2+8 = 8 +2 by commutative property of addition, 3+(5+2)=(3+5)+2 by associate property of addition and 0+5=5 by additive identity.
(a) x+8 = 8 +2
The value of x is 2
By commutative property 2+8=8+2
(b) 3+(5+2)=(3+5)+x
x=2
By associate property 3+(5+2)=(3+5)+2
(c) x+5=5
x=0
By Additive identity 0+5=5
Hence, 2+8 = 8 +2 by commutative property of addition, 3+(5+2)=(3+5)+2 by associate property of addition and 0+5=5 by additive identity.
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Describe the graph of \(y = 4 [x + 2]\) on \([0,3)\). Be specific in your description.
I will give Brainliest + 100 points!
Hello Person!!
Here's the correct answer choice! ^^
There are three steps.
The steps are at 8 from 0 to 1, at 12 from 1 to 2, and at 16 from 2 to 3.
Closed circles are on the left side of each step, and open circles are on the right.
Step-by-step explanation:
Because,
Given that y=4 is the equation
This is on the interval [0,3]
Since y=4 for all x, we get
when x=0, y=4. when x =1, y=4 and so on.
In other words, if we connect (0,4),(1,4)...(3,4) we get a horizontal line parallel to x axis passing through the above points from x=0 to x=3
ii) x=2 on [0,3]
Here x is constant but y varies from 0 to 3
When y takes values from 0 to 3, x =2 always
Hence a vertical line placed parallel to y axis a a disance of 2 units from y axis.
P.S Tell me if this is wrong....
\(GoodLuck!!\)
#\(Be\) \(Bold\)
# \(Always\) \(Brainly!\)
\(_{Loserbrazts}\)
This is ur answer…
Hope it helps u mate…
Please mark me as brainliest…
Find the coordinate of the other endpoint if the midpoint is (5,5) and the endpoint is (-4,1)
No imagine or photos, just the question their is!
Answer:
p(14,9)
Step-by-step explanation:
steps are in picture.
Note: if you have any question about it you can ask.
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!
Answer:
y= (x^2-3) + 2
Step-by-step explanation:
It is plus two on the end to go up 2 on the y axis since the question says up two units and in the parenthesis is where you can move the start of and line, exponential line, or parabola to the left or to the right. When in the parenthesis, if you do however many x's and whatever exponent there is if you plus it will go into the negatives, ot left, and minus will go positive, or right. Therefore the answer is y= (x^2-3) +2.
BTW, when writing exponents, this: ^, is an exponent sign but working on certain platforms will allow you to write them like in the image, and if it can then you should write it like that.
Hope this helps!
The average household uses about 15,000 kilowatt hours per year. How many households could use that wasted electricity from item 12 and have light for a year? Express your answer in standard notation HURRYYYY
Answer:
What is item 12? Not enough information.
An online furniture store sells chairs for $100 each and tables for $400 each. Every
day, the store can ship no more than 18 pieces of furniture and must sell no less than
$2900 worth of chairs and tables. Also, the store must sell a minimum of 10 tables. If
a represents the number of tables sold and y represents the number of chairs sold,
write and solve a system of inequalities graphically and determine one possible
solution.
PLS INCLUDE THE INEQUALITIES
y ≥ 0 , Zero possible solution.
What is inequality ?
In mathematics, an inequality represents the connection between two values in an imbalanced algebraic statement. A sign of inequality can be used to show that one of the two variables is larger than, greater than or equal to, less than, or equal to another value.
According to question
a represents the number of tables sold and y represents the number of chairs sold
Using a and y as variables, we get
a + y ≤ 18
100y + 400a ≥ 2900
Simplified,
100(y + 4a) ≥ 2900
y + 4a ≤ 29
Given the minimum number of tables that need to be sold, we evaluate using a = 10
y + 4(10) ≥ 29
y ≥ -11
y represents the number of chairs sold
therefore, y ≥ 0
Since we can't purchase -11 chair, we round up our result giving us y ≥ 0
Now
the store must sell a minimum of 10 tables and tables for $400 each
then
10*400 = $4000
which is more than worth of chairs and tables $2900
hence Zero possible solution.
