The prediction method Linear Extrapolation is the method used to estimate a point on a line when the point does not lie between the given points.
What is linear extrapolation?Using the equation of a line to obtain a new data point based on an existing collection of data points is known as linear interpolation in mathematics.
Now,
Since it employs a linear model to forecast the necessary point that does not reside between the given locations, this prediction technique is known as linear extrapolation.
Hence, The prediction method Linear Extrapolation is the method used to estimate a point on a line when the point does not lie between the given points.
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Name a Linear Pair.
Answer:
MSN < LSO
Step-by-step explanation:
Identical Shapes which makes them linear pairs because they pair with each other.
Thanks Please Mark Brainliest, (Trying to rank to genius)
Simplify by combining like terms.
3x^2y^2 + 4xy - 2x^2y^2 - 6xy
Hello,
3x²y² + 4xy - 2x²y² - 6xy = x²y² -2xy
13. Determine the equation of the polynomial with degree 4 whose graph is shown in the figure.
The equation of the polynomial on the graph is P(x) = x^2(x - 2)(x + 2)
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the equation of the polynomial?The graph represents the given parameter
On the graph, we have the following points
Points that the graph crosses the x-axis: x = 2 and -2Points that the graph turns on the x-axis: x = 0The multiplicities at these points are
Points that the graph crosses the x-axis: 1Points that the graph turns on the x-axis: 2Using the above as a guide, the equation of the polynomial is
P(x) = (x - x value)^Multiplicity
So, we have
P(x) = (x - 2)^1 * (x + 2)^1 * (x - 0)^2
The above equation becomes
P(x) = (x - 2) * (x + 2) * x^2
Evaluate
P(x) = x^2(x - 2)(x + 2)
Hence, the equation of the polynomial on the graph is P(x) = x^2(x - 2)(x + 2)
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to answer this question, you may find the following information useful: the contiguous united states (all of the states minus alaska and hawaii) can be approximated as a rectangle that measures 1000 miles north to south and 3000 miles east to west
In order to cover the entire land area of United States with dollar bills, it would cost 9 × 10¹⁴ dollars.
What is a conversion factor?A conversion factor can be defined as a number that is typically used to convert (change) a number in one (1) set of units to another, either by dividing or multiplying.
Generally speaking, an appropriate conversion factor to an equal value must be used when it is necessary to perform any mathematical conversion.
Conversion:
1 mile = 160934 cm
Length of contiguous land = 160934 × 3000 miles = 482,802,000 cm.
Width of contiguous land = 160934 × 1000 miles = 160,934,000 cm.
Mathematically, the area of a rectangle can be calculated by using this formula;
Area of rectangle = length × width
Area of contiguous land = 482,802,000 × 160,934,000
Area of contiguous land = 77,699,257,068,000,000 cm²
Next, we would determine the area of Alaska:
Area of Alaska = 1/5 × 77,699,257,068,000,000
Area of Alaska = 15,539,851,413,600,000 cm²
Total area = Area of Alaska + Area of contiguous land
Total area = 15,539,851,413,600,000 + 77,699,257,068,000,000
Total area = 93,239,108,481,600,000 cm²
Also, the area of a dollar bill is given by:
Area of dollar bill = 6.5 × 15.5
Area of dollar bill = 100.75 cm²
Now, we can determine the cost:
Cost = Total area/Area of dollar bill
Cost = 93,239,108,481,600,000/100.75
Cost = 9 × 10¹⁴ dollars.
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Complete Question:
How much would it cost to cover the entire land area of United States with dollar bills? To answer this question, you may find the following information useful:
The contiguous United States (all of the states minus Alaska and Hawaii) can be approximated as a rectangle that measures 1000 miles north to south and 3000 miles east to west, while Alaska has about one-fifth the area of the contiguous states and Hawaii is small enough to be ignored for this rough calculation. Also, note that a dollar bill measures around 6.5cm × 15.5cm. Express your answer to one significant figure!
