The values of the fraction are
A_1/A_2 = (r_1^2)/(r_2^2-r_1^2 )
A_2/A_3 = (r_2^2-r_1^2)/(r_3^2-r_2^2 )
From the question, we have
A_1/A_2 =(πr_1^2)/π(r_2^2-r_1^2 )
=(r_1^2)/(r_2^2-r_1^2 )
A_2/A_3 =π(r_2^2-r_1^2 )/π(r_3^2-r_2^2 )
=(r_2^2-r_1^2)/(r_3^2-r_2^2 )
4⁄5 is a fraction, and the line separating the numbers 4 and 5 is the fraction bar.
Here the number above the fraction bar is the numerator, and the one below the fraction bar is the denominator. A numerator represents the number of parts out of the whole, which is the denominator.
Divide:
Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups.
When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers. One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division.
Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping.
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which statement is correct
I have to make this unnecessary long because yeah but the correct answer I believe is going to be the second one
(n+7)(n+2)(3n-4) pls answer the question
Answer:
3x3+23x2+6x−56 it depends what type of answer they want like do they want you to simplify, if so that's the answer
One more :) (Again, Brianliest!)
The table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color:
Paint Color
Quarts of Red Paint Quarts of White Paint
4_______________________20
5_______________________25
7_______________________35
8_______________________40
Which statement is true about the ratio of red paint to white paint in the paint color?
Answer:
1:5 is the ratio of red to white
Step-by-step explanation:
4:20 can be simplified to 1:5 by dividing by 4
5:25 can be simplified to 1:5 by dividing by 5
7:35 can be simplified to 1:5 by dividing by 7
8:40 can be simplified to 1:5 by dividing by 8
The K
eq
for the reaction: A+B↔AB is 7 What is the K
eq
for 2AB↔2A+2B?
According to the question The equilibrium constant \((K_{eq})\) relates the concentrations of reactants and products \(K_{eq} \ for\ 2AB \rightleftharpoons 2A + 2B \ is\ 49.\)This indicates that the equilibrium position favors formation of products.
The equilibrium constant \((K_{eq})\) relates the concentrations of reactants and products in a chemical reaction at equilibrium. In the given reaction,
\(A + B \rightleftharpoons AB, the\ K_{eq}\ is\ 7\).
When considering the reaction \(2AB \rightleftharpoons 2A + 2B\), the stoichiometric coefficients are doubled on both sides. According to the principles of equilibrium, the equilibrium constant for the modified reaction can be obtained by squaring the original \(K_{eq}\).
Therefore, the \(K_{eq}\) for \(2AB \rightleftharpoons 2A + 2B is (K_{eq})^2 = (7)^2 = 49\). This indicates that the equilibrium position favors the formation of products in the double reaction compared to the original reaction.
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531
x 47
Long multiplication :) please help
solve . x -13 < -11
A.
x <-2
B.
x < 2
C.
x > 24
D.
x > -24
x - 13 < - 11
x < - 11 + 13
x < 2
For each row with a quadratic expression below, select an equivalent expression.
Explanation
Step 1
\(x^2+6x-7\)The middle number is 6 and the last number is -7.
Factoring means we want something like
\(\mleft(x+a_{}\mright)\mleft(x+b_{}\mright)\)We need two numbers that...
Add together to get 6
Multiply together to get -7
c
Refrigerant R-410A is a mixture of refrigerants R-32 and R-125. It takes 60 pounds of R-32 and 40 pounds of R-125 to make 100 pounds of R-410A. Find the ratio of R-32 to R-125. ___________
Refrigerant R-410A is a mixture of refrigerants R-32 and R-125. It takes 60 pounds of R-32 and 40 pounds of R-125 to make 100 pounds of R-410A. Ratio of R-32 to R-125 = 1.5.
Find the ratio?To find the ratio of R-32 to R-125 in R-410A, we can divide the weight of R-32 by the weight of R-125.
Ratio of R-32 to R-125 = Weight of R-32 / Weight of R-125
Given that it takes 60 pounds of R-32 and 40 pounds of R-125 to make 100 pounds of R-410A, the ratio can be calculated as:
Ratio of R-32 to R-125 = 60 pounds / 40 pounds = 1.5
To find the ratio of R-32 to R-125 in R-410A, we can divide the weight of R-32 by the weight of R-125.
