The coordinates of point T' after Ry-axis is (2, 5) and the coordinates of point T' after Rx-axis is (-2, -5). The solution has been obtained by using the concept of reflection.
What is reflection?
In geometry, a reflection is referred to as a flip. In a reflection, the shape is reflected. An image will reflect over a line known as the line of reflection.
We are given a point T(-2, 5)
In order to find the coordinates of the reflection of point in the y-axis, we need to change the sign of abscissa i.e., x-coordinate and retain the ordinate i.e., y-coordinate.
So, we get the image of (-2 , 5) as (2, 5)
Thus, the coordinates of point T' after Ry-axis is (2, 5).
When we reflect across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse.
So, we get the image of (-2 , 5) as (-2, -5).
Thus, the coordinates of point T' after Rx-axis is (-2, -5).
Hence, the coordinates of point T' after Ry-axis is (2, 5) and the coordinates of point T' after Rx-axis is (-2, -5).
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Someone help quick please
Y=5+3x for x
For the equation Y=5+3x the solution for x is (y-5)/3=x.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is Y=5+3x
y equal to five plus three times of x
In the given equation x and y are the variables.
We have to solve for variable x.
Subtract 5 from both the sides
y-5=3x
Divide both sides by 3
(y-5)/3=x
Hence, for the equation Y=5+3x the solution for x is (y-5)/3=x.
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consider the expression 1/2x2 +x+7 complete 2 descriptions of the parts of the exprssion
The description of the parts of the expression are:
The coefficient of x² is 1/2.
The coefficient of x is 1.
The constant is 7.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
(1/2)x² + x + 7
Now,
The coefficient of x² is 1/2.
The coefficient of x is 1.
The constant is 7.
Thus,
The description of the expression is given above.
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Answer:
The description of the parts of the expression are:The coefficient of x² is 1/2.The coefficient of x is 1.The constant is 7.What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.Example: 2 + 3x + 4y = 7 is an expression.We have,(1/2)x² + x + 7Now,The coefficient of x² is 1/2.The coefficient of x is 1.The constant is 7.Thus,The description of the expression is given above.Learn more about expressions here:brainly.com/question/3118662#SPJ1The description of the parts of the expression are:The coefficient of x² is 1/2.The coefficient of x is 1.The constant is 7.What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.Example: 2 + 3x + 4y = 7 is an expression.We have,(1/2)x² + x + 7Now,The coefficient of x² is 1/2.The coefficient of x is 1.The constant is 7.Thus,The description of the expression is given above.Learn more about expressions here:brainly.com/question/3118662#SPJ1
Step-by-step explanation:
1 whole number 1/16 to decimal 50 points pls full solution
Answer:
Below
Step-by-step explanation:
1/16 is 1 ÷ 16 use calculator to find = .0625
Answer:
1.06
Step-by-step explanation:
Step 1: divide numerator (1) by the denominator (16):
1 ÷ 16 = 0.0625
Step 2: add this value to the integer part:
1 + 0.0625 = 1.0625. So,
1 1/16 = 1.0625
How many gallons of a 34% sugar solution do we need to mix with 96 gallons of a 10% sugar solution so that the resulting mixture is an 18% sugar solution?
On solving the provided question, we can say that by percentage 9.6 gallons of a 34% sugar solution do we need to mix with 96 gallons of a 10% sugar solution
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
by percentage
mix with 96 gallons of a 10% sugar solution
the resulting mixture is an 18%
10/100 X 96 = 9.6
9.6 gallons of a 34% sugar solution do we need to mix with 96 gallons of a 10% sugar solution
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1. Find Sn for the arithmetic series where a1= 3 , an= 42 , n= 14
2. Find sn for the arithmetic series where a1= −20 , n= 25 , an= 148
3. Find sn for the arithmetic series where a1=5 , d=1/2 , n=13
The value of the sum of the series is are 315, 1600 and 104
How to determine the sum of the seriesIn an arithmetic series, the sum of the first "n" terms (Sn) is given by the formula:
Sn = n/2 * (a1 + an)
Where "a1" is the first term and "an" is the nth term.
