Answer:
x+74=135
x=135-74=61(exterior angle of a triangle is equal to the sum of two opposite interior angle)
A small business has one team that installs new swimming pools and four employees that clean and maintain pools. Which of
the following is a service that is provided by this business to its customers? (1 point)
O the employees who clean and maintain pools
O the new swimming pools
O the team that installs the new pools
O pool cleaning
Answer:
the correct answer would be "the team that installs the new pools" and "the employees who clean and maintain pools" are services provided by this business to its customers, as they are actively performing tasks for the customer related to swimming pools.
O pool cleaning is a service that is provided by this business to its customers.
The correct option is C. The team that installs the new pools.
What is the business to the customer?Business-to-consumer (B2C) refers to the process of selling goods and services directly between an organization and the customers who will ultimately use them. The majority of businesses that sell directly to customers are referred to as B2C businesses.
The correct answer would be "the team that installs the new pools" and "the employees who clean and maintain pools" are services provided by this business to its customers, as they are actively performing tasks for the customer related to swimming pools. Pool cleaning is a service that is provided by this business to its customers.
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Under the Americans with Disabilities Act, accommodation is required in _____. a. the work itself b. the work environment c. benefits and privileges associated with the work
Under the Americans with Disabilities Act (ADA), accommodation is required in all three areas mentioned: the work itself, the work environment, and the benefits and privileges associated with the work.
The ADA is a federal law in the United States that prohibits discrimination against individuals with disabilities in various aspects of employment.
Firstly, accommodation is required in the work itself. This means that employers must make reasonable adjustments to enable individuals with disabilities to perform the essential functions of their job. This can include modifying tasks, providing assistive technology, or adjusting work schedules.
Secondly, accommodation is required in the work environment. Employers must remove barriers that may prevent individuals with disabilities from accessing or navigating the physical workplace. This may involve installing ramps, widening doorways, or providing accessible restrooms.
Lastly, accommodation is required in the benefits and privileges associated with the work. Employers must ensure that individuals with disabilities have equal access to employee benefits, such as health insurance, retirement plans, and training opportunities. Additionally, employers should provide reasonable accommodations to enable employees with disabilities to enjoy the same privileges and opportunities as their colleagues.
In conclusion, the ADA mandates accommodation in the work itself, the work environment, and the benefits and privileges associated with the work, ensuring equal opportunities and accessibility for individuals with disabilities.
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On january 2, 2015, roth, inc. purchased a laser cutting machine to be used in the fabrication of a part for one of its key products. the machine cost $110,000, and its estimated useful life was four years or 1,050,000 cuttings, after which it could be sold for $5,000.
Based on the provided information, Roth, Inc. purchased a laser cutting machine on January 2, 2015, for $110,000. The machine has an estimated useful life of four years or 1,050,000 cuttings. After that period, it can be sold for $5,000.
To calculate the depreciation expense, we need to determine the annual depreciation amount. Since the useful life is given in terms of years and cuttings, we will calculate depreciation using both methods and choose the higher amount.
Depreciation based on useful life in years:
Depreciation per year = (Purchase cost - Residual value) / Useful life in years
Depreciation per year = ($110,000 - $5,000) / 4
Depreciation per year = $105,000 / 4
Depreciation per year = $26,250
Depreciation based on useful life in cuttings:
Depreciation per cutting = (Purchase cost - Residual value) / Useful life in cuttings
Depreciation per cutting = ($110,000 - $5,000) / 1,050,000
Depreciation per cutting = $105,000 / 1,050,000
Depreciation per cutting ≈ $0.10
Since $0.10 per cutting is the higher depreciation amount, we will use this method.
Now, let's calculate the depreciation expense for each year:
Year 1: Depreciation expense = Depreciation per cutting * Total cuttings in year 1
Year 1: Depreciation expense = $0.10 * 1,050,000 (assuming maximum cuttings in a year)
Year 1: Depreciation expense = $105,000
Similarly, the depreciation expense for each subsequent year will also be $105,000.
