Answer:
13/2
Step-by-step explanation:
check the attached file
Answer:
6.5
Step-by-step explanation:
You want the definite integral of |2x-3| from -1 to 2 using geometric area formulas.
AreaThe attached figure shows the integral to be the sum of the areas of two triangles. The left one has a base of 2.5 and a height of 5; the right one has a base of 0.5 and a height of 1. The areas can be found using the triangle area formula:
A = 1/2bh
A = 1/2(2.5)(5) = 6.25 . . . . . area of left triangle
A = 1/2(0.5)(1) = 0.25 . . . . . area of right triangle
Then the integral is ...
[tex]\displaystyle \int_{-1}^2{|2x-3|}\,dx=6.25+0.25=\boxed{6.50}[/tex]
in a 6 x 4 grid (6 rows, 4 columns), 12 of the 24 squares are to be shaded so that there are two shaded squares in each row and three shaded squares in each column. let
As calculated from the data given , the number of ways in which we can perform the required selection is 1860 .
There are 20 ways to select the rows
( 6 ) = 20
( 3)
To get our final solution, we shall multiply whatever result we get by 20.
Consider the 3x3 adjacent to the three boxes we've filled in. We must place one ball in each row
We divided the cases into these categories:
All three balls are grouped together in the same column. In this scenario, there are three options for which column to select. The bottom part of the board is now secured.All three balls are grouped together in the same column. In this scenario, there are three options for which column to select. The bottom part of the board is now secured.Each of the three balls is in a separate column. Then there are three options for where the ball in column 2 goes and two options for where the ball in column 3 goes. Consider what happens in the bottom half of the board once more.Now that there are two balls in each row and column, each row and column in the ,3x3 .
However, there are six options. So there are a total of 36 possibilities.
So there are 20 x (3+54+36) = 1860 ways .
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NO LINKS!! Please help me with this problem. Part 6ff
Answer:
The sequence is not arithmetic. In an arithmetic sequence, the difference between consecutive terms is constant. However, in this sequence, the difference between the terms is not constant. For example, the difference between the first and second terms is 1^5 - 2^5 = -3, while the difference between the second and third terms is 2^5 - 3^5 = -6. Since the difference between consecutive terms is not constant, this sequence is not arithmetic. Therefore, the common difference is NONE.
Answer:
No, the sequence is not arithmetic.
d = NONE
Step-by-step explanation:
An Arithmetic Sequence has a common difference between each term (the difference between each term is the same).
Given sequence:
[tex]1^5, 2^5, 3^5, 4^5, 5^5, ... = 1, 32, 243, 1024, 3125, ...[/tex]
Calculate the difference between each term:
[tex]1 \underset{+31}{\longrightarrow} 32 \underset{+211}{\longrightarrow} 243 \underset{+781}{\longrightarrow} 1024 \underset{+2101}{\longrightarrow} 3125[/tex]
As the difference between each term is not constant, the sequence is not an arithmetic sequence.
Therefore, the common difference, d = NONE.
Determine the intercepts of the line. Do not round your answers.
-5 x+9 y=-18
x-intercept: (____,___)
y-intercept: (_____,____)
The number line below is divided into 4 equal parts. Fill in the missing fractions and percentages.
Note that your fractions don't need to be in simplest form.
We can fill in the remaining fractions and percentages.
as
0 1/4 2/4 3/4 1
|--------------|--------------|--------------|--------------|
0% 25% 50% 75% 100%
What is a number line?
A number line is a straight line that is used to represent real numbers. The numbers are usually represented as points on the line, and the distance between the points corresponds to the magnitude of the numbers. The numbers can be positive or negative and are typically marked at regular intervals.
The missing parts are
0 1/4 2/4 3/4 1
|--------------|--------------|--------------|--------------|
0% 25% 50% 75% 100%
This is how we can fill in the remaining fractions and percentages.
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Which coordinates are the best estimate of the solution to the system of equations. -3x+y=2 -4x+7y=1
The best estimate of the solution to the system of linear equations is the point are (x,y) will be (0.76, 4.30).
What is linear equations?A linear equation in two variables is one that is written in the form axe + by + c=0, where a, b, and c are real numbers and the coefficients of x and y, i.e. a and b, are not equal to zero.