For the first series, we have
In this series, a1= 3 , an= 42 , n= 14
Plugging these values into the formula, we get:
Sn = 14/2 * (3 + 42)
Sn = 315
For the second series, we have
In this series, a1= −20 , n= 25 , an= 148
Plugging these values into the formula, we get:
Sn = 25/2 * (-20 + 148)
Sn = 1600
For the third series, we have
In this series, a1=5 , d=1/2 , n=13
So, we have
an = a + (n - 1)d = 5 + 12 * 1/2 = 11
Plugging these values into the formula, we get:
Sn = 13/2 * (5 + 11)
Sn = 104
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Figure A is a scale image of Figure B, as shown.
1³/
Figure A
Figure B
The scale that maps Figure A onto Figure B is 1 : 71
Enter the value of z.
Therefore , the solution of the given problem of linear equation comes out to be x = 21.75.
A linear equation is precisely what?A linear regression curve is built on the equation y=mx+b. The y-intercept is m, and the slope is B. The previous sentence is sometimes referred as a "mathematical equation merging multiple variables," even if y or y are independent parts. The only variables in bivariate linear equations are two. There are no known solutions to application issues involving linear equations. Y=mx+b, also written as mx+b, is the expression for a straightforward system of equations.
Here,
Given :
From a mixed number, you must convert it to a decimal number. You can do this by following the instructions below:
In order to start, you must reduce the fraction's denominator by its numerator.
Step 2: You must now multiply the resulting quotient by the whole number component.
You therefore obtain:
=> 7 1/4 = 7 + 0.25 = 7.25
The scale picture that transforms "Figure a" into "Figure b" is then: 1: 71
The specified length of the appropriate side of "Shape a" must then be multiplied by in order to determine the value of "z."
The outcome is as follows:
=>x = (3)(7.25)
=> x = 21.75
Therefore , the solution of the given problem of linear equation comes out to be x = 21.75.
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The complete question is "Figure a is a scale image of figure b the scale that maps figure a onto figure b is 1:7 1/4 enter the value of x
Both figures are triangles
Figure a is smaller than figure b
Figure a to the right has a 3
Figure b to the right has a x"
Is j = 1 a solution to the inequality below? 4 > j
Answer:
yes
Step-by-step explanation:
4 > j ( substitute j = 1 )
4 > 1 ← is a true statement
so j = 1 is a solution to the inequality
Given the function
f
(
x
)
=
{
9
x
−
4
x
<
0
9
x
−
8
x
≥
0
The value of function at f(-1) = -13,
f(0) = -8 and f(2) = 10.
What is a linear equation?Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.
Both linear equations with one variable and those with two variables exist.
Given equations,
f(x) = 9x - 4 where x < 0
f(x) = 9x - 8 where x ≥ 0
to find f(-1),
substitute value in equation f(x) = 9x - 4 where x < 0
f(x) = 9x - 4
f(-1) = 9(-1) - 4
f(-1) = -13
now f(0) and f(2), substitute in equation f(x) = 9x - 8 where x ≥ 0
f(x) = 9x - 8
f(0) = 9(0) - 8
f(0) = -8
f(2) = 9(2) - 8
f(2) = 10
Hence f(-1) = -13,
f(0) = -8 and f(2) = 10.
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The manager of a store that specializes in selling tea decides to experiment with a new blend. She will mix some Earl Grey tea that sells for $6 per pound with some Orange Pekoe tea that sells for $4 per pound to get 200 pounds of the new blend. The selling price of the new blend is to be $5.50 per pound, and there is to be no difference in revenue from selling the new blend versus selling the other types. How many pounds of the Earl Grey tea and Orange Pekoe tea are required?
The amount of Earl Grey tea to mix is 225 pounds.
The amount of Orange Pekoe tea to mix is 75 pounds.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let x be the amount of Earl Grey tea to mix.