Ratio of R-32 to R-125 = Weight of R-32 / Weight of R-125
Given that it takes 60 pounds of R-32 and 40 pounds of R-125 to make 100 pounds of R-410A, the ratio can be calculated as:
Ratio of R-32 to R-125 = 60 pounds / 40 pounds = 1.5
Therefore, the ratio of R-32 to R-125 in R-410A is 1.5.
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LESSON 18 SESSION 4
7 Tell whether each statement is True or False.
a. 80% of 90 is the same as of 90.
b. 45% of 60 is 27.
c. 20% of 90 is the same as
as
d. 25 is 35% of 80.
of 90.
of
True False
о
O
о
O
L
a. 80% of 90 is the same as of 90 - False
b. 45% of 60 is 27 - True
c. 20% of 90 is the same as as of 90- True
d. 25 is 35% of 80 -False
What are the statement about?a. 80% of 90 is not the same as 90. To find 80% of 90, we multiply 90 by 0.8, which gives us 72. Therefore, the statement is false.
b. To find 45% of 60, we multiply 60 by 0.45, which gives us 27. Therefore, the statement is true.
c. 20% of 90 is the same as of 90. To find 20% of 90, we multiply 90 by 0.2, which gives us 18. Therefore, the statement is true.
Lastly, for question d. 25 is not 35% of 80. To find 35% of 80, we multiply 80 by 0.35, which gives us 28. Therefore, the statement is false.
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If 10,50,80 and x are in proportion,find the value of x
Given :
10,50,80 and x are in proportion.
To Find :
The value of x.
Solution :
It is given that 10,50,80 and x are in proportion.
It means that 10,50 and 80, x are same ratio.
\(R = \dfrac{10}{50}=\dfrac{80}{x}\\\\x = 400\)
Therefore, the value of x is 100.
Help me with this Question Please.
Answer:
\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)
Can someone help (8 grade math)
Answer:
Lateral surface area is the area of the sides, not including the base and top area, while total surface area is the entire surface area (including sides, base, and top).
The manager would like to know the probability of a stockout during replenishment lead-time. in other words, what is the probability that demand during lead-time will exceed 25 gallons?
The probability that demand during this period will exceed 25 gallons depends on the distribution of demand.
To calculate the probability of a stockout during the replenishment lead-time, we need to consider the distribution of demand during this period. If the demand follows a known probability distribution, such as the normal distribution, we can use statistical methods to estimate the probability.
First, we need to determine the parameters of the distribution, such as the mean and standard deviation of the demand during the lead-time. Once we have these parameters, we can calculate the probability of demand exceeding 25 gallons using the cumulative distribution function (CDF) of the chosen distribution.
For example, if the demand during lead-time follows a normal distribution with a mean of 20 gallons and a standard deviation of 5 gallons, we can use the normal distribution table or statistical software to find the probability of demand exceeding 25 gallons.
Alternatively, if we have historical data on demand during lead-time, we can use that data to estimate the probability. We can calculate the proportion of instances where the demand exceeded 25 gallons and use this as an estimate of the probability of a stockout during the lead-time.
Overall, the probability of a stockout during replenishment lead-time depends on the distribution of demand and can be determined using statistical techniques or historical data.
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Given the following list of times for independent tasks, schedule these on two machines.
What is the best time for both machines to finish their tasking? List of times: (18, 8, 12, 6, 16) Show your work.
a) 32
B) 30
C) 34
D) 35
To schedule the tasks on two machines in a way that minimizes the time for both machines to finish their tasks, we can use the "Longest Processing Time" algorithm.
1. Sort the list of times in descending order: (18, 16, 12, 8, 6).
2. Assign the tasks one by one to the machine with the currently shorter total processing time.
Machine 1: (18) -> Total time: 18
Machine 2: (16) -> Total time: 16
Machine 1: (12) -> Total time: 30
Machine 2: (8) -> Total time: 24
Machine 1: (6) -> Total time: 36
3. The best time for both machines to finish their tasks is the maximum of the two total times: 36.
the correct answer is:
D) 35 (Incorrect)
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L 4.6.3 Test (CST): Linear Equations
me.
OA. y+4= -3(x-3)
OB. y-4=-3(x+3)
OC. y-4=3(x+3)
OD. y+4=3(x-3)
(3,-4)
The correct option is OA. y+4= -3(x-3). L 4.6.3 Test (CST): Linear Equations Solution: We are given that a line passes through (3,-4) and has a slope of -3.
We will use point slope form of line to obtain the equation of liney - y1 = m(x - x1).
Plugging in the values, we get,y - (-4) = -3(x - 3).