Is a triangle with side lengths of 2 millimeters, 2.5 millimeters, and 3 millimeters a right triangle?
The triangle with side lengths of 2 mm, 2.5 mm, and 3 mm is not a right triangle because it does not obey Pythagoras theorem.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Pythagoras theorem states that for a right angled triangle:
Hypotenuse² = Adjacent² + Opposite²
To prove that a triangle with side lengths of 2 mm, 2.5 mm, and 3 mm a right triangle:
3² = 2² + 2.5²
9 = 4 + 6.25
9 ≠ 10.25
The triangle with side lengths of 2 mm, 2.5 mm, and 3 mm is not a right triangle because it does not obey Pythagoras theorem.
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2 (1,5 x 1,2 m) cm ²
Answer:
360 milliliters
Step-by-step explanation:
2 (1,5 x 1,2 m) cm ² (wink wink)
Use the properties of exponents to simplify the given expression. First express the answer in exponential form. Then evaluate the expression. 3^5/3^7
Answer:
3^-2
Step-by-step explanation
Subtract the exponent on the denominator from the exponent on the numerator
5-7=-2
keep the 3 and apply the -2 exponent
What is the equation and the total amount? last one for this topic
w=28t+600
908 liters
here you go :)
Choose an expression for the input-output table. Next, using a variable for the value in the input column, determine the next two values in the table if the table were followed.
Option a, 2x + 1, 6 and 13, 7 and 15.
Here, we are given input-output table as shown in the figure.
To find the equation for this table let us look at each option one by one-
a. 2x + 1
Here if we take input x = 2
output = 2(2) + 1
= 5
If x = 3
output = 7
and if we check for other values also, 2x + 1 will satisfy.
Thus, 2x + 1 is the correct equation.
we can check the points as well-
if x = 6
output = 2(6) + 1 = 13
and if x = 7
output = 2(7) + 1
= 15
Since, we've found the correct answer in option a, we do not need to check the other options.
Thus, option a is the correct answer.
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50 points plus brainliest please help screenshot provided
Answer:
Equation: [tex]\sf 3x + x + 14 = 90[/tex]
m∠1 = 57°
m∠2 = 33°
Explanation:
A right angle triangle has 90° angle measure.
Here:
m∠1 + m∠2 = 90°
(a)
Substitute given values:
(3x) + (x + 14) = 90
simplify
4x = 90 - 14
evaluate
4x = 76
divide both sides by 4
x = 19
(b)
m∠1 = 3x = 3(19) = 57°
m∠2 = x + 14 = 19 + 14 = 33°
Answer:
[tex]\textsf{(a)} \quad (3x)^{\circ}+(x+14)^{\circ}=90^{\circ}[/tex]
[tex]\textsf{(b)} \quad m \angle 1=\boxed{57}\:^{\circ}[/tex]
[tex]m \angle 2=\boxed{33}\:^{\circ}[/tex]
Step-by-step explanation:
From inspection of the given diagram:
[tex]m \angle 1=(3x)^{\circ}[/tex][tex]m \angle 2=(x+14)^{\circ}[/tex]Part (a)A right angle is 90° and is represented by the ∟ symbol.
To find x, equal the sum of the angles to 90° and solve for x:
[tex]\implies m \angle 1+m\angle2=90^{\circ}[/tex]
[tex]\implies (3x)^{\circ}+(x+14)^{\circ}=90^{\circ}[/tex]
[tex]\implies 3x+x+14=90[/tex]
[tex]\implies 4x+14=90[/tex]
[tex]\implies 4x+14-14=90-14[/tex]
[tex]\implies 4x=76[/tex]
[tex]\implies 4x \div 4=76 \div 4[/tex]
[tex]\implies x=19[/tex]
Part (b)To find the degree measure of each angle, substitute the found value of x into the expression for each angle.
