To satisfy the given solution set, the absolute value equation in the form x−c=d would be x−(-1/2)=1/2 and x−(1/2)=1/2.
The given solution set consists of two values for x: -1/2 and 1/2. To write the corresponding absolute value equations in the form x−c=d, we need to determine the values of c and d.
For the first solution, x = -1/2, the equation x−c=d becomes -1/2 − c = 1/2. By rearranging the equation, we can isolate c: c = -1/2 − 1/2 = -1.
Thus, the absolute value equation for the first solution is x−(-1)=1/2.
For the second solution, x = 1/2, the equation x−c=d becomes 1/2 − c = 1/2. Similarly, we isolate c: c = 1/2 − 1/2 = 0.
Therefore, the absolute value equation for the second solution is x−(0)=1/2.
In summary, the absolute value equations in the form x−c=d that satisfy the given solution set are x−(-1)=1/2 and x−(0)=1/2.
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hi please help 10 Points
Percentage for lakeside is 38%
Percentage for Jungle is 26%
Percentage for Desert is 18%
Percentage for Coast is 12%
Percentage for Prairie is 6%
How to determine the percentageTo determine the percentage, divide the given value by the total number and multiply by 100
Total = 24000
Percentage for lakeside = [tex]\frac{9120}{24000}[/tex] × 100
% of lakeside = [tex]0. 38[/tex] × 100 = 38%
Percentage for Jungle = [tex]\frac{6240}{24000}[/tex] × 100
% of Jungle = [tex]0. 26[/tex] × 100 = 26%
Percentage for Desert = [tex]\frac{4320}{24000}[/tex] × 100
% of Desert = [tex]0. 18[/tex] × 100 = 18%
Percentage for Coast = [tex]\frac{2880}{24000}[/tex] × 100
% of coast = [tex]0. 12[/tex] × 100 = 12%
Percentage for Prairie = [tex]\frac{1440}{24000}[/tex] × 100
% of Prairie = [tex]0. 06[/tex] × 100 = 6%
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The inequality x < 9 or x ≥ 14 can be used to represent the hourly wage, x, of each employee at a store. Which are possible values for x? Select two options.
Based on the given inequality; x < 9 or x ≥ 14, the possible values of x are $8 and $14
Inequalityx < 9 or x ≥ 14
This means x less than 9 or greater or equal to 14From the options
All values less than 9 are
$8
All values greater than or equal to 14 are
$14
Therefore, based on the options given, the possible values of x are $8 and $14
Complete question:
The inequality x < 9 or x ≥ 14 can be used to represent the hourly wage, x, of each employee at a store. Which are possible values for x? Check all that apply. $8 $9 $11 $13 $14 $15
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find the midpoint of (0, 4) and (2, -2)
Answer:
[tex]\text{Midpoint} = (1, \; 1)[/tex]
Step-by-step explanation:
[tex]M = (x_M, \; y_M)[/tex]
[tex]M = \left(\dfrac{x_1 + x_2}{2}, \; \dfrac{y_1 + y_2}{2}\right)[/tex]
[tex]M = \left(\dfrac{0 + 2}{2}, \; \dfrac{4 + -2}{2}\right)[/tex]
[tex]M = \left(\dfrac{2}{2}, \; \dfrac{2}{2}\right)[/tex]
[tex]M = (1, \; 1)[/tex]
Answer: (1, 1)
Step by Step Explanation:
The midpoint formula is (x + x/2 , y + y/2)
If you plug in the coordinates it looks like this
( 0 + 2/2 , 4 + (-2)/2)
That turns into this:
(2/2 , 2/2)
Which gives you the final answer of (1, 1)
A teacher wants to know whether their course helps students on the SAT. The hypothesized population mean for SAT scores is 500. The standard deviation of the population is 77. The sample size is 100. The sample mean for students who took the course is 533. What is the z-score
The z-score is -0.428
What is a z-score?A z-score, also known as a standard score, provides information on how far a data point is from the mean. Technically speaking, however, it's a measurement of how many standard deviations a raw score is from or above the population mean.
You can plot a z-score on a normal distribution curve.
You must be aware of the mean and population standard deviation to use a z-score.
Z-scores allow results to be compared to a "normal" population.
According to the question,
x=500
μ=533
σ=77
z-score=(x-μ)/σ
On substituting the values,
z-score=(500-533)/77
= -0.428
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please help asap..... Write the equation of the circle in general form. Show all your work.
will mark brainiest if correct.
Answer:
(x + 3)^2 + (y - 2)^2 = 25 .
Step-by-step explanation:
The center is at (-3, 2) and the radius is 5.
