Answer:
|8| = 8
Step-by-step explanation:
Absolute values only find the true distance of a number from 0. Distance is always positive, so the absolute value of anything is always positive.
|8| = 8
The absolute value of 8 that is |8| is equal to 8.
We have given that,
|8|
We have to determine the value of |8|.
What is the absolute value?The absolute value or modulus of a real number x denoted |x|, is the non-negative value of x without regard to its sign. Namely, \({\displaystyle |x|=x}\)if x is a positive number, and \({\displaystyle |x|=-x}\) if x is negative, and \({\displaystyle |0|=0}\).
Absolute values only find the true distance of a number from 0. Distance is always positive, so the absolute value of anything is always positive.
|8| = 8
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Write a recursive algorithm that, given the filled table[1 ⋯ ; 0 ⋯ ]as input, prints a sequence of[, ]coin values whose total value is.If it happens that[, ] = [infinity], print a message to theeffect that no such disbursement of coins is possible
To write a recursive algorithm for printing a sequence of coin values whose total value is given a filled table as input, we need to understand the problem context and the meaning of the table.
However, in the provided question, the table and its contents are not specified, making it difficult to provide a specific recursive algorithm.
Typically, when solving problems related to coin disbursement or generating a sequence of coins, algorithms like dynamic programming or recursive backtracking are commonly used. These algorithms involve breaking down the problem into smaller subproblems and recursively exploring all possible solutions.
Without further details about the filled table and its purpose, it is not possible to provide a specific recursive algorithm. If you can provide more information or clarify the problem context, I'll be happy to assist you further in developing an appropriate recursive algorithm.
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write the symbolic expression for each of the following descriptions, then get rid of the radical and make them exponential expressions in fractional form. 11. the eighth root of fifty seven to the sixth degree
The final exponential expression in fractional form for "the eighth root of fifty-seven to the sixth degree" is 57^(3/4).
To express the given description as a symbolic expression and then convert it into an exponential expression in fractional form, we'll follow these steps:
Step 1: Symbolic Expression
The description states "the eighth root of fifty-seven to the sixth degree." Let's denote this as √[57]^(1/8)^6.
Step 2: Removing Radical
To eliminate the radical (√), we can rewrite it as a fractional exponent. The numerator of the fractional exponent corresponds to the power (6) applied to the base, and the denominator corresponds to the index of the root (8).
So, the expression becomes (57^(1/8))^6.
Step 3: Simplifying Exponents
To simplify the exponent, we multiply the powers:
(57^((1/8)*6))
Simplifying further:
(57^(6/8))
Step 4: Fractional Form
The exponent 6/8 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:
(57^(3/4))
Therefore, the final exponential expression in fractional form for "the eighth root of fifty-seven to the sixth degree" is 57^(3/4).
This means that we raise 57 to the power of 3/4 to represent the original description. The fraction 3/4 indicates taking the eighth root of 57 and then raising it to the sixth power.
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Y=-2|x+2|-4 i need to find y intercept and the x intercept
Answer:
x-int: ∅
y-int: (0,-8)
Step-by-step explanation:
To find the x and y-intercept, simply plug in zero for x and y:
\(0=-2|x+2|-4\\4=-2|x+2|\\-2=|x+2|\\\)
Because an absolute value cannot be equal to a negative, there is no x-intercept.
\(y=-2|0+2|-4\\y=-2|2|-4\\y=-4-4\\y=-8\)
Hope it helps :)
108 is one interior angle of a regular
Answer:
There are 108° in each interior angle of a regular pentagon. This process can be generalized into a formula for finding each interior angle of a REGULAR polygon Each interior angle of a “regular” polygon is given by where n = the number of sides in the polygon.
Step-by-step explanation:
Suppose you want to model the difference -4-7 do you need to add zero pairs if so why?how many should you add what is the difference?
Answer:
Yes and no. It depends on how you set up the problem. You can set it up as an addition or a subtraction problem. As a subtraction problem you would use zero pairs, but it you rewrote the expression as an addition problem then you would not need zero pairs.
