Class : 12
Grade : High School
________
Formula = \(\tt{n!}\)
________
A = 1
N = 1
I = 1
M = 1
E = 1
________
Total = 5 alphabet
_______
= 5!
= 5 × 4 × 3 × 2 × 1
= 20 × 3 × 2 × 1
= 60 × 2 × 1
= 120 × 1
= 120
So, arrangements word from ANIME is 120 arrangements word
Find the mean of first 5 prime numbers.
Answer:
5.6
Step-by-step explanation:
First five prime numbers:
\(2,3,5,7,11\)
Add them up:
\(2+3+5+7+11=28\)
Calculate the mean:
\(\frac{28}{5} =5.6\)
Answer:
8.5
Step-by-step explanation:
We need to find the mean of first five prime numbers . We know that the first five prime numbers are ,
\(\sf\longrightarrow First \ 5 \ Prime\ numbers \ = 2, 3, 5 ,7,11 \)
We know that mean is ,
\(\sf\longrightarrow Mean =\dfrac{Sum \ of \ observations}{Number\ of\ observations } \)
Substitute the respective values ,
\(\sf\longrightarrow Mean =\dfrac{ 2+3+5+7}{2}\)
Add the numbers in numerator ,
\(\sf\longrightarrow Mean =\dfrac{ 17}{2} \)
Divide ,
\(\sf\longrightarrow\boxed{\blue{\sf Mean = 8.5 }} \)
Hence the mean is 8.5
Elisa and her friend are dividing a 34-ounce bag of pretzels. Elisa
shares her portion equally with her two sisters. Which fraction
represents the amount of pretzels, in pounds, each person receives?
A. 17/48 lb
B. 2 1/8 lb.
c. 11 1/3 lb.
D. 1/2 lb.
Amount of pretzel each person receives is 17/16 lb.
What are Fractions?Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.
Here, a is called the numerator and b is called the denominator.
Total weight of the bag of pretzels = 34 ounce
Elisa shares this among her two sisters equally.
Share of pretzels each sister gets = 34 / 2 = 17 ounces
We need this amount in pounds.
We know that,
16 ounce = 1 lb.
17 ounces = 17/16 lb.
Hence the amount of pretzels each get is 17/16 lb.
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Find the area of the region that lies above the x-axis, below the curve x=t^2+7t+8,y=e−tx=t^2+7t+8,y=e-t with 0≤t≤10≤t≤1. Give your answer exactly or round to four decimal places.
The area of the region that lies above the x-axis, below the curve \(x=t^2+7t+8\), y=e^-t with 0≤t≤1 is approximately 2.1185 square units.
To find the area of the region bounded by the x-axis and the curve, we need to integrate the curve between the limits of t=0 and t=1.
∫₀¹ \(e^-t dt = [-e] ^{-t}\)from 0 to 1 = 1 - 1/e
So, the equation of the curve intersects the x-axis when y=0. To find the x-coordinate of the intersection point, we set y=0 in the equation of the curve:
\(0=e^-t\)
t=0
Thus, the intersection point is (8,0). We also need to find the value of t for which the curve is at its lowest point. To find the minimum point of the curve, we take the derivative of the equation of the curve and set it equal to zero.
y' = \(-e^{-t(2t+7)}\)
0 = \(-e^{-t(2t+7)}\)
t = -7/2
Since t is bounded by 0 and 1, the minimum point of the curve lies within the given range of t. Therefore, the area of the region bounded by the x-axis and the curve is given by the definite integral:
∫₀¹\((t^2+7t+8) e^{-t} dt\)
This integral can be evaluated using integration by parts. After integrating, differentiating, and simplifying, we get:
∫₀¹\((t^2+7t+8) e^{-t} dt\) = 2.1185 (rounded to four decimal places).
Therefore, the area of the region that lies above the x-axis, below the curve\(x=t^2+7t+8\), \(y=e^-t\) with 0≤t≤1 is approximately 2.1185 square units.
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What is the inverse of the logarithmic function f/x Logg X?.
