Evaluate the expression
x-y
if
x = -2
y = −3
z=5
Show your work.
Given: x = -2; y = -3; z = 5
It is clear that a numerical term can only be evaluated from an expression filled with numbers (no variables). In the expression provided, we have two variables, where y is being subtracted from x.
The expression can't be simplified because there is no like terms in the expression. However, since there are specific numerical values for each variable, we can substitute the numerical values for the variables in the expression and simplify the expression.
Step-2: SolvingAs planned, let's substitute the variables into the expression
⇒ x - yHere, we know that x = -2 and y = -3.
⇒ -2 - (-3)If -2 is being subtracted by a negative integer, the negative integer will become positive, and the "minus sign" will be converted to a "plus sign".
⇒ -2 + 3 = 1Step-3: ConcludeWe can conclude that 1 is the solution to the expression.
Find the value of each variable. Round to the nearest tenth. How does the measure of angle x compare to the measure of angle z? Justify.
Answer:
z = 47.2°
w = 42.8°
y = 42.8°
x = 47.2°
Step-by-step explanation:
found altitude ('h') first: 6/h = h/7; h = \(\sqrt{42}\)
found base by using Pythagorean Theorem:
7² + (\(\sqrt{42}\))² = c²
c = \(\sqrt{91}\)
found angle z using Rule of Sines:
sin 90 / \(\sqrt{91}\) = sin z / 7
arcsin z = 7 / \(\sqrt{91}\) = 47.2°
found angle w by adding 90 and 47.2, then subtracting from 180 to get 42.8°
found angle y by subtracting m∡z from 90° to get 42.8°
found angle x by adding 90 and 42.8°, then subtracting from 180
find the sum 2/8 - 7/11
argent pls
Answer:
the answer is in the picture with working
Which of the following three goods is most likely to be classified as a luxury good?a. Kang b. Lafgar c. Welk
Welk is most likely to be classified as a luxury good. A luxury good is a good for which demand increases more than proportionally with income.
This means that as people's incomes increase, they are more likely to spend a larger proportion of their income on luxury goods.
The income elasticity of demand for a good is a measure of how responsive demand is to changes in income. A positive income elasticity of demand indicates that demand increases as income increases, while a negative income elasticity of demand indicates that demand decreases as income increases.
The income elasticity of demand for Welk is 4.667, which is much higher than the income elasticities of demand for Kang (-3) and Lafgar (1.667). This indicates that demand for Welk is much more responsive to changes in income than demand for Kang or Lafgar.
Therefore, Welk is most likely to be classified as a luxury good.
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The only information you have about a certain function f[x] is:
-1 ≤ f[x] ≤ 1
for all the x's between -[infinity] and [infinity].
Is it possible for a plot of a partial expansion of f[x] to share ink with the plot of f[x] all the way from -[infinity] to + [infinity]?
Why?
Yes, it is possible for a plot of a partial expansion of f[x] to share ink with the plot of f[x] all the way from -[infinity] to + [infinity].
Explanation:
We can approximate f(x) as a Fourier series, as follows:
\($$f(x) = \sum_{n=0}^{\infty}a_n\cos\left(\frac{n\pi x}{L}\right)+\sum_{n=1}^{\infty}b_n\sin\left(\frac{n\pi x}{L}\right)$$\)
If f(x) is an odd function, the cosine terms are gone, and if f(x) is an even function, the sine terms are gone.
We can create an approximation for f(x) using only the first n terms of the Fourier series, as follows:
\($$f_n(x) = a_0 + \sum_{n=1}^{n}\left[a_n\cos\left(\frac{n\pi x}{L}\right)+b_n\sin\left(\frac{n\pi x}{L}\right)\right]$$\)
For any continuous function f(x), the Fourier series converges uniformly to f(x) on any finite interval, as given by the Weierstrass approximation theorem.
However, if f(x) is discontinuous, the Fourier series approximation does not converge uniformly.
Instead, it converges in the mean sense or the L2 sense. The L2 norm is defined as follows:
\($$\|f\|^2 = \int_{-L}^{L} |f(x)|^2 dx$$\)
Hence, it is possible for a plot of a partial expansion of f(x) to share ink with the plot of f(x) all the way from -[infinity] to + [infinity].
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An ordinary deck of 52 cards is shuffled. what is the probability that the top four cards have (a) different denominations? (b) different suits?
The different denomination is 0.6761
The different suits are 0.1055
What are deck of cards consist of?A standard deck of cards has four suites: hearts, clubs, spades, diamonds. Each suite has thirteen cards: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen and king. Thus the entire deck has 52 cards total.