Step-by-step explanation:
You can:
You can add 7 zero pairs.
_ _ _ _ _ _ _ _ _ _ _ The 4 negative and 7 zero pairs.
+ + + + + + +
I added 7 zero pairs because I am told to take away 7 positives, but I do not have any positives so I added 7 zero pairs with still gives the expression a value to -4, but I now can take away 7 positives. When I take the positives away, I am left with 11 negatives.
_ _ _ _ _ _ _ _ _ _ _.
I can rewrite the problem as an addition problem and then I would not need zero pairs.
- 4 - 7 is the same as -4 + -7 Now we would model this as
_ _ _ _
_ _ _ _ _ _ _
The total would be 7 negatives.
what is th answer to this question
The total surface area of the trapezoidal prism is S = 3,296 inches²
Given data ,
Let the total surface area of the trapezoidal prism is S
Now , the measures of the sides of the prism are
Side a = 10 inches
Side b = 32 inches
Side c = 10 inches
Side d = 20 inches
Length l = 40 inches
Height h = 8 inches
Lateral area of prism L = l ( a + b + c + d )
L = 40 ( 10 + 32 + 10 + 20 )
L = 2,880 inches²
Surface area S = h ( b + d ) + L
On simplifying the equation , we get
S = 2,880 inches² + 8 ( 52 )
S = 3,296 inches²
Hence , the surface area of prism is S = 3,296 inches²
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Bella is watching a baseball game. So far, 4 out of 22 batters have gotten a hit. What is the experimental probability that the next batter will get a hit?
The required experimental probability that the next batter will get a hit is 2/11.
What is Probability?A number that indicates how likely an event is to occur is called its probability. It is communicated as a number in the reach from 0 and 1, or, utilizing rate documentation, in the reach from 0% to 100 percent. The higher the probability, the more likely the event is to occur.
According to question:The experimental probability of an event happening is defined as the number of times the event occurs divided by the total number of trials or events.
In this case, we are given that 4 out of 22 batters have gotten a hit so far. Therefore, the experimental probability that the next batter will get a hit is:
P(hit) = Number of hits / Total number of batters
P(hit) = 4/22
Simplifying:
P(hit) = 2/11
Therefore, the experimental probability that the next batter will get a hit is 2/11.
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Solve the equation 3/8p=9
Answer:
p = 24Step-by-step explanation:
\( \frac{3}{8} p = 9\)
\( = > p = 9 \times \frac{8}{3} \)
=> p = 3 × 8
=> p = 24 (Ans)
Which type of sample is selected to reflect the demographic characteristics of the population of interest
The type of sample that is selected to reflect the demographic characteristics of the population of interest is representative samples. Option b is correct.
Representative samples are selected to reflect the demographic characteristics of the population of interest. This sampling method aims to ensure that the sample closely resembles the larger population in terms of its demographic composition.
By including individuals from various demographic groups in the sample, representative samples allow for more accurate generalizations and conclusions to be drawn about the population as a whole. This sampling approach is commonly used in research studies and surveys to gather data that is representative of the larger population's characteristics and attitudes.
Therefore, b is correct.
Which type of sample is selected to reflect the demographic characteristics of the population of interest?
A. Convenience samples
B. Representative samples
C. Random samples
D. Cumulative samples
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please help me answer the question
You are selling tickets at a dance. Individual tickets cost $6, and 2 tickets for a couple cost $10. After the dance, you count $1075 and 195 tickets. Your friend finds $1 near your table and asks if it belongs with the ticket money. Do you think it does?
The 1 dollars found near the table by your friend is likely the money for the tickets.
How to find if the money belong to the ticket money?You are selling tickets at a dance. Individual tickets cost $6, and 2 tickets for a couple cost $10. After the dance, you count $1075 and 195 tickets.
let
x = number of individual ticket
y = number of couple tickets = 2x
Therefore, using equation,
2x(10) + 6x = 1075
2x + x = 195
Hence,
20x + 6x = 1075
3x = 195
x = 195 / 3
x = 65
Hence,
26x = 1075
26(65) = 1690
Therefore, the money on the table is the ticket money because the money is short of the amount of the tickets in dollars.
