Answer: The expression which is not equivalent to (8 + (n - 4)) is (12+n) and this can be determined by using the arithmetic operations.
Given :
Expression - 8 + (n - 4)
To simplify the given expression following steps can be used:
Step 1 - Rewrite the given expression.
= (n - 4) + 8
Step 2 - Now, remove the parenthesis in the given expression.
= n - 4 + 8
Step 3 - Now, write 8 as the addition of 4 and 4.
= n - 4 + 4 + 4
Step 4 - Subtract 4 by 4.
= n + 4
Determine whether the correspondence is a function. Is this correspondence a function? Yes No
No, this correspondence is not a function because a function is a relation between two sets of values in which each value of the first set corresponds to exactly one value in the second set.
In this case, there is no information given about the correspondence, so it is impossible to determine if it is a function or not.
A function is a special type of relation in which each value of the first set, sometimes referred to as the domain, is associated with exactly one value in the second set, called the range. A function must satisfy the property of functional uniqueness, meaning that each element of the domain is associated with exactly one element in the range. If a correspondence fails to meet this requirement, then it is not a function. Without knowing any more information about the correspondence, it is impossible to determine if it is a function or not.
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Challenge The price of Stock A at 9 AM. was $14.62. Since then, the price has been increasing at the rate of $0.13 each hour. At noon the price of Stock B was $15.37. It begins to decrease at the rate
of $0.15 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
After 2.68 hours the price of both stocks be the same.
What is stock?A stock denotes an investment to the public company. The term stock is used to confirm the certificate of all shareholders who invested for a large company.
What is stock price?The word stock price refers the current value or market price. price can be dropped or extended or remain the same.
Given, The price of stock A at 9AM =$14.62
since then, this price start increasing $0.13 per hour
At noon the price of Stock B =$15.37
since then, this price start decreasing $0.15 per hour
let, it takes x hours that the prices of both stocks become equal.
after x hour the stock A become $14.62+$0.13x
after x hours the stock B become $15.37-$0.15x
as per given statement, 14.62+0.13x = 15.37-0.15x
solving equation, we get x=2.68
hence, after 2.68 hours the price of both stocks be the same.
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Answer:
1 2/7 hours (after noon)
Step-by-step explanation:
You want to know how long after noon two stocks will have the same price if A was $14.62 at 9 a.m. and increasing $0.13 per hour, while B was $15.37 at noon and decreasing $0.15 per hour.
SetupIf x represents hours after midnight, the price of stock A can be described by ...
A = 14.62 +0.13(x -9)
and the price of stock B can be described by ...
B = 15.37 -0.15(x -12)
SolutionThe two prices will be the same when ...
A = B
14.62 +0.13(x -9) = 15.37 -0.15x -12 . . . . . substitute for A and B
0.13x +13.45 = -0.15x +17.17
0.28x = 3.72 . . . . . . . . . add 0.15x-13.45
x = 3.72/0.28 = 13 2/7 . . . . . . hours after midnight
To find the number of hours after noon, we need to subtract 12 from this number. 13 2/7 -12 = 1 2/7
The two stocks will be the same price after 1 2/7 hours.
__
Additional comment
That's about 1:17 p.m.
The wording "in how many hours" is a bit ambiguous, since there are two different time references given in the problem. We assume we want hours after the later time reference, noon.
Which is the product of 56 and 5/9
1, 1 and 4/9
2, 30
3, 31
4, 31 and 1/9
Answer:
4.
Step-by-step explanation:
strange phrasing of the answer options.
anyway, the product of 56 and 5/9 is
56 × 5/9 = 56×5 / 9 = 280/9 = 31 1/9
or as the definition says 31 and 1/9.
because 31×9 = 279.
280 - 279 = 1
so, there is a remainder of 1, which means 1/9.
280/9 = 279/9 + 1/9 = 31 1/9
The elevation of City A is 60 feet above sea level. The elevation of City C is 12 feet above sea level. The elevation of City D is 1 over 2 of the elevation of City C.
Part A: Write an expression to represent the elevation, in feet, of City D. (5 points)
Part B: Solve the expression, and explain why the answer is negative or positive. (5 points)
A) D = 1/2[C] = 1/2[-16]
B) Elevation of city D is -8 feet.