Finally, let's calculate the net cost of the laser cutting machine at the end of each year:
Year 1: Net cost = Purchase cost - Depreciation expense for year 1 - Residual value
Year 1: Net cost = $110,000 - $105,000 - $5,000
Year 1: Net cost = $0
Year 2: Net cost = Purchase cost - Depreciation expense for year 2 - Residual value
Year 2: Net cost = $110,000 - $105,000 - $5,000
Year 2: Net cost = $0
Year 3: Net cost = Purchase cost - Depreciation expense for year 3 - Residual value
Year 3: Net cost = $110,000 - $105,000 - $5,000
Year 3: Net cost = $0
Year 4: Net cost = Purchase cost - Depreciation expense for year 4 - Residual value
Year 4: Net cost = $110,000 - $105,000 - $5,000
Year 4: Net cost = $0
After four years, the net cost of the laser cutting machine will be $0.
In summary, the laser cutting machine purchased by Roth, Inc. for $110,000 will have a net cost of $0 at the end of its useful life, assuming the maximum number of cuttings in each year and a residual value of $5,000.
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a triangle has sides with lengths of 33 centimeters, 75 centimeters, 89 centimeters. is it a right triangle?
Step-by-step explanation:
By pythagoras triplet
sum of square of bigger side should be equal to sum of square of remaining two sides
so 75² + 33² = 5625 + 1089 = 6714
and 89² = 7921
here 6714 is not equal to 7921
so this triangle is not right angled triangle
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Finc the sum of the following: -b-4a, 7b-6a
Answer:
− 10 a + 6 b
Why a sample is always smaller than a population?
Answer:
A sample is a subset of the population.
1. Use the points in the diagram to name the figure
1)JS↔️
2JS➡️
3)JS—
4)JS
Answer:
The correct option is;
\(\ \underset{JS}{\rightarrow} \right |\)
Step-by-step explanation:
The given diagram consists of a a starting point, J having a direction passing through the point S and the line has one arrowhead on the right pointing to infinity, which is the symbol for a ray, JS
The denotation of a ray is made by the name of the ray having an overhead arrow as follows;
ray \(\ \underset{JS}{\rightarrow} \right |\)
Option B is correct that is \(\overrightarrow{JS}\).
VectorIt has magnitude, direction, and follows the law of vector addition.
How to find the direction of vectro?As the direction is given from J to S. our JS vector becomes \(\overrightarrow{JS}\).
Thus, option B is correct that is \(\overrightarrow{JS}\).
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kelly earns $288 during her first 8 hour shift. how much would kelly earn on a full paycheck of 36 hours? interpret your answer.
Answer:
$1,296
Step-by-step explanation:
kelly earns $288 during her first 8 hour shift. how much would kelly earn on a full paycheck of 36 hours? interpret your answer.
288/8 = $36 per hour
If she worked 36 hours at $36 per hour:
36* $36 = $1,296
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in the graph of the inequality x-2y (less than or equal too) 4, which is a value for x on the boundary line and the x axis
4
-2
2
-4
The value of x on the boundary line and the x axis is found as 4.
Explain the term inequality?In mathematics, "inequality" refers to a relationship among two expressions and values that is not equivalent to each other. Therefore, inequality emerges from a lack of balance.When two components are equal, we use the sign "=," and if they are not equal, we use the symbol "," which stands for "not equal."For the given question,
The graph of inequality x-2y ≤ 4 is drawn.
Consider the graph,
The straight lien formed by the graph touches the x coordinate axis at (4,0).
Thus, the value of x on the boundary line and the x axis is found as 4.
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Construct a vertical transversal and horizontal transversal to lines AB and DC that intersect each other at F. Label the points of intersection to the parallel lines A, B, C, and D.
Pls help!!
The missing statement in the given proof is ΔFDC ≅ Δ FAB, reason SAS. Option C is correct.
