At (1, 5, 1), these two perpendicular bisectors will come together. These are the triangle's circumcenter's coordinates.
What is circumcenter ?the middle of the triangle's circle. It is the intersection of the "perpendicular bisectors," or lines that are perpendicular to the middle of each side.
Triangle ABC's circumcenter is the point at which any two perpendicular bisectors of any two sides of the triangle come together.
The perpendicular bisector of sides B(3,0) and C(3,2) has the equation is y=1.
Because AB's slope is unknown and its midpoint is at 3,1. The slope of the perpendicular bisector is zero. Such a line has the equation y=y1.
Additionally, x=1.5 is the equation for the perpendicular bisector of A(0,0) and B(3,0). The explanation is because AB has a zero slope and a midway of (1.5,0). The slope of the perpendicular bisector will be ill-defined. x=x1 is the equation for such a line.
At (1, 5, 1), these two perpendicular bisectors will come together. These are the triangle's circumcenter's coordinates.
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According to online realtor Zillow a 30 year $200,000, 4. 5%, fixed rate mortgage on your house will currently set your estimated monthly payments at about $1,020 per month. A 15-year fixed rate $200,000 mortgage would drop to 4. 0% with monthly payments of $1,480. Approximately how much would the 15-year fixed rate mortgage save you over the length of both loans?
The 15-year fixed rate mortgage save $ 100,800 more than in the case of the 30-year mortgage.
We must compute the total payments to be made in order to determine the amount saved by getting a 15-year mortgage rather than a 30-year mortgage.
Payments for a 30-year mortgage with a fixed rate of 4.5% are due every month in the amount of $1,020. The total payment is then determined as follows:
Total payment = 1020 * 12* 30 = 367,200
Difference according to lone = 367,200 - 200,000
difference = $167,200
Now, the monthly payments for the 15-year mortgage at a 4% rate will be $1,480.
Then total final payment = 1480*12*20 = $266,400
so in this case, the difference from The loan will be
266,400 - 200,000 = $66,400
Thus, we can draw the conclusion that, when comparing the two loans, the 15-year option will result in savings of $ 100,800 more than the 30-year mortgage.
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you are to build a rectangular pen with three parallel partitions using 500 feet of fencing. what dimensions will maximize the total area of the pen?
The dimensions required are 125 feet and 50 feet.
The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point. The tangent line is the best linear approximation of the function near that input value. For this reason, the derivative is often described as the "instantaneous rate of change", the ratio of the instantaneous change in the dependent variable to that of the independent variable. Derivatives can be generalized to functions of several real variables. In this generalization, the derivative is reinterpreted as a linear transformation whose graph is (after an appropriate translation) the best linear approximation to the graph of the original function. The Jacobian matrix is the matrix that represents this linear transformation with respect to the basis given by the choice of independent and dependent variables.
The total length will be x and the height will be y.
Perimeter = 500 = 2x + 5y
Total Area = A = xy
Solve for y using the equation of perimeter:
5y = 500 - 2x
y = 100 - 2x/5
Put y in the equation of the Area
A = x(100 - 2x/5)
A = -2x²/5 +100x
To find the maximum area, find the derivative:
A' = -4x/5 + 100
To maximise the area, we equate A' to zero.
A' = 0
-4x/5 +100 = 0
∴ x = 125
A' is positive when x < 125 and A' is negative when x >125, therefore meaning that x=125 is a maximum. Since this value is a maximum, the area is maximized when the total length is 125ft.
Put x = 125 in equation of perimeter:
500 = 2(125) + 5y
500 = 250 + 5y
5y = 250
∴ y = 50 ft
Thus, the dimensions required are 125 feet and 50 feet.
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Which of the following statements must be true about the polynomial function f(x)
For a polynomial function statements that need to be true are different end behavior for different degree and different sign of leading coefficient.
What is polynomial function?A function that can be expressed as a polynomial is referred to as a polynomial function.
A polynomial equation's definition can be used to derive the definition.
A polynomial is typically denoted by P (x).
The degree of the variable in P(x) is its maximum power.
The degree of a polynomial function is crucial because it reveals how the function P(x) will behave when x is very large.
Whole real numbers make up a polynomial function's domain (R).