[tex]\implies m \angle 1=(3 \cdot 19)^{\circ}=57^{\circ}[/tex]
[tex]\implies m \angle 2=(19+14)^{\circ}=33^{\circ}[/tex]
Large numbers are those numbers that have a bigger value than the numbers that we use in daily life. such numbers tend to create a sense of fear among children and they often skip solving problems that have large numbers in them. for example, 1 million, 1 billion, etc., are large numbers that are used either to show the population of a country or express large amounts of money in a bank account.
These periods are named as ones, thousands, lakhs, and so on. The one's period consists of the first three digits of the large number, starting from the right.
Everyone learns how to count numbers at a very young age starting from a single digit up to seven digits. This is done with the help of the place value system.
While writing large numbers, we always keep the place value system in mind to ensure that it is written correctly. According to the Indian place-value system, when a number is written in the standard form, each group of digits separated by a comma is called a period.
These periods are named as ones, thousands, lakhs, and so on. The one's period consists of the first three digits of the large number, starting from the right. The thousands period consists of the next two digits. The lakhs period consists of the next two digits and it continues.
Some other large numbers are read and written as follows:
1,000,000,000 = one billion
1,000,000,000,000 = one thousand billion
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107 + 78 pls help will mark brainiest
Answer:
185
Step-by-step explanation:
Answer:
Step-by-step explanation:
100 + 70 = 170
7+8= 15
170+15 = 185
170 + 78 +185
april needs to rent a car while on vacation. the rental company charges $18.95, plus 16 cents for each mile driven. of april only has $40 to spend on the car rental, what is the maximum number of miles she can drive?
Answer:
Step-by-step explanation:
18.95+.16 = 19.11
answer is 2 miles is the maximum
F(x)= 2x^2-3x-9 G(x)= 4x^2-9 find (f/g) (x)
Answer:
(f/g)x = (x - 3)/(2x - 3). Step-by-step explanation: Try and see if f(x) can be factored. g(x) = (2x - 3) (2x + 3).
Step-by-step explanation:
Which is the angle measured in a horizontal circle around your horizon? ecliptic equator azimuth right ascension
Azimuth is the angle measured in a horizontal circle around your horizon.
In this question,
The horizon angle is the maximum upwind slope in wind exposure / sheltering studies.
A line from the center of the Earth which continues through the observer's body and the top of the observer's head. This line is zenith.
Azimuth is the coordinate direction that runs parallel to the horizon and rotates clockwise from north (0 degrees) to east (90 degrees) to south (180 degrees) to west (270 degrees) back to north (360 degrees).
The meridian is an imaginary North-South line running through the zenith.
Therefore, Azimuth is the angle measured in a horizontal circle around your horizon.
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Which trigonometric functions are undefined when = 0? (enter the abbreviation for each function. enter your answers as a comma-separated list. let (, ) be a point on the unit circle.)
The functions cosecant and cotangent are undefined when functions sine and tangent are equal to zero.
What trigonometric functions are undefined when the angle is zero?A function becomes undefined when its denominator becomes zero. In the case of trigonometric functions we know that both sine and tangent of 0° are equal to zero. In addtion, there are two following trigonometric formulas:
csc θ = 1 / sin θ
cot θ = 1 / tan θ
Thus, the functions cosecant and cotangent are undefined when functions sine and tangent are equal to zero.
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Find the equation in point-slope from of a line that has a slope of 1/2 and goes through the point (-4,1)
Answer:
kmskswwkwwekeke NM. smsskskks
A rectangular prism is 4units high,2wide,and 6 units long what is it's surface area in square units
Answer:
9514 1404 393
Step-by-step explanation:
Answer:
the area is 88
Step-by-step explanation:
2(wl+hl+hw) <- formula
two trains leave stations 560 miles apart at the same time and travel toward each other. one train travels at 95 miles per hour while the other travels at 105 miles per hour. how long will it take for the two trains to meet?
