Answer:
S∞ = 96
Step-by-step explanation:
an algebra class has 6 students and 6 desks. for the sake of variety, students change the seating arrangement each day. how many days must pass before the class must repeat a seating arrangement?
Using the concept of arrangements, 720 days must pass before the class must repeat a seating arrangement
The class has 6 students and 6 desks and students change the seating arrangement each day. We are asked to calculate the number of days that must pass before the class must repeat a seating arrangement.
The number of days that must pass before the class must repeat a seating arrangement is equal to the total number of seating arrangements.
Person one has 6 positions to choose from, person 2 has 5 positions to choose from and so on.
Total number of seating arrangements = 6 × 5 × 4 × 3 × 2 × 1
= 720
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Match each pair of equivalent values.
1.
square root of 16
2. square of 8
3. 42
4. 12
5. √4
6. √144
k
16
1
4
2
64
12
Answer:
1 -
12 - ?
4 - square root of 16
64 -
16 -
2.828 - square root of 8
Step-by-step explanation:"
I need more terms to match them.
If five bags of mulch covers 32 square feet,
how many square feet could 16 bags cover?
Answer:
102.4 square feet
Step-by-step explanation:
1. divide 32 by 5 to find how much square feet one bag of mulch covers
2. multiply that number (6.4) by 16 to find how many square feet 16 bags of mulch would cover
Answer:102.4 ft
Step-by-step explanation: do the math 32/5 = 6.4 6.4x16=102.4 ft
to find m∠JML, you can stop when you get the step 3x=126 degrees, right?
No, you cannot stop at the step 3x = 126 degrees. The measure of angle JML is approximately 56.67 degrees
What is the measure of angle θ?
A radian is the length of an arc formed by an angle that, when shown as a central angle, equals the length of the circle's radius.
No, you cannot stop at the step 3x = 126 degrees.
To find the measure of angle JML, we need to solve for x and then use that value to find the measure of the angle.
We can start by using the fact that the angles in triangle JLM must add up to 180 degrees. We have:
m∠JLM + m∠JML + m∠LMJ = 180
Substituting the given values, we get:
4x + (2x + 18) + (3x - 12) = 180
Simplifying and combining like terms, we get:
9x + 6 = 180
Subtracting 6 from both sides, we get:
9x = 174
Dividing both sides by 9, we get:
x = 19.33...
Now that we have the value of x, we can use it to find the measure of angle JML. We have:
m∠JML = 2x + 18
Substituting x = 19.33..., we get:
m∠JML = 2(19.33...) + 18 = 56.67...
Therefore, the measure of ∠JML is approximately 56.67 degrees
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What is the answer? How do I solve this?
You solve it using your brain.
a rectangular piece of cardbord of dimensions
A rectangular piece of cardbord has 3D dimensions.
What is the definition of a rectangle?Rectangles are enclosed 2-D shapes with four sides, four corners, and four right angles.Equal and parallel opposite sides make up a rectangle.
What are the properties of a rectangle ?The rectangle's properties are listed below:
There are four vertices and four sides.Every vertex has a 90-degree angle.The opposing sides have parallel and equal sides.Intersect each other diagonally.The perimeter of an object is equal to twice its combined length and width.Its area is calculated as the product of its length and breadth.It is a parallelogram and has four right angles.All inner angles added together equal 360 degreesTo know more about Rectangular visit;
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Three marbles are chosen from the bag below. What is the probability that all marbles chosen will be red? Write your answer as a fraction.
The probability that all marbles chosen are red is obtained using the hypergeometric distribution, which is presented during the answer.
What is the hypergeometric distribution formula?The mass probability formula is presented as follows:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.The meaning of each parameter for this problem is given as follows:
N is the total number of marbles.k is the total number of red marbles in the bag.n = 3 is the number of marbles that will be chosen.x = 3 is the desired number of red marbles.More can be learned about the hypergeometric distribution at https://brainly.com/question/14741653
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if the true population proportion for a sample size of 200 is found to be 0.2, then the standard error will be
The correct option is SE is 0.04. In statistics, a sample proportion is a statistic that represents the proportion of individuals in a sample who have a particular characteristic or belong to a certain category.
