit{area of a rectangle}\\\\ A=bh ~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ b=2x^2+5x+4\\ h=5x^3 \end{cases}\qquad \begin{array}{llll} \\\\\\ A~~ = ~~ \end{array} \begin{array}{cllll} 2x^2+5x+4\\\\ \times ~~ 5x^3\\\cline{1-1} 10x^5+25x^4+20x^3 \end{array}\)
Research has shown that competent communicators achieve effectiveness by
a. using the same types of behavior in a wide variety of situations.
b. developing large vocabularies.
c. apologizing when they offend others.
d. giving lots of feedback.
e. adjusting their behaviors to the person and situation.
Answers
Research has shown that competent communicators achieve effectiveness by adjusting their behaviors to the person and situation (option e).
Effective communication involves being adaptable and responsive to the specific context, individual preferences, and the needs of the situation.
Competent communicators recognize that different people have different communication styles, preferences, and expectations. They understand the importance of tailoring their communication approach to effectively connect and engage with others.
This may involve using appropriate language, tone, non-verbal cues, and listening actively to understand the needs and perspectives of others.
By adapting their behaviors, competent communicators can build rapport, foster understanding, and promote effective communication exchanges. They are mindful of the social and cultural dynamics at play, and they strive to communicate in a way that is respectful, inclusive, and conducive to achieving mutual goals.
In summary, competent communicators understand that effective communication is not a one-size-fits-all approach. They adjust their behaviors to the person and situation, demonstrating flexibility and adaptability in order to enhance communication effectiveness.
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Competent communicators achieve effectiveness mostly by adjusting their behaviors to suit the person they are communicating with and the situation they find themselves in. While other factors, like having a broad vocabulary or giving feedback, play a part in effective communication, the former is considered the most crucial.
Explanation:Research suggests that competent communicators achieve effectiveness mostly through adjusting their behaviors depending on the person they are communicating with and the situation they are in. This is option e. of your question. Communicating effectively involves behaviors like active listening, understanding the other person's point of view, being able to express thoughts and ideas clearly, and being polite and respectful. While a broad vocabulary (option b.) can be useful, it is not as crucial as adapting your behavior to fit the situation. Moreover, giving feedback (option d.) is a part of effective communication but not the sole defining factor. Apologizing when offending others (option c.) is also important but it doesn't necessarily make one a competent communicator. Using the same type of behavior in various situations (option a.) might not always work, as different situations and individuals require different communication styles.
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Zaboca Printing Limited (ZPL) has only one working printer. Eight (8) customers submitted their orders today Monday 6th June 2022. The schedule of delivery of these orders are as follows:
Jobs (in order of arrival) Processing Time (Days) Date Due
A 4 Monday 13th June 2022
B 10 Monday 20th June 2022
C 7 Friday 17th June 2022
D 2 Friday 10th June 2022
E 5 Wednesday 15th June 2022
F 3 Tuesday 14th June 2022
G 8 Thursday 16th June 2022
H 9 Saturday 18th June 2022
All jobs require the use of the only printer available; You must decide on the processing sequence for the eight (8) orders. The evaluation criterion is minimum flow time.
i. FCFS
ii. SOT
iii. EDD
iv. CR
v. From the list (i to iv above) recommend the best rule to sequence the jobs
Answers
The recommended rule to sequence the jobs for minimum flow time is the EDD (Earliest Due Date) rule.
The EDD rule prioritizes jobs based on their due dates, where jobs with earlier due dates are given higher priority. By sequencing the jobs in order of their due dates, the goal is to minimize the total flow time, which is the sum of the time it takes to complete each job.
In this case, applying the EDD rule, the sequence of jobs would be as follows:
D (Due on Friday 10th June)
F (Due on Tuesday 14th June)
E (Due on Wednesday 15th June)
C (Due on Friday 17th June)
G (Due on Thursday 16th June)
H (Due on Saturday 18th June)
A (Due on Monday 13th June)
B (Due on Monday 20th June)
By following the EDD rule, we aim to complete the jobs with earlier due dates first, minimizing the flow time and ensuring timely delivery of the orders.