So, the amount of Orange Pekoe tea to mix = 300-x
then, 6x+4 (300-x) = 5.5 x 300
6x+1200-4x=1650
2x=450
x=225
and, amount of Orange Pekoe tea to mix = 300-225=75
Thus, the amount of Earl Grey tea to mix = 225 pounds
and, the amount of Orange Pekoe tea to mix=75 pounds.
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When throwing two fair six sided dice, what is the probability that the sum of the values on the two dice is 11?
Answer:
2/36
Step-by-step explanation:
there are a total of 36 possible rolls
and the only to ways to get an 11 on two fair six-sided dice is when it is (5,6) or (6,5)
the team to win 3 games wins the playoffs. what is the probability of a team winning a 5 game playoff if it has 50% chance of winning each game
Therefore , the solution of the given problem of probability comes out to be probability of winning a 3 game out of 5 is 0.5 .
What specifically does the probability method entail?Calculating the likelihood that a statement is true or that an event will take place is the focus of probability theory, a branch of mathematics. Any quantity between 0 and 1, whereby 1 frequently represents certainty range 1 and 0 normally denotes possibility, can be used to represent chance. A probability diagram illustrates the likelihood that a particular event will take place.
Here,
Given :
Since,
the probability to win a game is 50% .
So they have to win 3 games ,
and so , the probability to win the game is:
=> 1/2 * 1
=> 0.5
thus,
probability of winning a 3 game out of 5 :
=> 0.5
Therefore , the solution of the given problem of probability comes out to be probability of winning a 3 game out of 5 is 0.5 .
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Consider the following system of linear inequalities and corresponding graph:
y ≥ 2x - 4
x > -3
y < 5
Which of the following points is a solution to this system of linear inequalities?
A point that is a solution to this system of linear inequalities is (0, 1).
How to determine the point that is a solutionFrom the question, we have the following parameters that can be used in our computation:
y ≥ 2x - 4
x > -3
y < 5
Using the point (0, 1)
To see why this is a solution, we need to check if it satisfies each of the inequalities:
y ≥ 2x - 4: 1 ≥ 2 * 0 - 4, which is truex > -3: 0 > -3, which is truey < 5: 1 < 5, which is trueSince the point (0, 1) satisfies all of the inequalities, it is a solution to the system of linear inequalities.
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Evaluate the function find h (6) if h (x) = 2x + 1
Answer:
h(6) = 13
Step-by-step explanation:
Functions! One of my favorites to answer :)
h(x) = 2x + 1
So, now we plug in h(6). Remember that when we replace the x with the number, we replace it in the right side of the equation as well:
h(6) = 2(6) + 1
Now we multiply 2 * 6:
h(6) = 12 + 1
Now 12 + 1:
h(6) = 13, final answer.
Hope this helps :D
Answer: 13
Step-by-step explanation:
h(x) = 2(x) + 1
h(6) = 2(6) + 1 = 12 + 1 = 13
Find the mean for the number of hours of sleep: 6 7 5 8 6 7 6 8
66
6.7
7
6.625
66.25
The mean of the numbers is 22.625
How to find the mean?The average of all the data in a set. The arithmetic mean is the simplest and most widely used measure of a mean, or average. It simply involves taking the sum of a group of numbers, then dividing that sum by the count of the numbers used in the series.
The mean or average of the set of the data is calculated thus
(6+7+5+8+6+7+6+8)/8
181/8 = 22.625
Therefore, the mean for the number of hours of sleep: 6 7 5 8 6 7 6 8 is 22.625
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What is the surface area of the right rectangular prism? 125 m 2 75 m 2 250 m 2 200 m 2
The surface area of a right rectangular prism is 250 m².
Option C is the correct answer.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
From the figure,
Width = w = 5 m
Height = h = 5 m
Length = l = 10 m
The surface area of a right rectangular prism.