An exponential function F(y)=g^y (g power y).
The log function is one of the functions and We know that the inverse of a log function is an exponential. So, we know that the inverse of f(x) = log subb(x) is f^-1(y) = b^y. If the base is e and we are dealing with the natural log, then the inverse of f(x) = ln(x) is f^-1(y) = e^y.Rewriting these relationships substituting f(x) with y and f^-1(y) with x, we see that the inverse of y = log subb(x) is x = b^y and the inverse of y = ln(x) is x = e^y. Both the inverse and the original function state the same relationship,
so now,
f(x)=log base g x.
g^f(x)=x
g^y=f(y).
f(y)=g^y.
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How many pivot columns must A have if its columns span R5? Why? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The matrix must have pivot columns. If A had fewer pivot columns, then the equation Ax = 0 would have only the trivial solution. B. The matrix must have pivot columns. The statements "A has a pivot position in every row" and "the columns of A span R5" are logically equivalent. C. The matrix must have pivot columns. Otherwise, the equation Ax = 0 would have a free variable, in which case the columns of A would not span R5. D. The columns of a 5x7 matrix cannot span R5 because having more columns than rows makes the columns of the matrix dependent.
The matrix must have pivot columns. Otherwise, the equation Ax = 0 would have a free variable, in which case the columns of A would not span R5. Therefore, the correct answer is C.
A pivot column is a column of the matrix that has a non-zero entry in the pivot position and all entries below the pivot are zero. In row echelon form, every row below a pivot column has a zero in the corresponding position. The pivot columns correspond to the linearly independent columns of the original matrix and the number of pivot columns determines the rank of the matrix.
The rank of a matrix is defined as the number of linearly independent columns or rows in the matrix. If the columns of a matrix span Rn, then the rank of the matrix must be equal to n. This means that the matrix must have n linearly independent columns. To ensure that the columns of A span R5, A must have at least 5 pivot columns. If A had fewer pivot columns, then the equation Ax = 0 would have a non-trivial solution, meaning that the columns of A would not be linearly independent and would not span R5.
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A donut store uses 7.7 kilograms of sugar each hour. How many kilograms of sugar will the store use in 7 hours?
Answer:
53.9 Kilograms of sugar in 7 hours
Step-by-step explanation:
7*7.7=53.9
Rearrange N=k+4 to make k the subject
Answer:
k = N/4
Step-by-step explanation:
N = k +4
since we are to make k the subject
therefore divide both side by 4
To make k the subject of the equation N=k+4, subtract 4 from both sides. The equation then becomes 'k=N-4'. This represents the number of groups (k) in terms of the total number of cases (N).
Explanation:To make k the subject of the equation N=k+4, you need to isolate k on one side. This is done by reversing operations applied to k. In this case, the operation applied to k is addition, so to reverse it, you need to subtract.
Step-by-step process:
Start with the original equation: N=k+4Subtract 4 from both sides: N-4=kSo, k is equal to N-4. In other words, the number of groups (k) is equal to the total number of cases (N) minus 4.
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To calculate $51^2$, Alex mentally figures the value $50^2$ and adds 101. Alex subtracts a number from $50^2$ to calculate $48^2$. What number does she subtract?
Alex want to subtract 196 from . So here we have to know about basic mathematical calculation.
What is calculation?
Calculation is a mathematical process we take one or more input to get one or more output. For this we uses various operations like Addition , Subtraction, Multiplication, Division, Percentage etc.
In addition we add one or more no to other and get output.
Example : 5 + 4 + 6 = 15
In addition we subtract smaller by the bigger no.
Example : 5 -4 = 1
In Multiplication we multiply two or more number to get output.
Example : 5 x 4 x 6 = 120
In division we divide smaller number by the big one to take output.
Example : 12 / 6 = 2
So , In question, \(50^{2} - 48^{2} =196\)
So, My answer is 196.
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PLEASE HELP ME ANSWER THIS QUESTION! QUICK POINTS!!!
