By considering the absolute values of the integers, 4, 3,07, and 2.971 may be derived as a simpler set of positive numbers for the equations.
The distance a number is from zero on the number line is its absolute value. Taking a number's absolute value allows you to convert it into a positive number because it is by definition always positive. Just disregarding the sign and focusing on the size of a number allows us to determine its absolute value. This rule may be applied to each of the supplied integers in this situation, giving rise to their absolute values, which are all positive. The set of real numbers that are greater than zero in mathematics is known as the set of positive real numbers, or displaystyle'mathbb 'R' '>0'='left'x'in'mathbb 'R"mid x>0'right'.
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PLEASE HELP ME & FAST !!!
The percentage of 65 out of 140 will be 46.428%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
[tex]\text{Percentage (P) = [Final value - Initial value] / Initial value x 100}[/tex]
The whole numbers are 65 and 140.
Then the percentage is written as,
[tex]P = (65 \div 140) \times 100[/tex]
[tex]P=0.46428 \times 100[/tex]
[tex]P=46.428\%[/tex]
The percentage of 65 out of 140 will be 46.428%.
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which of the following best describes the chord of a circle? a chord is any segment in which the end points are found on the arc of the circle. a chord is a triangle inside of a circle. a chord is the arc formed from the segment. a chord is a square inside of a circle.
The statement that best describes the chord of a circle is a chord is any segment in which the end points are found on the arc of the circle. (option a).
A chord of a circle is a line segment that connects two points on the circle. The two endpoints of the chord are called the endpoints of the chord, and they lie on the circumference of the circle.
Therefore, option (a) that states that a chord is any segment in which the endpoints are found on the arc of the circle is the correct answer.
It is important to note that a chord does not have to pass through the center of the circle. If a chord passes through the center of the circle, it is called a diameter. A diameter is the longest chord of a circle, and it divides the circle into two equal parts called semicircles.
The correct answer to the question is option (a), which states that a chord is any segment in which the endpoints are found on the arc of the circle.
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Complete Question:
which of the following best describes the chord of a circle?
a) a chord is any segment in which the endpoints are found on the arc of the circle.
b) a chord is a triangle inside of a circle.
c) a chord is the arc formed from the segment.
d) a chord is a square inside of a circle.
Fill in the blanks so the left side is a perfect square trinomial. That is, complete the square.
a. x^2+5/6x+___=(x+___)^2
b. x^2-11x+___=(x-__)^2
ANSWERS:
A ) x^2 + 5/6x + 25/144 = (x + 5/12)^2
B ) x^2 - 11x + 121/4 = (x - 11/2)^2
EXPLANATION:
a. To complete the square for the equation x^2 + 5/6x + ___,
first divide the coefficient of the linear term (5/6) by 2,
which gives you 5/12.
Then, square the result:
(5/12)^2 = 25/144.
So, the equation becomes:
x^2 + 5/6x + 25/144 = (x + 5/12)^2
b. To complete the square for the equation x^2 - 11x + ___,
first divide the coefficient of the linear term (-11) by 2,
which gives you -11/2.
Then, square the result:
(-11/2)^2 = 121/4.
So, the equation becomes:
x^2 - 11x + 121/4 = (x - 11/2)^2
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Enlarge shape A by scale factor 1. 5 with centre of enlargement (0, 0)
To enlarge Shape A by a scale factor of 1.5 with the center of enlargement (0, 0), we have to multiply every length by 1.5.
Enlargement of Shape A
Enlargement of a shape is when it is either stretched or shrunk in one or both directions. The original shape is called the pre-image, while the new shape is called the image. What is the centre of enlargement?
The center of an enlargement is the point about which all of the points of the pre-image are scaled to obtain the image. When the scale factor is greater than 1, the image of the pre-image is an enlargement. When the scale factor is between 0 and 1, the image of the pre-image is a reduction.In an enlargement, each point on the pre-image is mapped onto a corresponding point on the image along a straight line which goes through the centre of enlargement.
