Answer:
2
Step-by-step explanation:
4 chipped + 16 not chipped = 20 total
4 / 20 = 1/5 or 20% chance that vase will be chipped
Set up a proportion or find 20% of 10.
\(\frac{1}{5} = \frac{x}{10}\) x = 2 (ten is on denominator because it's the total amount of vases)
or 10 * 0.2 = 2
Which function IS graphed below?
Answer:
first you write your full question then ,i will try.
Step-by-step explanation:
please give me brain list and follow
Nancy started the year with 400$ in the bank and is saving 10$ a week. Shane started with 700$ and is spending 20$ a week. When will they both have the same amount of money in the bank?
They will both have the same amount in the bank after 10 weeks
What are linear equations?Linear equations are equations that have constant average rates of change, slope or gradient
How to determine the solution to the system?A system of linear equations is a collection of at least two linear equations.
In this case, we have
Nancy
Initial = 400
Rate = 10
So, the equation is
y = 400 + 10x
700
Initial = 700
Spending = 20
So, the equation is
y = 700 - 20x
When they both have the same amount of money in the bank, we have
700 - 20x = 400 + 10x
Evaluate the like terms
30x = 300
Divide by 30
x = 10
Hence, they will both have the same amount in the bank after 10 weeks
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I got 1 minute to do this dude
Answer:
Y=30x
Step-by-step explanation:
Y-total cost, so make everything equal to that. 30 is the amount she makes each month so multiply that with x.
Consider the general problem: -(ku')' + cu' + bu = f, 0 Suppose we discretize by the finite element method with 4 elements. On the first and last elements, use linear shape functions, and on the middle two elements, use quadratic shape functions. Sketch the resulting basis functions. What is the structure of the stiffness matrix K (ignoring boundary conditions); that is indicate which entries in K are nonzero.
We need to consider the general problem: \[-(ku')' + cu' + bu = f\]If we discretize by the finite element method with four elements.
On the first and last elements, we use linear shape functions, and on the middle two elements, we use quadratic shape functions. The resulting basis functions are given by:The basis functions ϕ1 and ϕ4 are linear while ϕ2 and ϕ3 are quadratic in nature. These basis functions are such that they follow the property of linearity and quadratic nature on each of the elements.
For the structure of the stiffness matrix K, we need to consider the discrete problem given by \[KU=F\]where U is the vector of nodal values of u, K is the stiffness matrix and F is the load vector. Considering the above equation and assuming constant values of k and c on each of the element we can write\[k_{1}\begin{bmatrix}1 & -1\\-1 & 1\end{bmatrix}+k_{2}\begin{bmatrix}2 & -2 & 1\\-2 & 4 & -2\\1 & -2 & 2\end{bmatrix}+k_{3}\begin{bmatrix}2 & -1\\-1 & 1\end{bmatrix}\]Here, the subscripts denote the element number. As we can observe, the resulting stiffness matrix K is symmetric and has a banded structure.
The element [1 1] and [2 2] are common to two elements while all the other elements are present on a single element only. Hence, we have four elements with five degrees of freedom. Thus, the stiffness matrix will be a 5 x 5 matrix and the structure of K is as follows:
$$\begin{bmatrix}k_{1}+2k_{2}& -k_{2}& & &\\-k_{2}&k_{2}+2k_{3} & -k_{3} & & \\ & -k_{3} & k_{1}+2k_{2}&-k_{2}& \\ & &-k_{2}& k_{2}+2k_{3}&-k_{3}\\ & & & -k_{3} & k_{3}+k_{2}\end{bmatrix}$$Conclusion:In this question, we considered the general problem given by -(ku')' + cu' + bu = f. We discretized it by the finite element method with four elements. On the first and last elements, we used linear shape functions, and on the middle two elements, we used quadratic shape functions. We sketched the resulting basis functions. The structure of the stiffness matrix K was then determined by ignoring boundary conditions. We observed that it is symmetric and has a banded structure.