Simplifying the above expression, we get y + 4 = -3x + 9y = -3x + 9 - 4y = -3x + 5y = -3x + 5.
This equation is in slope intercept form of line where slope is -3 and y-intercept is 5.The above equation is not matching with any of the options given.
Let's try to put the equation in standard form of line,ax + by = c=> 3x + y = 5
Multiplying all the terms by -1,-3x - y = -5
We observe that option (A) satisfies the above equation of line, therefore correct option is OA. y+4= -3(x-3).
Thus, the correct option is OA. y+4= -3(x-3).
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to the nearest tenth of a kilometer, how many kilometers are in a mile?
Answer:
1.6 kilometers
Step-by-step explanation:
Umm... sorry...
I can't think of an explanation.
I memorized the answer (because I do track and field)
Well, feel free to tell me if I did anything wrong! :)
Kayla purchased 0.1 pounds of medium binder clips and 0.2 pounds of jumbo binder clips.
What was the total cost?
if
standard paper clips-$4 per lb
jumbo binder clips-$6 per lb
colored paper clips-$5 per lb
medium binder clips- $5 per lb
The total cost of Kayla's purchase of 0.1 pounds of medium binder clips and 0.2 pounds of jumbo binder clips is $1.20.
To calculate the total cost, we need to determine the cost of each type of binder clip separately and then sum them up.
The cost of medium binder clips is $5 per pound, and Kayla purchased 0.1 pounds. Therefore, the cost of medium binder clips is 0.1 pounds * $5 per pound = $0.50.
The cost of jumbo binder clips is $6 per pound, and Kayla purchased 0.2 pounds. Thus, the cost of jumbo binder clips is 0.2 pounds * $6 per pound = $1.20.
Finally, to find the total cost, we add the individual costs together: $0.50 + $1.20 = $1.70.
Therefore, the total cost of Kayla's purchase of 0.1 pounds of medium binder clips and 0.2 pounds of jumbo binder clips is $1.70.
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2sin^2(x)+sin(2x)=2
please help!!
\(2sin {}^{2} (x) + sin(2x) = 2 \\ 2sin {}^{2} (x) + 2sin(x)cos(x) = 2 \\ sin {}^{2} (x) + sin(x)cos(x) - 1 = 0 \\1 - cos {}^{2} (x) + sin(x)cos(x) - 1 = 0 \\ - cos {}^{2} (x) + sin(x)cos(x) = 0\)
\(cos(x)( - cos(x) + sin(x)) = 0\)
\(cos(x) = 0 \\ x = \frac{\pi}{2} + k\pi \\ \\ sin(x) = cos(x) \\ x = \frac{\pi}{4} + k\pi\)
) find the points on the surface 5x2 3y2 2z2=1 at which the tangent plane is parallel to the plane −4x 4y 5z=0.
There are no specific points on the surface 5x^2 + 3y^2 + 2z^2 = 1 at which the tangent plane is parallel to the plane -4x + 4y + 5z = 0. The entire surface is parallel to the given plane.
To find the points on the surface 5x^2 + 3y^2 + 2z^2 = 1 at which the tangent plane is parallel to the plane -4x + 4y + 5z = 0, we need to determine the normal vector of the surface and the normal vector of the given plane.
Let's start by finding the normal vector of the given plane. The coefficients of x, y, and z in the equation -4x + 4y + 5z = 0 represent the components of the normal vector. Therefore, the normal vector of the plane is n1 = (-4, 4, 5).
Next, we need to find the normal vector of the surface 5x^2 + 3y^2 + 2z^2 = 1. To do this, we differentiate the equation implicitly with respect to x, y, and z.
Differentiating the equation with respect to x:
d/dx(5x^2) + d/dx(3y^2) + d/dx(2z^2) = d/dx(1)
10x + 0 + 0 = 0
10x = 0
x = 0
Differentiating the equation with respect to y:
d/dy(5x^2) + d/dy(3y^2) + d/dy(2z^2) = d/dy(1)
0 + 6y + 0 = 0
6y = 0
y = 0
Differentiating the equation with respect to z:
d/dz(5x^2) + d/dz(3y^2) + d/dz(2z^2) = d/dz(1)
0 + 0 + 4z = 0
4z = 0
z = 0
Therefore, the normal vector of the surface at the point (0, 0, 0) is n2 = (0, 0, 0). However, since the magnitude of the normal vector is zero, it indicates that the surface does not have a unique normal vector at the point (0, 0, 0).