For a polynomial function following statements to be true:
Function that has different degrees have different end behaviors because due to different degrees the graph will be different, and their x-intercept will be different.Function that has leading coefficient of different sign have different end behavior because if we take even degree polynomial leading coefficient.To know more about polynomial follow link:
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Find compound interest on 15,625 at 4% for 3 years.
Help! With steps
Answer:
P=15,625
Rate=4%
Time=3 years
CI=P(1+R/100)^T
=15,625(1+4/100)^3
=15,625*1.124864
=17576 Ans
Step-by-step explanation:
hope it helps
Can 2/3 turn into an improper fraction
Answer:no
Step-by-step explanation:
Answer: no
Step-by-step explanation: cuz u need a number thats bigger such as the numerator is bigger than the denominator
Aeris reads the temperature of a liquid in a lab experiment. The temperature of the liquid is 7.2ºF. After 5 hours, she reads the temperature of the liquid again. The temperature of the liquid is now −1.6°F.
Aeris plots the points on a number line to determine the temperature change between these two readings.
How much did the temperature decrease?
Enter your answer as a decimal in the box.
[]
Answer:
Step-by-step explanation:
5,6
A cashier gets a $100 bonus for working on a holiday plus $11/h. The total holiday salary is given by the function y = 11x + 100. How will the graph change if the bonus is raised to $150 and the hourly rate is lowered to $10/h? Choose the answers that describe these transformations.
HELP PLEASE
(50,650) the graph evolve if the hourly rate is reduced to $10/h and the incentive is increased to $150.
Given that,
For working on a holiday, a cashier is given a $100 bonus in addition to $11/h. The equation y = 11x + 100 yields the entire holiday salary.
We have to find how would the graph evolve if the hourly rate is reduced to $10/h and the incentive is increased to $150.
We know that,
We get,
A cashier is given a $100 bonus in addition to $11/h is y=11x+100
The hourly rate is reduced to $10/h and the incentive is increased to $150 is y=10x+150
Now we subtract those two equation
11x+100-10x-150=0
x-50=0
x=50
We get y as y=10x+150
y=10(50)+150
y=500+150
y=650
Therefore, (50,650) the graph evolve if the hourly rate is reduced to $10/h and the incentive is increased to $150.
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Find the sum of 6 and 18.
12
× (6 +18) = X
?
Answer:
24
Step-by-step explanation:
6 + 8 =24. You can ignore the 1/2 because it is on both sides of the equation.
Answer:
it is 24 and 24x1/2 but you can count 1/2 as 2 which will get you to 48 division 12
Really need help on this I do not understand how to do anything
Answer:
y = 6x + 12
Step-by-step explanation:
(2, $24)
(4, $36)
(6, $48)
Find slope (y2-y1) / (x2-x1)
m = ($36 - $24) / (4 - 2)
m = 12 / 2
m = 6
Put into formula y = mx + b
y = 6x + b
Substitute values to find b (the y offset)
$24 = 6(2) + b
$24 = 12 + b
b = $12
y = 6x+12
The spinner shown has eight congruent sections the spinner is spun 144 times what is a reasonable prediction for the spinner will land on an even number.
Prediction for the spinner will land on an even number is 54 times.
What do you mean by permutation and combination?
By choosing some items from a set and creating subsets, permutation and combination are two approaches to represent a group of objects. It outlines the numerous configurations for a particular set of data. Permutations are the selection of data or objects from a set, whereas combinations are the order in which they are represented.
There are 3 even numbers out of A total of 8 numbers.
Each spin would have a 3/8 chance of landing in an even number.
Multiply the chance of landing on even by number of spins:
144 x 3/8 = 432/8 = 54
The answer would be 54 times.
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Pls Help Got to do this right now!!!
Which expression is the additive inverse of - 13/6?
A) 13/6
B) 6/13
C) - 6/13
D) - 13/6
WILL MARK BRAINLIEST!!
Which subset of real numbers does
belong to?
-17/20
The number -17/20 belongs to the set of real numbers.
What is the set of real numbers?
The set of real numbers is made by combining the set of rational numbers and the set of irrational numbers. Real numbers include natural numbers or counting numbers, whole numbers, integers, rational numbers (fractions and repeating or terminating decimals), and irrational numbers.
All real numbers, including fractions and decimals, are part of the set of real numbers.
The set of real numbers includes all numbers that can be expressed on the number line, including positive and negative numbers, as well as all fractions and decimals.