What is congruent geometry?In congruent geometry, the shapes that are so identical. can be superimposed on themselves.
here,
As given in the quesiton,
Consider the triangle formed by the given construction,
ΔFDC and Δ FAB
AB║CD
∠FAB = ∠FCD
∠FBA = ∠FDC
So, ΔFDC ≅ Δ FAB, by SAS congruency.
Thus, the missing statement in the given proof is ΔFDC ≅ Δ FAB, reason SAS. Option C is correct.
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I NEED HELP :D
10 PONITS AND A LIKE THING ON BRAINLY
36.99. It says total and out of all those numbers I just added.
Answer:
36.99
Step-by-step explanation:
Check all that apply -8 -x = 19
Addition or Subtraction Property of Equality
Multiplication or Division Property of equality
Distributive Property
Commutative Property
Answer:
Addition and subtraction property of equality
Step-by-step explanation:
because -8-×=9.
Which expression is equivalent to (2x + 3)2 – 5?
tom has 2 red gunmy abd 2 green gunnt fish left in his bag. He, reaches in his bag grabs a gummy and eats it. He reaches in again and grabs another fish and eats ut. What is the probability tom each one gummy fish of eachcolir
The probability that Tom eats one gummy and one fish is 1/6.
If he grabs a red gummy on the first try, there are now three equally likely outcomes for the second try: he can either grab a green gummy, a red fish, or a green fish. If he grabs a red fish on the second try, then he has eaten one of each and we're done. So the probability of this happening is:
P(red gummy on first try and red fish on second try) = P(red gummy on first try) × P(red fish on second try | red gummy on first try)
= 1/4 × 1/3
= 1/12
Similarly, if he grabs a green gummy on the first try, there are again three equally likely outcomes for the second try, and if he grabs a green fish on the second try, then he has eaten one of each. So the probability of this happening is:
P(green gummy on first try and green fish on second try) = P(green gummy on first try) × P(green fish on second try | green gummy on first try)
= 1/4 × 1/3
= 1/12
Therefore, the probability that Tom eats one gummy and one fish is the sum of these two probabilities:
P(one gummy and one fish) = P(red gummy on first try and red fish on second try) + P(green gummy on first try and green fish on second try)
= 1/12 + 1/12
= 1/6
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PLZ HURRY I NEED HELP!!!!!!!??
Answer:
Step-by-step explanation:
14 bc 15
What is 98.5 degrees Fahrenheit in Celsius?
The value of 98.5 degrees Fahrenheit in Celsius is 36.94
What is Fahrenheit to celsius conversion ?
Fahrenheit to celsius conversion can be defined as 32 fahrenheit is equals to 0 degrees celsius.
Here, we have to find 98.5 degrees Fahrenheit in Celsius .
so we know that,
(1°F − 32) × 5/9 = -17.22°C
So,
for 98.5 degrees
we get,
98.5 - 32 * 5 / 9
= 66.5 * 5 / 9
= 332.5 / 9
= 36.94
Therefore, The value of 98.5 degrees Fahrenheit in Celsius is 36.94
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You have $12,000 to invest and want to keep your money invested for 8 years. You are considering the following investment options. Choose the investment option that will earn you the most money. A. 3. 99% compounded monthlyb. 4% compounded quarterlyc. 4. 175% compounded annuallyd. 4. 2% simple interest.
Using the formula of compound interest and simple interest, the investment option that is better is at interest rate of 3.99% which is compounded monthly
Which Investment is betterTo compare the investment options, you need to calculate the future value of each investment after 8 years. Here's a breakdown of each option:
A. 3.99% compounded monthly: This option earns interest every month and compounds, meaning the interest is added to the principal, so future interest is earned on the increased principal amount. This type of interest compound is the most advantageous to the investor. The formula for calculating the future value for this option is:
FV = P * (1 + r/n)^(nt)
FV = 12000(1 + 0.0399 / 12) * (12 * 8)
FV = $16,503.58
where P is the principal ($12,000), r is the annual interest rate (3.99%), n is the number of times the interest is compounded in a year (12 times), t is the number of years invested (8 years).