Therefore, the recommended rule for sequencing the jobs in this scenario is the EDD (Earliest Due Date) rule.
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A fair six-sided dice (with sides 1, 2, ...,6) is rolled 4 times. Find the probability that at least one 2 is rolled. Give your answer as an exact fraction.
Answers
We can model this with a binomial random variable, with sample size n=4 and probability of success p=1/6.
As we have to calculate the probability of getting at least one 2, it is easy to substract from a probability equal to 1 the probability of getting no 2. This can be written as:
\(\begin{gathered} P(k\ge1)=1-P(k=0)=1-(1-p)^n \\ P(k\ge1)=1-(1-\frac{1}{6})^4=1-(\frac{5}{6})^4=1-\frac{625}{1296}=\frac{1296-625}{1296}=\frac{671}{1296} \end{gathered}\)The probability of getting at least one 2 in dice rolled 4 times is P=671/1296.
Margie wants to collect 3600 cans of food to donate to the community food bank.She plans to collect equal number of can for 4 months how many cans she should collect
Answers
Answer:
If its per month then its 900
Step-by-step explanation:
3600/4 = 900
900*4 = 3600
what is the answer to 5 7 /8 ÷ 9 2/5?
Answers
Answer: 5/8
Step-by-step explanation:
Question down below, Please answer if you know :)
Answers
Answer:
A
Step-by-step explanation:
Step-by-step explanation:
idek what im doing lol
Answers
It's not SAS. The correct answer is HL (hypotenuse-leg).
please help and thank you
Answers
Graph A. Correctly represents Macro's pay and work hours.
What are lines and their slopes?The equation of a line in slope-intercept form is y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
From the given graphs, B and C are definitely not the correct options as they are constant functions, and working for more hours would be earning more money.
Given, He earned $2560 for working 80 hours.
Therefore, In 8 hours he must have earned $256.
Graph A is the correct choice because at 8 hours earned money is approximately $260.
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Variable g is 8 more than variable w. variable g is also 4 less than w. which pair of equations best models the relationship between g and w? g = w − 8 g = w 4 w = 8g w = g − 4 g = w 8 g = w − 4 w = 8g w = g 4
Answers
A pair of equations best models the relationship between g and w are g = w + 8, and g = w - 4 option second is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as linear equation in one variable.
We have :
Variable g is 8 more than variable w, mathematically we can write it as:
g = w + 8 ....(1)
Also, variable g is also 4 less than variable w, mathematically we can write it as:
g = w - 4 ....(2)
The equation (1) and equation (2) are representing the system of linear equation in two variables.
So, we have framed two linear equation, that is:
g = w + 8 and
g = w - 4
Thus, a pair of equations best models the relationship between g and w are g = w + 8, and g = w - 4 option second is correct.
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Answer:
b
Step-by-step explanation:
Consider a periodic signal a(t) with a period To = 2 and Co = 3 The transformation of x(t) gives y(t) where: y(t)=-4x(t-2)-2 Find the Fourier coefficient Coy.
Answers
The Fourier coefficient Cₒy of the transformed signal y(t) is 7/jω * (1 - \(e^{-j2w\)).
To find the Fourier coefficient Cₒy of the transformed signal y(t) = -4x(t-2) - 2, we need to compute the integral of the product of y(t) and the complex conjugate of the complex exponential function \(e^{-jwt\) over one period.
The Fourier coefficient Cₒy is given by the formula:
Cₒy = (1/To) * ∫[0,To] y(t) * \(e^{-jwt\) dt
In this case, To = 2 and the signal y(t) = -4x(t-2) - 2. Substituting these values into the formula, we have:
Cₒy = (1/2) * ∫[0,2] (-4x(t-2) - 2) * \(e^{-jwt\) dt
Since the function x(t) is not provided, we cannot evaluate the integral explicitly without knowing the specific form of x(t). The Fourier coefficient Cₒy depends on the original signal x(t) and its frequency content.