It will take 2 hours 48 minutes for the two trains to meet.
For given question,
Two trains leave stations 560 miles apart at the same time and travel toward each other.
One train travels at 95 miles per hour while the other travels at 105 miles per hour.
This means the speed one train is 95 mph while the speed of other train is 105 mph.
Let t be the time in hours for two trains to meet.
From given scenario,
⇒ 560 = (105 + 95)t
⇒ 560 = 200 t
⇒ t = 2.8 hours
1 hour = 60 minutes
So, 0.8 hours = 48 minutes
⇒ 2.8 hours = 2 hours 48 minutes
This means, both trains meet after 2 hours 48 minutes
Therefore, it will take 2 hours 48 minutes for the two trains to meet.
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what is a absoulte value?
Answer:
Absolute value is how many steps it takes to get to 0
Step-by-step explanation:
For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero
Answer:
The magnitude (true distance from zero) of a number or measurement, regardless of sign. Usually the true positive value of a number.
Examples:
|–6| = 6
|4| = 4
|200| = 200
|–5000| = 5000
|0.5| = 0.5
6. Розв'яжіть систему рівнянь способом додавання
79
Відповідь:
3x + 4y = -1,
-3x + 7y = 23.
Відповідь:
Answer:
x= -85/33 ; y=2
Step-by-step explanation:
The simultaneous equation first when we add the y vale become 2, y=2 then to get x value the first equation multipled by -7 & the second equation by 4 the we will gate x=-85/33
Mr. Zuro finds the mean height of all students in his statistics class to be inches. Just as mr. Zuro finishes explaining how to get the mean, danielle walks in late. Danielle is inches tall. What is the mean height of the students in the class?.
Mean height of the students in the class = 65.7 inches
The mean height of all 12 students in the class is 66.0 inches.
So the Total height of 12 students in the class = 66 × 12
= 792 inches
As Danielle's height = 62.1 inches
So the total height of 13 students = 792 + 62.1
= 854.1 inches
Mean of all 13 students in the class = 854.1 / 13
= 65.7 inches
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The complete question:
Mr. Zuro finds the mean height of all 12 students in his class to be 66.0 inches. Just as Mr. Zuro finishes explaining how to get the mean, Danielle walks in late. Danielle is 62.1 inches tall. What is the mean of the 13 students in the class?
6. The function R(x) = 2 + 3.5 represents the number of feet the tide moves x
minutes after 4 pm.
a. Find R(17) =
By substituting the value of x as 17 in the function R (x) = 2 x + 3.5, we get the value of R ( 17 ) as 37.5.
We are given a function:
R (x) = 2 x + 3.5
where x represents the number of feet the tide moves x minutes after 4 pm.
Now, we are asked to find R (17)
For this, we need to substitute the value of x as 17 that is we need to put x = 17 in the function that is given to us.
R ( x = 17 ) = 2 ( 17 ) + 3.5
R ( 17 ) = 34 + 3.5
R ( 17 ) =37.5
Therefore, by substituting the value of x as 17, we get the value of R ( 17 ) as 37.5.
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13 and 9 please help
Answer:
x>-4, x<=27.5
Step-by-step explanation:
First mark your digits on the number line. For question 9, it seems that x>-4, so mark that on your number line and draw an empty circle with an arrow pointing right.
For 13 multiply both sides by 5/4, and your answer is 27.5>=w. Mark it down with a filled in circle and an arrow going to the left.
Random groups of 30 teachers were asked the starting annual salary for their
first teaching job. The sampling variability was low. If the average salary of
several of the groups was close to $51,000, which of these is least likely to be
the average salary of another one of the groups?
If the average salary of several of the groups was close to $51,000 then least likely to be the average salary of another one of the groups are equal to $41,000.
Random groups of teachers are = 30
If the average salary of several of the groups was close to equal to = $51,000
The mean, or average, salary is the amount derived by adding two or more salary values and dividing the sum by the number of values.
