The circumference of the circle is 25.12 inches
How to determine the circumference?From the question, we have the following parameters that can be used in our computation:
Radius = 4 inches
The circumference of a circle can be calculated using
C = 2πr
Substitute the known values in the above equation, so, we have the following representation
C = 2 * 3.14 * 4
Evaluate
C = 25.12
Hence, the circumference is 25.12 inches
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IM GIVING BRAINLIEST!!PLEASE HELP!!I PROMISE!!
Answer:
i think it's b sorry if it's wrong
Step-by-step explanation:
Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 35 problems. Each problem is worth either 5 points or 2 points. How can you set up a system of equations to find how many problems of each point value are on the test?
Let x = the number of questions worth 5 points.
Let y = the number of questions worth 2 points.
Answer:
answer in picture
Step-by-step explanation:
The number of questions worth 5 points are 10 and the number of questions worth 2 points are 25.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that, the test, which is worth 100 points, has 35 problems.
Let x = the number of questions worth 5 points.
Let y = the number of questions worth 2 points.
Now, x+y=35 ---------(I)
Each problem is worth either 5 points or 2 points.
5x+2y=100 ---------(II)
From equation (I), we have x=35-y
Substitute, x=35-y in equation (II), we get
5(35-y)+2y=100
175-5y+2y=100
3y=75
y=25
Substitute y=25 in equation (I), we get
x+y=35
x=10
Therefore, the number of questions worth 5 points are 10 and the number of questions worth 2 points are 25.
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Un terreno de forma rectangular tiene un lado que mide 4 874 m y el otro lado mide 876 m determinar su área
La respuesta es 4269624
Explicación paso a paso:
Simplemente multiplique 4874 por 876 y obtendrá una respuesta de 4269624
Espero que esto te ayude
Qué tengas un lindo día
The general form of the solutions of the recurrnce relation with the following characteristic equation is:
(r-1)(r-4)=0
A. an=a1(1)n-a2(4)n
B. None of the above
C. an=a1(-1)n+a2(4)n
D. an=a1(-1)n+a2(-4)n
The characteristic equation for the recurrence relation is (r-1)(r-4)=0. This equation has two roots:
r=1 and r=4. Therefore, the general form of the solution is an = a1(1)n + a2(4)n. Therefore, the correct answer is A.
The recurrence relation can be written as an = an-1 + 4an-2. Substituting the general form of the solution into th
is equation, we get a1(1)n + a2(4)n = a1(1)n-1 + a2(4)n-1 + 4a1(1)n-2 + 4a2(4)n-2. Dividing both sides by 4n-2, we get (a1/4)(1)n-2 + a2(1)n-2 = (a1/4)(1)n-3 + a2(4)n-3 + a1(1)n-4 + a2(4)n-4. This equation holds for all n. Therefore, equating coefficients of like terms, we get a1/4 = a1/4, a2 = 4a2, a1 = a1/4, and a2 = 4a2. Solving these equations, we get a1 = a1/4 and a2 = 4a2.
Therfore, the general form of the solution is an = a1(1)n + a2(4)n.
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The general form of the solutions of the recurring relation with the following characteristic equation is ( an=a1(1)n-a2(4)n.
The general form of the solutions of the recurrence relation with the characteristic equation (r-1)(r-4)=0 is a linear combination of the form an=a1(1)n+a2(4)n, where a1 and a2 are constants determined by the initial conditions of the recurrence relation.
This can be seen by factoring the characteristic equation into two linear factors: r-1=0 and r-4=0, which correspond to the two possible roots of the characteristic equation.
The solution to the recurrence relation is a linear combination of these two roots raised to the power of n, with the coefficients determined by the initial values of the sequence.
Therefore, the correct answer is A.
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evaluate: 3 x 4 - 7 =
Given:
\(3\times4-7=12-7=5\)Answer: 5
What does it mean when you write your measurement as the mean ± standard deviation? (i.e., how much of the data fall within this range?)
When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.
When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. When you add the standard deviation to the mean and also subtract the standard deviation from the mean, you get the upper and lower bounds of the range that contains about 68% of the data. This range is called one standard deviation.The value of the standard deviation indicates how much the data varies around the mean. If the standard deviation is high, then the data is widely spread out and vice versa. Additionally, when you write a measurement as the mean ± standard deviation, it is assumed that the data is normally distributed. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.
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Please help me with this, I need to find the missing angle of both of the triangles. Thank you. :))
solve 5 - 2y = 12
what is y
There are 8 fluid ounces in one cup. If you amount of fluid ounces, will the amount of cups also double? Write an argument that can be used to defend your solution.
If you double the amount of fluid ounces, then the amount of cups will double as well. This is a true statement.
Consider the statement "there are 8 fluid ounces in one cup" to be written as the equation
8 fluid ounces = 1 cup
We can multiply both sides by 2 to get
16 fluid ounces = 2 cups
We must multiply both sides by the same number to keep the equation the same (keep things balanced).
Please show your work.
x=6.928 if rounded to the nearest thousandth
I posted a picture of my work to find this answer
Hope this Helped
The total cost of the dinner is found by adding the two prices together. Then this sum is multiplied by 1.05, which is 100% + 5%, to get a cost of $11.72.
Answer:
2( 4 + 2X) = 3x + 4
8 + 4x = 3x + 4
8 + 4x - 3x - 4 = 0
x + 4 = 0
x = -4
Step-by-step explanation:
let f be a function that is continuous on the closed interval 2 4 with f(2)=10 and f(4)=20
There exists a value c in the interval (2, 4) such that f(c) = 15.
Given that f is a function that is continuous on the closed interval [2, 4] and f(2) = 10 and f(4) = 20, we can use the Intermediate Value Theorem to show that there exists a value c in the interval (2, 4) such that f(c) = 15.
The Intermediate Value Theorem states that if a function f is continuous on a closed interval [a, b], and if M is any value between f(a) and f(b) (inclusive), then there exists at least one value c in the interval (a, b) such that f(c) = M.
In this case, f(2) = 10 and f(4) = 20, and we are interested in finding a value c such that f(c) = 15, which is between f(2) and f(4). Since f is continuous on the interval [2, 4], the Intermediate Value Theorem guarantees that such a value c exists.
Therefore, there exists a value c in the interval (2, 4) such that f(c) = 15.
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Katy bicycles 4.6 miles west to get from her house to school. After school, she bicycles 6.7 miles north to her friend Camilla's house. How far is Katy's house from Camilla's house, measured in a straight line? If necessary, round to the nearest tenth.
Katy's house is about 8.1 miles from Camilla's house, measured in a straight line.
How do we calculate?we apply the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Using the Pythagorean theorem, we have:
H^2 = west distance^2 + north distance^2
H^2 = 4.6^2 + 6.7^2
H^2 = 21.16 + 44.89
He^2 = 66.05
We take the square root of both sides, we get:
hypotenuse = 8.13
We then can say that Katy's house is about 8.1 miles from Camilla's house, measured in a straight line.
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help me please!!!!!
a parabola is shown below. its vertex and another point on the parabola are labeled. write an equation of the parabola. (- 1, 4); (- 4, - 2)
The equation of the parabola can be written as\(y = -x^2 + 3x + 3\). To find the equation of a parabola, we need to use the general form of a quadratic equation,\(y = ax^2 + bx + c\), where a, b, and c are constants.
Given the vertex (-1, 4) and another point on the parabola (-4, -2), we can substitute these coordinates into the equation to form a system of equations.
Using the vertex form of the equation, we have:
\(4 = a(-1)^2 + b(-1) + c\) ... (1)
Substituting the coordinates of the other point:
\(-2 = a(-4)^2 + b(-4) + c\) ... (2)
Simplifying equations (1) and (2), we get:
4 = a - b + c ... (3)
-2 = 16a - 4b + c ... (4)
Next, we can solve the system of equations (3) and (4) to find the values of a, b, and c. Subtracting equation (4) from equation (3), we eliminate the constant term c and obtain:
6 = -15a + 3b ... (5)
We can now solve equations (5) and (4) simultaneously to find the values of a and b. By substituting these values into equation (3), we can determine the constant term c. Solving the system of equations, we find a = -1, b = 3, and c = 3.
Thus, the equation of the parabola is \(y = -x^2 + 3x + 3\).
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Subtract 7x^2 - 5x from 10x + 2. Answer in standard form.
(7x-1)times(x-2)
Step-by-step explanation:
Hey there!
ANSWER: \(-7x^2+10x+2\)EXPLANATION:Let's simplify.
\(10x+2-7x^2\)
\(10x^2+10x+2\)
The answer we get is \(-7x^2+10x+2\).
Hope this helps! :)
\(\text{-TestedHyperr}\)
Review the graph of f(x). What is the function’s behavior close to the vertical asymptote x = 2? Limit of f (x) as x approaches 2 minus = infinity and limit of f (x) as x approaches 2 plus = infinity Limit of f (x) as x approaches 2 minus = infinity and limit of f (x) as x approaches 2 plus = negative infinity Limit of f (x) as x approaches 2 minus = negative infinity and limit of f (x) as x approaches 2 plus = infinity
The function's behavior at vertical asymptote x = 2 is (b) \(\mathbf{ \lim_{x \to 2^-} f(x) = \infty\ and \ \lim_{x \to 2^+} f(x) = -\infty}\)
How to determine the function's behavior?The attached graph represents the missing information in the question.
From the attached graph, we have the following highlights:
At x = 2, a curve points upwardAt x = -2, another curve points downwardThis means that the limit of f(x) approaches negative infinity and positive infinity at this value of x
Hence, the function's behavior is (b) \(\mathbf{ \lim_{x \to 2^-} f(x) = \infty\ and \ \lim_{x \to 2^+} f(x) = -\infty}\)
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Apples are 88 cents a pound if I have $6 how many pounds of apples can I buy with the $6 round to the nearest whole pound
Answer:
7 lbs
Step-by-step explanation:
Answer:
You can buy about 7 pounds of apples.
Step-by-step explanation:
Since we're dealing with cents, we'll change 88 to 0.88 so we can solve.
I personally did 0.88p = 6, where p = pounds, and then I divided 0.88 on both sides.
Of course you could just divide normally,
6 ÷ 0.88, either way it equals 6.81 repeating.
When you round that up, it will equal to 7.
Hope this helps :)
You are standing on a ledge and throw a ball from 10 feet above the ground. The speed the ball leaves your hand is 16 feet per second and the acceleration of gravity is -16 feet per second squared.
1. How many seconds does it take to reach the highest point (vertex)?
The ball reached its maximum height at a time of 1 second.
How many time is needed for the ball to reach its maximum height?
In this problem we have the case of a ball that experiments a free fall, that is, a case of an uniform accelerated motion due to gravity. The position of the ball as a function of time is represented by a quadratic equation:
y' = y + v · t + 0.5 · g · t²
Where:
y - Initial position, in feet.v - Initial velocity, in feet per second.t - Time, in seconds.g - Gravitational acceleration, in feet per square second.And to determine the time related to the highest point, we need to rearrange the expression into its standard form:
y' - k = C · (t - h)²
Where:
(h, k) - Coordinates of the vertex.C - Vertex constantFirst, write the quadratic equation:
y' = y + v · t + 0.5 · g · t²
y' = 10 + 16 · t - 8 · t²
Second, complete the square until the standard form is found:
y' - 10 = 16 · t - 8 · t²
y' - 10 = - 8 · (t² - 2 · t)
y' - 18 = - 8 · (t² - 2 · t + 1)
y' - 18 = - 8 · (t - 1)²
The ball takes a time of 1 second to reach its maximum height.
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A sapling tree is 30 inches tall when it is planted. It will grow 2 inches each year. Write a function that shows the relationship between the age
of the tree in years (x) and the height (y)
The sapling tree is 30 inches tall when planted and it grows 2 inches each year. Let y be the height of the tree in inches and x be the age of the tree in years.
Since the tree grows 2 inches each year, the height y of the tree in x years can be represented as:y = 30 + 2xThe function that shows the relationship between the age of the tree in years (x) and the height (y) is y = 30 + 2x.The answer is y = 30 + 2x.
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How do you make a graph compare two sets of data?
There are several ways to make a graph to compare two sets of data, but one common method is to use a line graph.
The steps to create a line graph to compare two sets of data:
Organize the data: Arrange the data into two columns, one for each set of data. Each column should have a label at the top to indicate what the data represents.
Choose a scale: Decide on an appropriate scale for the x- and y-axes that will allow you to clearly display the data. The x-axis should represent the categories being compared, and the y-axis should represent the values of the data.
Plot the data: Using the chosen scale, plot the data points for each set of data on the graph. Use different colors or symbols for each set of data to make it easy to distinguish between the two.
Add a title: Give the graph a title that describes what the graph is showing.
Add a legend: Add a legend to the graph to indicate what each set of data represents.
Add labels: Label the x- and y-axes to indicate what they represent.
By following these steps, you can create a clear and informative line graph that allows you to easily compare two sets of data.
Other types of graph that can be used to compare two sets of data are bar charts, scatter plots, and stacked bar charts. The choice of graph depends on the type of data you have, and what you want to compare or highlight.
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Which expression is equivalent to 9 x squared minus 2 y + 3 x squared minus 3 y? 6 x squared minus y + 6 x squared minus 5 y 6 x squared minus y + 3 x squared minus 4 y 10 x squared minus 4 y + 2 x squared minus y 11 x squared + 2 y + x squared minus 3 y
Answer:
10 x squared minus 4 y + 2 x squared minus y
Step-by-step explanation:
9x^2-2y+3x^2-3y
Collect like terms
9x^2+3x^2-2y-3y
=12x^2-5y
10 x squared minus 4 y + 2 x squared minus y
10x^2-4y+2x^2-y
Collect like terms
10x^2+2x^2-4y-y
=12x^2-5y
9x^2-2y+3x^2-3y is equivalent to
10x^2-4y+2x^2-y
Check all the options
6 x squared minus y + 6 x squared minus 5 y
6x^2-y+6x2-5y
12x^2-6y
6 x squared minus y + 3 x squared minus 4 y
6x^2-y+3x^2-4y
9x^2-5y
10 x squared minus 4 y + 2 x squared minus y
10x^2-4y+2x^2-y
12x^2-5y
11 x squared + 2 y + x squared minus 3 y
11x^2+2y+x^2-3y
12x^2-y
Answer:
C.) 12x squared- 2y- 3y
Step-by-step explanation:
i'm not 100 percent on this but it is the only logical answer, i will comment if i am right or not :) good luck luvs
Macie and Seth built sandcastles at the beach. Macie's
sandcastle was 220 cm tall but the wind is blowing away
sand at a rate of 4.8 cm per minute. Seth's sandcastle is 132
cm tall and he is adding sand to it at a rate of 6.2 cm per
minute.
I guess that we want to know when both sandcastles will have the same height. We will see that the castles will have the same height after 8 minutes.
We know that Macie sandcastle height is equal to 220cm and wind blows away sand at a rate of 4.8cm per minute, then the height equation is:
M(t) = 220cm - 4.8cm*t
Where t is time in minutes.
While Seth's sandcastle has an initial height of 132cm and its height increases at a rate of 6.2 cm per minute, then the equation is:
S(t) = 132cm + 6.2cm*t
The castles will have the same height when:
M(t) = S(t)
220cm - 4.8cm*t = 132cm + 6.2cm*t
220cm - 132cm = 6.2cm*t + 4.8cm*t
88cm = 11cm*t
88cm/11cm = t = 8
This means that the castles will have the same height after 8 minutes.
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find and sketch the domain of the function. f(x,y)= sqrt (y) + sqrt [25-(x^2)-(y^2)]
The domain of the function is a semicircle with a radius of 5 and centered at the origin, where y is non-negative.
The domain of a function is the set of all possible input values for which the function is defined. In this case, the function is defined as:
\(f(x,y) = \sqrt{y} + \sqrt{[25 - x^2 - y^2} ]\)
To find the domain of this function, we need to determine the values of x and y that would result in the function producing a real-valued output.
For the square root of y to be real, y must be non-negative. That is, y ≥ 0.
For the square root of [\(25 - x^2 - y^2\)] to be real, we must have:
\(25 - x^2 - y^2 \geq 0\\x^2 + y^2 \leq 25\)
This is the equation of a circle with radius 5 centered at the origin. Therefore, the domain of the function is the set of all points (x, y) that lie inside or on this circle and have y ≥ 0.
In interval notation, we can write:
Domain: {(x, y) |\(x^2 + y^2 \leq 25, y \geq 0\)}
To sketch the domain, we can plot the circle with radius 5 centered at the origin and shade the region above the x-axis. This represents all the valid input values for the function. The boundary of the domain is the circle, and the domain includes all points inside the circle and on the circle itself, but not outside the circle.
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How many distinct license plates can be issued consisting of one letter followed by a three-digit number
There are 26,000 distinct license plates that can be issued consisting of one letter followed by a three-digit number.
To find the number of distinct license plates that can be issued consisting of one letter followed by a three-digit number, we need to consider the number of possibilities for each element of the license plate.
For the first element, there are 26 possible letters in the alphabet (assuming only English letters are used).
For the second element, there are 10 possible digits (0 to 9) that can be used.
For the third element, there are also 10 possible digits that can be used.
For the fourth element, there are again 10 possible digits that can be used.
Therefore, to find the total number of distinct license plates, we need to multiply the number of possibilities for each element:
26 × 10 × 10 × 10 = 26,000
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Estimate 22,752 divdided by 18 , I'm doing a lot tonight, have 10 assesments due tom
Answer:
1264
Step-by-step explanation:
is the answer...........
Define the nonprobability sampling methods and give examples of each.
Sampling is the use of a subset of the population to represent the whole population or to inform about processes that are meaningful beyond the particular cases, individuals or sites studied.
In non-probability sampling, the sample is selected based on non-random criteria, and not every member of the population has a chance of being included. Common non-probability sampling methods include convenience sampling, voluntary response sampling, purposive sampling, snowball sampling, and quota sampling.
PLZ HELP NEED BY TODAY!!
Step-by-step explanation:
Given 5x + 8 = 118 (vertically opposite angles)
\(5x + 8 = 118 \\ 5x = 118 - 8 \\ 5x = 110 \\ x = 110 \div 5 \\ = 22\)
What is the chemical shift range we would expect to see alkyl C-H protons in, which are not influenced significantly by other groups or elements? a) 1.2 - 2.8 ppm b) 0.1 - 1.9 ppm c) 2.0 - 3.1 ppm d) 0.5 -2.5 ppm
The chemical shift range for alkyl C-H protons not influenced significantly by other groups or elements is typically 0.5 - 2.5 ppm (option d).
In nuclear magnetic resonance (NMR) spectroscopy, chemical shifts provide valuable information about the structure of molecules. Alkyl C-H protons, which are hydrogens bonded to sp3 hybridized carbon atoms, generally have a chemical shift range of 0.5 - 2.5 ppm.
This range is mainly due to the inductive and shielding effects of the surrounding atoms. As there is no significant influence from other groups or elements in the molecule, the chemical shift values stay within this range.
However, it is essential to note that chemical shifts may vary based on the specific molecular environment, but this range serves as a good general guideline for alkyl C-H protons.
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In which quadrant will the image lie if AB is reflected in the x-axis?
A. Quadrant I
B. Quadrant II
C. Quadrant III
D. Quadrant IV
Answer:
D. Quadrant IV
Step-by-step explanation:
Bc it IS!!!