Given:
as x,y are variables,
-3x + y = 2 ..............(1)
- 4x + 7y = 1 ...........(2)
We know that,
The solution of the system of linear equations is the intersection point of both graphs
Multiply equation (1) by 7 on both sides and then subtract it from eq (2)
- 4x + 7y = 1 ...........(2)
-21x + 7y = 14 ..............(1)
⇒- 17 x = -13
⇒ 17 x = 13
⇒ x =[tex]\frac{13}{17}[/tex]
⇒ x = 0.76
Now on putting value of x = 0.76 in eq (1) we get
- 3x + y = 2 ............ (1)
⇒- 3(0.76) + y = 2
⇒y = 4.30
The best estimate of the solution to the system of linear equations is the point (x,y) will be (0.76, 4.30).
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What is the range of this function?
Range of the function will be real line.
What do you mean by the range of the function?
Variable values change. This can be represented as a set of values called the function's domain and scope.
domain:
The domain of a function is the set of numbers representing all possible values of x.
range:
A range is a set of numbers representing each potential value that y might have based on a function.
Range of the given function will be real line as for all values of x , value of y is changing and belong to real number. Therefore, range of the function will be real line.
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A can is in the shape of a cylinder. The can has a volume of 450 cubic inches and a diameter of 4 inches. To the nearest tenth of an inch, what is the height of the can? a O b C Od 35.8 inches 143.2 inches 11.8 inches 9.0 inches
I will mark brainliest to anyone who answers
The answer: A
35.8 inches
write the mixed number as an improper fraction
Answer:
[tex]\frac{19}{6}[/tex]
Step-by-step explanation:
3[tex]\frac{1}6}[/tex]
[tex]\frac{6}{6}[/tex] + [tex]\frac{6}{6}[/tex] + [tex]\frac{6}{6}[/tex] + [tex]\frac{1}{6}[/tex] [tex]\frac{6}{6}[/tex] is another name for 1 How many 6th's do we have?
[tex]\frac{19}{6}[/tex]
A study of 800 homeowners in a certain area showed that the average value of the homes was S82,000, and the standard deviation was S5000. If 50 homes are for sale, find the probability that the mean of the values of these homes is greater than $83,500. P(x > 583,500) Convert the answer to a percentage and round to the hundredth A study of 800 homeowners in a certain area showed that the average value of the homes was S82,000,and the standard deviation was $5000_ How many of these homes have a value greater than $83,500. Round to a whole number Answer:
The probability that the mean of the values of these homes is greater than $83,500 is 1.70 % .
Given :
A study of 800 homeowners in a certain area showed that the average value of the homes was S82,000, and the standard deviation was $5000. If 50 homes are for sale .
Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = x - μ / σ / [tex]\sqrt{n}[/tex]
μ = $82000, σ = 5000, n = 50. Hence for x > 83500:
= 83500 - 82000 / 5000 / [tex]\sqrt{50}[/tex]
= 2.12
Probability = 1 - 0.9830
= 0.0170
converting into percentage :
= 0.0170 * 100 %
= 1.70 %
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Which graph represents a linear function? pick all that are right.
A.
B.
C.
D.
Only the graph C represents a linear function.
What is linear function?The graph of a linear function is a straight line. The following is the form of a linear function.
a + bx = y = f(x).
One independent variable and one dependent variable make up a linear function. x and y are the independent and dependent variables, respectively.
Looking at a function's graph will reveal if it is linear or not with the greatest ease.
When a linear function is plotted on a graph, a straight line is formed.
A non-linear function is curved in some way; it does not form a straight line.
So here we can easily say that the only graph C represents the linear function,
Because it has a straight line.
Therefore, the graph C is a linear function.
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Multiply 1 over 3 multiplied by 1 over 5 . (5 points) a negative 1 over 10 b negative 1 over 15 c 1 over 15 d 1 over 10
Answer:
c 1 over 15
Step-by-step explanation:
To multiply fractions, you can multiply the numerators (top parts) and multiply the denominators (bottom parts) separately.
1/3 * 1/5 = (1 * 1) / (3 * 5) = 1/15
"double check answer"
Students performed in a play on a Friday and a Saturday. For both performances. adult tickets cost a dollars each and student tickets costs dollars each. On Friday, they sold 125 adult tickets and 65 student tickets, and collected $1.200. On Saturdas, they sold 140 adult tickets and 50 student tickets, and collect $1,230. Write a system of equations to represent this relationship.