Answer is negative due to -8 feet below sea level.
What is elevation?
The elevation is the height above sea level. Typically, elevations are expressed in feet or meters. Maps can depict them using contour lines, which link points of the same elevation, color bands, or numbers that indicate the precise elevations of specific points on the surface of the Earth.
The elevation of city A is 60 feet below sea level
⇒ A = -60
The elevation of city C is 16 feet below sea level
⇒ C = -16
The elevation of city D is 1 over 2 of the elevation of city C.
⇒ D = 1/2[C]
Part A: Write an expression to represent the elevation, in feet, of city D.
⇒ D = 1/2[C] = 1/2[-16]
Part B: Solve the expression and explain why the answer is negative or positive.
⇒ D = 1/2[-16]
D = -8
As a result Elevation of city D is -8 feet.
Here founded answer is negative due to -8 feet below sea level.
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In April, Anthony's shop made a daily profit of $400 in 12 days and a daily loss of $300 in the rest of the month. It is given that his shop opened every day in April. Find the average daily profit or loss of Anthony's shop in April.
please use directed numbers to solve
The average daily loss of Anthony's shop in April is $20.
How is the average daily loss determined?The average daily loss is the total net profit (loss) divided by the number of days in April.
An average is the mean of the value in a data set, which is determined as the quotient between the total value and the number of items.
Days in April = 30
Daily profit in 12 days = $400
Daily loss in 18 days (30 - 12) = $300
Total daily profit = $4,800 ($400 x 12)
Total daily loss = $5,400 ($300 x 18)
Net daily loss = $600 ($5,400 - $4,800)
Average daily loss = $20 ($600/30)
Thus, in April, Anthony's shop incurred an average daily loss of $20.
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Which expression is equivalent to 3 ( 4 x + 10 ÷ 2 + 3 ) ?
Five identical rectangular pieces of cloth of different prints when arranged as shown form a square patch. If the perimeter of each rectangular piece is 48 cm, what is the perimeter of the square patch?
(With explanation)
Answer:
Perimeter of the square patch is 240 cm.
Step-by-step explanation:
If the perimeter of each rectangular piece is 48 cm, then the length of each side of each rectangular piece is 12 cm. When the rectangular pieces are arranged to form a square patch, the patch will have 5 rows and 5 columns of rectangular pieces. Since the rectangular pieces are identical, the length of each side of the square patch will be 5 times the length of one side of a rectangular piece. Therefore, the length of each side of the square patch will be 5 * 12 cm = 60 cm.
The perimeter of the square patch is the sum of the lengths of all four sides of the patch. Since all sides of the patch have the same length, the perimeter of the square patch will be 4 * 60 cm = 240
Aria measured a line to be 5.1 inches long. If the actual length of the line is 4.8 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer: 6.3%
Step-by-step explanation:
When solving x² - 10x-13-0 by completing the square, which equation is a step in the
process?
1) (x - 5)² = 38
2) (x - 5)² = 12
3) (x-10)² = 38
4) (x-10)² = 12
Answer:
1)
Step-by-step explanation:
[tex] {(x - 5)}^{2} = 38[/tex]
The required step solving the equation using Completing the square method is (x - 5)² = 38.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have the Equation: x² - 10x-13 = 0
Now, half the coefficient of x and add and subtract the square of the half of the coefficient of x.
So, x² - 10x-13 = 0
x² - 10x-13 -5² + 5² = 0
(x - 5)² - 25 - 13 = 0
(x-5)² -38= 0
(x - 5)² = 38
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How would you express the formula E3 + E4 in the form of an absolute cell address? would represent the same formula written using absolute cell addresses.
$E$3+$E$4
E3$+E4$
E$3+E$4
$(E3+E4)
$3$E+$4$E
The formula E3 + E4 can b expressed in the form of absolute cell address, that is option (a) $E$3+$E$4
The given formula is
E3 + E4
In the absolute cell address the coordinates of the column and row will be constant while copying a formula from one cell to the other. Here we use the dollar sign "$" before the coordinates of the column and row to correct them.