General form is
(x - h)^2 + (y - k)^2 = r^2
So here we have:
(x - (-3)^2 + (y - 2)^2 = 5^2
(x + 3)^2 + (y - 2)^2 = 25
Can someone help me out? Pls it’s urgent!!! ASAP! (Geometry)
“Complete the proof”
1) [tex]\overline{WX} \cong \overline{UY}[/tex], [tex]\angle YXZ \cong \angle XYZ[/tex] (given)
2) [tex]\overline{XY} \perp \overline{XY}[/tex] (reflexive property)
3) [tex]\triangle WXY \cong \triangle UYX[/tex] (SAS)
4) [tex]\overline{WY} \perp\overline{ UX}[/tex] (CPCTC)
2. According to Archimedes, the area of any circle is equal to the area of a right triangle in which one of the sides about the right angle is equal to the radius, and the other to the circumference of the circle. Verify this formula for yourself using the formula for the circumference of a circle.
Formula [tex]\text { area }=1 / 2 \times \text { base } \times \text { height }=1 / 2 \times 2 \pi r \times r=\pi r^{2}[/tex] for the circumference of a circle.
How did Archimedes find the circumference of a circle?Archimedes stated in his Proposition that the area of a circle is equal to the area of a triangle with a base equal to the circumference and a height equal to the radius: (1/2)(r · 2πr) = πr2. Archimedes arrived at his approximation of the circumference of the circle by increasing the number of sides of the hexagon. Archimedes claimed that the area of any circle is equal to the area of a right triangle, where the radius of the circle is represented by one side and the circumference by the other.
Archimedes demonstrated using a similar method that the area of a circle of diameter D is equal to the area of a right-angled triangle with one side equal to the radius and the other to the circumference of the circle on the right angle.
Formula for the circumference of a circle:
A circle's area is equal to pi times the radius squared (A = r2). Discover how to apply this formula to determine a circle's area given its diameter.
The circumference is diameter x pi, or 2 x radius x pi.
[tex]\text { area }=1 / 2 \times \text { base } \times \text { height }=1 / 2 \times 2 \pi r \times r=\pi r^{2}[/tex].
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What is the PERT weighted average based on an optimistic estimate of six days, a most likely estimate of eight days, and a pessimistic time of sixteen days
the PERT weighted average is 9 days
What is PERT weighted average?
PERT can be defined as an estimating technique that uses a weighted average of three numbers to get a final estimate.
The formula for finding the PERT weighted average is given as;
PERT weighted average = (Optimistic + (4 X Most Likely) + Pessimistic)/6
We have;
Optimistic = 6 daysMost likely = 8 daysPessimistic = 16 daysSubstitute the values into the formula
PERT weighted average = [tex]\frac{6 + 4(8) + 16 }{6}[/tex]
PERT weighted average = [tex]\frac{54}{6}[/tex]
PERT weighted average = 9 days
Thus, the PERT weighted average is 9 days
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A cross section is made by the intersection of a plane and a square pyramid at an angle either parallel or perpendicular to the base. the cross section can be which of these shapes? select three options.
A cross-section is made by the intersection of a plane and a square pyramid at an angle either parallel or perpendicular to the base square, triangle, and, trapezoid.
What is an area of cross-section?A cross-section parallel to the base will be a square.
One perpendicular to the base will be a trapezoid, or if it passes through the vertex of the pyramid, a triangle.
The cross-section of the pyramid is perpendicular to the base and through the vertex will be a triangle.The cross-section has the same shape but it has a smaller base.The cross-section perpendicular to the triangular bottom then it will be a trapezoid.Hence, a cross-section is made by the intersection of a plane and a square pyramid at an angle either parallel or perpendicular to the base square, triangle, and, trapezoid.
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Fill in the blank: In data analytics, a _____ refers to all possible data values in a certain dataset
In data analytics, a population refers to all possible data values in a certain dataset
Data analysis is a systematic computer-aided analysis of data or statistics. [1] It is used to discover, interpret, and convey meaningful patterns in the data. It also includes applying data patterns for effective decision-making.
It may be useful in areas where there is a lot of recorded information. The analysis relies on the simultaneous application of statistics, computer programming, and operations research to quantify performance.
Organizations can apply analytics to business data to describe, predict, and improve business performance. Areas within the analysis include descriptive analysis, diagnostic analysis, predictive analysis, prescriptive analysis, and cognitive analysis in particular. [2] Analysis can be applied in various fields such as marketing, management, finance, online systems, information security, and software services.
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A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 29 ft long and 20 ft wide.
