Answer:
4+ 3a+2b
Step-by-step explanation:
He combined unlike terms and didn't add the like terms
Mr. Hayes has 111 straw bundles to use for bedding in his horse stalls.What is the greatest number of stalls he can fill if each stall holds exactly 4 bundles of straw?
What is the solution to this equation?
9x + 5 = 86
Answer: 9(9)+ 5 = 86
Step-by-step explanation: the x equals 9 so means 9(9) + 5 = 86
Answer:
x = 9
Step-by-step explanation:
9x + 5 = 86, minus 5 of both sides
9x = 81, divide 9 on both sides
x = 9
Help help help help help math
Answer:
8
Step-by-step explanation:
What are the 5 properties of a triangle?
Triangle properties include triangle inequality, angle sum, congruence, exterior angle theorem, and isosceles triangle theorem.
1. Triangle Inequality: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
2. Angle Sum of a Triangle: The sum of the angles of a triangle is always equal to 180°.
3. Congruence of Triangles: If two triangles have all three sides equal, then they are congruent (the same size and shape).
4. Exterior Angle Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it.
5. Isosceles Triangle Theorem: If two sides of a triangle are equal in length, then the angles opposite those sides are also equal in measure.
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The five properties of triangle is listed below.
The term triangle is defined as the polygon with three angle, sides and vertices.
Here we have to list down the properties of triangle.
The basic five properties of triangle are as follows:
1) in geometry, total amount of space inside the triangle is called the area of a triangle. And it is measured by square units.
2) The property of perimeter of a triangle is equal to the sum of all three sides of the triangle.
3) And the another property states that sum of the length of the two sides of a triangle is greater than the length of the third side.
4) according to the angle, the property states that sum of the angles of a triangle is always 180 degrees.
5) If angles of an equilateral triangle are equal and has a measure of 60⁰ each.
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Please help meeeeeeeeeeeeeeeeeeeeeeeeeeee
Find the nth term of this quadratic sequence
4, 9, 16, 25, 36,
Answer:
(n+1)^2.
Step-by-step explanation:
Term: 1 2 3 4 5
Value 4 9 16 25 36
= 2^2 3^2 4^2 5^2 6^2
So, the nth term is (n + 1)^2.
For each of the following situations, determine the sign (and, if possible, comment on the likely size) of the expected bias introduced by omitting a variable: (c) In a production function for airplanes, the impact on the coefficient of labor of omitting the capital variable. (d) In an equation for daily attendance at outdoor concerts, the impact on the coefficient of the weekend dummy variable (1− weekend) of omitting a variable that measures the probability of precipitation at concert time.
Omitting the capital variable in a production function is likely to introduce a positive bias on the coefficient of labor, while omitting a variable measuring the probability of precipitation in an equation for concert attendance is likely to introduce a negative bias on the coefficient of the weekend dummy variable.
(c) In a production function for airplanes, if the capital variable is omitted, it is likely to introduce a positive bias on the coefficient of labor. The reason for this is that capital and labor are typically complementary inputs in production, and by omitting the capital variable, the model fails to account for the influence of capital on production. As a result, the estimated coefficient of labor will be higher than its true value, leading to a positive bias. The size of the bias will depend on the extent to which capital and labor are complements in the production process.
(d) In an equation for daily attendance at outdoor concerts, if the variable measuring the probability of precipitation is omitted, it is likely to introduce a negative bias on the coefficient of the weekend dummy variable. The reason for this is that the probability of precipitation at concert time is likely to affect attendance, and by omitting this variable, the model fails to capture its impact. As a result, the estimated coefficient of the weekend dummy variable will be lower than its true value, leading to a negative bias. The size of the bias will depend on the strength of the relationship between precipitation and attendance, as well as the proportion of concerts that are affected by precipitation.
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Identify the independent and dependent variables in situation. As Kyoko works more hours, her total pay increases. *
Answer:
Kyoko's total pay is dependent and the number of hours she works is independent.