However, if we assume that x(t) is a periodic signal with a period To = 2 and Cₒ = 3 (as mentioned in the question), we can make some simplifications. In this case, we can consider x(t) as a constant function with a value of 3 over the interval [0,2].
Using this assumption, we have:
Cₒy = (1/2) * ∫[0,2] (-4(3) - 2) * \(e^{-jwt\) dt
= (1/2) * ∫[0,2] (-14) * \(e^{-jwt\) dt
= -7 * ∫[0,2] \(e^{-jwt\) dt
The integral of \(e^{-jwt\) with respect to t can be evaluated as:
∫ \(e^{-jwt\) dt = (-1/jω) * \(e^{-jwt\)
Substituting this result back into the equation, we have:
Cₒy = -7 * [(-1/jω) * \(e^{-jwt\)] evaluated from t=0 to t=2
= -7 * (-1/jω) * (\(e^{-j2w\) - \(e^0\))
= 7/jω * (1 - \(e^{-j2w\))
Therefore, the Fourier coefficient Cₒy of the transformed signal y(t) = -4x(t-2) - 2, when assuming x(t) as a constant function with a period To = 2 and Cₒ = 3, is given by 7/jω * (1 - \(e^{-j2w\)).
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A basket contains 8 green apples, 11 red apples, 5 nectarines, and 12 oranges. Mark randomly chooses a piece of fruit, eats it, then selects another. Find p(two oranges)
Answers
22 % probability of selecting 2 oranges from the fruits..
What is probability?A probability is the number of desired outcomes divided by the number of total outcomes.
The probability of choosing 2 oranges will be calculated as:-
Initially, there are 8+11+5+12 = 36 fruits, of which 12 are oranges.
The total number of the fruits is 36 and we have to choose 2 oranges
Then
\(P=\dfrac{8}{36}=0.22=22\%\)
Therefore there is a 22 % probability of selecting 2 oranges from the fruits..
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A dress is on sale for $164. What was the original price of the dress if the discount was of the original price?.
Answers
Answer:
150
Step-by-step explanation:
A system of two equations is shown below. What will you need to multiply the
top equation by in order to solve this system using the elimination method?
x+y=4
3x + 4y = 14
A. -2
B. -3
C. 3
D. 4
Answers
The multiplication factor of the equation is m = 3
Given data ,
Let the system of equations be represented as A and B
where ,
x + y = 4 and 3x + 4y = 14
On simplifying , we get
Multiply equation (1) by 3 , we get
3x + 3y = 12 be equation (3)
Subtracting ( 3 ) from (2 ) , we get
4y - 3y = 14 - 12
y = 2
Now , the solution for x is
x + y = 4
x = 2
Hence , the solution is ( 2 , 2 )
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how much energy does a 180 calorie half-pint carton of chocolate milk store
Answers
A 180 calorie half-pint carton of chocolate milk stores approximately 753.72 joules of energy.
To determine the amount of energy stored in the 180 calorie half-pint carton of chocolate milk, we can convert the calories to joules. One calorie is approximately equal to 4.184 joules. Therefore, 180 calories is equal to 180 * 4.184 = 753.72 joules.
Calories are a unit of energy commonly used in nutrition to measure the energy content of food. However, in scientific calculations and physical contexts, the SI unit for energy is the joule. So, by converting the calories to joules, we can express the energy content of the chocolate milk carton in a standard unit. Hence, a 180 calorie half-pint carton of chocolate milk stores approximately 753.72 joules of energy.
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Can some one help me with my advanced math homework it’s due tomorrow
Answers
Answer:
1.) 88
2.) 196
3.) 63
4.) 90
5.) 367.142857143
6.) 695. 2 repeating
7.) 109.285714286
8.) 63.5593220339
Step-by-step explanation:
Cancel down the following fractions: 9/72