The new shape has a larger size than the original shape. To expand shape A by a scale factor of 1.5, you need to multiply each length by 1.5. You have to create new points. It's easy to use a scale ruler to make sure each length is multiplied by 1.5.
A Centre of enlargement is a point in the coordinate plane that enlarges or shrinks a figure by some scale factor. In the problem, the center of enlargement is (0, 0).
Thus, we have to extend every length of Shape A by 1.5, and our scale factor is 1.5. We get Shape B by doing so. Now, we can conclude that to enlarge Shape A by a scale factor of 1.5 with the center of enlargement (0, 0), we have to multiply every length by 1.5.
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Kenya is conducting a probability experiment with one number cube with numbers 1 through 6 on each face. She rolls the number cube, records the number on the side that is face up, and repeats the process.
If Kenya rolls the number cube 90 times, what is a reasonable prediction for the number of times that a 1 or a 6 will land face up?
Answer:
The number cube has 6 equally likely outcomes, so the probability of rolling a 1 or a 6 on any given roll is 2/6 = 1/3.
If Kenya rolls the number cube 90 times, we can use the expected value formula to find the expected number of times that a 1 or a 6 will land face up:
Expected number of 1's or 6's = (number of rolls) x (probability of rolling a 1 or a 6)
Expected number of 1's or 6's = 90 x (1/3)
Expected number of 1's or 6's = 30
Therefore, a reasonable prediction for the number of times that a 1 or a 6 will land face up is 30.
Shakita buys an apple tree and a cherry tree and measures them at the end of every
year for 5 years. After 1 year, the apple tree is 14 feet tall. After 5 years, it is 22 feet
tall. The cherry tree's height is represented by y = 3x + 8.
If both trees grew at a constant rate, which tree was taller when they were planted,
and which grew more quickly?
OA. The cherry tree was taller when the trees were planted, and it also grew
more quickly.
OB. The apple tree was taller when they were planted, but the cherry tree
grew more quickly.
OC. The cherry tree was taller when the trees were planted, but the apple tree
grew more quickly.
D. The apple tree was taller when the trees were planted, and it also grew
more quickly.
PRE
< PREVIOUS
2 of 2
Answer: B
Step-by-step explanation:
because I did it and it was right lol
four times the sum of a number and four is 136. translate into an equation and then solve for the number?
Answer: y-98
Step-by-step explanation:
a number is five times a smaller number. find the larger number of their difference is 52
The larger number if the difference of the numbers is 52 is 65.
How to find the larger number?A number is five times a smaller number. Let's find the larger number when their difference is 52.
Therefore,
let
x = smaller number
larger number = 5x
There difference is 52. Hence,
5x - x = 52
4x = 52
divide both sides of the equation by 4
x = 52 / 4
x = 13
Therefore,
larger number = 5(13) = 65
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An architect is designing a house. He wants the bedroom to have the dimensions of 10 ft by 6 ft by 7 ft. The architect doubles all three dimensions to create the den. Does that mean the den will have double the volume of the bedroom? First, find the volume of the bedroom. Solve on paper. Then check your work on Does doubling all three dimensions mean the den will have double the volume of the bedroom? Why or why not? Does doubling all three dimensions mean the den will have double the volume of the bedroom? No If he doubles all three dimensions, the den's volume will be more than double the volume of the bedroom.
Answer:
(2 x 10) x (2 x 6) x (2 x 7) = 3360ft³ <-- the den would be that
The volume:
10 x 6 x 7 = 420ft³ Volume = 8
3.- cual es la máxima distancia que pueden recorrer sin cambiar de dirección en una pista de patinaje en forma de rombo, si cada lado mide 26 mts y ka diagonal menor 40 mts ?