B. 4% compounded quarterly: This option earns interest every quarter and compounds. The formula for calculating the future value is the same as option A, with the only difference being the number of times the interest is compounded in a year (n=4).
Substituting the values into the formula;
FV = $16,499.29
C. 4.175% compounded annually: This option earns interest once a year and compounds. The formula for calculating the future value is the same as options A and B, with the only difference being the number of times the interest is compounded in a year (n=1).
Substituting the values into the formula
FV = $16,645.21
D. 4.2% simple interest: This option earns interest once a year based on the original principal amount and does not compound. The formula for calculating the future value for this option is:
FV = P(1 + rt)
FV = 12000 (1 + 0.042 * 8)
FV = $16032
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Which numbers represent the measure of the sides of a right triangle?
3.8, 4.5, 9.3
2.8, 4.5, 5.3
4.8, 4.5, 5.3
2.8, 5.5, 5.3
Answer:
2.8, 4.5, 5.3
numbers represent the measure of the sides of a right triangle.
2.8²+4.5²=5.3²
7.84+20.25=28.09
28.09=28.09
i need help with thisxx
Using translation concepts, we have that:
The x-coordinates in the image are the opposite of the y-coordinates in the pre-image.The y-coordinates in the image are the same as the x-coordinates of the pre-image.Therefore, the triangle was rotated clockwise 270º about the origin.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
In this problem, the vertices of the pre-image are given as follows:
D(-5,2), E(1,5), F(0,-1).
The vertices of the transformed image are given by:
D'(-2, -5), E'(-5,1), F(1,0).
From this, we the rule is given by:
(x,y) -> (-y,x).
Which is equivalent to the rotation rule of a rotation of 270º clockwise.
Hence:
The x-coordinates in the image are the opposite of the y-coordinates in the pre-image.The y-coordinates in the image are the same as the x-coordinates of the pre-image.Therefore, the triangle was rotated clockwise 270º about the origin.More can be learned about translation concepts at https://brainly.com/question/4521517
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I need help please...
Answer:
i think your answer would be $38.60
Step-by-step explanation:
i hope its right
what is the constant of proportionality in the equation x/y = 2/9
Answer:
The constant of proportionality is 4.5
Step-by-step explanation:
To demonstrate the constant of proportionality, we typically use variable k. The equation can look like y/x=k or y=kx
y/x=k
9/2= 4.5
The constant of proportionality is 4.5.
To check the work, we can use the other equation, y=kx.
y=kx
y=4.5(2)
y= 9
I NEED HELP W THIS QUESTION PLS BE FASTT
The area of the figure composed of the square and four semicircles is approximately 242.4 square units.
Describe Semicircle?A semicircle is a two-dimensional geometric shape that is half of a circle. It is formed by drawing a diameter of a circle and then drawing the arc that connects the two endpoints of the diameter. The diameter divides the circle into two equal parts, each of which is a semicircle.
A semicircle has several important properties, including:
It has one straight side, which is the diameter of the circle.
The other side is curved, and it is a half-circle.
The radius of the semicircle is equal to half the diameter of the circle.
The circumference of a semicircle is half the circumference of the circle.
The area of a semicircle is half the area of the circle.
Semicircles are used in many applications of geometry and trigonometry, including in the study of angles, arcs, and circles. They are also used in architecture and engineering to design buildings, bridges, and other structures that have semicircular features.
In addition to being a geometric shape, a semicircle can also refer to a half-circle that is used as a decorative element or design motif. Semicircles are often used in art, architecture, and graphic design to create visually interesting patterns and compositions.
To find the area of the figure composed of a square and four semicircles, we need to first find the area of the square and the area of the four semicircles. Then, we can subtract the area of the four semicircles from the area of the square to get the total area of the figure.