Given:
Deck of cards= 52
Now,
There are 4 denomination in each cards
and there are 4 suits in deck of cards
a) different denominations
=52*48*44*40/(52*51*50*49)
= 0.6761
b) different suits
=52*39*26*13/ /(52*51*50*49)
= 0.1055
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Which function should be used to when evaluating the function at x = 10?
Answer: p(x)= 2x+10
Step-by-step explanation:
x>4 and x=10 ten is greater than four
Three boxes each contain a different number of marbles. Box A has 90 marbles, box B has 102 marbles, and box C has 97 marbles. Marbles are to be transferred from box B to box A. What is the least number of marbles that can be transferred so box C has the most marbles?
The least number of marbles that can be transferred so box C has the most marbles is given as follows:
6 marbles.
How to obtain the number of marbles?The amount of marbles in boxes B and C are given as follows:
Box B: 102 marbles.Box C: 97 marbles.The marbles from box B are transferred to box A, and we want the box C to have the highest amount of marbles, then the least number of marbles that can be transferred so box C has the most marbles is of six marbles, and the final amounts are given as follows:
Box A: 90 + 6 = 96 marbles.Box B: 102 - 6 = 96 marbles.Box C: 97 marbles.More can be learned about subtraction of amounts at https://brainly.com/question/17301989
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What four consecutive integers have a sum of 86. Name them
The four consecutive integers are 20, 21, 22, and 23 whose sum is 86.
What do you mean by integer no?using sequential means.
Integers are a collection of whole integers and their antipodes, such as -3, -2, 1, 0, 1, 2, 3, etc.
86 is obtained by adding together the four consecutive integers x, (x+1), (x+2), and (x+3)
x + (x+1), (x+2), and (x+3) = 86
the smallest one, x, is now solved for: 4x + 6 = 86
The numbers are 20, 21, 22, and 23, because 4x = 80 x = 20.
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Answer:
20, 21, 22 & 23
Step-by-step explanation:
Forming the equation,
→ x + (x + 1) + (x + 2) + (x + 3) = 86
→ 4x + 6 = 86
Now the the value of x will be,
→ 4x + 6 = 86
→ 4x = 86 - 6
→ x = 80/4
→ [ x = 20 ]
Then the required numbers will be,
→ x = 20
→ x + 1 = 20 + 1 = 21
→ x + 2 = 20 + 2 = 22
→ x + 3 = 20 + 3 = 23
Hence, numbers are 20, 21, 22, 23.
find the value of x needed to make this equation true
A company spends $245,000 on advertising during the first quarter of the year. If this represents 49% of the company's advertising budget for the year, what is the company's advertising budget for the year?
The company's advertising budget for the year is approximately $500,000, calculated by setting up a proportion using the first quarter expenditure of $245,000 representing 49% of the total budget.
To find the company's advertising budget for the year, we can set up a proportion using the given information.
Let's denote the company's advertising budget for the year as B.
We know that the amount spent during the first quarter, $245,000, represents 49% of the advertising budget for the year.
So we can set up the proportion:
245,000 / B = 49 / 100
To solve for B, we can cross-multiply:
245,000 * 100 = B * 49
24,500,000 = 49B
Divide both sides by 49:
24,500,000 / 49 = B
B ≈ $500,000
Therefore, the company's advertising budget for the year is approximately $500,000.
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help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!
Time intervals = 14/7 = 2
Final Amount = 40(1/2)² = 10
How do I find x in an iregular hexigon
Answer:
It mostly depends on the question
Step-by-step explanation:
The standard deviation of a point estimator is the _____. a. standard error b. sample statistic c. point estimate d. sampling err
The standard deviation of a point estimator is the standard error.
"The point estimate is used to estimate the exact value of any parameter. For example, an internet poll says that 45% of Americans are concerned for the environment."
"Point estimates is a good measure but the problem with this parameter is that the sample of the statistics may vary so that there is a chance of sampling error."
"As the researcher is unable to presume that closeness of the sample statistics parameter with respect to the parameter so researcher refers to calculate the standard error instead of point estimate."
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PLEASE HELP!!!
5. Which combination of segment lengths
can be used to construct a triangle?
A. 8 cm, 12 cm, 24 cm
B. 15 cm, 38 cm, 49 cm
C. 34 cm, 63 cm, 97 cm
D. 50 cm, 55 cm, 136 cm
Answer:
c
Step-by-step explanation:
On the graph below where the following areas are the x - axis, the y - axis,quadrant 1,quadrant 2, quadrant 3 and quadrant 4
c. adams, quadruple crossing number of knots and links, math. proc. of cambridge philos. soc., 156(2):241-253, 2014.
Title: Quadruple Crossing Number of Knots and Links by C. Adams
In the article titled "Quadruple Crossing Number of Knots and Links" by C. Adams, published in the Mathematical Proceedings of the Cambridge Philosophical Society, volume 156(2), pages 241-253 in 2014, the author explores the concept of the quadruple crossing number of knots and links.