Consequently, in this rhombus-shaped skating rink, the longest distance that may be covered without changing directions is 40 metres.
what is perimeter ?The total distance encircling a two-dimensional shape's perimeter is known as its perimeter. It represents the total length of the shape's sides. The perimeter of a rectangle, for instance, can be determined by combining the lengths of its four sides: A rectangle's perimeter equals 2 x (length + width). Other shapes, such triangles, circles, and polygons, can have their perimeters determined using the appropriate formulas.
given
The formula for the perimeter of a rhombus, which is the sum of the lengths of its four sides, can be used to determine the greatest distance that can be covered in a rhombus-shaped skating rink without changing direction.
Given that the sides are each 26 metres long, the rhombus's perimeter would be:
Perimeter: (4 x 26) = 104 metres
But, we must consider that the smaller diagonal of the skating rink measures 40 metres in order to determine the most distance that may be traversed without changing directions. This means that the skater is limited to a 40-meter radius before having to change directions.
Consequently, in this rhombus-shaped skating rink, the longest distance that may be covered without changing directions is 40 metres.
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The complete question is:- 3.- What is the maximum distance that can be traveled without changing direction in a rhombus-shaped skating rink, if each side measures 26 meters and the smaller diagonal is 40 meters?
help please i dont get this
● < P=R " angles opp =sides"
●PQ =QR " Angles opposite = sides"
therefore PQR is an isosceles " 2 opp angles and sides are equal "
Evaluate q2 + (r5 -10) if q = 5 and R = 2
Answer:
q=5,R=2
Step-by-step explanation:
=5×2+(2×5-10)
=10+(10-10)
=10+0
=10
Which of the following statements is true of the Comprehensive Environmental Response, Compensation, and Liability Act?
Cleanups may be carried out by the Environmental Protection Agency or private parties.
The statement "Cleanups may be carried out by the Environmental Protection Agency or private parties" is true of the Comprehensive Environmental Response, Compensation, and Liability Act (CERCLA), also known as Superfund.
What is the Comprehensive Environmental Response, Compensation, and Liability Act (CERCLA)?
The Comprehensive Environmental Response, Compensation, and Liability Act (CERCLA), commonly known as Superfund, is a United States federal law aimed at cleaning up sites contaminated with hazardous substances as well as preventing future hazardous waste site contamination.
CERCLA was passed by the United States Congress in December 1980 as a means of counteracting the increasing risk of hazardous waste sites in the United States.
What does CERCLA cover?
CERCLA was enacted to offer a federal "Superfund" to clean up uncontrolled or abandoned hazardous waste sites, as well as responding to oil spills, chemical disasters, and other emergencies that present a threat to the public health and the environment.
Cleanups may be carried out by the Environmental Protection Agency or private parties.
When it comes to financing these cleanups, the law mandates that those responsible for the contamination pay for the cleanup or those who do not take responsibility for the pollution.
The legislation was enacted to provide for the cleanup of the country's most hazardous waste sites and to ensure that businesses that generate hazardous waste are held responsible for their toxic contributions to the environment.
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ten families have an average of 2 children per family. if exactly two of these families are childless, what is the average number of children in the families with children? express your answer as a decimal to the nearest tenth.
Answer:
Step-by-step explanation:
If there are ten families and exactly two of them are childless, then there are 10 - 2 = 8 families with children.
The total number of children in these families is 8 x 2 = 16.
Therefore, the average number of children in the families with children is:
16 / 8 = 2
So the average number of children in the families with children is 2.0 (to the nearest tenth).
The average number of children in the families with children is 2.2.
To calculate this, first we need to determine the total number of children in the ten families. Since each family has an average of 2 children, this means that the total number of children in the ten families is 10 x 2 = 20.
Since two of these families are childless, this means that the total number of children in the remaining 8 families is 20 – 0 = 20.
Now, we need to determine the average number of children in the 8 families with children. To do this, we divide the total number of children (20) by the number of families with children (8):
20/8 = 2.5
Finally, we express the answer to the nearest tenth, which is 2.2.
In conclusion, the average number of children in the families with children is 2.2.
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After Simon fully charges his electric car, he can drive for up to 350 miles before it runs out of battery. Simon's car was fully charged this morning, and he has driven 140 miles since then.