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d/d{cosec^-1(1+x²/2x)} is equal to
Step-by-step explanation:
\(\large\underline{\sf{Solution-}}\)
\(\rm :\longmapsto\:\dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)\)
Let assume that
\(\rm :\longmapsto\:y = {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)\)
We know,
\(\boxed{\tt{ {cosec}^{ - 1}x = {sin}^{ - 1}\bigg( \dfrac{1}{x} \bigg)}}\)
So, using this, we get
\(\rm :\longmapsto\:y = sin^{ - 1} \bigg( \dfrac{2x}{1 + {x}^{2} } \bigg)\)
Now, we use Method of Substitution, So we substitute
\( \red{\rm :\longmapsto\:x = tanz \: \rm\implies \:z = {tan}^{ - 1}x}\)
So, above expression can be rewritten as
\(\rm :\longmapsto\:y = sin^{ - 1} \bigg( \dfrac{2tanz}{1 + {tan}^{2} z} \bigg)\)
\(\rm :\longmapsto\:y = sin^{ - 1} \bigg( sin2z \bigg)\)
\(\rm\implies \:y = 2z\)
\(\bf\implies \:y = 2 {tan}^{ - 1}x\)
So,
\(\bf\implies \: {cosec}^{ - 1}\bigg( \dfrac{1 + {x}^{2} }{2x} \bigg) = 2 {tan}^{ - 1}x\)
Thus,
\(\rm :\longmapsto\:\dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)\)
\(\rm \: = \: \dfrac{d}{dx}(2 {tan}^{ - 1}x)\)
\(\rm \: = \: 2 \: \dfrac{d}{dx}( {tan}^{ - 1}x)\)
\(\rm \: = \: 2 \times \dfrac{1}{1 + {x}^{2} } \)
\(\rm \: = \: \dfrac{2}{1 + {x}^{2} } \)
Hence,
\( \purple{\rm :\longmapsto\:\boxed{\tt{ \dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg) = \frac{2}{1 + {x}^{2} }}}}\)
Hence, Option (d) is correct.
Question 7 of 10 What is the slope of the line shown below? A. 2 B.-2 C.4 D.-4
Answer:
C. 4
Step-by-step explanation:
Use the slope formula y2-y1 / x2-x1
6+2/3-1
8/2
4
So, the answer is C. 4.
mass ma = 35 kg and mass mb = 28 kg . they have velocities (in m/s) v⃗ a = 11 i^ - 23 j^ and v⃗ b = - 23 i^ 13 j^.
The velocity of the center of mass of the system is -9.16\(\hat{i}\) - 4.26\(\hat{j}\) m/s.
We must compute the weighted average of the velocities of the two masses in order to determine the velocity of the system's center of mass.
The equation: gives the center of mass's velocity (\(V_{cm}\)):
\(V_{cm}\) = (\(m_{A}\) × \(v_{A}\) + \(m_{B}\) × \(v_{A}\))/(\(m_{A}\) + \(m_{B}\))
\(m_{A}\) = 31 kg(mass of A)
\(m_{B}\) = 30 kg(mass of B)
\(v_{A}\) = 11\(\hat{i}\) - 20\(\hat{j}\) (velocity of A)
\(v_{B}\) = -30\(\hat{i}\) + 12\(\hat{j}\) (velocity of B)
Substituting the given values into the equation, we have:
\(V_{cm}\) = (31 kg × (11\(\hat{i}\) - 20\(\hat{j}\)) + 30 kg × (-30\(\hat{i}\) + 12\(\hat{j}\)))/(31 kg + 30 kg)
Simplifying the expression, we get:
\(V_{cm}\) = (341\(\hat{i}\) - 620\(\hat{j}\) - 900\(\hat{i}\) + 360\(\hat{j}\))/61 kg
\(V_{cm}\) = (-559\(\hat{i}\) - 260\(\hat{j}\))/61 kg
Therefore, the velocity of the center of mass of the system is approximately -9.16\(\hat{i}\) - 4.26\(\hat{j}\) m/s.
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The complete question is:
Mass \(M_{A}\) = 31 kg and mass \(M_{B}\) = 30 kg . They have velocities (in m/s) \(\vec{v}_{A}\) = 11\(\hat{i}\) - 20\(\hat{j}\) and \(\vec{v}_{B}\) = -30\(\hat{i}\) + 12\(\hat{j}\). Determine the velocity of the center of mass of the system.
Express your answer using two significant figures. Enter your answers numerically separated by a comma.
If a 3ft stick in the ground cast a shadow of 1. 2ft what is the height of a tree that cast a shadow that is 14. 16
Answer: The height of the tree is 35.4 ft.
Step-by-step explanation:
14.16/1.2 = 11.8
3 * 11.8 = 35.4
This table shows the number of girls enrolled in school by class. If a student is chosen, which is the probability that a senior will be chosen?
freshman: 165
sophomore: 145
junior: 114
senior: 102
we need to multiply this number by 100 to get the as a percentage:
0.1806 * 100 = 18.06%
The probability of choosing a senior can be calculated using the formula:
P(senior) = (102/562) * 100
P(senior) = 18.06%
This means that there is an 18.06% chance of choosing a senior if a student is randomly selected from the school.
