5+2/3x2=
Apply the order of operations t simplify each Expression
Answers
The simplified value of the expression 5 + (2/3) × 2 is 19/3. we perform the operations correctly and obtain the accurate result.
The expression 5 + (2/3) × 2 can be simplified using the order of operations.
The order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right), helps us determine the sequence in which mathematical operations should be performed.
Let's simplify the expression step by step:
Step 1: First, we evaluate the multiplication within the parentheses.
(2/3) × 2 = 4/3
Step 2: Now, we add 5 to the result from Step 1.
5 + (4/3) = (15/3) + (4/3) = 19/3
Therefore, the simplified value of the expression 5 + (2/3) × 2 is 19/3.
Applying the order of operations ensures that we perform the operations correctly and obtain the accurate result.
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Related Questions
What is a mathematical expression in linear programming that maximizes or minimizes some quantity?.
Answers
The term "Objective Function" refers to a mathematical model in linear programming which maximizes as well as minimizes some quantity.
What is termed as the Objective Function?To solve optimization problems, the objective function is required. An objective function is a linear representation of a form Z = ax + by, for which a, b are constraints and x, y are variables that must be maximized or minimized. The decision variables are variables x and y. A few constraints govern an objective function, among them are x > 0, y > 0. Linear Programming (LP): The notion of linear programming is concerned with determining the optimal value of such a linear function, also known as an objective function. The term linear refers to all of the mathematical relationships applied to the problem, and the term program makes reference to the method used to determine a specific program or plan of action.Thus, in either a mathematical optimization problem, the objective function is the real-valued function for whom value must be minimized or maximized well over set of feasible alternatives.
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The calculation of SNN distance does not take into account the position of shared neighbors in the two nearest neighbor lists. In other words, it might be desirable to give higher similarity to two points that share the same nearest neighbors ranked higher in the nearest neighbor lists. Describe how you might modify the definition of SNN similarity to achieve that. Justify your modification.
Answers
By incorporating this information into the similarity measure, we can produce more accurate and informative results in clustering and classification tasks.
To modify the definition of clustering similarity to take into account the position of shared neighbors in the two nearest neighbor lists, we can introduce a weighting factor that considers the rank of the shared neighbor in each list. This can be achieved by multiplying the regular SNN similarity value by a weight factor that is calculated as the reciprocal of the sum of the ranks of the shared neighbors in the two lists. For example, if two points have a shared neighbor that is ranked 2nd in one list and 3rd in the other list, the weight factor would be 1/(2+3) = 0.2. This weight factor would then be multiplied by the regular SNN similarity value to produce a modified SNN similarity score that gives higher similarity to points that share the same nearest neighbors ranked higher in the nearest neighbor lists. This modification is justified because it takes into account the fact that having shared neighbors that are ranked higher in the nearest neighbor lists is a stronger indicator of similarity than having shared neighbors that are ranked lower.
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Three vertices of GHIJ are G(0,0), H(2, 3), and J(6, 1). Use the grid to the right to complete Problems 10–16. 10. Plot vertices G, H, and J on the coordinate plane. 11. Find the rise (difference in the y-coordinates) from 3 G to H. 0 12. Find the run (difference in the x-coordinates) from Gto H. 13. Using your answers from Problems 11 and 12, add the rise to the y-coordinate of vertex J and add the run to the x-coordinate of vertex J. The coordinates of vertex / are 14. Plot vertex I. Connect the points to draw GHIJ. 15. Check your answer by finding the slopes of IH and JG. slope of IH slope of JG 16. What do the slopes tell you about IH and JG?
Answers
10. We will graph the coordinates of the vertices in the plane:
11. From G to H, we can find the ris by looking at the difference between their y-coordinates:
\(y_h-y_g=3-0=3\)The rise is 3.
12. The difference in x coordinates is:
\(x_h-x_g=2-0=2\)The run is 2.
