Answer:
(4)
Step-by-step explanation:
As the circumference of a circle measures 360 degrees, minor arc AC measures 360-268=92 degrees.
By the inscribed angle theorem, angle ABC measures 46 degrees.
What is the point slope form of a line with the slope -4 that contains the point (2,-8)
Answer:
y + 8 = -4(x - 2)
Step-by-step explanation:
Point-slope form of an equation is a fill-in-the-blank, shortcut way to write an equation of a line. This is the format:
y - Y = m(x - X)
You just fill in the slope for m and fill in the point for the X,Y.
Just leave the first y; it stays a y and the first x in the parenthesis stays as an x. You just have to be careful with your minus and negative signs.
Slope is given as -4 so fill that in for m.
and put (2,-8) in place of the X and Y.
y - Y = m(x - X)
y - -8 = -4(x - 2)
y + 8 = -4(x - 2)
Done! Hope this helps!
Please answer in an hour! You will get a thumbs up.
Question 1 (a)
Assume you purchase a new tractor on Jan 1, 2022 for a cost of $200,000. You estimate you will be able to use the tractor for 10 years, and it will have a salvage value of 10% of the original by the end of its useful life. Determine the book value at the end of the first year (December 31, 2022) using straight-line depreciation.
options:
$18,000
$180,000
$185,000
$182,000
Question 1 (b)
A balance sheet (using current and noncurrent assets and liabilities- no intermediate) shows that a farmer has current assets of $80,000 and owner equity of $100,000. Her current ratio is 2 and her debt/equity ratio is 1.0. Determine the farmer's noncurrent liabilities.
Question 1 (b) options:
$40,000
$60,000
$100,000
unable to determine
Question 1a
To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:
Annual Depreciation = (Cost - Salvage Value) / Useful Life
Substituting the given values, we get:
Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year
This means that the tractor will depreciate by $18,000 each year for the next 10 years.
To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:
Depreciation Expense for Year 1 = $18,000
Therefore, the book value of the tractor at the end of the first year will be:
Book Value = Cost - Depreciation Expense for Year 1
= $200,000 - $18,000
= $182,000
So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D
Question 1(b)
To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:
Calculate the total current liabilities using the current ratio:
Current Ratio = Current Assets / Current Liabilities
2 = $80,000 / Current Liabilities
Current Liabilities = $80,000 / 2
Current Liabilities = $40,000
Calculate the total liabilities using the debt/equity ratio:
Debt/Equity Ratio = Total Liabilities / Owner Equity
1.0 = Total Liabilities / $100,000
Total Liabilities = $100,000 * 1.0
Total Liabilities = $100,000
Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:
Noncurrent Liabilities = Total Liabilities - Current Liabilities
Noncurrent Liabilities = $100,000 - $40,000
Noncurrent Liabilities = $60,000
Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.
Which algebraic expression represents this word description? The difference between the product of two and a number, and eleven
Answer:
2x-11 is the answer
please help me with my maths work
The parts of the algebraic expression 3x - 2 are:
3 is the coefficient of x.
x is the variable
2 is the constant term
How to describe an algebraic expression?The algebraic Expression is given as:
3x - 2
Now, some parts of algebraic expressions are coefficients, variables and constant.
Coefficient is defined as the figure or number that is attached to the variable in an algebraic expression.
The variable is the letter that can change because different numbers are used for it.
The constant is the number that stands alone and doesn't change.
Thus, in 3x - 2:
3 is the coefficient of x.
x is the variable
2 is the constant term
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lmkk if u know this, i need sum help
use cos to get an equation and then solve.
Find the length of each segment. Tell whether the segments are congruent. (1,2,3,4 only)
Answer: 1 & 2 are congruent
Step-by-step explanation:
They both have the same amount of space to get to the other point .
1. AC is congruent to BD.
2. BD and CE are not congruent.
3. AD and BE are not congruent.
4. BC and CE are not congruent.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
1. The segment AC is (1 - (-8)) = 9 units, and the line segment
BD is (3 -(-6)) = 9 units.
So, AC ≅ BD.
2. Line segment BD is 9 units and line segment CE is (7 - 1) = 6 units.
So, BD and CE are not congruent.
3. Line segment AD is (3 - (-8)) = 12 units and line segment BE is (7 - (-6)) = 13 units. (not congruent)
So, line segment AD and BE are not congruent.
4. Line segment BC is (1 - (-6)) = 7 units and line segment CE is (7 - 1) = 6 units.
So, Line segments BC and CE are not congruent.