The standard error of the sample proportion can be calculated as follows:
SE = sqrt(p * (1 - p) / n)
Where p is the sample proportion and n is the sample size. In this case, the sample proportion is 0.2, and the sample size is 200. So, plugging these values into the formula, we get:
SE = sqrt(0.2 * (1 - 0.2) / 200)
SE = sqrt(0.16 / 200)
SE = 0.04
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Tina and her friends started a project called Lemonade for Lions. Every Saturday, they sell lemonade to raise money for lion conservation. One Saturday evening, they share the day's leftover lemonade evenly among the 4 of them. Each person gets 1/8 of a gallon of lemonade.
Which of the following is the length of the hypotenuse of an
isosceles right triangle if the length of one of the legs is 8 cm?
a 10.45 cm
b 10.30 cm
c 11.22 cm
d 11.31 cm
The length of the hypotenuse is 11.31 cm
How to determine the length of the hypotenuse of an isosceles right triangleFrom the question, we have the following parameters that can be used in our computation:
A right, isosceles triangle has its legs to be 8cm
Represen the length of the hypotenuse of the isosceles right triangle with x
Using the above definition as a guide, we have the following:
x = Leg√2
substitute the known values in the above equation, so, we have the following representation
x = 8 * √2
This gives
x = 11.31
HEnce, the hypotenuse is 11.31 cm
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Please help ASAP
PLEAAEE PUT ONLY CORRECT ANSWERS THIS IS EXTRA CREDIT AND I NEED MY GRADE TO GO UP PLEASE ANYONE HELP
Answer:
Step-by-step explanation:
... good luck
A regulation basketball has a DIAMETER of about 9.2 inches.
What is the volume to the nearest tenths?
Rounding to the nearest tenth, the volume of the basketball is: V ≈ 381.7 cubic inches ≈ 381.8 cubic inches (rounded to the nearest tenth)
What is volume?
Volume is a measure of the amount of space occupied by an object or a substance. It is typically measured in cubic units such as cubic meters, cubic centimeters, cubic feet, or cubic inches.
For solid objects, volume refers to the amount of space the object occupies in three-dimensional space.
The diameter of a basketball is 9.2 inches, which means the radius is half of that, or:
r = 9.2 / 2 = 4.6 inches
The formula for the volume of a sphere is:
V = (4/3)πr³
Substituting the radius into the formula, we get:
V = (4/3)π(4.6)³
V ≈ 381.7 cubic inches
Therefore, Rounding to the nearest tenth, the volume of the basketball is: V ≈ 381.7 cubic inches ≈ 381.8 cubic inches (rounded to the nearest tenth)
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Which answer choice below is equivalent to 50(1 + 0.15)* ?
A (50.15)
B
50 (1.15)
None of the above
D (57.5)
E (50+50.15)
All of the above
The equivalent expression to 50(1 + 0.15) is (b) 50(1.15)
How to determine the equivalent expressionFrom the question, we have the following parameters that can be used in our computation:
50(1 + 0.15)
When the expression in bracket is simplified,
We have the following representation
50(1.15)
The above expression is in option (b)
Hence, the equivalent expression is (b)
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Please help (will mark as brainlest)
Answer:
1)10abc^2+6a^2bc
2)6.6x^2yz-2.8xy^2z+0.5xyz^2
Step-by-step explanation:
A system of equations has one line with a positive slope and one line with a negative slope. which of the following statements is true?
A. There is not enough information to know whether the system is consistent or inconsistent.
B. The lines are parallel to each other.
C. The system is consistent.
D. The system is inconsistent.
The system is consistent.
What is meant by consistent?
A system of equations is said to be consistent when they have atleast one solution in common.
A system of equations has one line with a positive slope and one line with a negative slope
The system has 1 line with a positive slope, so a line that has a positive slope is going to be rising from left to right.
The second line that has a negative slope. So just a line ,it is decreasing. Now a negative slope means the line, falls from left to right or is downward sloping.
If 1 line has a positive slope and 1 line has a negative slope, then at some point those lines are going to intersect, which will be the solution to the system.
Hence, the system is consistent.