= 2 (lw + lh + wh)
= 2 (10 x 5 + 10 x 5 + 5 x 5)
= 2 (50 + 50 + 25)
= 2 (125)
= 2 x 125
= 250 m²
Thus,
250 m² is the surface area of a right rectangular prism.
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Answer:
250m 2
I hope this helps <3
if you invest $550 at a 4% interest rate will be the interest
Answer:
22
Step-by-step explanation:
550x4%=550x0.04=22
Answer:
$22
Step-by-step explanation:
550 x 4% = 550 x 0.04 = $22
PLS HELP THIS IS DUE TODAY
1. PM:MQ and KM:ML (Given)
2. KM/MQ = PM/ML (Property of cross multiplication)
3. ∠ PMK = ∠ LMQ (vertical angles are congruent)
4. ΔPMK ~ ΔLMQ (SAS~)
What are similar triangles?Similar triangles are triangles that have the same shape, but their sizes may vary, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.
Given,
PM:MQ and KM:ML
To prove
ΔPMK ~ ΔLMQ
By the figure,
PM:MQ = KM:ML (Given)
Cross multiplying
KM/MQ = PM/ML
∠ PMK = ∠ LMQ (vertical angles)
Using Side - Angle - Side theorem
ΔPMK ~ ΔLMQ
Hence,
1. PM:MQ = KM:ML , since its given
2. KM/MQ = PM/ML using cross multiplication
3. ∠ PMK = ∠ LMQ both are vertical angles
4. ΔPMK ~ ΔLMQ using side-angle-side theorem of similarity
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PLEASE HELP!! ILL GIVE BRAINLIEST!!!
The area enclosed by the track is 7,530.64 m².
What are the circumference and diameter of a circle?The circumference of a circle is the distance around the circle which is 2πr.
The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.
We know, The area of a circle is πr² and the area of a rectangle is (length×width).
By observing the diagram the total area enclosed by the track is the
sum of the area of a rectangle having a length of 104m and a complete circle having a diameter(2r) of 52 m and the diameter is equal to the width of the rectangle.
Therefore, The area of the track is,
= (104×52) + π(26)².
= 5408 + 2,122.64 m².
= 7,530.64 m².
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evaluate the following 2x²+3x+4 if x=1
(x+y) (x+y) if x=2 and y=2
5x² +2x if x=2 and y=5
(x+y)³ if x=7 and y=3
The value of the expressions will be:
2x² + 3x + 4, when x=1 is equal to 9.
(x+y)², when x=2 and y=2 is equal to 16.
5x² + 2x, when x=2 is equal to 24.
(x+y)³, when x=7 and y=3 is equal to 1000.
How to calculate the expression2x² + 3x + 4, when x=1 is:
= 2(1)² + 3 + 4
= 2 + 3 + 4
= 9.
(x+y)², when x=2 and y=2 is equal to:
= (2 + 2)²
= 4²
= 16.
5x² + 2x, when x=2 is equal to:
= 5(2)² + 2(2)
= 20 + 4
= 24.
(x+y)³, when x=7 and y=3 is equal to:
= (7 + 3)³
= 10³
= 1000.
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Good morning,
My name is Mr. Shine (I was given that name because I have the most sparkly diamonds in the
midwest). I am forwarding you the bill for your client Mr. Spendalot who stopped by my store Ice
Box last evening. I have exactly $1,000,000 in inventory of the best diamond rings, necklaces,
cuban chains, grilles, and watches. Now, I must make a profit on this inventory, so I markup all
inventory by 150% before selling it to my loyal customers.
Your client bought a whopping 31% of my entire inventory. He said my special was just too good
to pass up and he just had to buy more more more. What’s that special you ask?
Discounted Special:
Spend 100k+ and get 10% off
Spend 250k+ and get 20% off
Spend 500k+ and get 30% off
Spend 750k+ and get 40% off
Spend 1 million+ and get 50% off
After giving him this discount, I of course had to charge him an 8.5% sales tax on his purchase.
Yes I know, we all hate taxes, but that’s just the cost of doing business. Now your client Mr.