The given formula is E3 + E4
The E is the name and 3 and 4 are the coordinates of the column and row
The absolute cell address = $E$3+$E$4
Therefore, the absolute cell address of the given formula is $E$3+$E$4
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16. If an object moves around a circle of radius r at constant speed v, it has an acceleration towards the center of the circle, of magnitude: 7"
If an object moves around a circle of radius r at constant speed v, it has an acceleration towards the center of the circle, of magnitude: 7",, the magnitude of the acceleration towards the center of the circle is:
a = v^2/r
The acceleration of an object moving around a circle at constant speed is not constant. The magnitude of the acceleration is equal to the square of the speed, divided by the radius of the circle. Therefore, the magnitude of the acceleration towards the center of the circle is:
a = v^2/r
An object moving around a circle of radius r at constant speed v experiences an acceleration towards the center of the circle. This acceleration is known as centripetal acceleration, and is equal to the square of the speed, divided by the radius of the circle. Mathematically, this can be expressed as a = v^2/r. Therefore, the magnitude of the acceleration towards the center of the circle is equal to v^2/r.
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A wooden box in the shape of a rectangle prism has a diagonal with a length of 25 centimeters, as shown.
What is the length of DH ?
___ centimeters
Using Pythagoras theorem the side length of DH is 9cm
Pythagoras's TheoremPythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.
To find the value of DH, we can use Pythagoras's theorem to find the length of HC
EC² = EH² + HC²
25² = 20² + HC²
HC² = 25² - 20²
HC² = 225
HC = √225
HC = 15
Using Pythagoras's theorem again, we can find DH
HC² = DC² + DH²
15² = 12² + DH²
DH = 9
The length of DH is 9cm
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PLEASE HELP
Write and solve the inequality that represents negative one third is greater than or equal to the product of negative two fifths and a number.
negative one third is greater than or equal to negative two fifths y where y is greater than or equal to negative five sixths
negative one third is greater than or equal to negative two fifths y where y is greater than or equal to five sixths
negative two fifths is greater than or equal to negative one third y where y is less than or equal to negative two fifteenths
negative two fifths is less than or equal to negative one third y where y is greater than or equal to two fifteenths
Negative one third is greater than or equal to negative four fifths y where y is greater than or equal to five twelfths
What is inequality?
A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
From the text given in this problem, we build the inequality, and then solve it. Also,
Negative one fifth is -1/5.The product of negative two thirds and a number is -2/3x, as the number is unknown, hence we call it x.Given:
-1/3≥ (-4/5) * y
-1/3*(-5/4) ≤ y
5/12≤y
Hence, negative one third is greater than or equal to negative four fifths y where y is greater than or equal to five twelfths.
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Michael finished â…" of a bag of candy in 3 days. at this rate, how long will it take him to eat the entire bag of candy?
Answer:
3 days.
Step-by-step explanation:
The first sentence states that Michael ate a whole bag in 3 days. That's how long it will rtake him to eat a bag of candy, assuming it is the same size and tastiness as the first.
write the sentence as an equation 22 equals a reduced by 295
Answer: 22 = a - 295
Step-by-step explanation:
"equals" means equals or the solution and can be shown with the equal sign.
"reduced by" also means subtracted by and can be shown as the minus sign.
I hope this helps :)
Please help solve this problem
Answer:
120m/s
Step-by-step explanation:
v-? (speed)
s-5400m(travel)
t-45s(time)
v=s/t
v=5400/45
v=120m/s
What is 1 1/4 as a improper fraction?
The improper fraction of the mixed fraction 1 1 / 4 is 5 / 4.
How to represent mixed fraction to improper fraction?An improper fraction has a numerator greater than the denominator. In other words, Improper fractions are defined as fractions for which the numerator is greater than the denominator.
The fraction is in mixed fraction, 1 1 / 4 .
A mixed fraction is defined as a fraction formed by combining a whole number and a fraction.
Hence, let's convert the mixed fraction to improper fraction.
Therefore,
1 1 / 4 = 5 / 4
Therefore, the improper fraction is 5 / 4.
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HELPPPP ASAPPPP PLEASEE!!!
Answer:
step 4 ,step 2, step 1 , step 3 , step 5
50 POINTS PLEASE HELP
Write quadratic functions given three points in a plane
1) Find the equation for the parabola using the linear system (pictured)
2) Write three equations using three ordered pairs
3) Write the linear system
4) Solve the system using substitution then elimination, show all work and steps
5) List the three parameter values
6) Write the quadratic equation
The resulting quadratic equation that represents the parabola is y = 2 · x² - 7 · x - 4.