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The Screaming Salamanders, a new rock band, released their new music video early for subscribers of their fan page. When the video was released to the public, it already had 2,642 views. One day later, the number of views increased to 3,963, and the band expects that the number of views will continue to grow each day. Write an exponential equation in the form y=a(b)x that can model the total number of views, y, x days after the music video was released to the public. Use whole numbers, decimals, or simplified fractions for the values of a and b.
The exponential equation is y=2,642(2.5)ˣ. x represents the number of days.
What is the exponential function?Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
Given that a video was released to the public, it already had 2,642 views.
One day later, the number of views increased to 3,963.
The number of viewers after one day is ( 3,963 + 2,642 ) = 6,605
Assume that the exponential function y = a(b)ˣ represents the number of viewers. x represents the number of days.
Putting x = 0 and y = 2,642 in y = a(b)ˣ:
2,642 = a(b)⁰
a = 2,642
Putting x = 1 and y = 6,605 in y = a(b)ˣ:
6,605 = a(b)¹
Putting a = 2,642:
6,605 = 2,642(b)¹
b = 6,605/2,642
b = 2.5
Therefore, an exponential equation is y=2,642(2.5)ˣ.
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PLS HELP! Write 5x = -2y + 6 in slope intercept form and explain your answer
Answer: 5/2x-3
Step-by-step explanation: you would subtract 6 from both sides.
5x = 2y + 6
-6 -6
6-6=0 so they would cross out. and you can't subtract 5x from 6 because they aren't like terms. Your new equation would look like 5x-6 = 2y.
Now you need to get the y alone. To do that you need to divide everything by 2 so that the 2y crosses out. 5x-6 = 2y
-----------------
2 2 2
I'm trying to visually show it sorry if it looks weird. one you divide everything. (5/2) (-6/2) (2/2) you'll need to clean everything up.
Since you can't simply 5/2 leave it as a fraction. Which makes your answer: 5/2x - 3 = y or y = 5/2x - 3
Find −23−(−12). Write your answer as a fraction or mixed number in simplest form
The simplest fraction form of an expression, (- 2/3) - (-1/2) is equals to the -1/6.
A fraction is a number that represents a part of whole. It is expressed as quoitent, in which numerator is divided by denominator. For ex : 3/4 is a fraction, where 3 is numerator and 4 is denominator. We have an expression, (- 2/3) - (-1/2). This expression is substraction of two rational number and both are negative rational numbers. Using sign law of multiplication: - × - = + , i.e., multiplation of two negative numbers result positive number.
=> - 2/3 + 1/2
Both fraction has different denominators. Write as least common multiple of 2 and 3, i.e., LCM(2,3)= 6
=> ( -2 × 2 + 3 )/6
Simplify the expression as possible
=> (- 4 + 3 )/6
=> - 1/6
This is the needed simplified fraction. Hence, The solution in simplest fraction is -1/6.
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Someone help with this equation please!!
The angle congruence property illustrated is given as follows:
Symmetric Property of Angle Congruence.
What is states by the Symmetric Property of Angle Congruence?The symmetric property of angle congruence states that if if one geometric shape is congruent to a second shape, than the second shape is also congruent to the first.
The shapes in this problem are given as follows:
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Which of the following statements is true? Uso la computadora en la cafetería. Hago ejercicio en el laboratorio de ciencias. Nado en la piscina..
Answer:
Nado en la piscina..Step-by-step explanation:
ICA 2023
on a certain hot summers day, 613 people used the public swimming pool
The number of children and adults in swimming pool is 398 and 224.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form;
Ax + B = 0.
We are given that;
Number of people swimming=613
Price of children=$1.75
Price of adults= $2.25
Total= $1184.75
Let, number of children be x
Number of adults be y
Now, the equations will be
x+y=613....1
1.75x+2.25y=1184.75....2
On solving both the equations
X=389, y=224
Therefore, the solution of linear equation will be 389 and 224.
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The complete question is;
on a certain hot Summer's Day 613 people use the public swimming pool the daily prices are $1.75 for children $2.25 for adults the receipts for admission totaled $1184.75 how many children and how many adults when I am at the public for that day
In a group of 70 college students, 24 own only a laptop, 20 own only a desktop, 16 own both a
laptop and a desktop, and 10 own neither a laptop nor a desktop. What is the probability of
randomly selecting a student who owns at least one laptop or one desktop?
