None of the above. The answer is 10! (10 factorial) which number is 3,628,800.
The number of ways to arrange 10 people in a line is 10! (10 factorial). This is equal to 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 which is 3,628,800.
The answer to the question is 10! (10 factorial). This is because in order to determine the number of ways to arrange 10 people in a line, you must multiply the number of people by every number between that number and 1. In this case, it would be 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 which is 3,628,800.
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HELPP this is the last question I need to answer asap
Answer:
x = 5, -5, 3, -3
Step-by-step explanation:
First, substitute u = x^2 into the equation, and we have
u^2 - 34u + 225 = 0
u = x^2
Factor u^2 −34u +225 using the AC method, and we get
( u - 25) ( u - 9) = 0
We know If any individual factor on the left side of the equation is equal to
0, the entire expression will be equal to 0, so
u - 25 = 0
u - 9 = 0
Next, we set u - 25 equal to 0 and solve for u, and we get
u = 25
Then set u - 9 equal to 0 and solve for u, and we get
u = 9
The final solution is all the values that make (u−25)(u−9) = 0 true.
u =25,9
Substitute the real value of u=x^2 back into the solved equation.
x^2 = 25
(x^2)^1 = 9
x^2 = 25
x = 5, -5
Now we solve the second equation
(x^2)^1 = 9
x = 3, -3
So, the answers are: 5, -5, 3, -3
Find the mean,median,mode, and range
84,96,72,77,91
Answer:
Mean - 84
Median - 77
Mode - 84, 96, 72, 77, 91 (Or no mode)
Range - 12
Step-by-step explanation:
Mean;
Step 1 - Add all the numbers up:
84 + 96 + 72 + 77 + 91
= 420
Step 2 - divide that by 5 (because there are 5 numbers):
420 ÷ 5
= 84
Median;
Step 1 - Put the numbers in order:
84, 72, 77, 91, 96
Step 2 - Find the middle number
84, 72, 77, 91, 96
Mode;
There aren't any repeated numbers so you can put all the numbers or no mode
84, 96, 72, 77, 91
Range;
Step 1 - Subtract the smallest number from the biggest number:
96 - 84
= 12
You're welcome :)
Use a trigonometric ratio to solve for z. Round to two decimal places as necessary!!
HELP, and can someone explain how to get the answer?
When the length of one side and the angle of one corner of a right-angled triangle are provided as 16 and 69°, respectively, trigonometric ratios are used to compute the value of b as 35.38.
what is trigonometric ratios ?The values of all trigonometric functions depending on the side ratio of a right-angled triangle are known as trigonometric ratios. The ratios of a right-angled triangle's sides to any acute angle are the angle's trigonometric ratios.
given
one side = 16
angle = 69°
one angle = 90° as right angle triangle
another angle = 69°+ 90° + x = 180°
= 155° + x = 180°
x = 25°
a / sin69° = 16 / sin25°
a = 35. 38
When the length of one side and the angle of one corner of a right-angled triangle are provided as 16 and 69°, respectively, trigonometric ratios are used to compute the value of b as 35.38.
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which pair of the forms a proportion 4/8 and25/50
Answer:
1/2
Step-by-step explanation:
If you want more equivalent fractions, then you can multiply it by different numbers. The same number should be multiplied in numerator as well as denominator. You can divide it with the smallest number possible to get the simplest form
Choose the number line that represents the fraction equivalent to three-twelfths.
A number line with zero, one twelfth, two twelfths, three twelfths, four twelfths, five twelfths, six twelfths, seven twelfths, eight twelfths, nine twelfths, ten twelfths, eleven twelfths, and one marked on it. A red line is drawn from the zero mark to the three twelfths mark.
A number line with zero, one eighth, two eighths, three eighths, four eighths, five eighths, six eighths, seven eighths, and one marked on it. A red line is drawn from the zero mark to the three eighths mark.
A number line with zero, one fourth, two fourths, three fourths, and one marked on it. A red line is drawn from the zero mark to the one fourth mark.
A number line with zero, one fifth, two fifths, three fifths, four fifths, and one marked on it. A red line is drawn from the zero mark to the one fifth mark.
A number line with zero, one sixth, two sixths, three sixths, four sixths, five sixths, and one marked on it. A red line is drawn from the zero mark to the one sixth mark.
A number line marked with zero, one twelfth, two twelfths, three twelfths, four twelfths, five twelfths, six twelfths, seven twelfths, eight twelfths, ten twelfths, eleven twelfths, and one. From the zero point to the three twelfths mark, a red line is painted.