Step-by-step explanation:
2.5<x<8.0???????????
Answer:
5.5 < x < 10.5
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
8 - 2.5 < x < 8 + 2.5
5.5 < x < 10.5
A. 11:
B. 12:
C. 13;
Question 3: The sum of six consecutive positive odd integers starting with n is a perfect cube.
Find the smallest possible n.
A. 8:
B. 16;
C. 25:
D.27;
E. 36.
ides 2
Answer:
sssss
Step-by-step explanation:
Answer:
............ssss...........ssddsssssssss
A, O and B lie on a straight line segment where
A=24,B=40 C=31
i)AOB=
ii)ZOB=
iii)XOY=
iv)AOY=
v)YOZ=
Answer:
Step-by-step explanation:
AOB=180°
ZOB =c=31°
XOY=b= 40°
AOY= a+b =24+40 = 64°
YOZ =180-a-b -c=180-24-40-31=85°
Hope this helpsxx
Elena went to a store where you can scoop your own popcorn and buy as much as you want. She bought 10 ounces of spicy popcorn for $2.50. How much popcorn can you buy per dollar? Do not include units (oz) in your answer.
Answer:
4
Step-by-step explanation:
$2.50 → 10 ounces
$1.00 → (10/2.50 x 1.00) ounces = 4 ounces
Jim received a gift card for 100 dollars for a pizza restaurant the restaurant charges 15 dollars per pizza. Yoko received a gift card of 70 dollars for a different pizza restaurant. The restaurant changes 10 dollars per pizza. Write an equation to show when two cards would have the same amount of money left in them.
The equation when both cards would have the same amount of money left is 30 = 5p.
When would both cards have the same amount of money?An equation is an algebraic expression that has an equal to sign. A linear equation is an equation that has a single variable that is raised to the power of one. When drawn on a graph, a linear equation is a straight line
Amount left on the gift card = value of the gift card - (amount spent on pizza x number of pizzas bought)
Amount left on Jim's gift card = 100 - ($15 x p)
100 - 15p
Amount left on Yoko's gift card = 70 - (10 x p)
70 - 10p
When both cards have the same amount of money left, the two above expressions would be equal
100 - 15p = 70 - 10p
Combine similar terms:
100 - 70 = 15p - 10p
Add similar terms:
30 = 5p
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The amount of money in a bank account doubles every 3 months, what would be the growth factor for 1 month? Explain how you got your answer.
Answer:
Explanation:
She received 900 beads, and 10% of them were green. How many green beads did Liz receive?
Therefore, Liz received about 90 beads that were green.
Hoped this helped.
\(-BrainiacUser1357-\)
Answer:
90
Step-by-step explanation:
10 is 10% of 100 so then 10 times 9 = 90.
Every time Ezequiel rides the bus, money is deducted from the value of the pass. He rode 9
times and $72 was deducted from the value of the pass. What integer represents the
amount lost EACH time the pass was used? (
The integer 8 represents the amount lost each time the pass was used.
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
Given that, every time Ezequiel rides the bus, money is deducted from the value of the pass.
He rode 9 times and $72 was deducted from the value of the pass.
Let x be the integer that represents the amount deducted each time.
The amount deducted after 9 times is 9x.
9x = 72
We have to divide 72 into 9 parts to know the value of x.
x = 72 / 9 = 8
Hence Ezequiel lost $8 each time the pass was used.
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Estimate the area of the rectangle.
Responses
A 8 square units8 square units
B 20 square units20 square units
C 14 square units14 square units
D 10 square units
The area of the rectangle is \($\sqrt{20} \times \sqrt{5} = \sqrt{100} = 10$\) square units. Thus, the answer is option D: 10 square units.
What is area of rectangle?
The area of a rectangle is the measure of the region enclosed by its sides, and is calculated by multiplying the length and the width of the rectangle. The unit of area is typically expressed in square units, such as square meters (m²) or square feet (ft²).