13. If we add the rise and the run to J, we get the coordinates of I:
\(\begin{gathered} x_i=x_j+2=6+2=8 \\ y_i=y_j+3=1+3=4 \\ I=(8,4) \end{gathered}\)14. We add I(8,4) to the plot and connect the points:
15. We have to calculate the slopes of IH and GJ:
\(m_{ih}=\frac{y_i-y_h}{x_i-x_h}=\frac{4-3}{8-2}=\frac{1}{6}\)\(m_{jg}=\frac{y_j-y_g}{x_j-x_g}=\frac{1-0}{6-0}=\frac{1}{6}\)Both slopes have the same value: m_ih = m_jg = 1/6.
16. As the slopes are equal, that tells us that the segments are parallel.
Find the slope of a line crossing through the following points: (4, -3) and (10,-7). (Answer in a simplified fraction if necessary... Example: 4/5)
Answers
(y2-y1)/(x2-x1)
(-7 - (-3))/(10 - 4)
-10/6
-5/3
Which theorem has two sides and a non-included angle?
Answers
Angle-Angle-Side (AAS) Theorem has two sides and a non-included angle.
What is Angle-Angle-Side (AAS) Theorem?The triangles are congruent if two angles and a non-included side in one triangle are congruent with two angles and the corresponding non-included side in another triangle, according to the Angle-Angle-Side (AAS) Congruence Theorem.The side-angle-side (SAS) theorem is the first such theorem. The triangles are congruent if two sides and the included angle of one triangle are equivalent to two sides and the included angle of another triangle.When two angles and an unincluded side of one triangle are equal to two angles and the corresponding unincluded side of the other triangle, two triangles are said to be congruent (AAS=AAS).To learn more about Angle-Angle-Side (AAS) Theorem refer to:
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Aaron has 47 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth side of the enclosure would be the river.) The area of the land is 266 square meters. List each set of possible dimensions (length and width) of the field.
Answers
The possible dimensions (length and width) of the field are:(10 m × 13 m) or (13 m × 10 m) and (11 m × 12 m) or (12 m × 11 m).
Given that Aaron has 47m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. The fourth side of the enclosure would be the river.
The area of the land is 266 square meters.To find the possible dimensions (length and width) of the field, we can use the given information.The length of fencing required = 47 m.
Since the fence needs to be built on three sides of the rectangular plot, the total length of the sides would be 2l + w = 47.1. When l = 10 and w = 13, we have:
Length of the field, l = 10 m Width of the field, w = 13 mArea of the field = l × w = 10 × 13 = 130 sq. m2. When l = 11 and w = 12,
we have:Length of the field, l = 11 m
Width of the field, w = 12 m
Area of the field = l × w = 11 × 12 = 132 sq. m
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I need help ASAP!! Finding the angle Please help me
Answers
Answer:
Does the answer help you?
\(\\ \sf\longmapsto Sin\Theta=\dfrac{P}{H}\)
\(\\ \sf\longmapsto sin\Theta=\dfrac{49}{52}\)
2decimal places:-\(\\ \sf\longmapsto sin\Theta=0.94\)
\(\\ \sf\longmapsto sin\Theta=sin71°\)
\(\\ \sf\longmapsto \Theta=71°\)
Or
\(\\ \sf\longmapsto cos19°\)
1decimal place:-\(\\ \sf\longmapsto sin\Theta=0.9\)
\(\\ \sf\longmapsto sin\Theta=sin70\)
\(\\ \sf\longmapsto \Theta=70°\)
Or\(\\ \sf\longmapsto cos20°\)
Here are the amounts of money (cents) in coins carried by 10 students in a statistics class: 50, 35, 0, 46, 86, 0, 5, 47, 23, 65. to make a stemplot of these data, you would use stems.
a. 0, 2, 3, 4, 6, 8
b. 0, 1, 2, 3, 4, 5, 6, 7, 8
c. 0, 3, 5, 6, 7
d. 00, 10, 20, 30, 40, 50, 60, 70, 80, 90
e. None of these
Answers
The stems are 0, 2, 3, 4, 5, 6, 8. Therefore option e, is the correct answer
Stem and leaf plot are used in statistics to organize data that are collected. Any number in a data is broken down into a stem and a leaf.