Step-by-step explanation:
Kyoko's total pay is a dependent variable because her total pay depends on how much she works, for example if she works longer her pay increases or if she works less, she gets paid less. The number of hours Kyoko works is an independent variable because no outside variable except herself is deciding to work more, thus making it an independent variable.
An object attached to a coiled spring is pulled down a distance of 10 centimeters from its rest position and then released.
Assuming that the motion is simple harmonic
with a period of 2 seconds, write an equation that relates the displacement d of the object from its rest position after t seconds.
Also assume that the positive direction of
the motion is up. At time t=0 the object is at its resting position and moving down.
Answer: The general form for an equation that models a wave is this: (+/-) a (sin/cos) (2π(x-p)/T), where a is your amplitude, p is your phase shift, and T is your period. The (+/-) becomes + if the graph is to start in the positive direction, and - if it is to start in the negative direction. The (sin/cos) becomes sine if the graph is to start at 0 before being shifted, while it becomes cosine if the graph is to start at the amplitude.
In this case, our graph starts out negative, and at the amplitude with no phase shift, so the (+/-) becomes -, (sin/cos) becomes cos, and p is zero. Substituting in the values given in the problem, a = 9 and T = 7, we find this equation: d = -9cos(2πt/7).
Step-by-step explanation:
list and describe two specialized alternatives not often used as a continuity strategy. quizlet
1. P-adic Numbers:
P-adic numbers are a specialized alternative not commonly used as a continuity strategy in mathematics. They are an extension of the real numbers that provide a different way of measuring and analyzing numbers. P-adic numbers are based on a different concept of distance, known as the p-adic metric. This metric assigns a measure of closeness or distance between numbers based on their divisibility by a prime number, p. P-adic numbers have unique properties and can be useful in number theory, algebraic geometry, and other branches of mathematics. However, they are not typically employed as a continuity strategy in practical applications.
2. Nonstandard Analysis:
Nonstandard analysis is a mathematical framework that provides an alternative approach to calculus and analysis. It introduces new types of numbers called "infinitesimals" and "infinite numbers" that lie between the standard real numbers but are infinitely smaller or larger than any real number. Nonstandard analysis allows for more rigorous treatment of infinitesimal quantities and provides a different perspective on limits, continuity, and differentiation. While nonstandard analysis has theoretical implications and can provide valuable insights in mathematical research, it is not commonly used as a continuity strategy in practical applications where standard analysis and calculus are more prevalent.
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last month alex sold his bike for 50.00 and deposited 80 percent of the money into his savings account he made the tqo other deposits of 24 and 35 before he withdrew 2/3 of the total to buy a used skate board write the amounts of alex transmission in order as inergets
The amounts of Alex's transactions in order are $50.00, $40.00, $24.00, $35.00, $149.00, and $98.67.
The amounts of Alex's transactions can be listed in the following order:
The amount he received from selling his bike: $50.00
The amount he deposited into his savings account, which is 80% of $50.00: $40.00
The first deposit he made of $24.00
The second deposit he made of $35.00
The total amount he had in his account before withdrawing 2/3 of it: $149.00 (which is the sum of $50.00, $40.00, $24.00, and $35.00)
The amount he withdrew to buy the used skateboard, which is 2/3 of $149.00: $98.67
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An item is priced at $14.32. If the sales tax is 5%, what does the item cost including sales tax? If necessary, round to the nearest cent
x intercept of y = x-7
The x-intercept of the linear equation is (7, 0).
How to find the x-intercept of the linear function?Here we have the following linear equation:
y = x - 7
We want to find the x-intercept, this is the point where the line intercepts the x-axis, it will happen when we take the value of y = 0, then we need to solve.
0 = x - 7
Solving that, we get:
7 = x
Then we conclude that the x-intercept of the linear equation is (7, 0).
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WILL GIVE BRAINLIST TO BEST ANSWER
Find the measure of each angle indicated.