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The length of a rectangle is three more than its width. If the perimeter is 46 feet, what are the dimensions of the rectangle?
O 10 by 7
0 43 by 3
O 12 by 11
O 13 by 10
Answer:
13 BY 10
Step-by-step explanation:
let width be z
length be z+3
perimeter=46
2(l+b)=46
z+z+3=23
2z=20
z=10
z+3=l=13
Simplify this expression.
–6w + (–8.3) + 1.5+ (–7w)
The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.
What is the simplified form of the expression?Given the expression in the question;
-6w + (–8.3) + 1.5+ (–7w)
To simplify, first remove the parenthesis
Note that;
- × + = -- × - = ++ × + = +-6w + × - 8.3 + 1.5 + × - 7w
-6w - 8.3 + 1.5 - 7w
Next collect and add like terms
-6w - 7w - 8.3 + 1.5
Add -6w and -7w
-13w - 8.3 + 1.5
Add -8.3 and 1.5
-13w - 6.8
Therefore, -13w - 6.8 is the simplified form.
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Please I need help with this question
Answer:
substituting the value of x into the equation y=x^2 + 1
Step-by-step explanation:
where x=-2, y= 5
where x=-1, y=2
Answer:
x = -2 ---------> y = 5
x = -1 --------->y = 2
x = 0 --------->y = 1
x = 1 --------->y = 2
x = 2 --------->y = 5
x = 3 --------->y = 10
Step-by-step explanation:
IF THIS IS RIGHT CAN U PLEASE MAKE ME A BRAINLIEST SO I CAN REACH TO TOP RANK
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How many triangles exist with the given angle measures?
60°, 60°, 60°
A. Exactly one unique triangle exists with the given angle measures.
B. No triangle exists with the given angle measures.
C. More than one unique triangle exists with the given angle measures.
Answer:
The sum of the angles in a triangle is 180°, so the angles do form a triangle. Since two of the three angles are congruent, the triangle is an isosceles triangle. An infinite number of isosceles triangles exist with different side lengths. Therefore, more than one triangle exists with the given angle measures.
Ryan goes the mall with his friends after school. At the mall he purchases four pairs of basketball shorts and a pair of sneakers for $100 if he spends a total of $200 how much money did he spend on each pair of basketball shorts?
Answer:
$25.00
Step-by-step explanation:
200-100=100
100/4=25
The ratio for concrete (cement:sand:gravel) is 1:3:4. Chau now needs to make 64 kg of concrete. Determine the mass of cement, sand, and gravel she needs to mix together.
Answer:
8 kg of cement, 24 kg of sand and 32 kg of gravel
Step-by-step explanation:
Ratios can be expressed as fractions by getting the sum of all the values:
\(1+3+4 = 8\)
Then expressing each value as a numerator of the sum:
\(\frac{1}{8} , \frac{3}{8} , \frac{4}{8} \text{ which represent cement, sand, gravel respectively}\)
Since concrete is a mixture of all of this, we simply find the how much of 64 kg, each fraction represents:
\(\frac{1}{8} \times 64 kg = 8 kg \text{ cement} \\\\\frac{3}{8} \times 64 kg = 24kg \text{ sand}\\\\\frac{4}{8} \times 64 kg = 32kg \text{ gravel}\)
assume that you have a square. what can you conclude from applying the law of detachment to this conditional?if you have a square, then you have a rectangle.
If you apply the law of detachment to the conditional "if you have a square, then you have a rectangle," you can conclude that if you have a square, you must also have a rectangle.
This is because the law of detachment states that if a conditional statement is true and the antecedent (the "if" clause) is also true, then the consequent (the "then" clause) must also be true.
In this case, the conditional "if you have a square, then you have a rectangle" is true because all squares are rectangles (since a rectangle is defined as a geometric figure with four straight sides and four right angles). Therefore, if you have a square, you can conclude that you also have a rectangle.
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The volume of a tree stump can be modeled by considering it as a right cylinder. Justin measures its circumference as 84 in and its volume as 20214 cubic inches. Find the height of the stump in feet. Round your answer to the nearest tenth if necessary.
Given the values of the circumference and volume, the height of the tree trump to the nearest tenth is 36.0in.
What is a cylinder?A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )
Given the data in the question;
Circumference of the circular base C = 84inVolume of the cylinderical tree stump V = 20214in³First we determine the radius of the circular base.
Since circumference C = 2πr then r = C / 2π.