Stem displays data on the left while leaf displays data to the right
The data for the amounts of money (cents) in coins carried by 10 students in a statistics class: 50, 35, 0, 46, 86, 0, 5, 47, 23, 65 can be represented in the stem and leaf plot below:
2 I 3 ⇒ 2 on the stem and 3 on the leaf read as 23
3 I 5 ⇒ 3 on the stem and 5 on the leaf read as 35
4 I 6 ⇒ 4 on the stem and 6 on the leaf read as 46
4 I 7 ⇒ 4 on the stem and 7 on the leaf read as 47
5 I ⇒ 5 on the stem as 5
5 I 0 ⇒ 5 on the stem and 0 on the leaf read as 50
6 I 5 ⇒ 6 on the stem and 5 on the leaf read as 65
8 I 6 ⇒ 8 on the stem and 6 on the leaf read as 86
Hence, stems are 0, 2, 3, 4, 5, 6, 8
Therefore, option e, is the correct answer
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pls help it's due today
Answers
Answer: D. 96.
Step-by-step explanation:
Answer:
The answer is D.
plz help I'd be highly appreciated
Answers
Answer:
B
Step-by-step explanation:
Formula
1/2*h(b1+b2)
Substitute 5 for h, 7 for b1 and 10 for b2
1/2*5(7+10)
Add 7 and 10 together
1/2*5(17)
Divide 5 by 2
2.5(17)
Multiple
42.5
What are the factors of the polynomial P x x3 5x2 2x 8?.
Answers
By usinf Divison method and Prime Factorization, the factors of the polynomial are x=1,2,2
Short explanation of what polynomials are?A polynomial is an expression made up of variables, constants, and exponents that is combined using mathematical operations such as addition, subtraction, multiplication, and division.
cubic polynomial = x³ - 5x² + 8x - 4
suppose x = 1 ,
x - 1 = 0
So, one of the factor = (x - 1)
Now,
By Division method
x³ - 5x² + 8x - 4 = Dividend
x - 1 = Divisor
x² - 4x + 4 = Quotient
Now for x² - 4x + 4
x² - 2x- 2x + 4
(x-2)(x-2)
x=2,2
so, factors are x=1,2,2
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. if you start with 1/4, you can create an entire class of fractions equivalent to 1/4 like the one above, by multiplying 1/4 by different forms of what number?
Answers
If you start with 1/4, you can create an entire class of fractions equivalent to 1/4 by multiplying 1/4 by different forms of the number 1.
What are fractions?The connection between two numbers, known as the numerator and the denominator, is expressed mathematically as fractions. The number of pieces is represented by the numerator, while the total number of components is represented by the denominator. For instance, if a pizza is cut into 8 slices and someone eats 3 of them, the fraction corresponding to the quantity consumed would be 3/8.
Diverse mathematical ideas, including division, ratios, and proportions, can be represented using fractions. They can also be used to represent decimal and percentage values, with the decimal point placed to the right of the numerator and the number of decimal places represented by the denominator.
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i need more help
ill give brainiest to first person to answer
Answers
-4=-4
n=-6 IS THE ANSWER
A step change of magnitude 4 is introduced into a system having the following transfer function: X(s) / Y(s) = 10/s²+1.6s+4
Find: a) Y(t); b) Percent overshoot; c) Ultimate value of Y(t); d) Maximum value of Y(t) and e) Period of oscillation.
Answers
Transfer function of the system is:X(s)/Y(s) = 10/(s^2+1.6s+4)We need to find the following:
a) Y(t); b) Percent overshoot; c) Ultimate value of Y(t); d) Maximum value of Y(t) and e) Period of oscillation.