The system of equations is
125a + 65s = 1200
140a + 50s = 1230
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
125a + 65s = 1200
140a + 50s = 1230
-3500a - 1820s = -33600
3500a + 1250s = 30750
-570s = -2850
s = $5
student
125a + 65(5) = 1200
125a + 325 = 1200
125a = 875
a = $7 adult
the other situation means that they didn't do it right at all
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LEAST TO GREATEST ( WILL GIVE BRAINIST IF CORRECT )
PLEASE HURYY
Determine the equation of the hyperbola with and vertices (6, 4) and (0, 4) and
asymptotes y = 1/3x + 3 and y = = -1/3x + 5.
The equation of a hyperbola can be written in the form:
(x-h)^2/a^2 - (y-k)^2/b^2 = 1
where (h, k) is the center of the hyperbola, a is the distance from the center to the vertices on the x-axis, and b is the distance from the center to the vertices on the y- axis.
In this case, the vertices of the hyperbola are (6,4) and (0,4), and the center of the hyperbola is at (3,4). The distance from the center to the vertices on the x- axis is 3, and the distance from the center to the vertices on the y- axis is 0.
Plugging these values into the equation for a hyperbola, we get:
(x-3)^2/3^2 - (y-4)^2/0^2 = 1
This equation is not defined, because the value of b is 0. This means that the hyperbola has a horizontal orientation, and its vertices are on the y-axis.
To find the equation of the hyperbola, we need to rewrite the equation in a different form. We can do this by using the fact that the distance between the center of the hyperbola and a point on the hyperbola is given by:
√ ((x-h)^2 + (y-k)^2) = a*√ (1 + (y-k)^2/b^2)
Substituting in the values for h, k, and a, we get:
√ ((x-3)^2 + (y-4)^2) = 3*√ (1 + (y-4)^2/0^2)
This equation can be simplified to:
√ ((x-3)^2 + (y-4)^2) = 3*√((y-4)^2/0^2)
The value of b is still 0, so the equation for the hyperbola is:
(x-3)^2 = 9*(y-4)^2
This is the equation for a horizontal hyperbola with vertices (3,4) and (9,4) and asymptotes y = 1/3x + 3 and y = -1/3x + 5.
What is an equation of the hyperbola?A hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces which is known as connected components, that are mirror images of each other and resemble two infinite bows.
Therefore, the correct answer is as given above
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A local health clinic sent fliers to its clients to encourage everyone, but especially older persons at high risk if complications, to get a flu shot in time for protection against an expected epidemic. In a pilot follow-up study, 159 clients were randomly selected and asked whether they actually received a flu shot. Y - 1 means that the client received a flu shot, whereas Y - 0 indicates that the client didn't receive a flu shot. The following predictor variables were used for the analysis X1: The client's age (continuous variable); X2: Health awareness index (continues variable, for which higher values indicate greater awareness X3: Gender (categorical variable, where 1 denoted for male and 0 for female) (a) Write down the logistic regression model for this case (b) Look at the following output. Formally, which predictors have a significant influence on the response? Using tests to confirm your answer. Analysis of Maximum Likelil Standard Model Fit Statistics Error Intercept 1177 .9824 1 0.07280.0304 1 0.0990 0.0335 1 0.4339 0.5218 Parameter DF Estimate Intercept and Criterion Intercept Only AIC SC 2 Log L Covariates 113.093 125.369 105.093 136.941 140.010 134.941 (c) Overall, is this model significant? Please conduct appropriate procedure to test it. (d) Estimate the probability for Y-1 with X 60, X2 = 30, X3 1. What would be (e) Find the odds ratio for Y-1 between male and female. Also construct a 95% confidence (f) Now we calculate the logistic regression without the predictor variables X1, X3. One your prediction for Y in this case? interval for this odds ratio wishes to know whether this model is significantly different from the previous model Please conduct appropriate procedure to test it. Model Fit Statistics Intercept and CriterionIntercept Only Covariates 136.941 140.010 134.941 Analysis of Maximum Likelihood Estimates AIC SC 2 Log L 117.196 123.334 113.196 Standard Wald Parameter DF EstimateError Chi-Square Pr> ChiSq 0.0025 .0001 Intercept 1 4913 1.6266 9.1170 x2 1 0.1193 0.0301 15.6789
(a) The logistic regression model in this case is
log(p/(1-p)) = beta0 + beta1X1 + beta2X2 + beta3×X3
where p is the probability of Y-1 (i.e. getting a flu shot), X1 is the customer's age, X2 is the health awareness index, X3 is the gender (1 for men, 0 for women), and beta0, beta1 , beta2 , and beta3 are the estimated coefficients.