Hence, the volume of the cylinderical tree stump will be;
V = π × (C / 2π)² × h
V = π × ( C² / 4π² ) × h
V = hC² / 4π
4πV = hC²
h = 4πV / C²
We substitute our given values into the expression
h = ( 4 × 3.14 × 20214in³ ) / (84in)²
h = 253887.84in³ / 7056in²
h = 36.0in
Therefore, given the values of the circumference and volume, the height of the tree trump to the nearest tenth is 36.0in.
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Answer:
3
Step-by-step explanation:
VERIFED PEOPLE ARE WORNG!
The price of a train ticket consists of an initial fee of \$5$5dollar sign, 5 plus a fee of \$2.75$2.75dollar sign, 2, point, 75 per stop. julia has \$21$21dollar sign, 21 and would like to travel 505050 kilometers. she wants to know the largest number of stops she can afford to buy on a ticket. let sss represent the number of stops that julia buys. 1) which inequality describes this scenario?
An inequality that represents given scenario is 5 + 2.75x ≤ 21
For given question,
The $21 means that there is a limit to the number of stops she can take using the train.
From given information, we have the following parameters:
Initial Fee = $5
Rate per stop = $2.75
Amount = $21
The inequality that represents the scenario is calculated using:
Initial Fee + Rate × Number of stops ≤ Amount
We use ≤ because the total charges must not exceed the amount.
Let the number of stops be x.
The above formula becomes
5 + 2.75x ≤ 21
Therefore, an inequality that represents given scenario is 5 + 2.75x ≤ 21
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6-51 Amelia wants to solve the equation shown on the equation mat at right. After she simplified each expression as much as possible, she was confused by the tiles that were left on the mat
From the equation mat at right, Amelia's original equation is:
2x - 1x + 1 - 1 = 1x - 1x + 3- 3The value of x is 0, hence, the solution to the equation is zero.
What was Amelia's original equation?Based on the equation mat, Amelia's original equation can be written as follows:
2x - 1x + 1 - 1 = 1x - 1x + 3- 3
where dark tiles are positive and white tiles are negative
simplifying the equation above:
1x = 0
Therefore the solution to the equation is zero.
To check the solution to this equation, put x = 0 on both sides of the equation:
2 (0) - 1(0) + 1 - 1 = 1(0) - 1(0) + 3 - 3
0 = 0
Hence, the value of x is 0.
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CAN ANYONE HELP ME PLZ>>> find the distance-round to the nearest 10nth if necessary
(1,-7) , (5,2)
Answer:
√97 or 9.8
Step-by-step explanation:
- Plug the values into the distance formula.
√(y2 - y1)² + (x2 - x1)²
√[2 - (-7)]² + (5 - 1)²
√(9)² + (4)²
√81 + 16
√97
= 9.8
Find the equation of the line shown
How does finding the area of one face of a triangular pyramid that is made up of a equilateral triangles help you find the surface area of the triangular pyramid?
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The surface area of the triangular pyramid will be 4 times the area of the triangle.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
If a triangular pyramid is made up of equilateral triangles, then this 3D shape will have 4 equilateral triangles and every triangle will be connected to the other 3 triangles.
Now since the area of each equilateral triangle is the same, and the area of an equilateral triangle is known then the surface area of the triangular pyramid will be 4 times the area of the triangle.
Hence, the surface area of the triangular pyramid will be 4 times the area of the triangle.
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Which of these expressions is equivalent to:
3x^3 y^5 + 3x^5 y^ 3 − (4x^5 y^3 − 3x^3 y^5)
The equivalent expression is: \(-x^5 y^3 + 6x^3 y^5\).
Let's simplify the given expression step by step using the given terms:
Expression:
\(3x^3 y^5 + 3x^5 y^3 - (4x^5 y^3 − 3x^3 y^5)\)
Distribute the negative sign outside the parentheses to the terms inside:
\(3x^3 y^5 + 3x^5 y^3 - 4x^5 y^3 + 3x^3 y^5\)
Combine like terms, which are terms that have the same variables raised to the same power:
\((3x^3 y^5 + 3x^3 y^5) + (3x^5 y^3 - 4x^5 y^3)\)
Add or subtract the coefficients of the like terms:
\(6x^3 y^5 - x^5 y^3\)
So, the simplified expression is:
\(6x^3 y^5 - x^5 y^3\)
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In the tournament described in Exercise 11 of Section 2.4, a top player is defined to be one who either beats every other player or beats someone who beats the other player. Use the WOP to show that in every such tournament with n players n∈ N, there is at least one top player.