Answer:
78°
Step-by-step explanation:
Sum of interior angles of a triangle is 180. To find the missing angle:
180 - 65 - 37 = 78
Which one?
A. B. C. Or D?
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
\(6a^{2} - 24 = 0\\6a^{2} - 24 + 24 = 0 + 24 \\6a^{2} = 24\\\frac{6a^{2}}{6} = \frac{24}{6} \\a^2 = 4\\a = \sqrt{4} \\a = +2, -2\)
A small radio transmitter broadcasts in a 31 mile radius. If you drive along a straight line from a city 41 miles north of the transmitter to a second city 42 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter
On solving the provided question, we can say that the slope's the intersection points are: (20.698, 42.197) and (43.998,16.527), the transmitter is within range between those to points along the line.
what is slope?A line's slope determines how steep it is. A mathematical equation for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two spots. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is employed to express it. The y-intercept is located at a location where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).
city - north at (0,65)
city-east at (59,0)
Slope is m=(-65/59)
\(B= y - mx = 65 - (-65/59)(0) = 65\)
The equation of the line between the cities is y = (-65/59)x + 65
\(x^2 + ( (-65/50)x + 65) )^2 = 47^2\)
the intersection points are:
(20.698, 42.197) and (43.998,16.527)
The transmitter is within range between those to points along the line.
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if liza has 580 calories how many calories will she have when she runs 3 miles?
Answer:
YOUR IN HIGH SCHOOL
Step-by-step explanation:
USE THE CALCLATOR its 193
Answer:
She will have 130 calories left.
Step-by-step explanation:
A 3-mile run burns approximately 450 calories, so you subtract that amount from her starting calories. 580-450=130 calories left.
Blair & Rosen, Inc. (B&R), is a brokerage firm that specializes in investment portfolios designed to meet the specific risk tolerances of its clients. A client who contacted B&R this past week has a maximum of $85,000 to invest. B&R's investment advisor decides to recommend a portfolio consisting of two investment funds: an Internet fund and a Blue Chip fund. The Internet fund has a projected annual return of 9%, whereas the Blue Chip fund has a projected annual return of 8%. The investment advisor requires that at most $55,000 of the client's funds should be invested in the Internet fund. B&R services include a risk rating for each investment alternative. The Internet fund, which is the more risky of the two investment alternatives, has a risk rating of 6 per thousand dollars invested. The Blue Chip fund has a risk rating of 4 per thousand dollars invested. For example, if $10,000 is invested in each of the two investment funds, B&R's risk rating for the portfolio would be
6(10) + 4(10) = 100.
Finally, B&R developed a questionnaire to measure each client's risk tolerance. Based on the responses, each client is classified as a conservative, moderate, or aggressive investor. Suppose that the questionnaire results classified the current client as a moderate investor. B&R recommends that a client who is a moderate investor limit his or her portfolio to a maximum risk rating of 410.
(a)
Formulate a linear programming model to find the best investment strategy for this client. (Assume N is the amount invested in the internet fund project and B is the amount invested in the Blue Chip fund. Express the amounts invested in thousands of dollars.)
Max _______________ s.t.
Available investment funds
Maximum investment in the internet fund
Maximum risk for a moderate investor
N, B ≥ 0
(b)
Build a spreadsheet model and solve the problem using Excel Solver. What is the recommended investment portfolio (in dollars) for this client?
internet fund$
blue chip fund$
What is the annual return (in dollars) for the portfolio?
$
(b)
Suppose that a second client with $85,000 to invest has been classified as an aggressive investor. B&R recommends that the maximum portfolio risk rating for an aggressive investor is 450. What is the recommended investment portfolio (in dollars) for this aggressive investor?
internet fund$
blue chip fund$
(d)
Suppose that a third client with $85,000 to invest has been classified as a conservative investor. B&R recommends that the maximum portfolio risk rating for a conservative investor is 320. Develop the recommended investment portfolio (in dollars) for the conservative investor.
internet fund$
blue chip fund$
A. N, B ≥ 0 (non-negativity constraint)
B. The recommended investment portfolio (in dollars) for this client can be found by reading the values in cells A1 and B1.