Spendalot is a very kind man and he agreed to give me and my staff a tip of 15%, how
generous of him! He told me to send you the details and you, his accountant, will calculate the
total. If you get this total right, he said he’s giving you the brand new Lamborghini he purchased
at the dealership next door to my store. Must be nice, hopefully you are good at your job!
Good Luck,
Mr. Shine
Answer:
The task is to calculate the total amount spent by Mr. Spendalot. To do this, you need to calculate the amount of inventory purchased, apply the discount, calculate the sales tax, and add the tip. Here's one way to do it:
Calculate the amount of inventory purchased: 31% of $1,000,000 is 31/100 * $1,000,000 = $310,000
Determine the discount: Based on the purchase amount of $310,000, Mr. Spendalot qualifies for a discount of 10%. So, the discount is $310,000 * 10% = $31,000.
Calculate the sales tax: 8.5% of the purchase amount after discount is 8.5/100 * ($310,000 - $31,000) = $2,067.50
Add the tip: 15% of the purchase amount after discount and sales tax is 15/100 * ($310,000 - $31,000 + $2,067.50) = $52,101.13
Calculate the total: The total amount spent by Mr. Spendalot is ($310,000 - $31,000 + $2,067.50 + $52,101.13) = $393,168.63.
So, the total amount spent by Mr. Spendalot is $393,168.63.
Step-by-step explanation:
Determine the amount of purchase before discount: Mr. Spendalot bought 31% of Mr. Shine's inventory, which is $1,000,000. Therefore, his purchase before discount is 31% of $1,000,000, or $310,000.
Calculate the discount: Based on the information in the discount table, Mr. Spendalot's purchase qualifies for a 40% discount. Therefore, the discount amount is $310,000 * 40%, or $124,000.
Determine the amount of purchase after discount: After getting the 40% discount, Mr. Spendalot's purchase is $310,000 - $124,000, or $186,000.
Calculate the sales tax: Mr. Shine charged an 8.5% sales tax on Mr. Spendalot's purchase after discount. Therefore, the sales tax amount is $186,000 * 8.5%, or $15,791.
Determine the tip: Mr. Spendalot gave Mr. Shine and his staff a 15% tip on his purchase after discount and sales tax. Therefore, the tip amount is $186,000 + $15,791 * 15%, or $31,328.
Calculate the total cost: Adding up the purchase after discount, sales tax, and tip, we get the total cost of $186,000 + $15,791 + $31,328, or $233,119.
Conclusion: Mr. Spendalot's total purchase cost is $233,119.
The task requires you to calculate the total amount spent by Mr. Spendalot at Mr. Shine's store Ice Box. Mr. Shine has an inventory worth $1,000,000 which he marks up by 150%. Mr. Spendalot bought 31% of this inventory, and was given a discount based on the amount he spent:
Spend 100k+ and get 10% off
Spend 250k+ and get 20% off
Spend 500k+ and get 30% off
Spend 750k+ and get 40% off
Spend 1 million+ and get 50% off
After the discount, Mr. Spendalot was charged 8.5% sales tax. He also left a 15% tip for Mr. Shine and his staff. Your goal is to calculate the total amount spent by Mr. Spendalot.
Help I don’t get this question
well, we can simply find how much for each tulip in each store.
store left has them for £9.8 for 4, that means 9.8 / 4 = 2.45, so £2.45 for each tulip.
store right had them for £4.2 each, but they went down by 1/3, so hmm a whole is 3/3 so if we take away 1/3 from 3/3, 3/3 - 1/3 = 2/3, so the new discounted price is really 2/3 of £4.2, that's (2/3) * 4.2 = 2.8, so £2.8 each.
so store left has them cheaper, doesn't matter at a dozen or less or more.
how much is it at store left for 12? 12 * 2.45 = 29.4, or £29.4.