First, we need to calculate the total number of students in the school by adding together the number of students in each class:
Total = 165 + 145 + 114 + 102 = 562
Next, we need to calculate the probability of choosing a senior by taking the number of seniors enrolled in the school (102) and dividing it by the total number of students in the school (562).
102/562 = 0.1806
Finally, we need to multiply this number by 100 to get the probability as a percentage:
0.1806 * 100 = 18.06%
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find the domain of the graphed function
Answer:
C. -4 ≤ x ≤ 9
Step-by-step explanation:
The domain is the x, meaning how far the graph goes to the left and right.
We see on the left, the x gets to -4 and stops; on the right, the graph gets to about 9 and stops.
So, the domain of the graphed function is -4 ≤ x ≤ 9
There are 18 boys and 12 girls in a math class . What is the ratio of girls to total students
Answer:
The ratio of girls to total students is 12:30, which can be simplified to 2:5.
Step-by-step explanation:
You can express the ratio in different ways by using the same numbers, for example, you could say that for every 2 girls, there are 5 total students, or that for every 5 total students, 2 of them are girls.
3. A random sample of students were surveyed as to how much non-school screen time they had each week
and if their grade average was above or below 80.
What PERCENT of students who spend 4-8 hrs
average above 80. Round your answer to the nearest
The number of students who for between 4-8 hours and obtained an average above 80 expressed as a percentage is 11.7%.
Calculating PercentagesRather than expressing values in fractions. A certain portion of a whole lot or item can be multiplied by 100 to get its equivalent value expressed as a percentage .
From the table , the number of students who studied for 4-8 hours and also had a grade above 80 is 11.
Total number of students in the sample = 94
Expressing as a percentage;
(11/94) × 100%
= 0.117 × 100%
= 11.7%
Hence, the percentage value is 11.7%
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If f(x) is given as an equation and g(x) is given as a table, how i can tell they are inverses
Answer: f(x) and g(x) both represent y of the equations
Step-by-step explanation: f(x) and g(x) both represent the y of the equation for example f(x)=mx+b or g(x)+mx+b both would be to find y of that specific equation and that would also make them inverses because you could use the table to label the inverses on a graph.
he area of a rectangle is 44m , and the length of the rectangle is less than twice the width. Find the dimensions of the rectangle.
Answer:
4m x 11m
Step-by-step explanation:
4 is your width. 11 is your length.
4 x 4=16 > 11
Will Mark Brainlist!
Solve for x on the diagram below
Answer:
x = 50
Step-by-step explanation:
50 + 2x = 150
2x = 100
x = 50
Find the length of BC .
A 18°
B 2.20cm
C 168°
D 30.79cm
The length of BC is B. 2.20 cm
As per the known fact, the linear angle is 180°. As per this writing the equation -
∠ BC + 168 = 180
∠ BC = 180 - 168
∠ BC = 12°
Now, using formula for calculation of length of arc -
Length = angle/360×2πr, where r refers to radius
Calculating radius as -
Radius = diameter ÷ 2
Radius = 21 ÷ 2
Radius = 10.5 centimeters
Now keep the values in formula to find the length of arc, which is the value of BC
Length = 12/360×2×3.14×10.5
Length = 252×3.14/360
Length = 2.2 centimeters
Hence, the length of BC is B 2.20cm.
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The complete question is attached in image.
find the maclaurin series for the following function and determine its radius of convergence r. f(x) = ln 1 x 1 − x
The Maclaurin series for the following function determines its radius of convergence r. f(x) = ln 1 x 1 − x converges on the interval (-1, 1).
To find the Maclaurin series for f(x) = ln(1-x)/(1-x), we first note that this function is equal to the derivative of ln(1-x) with respect to x. Therefore, the Maclaurin series for f(x) converges on the interval (-1, 1).
Using the power series expansion for ln(1-x), we have:
ln(1-x) = -x - x^2/2 - x^3/3 - ...
Taking the derivative with respect to x and multiplying by 1/(1-x), we obtain:f(x) = (1/(1-x))(-1 - x - x^2/2 - x^3/3 - ...) * (1/(1-x))
Simplifying and grouping like terms, we get:f(x) = -1 - 2x - 3x^2 - 4x^3 - ...
This is the Maclaurin series for f(x). To find the radius of convergence r, we use the ratio test lim n->infinity |a(n+1)/a(n)| = lim n->infinity |(n+1)/(1+n)| = 1Since the limit is equal to 1, the radius of convergence is:
r = 1/lim n->infinity |a(n+1)/a(n)| = 1/1 = 1
Therefore, the Maclaurin series for f(x) converges on the interval (-1, 1).