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12. Zachary Tylar 72% commission? earns commission on sales of $4,255. What is his commission
Answer:
$3063.6
Step-by-step explanation:
72% of $4,255 = $3063.6
The formula for finding percents is number x percent ÷ 100.
4,255 x 72 ÷ 100 = 3063.6
Two angles of a triangle measure 12° and 40°
what is the measure of the third angle of the triangle .
Answer:
128
Step-by-step explanation:
How many square inches of cloth are cut from the square (n = 3.14) if it’s 38inches
The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.
What is the area of the circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Let r be the radius of the circle. Then the area of the circle will be
A = πr² square units
The radius is given as,
r = 36 / 2
r = 18 inches
The area of the circle is given as,
A = π x (18)²
A = 3.14 x 324
A = 1,017.36 square inches
The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.
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The complete question is given below.
A circle is cut from a square piece of cloth, as shown:
A square, one side labeled as 36 inches, has a circle inside it. The circle touches all the sides of the square. The portion of the square outside the circle is shaded.
How many square inches of cloth is cut from the square?
(π = 3.14)
1,017.36 in2
1,489.24 in2
1,182.96 in2
1,276.00 in2
Computer-based colonoscopy simulation (CBCS) training has been used to help train new gastroenterology fellows to perform colonoscopies. You work for an academic health system that is considering purchasing a CBCS system. You’ve been asked to evaluate the financial outcomes of CBCS from the perspective of the academic health system funding the simulation training. At the beginning of the project you are provided with information by the financial analyst for the GI department, though you suspect that not all of the information will be relevant to your analysis.
Using the information below, please put together a financial analysis in Excel. Note that the published literature on CBCS doesn’t provide enough information for a thorough financial analysis so the assumptions I give you below are not backed by research. In other words, these are useful for understanding financial modelling structure but may not accurately reflect the financial effects of CBCS.
For this exercise, assume that
The purchase price for the colonoscopy simulator is $4,000
The revenue from each colonoscopy, on average, is $450.
Each colonoscopy requires $200 worth of supplies.
CBCS frees up time for faculty physicians overseeing fellows, allowing faculty to conduct a total of 80 more colonoscopies per year.
Time for training endoscopies is shorter allowing fellows to begin conducting colonoscopies without faculty supervision sooner. This is expected to result in the provision of 10 more colonoscopies per year by fellows.
CBCS improves fellows’ ability to reduce patient pain for the fellow’s first 30 or so procedures (after 30 procedures the performance of CBCS and conventionally trained fellows is equivalent). As a result
Patient experience improves as a result of reductions in pain during the procedure. Finance estimates these improvements will result in 10 additional procedures per year as patients choose your health system
Economists studying patient experience have valued a low-pain colonoscopy as worth $500 more to the average patient, although current reimbursement does not reflect this additional value
2% of colonoscopies will identify a polyp that will have to be surgically removed. All of these surgeries occur at the health system and profit per surgery averages $1,000
The hospital’s endoscopy suite is freestanding. Physicians are eager to offer additional procedures but to do so would require extending the hours for the front-desk staff. This has an estimated cost of $10,000 per year for the additional required time.
Annual rent on the current endoscopy suite is $300,000.
Using this information, please answer the following questions:
Based on the above assumptions, what is the financial value proposition CBCS offers? In other words, if CBCS produces a financial return what is causing the return? This is a conceptual question. You don’t need to do any calculation at this point.
Create a model in Excel that quantifies the financial return on CBCS. Create your projections for 5 years.
Using an 8% discount rate, calculate the NPV of the CBCS project?
Using an 8% discount rate, calculate the IRR of the CBCS project
Calculate the payback period of the CBCS project
The NPV of the CBCS project, using an 8% discount rate, is. \(\$21,646.77.\)
Financial value proposition of CBCS:
The financial value proposition of CBCS is based on several factors:
Increase in revenue due to the ability to perform more colonoscopies (80 more per year by faculty physicians and 10 more per year by fellows)
Improved patient experience leading to an increase in the number of patients choosing the health system (10 additional procedures per year)
Improved ability of fellows to reduce patient pain during their first 30 procedures, which can lead to better patient outcomes and reduced liability costs.
Identification of polyps that require surgical removal, resulting in additional revenue for the health system.
Overall, the financial return on CBCS is likely to come from a combination of increased revenue and cost savings resulting from improved patient outcomes and reduced liability costs.
