Answer:
How many volunteers worked a total of 4 hours
Step-by-step explanation:
Its right i got a one hundred my test
Answer:
How many volunteers worked at a total of 4 hours?
Step-by-step explanation:
Howdoyouwrite
4
5
asapercentage?
Answer:
80%
Step-by-step explanation:
4/5 as a percentage would be 8/10ths, or 80%
By multiplying the fraction to get a denominator of 10, you get 8 over 10. Therefore it would be 80 percent of 100.
Emma brought $23. 75 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1 /4 as much as the sketchbook, and the sketchbook cost 2/ 3 the cost of the paint set. Emma had $4. 50 left over after buying these items
The cost of the brush is $ 1.75 , The cost of the paint set is $ 10.5 and
The cost of the sketchbook is $ 7
The total amount Emma has is $23.75
Let the cost of paint set = x
Cost of sketchbook = 2x/3
Cost of brush = (1/6)x
23.75 = x + 2x/3 + x/6 + 4.50
23.75 - 4.50 = (6x + 4x +x)/6
19.25 × 6 = 11x
x = 10.5
Cost of sketchbook = 2x/3
Cost of sketchbook = (2 × 10.5)/3
Cost of sketchbook = 7
Cost of brush = (1/6)x
Cost of brush = (1/6)10.5
Cost of brush = 1.75
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Under what operations is the system of polynomials not closed?.
Answer:
Polynomials form a system similar to the system of integers, in that polynomials are closed under the operations of addition, subtraction, and multiplication.
...
Polynomials: YES or NO
3x½ NO - exponent is not a whole number
2x-3 NO - exponent is not a whole number. Negative exponent places x3 in denominator.
Step-by-step explanation:
A data set has 20 elements. A second data set of 20ciements is obtained by adding 7 to each element of thefirst set. A third data set of 20 elements is obtained bymultiplying each element of the second data set by 3.The median of the third data set is 63. What is the medi-an of the first data set?A.7B.14C.21D.196E.210
The first step to answer this question is to divide the median by 3.
\(\frac{63}{3}=21\)Now, substract 7 from the result:
\(21-7=14\)The answer is B. 14.
describe fully the single transformation which takes shape A to shape B .
please help me !!
The single transformation from shape A to shape B is;
(1, 6); (x, y) → (y + 1, x + 5)
(5, 6); (x, y) → (y + 1, x - 3)
(3, 8); (x, y) → (y + 1, x + 1)
How to find the transformation?We know that in transformation, it could either be a reflection, a dilation, a translation e.t.c.
Now, let us look at the shapes A and B to find their coordinates.
Coordinates of Shape A are; (1, 6), (5, 6), (3, 8)
Coordinates of Shape B are; (7, 6), (7, 2), (9, 4)
Since the transformed shape B is to the right of the original shape A, then we can suggest that the first transformation is a reflection about the line x = 6. Thus, this is; (x, y) → (y, x)
The transformation of shape A following (x, y) → (y, x) is;
A'(6, 1), B'(6, 5), C'(8, 3)
Comparing that to the coordinates of shape B, we can say that the transformations are;
(1, 6); (x, y) → (y + 1, x + 5)
(5, 6); (x, y) → (y + 1, x - 3)
(3, 8); (x, y) → (y + 1, x + 1)
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hi i need help with this algebra vocabulary please
Answer:
slope
Step-by-step explanation:
The slope is the rise divided by the run
Answer: The slope.
Step-by-step explanation: That's what I think.
determine if each of the numbers below is a solution to the inequality 3x-2<2-2x
The solution set of the inequality 3x-2 < 2-2x is:
(4/5, ∞)
Which numbers are solutions for the inequality?To find this we need to isolate the variable in the inequality.
Here we have:
3x - 2 < 2 - 2x
add 2x in both sides and add 2 in both sides, then we will get:
3x + 2x < 2 + 2
5x < 4
Now we can divide both sides by 5 to get:
x < 4/5
That is the inequality solved.
Then the solution set of the inequality is:
(4/5, ∞)
The set of all real numbers larger than 4/5.
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Find the H.C.F. of 567 and 255 using Euclid’s division lemma.
