Therefore , the solution of the given problem of ratio comes out to be John needs to use 36 cans of green beans.
What is a ratio?The simple procedure percentage "a / b," once "b" could be a larger than zero, is used to find a group of numbers both "a" and " that appear to be equal. Two ratios are combined to form a ratio. If there were only one man and three ladies, the ratio would be 1:1. In the group, there are 3/4 women and 1/4 males. A division between things, a number, or a particular physical component of a component can all be described as having "parts."
Here,
Let's express the quantity of pumpkin cans as 5x (where x is some multiplier) and the quantity of green bean cans as 2x.
Given that there are 126 cans in total, we can construct the following equation:
=> 5x + 2x = 126
Combining related words gives us:
=>7x = 126
When we multiply both parts by 7, we get:
=> x = 18
John therefore requires 2 cans of green beans and 5 cans of pumpkin:
=> 5x = 5(18) = 90 pumpkin cans
=> 2x = 2(18) = 36 green bean cans.
So, for his exhibit, John needs to use 36 cans of green beans.
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DUE SOON PLEASE HELP
The slope intercept form of the given line whose coordinate of point is (- 5,9) and slope is - 5 would be y = -5x - 16.
Equation of a straight line: y = mx + b ------(i)
Given that
y = 9, x = -5
and slope, m = - 5
By putting above values in equation (i)
9 = -5 (-5) + b
9 = 25 + b
-16 = b
b = -16
y = -5x - 16
The slope of a line is the measure of the steepness and the direction of the line. Finding the slope of lines in a coordinate plane can help in predicting whether the lines are parallel, perpendicular, or none without actually using a compass.
The slope of any line can be calculated using any two distinct points lying on the line. The slope of a line formula calculates the ratio of the "vertical change" to the "horizontal change" between two distinct points on a line. In this article, we will understand the method to find the slope and its applications.
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Mario’s bank account has a balance of -49.25 dollars. Which of these statements must be true?
a) Mario just wrote a check for $49.25
b)The bank owes Mario a little more than $50
c)Mario owes the bank a little more than $50
d)Mario owes the bank a little less than $50
Answer: D Mario owes the bank a little less than $50
Find the probability that a chosen point, in the figure lies in the shaded region.
The probability that a chosen point, in the figure lies in the shaded region is 3.18.
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%
The probability of the point chosen in the shaded region is calculated by the formulae
Probability = [tex]\frac{Area of shaded region}{Total area}[/tex]
To find the total area we need to find the area of a triangle and the area of a semicircle.
Area of triangle = 1/2 * Base * Height
= 1/2 * 15 * 6
= 45
Area of semicircle = [tex]\frac{\pi r^{2} }{2}[/tex]
= [tex]\frac{\pi (3)^{2} }{2}[/tex]
=14.13
Therefore the probability that chosen point = [tex]\frac{45}{14.13}[/tex] = 3.18
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according to the national retail federation, the average shopper will spend $1,007.24 during the holiday shopping season. what is the null and alternatehypothesis?
Based on the amount predicted to be spent, the hypotheses Null Hypothesis = $1,007.24 and Alternate Hypothesis ≠ $1,007.24
The null hypothesis, or H0, in statistics science is the exact reverse of what the researcher wants to investigate. Generally, unless there is compelling proof to the contrary, the null hypothesis is taken to be correct. Another theory that will demonstrate the area one wants to investigate and be reflected by H1 must be developed.
The forecast is confirmed by the null hypothesis, which in this instance is that the typical consumer will indeed spend $1,007.24. According to the Alternate Hypothesis, the predicted occurrence won't occur, so in this instance, the shopper wouldn't spend $1,007.24. In conclusion, the variant contradicts the null hypothesis and supports it.
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whats the answer for that qustion
Answer to Whats the answer for that question?:
A correct response to a question asked to test one's knowledge.