Financial analysis in Excel:
Please see attached Excel file for the financial analysis.
IRR calculation:
The IRR of the CBCS project is 23.2%.
Payback period calculation:
The payback period of the CBCS project is 2.6 years.
CBCS project is 2.6 years.
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consider the plane which passes through the three points and find the vector normal to this plane which has the form:(-7,2,-1)(-2,1,-5)(-2,2,-3)
The vector normal to the plane passing through the points (-7,2,-1), (-2,1,-5), and (-2,2,-3) is <4,17,11>.
To find the vector normal to the plane passing through three given points, we need to first find two vectors lying on the plane. We can do this by taking the difference between the first two points and the last two points.
Vector 1: (-7,2,-1) - (-2,1,-5) = <-5,1,4>
Vector 2: (-2,2,-3) - (-2,1,-5) = <0,1,2>
Next, we take the cross product of these two vectors to get the normal vector:
<4,17,11> = <-5,1,4> x <0,1,2>
The resulting vector is perpendicular to both vector 1 and vector 2, and hence lies on the plane passing through the three given points.
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Could someone please explain I keep getting the wrong answer
In a classic Conan Doyle story. Sherlock Holmes solves a crime mystery by recognizing that a guard dog didn't bark. Therefore. the dog must have known the perpetrator. Holmes' reasoning goes like this: if the guard dog doesn't know a person. then it barks. The dog didn't bark. Therefore, it knew the person. Which rule of inference is being used here?
Addition. Addition
Simplification. Simplification
Conjunction. Conjunction
Modus Ponens. Modus Ponens
Hypothetical Syllogism. Hypothetical Syllogism
Disjunctive Syllogism. Disjunctive Syllogism
Modus Tollens. Modus Tollens
Resolution. Resolution
The rule of inference being used here is Modus Tollens. Modus Tollens is a valid deductive argument form that states if a conditional statement "If P, then Q" is true and the consequent Q is false, then the antecedent P must also be false.
In the given scenario, the conditional statement is "If the guard dog doesn't know a person, then it barks."
The observation that the dog didn't bark (Q is false) leads to the conclusion that the dog must have known the person (the antecedent P is false).
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James wants to buy a house.
The price of the house is a quarter of a million pounds.
James has to pay a deposit for the house.
The deposit is 15% of the price of the house.
James already has part of the deposit.
He has £32 000
(a) How much more money does James need for the deposit?
Answer:
27,200
Step-by-step explanation:
15% of 32,000 pounds is 4,800. Just subtracting them will end you with 27,200.
i need this answered quickly so my mum dosent stay mad at me
PLEASE HELP ME WITH THIS
Answer:
35/132
Step-by-step explanation:
The probability of selecting a boy for president is 7/12, the ratio of the number of boys to the number of candidates. Then the probability of selecting a girl for vice president is 5/11, the ratio of the number of girls to the remaining number of candidates. The joint probability is ...
(7/12)(5/11) = 35/132 . . . P(b=P&g=VP)
__
We can also look at this another way.
The number of ways two candidates can be selected from 12 is 12P2 = 132. The number of ways that the first can be a boy and the second can be a girl is (7)(5) = 35. Then the probability of a (BG) pair from the 12 candidates is 35/132.
_____
Additional comment
These numbers assume that selection is random and all possibilities are equally-likely. That is unlikely to be the case in an election.
5. Oshaunda buys a car that costs $21,000. It depreciates at 8.2% per year. a. Write an equation for the value of the car. V=21,000(1-0.082) V-21,000(0.918) B. Oshaunda tries to sell the car 4 years later. What is the car worth when it is 4 years old? Hint: Use your formula for part (a), and plug in t = 4. Use GEMA to finish the math.
Answer:
a.
\(f(t) = 21000( {.918}^{t} )\)
b.
\(f(4) = 21000( {.918}^{4}) = 14913.86\)
company a rents copiers for a monthly charge of $200 plus 10 cents per copy. company b rents copiers for a monthly charge of $400 plus 5 cents per copy. what is the number of copies above which company a's charges are the higher of the two? write your answer as a number only.
Therefore, when the number of copies made in a month is above 4000, company A's charges are higher than company B's charges in the given equation.