Let x represent how many more miles Simon can drive without running out of battery. Which inequality describes the problem?
the inequality that describes the problem is x ≤ 210, meaning that Simon can drive at most 210 more miles before his electric car runs out of battery.
If Simon has driven 140 miles since fully charging his car, then the amount of charge remaining in the battery can power the car for x miles. We can set up the following inequality to represent this situation:
x ≤ 350 - 140
The amount of charge left in the battery is shown on the right-hand side of the inequality and is equal to the maximum amount of charge the battery can store (350 miles) minus the amount of charge that has already been utilised (140 miles). The left-hand side of the inequality displays the number of miles Simon can travel until his battery runs out, which is either less than or equal to the battery's remaining charge.
Simplifying the inequality, we get:
x ≤ 210
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when conducting a logistic regression analysis, what is the problem of class imbalance in a dataset?
Class imbalance is a common problem in logistic regression analysis, where one class of data significantly outnumbers the other.
Class imbalance can be problematic because it leads to an over-representation of one class and an under-representation of the other, which can bias the model’s prediction towards the more frequently occurring class.
Class imbalance can cause the model to focus on optimizing accuracy by predicting the majority class more often than the minority class, leading to an underestimation of the minority class. It can also reduce the model’s ability to capture the nuances of the data that can be associated with the minority class. To address this, techniques such as oversampling, undersampling, and cost-sensitive learning can be employed to balance the data and improve model performance.
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Which expression is equivalent to 0.75a + 10b + a – 2b?
Answer:
1.75a + 8b
Step-by-step explanation:
0.75a + 10b + a - 2b ← collect like terms
= (0.75 + 1a) + (10b - 2b)
= 1.75a + 8b
Answer:
1.75a+8b
Step-by-step explanation:
Given here, 0.75a + 10b + a – 2b = 0.75a+a+10b-2b
=1.75a+8b
Hence, The required equivalent expression is 1.75a+8b
the gallup poll surveyed a representative sample of american adults and offered a list of seven personal economic problems that many people face. what are the top financial concerns that people have?
According to a histogram that displays the percentage of replies over time, an April Gallup poll indicated that 55% of Americans think autonomous cars would be widely used in the next ten years.
Whether completely automated "driverless automobiles" would be widely deployed in the United States was the subject of a Gallup Poll conducted in April, which polled Americans ages 18 and older.
How soon, in your opinion, do you believe autonomous cars will be widely used in the US? According to the survey, 55% of Americans think autonomous cars will become commonplace over the next ten years.
The survey's results were displayed as a histogram, displaying the proportion of replies at various time intervals. This indicates how many respondents indicated that driverless cars will be widely utilised within a particular time period (e.g., within 5 years, within 10 years, etc.).
This survey reveals how people feel about autonomous cars in the future and how soon they believe they will be a common sight on the roads.
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The question is -
A Gallup Poll utilizing a random sample of adults ages or older was conducted in April. The survey indicated a majority of Americans () say driverless cars will be common in the next years (). The question asked was: Thinking about fully automated, "driverless cars," cars that use technology to drive and do not need a human driver, based on what you have heard or read, how soon do you think driverless cars will be commonly used in the [United States]? The figure below shows a summary of the results of the survey in a histogram indicating the percentage of the total responses in different time intervals.
-5,-7-9-11-13 what is the 2nd term in this linear sequence
The 2nd term in this given linear sequence {-5, -7, -9, -11, -13} is -7. So the correct answer is -7.
A linear sequence repeatedly increases or decreases by the same amount. The number added (or subtracted) at each stage of the linear sequence remains the same.
A linear sequence goes from one term to the next by always adding (or subtracting) the same value. The number added (or subtracted) at each stage of the linear sequence is called the common difference.
Examples of linear sequences occur when things change by the same amount each time.
Here is the linear sequence: 8, 11, 14, 17...
To find the next term in this sequence we calculate the common difference.