Step-by-step explanation:
To find the Highest Common Factor (H.C.F.) of 567 and 255 using Euclid's division lemma, we can follow these steps:
Step 1: Apply Euclid's division lemma:
Divide the larger number, 567, by the smaller number, 255, and find the remainder.
567 ÷ 255 = 2 remainder 57
Step 2: Apply Euclid's division lemma again:
Now, divide the previous divisor, 255, by the remainder, 57, and find the new remainder.
255 ÷ 57 = 4 remainder 27
Step 3: Repeat the process:
Next, divide the previous divisor, 57, by the remainder, 27, and find the new remainder.
57 ÷ 27 = 2 remainder 3
Step 4: Continue until we obtain a remainder of 0:
Now, divide the previous divisor, 27, by the remainder, 3, and find the new remainder.
27 ÷ 3 = 9 remainder 0
Since we have obtained a remainder of 0, the process ends here.
Step 5: The H.C.F. is the last non-zero remainder:
The H.C.F. of 567 and 255 is the last non-zero remainder obtained in the previous step, which is 3.
Therefore, the H.C.F. of 567 and 255 is 3.
A television is advertised by giving the approximate length of the diagonal of its screen.If a television screen measures approximately 20 in. high and 32 in. wide, which of the following approximate measures should be used to advertise it?
The situation forms a rectangle, composed of 2 right triangles:
Since it's a right triangle, we can apply the Pythagorean theorem:
c^2 = a^2 + b^2
Where:
c = hypotenuse (the longest side ) = x
a & b = the other 2 legs of the triangle
Replacing with the values given:
x^2 = 20^2 +32^2
Solve for x:
x^2 = 400 + 1,024
x^2 = 1,424
x= √1,424
x= 37.73
Correct option: 37.7 in
A direct relationship between two variables is reflected in a(n) _____ correlation coefficient.
A direct relationship between two variables is reflected in a "POSITIVE" correlation coefficient.
Correlation is a statistical technique for measuring and describing the relationship between two variables.
The variables move in the same direction when they have a positive correlation. In other words, as one variable increases, so does the other, and conversely, as one variable decreases, so does the other.
Typically, the two variables are simply observed rather than manipulated. Two scores from the same individuals are required for the correlation.
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Write the sum using sigma notation: -2-6-18+... - 1458
i=1
Check Answer
The sum of the given sequence is 1,088,969.
When using sigma notation the lower limit is 1 and the upper limit is the last number which in this case is 1458. The sigma notation for this sum would then be:
∑i=1-1458 (-2 - 6 - 18 + i)
Break this apart equation into two parts:
∑i=1-1458 (-2 - 6 - 18) + ∑i=1-1458 (i)
The first part is a constant that can just be written out as a single number. The second part is the sum of the sequence from 1 to 1458. This sum can be calculated using the formula (n * (n + 1)) / 2.
Plugging in 1458 for n in the formula, the sum of the sequence is
(1458 * 1459) / 2 = 2,177,982 / 2 = 1,088,991
So, the solution to the above sum is
-2 - 6 - 18 + 1,088,991 = 1,088,969
Therefore, the sum of the given sequence is 1,088,969.
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Write the equation of the line that passes through the points (-8,-1) and (−2,9). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
not sure if understood you; slope: (-1-9)/(-8+2)=-10/-6=5/3, y-int: -1-(-40/3)=37/3; y=5/3x+37/3
There are 60 sheets of papers in each pack. How many packs are needed to arrange for 5432 sheets?
Answer:
90 8/15 hope this helps byee
Solve 15w = -365, showing good algebra format in your work.
Hey there!
\(Answer:\boxed{\text{w}=\frac{-73}{3}}\)
\(Explanation:\)
\(15w=-365\)
15w/15 = -365/15 Divide both sides by 15
w = -73/3
Hope this helps!
If you were told the utilization of an M/M/1 model is 0.6, what percentage of the time is there at least one person in the system? 40% 60% 50% Impossible to tell from this information If you're told that the utilization rate for an M/M/1 model is 0.8 and the average number of people in the system is 4 , what is the average number of people in queue? 5 0.8 Impossible to tell from this information 6.4 3.2
If the utilization of an M/M/1 model is 0.6, the c of time there is at least one person in the system is 100%.