How to determine the quadratic equation that represents a parabola
In this problem we find the representation of a parabola. Parabolae are always represented by quadratic equations, that is, polynomials of the form:
y = a · x² + b · x + c
Where:
x - Independent variable.y - Dependent variable.a, b, c - Real coefficients.First, write the coordinates of the three points highlighted on Cartesian plane:
(x₁, y₁) = (- 1, 5), (x₂, y₂) = (0, - 4), (x₃, y₃) = (4, 0)
Second, create a system of linear equations based on the three points and the equation of the parabola:
a - b + c = 5
c = - 4
16 · a + 4 · b + c = 0
Third, solve the system of linear equations:
Step 1 - Second equation:
c = - 4
Step 2 - Second equation in the first and third equations:
a - b = 9
16 · a + 4 · b = 4
Step 3 - Clear a in the first equation on Step 2:
a = 9 + b
Step 4 - Substitute a in the second equation on Step 2:
16 · (9 + b) + 4 · b = 4
144 + 20 · b = 4
20 · b = - 140
b = - 7
Step 5 - By the equation on Step 3:
a = 9 - 7
a = 2
Fourth, write the solution of the system of linear equations:
(a, b, c) = (2, - 7, - 4)
Fifth, write the resulting quadratic equation:
y = 2 · x² - 7 · x - 4
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reliability is part 2 a. the probability that a machine part or product will function properly for a specified time under stated conditions. b. improving individual components with maintenance.
Maintenance tactics include providing redundancy.
This is the correct answer (B).
Now, According to the question:
Let's know:
Probability:- It is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
B. Maintenance tactics include providing redundancy.
This is the correct answer (B).
The complete question is this:
Which of the following statements is NOT true?
A. Good maintenance and reliability management enhances a firm's performance and protects its investment.
B. Maintenance tactics include providing redundancy.
C. Reliability is the probability that a machine part or product will function properly for a specified time under stated conditions.
D. Maintenance includes all activities involved in keeping a system's equipment in working order.
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Find the slope of the line that passes through M(3, 5) and N(2. 6).
slope is 6-5/2-3 = - 1.....
Answer: -1
Step-by-step explanation:
what are m and b in the linear equation, using the common meanings of m and b? 2+3X+5-2X=y
Answer: m = 1, b = 7.
Step-by-step explanation:
First, you must convert 2 + 3x + 5 - 2x = y to slope-intercept form. (y = mx + b)
y = mx + b
y = x + 7
The slope (m) is 1
The y-intercept (b) is 7
Beth bought 16 tickets to a movie, where adult tickets cost $8.00 and senior citizen
tickets cost $5.00. She spent a total of $120. Create a system of equations to determine
the number of adult tickets and the number of senior citizen tickets that Beth
purchased?
A system of equations that determines the number of adult tickets and the number of senior citizen tickets that Beth purchased is x + y = 16
8x + 5y = 120.
What is a system of an equation?
A set or group of equations that you solve all at once is referred to as a "system" of equations. The simplest linear system is one with two equations and two variables. Linear equations (those that graph as straight lines) are easier to understand than non-linear ones.
Here, we have
Given: Beth bought 16 tickets to a movie, where adult tickets cost $8.00 and senior citizen tickets cost $5.00. She spent a total of $120.
We let adult tickets be x and
let senior citizens' tickets be y.
x + y = 16....(1)
8x + 5y = 120...(2)
From equation(1)
x = 16 - y
we put the value of x in equation(2) and we get
= 8(16 - y) + 5y = 120
= 128 - 8y + 5y = 120
= 3y = 8
y = 8/3
Now, we put the value of y in equation(1) and we get
x = 16-8/3
x = 40/3
Hence, a system of equations that determines the number of adult tickets and the number of senior citizen tickets that Beth purchased is x + y = 16
8x + 5y = 120.
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If f(x)=x²-2 and g(x)=x-3, what is (fog)(x)?
O (fog)(x) = x² +7
(fog)(x)=x²-6x+7
O (fog)(x)=x²-3x+7
O (fog)(x)=x²-5
Answer:
The correct answer is (fog)(x) = x² - 6x + 7.