Answer:
85.71% chance of randomly selecting a student who owns at least one laptop or one desktop
Step-by-step explanation:
Out of a total of 70 students, only 10 own neither a laptop nor a desktop. This means that the probability of selecting a student with at least one of the two is [tex]\frac{60}{70}[/tex] or [tex]\frac{6}{7}[/tex].
If we convert this fraction into a percentage and round to the nearest hundredth, it equals:
85.71%
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1
The distance between Dallas and Houston is about 364 kilometers. There are approximately
measurement is closest to the number of miles between these two towns?
Answer
A 227.5 miles
B 582.4 miles
C 40 miles
D 372 miles
In a case whereby the distance between Dallas and Houston is about 364 kilometers the approximately measurement is closest to the number of miles between these two towns is A 227.5 miles.
How can the the approximately measurement be determined?The concept that will be used here is unit conversion. It should be noted that 1 Mile = 1.609344 kilometres.
Then Xmile = 364 kilometers
We can cross multiply to have
Xmile =364 kilometers/1.609344 kilometres.
=226.179
Hence the closest to the number of miles is A 227.5 miles
Therefore, option A is correct.
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HELP PLSSSSSSSSSSSSSSSSSSSSSSSSS
Answer: 165 (look at the image for the solution)
Step-by-step explanation:
Answer:
x = 655
Step-by-step explanation:
find the pressure of x and y by using radical expressions and then solving it with the theory called x ^2+ y^2 = c^2
The theater sells two types of tickets: adult tickets for $13 and child tickets for $3. Last night, the theater sold a total of 220 tickets for a total of $1820. How many adult tickets did the theater sell last night? Show your work here Enter your answer
The required adult tickets and 104 child tickets, which gives a total revenue of $1820.
What is equation of variable?An amount that can fluctuate depending on the mathematical issue is referred to as a variable. The generic letters x, y, and z are frequently employed in mathematical expressions and equations. A variable, then, is a symbol denoting a number whose value is unknown. In this case, x + 5 = 10. "X" in this case is a variable.
According to question:Let x be the number of adult tickets sold and y be the number of child tickets sold.
We know that the total number of tickets sold is 220:
x + y = 220
We also know that the total revenue from ticket sales is $1820:
13x + 3y = 1820
We can use the first equation to solve for y in terms of x:
y = 220 - x
Substituting this into the second equation, we get:
13x + 3(220 - x) = 1820
Simplifying this equation:
10x + 660 = 1820
10x = 1160
x = 116
Therefore, the theater sold 116 adult tickets last night.
To check, we can substitute x = 116 into the equation for y:
y = 220 - x = 220 - 116 = 104
So, the theater sold 116 adult tickets and 104 child tickets, which gives a total revenue of $1820.
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I need help with this one?
Rectangle A is similar to Rectangle B. The solution has been obtained by using concept of similar quadrilaterals.
What are similar quadrilaterals?
When all three matching angles are the same (the fourth angle automatically becomes the same because the internal angle sum equals 360 degrees) and two neighboring sides have the same ratio, two quadrilaterals are said to be similar.
We are given four rectangles with different dimensions.
First considering Rectangle A and Rectangle B
The dimensions of Rectangle A are 2 × 3 and that of Rectangle B are
8 × 12.
For the triangles to be similar, ratio of sides must be equal.
In this, the ratio is equal as the dimensions of Rectangle B are 4 times the dimensions of Rectangle A.
So, the rectangles are similar.
There is no other pair of rectangle which is similar.
Hence, Rectangle A is similar to Rectangle B.
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A. Write the word " SOLUTION" below the point/s that will satisfy the linear inequality y ≥ x + 4.show you solution
pati din B ah
The solution that will satisfy the linear inequality y ≥ x + 4 include the following:
2. (-1, 4).
4. (0, 4).
How to determine the solution?In order to determine which ordered pairs are valid and true solutions based on the given linear inequality, we would have to test the given ordered pairs by substituting their values into the linear inequality as follows;
For ordered pair (0, 0), we have:
y ≥ x + 4
0 ≥ 0 + 4
0 ≥ 4 (False).
For ordered pair (-1, 4), we have:
y ≥ x + 4
4 ≥ -1 + 4
4 ≥ 3 (True).