So we can write,
The average wage is known to be close to $41,000
$41,000 < $51,000
Therefore,
The average salary of another one of the groups are equal to $41,000.
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a bus picks up a group of tourists at a hotel. the sightseeing bus travels 2 blocks north, 2 blocks east, 1 block south, 2 blocks east, and 1 block south. where is the bus in relation to the hotel?
According to the given statement East of the hotel, the bus is four blocks east away.
How can direction issues be fixed?It is one of the subjects covered on almost all admission tests. Logical and analytical abilities are required to address the issue's queries. Mastering the "Directions" topic will make learning about seating arrangements easier.
According to the given data:When a sightseeing bus picks up a group of visitors at a hotel and travels 2 blocks north, 2 blocks east, 1 block south, 2 blocks east, and 1 block south, the following calculation must be performed to establish where the bus is in respect to the hotel:
Northern and Southern, like East and West, are adversarial.2 N + 2 E - 1S + 2E - 1S2 N - 2S = 02E + 2 E = 4ETo know more about directions, visit:
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Evaluate the expression on top we have (4•3)^2 and on bottom we have 9+3
Answer:
12
Step-by-step explanation:
12² is 144/9+3 is 144/12
Answer: Raise 2 to the power of 3
9+3=12
Step-by-step explanation: hope this helps!!!!
SNOWFALL In February 2015, South Bend, Indiana , saw one of its snowiest Februarys on record. The snowfall in February 2015 was 0.6 inch more than twice the snowfall in February 2020. The snowfall in February 2015 was also 8.35 inches fewer than 2.5 times the snowfall in February 2020. Write and solve an equation to find the amount of snowfall in February 2015 and in February 2020 .
The amount of snowfall in February 2015 was 36.4 inches and the amount of snowfall in February 2020 was 17.9 inches
Solving system of equationsFrom the question, we are to determine the amount of snowfall in February 2015 and in February 2020
Let the amount of snowfall in February 2015 be x
and the amount of snowfall in February 2020 by y
From the given information,
"The snowfall in February 2015 was 0.6 inch more than twice the snowfall in February 2020"
That is,
x = 0.6 + 2y
Also, from the information
"The snowfall in February 2015 was also 8.35 inches fewer than 2.5 times the snowfall in February 2020"
x = 2.5y - 8.35
Now,
Solve the system of equations simultaneously
x = 0.6 + 2y -------- (1)
x = 2.5y - 8.35 -------- (2)
Equate equations (1) and (2)
0.6 + 2y = 2.5y - 8.35
0.6 + 8.35 = 2.5y - 2y
8.95 = 0.5y
y = 8.95/0.5
y = 17.9
Substitute the value of y into equation (1)
x = 0.6 + 2y
x = 0.6 + 2(17.9)
x = 0.6 + 35.8
x = 36.4
Hence, the amount of snowfall in February 2015 was 36.4 inches and the amount of snowfall in February 2020 was 17.9 inches
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(8x-9y=-13
(2x-3y = -7
Answer:
the answer is x=17,y=14/3
Answer:
x=4 y=5
Step-by-step explanation:
8x-9y=-13
2x-3y=-7
Solve for y:
Multiply the bottom by 4 to have the x's equal each other and cancel out:
8x-9y=-13
8x-12y=-28
Then subtract:
0x+3y=15
y=15/3 -> y=5
Solve for x:
Multiply the bottom by 3 to have the y's equal each other and cancel out:
8x-9y=-13
6x-9y=-21
Then subtract:
2x=8
x=4
Does the figure below appear to have line symmetry? If so, how many lines of symmetry?
Answer:
Yes
Step-by-step explanation:
Wouldn't there be 3? because lines of symmetry is basically two lines that look the same and are the same. so the points on the end counts as 2 since it's on opposite side, and the two lines in middle count as 1. So I am going with 3 symmetrical lines amount.