Since the tangent plane is parallel to the given plane, the normal vectors of the surface and the plane must be parallel. Thus, the normal vectors n1 and n2 must be parallel.
To check if n1 and n2 are parallel, we can take the cross product of n1 and n2 and see if the resulting vector is the zero vector.
n1 x n2 = (-4, 4, 5) x (0, 0, 0)
= (0, 0, 0)
The resulting vector is indeed the zero vector, which means that n1 and n2 are parallel. Therefore, the tangent plane to the surface 5x^2 + 3y^2 + 2z^2 = 1 is parallel to the plane -4x + 4y + 5z = 0 at all points on the surface.
In summary, there are no specific points on the surface 5x^2 + 3y^2 + 2z^2 = 1 at which the tangent plane is parallel to the plane -4x + 4y + 5z = 0. The entire surface is parallel to the given plane.
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Rewrite the expression as the product of two factors.
26b-13
Answer:
13(2b-1)
Step-by-step explanation:
Both have the factor 13.
13(2b-1)
what is the wavelength (in nm) of an electron moving with a speed of 5.97 mms-1, the mass of an electron is 9.11 x 10-28 g.
the wavelength of the electron is approximately 122 nm To find the wavelength of an electron, we can use the de Broglie wavelength formula:
wavelength (λ) = h / (m * v)
where:
- h is Planck's constant (6.63 x 10^-34 Js)
- m is the mass of the electron (9.11 x 10^-28 g, which needs to be converted to kg)
- v is the speed of the electron (5.97 mm/s, which needs to be converted to m/s)
Step 1: Convert the mass of the electron to kg:
9.11 x 10^-28 g * (1 kg / 1000 g) = 9.11 x 10^-31 kg
Step 2: Convert the speed of the electron to m/s:
5.97 mm/s * (1 m / 1000 mm) = 5.97 x 10^-3 m/s
Step 3: Plug the values into the de Broglie wavelength formula:
λ = (6.63 x 10^-34 Js) / (9.11 x 10^-31 kg * 5.97 x 10^-3 m/s)
Step 4: Calculate the wavelength:
λ = (6.63 x 10^-34 Js) / (5.44 x 10^-33 kg m/s) ≈ 1.22 x 10^-10 m
Step 5: Convert the wavelength to nm:
1.22 x 10^-10 m * (1 x 10^9 nm / 1 m) ≈ 122 nm
So, the wavelength is approximately 122 nm.
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Which of the following is NOT a voluntary response sample? Choose the correct answer below O A. A survey is taken at a mall by asking passersby if they will fill out the survey O B. A radio station asks for call-in responses to a question concerning city recycling OC. A local dentist asks her patients to fill out a questionnaire and mail it back to determine the quality of the care received during an office visit OD. Quiz scores from a college level statistics course are analyzed to determine student progress State whether the data described below are discrete or continuous, and explain why. The number of donations a charity receives each month Choose the correct answer below. O A. The data are discrete because the data can only take on specific values. O B. The data are continuous because the data can take on any value in an interval. O C. The data are continuous because the data can only take on specific values. D. The data are discrete because the data can take on any value in an interval. O
The correct answer for the first question is D. The data are discrete because the data can take on any value in an interval.
Quiz scores from a college level statistics course are analyzed to determine student progress. This is not a voluntary response sample because the students taking the quiz are required to participate, and their scores are collected for the purpose of analyzing their progress.
For the second question, the data described, which is the number of donations a charity receives each month, is discrete. Discrete data can only take on specific values and cannot be divided into smaller, meaningful intervals. In this case, the number of donations can only be whole numbers, such as 0, 1, 2, and so on. It cannot take on any value in an interval or be represented by fractions or decimals. Therefore, the data is discrete.
It is important to distinguish between discrete and continuous data when analyzing and interpreting data, as different statistical methods and techniques are used for each type. Discrete data is usually counted or measured in whole numbers, while continuous data can take on any value within a given range or interval.
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Which is a recursive formula for the sequence 50, 54, 58, 62, …?
A. an=4n+46
B. {a1=50an=an−1+4, where n≥2
C. an=4n+50
D. {a1=46an=an−1+4, where n≥2
Answer:
66
Step-by-step explanation:
50+4=54 all u have to do is keep adding 4
7. A toy is made up of cylindrical rings stacked
on a base, as shown in the diagram. The
diameter of Ring 1 is 87% of the diameter of the
base. For Ring 2 through Ring 7, the diameter
of each ring is 87% of the diameter of the ring
directly below it.