The area of the square is simply the side length squared, so in this case it is:
Area of square = (22)^2 = 484 square units
The diameter of each semicircle is equal to the side length of the square, so the radius is half of that or 11 units. Therefore, the area of each semicircle is:
Area of semicircle = (1/2) * π * r^2 = (1/2) * π * 11^2 = 60.4 square units
Since there are four semicircles, the total area of the four semicircles is:
Total area of semicircles = 4 * Area of semicircle = 4 * 60.4 = 241.6 square units
To get the area of the entire figure, we need to subtract the area of the four semicircles from the area of the square:
Area of figure = Area of square - Total area of semicircles
Area of figure = 484 - 241.6 = 242.4 square units
Rounding this to the nearest tenth gives:
Area of figure = 242.4 (rounded to the nearest tenth)
Therefore, the area of the figure composed of the square and four semicircles is approximately 242.4 square units.
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Multiply. (8×10^2)⋅(2.5×10^2)
2×10^2
2×10^3
2×10^4
2×10^5
Answer:
3.2 x 10^20 or 320000000000000000000
Step-by-step explanation:
Thats it, i think. I might be off on a few zeroes. Hope this helps!
Answer:
3.2 x 10^20 or 320000000000000000000
Step-by-step explanation:
what is the distance from (-4, -7) to (4, 8) ?
Answer:
17
Step-by-step explanation:
We can use this formula:
\(\sqrt{(x2-x1)^2 + (y2 -y1)^2}\) where x and y indicate the coordinates of the two points
\(\sqrt{4-(-4)^2 + (8-(-7)^2} = \sqrt{64 + 225} = \sqrt{289} = 17\)
Answer:
17
Step-by-step explanation:
You are given two points so you use the distance formula
\( \sqrt{( {x 2 - x1)}^{2} + ( {y2 - y1)}^{2} } \)
Substitute your points into the formula
Assessment Example: How will the graph of the function f(x) = 3^x translate when the function is changed to f(x) = 3^(x-2) a. Shift 2 units up b. Shift 2 units down c. Shift 2 units left d. Shift 2 units right
Answer:
d
Step-by-step explanation:
could someone help me with this, I have a few minds left. thanks!! Also marking as brainiest.
Find a tangent vector of unit length at the point with the given value of the parameter t.r(t) = 2 sin(t)i + 3cos(t)jt= pi/6Please express answer in terms of i + j
A tangent vector of unit length at the point with the given value of the parameter t. r(t) = 2 sin(t)i + 3cos(t)j , t= π/6 is r'(t) = √3 i +3/2 j.
Differentiation:
Differentiation is the rate of change of one quantity relative to another. Velocity is calculated as the rate of change of distance over time. The speed at each instant is different from the calculated average. Speed, like grade, is nothing more than the instantaneous rate of change in distance over a period of time.
The ratio of a small change in one quantity to a small change in another quantity as a function of the first quantity is called differentiation.
An important concept in calculus focuses on the differentiation of functions. The maximum or minimum of a function, the speed and acceleration of a moving object, and the tangent to a curve are all determined by differentiation. If y = f(x) is differentiable, then the differential is expressed by f'(x) or dy/dx.
According to the Question:
Given that:
r(t) = 2sin(t)i + 3 cos(t)j,
and, t =π/6
Now,
Differentiating with respect to t, we get:
r'(t) = \(2\frac{d}{dt}sin(t) + 3 \frac{d}{dt} cos(t)\)
⇒ r'(t) = 2cos(t) + 3 sin(t)
Putting t = π/6, we get:
r'(t) = 2cos(π/6) + 3 sin(π/6)
⇒ r'(t) = 2×√3/2 + 3× 1/2
⇒ r'(t) = √3 + 3/2
Writing the equation in the vector form:
r'(t) = √3 i +3/2 j
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Help with trigonometry
Use pythagorean theorem to find the length of x
Answer:
x =√969
Step-by-step explanation:
AC²=AB²+BC². (Formula)
(35)²=(16)²+BC²
1225-256=BC²
969=BC²
BC=√969
Find the additive inverse of 0.25. Write your answer as a decimal to the nearest hundredth
Answer:
-0.25
Simply change the sign and you will get the result.
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Translate the parallelogram up 4 units and left 3 units.
Step-by-step explanation:
die parallelogram met 4 eenhede op en links van 3 eenhede.