This set is often denoted by the symbol "ℝ".
Hence, The number -17/20 belongs to the set of real numbers.
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5. Mila is preparing to travel from the United States to Belgium, a member of the European Union, and wants to exchange $80 USD to euros. She finds that the curren exchange rate is €0.85 EUR to $1 USD. If Mila exchanges $80 USD, how much mone will she receive in euros? (Example 4)
Mila will receive 68 EUROS of money after the exchange of 80 US dollar.
What is meant by USD?USD is the official money currency of united states of America.. its symbol of representation is $., also value of 1 US$ =82 rupee.
What is meant by EURO?Unit of money used in other countries of European union is known as euro, also value of 1 EURO=87 rupee.
According to the given data in the question,
1 USD =0.85 EURO
80 USD = 0.85*80 EURO
80 USD= 68 EURO
Hence 80USD will be converted to 68 EUROS
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help meeeeeeeeeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeeeeeeeeee!!!!!
5% of $1100 = 55
Year given = 7
So, 55 × 7 = 385
She would get after 7 years all total = (1100 + 385) = $1485
Help……………………dldkdkldleld
Answer:
Angle DFC is complementary to angle BFC
Step-by-step explanation:
AD is a straight line passing line EB. DFE, EFA, AFB and BFD are right angles as the lines are perpendicular.
DFB is divided into 2 angles by the segment FC
therefore
DFC + BFC = 90 degrees
The equation x² - 4x + y2-2y = 16 describes a circle. What is the y-coordinate of
the center of the circle?
The y-coordinate of the center of the circle is 1.
What is a coordinate?
In geometry, a coordinate system is a method for determining how to place points or other geometrical objects on a manifold, such as Euclidean space, uniquely using one or more numbers, or coordinates. A coordinate system is a framework for specifying how objects are situated in relation to one another within a specified space, such as a specific region of the earth's surface or the entire surface of the planet.
Solution Explained:
After completing the square for x and for y, you should get
(x+2)^2 + (y-1)^2 = 21
Center (x,y) = (-2,1)
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Which function represents the graph below?
The graph represents the function
y = -1 if -6 < x ≤ -4
y = 0 if -4 < x ≤ -2
y = 1 if -2 < x ≤ 0
y = 2 if 0 < x ≤ 2
y = 3 if 2 < x ≤ 4
y = 4 if 4 < x ≤ 6.
Option(B) is the correct answer.
What is a graph of a function?
A graph of a function is a visual representation of the relationship between the input values and the output values of the function. It is typically plotted in the form of a set of points on a coordinate plane, with the input values plotted on the horizontal axis and the output values plotted on the vertical axis.
From the given graph we can conclude that
y = -1 if -6 < x ≤ -4
y = 0 if -4 < x ≤ -2
y = 1 if -2 < x ≤ 0
y = 2 if 0 < x ≤ 2
y = 3 if 2 < x ≤ 4
y = 4 if 4 < x ≤ 6
Hence, the graph represents the function
y = -1 if -6 < x ≤ -4
y = 0 if -4 < x ≤ -2
y = 1 if -2 < x ≤ 0
y = 2 if 0 < x ≤ 2
y = 3 if 2 < x ≤ 4
y = 4 if 4 < x ≤ 6
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The graph represents the function
y = -1 if -6 < x ≤ -4
y = 0 if -4 < x ≤ -2
y = 1 if -2 < x ≤ 0
y = 2 if 0 < x ≤ 2
y = 3 if 2 < x ≤ 4
y = 4 if 4 < x ≤ 6.
Option(B) is the correct answer.
What is a graph of a function?
A graph of a function is a visual representation of the relationship between the input values and the output values of the function. It is typically plotted in the form of a set of points on a coordinate plane, with the input values plotted on the horizontal axis and the output values plotted on the vertical axis.
From the given graph we can conclude that
y = -1 if -6 < x ≤ -4
y = 0 if -4 < x ≤ -2
y = 1 if -2 < x ≤ 0
y = 2 if 0 < x ≤ 2
y = 3 if 2 < x ≤ 4
y = 4 if 4 < x ≤ 6
Hence, the graph represents the function
y = -1 if -6 < x ≤ -4
y = 0 if -4 < x ≤ -2
y = 1 if -2 < x ≤ 0
y = 2 if 0 < x ≤ 2
y = 3 if 2 < x ≤ 4
y = 4 if 4 < x ≤ 6
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The diameter of a circle is 15 cm. Find its area to the nearest whole number.