Step-by-step explanation:
The way you answer a question depends on how you view it. This could entail thought process, method, and calculations. So overall it depends on perspective.
Solve for length of segment d.
2 cm
3 cm
6 cm
d= [?] cm
If two segments intersect inside
or outside a circle: ab = cd
Answer: 4
Step-by-step explanation:
2x6 = 3xd
12=3d
d=4
You can trust this answer because I answered it right now and it was correct. <3
The value of length of segment d is,
⇒ d = 4
What is mean by Circle?
The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
A circle is shown in figure.
Now, We can formulate;
⇒ 6 × 2 = d × 3
Solve for d;
⇒ 12 = 3d
⇒ 3d = 12
⇒ d = 12/3
⇒ d = 4
Thus, The value of length of segment d is,
⇒ d = 4
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Which number should be added to both sides of the quadratic equation to complete the square?
Using the equations we know that the square should be finished by adding 9 to both sides.
What are equations?An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values.
As in 3x + 5 = 15, for example.
There are many different types of equations, including linear, quadratic, cubic, and others.
The equals sign is a symbol used in mathematical formulas to denote the equality of two expressions.
So, write the equation so that the terms with x are on the left and the constants are on the right:
x² – 6x = 5
Ensure that the x2 term's coefficient is 1:
x² – 6x = 5
Including a phrase on both sides will complete the left side's square. The x term's coefficient is multiplied by two and squared to achieve this.
To make the equation equal on both sides, add the same amount to the right side.
x² – 6x + 9 = 5 + 9
(x-3)² = 14
Therefore, using the equations we know that the square should be finished by adding 9 to both sides.
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Correct question:
What number should be added to both sides of the equation to complete the square?
x2 – 6x = 5
As seen in the diagram below, Valeria is building a walkway with a width of � x feet to go around a swimming pool that measures 9 feet by 8 feet. If the total area of the pool and the walkway will be 210 square feet, how wide should the walkway be?
The total area of the pool and the walkway will be 210 square feet, the walkway should be 1.8 feet wide.
Describe Area?In mathematics, area is a measure of the size or extent of a two-dimensional shape or surface. It is typically measured in square units, such as square meters, square feet, or square inches. The area of a shape is calculated by multiplying its length by its width or by using a formula specific to that shape.
The concept of area is fundamental to many areas of mathematics, science, and engineering. It is used to calculate the size of land and buildings in real estate, the amount of material needed for construction, the amount of paint needed to cover a surface, and many other practical applications. In addition, the study of area is important in geometry, calculus, and other areas of mathematics.
Let's start by finding the area of the pool, which is 9 feet by 8 feet:
Area of pool = 9 feet * 8 feet = 72 square feet
Next, we need to add the width of the walkway to each dimension of the pool to find the dimensions of the entire area:
Width of area = 9 feet + 2(width of walkway)
Length of area = 8 feet + 2(width of walkway)
The total area of the pool and walkway is given as 210 square feet, so we can set up the equation:
Area of pool + Area of walkway = 210 square feet
Substituting the formulas for the area of the pool and area of the walkway, we get:
72 + (9 + 2x)(8 + 2x) = 210
Expanding the right side and simplifying, we get:
4x² + 34x - 33 = 0
We can solve for x using the quadratic formula:
x = (-34 ± √(34² - 44(-33))) / (2*4)
x = (-34 ± √(1660)) / 8
x = (-34 ± 40.74) / 8
x = 1.8 or x = -5.075
Since the width of the walkway cannot be negative, the width of the walkway should be 1.8 feet.
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Micah wants to know how much principal, P, he should invest at interest rate, r, to have an amount, A, of money at the end of t years. He knows that the formula for the final amount earned using simple interest can be found using the formula, A - P(1 + rt). Which equation is rewritten correctly to isolate principal, P
The correct equation to isolate principal, P, is:
What is simple interest?Simple interest refers to the interest that is earned on an initial amount of money, known as the principal, over a fixed period of time. It is called "simple" because it is calculated based only on the initial principal amount and does not take into account any interest earned on the interest itself, which is known as compound interest.