What is fraction?A fraction is a portion of a whole or, more broadly, any number of equal pieces. In ordinary English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters.
Here,
Multiply one times three, and four by three.
It will equal to three out of twelve or 3/12.
=1/4
A number line marked with zero, one twelfth, two twelfths, three twelfths, four twelfths, five twelfths, six twelfths, seven twelfths, eight twelfths, ten twelfths, eleven twelfths, and one. From the zero point to the three twelfths mark, a red line is painted.
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i am good with graphs but not equations, plus i put 30 points for an answer. i need help
Carly reads at a faster rate than Monica. The number of pages in Monica's novel is greater than the number of pages in Carly's novel.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Carly Equation:
y= - 35x + 220
and, Monica equation:
slope = (90- 240)/ 5-0
slope = -150/5
slope= -30
and, the equation is
y- 240 = -30 x
y= -30x + 240
From comparing both cases Carly start with 220 pages and Monica with 240 pages and Carly will complete in 7 hours whereas Monica will complete in 8 hours.
Hence, Carly reads at a faster rate than Monica.
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2.) There were 145 pounds of flour at the bakery at the start of the day. The bakery uses 111 pounds of flour by the end of the day. What percent of flour did they use?
The bakery used 76.55 % of the flour by the end of the day.
How to calculate Percentage?
The percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.
To find the percent of flour used by the bakery, we need to divide the amount of flour used by the total amount of flour and then multiply by 100 to convert the decimal to a percentage.
We can use the formula:
percent used = (the amount used / total amount) x 100
In this case:
percent used = (111 / 145) x 100 = 76.55 %
Hence, The bakery used 76.55 % of the flour by the end of the day.
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What is a graph with x 3 called?
The graph with x 3 is called a cubic graph.
A graph is a visual representation of data, usually plotted on a two-dimensional plane. When graphing a function, the x-axis is used to represent the independent variable and the y-axis is used to represent the dependent variable. A graph with x 3 is a graph that shows the relationship between the independent variable, x, and the dependent variable, x3. This type of graph is called a cubic graph, as the graph follows a cubic equation.
The graph with x 3 is called a cubic graph.
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Is Root 3x 5 a polynomial?
No, Root 3x 5 is not a polynomial, because it does not meet the definition of a polynomial.
A polynomial is a mathematical expression consisting of variables and coefficients, which only uses the operations of addition, subtraction, multiplication, and non-negative integer exponents. In other words, it must be an expression that can be written in the form ax^n + bx^(n-1) + cx^(n-2) + dx^(n-3) + ... + z, where n is an integer, and a, b, c, d, ... and z are real numbers.
Root 3x 5 does not fit this definition, because it contains a square root (√) which is not one of the operations listed. Additionally, it does not fit the form of a polynomial, as it does not contain any coefficients or exponents. The formula for root 3x 5 is simply √3x 5, and the calculation is the square root of 3x 5, or √15, which is equal to 3.75.
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PLEASE HELP MEEEEEEEEE
The following results for the algebraic equation according to algebra properties are listed below:
x⁴ + 2 · x² · y² + y⁴ x⁴ + 4 · x² · y² x² · (x² + 4 · y²)How to expand an algebraic equationIn this problem we find an algebraic equation that must be expanded and simplified by means of algebra properties. Now we proceed to present the complete procedure. First, write the complete expression:
(x² + y²)² + 2 · x² · y² - y⁴ = x² · (x² + 4 · y²)
Second, expand the perfect square binomial:
x⁴ + 2 · x² · y² + y⁴ + 2 · x² · y² - y⁴ = x² · (x² + 4 · y²)
Third, use distributive property and add similar terms:
x⁴ + 4 · x² · y² = x² · (x² + 4 · y²)
Fourth, use distributive property once again:
x² · (x² + 4 · y²) = x² · (x² + 4 · y²)
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How do you change the base of an exponential function?
To change the base of an exponential function, we can use the formula:
log_b(a) = log_c(a) / log_c(b).
To change the base of an exponential function, you can use the property that logarithms with different bases are related by the following equation:
log_b(a) = log_e(a) / log_e(b)
Where log_b(a) is the logarithm of a to the base b and log_c(a) is the logarithm of a to the base e.
For example: To change log_3(7) to log_e(x)/log_e(y), we can use the property that logarithms with different bases are related by the following equation:
logb(a) = logc(a) / logc(b)
So log_3(7) = log_e(7) / log_e(3)
To find x and y we can use the logarithm properties and the definition of logarithm:
log_e(x) = log_e(7)
x = 7
log_e(y) = log_e(3)
y = 3
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The perimeter of a soccer field is 304 meters. The field is 96 meters long. How wide is it?
