The second ordered pair using the terms in each sequence is B (6, 24).
THE SEQUENCE PAIRThe first rule says to add 4 to the first term of the ordered pair, starting from 2. So the first term of the second ordered pair would be 2+4 = 6.The second rule says to subtract 4 from the second term of the ordered pair, starting from 28. So the second term of the second ordered pair would be 28-4 = 24.
Therefore, the second ordered pair using the terms in each sequence is B (6, 24).
The third ordered pair using the terms in each sequence would be C (14,16) and the fourth ordered pair would be D (10,20)This is because:
C (14,16) can be obtained by adding 4 to first term of B(6,24) which is 6+4 = 10 and subtracting 4 from second term of B(6,24) which is 24-4=20.
D (10,20) can be obtained by adding 4 to first term of C(14,16) which is 14+4 = 18 and subtracting 4 from second term of C(14,16) which is 16-4=12.
So the sequence list of ordered pair would be:
First order: A (2,28)
Second order: B(6,24)
Third order: C (14,16) D (10,20)
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(iv)The ratio of 5m to 150cm is ________.
(x - 13)
155 solve for x
It equals 180 but I don’t know how to solve it
The solution of x in the given linear equation (x - 13 + 155 = 180) is equal to 38.
To solve the equation (x - 13 + 155 = 180), we need to pursue the following steps.
Step 1. Move all terms to the left:
⇒(x - 13 + 155 - (180)) = 0
Step 2. Add all the numbers jointly, and all the variables
⇒(x - 38) = 0
Step 3. Get rid of parentheses
⇒x - 38 = 0
Step 4. Transfer all terms including x to the left, and all other terms to the right
⇒x = 38
Hence, the required solution of x in the given linear equation (x - 13 + 155 = 180) is 38.
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Carolina is mowing lawns for a summer job.for every mowing job,she charges an initial fee plus $6 for each hour of work.her total fee for a 4-hour job,for instance is $32
The function Formula is, f(t) = 6t + 8.
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The collection of values that could result in a function's outputs is known as the co-domain.
Given:
Carolina charges an initial fee plus $6 for each hour of work
Her total fee for a 4-hour job = $32
So, if she work for 't' hours then linear equation will be of the form
f(t) = mt + b
Here m is the constant rate = 6
Now we plug in the values and find out b, m=6
f(t) = mt + b
32 = 6(4) + b
32= 24 + b
8 = b
So, the function is f(t) = 6 t+8.
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Which is the definition of a ray?
a part of a line that has one endpoint and extends indefinitely in one direction
the set of all points in a plane that are a given distance away from a given point
lines that lie in the same plane and do not intersect
a part of a line that has two endpoints
Definition of Ray:
'A part of a line that has one endpoint and extends indefinitely in one direction'.
The correct statement is A.
What is a ray?A ray is a part of the line having one fixed point and the other point does not have an end. It means that a ray has one terminating end and the other end is extending infinitely.
Given definitions of ray:
A. a part of a line that has one endpoint and extends indefinitely in one direction.
B. the set of all points in a plane that are a given distance away from a given point.
C. lines that lie in the same plane and do not intersect.
D. a part of a line that has two endpoints.
Only statement A satisfies the definition of ray.
Hence, the definition of ray is described by statement A.
A part of a line that has one endpoint and extends indefinitely in one direction.
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How is the logarithmic function y log x defined?
The logarithmic function y log x is defined as
[tex]$\log_b \text x = \text y \leftrightarrow \text b^y= \text x[/tex].
What is logarithmic function?An exponent that is expressed in a unique way is called a logarithm. As an illustration, we are confident that the exponential formula 32 = 9 is correct. In this instance, the base is 3, and the exponent is 2. The formula will be written as log3 9 = 2 in the logarithmic form.
This is expressed as "9 divided by base 3 is 2" in words. The exponent has been effectively lowered to the mainline in this case. However, despite the fact that this was done to make division and multiplication easier, logarithms are still very useful in mathematics.
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Can I get help in number 6?
Answer:
Trim A
Inches = 36
Feet = 3
Yards = 1
Trim B
Inches = 216
Feet = 18
Yards = 6
ind the general solution of the given differential equation. dr / d theta + r sec theta = cos theta
r = ___
r = (sin theta + C)^(-1) where C is an arbitrary constant of integration.