Answer:
177
Step-by-step explanation:
A=3.14r^2
A=3.14(7.5)
A=~177
. Is x + 2 a factor of the polynomial f(x)=2x^4-3x²-4x+1?
Of(2)=13, so (x + 2) is not a factor.
O f(-2)=29, so (x + 2) is not a factor.
O f(-2)=0,so (x + 2) is a factor.
Of(2)=0,so (x+2) is a factor.
(x + 2) is not a factor of the given polynomial f(x).
What is factor of polynomial?
A polynomial with coefficients in a specific field or in integers is expressed as the product of irreducible factors with coefficients in the same domain in mathematics and computer algebra, which is known as polynomial factorization.
Consider, the given polynomial
f(x)=2x^4-3x²-4x+1
We have to check that (x + 2) is a factor of polynomial or not.
Since, if (x - a) is a factor of polynomial then 'a' is a zero of polynomial.
Here if (x + 2) is a factor of f(x) then f(-2) = 0
Plug x = -2 in f(x).
⇒
f(-2) = 2(-2)^4 - 3(-2)^2 - 4(-2) + 1
= 32 - 12 + 8 + 1
= 20 + 9
f(-2) = 9
f(-2) ≠ 0
Hence, (x + 2) is not a factor of the given polynomial f(x).
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8. Graph the function
f(x)=-5/4x+6.
Label the point on the graph that is the
solution to f(x) = -4 by writing
solution" next to it. Then, write the
solution below.
Solution
Show your work
The graph for the given function f(x)=-5/4x+6. is obtained.
What is meant by the term function?A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.For the stated question, the function is defined as;
f(x) = -5/4x + 6.
Put x = 0,
f(0) = -5/4(0) + 6.
f(0) = 6
Coordinate (0, 6)
For, the solution of f(x) = -4, put f(x) = -4
-4 = -5/4x + 6
x = 8
Coordinate (8, -4)
Plot the graph using the obtained points for the function.
Thus, the graph for the given function is obtained.
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Chad is decorating a rectangular ballroom ceiling with decorative lights. Beginning in a corner, Chad strings the lights along the length of the ceiling, a distance of 55 feet. Next, Chad strings the lights along the width of the ceiling, a distance of 48 feet. Then Chad strings the lights straight back to the original corner. At this point, how many feet of lights has Chad used?
If necessary, round your answer to the nearest tenth.
feet
At the given point, Chad has used 176 feet of light
How to determine the number of feet of light?From the question, we have the following parameters that can be used in our computation:
Length = 55 feet
Width = 48 feet
We start by calculating the distance from the end of the width till the beginning of the length
This is represented by the following Pythagoras theorem
Distance = √(Length² + Width²)
So, we have
Distance = √(55² + 48²)
Evaluate
Distance = 73
The number of feet is then calculated as
Feet = Length + width + distance
So, we have
Feet = 55 + 48 + 73
Evaluate
Feet = 176
Hence, the total distance is 176 feet
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Write the statement "the sum of a number and 10.7 is at most −3.2" as an inequality.
−3.2 + b > 10.7
−3.2 + b < 10.7
b + 10.7 ≥ −3.2
b + 10.7 ≤ −3.2
The inequality that represents the condition will be b + 10.7 ≥ −3.2. Then the correct option is C.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Let the number be 'b'. Then the statement "the sum of a number and 10.7 is at most −3.2" is written in mathematical form. Then we have
b + 10.7 ≥ −3.2
Thus, the inequality that represents the condition will be b + 10.7 ≥ −3.2. Then the correct option is C.
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7 divided by 1 over 2
Answer: 3.5
Step-by-step explanation: hope it helps :)
Answer: 14
Step-by-step explanation: using cross multiplication, 7 times 2=14 and 1 time 1=1. so it would be 14/1 which can be simplified to 14.
In the first week of July, a record 1,120 people went to the local swimming pool. In the second week, 105 fewer people went to the pool than in the first week. In the third week, 140 more people went to the pool than in the second week. In the fourth week, 315 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks?
The percent decrease of people who went to the pool is…
PLEASE I NEED A FAST ANSWER
TY‼️
The percent decrease of people who went to the pool is 25%.