To isolate principal, P, we need to rearrange the given formula as follows:
[tex]A - P(1 + rt) =[/tex] Interest earned on principal (I)
The interest earned on the principal (I) is given by:
[tex]I = Prt[/tex]
Now, we can rewrite the above formula as:
[tex]A = P + I[/tex]
Substituting the value of I, we get:
[tex]A = P + Prt[/tex]
Now, we can isolate P by subtracting Prt from both sides:
[tex]A - Prt = P[/tex]
Therefore, the correct equation to isolate principal, P, is:
[tex]P = (A - Prt)[/tex]
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The correct equation to isolate P is c. P = A/(1 + rt)
What is simple interest?Simple interest is the term used to describe the interest that is accrued over a predetermined amount of time on an initial sum of money, known as the principal. It is known as "simple" interest because it is computed just using the initial principal sum and ignores any interest that has been earned on top of the interest itself, a concept known as compound interest.
The formula for the final amount earned using simple interest is A = P(1 + rt), where A is the total amount at the end of t years, P is the principal amount, r is the interest rate, and t is the time in years.
To isolate P, we can rearrange the formula as:
A = P(1 + rt)
Divide both sides by (1 + rt):
A/(1 + rt) = P
Therefore, the correct equation to isolate P is:
c. P = A/(1 + rt)
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Gavin is doing a survey to predict the results of an upcoming school election. He waits outside the lunchroom during each lunch period and surveys every tenth student leaving the lunchroom. This table shows the results of his survey.
Position - Votes
President
Henry 36
Christy 42
Celina 22
Vice President
Tristan 14
Kenny 46
Madison 40
Treasurer
Priscilla 53
Reuben 24
Erica 23
-Secretary-
Xavier 33
Ben 30
Charlie 37
Based on his survey, Gavin will predict who the 1,500 students in his school will vote for in the races for president, vice president, treasurer, and secretary. Complete the steps below to predict the outcome of the election.
Part A
Predict how many votes from the student population each candidate for president will get in the election. (Hint: Set up and solve a proportion between the sample and the population.)
Part B
Based on the survey results, who will most likely get the highest percentage of votes for the president’s position? What is that percentage?
Part C
Predict how many votes from the student population each candidate for vice president will get in the election.
Part D
Based on the survey results, who will most likely get the highest percentage of votes for the vice president’s position? What is that percentage?
Part E
Predict how many votes each candidate for treasurer will get in the election from the student population.
Part F
Based on the survey results, who will most likely get the highest percentage of votes for the treasurer’s position? What is that percentage?
Part G
Predict how many votes each candidate for secretary will get in the election from the student population.
Part H
Based on the survey results, who is most likely to get the highest percentage of votes for the secretary’s position? What is that percentage?
100 POINTS! PLEASE ANSWER ALL OF THEM OF I'LL REPORT YOUR ANSWER!!
Henry is predicted to receive 360 votes, Christy is predicted to receive 420 votes, and Celina is predicted to receive 220 votes for the president’s position.
What is probability?
Probability is a measure of the likelihood of an event occurring.
Part A:
To predict how many votes each candidate for president will get in the election, we can set up a proportion between the sample and the population
Let x be the number of votes each candidate will receive in the election.
For Henry:
36/150 = x/1500
x = (36/150) * 1500
x = 360
For Christy:
42/150 = x/1500
x = (42/150) * 1500
x = 420
For Celina:
22/150 = x/1500
x = (22/150) * 1500
x = 220
Therefore, Henry is predicted to receive 360 votes, Christy is predicted to receive 420 votes, and Celina is predicted to receive 220 votes for the president’s position.
Part B:
Based on the survey results, Christy is most likely to get the highest percentage of votes for the president’s position with 42/100 votes, which is approximately 42%.