(b) From the output, the predictors that have the most influence on the response are X1, X2, and X3. You can confirm this by looking at the p-value of the Wald chi-square test for each predictor. A predictor is considered significant if the p-value is less than 0.05. In this case, the p-values for all three predictors are less than 0.05, indicating that they are all significant.
(c) AIC (Akaike Information Criterion) or SC (Schwarz Criterion) values can be used to determine if the overall model is significant. A lower AIC or SC value indicates a better fit of the model to the data. In this case, both the AIC and SC values are lower for the model with all three predictors (136.941 and 134.941, respectively) compared to the intercept-only model (140.010 and 136.941, respectively). This is significant because the model fits all three predictors better.
(d) These values can be incorporated into a logistic regression model to estimate the probability of Y-1 (getting a flu shot) with X1=60, X2=30, X3=1 (men) .
log(p/(1-p)) = beta0 + beta160 + beta230 + beta3*1
Solving for p gives:
p = 1/(1+exp(-log(p/(1-p))))
You can estimate p using the maximum likelihood estimates of beta0, beta1, beta2, and beta3 provided in the output.
(e) To determine the Y-1 odds ratio for men and women, you can compare the Y-1 odds for men (X3=1) and the Y-1 odds for women (X3=0). Men's Y-1 odds are as follows:
Odds (Y-1 for men) = p/(1-p)
where p is the Y-1 probability of her being male and can be estimated using a logistic regression model and maximum likelihood estimation of the coefficients. Women's Y-1 odds can be calculated in the same way using X3=0.
To create a 95% confidence interval for the odds ratio, use the standard error of the coefficient to calculate the standard error of the log odds ratio. A 95% confidence interval can be calculated as follows:
Odds ratio +/- 1.96×standard error
(f) To test whether the model containing only the intercept is significantly different from the model containing all three predictors, a likelihood ratio test can be used. The null hypothesis is that the model with only the intercept is not significantly different from the model with all three predictors. The alternative hypothesis is that the model with only the intercept is significantly different from the model with all three predictors. The test statistic is computed as
-2×(log probability
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bella is working two summer jobs, making $10 per hour landscaping and $15 per hour clearing tables. last week bella worked a total of 15 hours and earned a total of $180. graphically solve a system of equations in order to determine the number of hours bella worked landscaping last week, x,x, and the number of hours bella worked clearing tables last week, yy.
The solution of the system of equations by the graphical methods yields x equals 9 and y is 6 i.e, 9 hours of landscaping and 6 hours of waiting tables.
Bella worked x hours working landscaping at $10 per hour.
Total amount earned = 10x
Bella worked y hours working on clearing tables at $ 15 per hour
Amount earned = 15 y
x and y are variables as given
She worked a total of 15 hours and she gets $180 for the combined efforts.
The system of equation can be represented as:
x + y = 15
10x + 15y = 180
Now we will solve the two equations graphically:
So from the attached graph we can see that the point (9,6) is the required solution.
Hence she worked landscaping for 9 hours and clearing tables for 6 hours.
Let us solve by substitution to verify the results:
x + y = 15
or, x = 15 - y
Now 10x + 15y = 180
or, 10 (15-y) + 15y = 180
or, 150 - 10y +15y = 180
or, 5y = 180 - 150
or, y = 6
At y = 6 , x = 15 - 6 = 9
Hence (9,6) is the solution.
System of equations also known as simultaneous equations can also be solved by the elimination method.
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In the Cell Styles gallery, the Currency [0] style and the Comma [0] style format the selected cell with how many decimal places?
In the Cell Styles gallery, the Currency [0] style and the Comma [0] style format the selected cell with 0 decimal places.
When numbers have values over 1000, they are formatted with commas using the comma style. For instance, the outcome displayed if we apply this style to data with a value of 100000 will be as (100,000). The 1000 (,) separator, often known as the comma style in Excel, may be found under the "Home" tab in the number section. Clicking on it will access this formatting style.
The "Accounting" format frequently uses the comma style.
The dollar sign is locked to the far left half of the cell in the normal comma style format, which also allows for up to two decimal places and 1,000 separators. In the enclosures, negative numbers are displayed.
Hence, in the Cell Styles gallery, the Currency [0] style and the Comma [0] style format the selected cell with 0 decimal places.