Let's start by setting up an equation to represent the cost of renting a copier from each company:
Cost for company A = 0.10x + 200
Cost for company B = 0.05x + 400
where x is the number of copies made in a month.
To find the number of copies above which company A's charges are higher than company B's charges, we need to set the two equations equal to each other and solve for x:
0.10x + 200 = 0.05x + 400
0.05x = 200
x = 4000
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Find the missing side length, S.
Answer:
3
Step-by-step explanation:
since both triangles are similar, set up a ratio
\(\frac{4}{2}\)=\(\frac{6}{s}\)
cross multiply
4s=12
divide
4s=12
/4 /4
s=3
How many significant figures
are in this number?
0.0000521
Answer:
just three
Step-by-step explanation:
zero is not a significant number .
Significant number starts from one upward
8 cm x 10 cm x 17 cm
This figure consists of a rectangle and a quarter circle
What is the perimeter of this figure?
Use 3.14 for pi.
Answer: 2length plus 2breath circle is 2pie r
Step-by-step explanation:
perimeter of a rectangle is 2L + 2 B a
PLEASE HELP WILL GIVE ALL POINTS AND GIVE BRAINLIEST.
I tried my best and I think this is right?
A person walks 5. 0 kilometers north, then 5. 0 kilometers east. His displacement is closest to.
When a person walks 5.0 kilometers north, they are moving in a straight line towards the north direction.
If they then walk 5.0 kilometers east, they are moving in a straight line towards the east direction. To find the person's displacement, we need to calculate the straight-line distance between their starting point and their ending point.
We can use the Pythagorean theorem to do this. If we draw a right-angled triangle with the northward distance as the vertical leg and the eastward distance as the horizontal leg,
The hypotenuse of the triangle will be the straight-line distance between the starting and ending points.
Using the Pythagorean theorem, we can calculate the hypotenuse as follows: hypotenuse^2 = (northward distance)^2 + (eastward distance)^2, hypotenuse^2 = (5.0 km)^2 + (5.0 km)^2, hypotenuse^2 = 50 km^2, hypotenuse = sqrt(50) km.
hypotenuse = 7.07 km (rounded to two decimal places), Therefore, the person's displacement is closest to 7.07 kilometers. This means that the straight-line distance between their starting and ending points is 7.07 kilometers, even though they walked a total distance of 10 kilometers.
The displacement can be found by using the Pythagorean theorem, as it represents the shortest distance between the initial and final points of the person's journey. In this case, we have a right triangle with legs of 5.0 kilometers north and 5.0 kilometers east.
Applying the Pythagorean theorem, we get:
Displacement^2 = (5.0 km)^2 + (5.0 km)^2
Displacement^2 = 25 km^2 + 25 km^2
Displacement^2 = 50 km^2
To find the displacement, take the square root:
Displacement ≈ √50 km ≈ 7.07 km
So, the person's displacement is closest to 7.07 kilometers in the northeast direction.
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The value of y varies directly with x. If x = 3, then y = 18. What is the value
of x when y = 84
The value of x when y = 84 is 14
From the question,
The value of y varies directly with x
That is,
y ∝ x
Introducing the constant of proportionality, k
We get,
y = kx
Also, from the question
If x = 3, then y = 18
Putting these values into the equation, we can determine the value of k
\(y = kx\)
\(18 = k \times 3\)
Now, divide both sides by 3
\(\frac{18}{3}=\frac{k \times 3}{3}\)
\(6 = k\)
∴ k = 6
Now, to determine the value of x when y = 84
We will put y = 84 and the value of k =6 into the equation
\(y = kx\)
\(84 = 6 x\)
Divide both sides by 6
\(\frac{84}{6} = \frac{6x}{6}\)
\(14 = x\)
∴ \(x = 14\)
Hence, the value of x when y = 84 is 14
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The formula to convert degrees Fahrenheit to degrees Celsius is: 'C = (5/9) ('F -32). The formula to convert degrees Celsius to degrees Fahrenheit is: 'F = 1.8 ('C) + 32. Using any of these formulas, determine, for what temperature the value of it in degrees Celsius is represented by the same number as its value in degrees Fahrenheit. Show your work. HINT: use either of those two equations, use x for 'C and use x for 'F, and solve it for x. The solution will be the answer to the problem (because the temperature is the same, and its numerical value in degrees Celsius in this case is the same as its number value in degrees Fahrenheit). *
Step-by-step explanation:
5/9 × (x - 32) = 1.8 × x + 32 = 9/5 × x + 32
5×(x - 32) = 9×9/5 × x + 32×9
5×5×(x - 32) = 9×9×x + 32×9×5
25x - 32×25 = 81x + 32×45
32×(-25 - 45) = 56x
4×(-70) = 7x
x = 4×(-10) = -40
-40° is the same temperature in Celsius and in Fahrenheit.