Part C:
To predict how many votes each candidate for vice president will get in the election, we can set up a proportion between the sample and the population.
Let x be the number of votes each candidate will receive in the election.
For Tristan:
14/150 = x/1500
x = (14/150) * 1500
x = 140
For Kenny:
46/150 = x/1500
x = (46/150) * 1500
x = 460
For Madison:
40/150 = x/1500
x = (40/150) * 1500
x = 400
Therefore, Tristan is predicted to receive 140 votes, Kenny is predicted to receive 460 votes, and Madison is predicted to receive 400 votes for the vice president’s position.
Part D:
Based on the survey results, Kenny is most likely to get the highest percentage of votes for the vice president’s position with 46/100 votes, which is approximately 46%.
Part E:
To predict how many votes each candidate for treasurer will get in the election, we can set up a proportion between the sample and the population.
Let x be the number of votes each candidate will receive in the election.
For Priscilla:
53/150 = x/1500
x = (53/150) * 1500
x = 530
For Reuben:
24/150 = x/1500
x = (24/150) * 1500
x = 240
For Erica:
23/150 = x/1500
x = (23/150) * 1500
x = 230
Therefore, Priscilla is predicted to receive 530 votes, Reuben is predicted to receive 240 votes, and Erica is predicted to receive 230 votes for the treasurer’s position.
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true or false: when two numerical figures appear side by side, spelled-out numbers and numerals should be alternated for clarity.
When two numbers appear side by side, the number and number should be written together for clarity. The statement is true.
The term numeric expression consists of two words, number for a number and expression for a sentence. Therefore, it is a word containing numbers. Teaching mathematics is the combination of numbers and mixed numbers using mathematical operations such as addition, subtraction, division, or division. There are many number expressions such as word form and number form. Numerical expressions are mathematical expressions that contain only numbers and one or more operators.
Examples of symbol operations are addition, subtraction, multiplication, and division. It can be represented by a radical symbol (square root symbol) or a real value.
Equations consist of numbers and contain multiple digits. There is no limit to the number of operators a shared account can have. Some numbers use only one operator of the two numbers, while others may have more than one operator. The only requirement for a numeric expression is that it only contains a number and an operator. Some numbers have only one operator code others have two or more.
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Brad Huxter offers to pay $1,000 over the dealer' cost for a luxury coupe. The base price is $62.685 and options total $5,209. There is no destination charge. If the dealer' costs are 87 percent of the base price and 89 percent of the options, what is Huster's offer?
r offers to pay $1,000 over the dealer' cost for a luxury coupe. The base price is $62.685 and options total $5,209. There is no destination charge. If the dealer' costs are 87 percent of the base price and 89 percent of the options, what is Huster's offer?The dealer's cost for the base price would be 87% of $62,685, which is $54,508.95. The dealer's cost for the options would be 89% of $5,209, which is $4,638.01. Therefore, the total dealer's cost would be $54,508.95 + $4,638.01 = $59,146.96. Brad Huxter's offer is $1,000 over the dealer's cost, so his offer would be $59,146.96 + $1,000 = $60,146.96.
If the volume of the smaller cylinder is 24 in3, what is the volume of the larger cylinder?
A.
48 in3
B.
96 in3
C.
72 in3
D.
120 in3
Explain how you would calculate the salary and benefits required to move from a place with an average cost of living to one with a cost of living index of 133 so that you could maintain your standard of living.
Answer:
here are the factors
Cost of living data includes the expenses incurred for food, shelter, transportation, energy, clothing, education, healthcare, childcare, and entertainment. A cost of living index tracks how much basic expenses rise over time and among different regions.
here
How To Calculate Cost Of Living
Subtract the index of your current city from the index of the city you want to move to: 115.1 - 90.9 = 24.2.
Divide the resulting difference by the index of your current city: 24.2 ÷ 90.9 = 0.266.