For ordered pair (2, 3), we have:
y ≥ x + 4
3 ≥ 2 + 4
3 ≥ 6 (False).
For ordered pair (0, 4), we have:
y ≥ x + 4
4 ≥ 0 + 4
4 ≥ 4 (True).
For ordered pair (-1, 4), we have:
y ≥ x + 4
0 ≥ -1 + 4
0 ≥ 3 (False).
In this exercise, we would use an online graphing calculator to plot the given system of inequalities 2x + y < 1 and 4x - 3y ≥ 12 as shown on the number line attached below.
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Jesse spends 12
of his pocket money on Monday. On Tuesday, he spends 23
of what is left. On Wednesday, he spends 14
of what remains. What fraction of the pocket money does he have left? Choose the most reasonable answer. CLEAR CHECK
13
43
66
18
The most reasonable answer for left pocket money to Jesse after spending it on Monday, Tuesday and Wednesday is 1/8.
Let's assume that the amount of pocket money Jesse has is "x".
On Monday, he spends 1/2 of his pocket money, so he has 1/2 of his pocket money left:
Amount left after Monday = x - (1/2)x = (1/2)x
On Tuesday, he spends 2/3 of what is left, which is 2/3 of (1/2)x:
Amount left after Tuesday = (1/2)x - (2/3)(1/2)x = (1/6)x
On Wednesday, he spends 1/4 of what remains, which is 1/4 of (1/6)x:
Amount left after Wednesday = (1/6)x - (1/4)(1/6)x = (1/8)x
Therefore, the fraction of the pocket money he has left is:
Amount left / Original amount = (1/8)x / x = 1/8
So, the most reasonable answer is 1/8.
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____The given question is incorrect, the correct question is given below:
Jesse spends 1/2 of his pocket money on Monday. On Tuesday, he spends 2/3 of what is left. On Wednesday, he spends 1/4 of what remains. What fraction of the pocket money does he have left? Choose the most reasonable answer.
PLEASE HELP!!!!!!!!!
1. y=-x^2+2 what is the
Domain:
Range:
Vertex:
Axis of symmetry:
y intercepts:
2. y=x^2-6x+3 What is the:
Domain:
Range:
Vertex:
Axis of symmetry:
y intercepts:
3: y=-2x^2-8x-5 What is the:
Domain:
Range:
Vertex:
Axis of symmetry:
y intercepts:
4. f(x)=-x^2+1 What’s the:
Domain:
Range:
Vertex:
Axis of symmetry:
y intercepts:
5. f(x)=-2x^2+8x-3 What’s the:
Domain:
Range:
Vertex:
Axis of symmetry:
y intercepts:
6. f(x)=2x^2+8x+1 what’s the:
Domain:
Range:
Vertex:
Axis of symmetry:
y intercepts:
mrs. starnes enjoys doing sudoku puzzles. the time she takes to complete an easy puzzle can be modeled by a normal distribution with mean 5.3 minutes and standard deviation 0.9 minute. what proportion of the time does mrs. starnes finish an easy sudoku puzzle in less than 3 minutes?
The proportion of the time that Mrs. Starnes finishes an easy sudoku puzzle in less than 3 minutes is approximately 0.0055, or 0.55%
We can use the normal distribution and the given mean and standard deviation to find the proportion of the time that Mrs. Starnes finishes an easy sudoku puzzle in less than 3 minutes.
First, we need to standardize the value of 3 minutes using the z-score formula:
z = (x - μ) / σ
where x is the value we want to standardize, μ is the mean, and σ is the standard deviation.
Substituting the given values, we get:
z = (3 - 5.3) / 0.9 ≈ -2.56
Next, we can use a standard normal distribution table or a calculator to find the proportion of the area under the standard normal distribution curve that corresponds to a z-score of -2.56. This proportion represents the proportion of the time that Mrs. Starnes finishes an easy sudoku puzzle in less than 3 minutes.
Using a standard normal distribution table, we can find that the area to the left of z = -2.56 is approximately 0.0055.
Therefore,
The proportion of the time that Mrs. Starnes finishes an easy sudoku puzzle in less than 3 minutes is approximately 0.0055, or 0.55%.
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