7
G
2
The diameter of the base is 5 inches. Which
function can be used to find the diameter in
inches of Ring r, wherel≤r≤7 ?
F d(r) = 5(0.87)
G_ d(r) = 0.87(r-5)
H_ d(r) = 0.87(5)
J d(r) = 5(r-0.87)
The function that can be used to find the diameter in inches of Ring r, is option F: d(r) = 5× (0.87)^r.
What is diameter?
A circle is a 2D form in geometry in which all of the points on its surface are equally spaced from its centre. The radius is the length from any point on the surface to the centre. Similar to this, the diameter of a circle is defined as the distance through its centre between any two points on its surface.
It is given that the diameter of base is 5 inches.
The diameter of ring 1 is 87% of diameter of base -
⇒ diameter of ring 1 = 87% of 5 inch
= 5 × 87/100
Diameter of ring 1 = 5 × 0.87 inch
Now, diameter of ring 2 is 87% of diameter of ring 1
⇒ diameter of ring 2 = 87% of 5 × 0.87 inch
= 5 × 0.87 ×87/100
= 5 × 0.87 × 0.87
Diameter of ring 2 = 5× (0.87)²
Now, diameter of ring 3 is 87% of diameter of ring 2
⇒ diameter of ring 3 = 87% of 5 × (0.87)² inch
= 5 × (0.87)² ×87/100
= 5 × (0.87)² × 0.87
Diameter of ring 3= 6× (0.9)³
Therefore, the diameter of ring r = 5× (0.87)^r.
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What is the most important statistic that is obtained through nasometry? a. Threshold percentage b. Maximum percentage c. Mean nasalance score d. Fundamental frequency e. Range
The most important statistic that is obtained through nasometry is the mean nasalance score. Nasometry is a measure of nasalance, which refers to the amount of sound energy that is transmitted through the nose during speech production.
This measure is obtained by comparing the acoustic energy of the sound produced by the mouth and the sound produced by the nose. The mean nasalance score provides information about the average amount of nasality in a person's speech, which can be useful in diagnosing and treating speech disorders such as cleft palate or velopharyngeal insufficiency. The other terms mentioned, such as fundamental frequency and range, are not directly related to nasometry or nasalance.
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it takes 10 seconds to fill a one-quart jar with water from your kitchen faucet. what is the flow rate, in gallons per minute, from the faucet? group of answer choices 40 10 1.5 4
1.5 litres of water are released from the faucet per minute.
It is given to us that -
There is a one quart jar
Water from the kitchen faucet fills the 1-quart jar in 10 seconds.
We need to ascertain the faucet's flow rate in gallons per minute.
We know that -
1 quart = 0.25 gallon ---- (1)
We also know that -
1 minute = 60 seconds
=> 60 seconds = 1 minute
=> 10 seconds = 10/60 = 0.16 minutes ----- (2)
Now, the flow rate can be calculated as -
Flow rate = Amount of water filled/Time taken ----- (3)
Substituting the values from equation (1) and (2) in equation (3), we have -
Flow rate = Amount of water filled/Time taken
=> Flow rate = 1 quart water/10 seconds
=> Flow rate = 0.25 gallons/0.16 minutes
=> Flow rate = 1.5 gallons per minute
Therefore, the flow rate of water from the faucet is 1.5 gallons per minute.
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need help with two questions please
What is the domain of the function v=−6r2 if the range is v≤0?
For the function f(x)=x3, if the domain of x is R, what is the range of f(x)?
Answer:
v is negative for every x, meaning the domain is all values in R, whatever goes under the squared sign will come out as positive and the left out -ve sign will make V negative for all x in R
range of f(x) is -inf to +inf
Step-by-step explanation:
the cubic power doesnt affect the sign
What is the slope of this graph?
4 packs of gun for 2.40 or 5 packs for 3.20. What’s the unit rate
Answer:
= 0.8 2.40 per 3.20
Showing Work
This is a fraction equal to
4 2.40 ÷ 5 3.20
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 5
4 2.40 ÷ 5
5 3.20 ÷ 5
=
0.8 2.40
1 3.20
=
0.8 2.40
3.20
= 0.8 2.40 per 3.20
Step-by-step explanation:
What is the weight of an object that has a mass of 60 slugs
The formula is weight of object = mass x gravity
if you punch the numbers in the formula correctly the mass in kg is 875.634 kg x 9.8 m/s = 8,581.2132