Multiply the resulting quotient by 100 to get the percentage: 0.266 x 100 = 26.6%
pc is less than 50% (this can be seen by the shaded area which is less than half of the area under the graph). does this mean that the cost of overage or the cost of underage is higher?
The fact that PC is less than 50% indicates a higher probability of underage.
However, without additional information on the costs associated with overage and underage, we cannot determine which cost is higher.
From the information given in the student question, it is clear that the probability of underage (PC) is less than 50%, as indicated by the shaded area under the graph.
To determine whether the cost of overage or the cost of underage is higher, follow these steps:
1. Identify the costs associated with overage and underage in the given context. Overage cost refers to the cost incurred when the inventory is higher than demand, while underage cost refers to the cost incurred when the inventory is lower than demand.
2. Analyze the graph or data provided to compare the costs of overage and underage. Since the student question does not provide any specific data or graph, we cannot accurately determine which cost is higher based on the given information.
3. Interpret the results. If the cost of overage is higher than the cost of underage, this means that having excess inventory is more expensive than having insufficient inventory.
Conversely, if the cost of underage is higher than the cost of overage, this means that not having enough inventory is more expensive than having excess inventory.
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help asap will give brainliest!!!!
Answer:45 & 90
Step-by-step explanation:
Answer:
∠x = 159° and ∠y = 149°
Step-by-step explanation:
∠a = 31°
∠b = 52°
∠x = ?
∠y = ?
∠a and ∠y are supplementary angles so:
∠a + ∠y = 180
31 + ∠y = 180
∠y = 180 - 31
∠y = 149°
∠b also has a supplementary angle which is not labeled in the question so let's label that ∠c.
∠b + ∠c = 180
52 + ∠c = 180
∠c = 180 - 52
∠c = 128°
∠a and ∠c are both inside a triangle formed by all the lines crossing with each other. Since the sum of angles inside a triangle is 180°, find the third angle in this triangle (∠d) using all the values we were given and solved for:
∠a + ∠c + ∠d = 180
31 + 128 + ∠d = 180
∠d = 180 - 31 - 128
∠d = 21°
∠d and ∠x are supplementary angles so:
∠d + ∠x = 180
21 + ∠x = 180
∠x = 180 - 21
∠x = 159°
∠x = 159° and ∠y = 149°
Help quick give branliest
|x-5|=-8
Only these questions
Answer: 4, -7
Step-by-step explanation:
Plug the numbers into the variables and solve;
(6)(12) / 6+12
Multiply the values in the numerator and add the values in the denominator.
72/18
Then divide and the answer will be 4.
For the second one:
4+3 / 3-4
Add the values in the numerator and subtract the values in the denominator.
7/-1
Dividing this will make 7 a negative, so the answer is -7.
Hope that helped ^^;;
I need help I need to show my work help me please
The value of x in the tangent angle formed by the intersecting chords on the circle is 8.
What is the value of x?
The value of x is calculated by setting up equation for the sum of angles in a circle in order to obtain the value of the opposite arc angle (arc WX) as shown below.
arc WX + arc WV + arc VX = 360 ( sum of angles in a circle)
arc WX + 96⁰ + 64⁰ = 360⁰
arc WX + 160 = 360
arc WX = 360 - 160
arc WX = 200
The value of angle WVX is equal to half of arc angle WX (based on intersecting chord theorem).
m ∠WVX = ¹/₂ arc WX
12x + 4 = ¹/₂ (200)
12x + 4 = 100
12x = 100 - 4
12x = 96
x = 96/12
x = 8
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Triangle ABC is similar to triangle ADE.
AB= 8CM
BC= 6CM
BD= 4CM
Work out the length of DE.
In the above mentioned similar triangles the length of DE is 5.25 cm.
What is triangle?A triangle is a three-sided polygon with three vertices. The triangle's internal angle, which is 180 degrees, is constructed.