10. A truck travelling at x km/h, where 30 ≤x≤ 120, uses gasoline at the rate of r(x) L/100 km, where r(x) = 1(4900 + x). If fuel costs $1.15/L, what speed will result in the lowest fuel cost for a trip of 200 km? What is the lowest total cost for the trip?
The required lowest cost for the trip of 200km is given as $657.1.
What is the rate of change?Rate of change is defined as the change in value with rest to the time is called rate of change.
Here,
A truck travelling at x km/h, where 30 ≤x≤ 120, uses gasoline at the rate of r(x) L/100 km, where r(x) = 1/400(4900/x + x)
Since,
For r(x) maximum, r(x) = 0
1/400(4900/x + x) = 0
4900 = x²
x = 70 km/hr
Now,
Cost of the fuel for 200km = 200 / r(70) × $1.15/L
= 200/(1/400× (4900/70 + 70)) × 1.15
= $657.1
Thus, the required lowest cost for the trip of 200km is given as $657.1.
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which direction does the graph of the equation shown below open v^2-4x+4y-4=0
The graph of the equation x^2 - 4x + 4y - 4 = 0 is a circle, so it doesn't have a direction of opening.
How to detemrine the directionFrom the question, we have the following parameters that can be used in our computation:
x^2 - 4x + 4y - 4 = 0
The equation x^2 - 4x + 4y - 4 = 0 is of a conic section
i.e. the equation of a circle
The equation of a circle does not have a particular direction it opens to
Hence, it is a closed shape
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If the terminal side of angle θ goes through the point (8/17,−15/17) on the unit circle, then what is cos(θ)?
The cosine of the angle θ is 8/17 whose terminal side passes through the given point
What are trigonometric functions?In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent
Given here: The terminal side goes through the point (8/17, -15/17)
Thus we have cosθ =8/17 and sin θ =-15/17
now tan θ =sinθ /cosθ
tanθ = -15/8
θ = -61.9275
Hence, cosθ =8/17
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Which of the following gives all the
prime numbers between 0 and 7?
kirans mother gets a restuarant bill for 25$ she has a coupon for 15% off what is the amount after the discount is applied
The amount after the discount is applied would be $21.25.
What is the percentage?
The percentage is defined as a ratio expressed as a fraction of 100.
As per the question, the given data as:
Bill amount = 25$
Coupon for 15% off
The amount after the discount can be calculated as:
⇒ 25$ - 15% of 25$
15% is expressed as 15/100 in fractional form
⇒ 25 - (15/100)(25)
15/100 is expressed as 0.15 in decimal form
⇒ 25 - (0.15)(25)
⇒ 25 - 3.75
⇒ 21.25
Thus, the final amount would be $21.25.
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solve the following inequalities sketch a number line - (x + 5 +) greater than 2 (1 - x)
When graphed, a linear equation always produces a straight line since each element in the equation has an exponent of 1.
What are examples of linear equations?Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y).
What three types of linear equations are there?The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.
Given, 3x−2<2x+1
⇒3x−2x<1+2
⇒x<3 or x∈(−∞,3)
At x=3, the lines y=3x-2 and y=2x+1 will both intersect.
The dark line unmistakably depicts the 3x-2<2x+1 solution.
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There are 45
students in the University Travel Club. The following information and Venn diagram show how many students traveled to Germany, France, and Spain. How many students have been to Germany or Spain but not France?
20
members have visited Germany
20
have been to Spain
19
have visited France
10
have been to Germany and France
4
have only been to Germany
6
have only been to France
3
have been to only Spain and France
3
have been to all three countries
Some of the members have not been to any of the three
The number of students that have been to Germany or Spain but not France is given as follows:
18.
How to obtain the amounts?The amounts are obtained considering the Venn diagram in the problem.
For the 20 students that went to Spain, we have that:
x went only to Spain.3 have gone to Spain and France.3 have gone to Spain, Germany and France.6 have gone to Spain and Germany.Hence the value of x is obtained as follows:
x + 3 + 3 + 6 = 20
x + 12 = 20
x = 8.