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Describe the long run behavior of f(x)=5(2)x+1:
As x→−[infinity], f(x) =
As x→[infinity], f(x) =
The long run behavior of the function f(x)=5(2)x+1 is that it approaches 1 as x approaches negative infinity and it approaches infinity as x approaches positive infinity.
The long-term behavior of the function f(x)=5(2)x+1 can be discovered by examining how the function behaves as x gets closer to negative and positive infinity.
As x→−[infinity], f(x) = 5(2)^ -∞+1 = 5(0)+1 = 1
As x approaches negative infinity, the value of the function approaches 1.
As x→[infinity], f(x) = 5(2)^ ∞+1 = 5(∞)+1 = ∞
As x approaches positive infinity, the value of the function approaches infinity.
As a result, the function f(x)=5(2)x+1 behaves in the long run in such a way that it approaches 1 as x approaches negative infinity and infinity as x approaches positive infinity.
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5184 divided by 27
JUST ANSWER
Answer:
\(5184 \div 27 = 192\)
Step-by-step explanation:
Hope this helps you !!1.Round 3 601 111 to the nearest million
2. Round 17.81 to the nearest whole number
3. Round 59.52 to the nearest 1 d.p.
4. Round 7.176 to the nearest 2d.p.
(Pls help me…)
Answer:
See explanation
Step-by-step explanation:
Rules to follow when rounding
1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Eg: 56 rounded to the nearest ten is 60
2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 23 rounded to the nearest ten is 20
3. All the numbers to the right of the place you are rounding to become zero
1.Round 3 601 111 to the nearest million
= 4,000,000
2. Round 17.81 to the nearest whole number
= 18
An whole number is a number without a decimal point
3. Round 59.52 to the nearest 1 d.p.
= 59.5
1 d.p means one digits after the decimal point
4. Round 7.176 to the nearest 2d.p.
= 7.18
2 d.p means two digits after the decimal point
what is 30.7% of 520
Answer:
159.64
Step-by-step explanation:
30.7% / 100 = 0.307 then you would do
0.307 x 520 = 159.64
Calculate the Volume and surface area
Answer:
volume= 1040
surface area=696
Step-by-step explanation:
1/2x 13x10x16
=1040#
(1/2x12x10)2
=120
(16x13)2
=416
16x10
=160
120+426+160
=696#
If
you buy a $12,000 used car, calculate the sales tax which is 5.5% in
Madison. *
O $55
O $66
$550
O $660
Answer:
$660
Step-by-step explanation:
multiply 12,000 by 5.5% and get 660
under the surface z = 1 + x^2y^2 and above the region enclosed by x = y^2 and x = 4.
This integral will give us the volume of the solid under the surface z = 1 + x²y² and above the region enclosed by x = y² and x = 4.
What is integration?The summing of discrete data is indicated by the integration. To determine the functions that will characterize the area, displacement, and volume that result from a combination of small data that cannot be measured separately, integrals are calculated.
To find the volume of the solid under the surface z = 1 + x²y² and above the region enclosed by x = y² and x = 4, we can set up a double integral over the given region.
First, let's find the limits of integration for the variables x and y by considering the given equations x = y² and x = 4.
The region enclosed by x = y² and x = 4 can be visualized as a parabolic shape between x = 4 and x = 16 (since 4 is the square of 2, and 16 is the square of 4).
So, the limits of integration for x are from 4 to 16.
For each x value within this range, the limits of integration for y will be from the lower curve y = √x to the upper curve y = √4 = 2 (since the parabolic shape is symmetric about the y-axis).
Therefore, the limits of integration for y are from √x to 2.
Now we can set up the double integral:
∬(R) (1 + x²y²) dy dx,
where R represents the region of integration.
Integrating with respect to y first, the inner integral becomes:
∫[√x, 2] (1 + x²y²) dy,
Integrating this with respect to y gives:
[y + (x²y³)/3] evaluated from √x to 2.
Substituting the limits of integration:
[(2 + (8x²)/3) - (√x + (x²√x)/3)],
Now, we integrate this expression with respect to x:
∫[4, 16] [(2 + (8x²)/3) - (√x + (x²√x)/3)] dx.
Evaluating this integral will give us the volume of the solid under the surface z = 1 + x²y² and above the region enclosed by x = y² and x = 4.
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Select all situations which involve finding the volume of a figure.
A- Stacking boxes of pencils in a cabinet.
B- Filling a cone with ice cream.
C - Painting a water tank.
D- Pouring water into a container.
E- Covering a pile of rocks with a tarp.
F- Selecting the correct pan to hold the cake batter.