The area of rectangle can be calculated using the distance formula to find the length and width of the rectangle, and then multiplying them. Let A(2,1), B(1,3), C(5,5), and D(6,3) be the coordinates of the rectangle's vertices.
The distance between A and B is \(\sqrt{(1-2)^2 + (3-1)^2} = \sqrt{1+4} = \sqrt{5}$.\)
The distance between B and C is \(\sqrt{(5-1)^2 + (5-3)^2} = \sqrt{16+4} = \sqrt{20}$.\)
So, the length of the rectangle is \(\sqrt{20}$ units.\)
The distance between A and D is \(\sqrt{(6-2)^2 + (3-1)^2} = \sqrt{16+4} = \sqrt{20}$.\)
The distance between C and D is \(\sqrt{(6-5)^2 + (3-5)^2} = \sqrt{1+4} = \sqrt{5}$.\)
Therefore, the width of the rectangle is \(\sqrt{5}$ units.\)
Hence, the area of the rectangle is \($\sqrt{20} \times \sqrt{5} = \sqrt{100} = 10$\) square units. Thus, the answer is option D: 10 square units.
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Evaluate. 5 - 1 S S (8x+y) dx dy 0 - 4 5 1 S S (8x+y) dx dy = $implify your an (ar 0 - 4
The value of the given expression is 0.
What is the result of the expression?When evaluating the given expression, we need to integrate the function (8x+y) with respect to both x and y over the specified limits. The integral of 8x with respect to x is 4x^2, and the integral of y with respect to y is 0. Therefore, the integral of (8x+y) dx dy simplifies to 4x^2y.
Next, we substitute the limits of integration, which are from x = 0 to x = 4 and from y = 5 to y = 1. Plugging these values into the expression 4x^2y, we get:
4(4^2)(1) - 4(0^2)(5)
= 4(16)(1) - 4(0)(5)
= 64 - 0
= 64
Thus, the overall value of the given expression is 64.
Integration is a fundamental concept in calculus, involving finding the area under a curve or the accumulation of a function. In this particular case, we evaluated a double integral, integrating a two-variable function over a rectangular region. The limits of integration determine the range over which the integration occurs, and the resulting expression simplifies to a single value. Understanding integration and its applications is crucial in various fields, including physics, engineering, and economics.
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Lakesha is taking three of her friends to see the latest movie. Each ticket is $5.50, and she is paying for all four tickets. How much money does Lakesha need to bring to pay for all of the tickets? A. $16.50 B. $22.00 C. $49.50 D. $55.00
Answer: $22
Step-by-step explanation:
$5.50 * 4 = 22
Answer:
B. $22.00
Step-by-step explanation:
The expression you need to set up is 5.5 times 4, since she needs to pay 4 tickets and each is $5.50. After you multiply, you should get 22, which is the answer.
if you are selecting 2 cards from the standard deck of cards without replacement, what is the probability that both cards will be a jack(j)?
The probability of selecting two jacks from a standard deck of cards without replacement is 1/221, or 0.0045.
The probability of selecting two jacks from a standard deck of cards without replacement is 1/221, or 0.0045. This is because there are 52 cards in a standard deck, and there are 4 jacks. Therefore, the probability of selecting one jack is 4/52, or 1/13. When selecting without replacement, the probability of selecting the second jack is 3/51, since one of the jacks has already been chosen. Multiplying the two probabilities together gives us the probability of selecting two jacks without replacement: 4/52 x 3/51 = 12/2652 = 1/221. This means that the probability of selecting two jacks from a standard deck of cards without replacement is 1/221, or 0.0045. This is a very low probability, which means that it is unlikely that two jacks will be chosen in a single selection.
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Peggy has twice as many apples as kiwis, and three times as many pears as apples. How many pears does she have, if she has 72 apples, kiwis and pears all together?
Answer:
Let's do this step by step
Since there are 72 apples, the pears are 3 times as much. So multiply by 3
\(72 * 3=216\)
So there would be 216 pears.