Find the area of the garden. Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
15.7 square feet
Step-by-step explanation:
To find the area of the garden we find the area of the rectangle and the area of the semicircle.
The area of the rectangle:
A=bh
A=(29)(20)
A=580ft^2
As shown in the picture, the width of the rectangle is 20 ft wide, which means that the diameter of the semicircle is also 20ft wide. The diameter is two times the radius, which means the radius of the semicircle is 10ft.
The area of a circle is represented by the equation: [tex]A=\pi r^{2}[/tex]
A semicircle is half of a circle, therefore the equation to find the area of a semicircle is: [tex]A=\frac{1}{2}\pi r^{2}[/tex]
Plugging our radius of 10ft in we get:
[tex]A=\frac{1}{2}\pi (10)\\ A=5\pi[/tex]
We use 3.14 for our value of [tex]\pi[/tex] to get:
[tex]A=5(3.14)\\A=15.7ft^{2}[/tex]
Therefore, the area of the rose garden is 15.7 square feet.
jeri is three years younger than laura, whose age is x. How old is jeri?
Answer:
x-3
Step-by-step explanation:
Laura's age goes first. You don't know what it is, so you have to leave it as x. You know Jeri is 3 years younger, so you subtract from x.
Solve the triangle. Round your answers to the nearest tenth.
The missing information of the triangle is C = 63°, b ≈ 28.084 and c ≈ 25.084. (Correct choice: C)
How to determine the missing sides and angles
In this question we have a triangle with a known side lengths and two known angle measures. First, we find the missing angle by Euclidean geometry:
C = 180° - 94° - 23°
C = 63°
Lastly, we determine the missing sides by law of sines:
[tex]b = 11 \times \frac{\sin 94^{\circ}}{\sin 23^{\circ}}[/tex]
b ≈ 28.084
[tex]c = 11 \times \frac{\sin 63^{\circ}}{\sin 23^{\circ}}[/tex]
c ≈ 25.084
The missing information of the triangle is C = 63°, b ≈ 28.084 and c ≈ 25.084. (Correct choice: C)
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What is the denominator of the simplified expression? (startfraction 2 n over 6 n + 4 endfraction) (startfraction 3 n + 2 over 3 n minus 2 endfraction) 2 n 3n+2 3n-2
n/3n - 2.
The denominator of the given simplified expression is
The given expression is ( 2n/6n + 4 ) ( 3n + 2/ 3n - 2 )
To find the denominator of the simplified expression :
First, simplify the given expression as below ;
( 2n/6n + 4 ) ( 3n + 2/ 3n - 2 )
( 2n/2₍₃ₙ ₊ ₂₎ ( 3n + 2/ 3n - 2 ) ( here by taking the common term 2 outside the factor )
= (n/1) ( 1/ 3n - 2 ) ( here by simplifying the factors )
= n/3n - 2.
Therefore, ( 2n/6n + 4 ) ( 3n + 2/ 3n - 2 ) = n/3n - 2
Therefore the result of the given simplified expression is = n/3n - 2.
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The manager of a food store noted that for every 20 persons who visit the store, they sell 6 burgers at $2.35 each, 8 aerated drinks at $1.60 each, and 4 pack of fries at $ 2.00 each. To the nearest cent, what is the average (arithmetic mean) amount of sales per person who comes in?
which tree diagram shows all the possible outcomes for 2 coin flips?
Answer:
c
Step-by-step explanation:
im smart like that
Ahmad has containers of two different sizes. The total capacity of 16 containers of one size is x gallons, and the total capacity of 8 containers of the other size is also x gallons, and . In terms of x, what is the capacity, in gallons, of each of the larger containers?
Answer:
x/8 gallons.
Step-by-step explanation:
The 8 containers have the larger capacity as the 2 totals are x and the other containers are 16 in total.
Capacity of each of the large containers = x/8 gallons.
Please answer quick and now
Answer:
[tex]140in {}^{3} [/tex]
Step-by-step explanation:
Substituting values of B and h into the Formular.
[tex]v = \frac{bh}{3} \\ v = \frac{15 \times 28}{3} = 140in {}^{3} [/tex]
TIME REMAINING
01:38:18
The function rule T–4, 6(x, y) could be used to describe which translation?
a parallelogram on a coordinate plane that is translated 4 units down and 6 units to the right
a trapezoid on a coordinate plane that is translated 4 units to the left and 6 units up
a rhombus on a coordinate plane that is translated 4 units down and 6 units to the left
a rectangle on a coordinate plane that is translated 4 units to the right and 6 units up
The translation that represents T–4, 6(x, y) is (b) a trapezoid on a coordinate plane that is translated 4 units to the left and 6 units up
How to determine the translation?The translation rule is given as:
T–4, 6(x, y)
This can be rewritten as
T(x- 4, y + 6)
The above represents a translation 4 units left and 6 units up
Hence, the translation that represents T–4, 6(x, y) is (b) a trapezoid on a coordinate plane that is translated 4 units to the left and 6 units up
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Which one of these is not a step used when constructing an inscribed square using
technology? (5 points)
1) create a circle using the center with given point tool.