In this example the common difference is +3.
8 (+3) 11 (+3) 14 (+3) 17 (+3) …
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A rectangular prism has dimensions of 4 inches by 3 inches by 7 inches.
Calculate the surface area. Show your work
Answer: the answer would be 122
Step-by-step explanation:
To find the surface area you need to find the area of each face and add them together
2 (W L+H L+H W) = surface area
2·(4·7+3·7+3·4)=122
Answer:
Step-by-step explanation:
Given dimensions of the rectangular prism ,
4"×3"×7"
We know, Total surface area of a cuboid= 2(lb+bh+hl)
where, l=length of the cuboid
b= breadth " " "
h= height " " "
Since, a rectangular prism holds the shape of a cuboid, therefore it's surface area should also be 2(lb+bh+hl)
Now, surface area of the rectangular prism = 2(4×3+3×7+7×4)
=2(12+21+28)
=2×61
=122 square inches.
nineteen students are eligible to play doubles tennis. what is the maximum number of different 2-person teams possible?
By permutation and combination, Maximum 171 number of different 2 - person teams are possible.
Provide an example of permutation and combination?
An arrangement of things in a specific order is referred to as a permutation. In this arrangement, the components or components of sets are organized in a linear or sequential order.
As an illustration, set A=1,6 has the permutation 2, which is 1,6,1. Permutations include the arrangement of individuals, digits, numbers, alphabets, letters, and colors. Combinations include things like choosing a menu, cuisine, clothing, a subject, and a team.
Total number of ways to choose different 2 person out of 19 person.
= ¹⁹C₂
= 19!/2! (19 - 2)!
= 19!/2! 17!
= 19 * 18 * 17!/2 * 1 * 17!
= 19 * 7
= 171
Hence, maximum 171 number of different 2 - person teams are possible.
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alison has five different hats, six different bracelets, and seven cats. she wants to take a selfie with a hat, a bracelet, and two cats. how many different selfies can she take?
Answer:
The answer is 60
Step-by-step explanation:
2x5x6
rearrange by the commutative property
(2x5)x6
Calculate
10x6
calculate the product or quotient to 60
hence the answer is 60
Hoped this helped:D
Alison has five different hats, six different bracelets, and seven cats. She wants to take a selfie with a hat, a bracelet, and two cats. So she can take 630 different selfies.
She wants to take selfies with what she has, and the question asks how many different selfies can she take.
Let's solve the question below:
The total number of selfies Alison can take is 5 × 6 × ( ₇C₂ )
As Alison wants to take a selfie with a hat, a bracelet, and two cats, there are 5 hats and 6 bracelets she can select from, and she needs to select 2 cats out of 7 available cats.
We can use the combination formula to calculate the total number of ways:
₇C₂ = [tex](7 * 6)/2[/tex]
= 21
Hence, Alison can take [tex]5 * 6 * 21[/tex] = 630 different selfies with a hat, a bracelet, and two cats.
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Show how to change 9^8/7 into a radical expression
Answer:
Rewrite the expression using the negative exponent rule b−n=1bn b - n = 1 b n . 1y98 1 y 9 8.
Step-by-step explanation:
.. Sasha Abbott earns $62,550.00 in taxable income each year. The tax rate is 3.6%, and she takes zero deductions. How much tax does her employer withhold each year? A $2,380.50 B $2,251.80 C $2,500.40 D $1,823.20
Answer: B $2,251.80
Step-by-step explanation:
:)
A parking lot was full of different colored cars. There were 12 red cars, 15 blue cars, and 3 green cars. At this rate, how many blue cars will there be if there were 120 total cars?
mrs. takac throws a ball upward from atop a 506 foot tall building and the ball's height, h, in feet after t seconds is given by the equation: the ball lands on a balcony that is 218 feet above the ground. how many seconds was it in the air?
The number of seconds that the ball was in the air is approximately 5.11 seconds
To find the time the ball was in the air, we need to find the time when the ball hits the balcony, which is located 218 feet above the ground.