In an M/M/1 model, the utilization represents the ratio of the arrival rate (λ) to the service rate (μ). If the utilization is less than 1, it means that the arrival rate is lower than the service rate, and the system is not fully utilized. However, even with a utilization of 0.6, there will still be instances where there is at least one person in the system. This is because the arrival rate is not zero, indicating that customers are still arriving, albeit at a lower rate compared to the service rate. Therefore, the percentage of time with at least one person in the system would be 100%. If you are told that the utilization rate for an M/M/1 model is 0.8 and the average number of people in the system is 4, it is impossible to determine the average number of people in the queue without further information. The average number of people in the queue depends on factors such as the arrival rate and service rate, which are not provided in this scenario. The utilization rate alone and the average number of people in the system do not provide sufficient information to calculate the average number of people in the queue accurately. Therefore, it is impossible to determine the average number of people in the queue based solely on the given information.
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!!PLEASE HELP!!
find the roots of the polynomial equation x^3-4x^2+x+26=0
A. 3 +- 2i, -2
B. -3 +- 2i, -2
C. 3 +- 2i, 2
D. -3 +- 2i, 2
Answer:
The correct answer would be A.
Step-by-step explanation:
Identify a factor of the polynomial equation x^3-4x^2+x+26=0 by using synthetic division or the Rational Root Theorem. In this case, x = -2 is a root.
Divide the polynomial by (x + 2) using synthetic division to get a quadratic factor, x^2-6x+13.
Use the quadratic formula to find the roots of the quadratic factor. The roots are 3 + 2i and 3 - 2i.
Lin has a summer reading assignment. After reading the first 30 pages of the book, she plans to read 40 pages each day until she finishes. Lin makes the graph shown here to track how many total pages she'll read over the next few days.
After day 1, Lin reaches page 70, which matches the point (1,70) She made it on her graph. After day 4, Lin reaches page 190, which does not match the point (4,160) She made it on her graph. Lin is not sure what went wrong since she knows she followed her reading plan.
Sketch a line showing Lin's original plan on the axes.Click on the graph and select edit to complete the graph. Once done, hit save and close to see your completed graph.
What does the vertical intercept mean in this situation? How do the vertical intercepts of the two lines compare?
What does the slope mean in this situation? How do the slopes of the two lines compare?
1. The graph of Lin mistake is shown below.
2. The Vertical intercept of Lin graph is less than the correct graph.
3. The slope of Lin graph (m= 30) is less than Correct graph (m=40).
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
1. Lin started with reading 30 pages.
Then, after 1sr day she will read the 40 pages per day.
So, if number of days represented by x- coordinates and number pages pages by y- coordinate we get
On first day (0. 30)
On second day (1, 30+40)= 91. 70)
On third day (2, 70+40)= (2, 110)
On fourth day (3, 110+40) = (3, 150)
and, On fifth day (4, 150+40)= (4, 190)
Hence, Line made mistake as after 4 days he completed 190 pages.
2. The Vertical intercept of Lin graph is less than the correct graph.
3. The slope of Lin graph (m= 30) is less than Correct graph (m=40).
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The financial planner for a beauty products manufacturer develops the system of equations below to determine how many combs must be sold to generate a profit. the linear equation models the income, in dollars, from selling x plastic combs; the quadratic equation models the cost, in dollars, to produce x plastic combs. according to the model, for what price is each comb being sold?
The income that's made based on the equation when 1 comb is sold is $0.5.
How to calculate the price?From the information given, the equation is given as y = x/2. In this case, it was illustrated that the income is depicted based on the combs sold.
Therefore, the income by selling 1 comb will be:
y = 1/2
y = $0.5
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Take the positive x-direction as east, the negative x-direction as west, the positive y-direction as north, and the negative y-direction as south flike reading map). Given a vector
A
of magnitude 6.20 pointing south, what is the x component of this vector? Take the positive x-direction as east, the negative x-direction as west, the positive y-direction as north, and the negative y-direction as south (like reading a map). Given a vector
A
of magnitude 6.20 pointing south, what is the x component of this vector? Your Answer: Answer
The x-component of a vector of magnitude 6.20 pointing south is 0.