To evaluate (fog)(x), you first need to find g(x) and then substitute the result into f(x).
g(x) = x - 3
So, (fog)(x) = f(g(x)) = f(x - 3) = (x - 3)² - 2 = x² - 6x + 9 - 2 = x² - 6x + 7.
I hope this helps! Let me know if you have any other questions.
Step-by-step explanation:
SELF EXPLANATORY
Answer:
[tex](f \circ g)(x)=x^2-6x+7[/tex]
Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=x^2-2\\g(x)=x-3\end{cases}[/tex]
Function composition is an operation that takes two functions and produces a third function.
The given composite function (f o g)(x) means to substitute the function g(x) in place of the x in function f(x):
[tex]\begin{aligned}(f \circ g)(x)&=[g(x)]^2-2\\&=(x-3)^2-2\\&=x^2-6x+9-2\\&=x^2-6x+7\end{aligned}[/tex]
explain how to graph the given piecewise-defined function. be sure to specify the type of endpoint each piece of the function will have and why.
The endpoint of each piecewise-defined function is obtained.
Explain the piecewise-defined function?A function that is defined by many sub-functions, each of which applies to a specific interval of the main function's domain, is known as a piecewise-defined function (also known as a piecewise function or even a hybrid function) (a sub-domain).The stated function is-
-x + 3 ; x < 2
3 ; 2 ≤ x < 4
4 - 2x ; x ≥ 4
Due to x being bounded, the graph of f(x) = -x + 3 is drawn for x smaller than 2.Because x is bounded (greater than or equal to 2, but less than 4), the graph of f(x) = 3 is drawn.For x higher than or equal to 4, the graph of f(x) = 4 - 2x is drawn since x is bounded.For greater clarity, see the graph that is attached.
Purple is the representation of f(x) = -x + 3.Orange is a representation of f(x) = 3.Green represents the equation f(x) = 4 - 2x.To know more about the piecewise-defined function, here
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The complete question is-
Explain how to graph the given piecewise-defined function. Be sure to specify the type of endpoint each piece of the function will have and why. f(x) = StartLayout enlarged left-brace 1st Row 1st column negative x + 3, 2nd column x less-than 2 2nd row 1st column 3, 2nd column 2 less-than-or-equal-to x less-than 4 3rd Row 1st column 4 minus 2 x, 2nd column x greater-than-or-equal-to 4 EndLayout
A car was bought for £8000.its value depreciated 20% each year
Answer:
Step-by-step explanation:
i need points goodluck tho
Solve the inequality.
a-2>4
The solution is
Graph the solution.
-14 -12
-10
1
-8
-6
-4 -2 0
−2
AL
4
6
+8
8
10
12
14
The solution to the given inequality is; a > 6
How to solve Inequality problems?The given inequality is;
a - 2 > 4
Now, to start to solve this, we add 2 to both sides of the inequality using addition property of equality to get;
a - 2 + 2 > 4 + 2
a > 6
Now, the inequality when shown on a line plot is as attached and it shows that the arrow points to the right hand side.
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How much more is Rs. 5000 including 13% VAT on it than Rs. 5500.
When 13% VAT is levied on Rs 5000, the total price becomes Rs. 5650. This amount is Rs. 150 more than Rs. 5500.
VAT refers to value-added tax, a flat consumption tax levied on goods and services. It is most commonly charged in the countries of the EU. VAT is calculated by multiplying the percentage given by the original price.
VAT amount = percentage × original price
= 13% × 5000
= Rs. 650
We must add the VAT amount to the original amount to get the total price.
= 5000 + 650
= Rs. 5650
The difference in Rs. 5000, including 13% VAT from Rs. 5500, can be found by subtracting the lower amount from the larger amount.
= 5650-5500
= Rs. 150
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solve for x multiple choice
Answer:
12
Step-by-step explanation:
Using the side splitter theorem, [tex]\frac{x}{32}=\frac{9}{24} \implies x=12[/tex].
help please! will give brainlest
Answer: 20°
Step-by-step explanation:
The sum of all the interior angles of a triangle is 180°
So to find the missing angle you just need to subtract 25° and 135° from 180°, which equals 20°