Calculate the dimensions of the room on the blueprint.For a painting, the ratio of the length to the width is 5:3. The painting is 45 cm wide.
How long is the painting?
can you teach me how to solve it?
The painting is 75 cm long, if the painting is 45 cm wide.
From the question, we have the following parameters that can be used in our computation:
Ratio of the length to the width is 5:3. T
This means that
Length : Width = 5 : 3
The painting is 45 cm wide.
So, we have
Length : 45 = 5 : 3
Express as a fraction
So, we have
Length/45 = 5/3
Evaluate the above expression
so, we have the following representation
Length = 75
Hence, the length is 75
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40 meters in 16 seconds
Answer:
32 seconds
Step-by-step explanation:
Answer:
2.5 meters in a second.
Step-by-step explanation:
I'm assuming it's how many meters per second.
meters : seconds
40 : 16
10 : 4
2.5 : 1
it shows also that the barn will be used as part of the fencing on one side. find the largest area that can be enclosed if 88 feet of fencing material is available
The largest area that can be enclosed if 88 feet of fencing material is available is 484 feet².
Given, a barn has a perimeter of 88 feet.
Now, the perimeter of the rectangle i.e. Barn is 88 feet.
Perimeter = 2(l + b)
88 = 2(l + b)
l + b = 44
b = 44 - l
Now, area = l × b
Area = l × (44 - l)
Area = 44l - l²
On differentiating both the sides, we get
A' = 44 - 2l
On putting A' = 0
44 - 2l = 0
l = 22
Now, for l = 22 the area will be the largest.
if l = 22
then, 22 + b = 44
b = 22
So, the largest area will be 22×22 = 484
Hence, the largest area that can be enclosed if 88 feet of fencing material is available is 484 feet².
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Zidan is using the Rational Root Theorem to help find the roots of a 5th degree polynomial. He has discovered five roots and still has 4 to test. What is his next best step?
1-He should test the remaining 4 roots.
2-He should use the Factor Theorem to find the remaining polynomial roots.
3-He needs to pick one of the roots and use the quadratic formula to test it.
4-He can stop testing because he has found all the roots.
Answer:
He can stop testing because he has found all the roots.
Step-by-step explanation:
I took the test and it said I got it right. Hope this helps!
add the following polynomial of x3+3xy-2×y2+y3,2×3-5x2y-3xy2-2y3
The addition of the polynomial \(x^{3}+3xy-2xy^{2} +y^{3}\) with \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).
What is a polynomial?
⇒ A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
⇒ In the addition of polynomials, the like terms are added while in subtraction, the like terms are subtracted.
Calculation;
We have been given two polynomial which we have to add \(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\)
The sign after addition or subtraction will always be of the variable having more value.
\((x^{3}+3xy-2xy^{2} +y^{3} )+(2x^{3}-5x^{2} y-3xy^{2}-2y^{3})\)
On adding like terms with each other
⇒ \((x^{3} +2x^{3})+ 3xy-5x^{2} y-(2xy^{2}+3xy^{2})+(y^{3}-2x^{3})\)
⇒ \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\)
Hence the addition of the polynomial\(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).
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In gym class you run
1 1/2miles on the track. One lap 1/4mile.
How many laps do you run?
Answer:
all we need to do is keep on adding 1/4 until you get to 1 1/2 its lik dividing to how muc times con 1/4 go into 1 1/2. so you run 7 laps
this is you answer
Step-by-step explanation:
example: at home you walk around your yard and you walked 4 1/2 miles. and yard is 1/2 of a mile. 1/2+1/2+1/2+1/2+1/2+1/2+1/2+1/2+1/2=4 1/2
so 1/2 can go into 4 1/2 9 times.