Define percentage.Percentage is defined as "out of 100." Similar to fractions and decimals, percentages are used in mathematics to represent subsets of a whole. When expressing a sum as a percentage, 100 equal components are regarded to make up the whole. A percentage can be shown by the symbol % or, less frequently, by the abbreviation 'pct'.
Given
In first week = 1120
In second week
Subtracting,
1120 - 105
1015
In third week,
Sum
1015 + 140
1155
In fourth week
1155 - 315
840
The percentage of fewer persons that visited the pool during these four weeks,
1120 - 840/1120
280/1120
1/4
For percentage,
1/4 × 100%
25%
The percent decrease of people who went to the pool is 25%.
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Me. Ramirez writes the equation shown. He asks four students to slice the equation for y 8x-4y=20
The slicing of the equation 8x - 4y = 20 for y is y = 2x - 5
How to slice the equation for yFrom the question, we have the following parameters that can be used in our computation:
8x-4y=20
Rewrite the above equation properly
So, we have the following representation
8x - 4y = 20
Divide through the equation by 4
So, we have the following representation
2x - y = 5
Make y the subject of the equation in the above equation
This gives
y = 2x - 5
Hence, the solution is y = 2x - 5
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Pls help with thissss
2tan^2x+tanx=0
Find all angles that satisfy the equation below
The angles that satisfy the given trigonometric equation are 0°, 153.5°, 333.5°
What are trigonometric ratios?Trigonometric ratios are the ratios of sides of a right-angle triangle. The most common trigonometric ratios are sine, cosine, and tangent.
2tan^2∅ + tan∅ = 0
let k = tan∅
so that we have
2k^2 +k = 0
factorizing,
k( 2k + 1) = 0
Therefore,
k = 0, or 2k + 1 = 0
2k = -1
k = -1/2
so k = 0 or k = -1/2
recall that tan∅ = k
which means
tan∅ = 0 or tan∅ = - 1/2
∅ = arc(tan) 0 or arc(tan) -1/2
∅ = 0° 0r -25.6°
but tan ∅ = -1/2 at 90° to 180° and 270° to 360°
∅ = 0°, (180 - 25.55°), (360 - 25.55°)
∅ = 0°, 153.5°, 333.5°
In conclusion the angles that satisfy the equation are 0°, 153.5° and 333.5°
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What is the value of g(5)-2g(1)
Answer:
3 grams
Step-by-step explanation:
g(5)-2g(1)
g × 5- 2g(1)
5g - 2g×1
5g - 2g
3g
the probability that it will rain tomorrow is 0.2. the odds that it will rain tomorrow are 2 to . the odds that it will not rain tomorrow are to
The probability that it will rain tomorrow is 0.2. the odds that it will rain tomorrow are 2 to . The odds that it will not rain tomorrow are to 0.8.
What is probability ?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
The probability that it will rain tomorrow is 0.2
i.e.
P(it will rain tomorrow )=0.2
Now probability that it won't rain tomorrow is,
P(it won't rain tomorrow )=1- P(it will rain tomorrow)=1-0.2=0.8
Thus
P(it won't rain tomorrow)=0.8.
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Dylan has $14.00 to spend at the book fair. He decides to buy two paperbacks for $4.50 each. Then, he sees some sticker books. At most, how much can he spend on sticker books?
A $5.50
B $6.00
C $5.01
D $5.00
Answer:
B because I had learned this at school.
Silvia puts $1000 in an account. She puts 10% of the account each month for a year how much is in her account at the end of the year?
At the end of the year, there will be $2200.in her account
Describe account.A list of debit and credit entries for transactions involving a specific object (such as cash or notes payable), a certain person or business, or both. a financial period's transaction statement that displays the final balance
The most typical kinds of bank accounts are as follows: Checking accounts and Savings accounts
Silvia invests $1,000 in an account over the course of a year, contributing 10% per month.
Because there are 12 months in a year,
She puts 10% of the account each month for a year
that is 10 * 1000/100 = 100 each month she puts in her account.
so for 12months in a year 100*12 = $1200
$1200 in her account over the course of the year she has deposited
Thus, at the end of the year,
Silvia has $1000 + $1200 = $2200 in her account.
At the end of the year, there will be $2200.in her account.
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