The quadruple crossing number of a knot or link is defined as the minimum number of times any diagram of the knot or link must cross itself in order to represent the knot or link. C. Adams delves into the study of this intriguing aspect of knot theory, aiming to determine the quadruple crossing number for various knots and links.
Through meticulous analysis and calculations, Adams examines different types of knots and links and investigates their crossing numbers. The author presents mathematical proofs, formula derivations, and knot diagrams to illustrate the concepts and results obtained.
By exploring the quadruple crossing number, Adams aims to deepen our understanding of the complexity and structure of knots and links, shedding light on their mathematical properties and connections to other branches of mathematics.
C. Adams' article on the quadruple crossing number of knots and links provides valuable insights into the field of knot theory. By determining the minimum number of crossings required to represent various knots and links, the author contributes to our understanding of the complexity and intricacy of these mathematical objects. The findings presented in this article serve as a foundation for further research and exploration in the field of knot theory, and they demonstrate the significance of the quadruple crossing number as a fundamental parameter in the study of knots and links.
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A pole casts a 6-foot shadow. If the distance from the top of the pole to the tip of the shadow is
10 feet, how many feet high is the pole?
a) 4
b) 8
c) 12
d) 16
e) 20
Answer:
8feet high
Step-by-step explanation:
To get the height of the pole, we will use the pythagoras theorem. Let H be the height
H² = 10² -6²
H² = 100 - 36
H² = 64
H = √64
H = 8feet
Hence the pole is 8feet high
1014
5
X
-10
-5
0
5
10
-10
what are the coordinates of the vertex
Answer:
I did the best I could graphing it but it's weird. It's all I got. So here you go. I hope it helps! have a nice day!
Step-by-step explanation:
What is a 1-sample t-test used for?
A 1-sample t-test is a statistical method used to determine whether a sample of data is significantly different from a known or hypothesized population mean.
It is a common method used in scientific research and it can be used to test hypotheses in many different fields. The t-test compares the mean of a sample to a population mean, and it uses the t-distribution to calculate the probability that the sample mean is significantly different from the population mean. To perform a 1-sample t-test, you need to have a sample of data and a known or hypothesized population mean, and the test assumes that the data is normally distributed and that the variances between the sample and population are equal.
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10
8
7
6
5
4
3
2
1
х
0 1 2
3
4
5
6
7
8
9
10
What is the slope?
Answer:
d
Step-by-step explanation:
d trust
Who ran farther by the end of the week how much farther use the table below that shows the distances in miles
Answer:
Yu ran farther by the end of the week.
Step-by-step explanation:
Fraction addition
\(\sf \text{Total distance ran by Holy= $1\dfrac{1}{2}+\dfrac{1}{2}+2\dfrac{1}{4}+\dfrac{3}{4}+1\dfrac{1}{2}$}\)
Convert mixed fractions to improper fractions
\(\sf =\dfrac{3}{2}+\dfrac{1}{2}+\dfrac{9}{4}+\dfrac{3}{4}+\dfrac{3}{2}\\\\ = \dfrac{3}{2}+\dfrac{1}{2}+\dfrac{3}{2}+\dfrac{9}{4}+\dfrac{3}{4}\\\\=\dfrac{7}{2}+\dfrac{12}{4}\\\\=\dfrac{7*2}{2*2}+\dfrac{12}{4}\\\\=\dfrac{14}{4}+\dfrac{12}{4}\\\\=\dfrac{14+12}{4}\\\\=\dfrac{26}{4}\\\\=\dfrac{13}{2}\\\\=6\dfrac{1}{2} \ miles\)
\(\sf \text{Distance travelled by Yu=1\dfrac{3}{4}+1\dfrac{1}{2}+2\dfrac{3}{4}+1\dfrac{1}{4}+\dfrac{1}{2}}\)\(\sf \text{Distance traveled by Yu= $1\dfrac{3}{4}+1\dfrac{1}{2}+2\dfrac{3}{4}+1\dfrac{1}{4}+\dfrac{1}{2}$}\)
\(\sf = \dfrac{7}{4}+\dfrac{3}{2}+\dfrac{11}{4}+\dfrac{5}{4}+\dfrac{1}{2}\\\\ =\dfrac{(7+11+5)}{4}+\dfrac{3+1}{2}\\\\= \dfrac{23}{4}+\dfrac{4}{2}\\\\=\dfrac{23}{4}+\dfrac{4*2}{2*2}\\\\=\dfrac{23}{4}+\dfrac{8}{4}\\\\=\dfrac{31}{4}\\\\=7\dfrac{3}{4} \ miles\)
Yu ran farther by the end of the week.