2) connect the point with a line through the center of the circle.
3) mark the points of intersection between the three circles.
4) create another circle with the same radius as the original.
The correct option is option () Connect the point with a line through the center of the circle.
According to the problem,
a round planar figure whose circumference is made up of points that are equally spaced from a fixed point (the centre).referring to a unit of measurement whose area is equal to a square whose side is the specified unit.A figure that is inscribed in a circle has vertices that are points on the circle. Learn how to draw equilateral triangles, squares, and regular hexagons that are inscribed in circles, as well as how to build figures in circles.So, the correct option is option ()Connect the point with a line through the center of the circle.
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I really need help with this question
Answer:
39
Step-by-step explanation:
I assume the father's age is a 2-digit number. He is not 9 years old or younger, and he is not 100 years old or older.
The sum of the digits of a two-digit number goes up by 1 from one number to the next unless the number ends in 9.
For example, from 17 to 18, the sum of the digits goes from 8 to 9.
If the number ends in 9, for example, 29, the digits add to 11. Then the next number is 30, and now the sum of the digits is 3, which is less than 11.
The father's age now is a number whose sum of digits is not only greater than the sum of the digits next year, but it is 3 times greater.
Let's look at 2-digit number and the next number and the sum of their digits.
19, 20; sums: 10, 2; 10/2 = 5, not 3
29, 30; sums: 11, 3; 11/3 ≠ 3
39, 40; sums: 12, 4; 12/4 = 3
Answer: The father is 39 years old.
Answer: 39 years
Step-by-step explanation:
The father says that adding both of the digits in his age will be 3 times greater than adding both digits one year later. Before we even start answering the problem, this tells us that the father's age has 2 digits in it.
Let's represent the 10's digit with x, and the 1's digit with y. If the father's age was 45, for example, x would be 4 and y would be 5.
Let's first make an equation to represent this situation:
The sum of the digits of the father's age would be represented by x + y, as x and y are the 10's digit and 1's digit respectively.
The father's age next year would be one greater than the current year, which makes y become y + 1. Then, the sum of the digits would be x + y + 1.
Now, we must make the first equation 3 times larger than the second and solve for the sum.
[tex]x + y = 3(x+y+1)\\ x+y=3(x+y)+3\\ 1(x+y)-3(x+y)=3\\ -2(x+y)=3\\ x+y=\frac{3}{-2}=-\frac{3}{2}[/tex]
However, we can neither have a fraction or a negative as a sum of two digits in an age, as digits are always positive integers from 0 to 9.
This flaw came from the assumption that after 1 year, the sum of the digits will be x + y + 1. This isn't always true, as any number with its 1's digit of 9 turns into 0 the next year, and not 10. Instead, the x value increases by 1.
For example, someone the age 69 becomes 70 the next year, x increases by 1 and y becomes 0.
Let's make a new equation to try and see this.
We know that his current age has to have y = 9 for his new age to be y = 0. Therefore, the current sum of digits is x + 9.
The next year, we know that the 10's place will increase by 1 and the 1's place becomes 0. Therefore the sum of digits is x + 1 + 0, or x + 1.
Since the current sum of digits is 3 times greater than the sum next year, let's multiply the second equation by 3 to get equality. We just need to calculate the 10's digit, as the 1's digit is already 9.
[tex]x+9 = 3(x+1)\\ x+9=3x+3\\ 9=2x+3\\ 6=2x\\ x=3[/tex]
Since the 10's digit (or x) is 3 and the 1's digit (or y) is 9, the father's age is 39, and he will turn 40 next year.
Jacob is cutting a tile in the shape of a parallelogram. Two opposite angles have measures of (6n − 70)° and (2n + 10)°.
What are the two different angle measures of the parallelogram-shaped tile?
20° and 160°
50° and 130°
30° and 150°
70° and 110°
A parallelogram is a quadrilateral in which opposite sides are equal, and the opposite angles sum up [tex]180^{o}[/tex]. Thus, the measures of the two different angles in the question are 70° and 110° i.e option D.
A parallelogram is a quadrilateral in which opposite sides are equal, and the opposite angles sum up [tex]180^{o}[/tex]. It has four straight sides and can be classified as a quadrilateral.