Now for Kiwis
They are 2 times as much, Multiply by 2
\(72 *2=144\)
All together with the kiwi and the pears are
\(216+144=360\)
And all the fruits together it would be
432
Hope this helps
Answer by
Fishylikeswater
The number of pears, apples and kiwis Peggy has is 216, 72 and 144 respectively.
How many pears does she have?Number of apples = 72 apples
Number of kiwis = 2 × 72
= 144 kiwis
Number of pears = 72 × 3
= 216 pears
Therefore, Peggy has 144 kiwis
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What am I doing right
The length of a bridge is 180 m. The length of each of Robert's paces is 55 cm.
What is the minimum number of full paces that it would take Robert to walk the full length of the bridge?
Answer:
328 paces
Step-by-step explanation:
180m=180,00cm
18000÷55=3600/11=327 3/11
The surface area of a sphere is approximately 1500 square inches. what is the approximate volume of this sphere in cubic inches?
The approximate volume of the sphere is 5469.853 cubic inches.
To find the volume of a sphere, you need to know its radius. However, in this case, you have been given the surface area instead of the radius. So, let's first find the radius of the sphere using the given surface area.
The surface area (A) of a sphere is given by the formula:
A = 4πr²
where r is the radius of the sphere.
In this case, the surface area is approximately 1500 square inches, so we have:
1500 = 4πr²
Dividing both sides of the equation by 4π, we get:
r²= 1500 / (4π)
r²≈ 119.6835
Taking the square root of both sides, we find:
r ≈ √119.6835
r ≈ 10.943
Now that we have the radius (approximately 10.943 inches), we can find the volume (V) of the sphere using the formula:
V = (4/3)πr³
Substituting the value of r, we have:
V ≈ (4/3)π(10.943)³
V ≈ (4/3)π(1303.289)
V ≈ 5469.853 cubic inches
Therefore, the approximate volume of the sphere is 5469.853 cubic inches.
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PLEase help me out (PLSSSSSS)PLSSSSSS
Answer:
1. Y
2.N (Positive 8)
3. N (< 5)
4. Y
5.N
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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i need help with this ASAP
The measures of the exterior angles of a triangle are 2x°,6x°, and 7x°. Solve for x.
Answer:
24 degrees
Step-by-step explanation:
The sum of the exterior angles of a triangle is 360 degrees
2x + 6x + 7x = 360
15x = 360
x = 24
Answer:
x=24
Step-by-step explanation:
2x+6x+7x=360
15x=360
15x/15=360/15
x=24
The Martins' swimming pool is a square
and is in the center of a square plot that
is 35 meters on a side. They have 1,056
square meters of lawn.
108
How long is a side of the pool?
The length of the side of the pool is 12 m.
What is the area?The quantity area demonstrates the amount of a sector on a planar or hemispherical cup. Surface area refers to the area of an open surface or the border of a multi-object, whereas the area of a plane region or plane field refers to the area of a form or planar material.
Let A represent the square plot's area. Its area is A = 352 = 1225 m2 since the plot is square and has 35 m sides.
Let A' represent the lawn area. A' equals 1081 m2 since the grass has a 1081 m² surface area.
The area of the pool is now the area that separates the square plot's area from the area of the grass. So, let A" represent the size of the square pool.
A'' = A - A'
A'' = 1225 m² - 1081 m²
A'' = 144 m².
The swimming pool is square, thus L is the length of one of its sides.
L = √A''
L = √144 m²
L = 12 m
The length of the side of the pool is 12 m.
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javier bought 2 sweaters and 3 pairs of pants for $176, Later he bought 5 sweaters and 2 pairs of pants for $209. What is the cost of each sweater and pair of pants
Answer:
Sweater = $25
Pants= $42
Step-by-step explanation:
Write an equation for both statements and identify the what each value means
so;
x is for sweater and y is for pair of jeans
Equation for 1st statement;
\(2x + 3y = 176 \\ \)
Equation for 2nd statement
\(5x + 2y = 209\)
Graph these two equations and find the intersection point of it.
Hope this helps.