The perimeter of a soccer field is 304 meters. The field is 96 meters long. So, its wide becomes: 56 m
What is rectangular perimeter?The length of a two-dimensional shape's perimeter is referred to as its perimeter. The total length of all the sides of the thing is also a definition for it. The perimeter of the form is equal to the algebraic sum of each side's length. For the various geometric forms, there are formulae accessible. The radius of a shape's edge is known as the perimeter. Discover how to calculate a shape's perimeter by multiplying its side lengths.
Given that,
The perimeter of a soccer field is 304 m
length of the field is 96 m
wide = ?
As we know,
perimeter = 2 (length + width)
or, 304 = 2 (96 + width)
or, 304 = 192 + 2 width
or, width = 112 /2
or, width = 56 m
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Pablo has 21 coins in his coin collection. 9 of the coins are gold and the rest are silver. What is the ratio of the number of silver coins to the number of gold coins? 4) Write your answer as a fraction. Use a slash (/) to separate the numerator and denominator.
Answer:12/9
Step-by-step explanation:
subtract 9 from 21 and 21 will give you 12 silver coins which will be 12 silver coins to 9 gold coins
Debbie's bank offers an online bill pay service. For this, the bank charges $2.25
per month plus $0.10 per bill paid using the service. How many bills does she pay
each month if the charges are always between $3.50 and $5.00? (Note: She is not
allowed to pay part of a bill.)
please write as an inequality and show work
We know that the bank charges $2.25 per month plus $0.10 per bill paid using the service. Let x be the number of bills paid using the service.
The total cost of the service is:
Cost = 2.25 + 0.10x
We also know that the charges are always between $3.50 and $5.00. So we can write this as an inequality:
3.50 <= Cost <= 5.00
To find the number of bills, we can substitute the expression for cost into the inequality:
3.50 <= 2.25 + 0.10x <= 5.00
We can solve this inequality by isolating x on one side:
0.10x >= 1.25
x >= 12.5
So the number of bills paid using the service is greater than or equal to 12.5.
She could pay exactly 12 bills, 13 bills, 14 bills and so on.
The solution is x >= 12.5
Let's call the number of bills paid per month as "x"
We know that the total cost is:
$2.25 (fixed monthly fee) + $0.10x (cost per bill paid)
We also know that the total cost is between $3.50 and $5.00
Therefore, $3.50 <= $2.25 + $0.10x <= $5.00
To solve for x, we can first isolate x by subtracting $2.25 from both sides of the inequality:
$1.25 <= $0.10x <= $2.50
Now we can divide both sides of the inequality by $0.10 to get:
12.5 <= x <= 25
It means that the number of bills paid per month using the service is between 12 and 25 bills, Debbie can pay at least 12 bills and at most 25 bills.
Is the triangle with sides 25 cm 5 cm and 24 cm a right angle triangle give reasons for your answer?
It is possible to construct a triangle whose sides are 25 cm 5 cm and 24 cm because the sum of two sides are greater than third sides.
In the given question, we have to check that it is possible to construct a triangle whose sides are 25 cm 5 cm and 24 cm.
To check whether the given sides can make a triangle or not, we have to check that the sum of two sides always grater than the third side.
To check this we firstly add the 25 and 5
25 + 5 > 24
30 > 24
Now we add 25 and 24
25 + 24 > 5
49 > 5
Now we add 5 and 24
5 + 24 > 25
29 > 25
It is possible to construct a triangle whose sides are 25 cm 5 cm and 24 cm because the sum of two sides are greater than third sides.
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I need help im struggling
Answer:
5
Step-by-step explanation:
You should do cross multiplication.
Multiply 3 by 10 and 6 by 'h'
So 3×10=6h
6h=30
h=30÷6=5
What is the equation of this line in slope-intercept form?
y = −3x + 2
y = 3x −2
y = −1/3x +2
y = 3x + 2
Answer:
Y=-3x+2
Step-by-step explanation:
The basic formula is y=mx+b where m is the slope and b is the y intercept
If you look y is at positive 2. Then you can count from the y intercept to the point, it's down 3 over 1 so it would be -3/1 which is just -3
Solve using substitution.