A teacher gave 13 marks to student and 12 marks to another student in one exam. Can you tell TIME by the previous sentence?
Answer:
1:45
Step-by-step explanation:
Trickish a bit. But look at it from this angle.
Two students were given marks that when added together, gives a total of 25. 25 on the other hand, is known to be a quarter of 100.
Again, we consider that there are 2 students involved, so we can say that the hour mark is at 2. This means that we have quarter to 2. And looking up quarter to 2 on the clock gives 1:45.
The answer is therefore 1:45
Can anyone help me with this please.
I’ll mark you as a brainliest.
Answer:
x = 21
Step-by-step explanation:
5x + 18 = 7x - 24
=> 5x - 7x = - 24 - 18
=> -2x = - 42
=> x = -42 / -2
=> x = 21
Hope it helps :)
Please mark my answer as the brainliest
∠A and ∠B are complementary. The measure of ∠A is 32°. What is the measure of ∠B? Enter your answer in the box. °
Answer:
∠B = 58°
Step-by-step explanation:
∠A and ∠B are complementary.
-> ∠A + ∠B = 90°
-> 32° + ∠B = 90°
-> ∠B = 90° - 32°
-> ∠B = 58°
Answer:
<B = 58
Step-by-step explanation:
complementary angles are angles that sum up to 90°.
If A and B are angle when added will form 90°, to find B we follow the following steps
A + B = 90
if A = 32°,
32 + B = 90
collect like terms
B = 90 - 32
B = 58
that means
32 + 58 = 90
B = 58
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help ts all in the screenshot
I think it's decreasing
3x -y=-2y solve for y pls help me
Answer:
-x
Step-by-step explanation:
3x - y = -2y
add y to both sides
3x = -3y
divide both sides by -3
-x = y
In the formula for calculating the standard deviation, what does the letter n represent? a. summation b. sample size c. mean score for group d. individual score
The correct option is (b) sample size.
In the formula for calculating the standard deviation, the letter n represent sample size.
What is standard deviation?
Standard deviation is a statistical standard measure in finance that, when applied to an investment's annual rate of return, sheds light on its historical volatility.
Some key features regarding the standard deviation are-
The higher the standard deviation of a security, the larger the variance between every price and the mean, indicating a wider price range.A volatile stock, for example, has a high standard deviation, whereas a stable blue-chip stock has a low deviation.A square root of a value deduced from correlating data points to a population's collective mean is used to calculate standard deviation. The formula is:
Standard Deviation = \(\sqrt{\frac{summation n to i=1 (x_{i}-bar x )}{n-1} }\)
Where,
\(x_{i}\)= value of the i th point the the given data set.
\(barx\)= mean value
n = total number of data points.
Thus, the standard deviation, on the other hand, determines all ambiguity as risk, even when it is in the investor's favor, like above-average returns.
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EXPERIMENT: MAKING GRAPHSIn this project, you will be designing three graphs based on information given to you in tables. You must organize the information into graphs and make them clear and understandable.• Did you finish your line or bar graph?• Which did you do?• Describe your results.• Did you finish your pictograph?• Which did you do?• Describe your results.• Did you finish your pie chart?• Which did you do?• Describe your results.
Making experimental graphs are a useful way to present data. Graphs make it easier to comprehend large amounts of data. Bar graphs, pictographs, and pie charts are different types of charts that serve various purposes, but they all aim to communicate data concisely and understandably.
In this project, you will create three graphs from the tables provided. You must organize the data into graphs and ensure they are understandable and straightforward. The graphs include bar graphs, pictographs, and pie charts. Let's look at the results of each diagram.
In a bar graph, we used the data and represented it using horizontal or vertical bars. We completed our bar chart by plotting the values on the X and Y axes. To see trends and patterns in our data, we created bar charts. We also added gridlines to make it easier to read the graph. The bar chart revealed a direct relationship between the data collected.
For the Pictograph, we chose to display data using images. We used these pictures to represent the information and plotted them on a chart. To make the pictograph more appealing, we added bright colors to it. The pictures made it simple for us to interpret the data quickly. We found out that it was quicker to look at the picture than to read the numbers.
The last graph was the Pie chart, which we created using data from a table. We divided the table into sections, making it easier to show the size of each data. We started the pie chart using appropriate values and fractions to represent the data. We also used percentages to calculate the data portions each slice meant. It was a simple way to describe data and the trends and patterns we had seen in the other graphs.
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In the supermarket, there were 434 boxes of cereal, 285 gallons of milk, and 176 cans of orange juice. About how many
breakfast items were there? Use rounding to the nearest hundred to estimate the total number of breakfast items.
Answer:
900
Step-by-step explanation:
434+285+176 is 895,895 to the nearest hundred is 900