(a) Calculation of Y(t):The transfer function of the system isX(s)/Y(s) = 10/(s^2+1.6s+4)Now, applying the Laplace inverse on both sides,Y(s) = 10/(s^2+1.6s+4) × X(s)Taking the inverse Laplace of Y(s),y(t) = L^-1 {10/(s^2+1.6s+4) × X(s)}Using partial fraction decomposition to find the inverse Laplace of Y(s), we get:y(t) = 1.2508{ 2.22 e^(-0.8t) - 0.22 e^(-3.2t)}Therefore, the value of Y(t) is 1.2508{ 2.22 e^(-0.8t) - 0.22 e^(-3.2t)}.
(b) Calculation of percent overshoot:The transfer function of the system isX(s)/Y(s) = 10/(s^2+1.6s+4)The damping ratio (ζ) can be given asζ = 1/2 √(ζ²-4)ζ = 1/2 √(1.6²-4)ζ = 0.6For a second-order system with a damping ratio of 0.6, the percent overshoot is given as:%OS = e^(-ζπ/√(1-ζ²)) × 100%OS = e^(-0.6π/√(1-0.6²)) × 100OS = 26.12%Hence, the percent overshoot is 26.12%.
(c) Calculation of the ultimate value of Y(t):The transfer function of the system isX(s)/Y(s) = 10/(s^2+1.6s+4)For the ultimate value of Y(t), we take the limit of sY(s) as s tends to 0.The value of Y(s) is given as:Y(s) = 10/(s^2+1.6s+4) × X(s)On simplifying the above equation, we get:sY(s) + 1.6 Y(s) + 4 Y(s) = 10 X(s)Now, taking the limit of sY(s) as s approaches 0,sY(s) = lim s→0 sY(s) = 0Therefore, 1.6 Y(s) + 4 Y(s) = 10 X(s)Taking the limit of Y(s) as s approaches 0,0 = 10 X(0)Y(0) = 2.5Hence, the ultimate value of Y(t) is 2.5.
(d) Calculation of the maximum value of Y(t):The maximum value of Y(t) is given as:Ymax = 2.5 + (1+ζ²)^0.5 e^(-ζπ/√(1-ζ²)) / (ζ√(1-ζ²))The value of ζ is 0.6Hence, substituting the value of ζ in the above equation, we get:Ymax = 2.5 + (1+0.6²)^0.5 e^(-0.6π/√(1-0.6²)) / (0.6√(1-0.6²))Ymax = 3.129
(e) Calculation of the period of oscillation: The period of oscillation is given as:T = 2π / ωnWhere,ωn = √(1-ζ²) / (2ζ)Therefore,ωn = √(1-0.6²) / (2 × 0.6)ωn = 1.302Therefore,T = 2π / ωnT = 4.830sHence, the period of oscillation is 4.830s.
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A, B, and C are collinear points, where B is between A and C. Find x if AB = x, BC = x + 6, and AC = 24. Then find the measures of AB and BC by substituting x back into the equation.
Answers
Answer:
AB = 9, BC = 15
Step-by-step explanation:
Since, A, B, and C are collinear points, where B is between A and C. i. e. A - B - C
\(\therefore AC = AB + BC\\
\therefore 24 = x + x + 6\\
\therefore 24 = 2x + 6\\
\therefore 24 - 6 = 2x \\
\therefore 18 = 2x \\
\therefore \: \frac{18}{2} = x \\ \therefore \: x = 9\)
\(\therefore AC = AB + BC\\
\therefore 24 = x + x + 6\\
\therefore 24 = 2x + 6\\
\therefore 24 - 6 = 2x \\
\therefore 18 = 2x \\
\therefore \: \frac{18}{2} = x \\ \therefore \: x = 9 \\ \because \: AB = x \\ \huge \red{ \therefore AB = 9} \\ \\ \because \:BC = x + 6 \\ \therefore \: BC = 9 + 6 \\ \huge \purple{ \therefore \: BC = 15}\)
(6.-1);y=-5x+3
slope intercept form
Answers
Answer:
y = x + 4 y= x − 8 25 x + y =
3
Step-by-step explanation:
make absolute value equation of
0 and 8
5 and 17
-4 and 6
in the form |x-c|=d
Please hurry!!!!