Any equation with at least one ordinary or partial derivative of an unknown function is referred to as a differential equation. Assuming that a function's rate of change with regard to x is inversely proportional to y, we may write it down as dy/dx = k/y.
r = (cos(theta) - d/d(theta) of sec(theta)) / sec(theta)
The differential equation assists us in presenting a relationship between the changing quantity with respect to the change in another variable. The derivative represents nothing more than a rate of change. Be a function with the form: y=f(x), where x is an independent variable, f is an unknown function.
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Are 5x and 5 like terms?
The statement given here is true as 5x and 5 are like terms.
This is because like terms have the variables of same degree . Therefore, 5x and x are like terms as both of them have x to the power 1 , which means both are of degree 1.
Like terms differs from the unlike terms only in case of numerical component. By summing the coefficients of like terms , similar phrases can be regrouped. Like terms in a polynomial equation are those terms that have the same variables and these variables have the same powers, but with different coefficients.
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express √832 in the form 4n where n is the integral
We can express √832 as 4(2√13).
What is definite integral?A definite integral of a function can be represented as the signed area of the region bounded by its graph.
Given is the root of 832 or √832.
Assume that {4n} is equal to {y}. So, we can write -
y = 4n
Squaring both sides, we get -
y² = (4n)² = (√832)²
y² = 16n² = 832
16n² = 832
n² = (832/16)
n² = 52
n = √52
n = 2√13
So, we can write (√832) as 4(2√13).
Therefore, we can express √832 as 4(2√13).
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A ship travels 50 km on a bearing of 27°, and then travels on a bearing of 117° for 140 km. Find the distance traveled from the starting point to the ending point
The distance traveled from the starting point to the ending point is 30.35 km.
What is a bearing?
A bearing tracks the rotation of an angle around the north line in a clockwise fashion. The line connecting the compass's centre to a location and measuring its bearing in degrees as it moves clockwise from north is known as the bearing.
The ship travels 50 km on a bearing of 27°, and then travels on a bearing of 117° for 140 km.
The x-coordinate of the final point is -
50 cos (27°) + 140 cos (117°) = -19
The y-coordinate of the final point is -
50 sin (27°) + 140 sin (117°) = 23.67
The distance from (0,0) to the final point is as follows -
d = √(-19)^2+(23.6)^2)
= √(921.27)
= 30.35 km
Therefore, the distance traveled is 30.35 km.
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Finding the zeros of each function of factoring: g(x)=2x^2 +x-10
Answer:
The zeros are -2.5 and 2.
Step-by-step explanation:
2x^2 +x-10 = 0
2x^2 - 4x + 5x - 10 = 0
2x(x - 2) + 5(x - 2) = 0
(2x + 5)(x - 2) = 0
2x + 5 = 0 gives x = -2.5.
x - 2 = 0 gives x = 2.
A circular sector has an 8.26-inch radius and a 12.84-inch arc length. There is another sector that has the same area and the same perimeter. What are its measurements
The dimensions of a different sector with the same area and perimeter are An alternative sector's radius is 6.42 inches. An alternative sector has an arc length of 16.52 inches.
What does an arc's length signify?The distance between two places along a segment of a curve is known as the arc length.
Sector radius, r = 8.26 inches
Sector arc length = 12.84 inches
Sector perimeter = 2r + length of the arc
The specified sector's perimeter is equal to 2 x 8.26 x 12.84 x 29.36 inches.
The circle's circumference is 2 + 8.26 + 16.52.
The specified circle's area is A = 8.262 * 68.2276.
Sector area, A = 53.0292 inch2
Consequently, we have;
2R plus A equals 29.36 inches
A·R = 53.0292 × 2
that provides;
R² + 53.0292 = 14.68·R
R² - 14.68·R + 53.0292 = 0
using a graphing calculator to factor yields;
(R - 6.42)·(R - 8.26) = 0
R = 6.42 or R = 8.26
R = 8.26 is the measurement for the first sector.
Due to the distinctions between the sectors, we have;
R = 6.42 inches is the radius of the other sector.
The length of the arc, A = 29.36 - 2R
∴ A = 29.36 - 2 × 6.42 = 16.52
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convert 11.011 to a base 10 number
Multiply each digit by its corresponding place value and add the results: 11 + 0.011
11.011 = 11 + 0.011 = 11.011
How to covert binary number to decimal number?Once the bits of the binary number have been multiplied by the corresponding positional weights, the binary number can then be converted into its corresponding decimal number by adding the resulting products.
To convert a number in base 2 (binary), base 8 (octal) or base 16 (hexadecimal) to a base 10 (decimal) number, you can use the following method:
Write the number in base 2, 8, or 16 and the corresponding base 10 place values.