Since the vector is pointing south, it means it is in the negative y-direction. However, we are asked to find the x-component of the vector. Since the vector is purely in the y-direction (south), it does not have any x-component. Therefore, the x-component of the vector is 0.
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smith is in jail and has 3 dollars; he can get out on bail if he has 8 dollars. a guard agrees to make a series of bets with him. if smith bets a dollars, he wins a dollars with probability .4 and loses a dollars with probability .6. find the probability that he wins 8 dollars before losing all of his money if
Therefore, the probability that Smith wins 8 dollars before losing all of his money is approximately 0.0479.
To solve this problem, we can use a probability tree diagram to visualize the different possible outcomes.
At each stage, Smith either wins a dollars or loses a dollars, until he either reaches 8 dollars (and wins) or 0 dollars (and loses). We can calculate the probability of each outcome by multiplying the probabilities of the branches leading to that outcome.
Starting with 3 dollars, there are two possible outcomes:
Smith wins a dollar with probability 0.4, leaving him with 4 dollars.
Smith loses a dollar with probability 0.6, leaving him with 2 dollars.
From 4 dollars, there are three possible outcomes:
Smith wins a dollar with probability 0.4, leaving him with 5 dollars.
Smith loses a dollar with probability 0.6, leaving him with 3 dollars.
Smith wins 4 dollars with probability 0.4 * 0.4 = 0.16, leaving him with 7 dollars.
From 5 dollars, there are two possible outcomes:
Smith wins a dollar with probability 0.4, leaving him with 6 dollars.
Smith wins 3 dollars with probability 0.4 * 0.4 = 0.16, leaving him with 8 dollars.
From 6 dollars, there are two possible outcomes:
Smith wins 2 dollars with probability 0.4 * 0.4 = 0.16, leaving him with 8 dollars.
Smith loses a dollar with probability 0.6, leaving him with 5 dollars.
From 7 dollars, there is one possible outcome:
Smith wins 1 dollar with probability 0.4, leaving him with 8 dollars.
Therefore, the probability that Smith wins 8 dollars before losing all of his money is the sum of the probabilities of the outcomes that lead to winning 8 dollars, which is:
0.4 * 0.6 * 0.4 * 0.4 + 0.4 * 0.6 * 0.4 * 0.6 * 0.4 + 0.4 * 0.6 * 0.4 * 0.4 * 0.6 * 0.16 + 0.4 * 0.6 * 0.4 * 0.4 * 0.4 * 0.4 * 0.16 = 0.047872
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. an olympic-size swimming pool is approximately 50 meters long by 25 meters wide. what distance will a swimmer travel if they swim from one comer to the opposite?
The distance a swimmer will travel if they swim from one corner to the opposite corner of an Olympic-size swimming pool is approximately 62.2 meters
The distance a swimmer will travel if they swim from one corner to the opposite corner of an Olympic-size swimming pool is approximately 62.2 meters. This can be calculated using the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. In this case, the length of the pool is one side of the right triangle, the width of the pool is the other side of the right triangle, and the distance the swimmer travels is the hypotenuse.
Using the Pythagorean theorem, we can calculate the distance the swimmer travels as follows:
a² + b² = c²
where a is the length of the pool (50 meters), b is the width of the pool (25 meters), and c is the distance the swimmer travels.
To solve for c, we can plug in the values for a and b and simplify as follows:
50² + 25² = c²
500 + 625 = c²
125 = c²√3
125 = c
Approximately 62.2 meters (rounded to one decimal place)
Therefore, the distance a swimmer will travel if they swim from one corner to the opposite corner of an Olympic-size swimming pool is approximately 62.2 meters.
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1. A manager has formulated the following LP problem. Draw the graph and find the optimal solution. (In each, all variables are nonnegative).
Maximize: 10x+15y, subject to 2x+5y ≤ 40 and 6x+3y ≤ 48.
The LP problem is to maximize the objective function 10x+15y subject to the constraints 2x+5y ≤ 40 and 6x+3y ≤ 48. By graphing the constraints and identifying the feasible region, we can determine the optimal solution.