Using the Well-Ordering Principle (WOP), it can be proven that in every tournament with n players (where n is a natural number), there is at least one top player, defined as someone who either beats every other player or beats someone who beats the other player.
We will prove this statement by contradiction. Assume that there exists a tournament with n players where there is no top player. This means that for each player, there exists either another player who beats them or a chain of players such that each player beats the next one. Now, consider the set S of all players in this tournament. Since S is a non-empty set of natural numbers, it has a least element, let's say k.
Now, player k either beats every other player in the tournament, making them a top player, or there exists a player, let's say player m, who beats player k. In the latter case, we have a chain of players: k, m, p_1, p_2, ..., p_t, where p_1 beats p_2, p_2 beats p_3, and so on until p_t.
However, this contradicts the assumption that there is no top player, as either player k beats every other player (if m does not exist), or player m beats someone who beats the other player (if m exists). Hence, by contradiction, we have shown that in every tournament with n players, there is at least one top player.
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sally has a part time job mowing lawns so she can save money for a new car. she charges $5 per hour define the independent and dependent variables
Answer:
Independent: Amount of hours she works
Dependent: Amount of money she makes
Step-by-step explanation:
The independent variable is the part of the equation that changes. In this case the only thing that changes is how long she works, the amount of money she charges and what she is doing does not change.
The dependent variable is what you measure in the equation. In this case, the amount of money she makes depends on the amount of time she works.
4. ( 10 mark) A worker lift boxes from the conveyer to the cart eight hours, if the LI= \( 4.763 \) and \( R W L \) \( =3.6 \) and the following where given , answer the following question :
a. Deter
The time study is 8 hours, the observed time is approximately 17.14 minutes, and the standard time is approximately 2.28 hours.
To solve the given problem, we can follow these steps:
1. Time study:
First, we calculate the number of cycles using the formula: Number of cycles = Total time ÷ Cycle time.
Given that the total time is 8 hours (8 × 60 = 480 minutes) and the cycle time is LI × RWL = 4.763 × 3.6 = 17.1468 minutes, we find:
Number of cycles = 480 ÷ 17.1468 ≈ 28 cycles.
Therefore, the time study is calculated as the number of cycles multiplied by the observed time per cycle: Time Study = 28 × 17.1468 ≈ 480 minutes = 8 hours.
2. Observed time:
We can calculate the average observed time per cycle using the formula: Average observed time per cycle = Total observed time ÷ Number of cycles.
The total observed time given is 480 minutes, and the number of cycles is 28. So, we have:
Average observed time per cycle = 480 ÷ 28 ≈ 17.1429 minutes.
The observed time is then found by multiplying the average observed time per cycle by the rating, which is 100% since no allowance is given:
Observed time = 17.1429 × 100% = 17.1429 minutes ≈ 17.14 minutes.
3. Standard time:
The standard time is calculated using the formula: Standard time = Observed time × Performance rating.
To determine the performance rating, we need to find the standard time for the job and the total time allowed.
Since no allowance is given, we assume the total time allowed is equal to the observed time, which is 17.1429 minutes.
The standard time for the job can be calculated as the number of cycles multiplied by the standard time per cycle.
The standard time per cycle is determined by multiplying LI × RWL × Elemental time.
Since there's only one element given, the elemental time is equal to the observed time, which is 17.1429 minutes.
Therefore, the standard time per cycle is 4.763 × 3.6 × 17.1429 = 292.5 seconds.
With the number of cycles given as 28, the standard time for the job is 28 × 292.5 = 8190 seconds ≈ 136.5 minutes.
Finally, we calculate the performance rating using the formula: Performance rating = (Standard time for job ÷ Total time allowed) × 100.
Here, the total time allowed is the observed time, which is 17.1429 minutes.
So, the performance rating is (136.5 ÷ 17.1429) × 100 = 797.14%.
Thus, the standard time is found by multiplying the observed time by the performance rating:
Standard time = 17.1429 × 797.14% = 136.5 minutes ≈ 2.28 hours.
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If x and y vary inversely and x = 2.5 when y = 100 find x when y = 25
Answer:
the answer is b
Step-by-step explanation:
thnx
how to find volume of triangular prism with right angle
To find the volume of a triangular prism with a right angle, multiply the area of the base triangle by the height of the prism.
Start with a triangular prism that has a right angle. The base of the prism is a right-angled triangle.
Measure the lengths of the two perpendicular sides of the right-angled triangle, which are typically referred to as the base (b) and the height (h) of the triangle.