Let's set h = 218 in the equation h = -16t^2 + 48t + 506 and solve for t
218 = -16t^2 + 48t + 506
Simplifying, we get
16t^2 - 48t - 288 = 0
Dividing both sides by 16, we get
t^2 - 3t - 18 = 0
Using the quadratic formula, we can solve for t:
t = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 1, b = -3, and c = -18
t = (3 ± sqrt(3^2 - 4(1)(-18))) / 2(1)
t = (3 ± sqrt(105)) / 2
We can ignore the negative solution because time cannot be negative. Therefore, we have
t = (3 + sqrt(105)) / 2
t ≈ 5.11 seconds
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The given question is incomplete, the complete question is:
A person throws a ball upward from a 506 foot tall building the balls height h in feet after t seconds is given by the equation h= -16t^2+48t+506 the ball lands on a balcony that is 218 feet above the ground how many seconds was it in the air
what is the problem with this question item that appeared in a survey? was your phone purchased in the last two years and have you recently updated it?
Option B, The fact that this survey question is a double-barreled question makes it problematic.
A survey question known as a double-barreled question has two questions inside one, making it challenging for respondents to give truthful and insightful responses.
The offered inquiry, in this instance, combines two distinct inquiries: if the phone was acquired within the last two years and whether it has recently had an upgrade.
Inconsistent answers might result from a person who bought their phone more than two years ago but only recently upgraded it, or vice versa. In order to prevent double-barreled questions and guarantee that responders can give precise and complete replies, each question should be isolated and posed independently.
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The question is -
What is the problem with this question item that appeared in a survey? was your phone purchased in the last two years and have you recently updated it?
a. It is a leading question
b. It involves negative wording
c. It is a double-barreled question
d. It is not on a Likert Scale
one-tailed two-tailed a) a pharmacist wants to test whether the effect of a placebo is different from zero. b) holdem motors wants to test whether the mean time to assemble a car is less than 24 hours. c) ihi insurance wants to test whether the mean time to process a claim is less than 7 days
The appropriate type of test for each scenario is a) a two-tailed test, b) a one-tailed test, and c) a one-tailed test.
a) This would be a two-tailed test as the pharmacist is testing for a difference, rather than a specific direction of effect.
b) This would be a one-tailed test as Holdem Motors is specifically testing whether the mean time to assemble a car is less than 24 hours, rather than testing for a difference in either direction.
c) This would be a one-tailed test as IHI Insurance is specifically testing whether the mean time to process a claim is less than 7 days, rather than testing for a difference in either direction.
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Diego used unit cubes to make a rectangular prism what is the volume of the prism
can we see a picture or equation
I need help on this asap!
Step-by-step explanation:
Let's start by defining some variables:
y: the maximum amount Geno can spend
x: the number of months he will have the gym membership
T: the total cost of the membership at Total Fitness
G: the total cost of the membership at Gymania
Using these variables, we can set up the following system of inequalities:
T = 30x + 100 (Total Fitness charges $30 per month plus an initial fee of $100)
G = 50x + 25 (Gymania charges $50 per month plus an initial fee of $25)
Geno can spend no more than y dollars, so we can add the following constraint:
T ≤ y
G ≤ y
Now we can solve this system of inequalities to find out which company offers the better deal. We can start by substituting the expressions for T and G:
30x + 100 ≤ y
50x + 25 ≤ y
Next, we can simplify these inequalities:
30x ≤ y - 100
50x ≤ y - 25
Finally, we can solve for x:
x ≤ (y - 100) / 30
x ≤ (y - 25) / 50
The better deal is the gym membership that has the smaller total cost, so we want to find the values of x that satisfy both inequalities. Therefore, we need to take the smaller of the two right-hand sides:
x ≤ min((y - 100) / 30, (y - 25) / 50)
So, the system of inequalities we can use to determine which company offers the better deal is:
x ≤ min((y - 100) / 30, (y - 25) / 50)