Thus from the given question, we have:
(6n − 70)° + (2n + 10)° = [tex]180^{o}[/tex]
8n - 60 = [tex]180^{o}[/tex]
8n = [tex]180^{o}[/tex] + 60
8n = 240
n = [tex]\frac{240}{8}[/tex]
= [tex]30^{o}[/tex]
n = [tex]30^{o}[/tex]
So that,
i. (6n − 70)° = (6[30] − 70)°
= 180 - 70
= [tex]110^{o}[/tex]
ii. (2n + 10)° = (2[30] + 10)°
= 60 + 10
= [tex]70^{o}[/tex]
Therefore, the measures of the two different angles are 70° and 110°. Option D.
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Answer:
b, 50° and 130°
Step-by-step explanation:
edge 2023 :)
^ that shi sucks btw we needa boycott the program or smt
You have a standard deck of 52 playing cards. you draw 2 cards without replacement. which action, performed before the draws, increases the probability of drawing 2 face cards in a row?
a. removing all of the black cards
b. removing all non-face cards
c. removing all kings
d. removing all of the red cards
Answer:
Bet $100 and remove all non-face cards.
Step-by-step explanation:
Each option may be answered on the basis of the ratio of face cards to non-face cards, which we'll say is R.
a. removing all of the black cards No. The vale of R does not change. R is the same for both black and red cards, so removing one color does not change R.
b. removing all non-face cards Yes. The only cards left are face cards. The odds of drawing 2 face cards in a row from this modified deck is 100%
c. removing all kings No. Face cards are being removed and will thus lower the probability of picking one.
d. removing all of the red cards No. Same reasoning as in (a.).
Very much appreciated!!!
Answer:
80
Step-by-step explanation:
The sum of the interior angles of a triangle is 180. Subtract out the 2 angles that you know.
180 - 70 - 30 = 80
Quick algebra 1 question for 50 points!
Only answer if you know the answer, quick shout-out to Yeony2022, tysm for the help!
See
The point D is
3 units left from origin
x coordinate=-31 units up from origin
y coordinate=1The point is
(-3,1)Direct variation
Multiply k=2
k(-3,1)2(-3,1)(-6,2)Option A
please im in a rush i need help
Answer:
28.5 ft²
Step-by-step explanation:
shaded area = area of triangle minus area of rectangle
shaded area = (1/2)bh - LW
base of triangle = 5 ft + 4 ft = 9 ft
height of triangle = 3 ft + 6 ft = 9 ft
shaded area = (1/2)(9 ft)(9 ft) - (4 ft)(3 ft)
shaded area = 40.5 ft² - 12 ft²
shaded area = 28.5 ft²
Graph the following exponential functions and determine the y-intercept, domain, range, and
asymptote of each function.
f(x)=5(2)^x
The graph of the exponential function f(x) = 5(2)ˣ is as shown in the attached file.
How to draw the graph of an exponential Function?We want to draw the graph of the exponential function;
f(x) = 5(2)ˣ
At input of x = 0, we have;
f(x) = 5(2)⁰ = 5
At input of x = 1, we have;
f(x) = 5(2)¹ = 10
At x = -1, we have;
f(x) = 5(2)⁻¹ = 2.5
At x = -2, we have;
f(x) = 5(2)⁻² = 1.25
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Directions: The soccer team at your school wants to spray paint a design on the middle of the
playing field. The design will include this soccer ball. You have been asked to enlarge the drawing of
this ball to use for the painting on the field. Using the Text Editor and information you learned in this
Unit, write a brief essay in which you explain how to accurately enlarge or reduce the size of objects
such as the soccer ball. Include the steps that should be taken in order to complete a project like this,
and use concepts discussed in this Unit to support your plan. For example, you may want to include
scale factor, proportions, dilations, and similarity.
The steps that can be used to increase the ball is:
Scale factor = [tex]\frac{Scale diagram}{Original}[/tex]
What is Scale Factor?This refers to the measure for similar figures that is used to show the scale through which a figure is bigger or smaller than another.
Hence, we can see that from the given image, one can increase the size of the ball by making use of the scale factor which measures the scale diagram and then divides it from the original and this would retain the dimension but would make it larger.
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CAN ANYONE HELP ME WITH QUESTION 6
Twenty-one is 25% of what number?
A. 5.25
B. 84
C. 10.5
D. 63
Answer: 84
Step-by-step explanation:
When substituting this question into an algebraic equation you can write it as:
21=.25x
(x clearly represents the number you are trying to find)
When you divide both sides by .25 to isolate x you get x=84