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someone help me please help please please help me asap
Answer:
50%
Step-by-step explanation:
The given word :
E A C H
There are 2 vowels.
Probability (vowel) = No. of vowels / Total lettersP (vowel) = 2 / 4P (vowel) = 1/2 = 0.5P (vowel) = 50%Question 3 Find whether the vectorrs are parallel. (-2,1,-1) and (0,3,1)
a. Parallel
b. Collinearly parallel
c. Not parallel
d. Data insufficient
To determine whether the vectors (-2,1,-1) and (0,3,1) are parallel, we need to compare their direction. If they have different directions, they are not parallel. the correct answer is option c) Not parallel.
To check if two vectors are parallel, we can compare their direction vectors. The direction vector of a vector can be obtained by dividing each component of the vector by its magnitude. In this case, let's calculate the direction vectors of the given vectors.
The direction vector of (-2,1,-1) is obtained by dividing each component by the magnitude:
Direction vector of (-2,1,-1) = (-2/√6, 1/√6, -1/√6)
The direction vector of (0,3,1) is obtained by dividing each component by the magnitude:
Direction vector of (0,3,1) = (0, 3/√10, 1/√10)
Comparing the direction vectors, we can see that they are not equal. Therefore, the vectors (-2,1,-1) and (0,3,1) are not parallel. Hence, the correct answer is option c) Not parallel.
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Stacy goes to the county fair with her friends. The total cost of ride tickets is given by the equation c = 3.5t, where c is the total cost of tickets and t is the number of tickets. If Stacy bought 15 tickets, she would spend $
Answer:
52.5
Step-by-step explanation:
because you do 15 x 3.5
this gets 52.5
Answer:
52.5
Step-by-step explanation:
because you do 15 x 3.5
this gets 52.5
Step-by-step explanation:
\(510.75 - 302.05\)
Answer:
208.7
Step-by-step explanation:
510.75
- 302.05
= 208 .70
.
∑ Hey, avsofia10 ⊃
Answer:
208.7
Step-by-step explanation:
Given:
\(510.75-302.05\)
Solve:
\(\mathrm{line\:up\:the\:decimal\:points}\)
\(\frac{\begin{matrix}\:\:&5&1&0&.&7&\textbf{5}\\ -&3&0&2&.&0&\textbf{5}\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\:\:&\:\:&\textb\end{matrix}}\)
\(\mathrm{Subtract\:each\:column\:of\:digits,\:starting\:from\:the\:right\:and\:working\:left}\)
\(\frac{\begin{matrix}\:\:&5&1&0&.&7&\textbf{5}\\ -&3&0&2&.&0&\textbf{5}\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\:\:&\:\:&\textbf{0}\end{matrix}}\) \(\mathrm{[5-5=0]}\)
\(\frac{\begin{matrix}\:\:&5&1&0&.&\textbf{7}&5\\ -&3&0&2&.&\textbf{0}&5\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\:\:&\textbf{7}&0\end{matrix}}\) \(\mathrm{[7-0=7]}\)
\(\mathrm{Place\:the\:decimal\:point}\)
\(\frac{\begin{matrix}\:\:&5&1&0&\textbf{.}&7&5\\ -&3&0&2&\textbf{.}&0&5\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\textbf{.}&7&0\end{matrix}}\)
\(\mathrm{The\:bottom\:number\:is\:larger\:than\:the\:upper\:number \:therefore\:borrow\:a\:digit\:from\:the\:left.}\)
\(\frac{\begin{matrix}\:\:&\:\:&\textbf{0}&10&\:\:&\:\:&\:\:\\ \:\:&5&\textbf{\linethrough{1}}&0&.&7&5\\ -&3&\textbf{0}&2&.&0&5\end{matrix}}{\begin{matrix}\:\:&\:\:&\textbf{\:\:}&\:\:&\:\:&7&0\end{matrix}}\)
\(\frac{\begin{matrix}\:\:&\:\:&0&\textbf{10}&\:\:&\:\:&\:\:\\ \:\:&5&\linethrough{1}&\textbf{\linethrough{0}}&.&7&5\\ -&3&0&\textbf{2}&.&0&5\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\textbf{8}&.&7&0\end{matrix}}\) \(\mathrm{[10-2=8]}\)