(it’s a muti answer answer thing)
Answer:
Its a b d and f
Step-by-step explanation:
I hope I helped
In order to qualify for a bowling tournament, bowlers bowl 20 games. The results are normal. The average score was 167 with a standard deviation of 24.2.
What is the probability a bowler will score between 162 and 189?
Answer:
189
Step-by-step explanation:
bc that's just what I think
The head librarian at the Washington County Library, can spend at most $4,400 to expand the children's section of the library. When she buys from a particular discount seller, paperback books cost $4 each and hardback books cost $23 each
The librarian can purchase at most 1100 paperback books and no hardback books; 191 hardback books and no paperback books; or 336 paperback books and 156 hardback books for a total cost of $4,400. in discount.
Let x be the number of paperback books and y be the number of hardback books that the head librarian at the Washington County Library will purchase in discount.
The total amount spent is given by the equation 4x + 23y. She has at most $4,400 to spend on the books.The constraint is given by the equation 4x + 23y ≤ 4400. Let's plot this constraint in the xy-plane below:To determine the vertices of the feasible region, we solve the system of equations4x + 23y = 4400y = 0x = 0The two equations above give the coordinates of the point (0, 0).
Now, we have two more systems of equations to solve. They are4x + 23y = 4400 and y = 0.Substituting y = 0 in the first equation above, we get4x + 0 = 4400, which gives x = 1100. Thus, the first point is (1100, 0).4x + 23y = 4400 and x = 0.Substituting x = 0 in the first equation above, we get0 + 23y = 4400, which gives y = 191.304... ≈ 191. Therefore, the second point is (0, 191).Now we are left with only one equation:4x + 23y = 4400.We solve for y in this equation:4x + 23y = 440023y = 4400 - 4xy = (4400 - 4x)/23.The third point is found by solving this equation. We get y ≈ 156.174, x ≈ 336.57 ≈ 337.The third point is approximately (337, 156).
The feasible region is the shaded triangle bounded by the lines x = 0, y = 0, and 4x + 23y = 4400:
Therefore, the librarian can purchase at most 1100 paperback books and no hardback books; 191 hardback books and no paperback books; or 336 paperback books and 156 hardback books for a total cost of $4,400.
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Organizational culture is set by a. the manager b. the ethics committee c. the engineer d. none of the given options
Organizational culture is defined as the common beliefs, values, attitudes, customs, behaviors, and traditions that characterize a specific organization and determine the manner in which it functions. Organizational culture is set by the manager.
In a corporate or business environment, organizational culture can influence the daily operations of employees. It is the responsibility of managers to create a positive culture that emphasizes teamwork, respect, integrity, and accountability. The manager is an essential individual responsible for establishing and maintaining the organization's culture, which will ultimately define the employee's attitudes, behaviors, and productivity levels. He or she sets the tone for the workplace by creating an environment that fosters collaboration, innovation, and success. Employees need to feel connected to their workplace and colleagues to be motivated to do their best work. If a manager promotes a culture of fear, competition, or dishonesty, employees may become unmotivated or unproductive. An effective manager understands the importance of creating a positive workplace culture and works hard to establish and maintain it. Managers can establish a positive culture by encouraging open communication, providing regular feedback and recognition, fostering a sense of teamwork, creating opportunities for professional development, and setting high standards for performance. Managers must lead by example and demonstrate the behaviors and attitudes that they expect from their employees. They must hold themselves and others accountable for their actions, communicate expectations clearly, and provide support when needed. A positive organizational culture will enable an organization to attract and retain top talent, increase employee engagement, and promote collaboration and innovation.
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If you know any of these please help!
Answer:
5: 13
6: 7
7: 26
8: 18
9: x=11 , y=3
Step-by-step explanation:
5:
9x + 2 = 119
9x = 117
x = 13
6:
12x - 8 + 104 = 180
12x - 8 = 76
12x = 84
x = 7
7:
5x + 7 = 8x - 71
3x = 78
x = 26
8:
7x - 61 = 4x - 7
3x = 54
x = 18
9:
9x + 25 = 13x - 19
4x = 44
x = 11
13(11) - 19 + 17y - 5 = 180
143 - 24 + 17y = 180
119 + 17y = 180
17y = 61
y = 3
There is a box with 6 marbles: 3 red, 1 blue, 1 green, and 1 yellow. What is the probability of picking yellow marble, keep it, and then picking a blue marble?
Answer:
1:6
Step-by-step explanation:
you have one out of 6 chances to pick the yellow marble
Answer:
yellow is 1 out of 6
blue 1 of 5
Step-by-step explanation:
brainliest if u want
hope it helps