C. You can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.
D. You can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.
(a)
The linear programming model to find the best investment strategy for this client can be formulated as follows:
Maximize: 0.09N + 0.08B
Subject to:
N + B ≤ 85 (maximum investment of $85,000)
N ≤ 55 (maximum investment of $55,000 in the internet fund)
6N + 4B ≤ 410 (maximum risk rating of 410 for a moderate investor)
N, B ≥ 0 (non-negativity constraint)
(b)
To solve the problem using Excel Solver, you can set up the following spreadsheet model:
Cell A1: N (amount invested in the internet fund)
Cell B1: B (amount invested in the Blue Chip fund)
Cell C1: =0.09A1 + 0.08B1 (annual return for the portfolio)
Constraints:
Cell A2: ≤ 85
Cell B2: ≤ 85
Cell C2: ≤ 55
Cell D2: ≤ 410
The objective is to maximize the value in cell C1 by changing the values in cells A1 and B1, subject to the constraints.
Using Excel Solver, set the objective to maximize the value in cell C1 by changing the values in cells A1 and B1, subject to the constraints in cells A2, B2, C2, and D2.
The recommended investment portfolio (in dollars) for this client can be found by reading the values in cells A1 and B1.
(b)
For the aggressive investor with a maximum portfolio risk rating of 450, the linear programming model remains the same, except for the constraint on the maximum risk rating.
The new constraint would be: 6N + 4B ≤ 450
Using the same spreadsheet model as before, with the updated constraint, you can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.
(d)
For the conservative investor with a maximum portfolio risk rating of 320, the linear programming model remains the same, except for the constraint on the maximum risk rating.
The new constraint would be: 6N + 4B ≤ 320
Using the same spreadsheet model as before, with the updated constraint, you can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.
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How many groups of 5 can go into 900
Answer:
Your answer is 180
Step-by-step explanation:
180 x 5 = 900
Construct both a 98% and a 80% confidence interval for B₁. B₁=46, s=5.7, SSzz = 57, n = 12 98%:
To construct a 98% confidence interval for B₁, we can use the t-distribution since the sample size is small (n = 12).
Given the sample mean (B₁ = 46), sample standard deviation (s = 5.7), and sum of squares (SSzz = 57), we can calculate the confidence interval.
The formula for a confidence interval is:
Confidence Interval = Sample Mean ± (Critical Value * Standard Error)
For a 98% confidence level and n = 12, the critical value is approximately 2.681 (obtained from a t-distribution table).
The standard error is calculated as the sample standard deviation divided by the square root of the sample size (s / √n).
Plugging in the values:
Standard Error = 5.7 / √12 ≈ 1.647
Confidence Interval = 46 ± (2.681 * 1.647)
Therefore, the 98% confidence interval for B₁ is approximately (42.21, 49.79).
In conclusion, we can be 98% confident that the true value of B₁ falls within the range of 42.21 to 49.79 based on the given sample data.
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What are the coordinates of V′ for the transformation (T(–3, 1)° D4 )(ΔTUV) of T(–7, –6), U(–8, 3), and V(2, 1)?
Answer:
(5;1)
Step-by-step explanation:
-3 means shift to the right
What is the length of the unknown side of this right triangle? (DO NOT
ESTIMATE)
Step-by-step explanation:
Right triangles obey Pythagorean theorem :
?^2 = 2^2 + 9^2
?^2 = 85
? = sqrt 85 ft
Answer:
85ft
Step-by-step explanation:
The length of a rectangular frame is represented by the expression 2x + 10, and the width of the rectangular frame is represented by the expression 2x + 6. Write an equation to solve for the width of a rectangular frame that has a total area of 140 square Inches.