The number of people who have gone to Spain or Germany but not France is given as follows:
6 + 4 + 10 = 18.
(or means at least one of Spain or Germany).
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ASSIGNMENT
1. Suppose the demand function for a product is given
by: Qa = 500 - 5P, compute the:
(a) quantity demanded at the unit price of Ghé 10
(b) price to sell 200 units
(c) price for zero demand
(d) quantity demanded at zero price
(e) the own-price elasticity of demand at the price for
which 200 units are sold.
The value of quantity demanded at unit price Gh¢10 is 450 units. b. The price to sell 200 units is Gh¢60. c. The price for 0 demand is Gh¢100. d. The quantity demanded at zero price is 500 units.
What is demand function?The link between the quantity demanded for a commodity (the dependent variable) and its price is represented by the demand function (independent variable).
a) At the price of Gh¢10 , then
Qd= 500 - 5P
Qd= 500 -5(10)
Qd= 500-50 = 450 units
The value of quantity demanded at unit price Gh¢10 is 450 units.
b) If there are 200 units,then
Qd= 500- 5P
200 = 500-5P
5P = 500-200
P= 300/5
P= Gh¢60
The price to sell 200 units is Gh¢60
c) if demand is zero, it mens Qd= 0
Qd= 500- 5P
0= 500-5P
5P= 500
P= Gh¢100
The price for 0 demand is Gh¢100.
d) If P= 0, then
Qd= 500-5P
Qd= 500-5(0)
Qd= 500 units
The quantity demanded at zero price is 500 units.
Hence, the value of quantity demanded at unit price Gh¢10 is 450 units. b. The price to sell 200 units is Gh¢60. c. The price for 0 demand is Gh¢100. d. The quantity demanded at zero price is 500 units.
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I need a real answer with solution please help.
Answer:
A and D
Step-by-step explanation:
Given the function:
[tex]\displaystyle{f(x)=\sqrt{5-x^2}}[/tex]
In order to find the first-order derivative of square root function, we have to convert the form of surd to exponent form. Therefore:
[tex]\displaystyle{f(x)=\left(5-x^2\right)^{\frac{1}{2}}}[/tex]
Since the exponent is a constant and that the base is an expression with variable, we can apply the chain rule (power rule variation):
[tex]\displaystyle{f(x) = u^n \to f'(x) = nu^{n-1} \cdot \dfrac{du}{dx}}[/tex]
Therefore:
[tex]\displaystyle{f'(x)=\dfrac{1}{2}\left(5-x^2\right)^{\frac{1}{2}-1} \cdot \dfrac{d}{dx}\left(5-x^2\right)}\\\\\displaystyle{f'(x)=\dfrac{1}{2}\left(5-x^2\right)^{\frac{1}{2}-\frac{2}{2}} \cdot \dfrac{d}{dx}\left(5-x^2\right)}\\\\\displaystyle{f'(x)=\dfrac{1}{2}\left(5-x^2\right)^{-\frac{1}{2}} \cdot \dfrac{d}{dx}\left(5-x^2\right)}[/tex]
Deriving 5 - x²:
[tex]\displaystyle{\dfrac{d}{dx}\left(5-x^2\right) = 0 - 2x^{2-1}}\\\\\displaystyle{\dfrac{d}{dx}\left(5-x^2\right) = -2x}[/tex]
Thus:
[tex]\displaystyle{f'(x)=\dfrac{1}{2}\left(5-x^2\right)^{-\frac{1}{2}} \cdot (-2x)}\\\\\displaystyle{f'(x)=\dfrac{1}{2}(-2x)\left(5-x^2\right)^{-\frac{1}{2}} }\\\\\displaystyle{f'(x)=-x\left(5-x^2\right)^{-\frac{1}{2}} }[/tex]
You can also convert to the square root form of:
[tex]\displaystyle{f'(x)= \dfrac{-x}{\sqrt{5-x^2}}}[/tex]
Therefore, A and D are correct.