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it has been (mathematically) proven that there is no polynomial time algorithm for any np-complete problem.
It has been (mathematically) proven that there is no polynomial time algorithm for any np-complete problem. the given statement is false.
In order to solve previously unsolvable issues, Leonid Khachiyan developed a polynomial-time method, in which the number of processing steps increases as a power of the number of variables rather than exponentially.
Determining whether NP-complete problems are tractable or intractable remains one of the most crucial concerns in theoretical computer science since it is unknown if any polynomial-time algorithms will ever be developed for them.
So, it is unknown if any polynomial-time algorithms will ever be developed for them.
By applying different constraints, a linear function is maximized or reduced in linear programming, a mathematical modelling approach. In commercial planning, industrial engineering, and—to a lesser extent—the social and physical sciences, this method has proven helpful for directing quantitative decisions.
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Which statement describes the sequence -9,-3,3,9,15?
this is an arithmetic sequence with common difference 6
What is arithmetic sequence?
There are two approaches to define an arithmetic sequence. It is a "series where the differences between every two succeeding terms are the identical" (or) In an arithmetic sequence, "each term is obtained by adding a fixed number (positive or negative or zero) to its preceding term." The series where the common difference between any two next terms stays constant is known as the arithmetic sequence. Let's go through what a sequence is once again. A collection of numbers that follow a pattern is referred to as a sequence.
Given sequence -9,-3,3,9,15
(-3)-(-9) = 6
3 - (-3) = 6
9 - 3 = 6
15 - 9 = 6
common difference 6
Hence this is an arithmetic sequence with common difference 6
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Select all of the zero(s) of f(x)
Answer:
B, F
Step-by-step explanation:
[tex]2x^2(x-4)^2=0 \\ \\ \implies x^2=0, (x-4)^2=0 \\ \\ \implies x=0,4[/tex]
The cost of three pens and one rubber is 2.25 the cost of two pens and two rubbers is 1.90 work out how much one pen costs and how much one rubber costs
Answer:
0.65 pens
2.25 rubber
Step-by-step explanation
You can make two equations with the information given and solve them simultaneously to find x and y. Assume x is pens and y is rubber.
Do not understand this question
Answer:
A, C
Step-by-step explanation:
You want all the shapes that are enlargements of shape X, which is 1 unit high and 3 units wide.
EnlargementAn enlargement of shape X multiplies each of its dimensions by the same factor. When it is enlarged by a factor of 2, the dimensions become ...
high : wide = 1 : 3 = 2 : 6 . . . . . . matches shape C
When it is enlarged by a factor of 3, the dimensions become ...
high : wide = 1 : 3 = 3 : 9 . . . . . . . matches shape A
The 2-high shape B is too short, being 4 1/2 wide instead of 6. Shape F is too long, being 7 wide instead of 6.
The 3-high shapes D and E are too short, being 8 and 5 wide instead of 9.
__
Additional comment
An enlargement preserves the aspect ratio of the shape, the height to width ratio. Here, that is 1:3. Any shape with a different aspect ratio is not an enlargement of X.
Customers at a gas station pay with a credit card (A), debit card (B), or cash (C). Assume that successive customers make independent choices with P(A) = 0.6, P(B) = 0.3, and P(C) = 0.1. (a) Among the next 100 customers, what are the mean and variance of the number who pay with a debit card? mean customers variance customers2 (b) Answer part (a) for the number among the 100 who don't pay with cash. mean customers variance customers^2
Variance of customers who pay by card = 16
Mean number of customers = 20
Given that,
Customers at a gas station pay with a credit card (A), debit card (B), or cash (C). Assume that successive customers make independent choices with
P(A)=0.4,
P(B)=0.2,
and
P(C)=0.4
Because we are interested in whether or not a debit card was used, we can use the binomial distribution.
Let X= the number of customers who use a debit card.
Here, probability of customers who pay with debit card (or success) is
p=0.2
(a) Mean and variance of the number of customers who pay with a debit card:
The mean number of customers who pay with a debit card can be calculated as given below:
μ=np =100×0.2
=20
The variance of the number of customers who pay with a debit card can be calculated as given below:
σ²=np(1−p) =100×0.2(1−0.2)
=16
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Sean is drawing a triangle with side lengths of 8 cm, 10 cm, and 20 cm and angle measurements of 40 °, 60°, and 80°. Which statement BEST describes Sean's triangle?
The statement that best describes the type of triangle is;
The triangle is a scalene triangle and also an acute triangle.