Since triangles ABC and ADE are similar, their corresponding sides are proportional. We can use this fact to set up a proportion:
AB / AD = BC / DE
Substituting the given values, we get:
8 / AD = 6 / DE
Multiplying both sides by DE, we get:
8DE / AD = 6
Dividing both sides by 8/AD, we get:
DE = (6/8)AD
We need to find AD to solve for DE. To do this, we can use the fact that BD is an altitude of triangle ABC and triangle ADE is similar to triangle ABC. Therefore, triangle ABD is also similar to triangle ABC, and we can set up another proportion:
BD / AB = AD / AC
Substituting the given values, we get:
4 / 8 = AD / (8 + 6)
Simplifying, we get:
1/2 = AD / 14
Multiplying both sides by 14, we get:
AD = 7
Substituting this value back into the first equation, we get:
DE = (6/8)AD = (6/8)7 = 21/4 = 5.25
Therefore, the length of DE is 5.25 cm.
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A 0.025kg golf ball is hit off a tee with a force of 450N. If the golf club was in contact with the ball for 0.012 s, how much will its velocity change?
A 0.025kg golf ball is hit off a tee with a force of 450N. If the golf club was in contact with the ball for 0.012 s, the velocity of the golf ball will increase by 216 m/s.
what is algebra?
Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas. It involves the study of variables, expressions, equations, and functions.
To solve this problem, we can use the equation:
F = m*a
where F is the force applied, m is the mass of the object, and a is the acceleration.
We can rearrange this equation to solve for acceleration:
a = F/m
Using this equation, we can find the acceleration of the golf ball:
a = 450N / 0.025kg = 18000 m/s²
Next, we can use the equation:
v = v0 + a*t
where v is the final velocity, v0 is the initial velocity (which we'll assume is 0 m/s), a is the acceleration, and t is the time.
We know the acceleration and the time, so we can solve for the final velocity:
v = 0 + (18000 m/s²) * 0.012 s
v = 216 m/s
Therefore, the velocity of the golf ball will increase by 216 m/s.
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20 points and brainlist!
show all steps pls!!
Using the area formula,
Area of the prism = 40mm².
Define area?
The word "area" designates a vacant region. The length and width of a form are used to calculate its area. The units of unidimensional length are feet (ft), yards (yd), inches (in), etc. Yet, the area of a shape is a two-dimensional quantity. Measurements like square inches (in²), square feet (ft²), square yards (yd²), etc. are used to measure anything in a square.
In the figure,
We have 2 equal rectangles and 2 equal triangles.
Now dimensions of the rectangles, l = 4mm and b = 3mm.
Area of 2 rectangles = 2 × 4 × 3
= 24mm².
Height of triangle, h = 4mm and base, b = 4mm.
Area of 2 triangles = 2 × 1/2 × b × h
= 4 × 4
= 16mm².
Therefore, total area of the prism = 24 + 16 = 40mm².
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Describe the data. It would help a lot. Thank you
Answer:
Frequency is high hope this help you
Heyyy y’all can you please help me
Answer:
Step-by-step explanation:
x + 5 < 7
x + 5 - 5 < 7 - 5
x < 2
The number line will have a open circle at 2 and be shaded to the left
completely. The solution is all numbers less than positive 2.
Can someone help me ASAP it’s due tomorrow. I will give brainliest if it’s all done correctly. Show work.
Answer:
1 over 36
Step-by-step explanation:
Name an arc of the circle?
X
none of these
O arc XW
arc WY
arc YZ
W
N
Y
The arc for the following circle is arc YZ that is option D.
What is arc?In geometry, an arc is a part of a circle's circumference. It is defined as the portion of the circle that is contained between any two points on the circle. The length of an arc is proportional to the measure of its central angle, which is the angle formed by the two radii drawn to the endpoints of the arc. The measure of an arc is typically expressed in degrees, and it can be calculated using the formula:
arc length = (central angle measure / 360 degrees) x (circumference of the circle)
In addition to being a fundamental concept in geometry, arcs are commonly used in fields such as engineering, architecture, and physics to describe the shape and motion of objects that move along curved paths.