Answers
Answer:
Sure, here are the absolute value equations of 0 and 8, 5 and 17, and -4 and 6 in the form $|x-c|=d$:
* For 0 and 8, $|x-0|=8$. This means that $x-0=8$ or $x-0=-8$. Solving for $x$, we get $x=8$ or $x=-8$.
* For 5 and 17, $|x-5|=17$. This means that $x-5=17$ or $x-5=-17$. Solving for $x$, we get $x=22$ or $x=-12$.
* For -4 and 6, $|x-(-4)|=6$. This means that $x-(-4)=6$ or $x-(-4)=-6$. Solving for $x$, we get $x=10$ or $x=-2$.
I hope this helps! Let me know if you have any other questions.
Step-by-step explanation:
what is the numerical coefficient of the term -x2?
A. -1
B. 2
C. x
D. -x
Answers
6- 1/3 = decimal maths
Answers
Answer:
To get 6 1/3 in decimal form, we basically convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction. Here are the detailed math steps we use to convert 6 1/3 mixed number to decimal form: Step 1:Multiply the whole number by the denominator: 6 × 3 = 18
Step-by-step explanation:
The value of the expression 6 - 1/3 will be 17 / 3.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The numbers are given below.
6 and 1/3
Then the difference between the numbers 6 and 1/3 will be given by putting a minus sign between them. Then we have
⇒ 6 - 1/3
⇒ (18 - 1) / 3
⇒ 17 / 3
The value of the expression 6 - 1/3 will be 17 / 3.
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Help me plz
I really need help
Answers
Answer:
nppp
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
diameter is the segment from 1 point on the circle through the centre to the opposite point on the circle.
diameter = BD
The centre is the point equidistant from all points on the circle.
centre = A
the radius is the distance from the centre to a point on the circle.
Here the radius = AB, AC, AD
A straw is placed inside a rectangular box that is 4 inches by 3 inches by 6 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in simplest radical form.
Answers
The length οf the straw is 8 inches.
What is a cubοid?A cubοid is 3- d structure which has length, breadth and height.It is made up οf six rectangles.
What is equation?An equatiοn is a fοrmula in mathematics that expresses the equality οf twο expressiοns by cοnnecting them with the equals sign (=). The wοrd equatiοn and its cοgnates in οther languages may have subtly different meanings; fοr example, in French, an équatiοn is defined as cοntaining οne οr mοre variables, whereas in English, an equatiοn is any well-fοrmed fοrmula cοnsisting οf twο expressiοns linked by an equals sign.
The length οf bοx is 4 inches, breadth is 3 inches and the height is 6 inches.
The straw is fits diagοnally.
Length of the diagonal \(\sqrt{4^2+3^2+6^2}=\sqrt{64}=8\) inches.
Hence, the length of the straw is 8 inches.
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Which equation is proportional?
Answers
Answer:
C. is proportional.
Step-by-step explanation:
There are 25 people in a room and 5 are men. Express the number of men in the group as a fraction. 25/5 5/25 15/25
Answers
Answer:
its 4/10
Step-by-step explanation:
Sharkey's Fun Center contains a number of electronic games as well as a miniature golf course and various rides located outside the building. Paul Sharkey, the owner, would like to construct a water slide on one portion of his property. Mr. Sharkey gathered the following information about the slide: a. Water slide equipment could be purchased and installed at a cost of $525,000. According to the manufacturer, the slide would be usable for 12 years after which it would have no salvage value. b. Mr. Sharkey would use straight-line depreciation on the slide equipment. c. To make room for the water slide, several rides would be dismantled and sold. These rides are fully depreciated, but they could be sold for $127.750 to an amusement park in a nearby city. d. Mr. Sharkey concluded that about 50,000 more people would use the water slide each year than have been using the rides. The admission price would be $5.00 per person (the same price the Fun Center has been charging for the old rides). e. Based on experience at other water slides, Mr. Sharkey estimates that annual incremental operating expenses for the slide would be: salaries, $95,000; insurance, $5,800; utilities, $14,600; and maintenance, $11,400. Required: 1. Prepare an income statement showing the expected net operating income each year from the water slide. 2-a. Compute the simple rate of return expected from the water slide. 2-b. Based on the above computation, would the water slide be constructed if Mr. Sharkey requires a simple rate of return of at least 13% on all investments? 3-a. Compute the payback period for the water slide. 3-b. If Mr. Sharkey accepts any project with a payback period of five years or less, would the water slide be constructed?
Answers
1. The expected net operating income each year from the water slide is $238,150.
2. The simple rate of return expected from the water slide is 12.5%.
Let us discuss in a detailed way:
⇒ To calculate the net operating income, we need to consider the additional revenue from increased attendance and subtract the incremental operating expenses.
The additional attendance from the water slide is estimated to be 50,000 people per year. With an admission price of $5.00 per person, the additional revenue would be $250,000 ($5.00 x 50,000).
The incremental operating expenses for the water slide amount to $126,800 ($95,000 + $5,800 + $14,600 + $11,400).
Therefore, the expected net operating income each year is $238,150 ($250,000 - $126,800).
⇒ The simple rate of return is calculated by dividing the average annual net income by the initial investment cost and expressing it as a percentage.
The average annual net income is calculated by subtracting the annual operating expenses from the additional revenue generated. In this case, the average annual net income is $113,350 ($238,150 - $124,800).
The initial investment cost is $525,000.
Using these values, the simple rate of return is 21.6% ($113,350 / $525,000).
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Michael took his three kids to get haircuts the haircuts cost $57. 50 he also gave the stylist a 20% tip what was the total cost including tip for Michael’s three kids to get haircuts
Answers
The total cost of haircuts for Michael's three children, including tip, would be $207.00.
If Michael gave a 20% tip and the haircuts cost $57.50, the tip would be:
Tip = 0.20 * $57.50 = $11.50
The total cost of the haircuts, including the tip, is as follows:
Total cost = haircut cost + tip
The total cost is $57.50 + $11.50.
The total cost is $69.00.
Since Michael took his three children to get haircuts, the total cost for all three children, including tip, would be:
Total cost for three children = three times the total cost
Total cost for three children = three times $69.00
The total cost for three children is $207.00.
As a result, the total cost of haircuts for Michael's three children, including tip, would be $207.00.
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Need help with question
Answers
Answer:
Its just a dark screen man can't see anything
If y varies directly as x, and y is 12 when x is 1. 2, what is the constant of variation for this relation?.
Answers
Answer:
24 or 10
Step-by-step explanation:
unluckily, when you copied the text you did not paste well the value of x, but I assume it is 1.2 or 1/2
for the first value, the K (costant of variation) is 24, while for the second is 10, as the photo explains
Write -7/10 as a decimal.
Answers
Can you help me understand FACTOR BY GROUPING 4ac+2c+2a+1?
Answers
We have to see the common factors and add them
\(4ac+2c+2a+1=2(2ac+c+a)+1\)The only common factors are 2 in 4ac, 2c and 2a
A line has a slope of 13 and a y-intercept of –2. What is its equation in slope-intercept form?
Answers
Answer:
y=13x – 2
Step-by-step explanation:
Using the slope intercept form
y= mx + b
Where, m= 13 & b= –2
y= 13x – 2