\(\frac{\begin{matrix}\:\:&\:\:&\textbf{0}&10&\:\:&\:\:&\:\:\\ \:\:&5&\textbf{\linethrough{1}}&\linethrough{0}&.&7&5\\ -&3&\textbf{0}&2&.&0&5\end{matrix}}{\begin{matrix}\:\:&\:\:&\textbf{0}&8&.&7&0\end{matrix}}\) \(\mathrm{[0-0=0]}\)
\(\frac{\begin{matrix}\:\:&\textbf{\:\:}&0&10&\:\:&\:\:&\:\:\\ \:\:&\textbf{5}&\linethrough{1}&\linethrough{0}&.&7&5\\ -&\textbf{3}&0&2&.&0&5\end{matrix}}{\begin{matrix}\:\:&\textbf{2}&0&8&.&7&0\end{matrix}}\) \(\mathrm{[5-3=2]}\)
\(=208.7\)
\(\mathrm{Hence, 510.75-302.05=208.7}\)
xcookiex12
8/17/2022
in your own words explain the steps you would need to take to find slope from the data table .
Answer:
look at explanation, i got it on ed.
Step-by-step explanation:
Start by choosing two data points. Calculate the difference between the second y value and the first y value. Then divide that by the difference between the second x value and the first x value.
Answer:
Start by choosing two data points. Calculate the difference between the second y value and the first y value. Then divide that by the difference between the second x value and the first x value.
Step-by-step explanation:
Calculate the following double integral. I= (Your answer should be entered as an integer or a fraction. ) I= = √² (4+12ry) da dy
The value of the double integral is I = 0.
To calculate the double integral ∬ √(4+12ry) dA dy, we need to determine the limits of integration for each variable and then evaluate the integral.
Assuming the region of integration is not specified, we'll integrate over the entire xy-plane.
The integral can be rewritten as follows:
I = ∫∫ √(4 + 12ry) dA dy
Since there are no specific limits given, we'll integrate from negative infinity to positive infinity for both variables.
I = ∫(-∞ to ∞) ∫(-∞ to ∞) √(4 + 12ry) dx dy
To solve this integral, we'll integrate with respect to x first and then with respect to y.
∫(-∞ to ∞) ∫(-∞ to ∞) √(4 + 12ry) dx dy = ∫(-∞ to ∞) √(4 + 12ry) [x] dx dy
Evaluating the integral with respect to x:
∫(-∞ to ∞) √(4 + 12ry) [x] dx dy = ∫(-∞ to ∞) [x√(4 + 12ry)]|(-∞ to ∞) dy
Since the limits of integration for x are from negative infinity to positive infinity, the term [x√(4 + 12ry)] evaluates to 0. Therefore, the integral becomes:
I = ∫(-∞ to ∞) 0 dy
Integrating a constant value of 0 over the entire y-axis yields a result of 0.
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Ignacio and Kirsten want to find out if the triangle formed by connecting (-1,-1). (-3,2), and (2, 1) is a right triangle Ignacio's plan: . Use the distance formula to find the lengths of the sides. • Then see if the side lengths satisfy the equation a2 + b2 = c2 to see if it is a right triangle Kirsten's plan: • Find the slopes of the three sides. • See if any two slopes are negative reciprocals of each other Which student's plan will work?
Answer:
Both plans are correct
Step-by-step explanation:
I already did it
A 6
6
-foot ribbon is cut into 4
4
equal pieces.
Which equation shows how to find the length of each piece?
The equation shows how to find the length of each piece is L = R / N and the length of each piece is 1.5 feet.
To find the length of each piece, we can use the following equation:
Length of each piece = Total length of the ribbon / Number of pieces
In mathematical terms, we can represent this equation as:
L = R / N
Where,
L is the length of each piece
R is the total length of the ribbon (66 feet in this case)
N is the number of pieces (44 in this case)
In this problem, we are given a 66-foot ribbon and we are asked to cut it into 44 equal pieces. We need to find out the length of each piece.