Multiply each digit by its corresponding place value and add the results.
For example, to convert the base 10 number 11.011 to a base 10 number:
Write the number and the corresponding base 10 place values: 11.011
Multiply each digit by its corresponding place value and add the results: 11 + 0.011
11.011 = 11 + 0.011 = 11.011
As the number is already in base 10, it does not need to be converted. The value is 11.011
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a car travels at a constant speed.what does the gradient of a distance-time graph of the car's journey represent?distance the car travelled, the area under the graph,the speed of the car, the acceleration of the car
the speed of the car
=========================================================
Reason:
The term "gradient" is the same as "slope".
Recall that slope = rise/run = (change in y)/(change in x).
The change in y represents how far you travel, as the distance is along the vertical axis. The change in x is the time duration.
Then,
speed = distance/time
which helps show the slope of this distance-time graph is the speed of the car. The steeper the slope, the faster the car.
-------------
An example:
The equation y = 50x has slope 50. The x is the time and y is the distance traveled.
At time x = 0 hours, you have traveled y = 0 miles.
At time x = 1 hour, you have traveled y = 50 miles.
The two points (0,0) and (1,50) are on this line. Use the slope formula to get a slope of 50, which represents the speed of the car in miles per hour (mph). Or note that y = 50x is in the form y = mx+b
m = slope = 50
b = y intercept = 0
What is equivalent to 4 6?
The fraction which is equivalent to 4/6 is 8/12 as asked in the question.
2 x 4 = 8 and
3 x 4 = 12
Therefore, they satisfies the condition of an equivalent numbers.
Equivalent numbers are those which on reducing to it's lowest terms gives the same number.
Other example , 2/4 is equivalent number to 8/16 .
Equivalent fractions are those fractions which has different numerators and denominators but the same value when reduced to their lowest terms. For, example 2/4 and 3/6 are comparable fractions because they both equal 12.
A fraction is a portion of a number written in terms of numerator and denominator. Equivalent fractions represent the same percentage of the whole.
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4/9 down on a number line
Answer:
Step-by-step explanation:
!:}
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0 1/9 2/9 3/9 4/9 5/9 6/9 7/9 8/9 9/9
find the slope. please help
Describe how the graph might be misleading. Then explain how someone might misinterpret the graph…
Answer For Both Graphs And 25 Points!!!
Answer: 1. The first graph has the x and y axis values as minutes and frequency, but the title is bicycling.
2. it's a dotted graph, which doesn't give enough information since that graph does not have to be linear, but when you have a graph like that you want a line graph.
Answer:
the other dude answered it better than i did
Step-by-step explanation:
Select the correct answer.
The class sizes of the Introductory Psychology courses at a college are shown below.
121, 134, 106, 93, 149, 130, 119, 128
The college adds a new Honors Introductory Psychology course with 45 students. What effect does the new class size have on the center and spread of the class sizes of the Introductory Psychology courses at the college?
A. The value of the center increases and the distribution has a larger spread.
B. The value of the center decreases and the distribution has a smaller spread.
C. The value of the center decreases and the distribution has a larger spread.
D. The value of the center increases and the distribution has a smaller spread.
Center : Mean Before the introduction of the new course, center = average(121,134,106,93,149,130,119,128) = 122.5 After the introduction of the new course, center = average(121,134,106,93,149,130,119,128,45) = 113.9 The center has moved to the left (if plotted in a graph) because of the low intake for the new course. Spread before introduction of the new course : Arrange the numbers in ascending order: (93, 106,119, 121), (128, 130,134, 149) Q1=median(93,106,119,121) = 112.5 Q3=median(128,130,134,149) = 132 Spread = Interquartile range = Q3-Q1 = 19.5 After addition of the new course,
(45,93, 106,119,) 121, (128, 130,134, 149)
Q1=median(45,93,106,119)=99.5
Q3=median (128, 130,134, 149)= 132
Spread = Interquartile range = 132-99.5 =32.5
We see that the spread has increased after the addition of the new course.
A school administrator wants to know what proportion of teachers in their state have a Master's degree. The administrator takes an SRS of 100100100 teachers from a statewide database containing every teacher, and they find 555555 teachers in the sample have a Master's degree. The administrator wants to use this data to construct a one-sample zzz interval for a proportion.Which conditions for constructing this confidence interval did their sample meet
When we construct the confidence interval their sample must have some conditions which are as follows,
The data should be a random sample from the population of interest.np^ ≥ 10 n(1 - p^) ≥ 10Individual observations can be taken as independent.Therefore , these are the conditions which the administrator should use to construct a one-sample z interval for a proportion.
When two ratios are equivalent to each other , they are said to be in a state called proportion. The proportion formula is used to see whether the given ratios or fractions are equal or not . The proportion formula can be given as, The product of means is equal to the the product of extremes. This can be written as ad = bc.
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In a certain year, 31% of adults in a certain country viewed college education as essential for success. For the following ten-year period, this percentage increased by approximately 2. 6 each year.
The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by __
The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by the function P(x) = 31 + 2.6x.
What is the percentage function?
To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100. Percentage formula = (Value/Total value) × 100. Example: 2/5 × 100 = 0.4 × 100 = 40 per cent.
The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by the function:
P(x) = 31 + 2.6x
Where P(x) is the percentage of adults who viewed college education as essential for success x years after the first year, and x is the number of years after the first year.
The function shows that the percentage increase by 2.6 every year for x years after the first year, and the initial percentage is 31%.
This function is representing a linear trend since the coefficient of x is constant.
Hence, The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by the function P(x) = 31 + 2.6x.
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3. Tell whether the set of ordered pairs {(3, 2), (4, 3), (5, 4), (6, 5)} satisfies a linear function. Explain.
a. No; there is no constant change in x that corresponds to a constant change in y.
b.
No; there is a constant change in x that corresponds to a constant change in y.
Yes; there is a constant change in x that corresponds to a constant change in y.dd T
Yes; there is no constant change in x that corresponds to a constant change in y.
d.
Find the x and
conto
The given set of ordered pairs does not satisfy a linear function.
What is a linear function?A linear function is one that, when plotted, forms a straight line. Therefore, non-linear functions are all non-linear functions. We can discern if a function is linear or non-linear from its input/output table or equation, but graphing may be the quickest way to do it.
Given:
The given set of ordered pairs is:
{(3, 2), (4, 3), (5, 4), (6, 5)}
To find:
Whether the given set of ordered pairs satisfies a linear function or not.
Explanation:
The slope of a linear function is:
m = (y₂ - y₁)/ (x₂ -x₁)
The slope of the linear function passes through the points and is:
m₁ = (3-1)/(3-1)
m₁ = 2/2
m₁ = 1
The slope of the linear function passes through the points and is:
m₂ = (9-3)/(5-3)
m₂ = 6/2
m₂ = 3
Therefore m₁ ≠ m₂ therefore the given set of ordered pairs does not satisfy a linear function.
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Is it appropriate to identify values on this graph that are between or beyond the plotted points? Explain.
Note that It is not a good idea to guess what a value on a graph might be if it is beyond the points that are already plotted. The reason for this is that the guess might not be accurate. Generally, it is better to stay within the defined data limits.
What is a graph?In mathematics, a graph is defined as a graphical representation or diagram that organizes facts or values. The graph's points frequently reflect the relationship between two or more objects.
Because they display information quickly and readily, graphs and charts are powerful visual aids. It's no surprise that graphs are widely utilized in print and electronic media. Data can often be easier understood when displayed as a graph rather than a table since the graph might illustrate a pattern or comparison.
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Help please with this maths
The radius of the sphere is 9 centimeters.
What is the surface area of a sphere?The area of the outer surface of a sphere is the surface area of a sphere.
And its formula:
The surface area of the sphere is 4πr².
Where r is the radius of the sphere.
Given:
The surface area of the sphere is 4πr².
Where r is the radius of the sphere.
So,
surface area of the sphere = 4πr²
324π cm² = 4πr²
Simplifying,
r² = 324π/4π
r² = 324/4
r² = 81
r = 9
Therefore, the radius is 9 centimeters.
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I need the answer to this question please!
5 * root(x ^ 2, 3) is the equivalent expression.
Why do roots grow in numbers?Simply multiplying the radicands and placing the result behind the radical sign is all that is required to multiply two square roots. The square root of the product of the radicands, in other words, is equal to the product of two square roots.
Only if the numbers under the radical sign are equal can you add or subtract square roots themselves. The original number will still be in the radical sign after adding or subtracting the coefficients (numbers in front of the radical sign). Implement the suggested action.
5 * root(x ^ 2, 3) is the equivalent expression.
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On average a bird visits 950 flowers per day for nectar how many flowers does the bird visit in an hour Round your answer to the nearest whole flower. B how many flowers does the bird visit in a year
So, the bird visits 40 flowers per hour and approximately 347,750 flowers per year.
A. On average, a bird visits 950 flowers per day. To find the number of flowers visited per hour, we divide 950 by 24 (the number of hours in a day). This gives us approximately 39.58 flowers per hour. Rounded to the nearest whole flower, the bird visits 40 flowers per hour.
B. To find the number of flowers visited in a year, we multiply the number of flowers visited per day (950) by the number of days in a year (365). This gives us approximately 347,750 flowers visited per year.
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A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high. Which box has the greater lateral surface area and by how much
On solving the provided question, we can say that So, the total surface area of cuboid is larger by (610 — 600 = IO) cm2
what is cuboid?A cuboid is a solid or three-dimensional form in geometry. A cuboid is a convex polyhedron having 8 vertices, 12 sides, and 6 rectangular faces. Another name for a cuboid is a cuboid. A cube is a cuboid with six square faces. Boxes include things like books and bricks. The following are the key variations between cubic and cubic: In contrast to a cube, which has rectangular faces, a cube has six equally sized square faces. Even though the cube and cuboid structures have a similar appearance, they differ in some ways in terms of side length, diagonal, and area.
(Lateral surface area of cube = 4edge2
lateral surface area of cuboid =2h (l + b)
[tex]2 x 8(12.5+ 10)\\= 16 x 22.5\\= 360\\[/tex]
lateral surface area of the cube is larger by (400
- 360
= 40)cm2
Total surface area of cube = 6edge2
= 600
lateral surface area of cuboid
[tex]=2 (lb + bh + hl)\\2(12.5 x 10+ x 8+8 x 12.5)\\= 2 (125 + 80 + 100)\\= 610[/tex]
So, the total surface area of cuboid is larger by (610 — 600 = IO) cm2
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Which of the following are the factors of the equation x 2 3x − 4 0?
(A) (x+4)(x-1)=0 is the proper factors form of the given equation x²+3x-4=0.
What are the factors?A factor is a number that completely divides another number.
To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.
So, we have the equation:
x²+ 3x - 4 = 0
By dividing the center term, this quadratic equation can be reduced to its simplest form.
The result of dividing the middle word is:
x² + 4x - x - 4 = 0
One way to spell it is as:
x (x + 4) - 1 (x + 4) = 0
Now, we obtain:
(x + 4) (x - 1) = 0
Therefore, (A) (x+4)(x-1)=0 is the proper factors form of the given equation x²+3x-4=0.
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Correct question:
Which of the following is the correct factored form of the given equation x2+ 3x - 4 = 0?
(A) (x +4) (x - 1) = 0
(B) (x - 4) (x - 1) = 0
(C) (x - 4) (x +1)= 0
1. What is the unit of measurement for speed using the metric system?
Answer:
meter per second(m/s)
Answer:
Hey there! The metric system has a unit called meters per second for measuring speed. It's abbreviated as m/s and it's used to measure how far something travels in a certain amount of time. For example, if something goes 50 meters in 10 seconds, its speed would be 50 m/s / 10 s = 5 m/s. There are other units for measuring speed too, like kilometers per hour (km/h) and centimeters per second (cm/s). It just depends on what you're measuring and how precise you need to be.
________________________________________________________
How do things like distance and time affect the speed of an object?Well, speed is all about how far something goes in a certain amount of time. So if you increase the distance traveled or decrease the time it takes to travel that distance, the speed will increase. On the other hand, if you decrease the distance traveled or increase the time it takes to travel that distance, the speed will decrease.
Why is it important to measure and calculate speed in certain situations?There are all sorts of situations where knowing the speed of something is important. For example, if you're driving a car, it's important to know how fast you're going so you can stay safe and follow the speed limits. In sports, measuring speed can help coaches and players improve their performance. And in science, measuring the speed of light or other phenomena can help us better understand the world around us. So as you can see, speed is a pretty important concept!
Item 9
Use the table to write a proportion. Game 1 6 penelties 16 minutes game 2 8 penelties m minutes how many minutes and what is a proportion
The value of the minutes in the game 2 is 3 and the proportion is 8/3.
As per the question,
Game 1 has, 6 penalties in 16 minutes and Game 2 has 8 penalties in m minutes.
Now, we have to form a proportion,
A proportion is a fractional relation between any two quantities.
So, if we say that the penalties in every game are in proportion, we write a proportion of penalties per minute.
6/16 = 8/m
m = 6x8/16
m = 3
So, the penalties in the game 2 are 3 and the proportion is 8/3.
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