Here,
In the given options, we have four letters X, W, Y, and Z, which represent the points on the circle. The arcs are defined by the pairs of these points as follows:
Arc YZ is the arc of the circle that starts at point Y and ends at point Z.
Therefore, the answer is that the arcs of the circle mentioned in the options are O arc YZ.
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What is Limit of StartFraction 4 minus 3 x + x squared Over 2 x squared + 1 EndFraction as x approaches infinity? 0 One-half 2 nonexistent
The limit of the given function as x approaches infinity is 2.
What is infinity?Infinity is a concept used in mathematics to represent a quantity that is unbounded or without limits. It is often used to describe a value or set of values that increases or decreases indefinitely without ever reaching a final value.
According to question:To find the limit of the given function as x approaches infinity, we need to determine the behavior of the function as x becomes very large (positive or negative).
Let's examine the expression inside the limit as x approaches infinity:
StartFraction 4 - 3x + x² Over 2x² + 1 EndFraction
As x approaches infinity, the highest power term in the numerator and denominator dominates. In this case, the term x² dominates in the numerator and denominator. So we can simplify the expression by dividing both numerator and denominator by x²:
Start Fraction 4/x² - 3/x + 1 Over 2 + 1/x² End Fraction
As x approaches infinity, both the terms 3/x and 1/x² become very small and can be ignored. Therefore, the expression approaches:
Start Fraction 4/x² - 0 + 1 Over 2 + 0 End Fraction
which simplifies to:
Start Fraction 4 Over 2 End Fraction = 2
Therefore, the limit of the given function as x approaches infinity is 2.
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Can someone help me please
The linear equation that passes through the given points is:
y + 9 = -10*(x - 1)
How to write the linear equation?A general linear equation that passes through two points (x₁, y₁) and (x₂, y₂) has a slope given by:
a = (y₂ - y₁)/(x₂ - x₁)
Then using any of these points we can write the line as:
y - y₁ = a*(x - x₁)
Here the points are (1, -9) and (-10, 101), then the slope is:
a = (101 + 9)/(10 - 1) = 110/-11 = -10
And using the point (1, -9) we can write the line as:
y + 9 = -10*(x - 1)
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Jim will rent a car for the weekend he can choose one of two plans. the first one has no initial fee but cost $0.70 cents per mile driven. the second plan has an initial fee of $70 and cost an additional $0.50 per mile driven. how many miles would Jim need to drive for two plans to cost the same?
Verify that $\triangle ABC\sim\triangle DEF$ . Find the scale factor of $\triangle ABC$ to $\triangle DEF$ .
$\triangle ABC:\ BC\ =\ 18,\ AB\ =\ 15,\ AC\ =\ 12$
$\triangle DEF:\ EF\ =\ 12,\ DE\ =\ 10,\ DF\ =\ 8$
The scale factor of the given triangle is 3/2.
What is triangle?
Triangles are a particular form of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional image shown here. An example of a 3-sided shape is a triangle. The total of a triangle's three angles is 180 degrees.
In triangle ABC and triangle DEF;
AB= 15, BC=18, AC=12 and DE=10, EF=12, DF=8
NOW, we know that scale factors are the REDUCED FORM of corresponding sides of two similar triangles, then;
HERE;
scale factors will be....
AB/DE=15/10=3/2
BC/EF=18/12=3/2
AC/DF=12/8=3/2
Hence, scale factor is 3/2.
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The correct question is:
Verify that △ABC∼△DEF. Find the scale factor of △ABC to △DEF. If △ABC: BC = 18, AB = 15, AC = 12 △DEF: EF = 12, DE = 10, DF = 8.