Using this equation, we can easily find the length of each piece:
L = 66 / 44
L = 1.5 feet
Therefore, each piece of the ribbon is 1.5 feet long.
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How do you find eigenvalues and eigenvectors step by step?
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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x - 3y = 6
2x + 4y = 2
if (x,y) is a solution to the system of equations above, what is the value of x-y?
A) 4
B) -4
C) 2
D) -2
If X is a discrete uniform random variable ranging from 1 to 8, find P(X < 6).
Given, X is a discrete uniform random variable ranging from 1 to 8.
In order to find P(X < 6), we need to find the probability that X takes on a value less than 6.
That is, we need to find the probability that X can take on the values of 1, 2, 3, 4, or 5.
Since X is a uniform random variable, each of these values will have the same probability of occurring. Therefore, we can find P(X < 6) by adding up the probabilities of each of these values and dividing by the total number of possible values:
X can take on 8 possible values with equal probability.
Since we are only interested in the probability that X is less than 6, there are 5 possible values that satisfy this condition.
Therefore:P(X < 6) = 5/8Ans: P(X < 6) = 5/8
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A concave shaving mirror has a radius of curvature of +31.5 cm. It is positioned so that the (upright) image of a man's face is 3.40 times the size of the face. How far is the mirror from the face? Number i Units
The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.
Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40
We know that the formula for magnification is given by:
m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :
f = r/2where,f = focal length of the mirror
Using the mirror formula:1/f = 1/v - 1/u
We know that a concave mirror has a positive focal length, so we can replace f with r/2.
We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u
Also, from the given data, we have :m = v/u
Substituting the value of v/u in terms of m, we get: u/v = 1/m
So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u
Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm
Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.
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HELP 30 POINTS
Given the system below, SELECT all terms that will be
eliminated by adding the equations together.
-x + y = -1
2x-y=0
-x
2x
y
-y
-1
0
Answer:-1
Step-by-step explanation:
Find the equation of this line! Thank You
Answer:
y = -1/2 + 1
Step-by-step explanation:
Slope = rise/run. The rise is 2 and the run is 4. Additionally, the line is negative. Therefore, the slope is -2/4 = -1/2.
The y intercept is just (1,0) as shown on the graph so the equation is y = -1/2 + 1.
Find the interest on the loan if you borrowed \$ 5000$5000 at 5 \%5% interest for 11 year
Answer:
1,511$
Step-by-step explanation:
the point of tangency are :
Answer:
R and Z
Step-by-step explanation:
A point that "touches" the circle once.
please give a step by step ASAP
The correct option is the fourth one, the slope and y-intercept are different.
Which statement is correct?Here we have the linear equation:
3x - 5y = 4
We know that it is dilated by a scale factor of 5/3, so let's find the dilation.
We can rewrite the linear equation as:
-5y = 4 - 3x
y = (3/5)x - 4/5
Now let's apply the dilation:
y = (5/3)*[ (3/5)x - 4/5]
y = x - 4/3
Then we can see that the slope and the y-intercept are different, the correct option is 4.
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Given: ΔABC ∼ ΔGHF
m ∠B=m ∠H=90°
m ∠A=46°
What is m ∠F?
a. 44°
b. 46°
c. 54°
d. 90°
The measure of angle F is given as follows:
a. 44°.
How to obtain the measure of angle F?Similar triangles have congruent angle measures, that is, they have the same angle measures.
The internal angle measures of triangle GHF are given as follows:
90, 46 and F.
The sum of the measures of the internal angles of a triangle is of 180º.
Considering the value of the sum of the measures of the internal angles of the triangle, the measure of angle F is obtained as follows:
90 + 46 + F = 180
136 + F = 180
F = 180 - 136
F = 44º.
Meaning that the correct option is given by option A.
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Would you help me solve this question with steps? It would really help, and thank you.
5x + 3y = 6
Answer's too short so here's some extra text.