To find the optimal solution for the LP problem, we first graph the constraints 2x+5y ≤ 40 and 6x+3y ≤ 48. These constraints represent the inequalities that the variables x and y must satisfy. We plot the lines 2x+5y = 40 and 6x+3y = 48 on a graph and shade the region that satisfies both constraints.
The feasible region is the area where the shaded regions of both inequalities overlap. We then identify the corner points of the feasible region, which represent the extreme points where the objective function can be maximized.
Next, we evaluate the objective function 10x+15y at each corner point of the feasible region. The point that gives the highest value for the objective function is the optimal solution.
By solving the LP problem graphically, we can determine the corner point that maximizes the objective function. The optimal solution will have specific values for x and y that satisfy the constraints and maximize the objective function 10x+15y.
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In a basketball game, Alana scores twice as many points as Taylor. Taylor scores four points fewer than Nancy, and Nancy scores three
times as many points as Molly. If Molly scores 6 points, how many points did Alana score?
Determine your answer by first determining how many points each other player scored:
1. Nancy scores
2. Taylor sco res
3. Alana scores
points.
points.
points.
You have $109 in the bank and your parents just gave you $281 for your birthday. Now you have exactly enough money to buy a laptop. How much does the laptop cost? Write an equation to represent the question. Use x as the variable.
Answer:
$109+$281=x when x=391
so that means a laptop equals $391 dollars
Do these have the same value? 2 to the power of 3 and 3 to the power of 2?
Plz i need really hep with this one!
Answer:
No
Step-by-step explanation:
2 to the power of 3 is: 2×2×2=8
3 to the power of 2 is: 3×3=9
Answer:
no these don't have the same powers
Step-by-step explanation:
2the power 3 =8 and 3the power 2 is 9..hope it's help ful
Find the exact value of the trigonometric function given that in u = − 8 17 and co v = − 9 41. (Both u and v are in Quadrant III. ) ec(v − u)
Answer:
343
Step-by-step explanation:
If a confidence interval for a difference in proportions (p1-p2) is (-6%, 12%), which of the following is a correct conclusion? We are not sure which of p1 or p2 is larger. We will claim p1 is smaller than p2. We will claim p1-p2. We will claim p1 is larger than p2. Question 42 1 pts
If a confidence interval for a difference in proportions (p1-p2) is (-6%, 12%), the correct conclusion is that we are not sure which of p1 or p2 is larger.
The confidence interval includes both positive and negative values, indicating that the difference could be positive (p1 is larger than p2), negative (p1 is smaller than p2), or even zero (p1 is equal to p2). Therefore, based on the given confidence interval, we cannot make a definitive claim about the relative sizes of p1 and p2.
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The following addition problem is not correct if the numbers are interpreted as base 10. In what number base is the problem correct? 66 87 85 48
The base is 24.
Let the base be b. we know that b>8
If we added everything, it would look something like this:
66 + 87 + 85 + 48
=132
Adding up the one's digit gives us 26, so we have 26 mod b=2
The only options for b are b = 12 or 24.
If b = 12, the sum of the one's digit would be \(22_{12}\) so we could carry the 2 to the tens column. Adding everything up would give us \(24_{12}\) the answer is \(242_{12}\)
That means the base is 24.
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Find the median for the following set of numbers.
4, 18, 3, 29, 23
0 29
3
18
04
Answer:
3 is the median
Step-by-step explanation:
the median is just the middle number, the number in the middle of a sequence
3 is perfectly in the middle
hope this helps chu <3
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
The slope of the line shown in the graph is _____
and the y-intercept of the line is _____ .
The slope of the line shown in the graph is __2/3__
and the y-intercept of the line is __6___
How to find the slope and the y-intercept?The general linear equation is written as follows:
y = ax + b
Where a is the slope and b is the y-intercept.
On the graph we can see that the y-intercept is y = 6, then we can write the line as:
y = ax + 6
The line also passes through the point (-9, 0), replacing these values in the line we will get:
0 = a*-9 + 6
9a = 6
a = 6/9
a = 2/3
That is the slope.
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