What is the type of triangle?Triangles could be classified based on their interior angles or even the number of equal sides of the triangle. Thus;
A triangle is called an acute triangle if all three angles are less than 90°
A triangle is called a right triangle if one angle is 90°
A triangle is called an obtuse triangle if one angle is greater than 90°
A triangle is called an Equilateral triangle if all three sides are the same length
A triangle is called an Isosceles triangle if two sides are the same length
A triangle is called a Scalene triangle if all three sides are of different lengths.
We are given the three angles of the triangle as; 40 °, 60°, and 80°.
Likewise we are given the length of the three sides as 8 cm, 10 cm, and 20 cm.
Since none of the angles nor sides are equal nor 90 degrees, then we can call this a scalene triangle. It can also be classified as an acute angle as all three angles are less than 90 degrees.
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List from least to greatest! ( WILL GIVE BRANILIST IF CORRECT)
Answer:
need the numbers to do it
What is the length of the missing side of the triangle below to the nearest tenth of a centimeter?
4^2 + 6^2 = C^2
Answer:
7.2 cm
Step-by-step explanation:
You want the value of C to the nearest tenth centimeter, given that 4^2 + 6^2 = C^2.
SolutionSimplifying gives ...
4^2 + 6^2 = C^2
16 +36 = C^2 = 52
C = √52 ≈ 7.2
The length of the missing side is about 7.2 cm.
Which values for x make this inequality false? x > 8
The value of x for the inequality x > 8 is false will be;
⇒ x ≤ 8
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality is,
⇒ x > 8
Now,
Since, The inequality is,
⇒ x > 8
It is true for all values greater than 8.
Thus, This inequality is false for all values less than or equal to 8.
That is,
⇒ x ≤ 8
So, The correct solution is,
⇒ x ≤ 8
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A machine at a bakery poured out flour for 16 minutes. At the end of that time, the machine was empty. The graph shows the amount of flour (in grams)
remaining in the machine versus time (in minutes).
Find the domain and the range of the function shown.
Amount
of flour 500
(grams)
300-
Time (minutes)
Write your answers as inequalities, using x or y as appropriate.
Or, you may instead click on "Empty set" or "All reals" as the answer.
España
8
Answer:
Step-by-step explanation:
domain 800 and range 16
consider the following page reference string: 7, 2, 3, 1, 2, 5, 3, 4, 6, 7, 7, 1, 0, 5, 4, 6, 2, 3, 0, 1. assuming demand paging with three frames, how many page faults would occur for the following replacement algorithms? lru replacement fifo replacement optimal replacement
FIFO replacement: Faults: 17
Optimal replacement: Faults: 14
LRU replacement: Faults: 18
FIFO replacement: FIFO, or First In First Out, is one of the several kinds of page replacement algorithms. In an operating system, the paging technique for managing memory chooses which existing page needs to be replaced in the queue using the FIFO algorithm.
Optimal replacement: The best page replacement algorithm is optimal page replacement since it generates the fewest page defects. The pages that won't be used for the longest period of time in the future are substituted for them in this method.
LRU replacement: The memory's least recently utilized page is replaced with a fresh page via the LRU page replacement mechanism. The least recently used page in the RAM will not be used for a considerable amount of time, according to the LRU page replacement method.
The image containing all the faults are attached below:
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The kinetic energy, k, the amount of energy that a moving object has, can be found for a particular roller coaster by the radical function v equals the square root of the quantity 2 times k over the 1,000 period If the velocity, v, of the roller coaster is 20 meters per second, what is the kinetic energy?
The kinetic energy is 50000 Joules.
What is kinetic energy?
Kinetic energy is the power behind motion. According to the fundamental definition of energy as the ability to perform work, the SI unit for energy is the joule, which is equal to one newton times one metre. An object's kinetic energy is the power it has as a result of motion.
The kinetic energy of the roller coaster is 2000Joules
velocity, [tex]v=\sqrt{2k/1000}[/tex]
velocity given= 20m/s
[tex]10=\sqrt{2k/1000}[/tex]
squaring both sides
[tex]10^{2}= 2k/1000[/tex]
[tex]100=2k/1000\\2k=100000\\k=50000Joule[/tex]
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Answer: K = 200,000
Step-by-step explanation:
20=square root of 2k/1000
20^2= square root 2k/1000 squared
400=2k/1000
400,000=2k
k = 200,000