Calculate the area of the base triangle using the formula: Area = (1/2) * base * height.
Measure the height (H) of the prism, which is the perpendicular distance between the two parallel bases.
Multiply the area of the base triangle by the height of the prism to find the volume:
Volume = Base Area * Height = (1/2) * base * height * H.
If the dimensions are given in different units, make sure to convert them to the same unit before performing the calculations.
The volume of a triangular prism with a right angle can be found by multiplying the area of the base triangle by the height of the prism. Ensure that the base dimensions and the height are measured accurately and in the same unit.
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10,9, 23, 68, 70, 4, 12,4
What is the median for this set of numbers?
A 4
B. 11
c. 25
D. 66
E. 70
Answer:
i would say A because you have more of the 4 than anything else
Step-by-step explanation:
A term is a constant, a variable, or a ___ of numbers and variables.
A term is a constant, a variable, or a number-variable product.
What exactly is a variable?In algebra, a symbol (usually a letter) used to indicate an unknown numerical value in an equation or algebraic statement. A variable is a quantity that is changeable rather than fixed. In mathematics, a variable is an alphabet or phrase that represents an unknown amount, unknown value, or unknown number. Variables are very useful in algebraic expressions or algebra. As an example, the variables x and 9 are constants in the linear equation x+9=4.
A term can be a number, a constant, a variable, or the product of a number and a variable in this context.
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Calculate the lower confidence limit (LCL) and upper confidence limit (UCL) of the mean for each of the following. bar x= 160, n = 436, sigma = 30, and alpha = 0.01 bar x = 70, n = 323, sigma = 4, and alpha = 0.05 LCL =
LCL and UCL values of both scenarios are (158.61,161.39),(69.65,70.35) respectively.
To calculate the lower confidence limit (LCL) and upper confidence limit (UCL) for each given scenario, you'll need to use the following formula:
LCL = X - (z * (sigma / √n))
UCL = X+ (z * (sigma / √n))
where X is the sample mean, n is the sample size, sigma is the population standard deviation, and z is the z-score corresponding to the desired confidence level (1 - alpha).
First Scenario:
X = 160, n = 436, sigma = 30, alpha = 0.01
1. Find the z-score for the given alpha (0.01).
For a two-tailed test, look up the z-score for 1 - (alpha / 2) = 1 - 0.005 = 0.995.
The corresponding z-score is 2.576.
2. Calculate LCL and UCL.
LCL = 160 - (2.576 * (30 / √436)) ≈ 158.61
UCL = 160 + (2.576 * (30 / √436)) ≈ 161.39
First Scenario Result:
LCL = 158.61
UCL = 161.39
Second Scenario:
X= 70, n = 323, sigma = 4, alpha = 0.05
1. Find the z-score for the given alpha (0.05).
For a two-tailed test, look up the z-score for 1 - (alpha / 2) = 1 - 0.025 = 0.975.
The corresponding z-score is 1.96.
2. Calculate LCL and UCL.
LCL = 70 - (1.96 * (4 / √323)) ≈ 69.65
UCL = 70 + (1.96 * (4 / √323)) ≈ 70.35
Second Scenario Result:
LCL = 69.65
UCL = 70.35
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Abe jogs 1. 8 miles on monday, 1. 3 miles on tuesday, and 1. 2 miles on wednesday. If beth jogs twice as far as abe, how many miles does beth jog?.
Abe jogs 1. 8 miles on Monday, 1. 3 miles on Tuesday, and 1. 2 miles on Wednesday.
Beth will jog 8.6 miles, if she jogs twice as far as Abe.
The answer provided below has been developed in a clear step by step manner.
Step: 1
Given that,
Abe jogs 1.8 miles on Monday, 1.3 miles on Tuesday and 1.2 miles on Wednesday.
So,
Total miles jog by Abe =1.8+1.3+1.2
Step: 2
Adding, we get,
Total miles jog by Abe = 4.3 miles
To find :-
The number of miles Beth jogged.
Step: 3
Since Beth jogs twice as far as Abe, we have,
Number of miles Beth jog = 2×4.3 miles = 8.6 miles
Since Abe jog 4.3 miles in total, Beth will jog (2* 4.3) miles
Hence the answer is, Beth will jog 8.6 miles, if she jogs twice as far as Abe.
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(x+5). (x-4)-(x+2)^2+(2x+3)^2=(2x-1) (4x^2+2x-1)+18x(2x+3)
Answer:
x ≈ -0.73151
Step-by-step explanation: