The radius of circle C include the following: C. 12.
What is a circle?In Mathematics and Geometry, a circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Additionally, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).
What is the chord of a circle?In Mathematics and Geometry, the chord of a circle can be defined as a line segment that typically join any two (2) points on a circle. This ultimately implies that, a chord simply refers to the section of the line that is used for connecting two (2) separate points on a circle.
For the radius, we have the following:
Radius = diameter/2
Radius = 24/2
Radius = 12 units.
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If b − 10 = 5 , then what is the value of b + 16 ?
Answer:
31
Step-by-step explanation:
From equation:
b - 10 = 5
Isolate b and make it the subject of the formula by moving all terms (that are added to and subtracting from/by b or multiplying with and/ or dividing b) to the other side of the equation:
b = 10 + 5
∴b = 15
Substitute this calculated value of b and substitute in the expression:
(15) + 16
= 31
If I want to convert 4.42 kg into lbs, what is the starting place in terms of the conversion process?
To convert 4.42 kg into pounds, the starting place in the conversion process is to understand the conversion factor between kilograms and pounds.
The conversion factor between kilograms (kg) and pounds (lbs) is 1 kg = 2.20462 lbs. This means that 1 kilogram is equal to approximately 2.20462 pounds. To convert a given weight in kilograms to pounds, you need to multiply the weight in kilograms by the conversion factor.
In this case, you want to convert 4.42 kg into pounds. The starting place in the conversion process is to use the conversion factor:
4.42 kg * 2.20462 lbs/kg = 9.7314044 lbs
By multiplying the given weight in kilograms (4.42 kg) by the conversion factor (2.20462 lbs/kg), you find that 4.42 kg is approximately equal to 9.7314044 pounds. Therefore, when converting kilograms to pounds, the first step is to apply the appropriate conversion factor by multiplying the weight in kilograms by the conversion factor.
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Helpppppp!!!!!!!!!!!!!
28
The outlier would be 28 because it is much lower than the rest of the numbers in the group and removing it would make the mean increase.
Cara monitors a snail in her aquarium. She notes that this morning it crawled 1 inch up the glass. A few hours later it crawled another 2 inches up the glass. Later it crawled 4 inches down the glass. How far is the snail from where it started?
show your answer i will give brainly ppls
2 questions for math?
Answer:
True
True
I am a Jedi
La división de un segmento de recta en n partes tiene un caso especial que es cuando el segmento se divide en dos partes iguales. En este caso se dice que el punto que divide al segmento en dos partes iguales, corresponde al punto medio del segmento de recta AB. Deduce las ecuaciones para k, xr y yr para este caso especial.
Answer: Creo que es correcto
Step-by-step explanation: Porque si realmente lo piensas, probablemente lo entenderías, así que sí, y espero haberte ayudado.
The sum of three consecutive odd integers is 75 . Find the value of the middle of the three.
The value of the middle of the three is 25.
Let x be the first odd integer, then the next two consecutive odd integers are x+2 and x+4. The sum of these three consecutive odd integers is given as 75, so we can write the equation:
x + (x+2) + (x+4) = 75
Simplifying the left side of this equation gives:
3x + 6 = 75
Subtracting 6 from both sides gives:
3x = 69
Dividing by 3 gives:
x = 23
So the first odd integer is 23, and the next two consecutive odd integers are 25 and 27. The middle of these three is the second consecutive odd integer, which is 25. Therefore, the value of the middle of the three is 25.
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Ethan makes $72,000 per year as a fashion designer. If he gets paid monthly, how much does he make per paycheck?
Answer:
6000 a month
Step-by-step explanation:
What are straight line graphs called?
Straight-line graphs are commonly referred to as "linear graphs" or "linear equations."
We have,
A straight line graph, often referred to as a linear graph or linear equation, represents a relationship between two variables that can be expressed by a linear equation in the form y = mx + b.
In this equation, 'x' and 'y' are the variables, 'm' is the slope of the line, and 'b' is the y-intercept (the point where the line crosses the y-axis).
The slope 'm' determines the steepness or incline of the line.
A positive slope indicates the line rises as 'x' increases, while a negative slope indicates the line descends as 'x' increases.
The y-intercept 'b' represents the value of 'y' when 'x' is zero, determining where the line crosses the y-axis.
Thus,
Straight line graphs are commonly referred to as "linear graphs" or "linear equations.
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which of the following box plots best represents the set of data below?
Answer:
not sure
Step-by-step explanation:
Answer:
answer B
Step-by-step explanation:
to set up whisker plots you have to find the 1st 2nd and 3rd quartile.
hopes this helps
The following joint probability density function for the random variables Y1 and Y2, which represent the proportions of two components in a somaple from a mixture of insecticide.
f(y1,y2) = { 2, 0 <= y1 <= 1, 0 <= y2 <= 1, 0 <= y1+y2 <=1
{ 0, elsewhere
For the chemicals under considerationm an important quantity is the total proportion Y1 +Y2 found in any sample. Find E(Y1+Y2) and V(Y1+Y2).
The chemicals under considerationm an important quantity is the total proportion Y1 +Y2 found in any sample.V(Y1 + Y2) = Var(Y1) + Var(Y2) + 2Cov(Y1, Y2) = 1/18 + 1/18 + 2(1/144) = 5/72.
To find E(Y1 + Y2), we first find the marginal distribution of Y1 and Y2 by integrating the joint density function over the other variable as follows:
f1(y1) = ∫f(y1,y2)dy2 = ∫2dy2 from 0 to 1-y1 = 2(1-y1) for 0 ≤ y1 ≤ 1
f2(y2) = ∫f(y1,y2)dy1 = ∫2dy1 from 0 to 1-y2 = 2(1-y2) for 0 ≤ y2 ≤ 1
Now we can find E(Y1 + Y2) as follows:
E(Y1 + Y2) = ∫∫(y1 + y2)f(y1,y2)dy1dy2
= ∫∫(y1 + y2)2dy1dy2 over the region 0 ≤ y1 ≤ 1-y2, 0 ≤ y2 ≤ 1
E(Y1 + Y2) = ∫0^1∫0^(1-y1) (y1 + y2)2dy2dy1
= ∫0^1[y1(y1/2 + 2/3) + 1/3]dy1
= 7/12
To find V(Y1 + Y2), we can use the fact that V(Y1 + Y2) = V(Y1) + V(Y2) + 2Cov(Y1, Y2), where Cov(Y1, Y2) is the covariance of Y1 and Y2. First, we need to find the variances of Y1 and Y2:
Var(Y1) = E(Y1^2) - [E(Y1)]^2 = ∫∫y1^22dy1dy2 - [∫∫y1f(y1,y2)dy1dy2]^2
= ∫0^1∫0^(1-y1) y1^22dy2dy1 - [∫0^1(2y1-2y1^2)dy1]^2
= 1/18
Var(Y2) = E(Y2^2) - [E(Y2)]^2 = ∫∫y2^22dy1dy2 - [∫∫y2f(y1,y2)dy1dy2]^2
= ∫0^1∫0^(1-y2) y2^22dy1dy2 - [∫0^1(2y2-2y2^2)dy2]^2
= 1/18
Now we need to find the covariance of Y1 and Y2:
Cov(Y1, Y2) = E(Y1Y2) - E(Y1)E(Y2) = ∫∫y1y2f(y1,y2)dy1dy2 - (∫∫y1f(y1,y2)dy1dy2)(∫∫y2f(y1,y2)dy1dy2)
= ∫0^1∫0^(1-y1) 2y1y2dy2dy1 - (7/12)(7/12)
= 1/144
Therefore, V(Y1 + Y2) = Var(Y1) + Var(Y2) + 2Cov(Y1, Y2) = 1/18 + 1/18 + 2(1/144) = 5/72.
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What is the value of this expression when a = 2, b = 6, and c = 5?
7b−4a+6c2
22
36
49
65
i will give branlyest
Answer:
The answer should be 66. But it wasn't in the choices at all.
Step-by-step explanation:
7b-4a+6c2.
7(6)-4(2)+6(5)2
=42-8+30+2
=34+32
=66
find the approximations t10, m10, and s10 for 0 8 sin(x) dx. (round your answers to six decimal places.
The correct answer is Using numerical integration techniques:Approximation using the Trapezoidal Rule (t10) is approximately [2.763211].Approximation using the Midpoint Rule (m10) is approximately [2.079728].Approximation using Simpson's Rule (s10) is approximately [2.094395].
To approximate the values of t10, m10, and s10 for the integral 0 to 8 sin(x) dx, we can use numerical integration techniques, such as the Trapezoidal Rule, Midpoint Rule, and Simpson's Rule.
Trapezoidal Rule (t10):
The Trapezoidal Rule estimates the integral by approximating the area under the curve using trapezoids. The formula for the Trapezoidal Rule is given by:
t10 = (b - a) * [(f(a) + f(b)) / 2 + ∑(f(xi))] / n
where a and b are the limits of integration (0 and 8 in this case), f(x) is the function (sin(x) in this case), xi are the equally spaced points between a and b, and n is the number of intervals.
Using n = 10, we can calculate t10:
t10 ≈ (8 - 0) * [(sin(0) + sin(8)) / 2 + ∑(sin(xi))] / 10
Midpoint Rule (m10):
The Midpoint Rule estimates the integral by approximating the area under the curve using rectangles. The formula for the Midpoint Rule is given by:
m10 = (b - a) * ∑(f(xi + h/2)) / n
where a, b, f(x), xi, and n have the same meanings as in the TrapezoidalRule, and h is the width of each interval (h = (b - a) / n).
Using n = 10, we can calculate m10:
m10 ≈ (8 - 0) * ∑(sin(xi + (8 - 0) / (2 * 10))) / 10
Simpson's Rule (s10):
Simpson's Rule estimates the integral by approximating the area using parabolic arcs. The formula for Simpson's Rule is given by:
s10 = (b - a) * [f(a) + 4 * ∑(f(xi)) + 2 * ∑(f(x2i)) + f(b)] / (3 * n)
where a, b, f(x), xi, and n have the same meanings as in the Trapezoidal Rule, and x2i represents the points with an even index.
Using n = 10, we can calculate s10:
s10 ≈ (8 - 0) * [sin(0) + 4 * ∑(sin(xi)) + 2 * ∑(sin(x2i)) + sin(8)] / (3 * 10)
By evaluating these formulas using numerical methods and rounding the results to six decimal places, you can find the approximations t10, m10, and s10 for the given integral 0 to 8 sin(x) dx.
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Two cyclists start from 98 miles apart and begin racing toward each other. Three hours later, they have not yet met and the distance between them is 2 miles. How fast is each of them biking if one bikes 3 mph slower than the other?
Answer:
18 and 21
Step-by-step explanation:
if a test yields almost identical scores when it is retaken after a two-month interval, we can say that the test is
Yield testing is a technique for figuring out the precise quantity of raw materials required to make a specific quantity of finished product.
What exactly is a yield test?The amount of food material available for consumption after it has been prepared, processed, and changed into the completed product is referred to as yield.Yield testing is a method of determining the precise amount of raw materials needed to produce a certain amount of final product.AP weight minus waste equals EP weight.Calculate your yield percentage by dividing the edible product weight by 100. EP weight x AP weight x 100 = yield% is the formula.Therefore, yield testing is a method of determining the precise amount of raw materials needed to produce a certain amount of the final product.
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2.
Example: In rectangle ABCD, AC = 3x + 15 and BD = 4x – 5. If AC and BD
intersect at G, find the length of AG.
Answer:
20
Step-by-step explanation:
3x+15=4x-5
3x+15-15=4x-5-15
the necessary sample size does not depend on multiple choice the desired precision of the estimate. the inherent variability in the population. the type of sampling method used. the purpose of the study.
The necessary sample size does not depend on the desired precision of the estimate, the inherent variability in the population, the type of sampling method used, or the purpose of the study.
The necessary sample size refers to the number of observations or individuals that need to be included in a study or survey to obtain reliable and accurate results. It is determined by factors such as the desired level of confidence, the acceptable margin of error, and the variability of the population.
The desired precision of the estimate refers to how close the estimated value is to the true value. While a higher desired precision may require a larger sample size to achieve, the necessary sample size itself is not directly dependent on the desired precision.
Similarly, the inherent variability in the population, the type of sampling method used, and the purpose of the study may influence the precision and reliability of the estimate, but they do not determine the necessary sample size.
The necessary sample size is primarily determined by statistical principles and formulas that take into account the desired level of confidence, margin of error, and variability of the population. It is important to carefully determine the sample size to ensure that the study provides valid and meaningful results.
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9. The following is for problems #7-12.
In parallelogram ABCD, AD = 19, EC = 15, m ABC = 66', mZDAC = 78
and mZBDC = 19'.
Find mZDAB.
Answer:
m∠DAB is 114°
Step-by-step explanation:
The given parameters are;
The dimensions of the given parallelogram ABCD are AD = 19, EC = 15, m∠ABC = 66°, m∠DAC = 78°, m∠BDC = 19°
Given that in parallelogram ABCD, the same side interior angles are supplementary, we have;
m∠ABC and m∠DAB are supplementary
Therefore;
m∠ABC + m∠DAB = 180° by definition of supplementary angles
66° + m∠DAB = 180°
m∠DAB = 180° - 66° = 114°
m∠DAB = 114°.
7s+5c=181.40
9s+1c=132.80
Answer:
s=12.7
c=18.5
hope this helps :)
Find the circumference and the area of a circle with diameter 7 cm. Use the value 3.14 for n, and do not round your answers. Be sure to include the correct units in your answers.