A: 4x^2+32x-80=0
B: 4x^2+32x+60=0
C: 2x^2+32x-80=0
D: x^2+16x+60=0
Answer:
A
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × width
= (2x + 10)(2x + 6) ← expand using FOIL and equate to 140
= 4x² + 12x + 20x + 60 = 140
= 4x² + 32x + 60 = 140 ( subtract 140 from both sides )
4x² + 32x - 80 = 0
Answer:
A: 4x² + 32x - 80 = 0
Step-by-step explanation:
Length = 2x + 10 inWidth = 2x + 6 inArea = 140 in²Formula
Area (rectangle) = Length x WidthSolving :
140 = (2x + 10)(2x + 6)2x(2x) + 10(2x) + 2x(6) + 10(6) = 1404x² + 20x + 12x + 60 = 1404x² + 32x - 80 = 0The correct option is A7.0 + 0.9=? ( can you please provide an example of a "wrong awnser" but also put the right awnser :)
Answer: 7.9
Step-by-step explanation:
if 2/3 of an apple is split among 4 people, how much of the apple did each person receive.
Answer:
2/12
Step-by-step explanation:
2/3 x 1/4 = 2/12
2/12 you need to convert and them divide
PLZ HELP!! I AM REALLY STUCK
Answer:
1. 0.85, 8/9, 0.92
N is an interger grewter than 1
Prove algebraicaly that 10+n^2-(n-2)^2 is always an even number
Your final line must have 'always even' as part of the line
The expression 10 + n^2 - (n-2)^2 is always an even number for any integer n greater than 1. The presence of the term 4n ensures that the expression will always be divisible by 2, making it an even number.
To prove algebraically that the expression 10 + n^2 - (n-2)^2 is always an even number for any integer n greater than 1, we can simplify the expression and analyze its properties.
Starting with the given expression:
10 + n^2 - (n-2)^2
Expanding the square term:
10 + n^2 - (n^2 - 4n + 4)
Simplifying further:
10 + n^2 - n^2 + 4n - 4
Combining like terms:
4n + 6
We can observe that the expression 4n + 6 consists of a constant term (6) and a multiple of 4 (4n). Any multiple of 4 is always even, and adding an even number to another even number will result in an even number.
Therefore, for any integer n greater than 1, the expression 10 + n^2 - (n-2)^2 is always even.
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1/2 2/3 3/4 the average
Answer:
23/36
Step-by-step explanation:
Add all the numbers
1/2 + 2/3 + 3/4 = 23/12
Divide by 3
23/12 / 3 = 23/36
Tran bought 25 marbles and put them in his pocket with 10 other marbles. He had a hole in his pocket and lost 6 marbl
Which number sentence tells the story of how many marbles he had left ?
The number of marbles left in the pocket after losing is 29 { after narrating the story in numerical sentences}
Given that Tran bought 25 marbles and put them in his pocket with 10 other marbles. He had a hole in his pocket and lost 6 marbles. and asked to narrate the story in numerical form
Total number of marbles Tran bought=25 marbles
Total number of marble Tran has before buying new marbles=10 marbles
Total number of marbles after buying new marbles=35 marbles
Given that he lost 6 marbles because of the hole in his pocket
Therefore, the Total number of marbles left=35-6
The total number of marbles left=29 marbles.
Therefore, The number of marbles left in the pocket after losing is 29 { after narrating the story in numerical sentences}
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3.Given m_2=x+5 and m27= 3x - 15 and a || 6. Justify using sound mathematical reasoning why the setup equation is correct. (Unit 5)12aA345678The set up equation is x +5= 3x -15 because:
In this case, we must analyze the diagram to find the solution.
∠ 2 = ∠ 7
x + 5 = 3x - 15
We must apply the properties of the angles.
Angles that are on the opposite sides of the transversal are called alternate angles. All angles that are either exterior angles, interior angles, alternate angles or corresponding angles are all congruent.
The answer is:
The equation is correct, because angle 2 and 7 are alternate exterior angles and thus congruent.