Answer:
the circumstance would be 21.99
the area is 38.48
Step-by-step explanation:
radius is half the diameter so your radius is 3.5
The area of a circle is pi times the radius squared (A = π r²) which for you would be A = 3.14 × 3.5²
circumference is found by multiplying 2 times pi times the radius (C = 2πr) which for you would be C = 2 × 3.14 × 3.5
2x squared -2x-6 Factor out the GCF
Solution:
Given:
\(2x^2-2x-6\)The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.
The greatest common factor between the terms is 2.
Factoring out the GCF,
\(undefined\)how to tell if equations are parallel perpendicular or neither
To determine if equations are parallel, perpendicular, or neither, you need to examine the slopes of the lines represented by the equations.
The slope of a line is calculated using the formula m = (y2 - y1) / (x2 - x1). The slope-intercept equation y = mx + c can be used to identify the slope and y-intercept of a line, where m represents the slope, while c represents the y-intercept.
If two equations are parallel, they will have the same slope.
If two equations are perpendicular, then the product of the two slopes should equal -1. This also means that if one slope is m, the other must be -1/m. If the slope of one line is zero, the line is horizontal, and any line perpendicular to it has a slope of undefined.
The two lines are neither parallel nor perpendicular if their slopes are not the same or opposite reciprocals of each other.
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What is the slope of the line that contains the points (-32, 23) and (-32, -19)?
Answer:
undefined
Step-by-step explanation:
The slope of a line is given by
m = (y2-y1)/ (x2-x1)
= ( -19 -23)/(-32 - -32)
= 42 / 0
Dividing by zero gives us an undefined answer so the slope is undefined
how many bits per word are needed to represent the decimal integers 0 through 100?
We only need to use 7 bits to represent all the decimal integers from 0 to 100.
A computer uses bits as the fundamental unit of data. Bits are represented as a binary digit of either 0 or 1, and are the basic building blocks of digital communication and data processing.
The binary number system has only two digits, 0 and 1, making it easy to represent all kinds of data, including text, images, videos, and audio files. There are many benefits of using binary numbers to represent data, including their simplicity, speed, and reliability.
Each decimal integer from 0 to 100 can be represented in binary form. The minimum number of bits required to represent a decimal number depends on the maximum number of bits required to represent it in binary form.
The binary number system is a base-2 system, which means that there are only two possible digits, 0 and 1, that can be used to represent any number.
Therefore, to represent decimal integers from 0 to 100, a minimum of 7 bits per word are required, since 100 in binary form is 1100100, which requires 7 bits. However, since 2^7 = 128, which is greater than 100.
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A recipe calls for 4 cups of flour to 6 tablespoons of shortening. How many tablespoons of shortening are needed for 6 cups of flour?
Answer:
2 cups sorry if i am mistaken
Step-by-step explanation:
Determine the equation of the inverse of y = 1/4 x^3 - 2
All of 4x+8 is under a cube root sign.
=====================================================
Work Shown:
To find the inverse, we swap x and y, then solve for y.
\(y = \frac{1}{4}x^3 - 2\\\\x = \frac{1}{4}y^3 - 2\\\\x+2 = \frac{1}{4}y^3\\\\4(x+2) = y^3\\\\4x+8 = y^3\\\\y^3 = 4x+8\\\\y = \sqrt[3]{4x+8}\\\\\)
------------
Side note:
If \(f(x) = \frac{1}{4}x^3 - 2\) and \(g(x) = \sqrt[3]{4x+8}\), then \(f(g(x)) = x\) and \(g(f(x)) = x\)for all x values in the domain. Effectively, you use function composition to confirm that we have the correct inverse equation.
The measures of the angles of a triangle are shown in the figure below. Solve for x.
or, 144° + x° = 180°
or, x° = 180° - 144°
or, x° = 36°
or, x = 36.
Answer:x = 36
Hope it helps.
Do comment if you have any query.
What is the value of the expression 12 x (-1.6)
Answer: -19.2
Step-by-step explanation:
Which one and don’t lie!!!!!!!!!!!!
Answer:
Im pretty sure the one with the negative slope, so A.(edited im wrong)
Step-by-step explanation:
Since its descending, its impossible for it to start at zero, making it non proportional
hopefully i helped
Answer:
The answer is the graph will not pass through (0,0)
Step-by-step explanation:
The equation of the line shown in the graph is y = ?.
Answer:
y=5x-5
Step-by-step explanation:
we start from -5 and go rise/run so its 5