Y = 2X + 10
Y = X + 2
Answer:
2+2%2%5+51%895%+8+81%9+61%+5%+8+%15+%
Answer:
(- 8, - 6 )
Step-by-step explanation:
y = 2x + 10 → (1)
y = x + 2 → (2)
substitute y = 2x + 10 into (2)
2x + 10 = x + 2 ( subtract x from both sides )
x + 10 = 2 ( subtract 10 from both sides )
x = - 8
substitute x = - 8 into either of the 2 equations and evaluate for y
substituting into (2)
y = - 8 + 2 = - 6
solution is (- 8, - 6 )
When 20 is added to a number, the result is 34. What is the number?
How many prime numbers are twins?
Total number of prime numbers which are twin are infinite and its general form is given ( 6n - 1 , 6n + 1 ) apart from ( 3, 5 ) where 'n' represents the natural number.
As given in the question,
Prime numbers are those numbers which have only two factors one and the number itself.
Prime numbers which are twins are defined as when the difference between two prime number is equal to 2.
Example of twin prime numbers are as follow :
( 3, 5 ) , ( 5, 7 ) , ( 11 , 13 ) , ( 17 , 19 ) , ( 29 , 31 ), ( 41, 43 ) ,...........,(6n - 1 , 6n + 1 )
where 'n' represents the natural number.
5 is the only prime number which exist in two pairs of twin prime numbers.
Apart from ( 3,5 ) all the twin prime numbers divided by 12.
Therefore, there are infinite prime numbers which are representing as a twin prime numbers.
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Brianna was out at a restaurant for dinner when the bill came. She wanted to leave a 23% tip. If dinner cost dd dollars and cents, which expression represents the cost of dinner plus tip?
The expression that that represents the cost of the dinner plus tip is d(23/100+1)
What is linear expression?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1.
Some of the examples of linear equations are 2x – 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, 3x – y + z = 3
The cost of the dinner = d
the cost of the tip is 23% of the cost of the dinner = 23/100 × d = 23d/100
Therefore the total cost of the dinner and the tip = 23d/100 + d
by bringing d out
The total cost of dinner and tip = d (23/100+1)
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The first five terms of n^2+4 are
Answer: a₁ = 5, a₂ = 6, a₃ = 13 are the only ones I could figure out, I apologize.
Step-by-step explanation: I hope this helps a little!
equivalent unit rate of $22.80
8lb
A moving company want to buy a new type of truck and need to know the volume of the torage compartment before they can decide if they hould purchae the truck. What’ i the volume of the torage compartment
The volume of the storage compartment is 1246 cube ft.
In the given question, we have to find the volume of the storage compartment.
The diagram of the question is given below.
If we see the diagram it forms two recatangle with the lengths given below.
As we know that the volume of the cuboid is
V = LBH
where, L = length, B = breadth, H = Height
Now finding the volume of the cuboid A.
So V(A) = 10*8*15
V(A) = 1200 cube ft
Now finding the volume of the cuboid B.
So V(B) = 2*8*3
V(B) = 48 cube ft
Now the volume of the storage compartment is the sum of the volume of cuboid A and volume of the cuboid B, then we subtract 2 ft because we count the 2 ft of height two times.
The volume of storage compartment = volume of the cuboid A + volume of the cuboid B - 2 ft
The volume of storage compartment = 1200 + 48 - 2
The volume of storage compartment = 1248 - 2
The volume of storage compartment = 1246 cube ft
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help me cause its due today
Answer:
(-2, 1)
Step-by-step explanation:
x = -2
-2(-2) + 2y = 6
4 + 2y = 6
2y = 2
y = 1
Casho is deciding between two different movie streaming sites to subscribe to. Plan A costs $40 per month plus $2 per movie watched. Plan B costs $34 per month plus $3 per movie watched. Let AA represent the monthly cost of Plan A if Casho watches xx per month, and let BB represent the monthly cost of Plan B if Casho watches xx movies per month. Write an equation for each situation, in terms of x,x, and determine the number of monthly movies watched, x,x, that would make the two plans have an equal monthly cost.
AA: y=40x+2
BB: y=34x+3
There are 3 feeder bus services plying to and from the nearby town center. Ahmed can ride on one of these services or walk to the town center. However, he decides that on this way back , he will ride on one of these services. In how many ways can he go to the town center and back ?
If he decided that on this way back , he will ride on one of these services then in total 9 ways he can go to the town center and back.
In the given question, there are 3 feeder bus services plying to and from the nearby town center.
Ahmed can ride on one of these services or walk to the town center.
However, he decides that on this way back , he will ride on one of these services.
We have to find in how many ways he can go to the town center and back.
According to the given conditions, we know that there are 3 feeder and we can use these feeder in 3 ways.
So we can write it as;
Number of ways he can go to the town center and back = 3 × 3
Number of ways he can go to the town center and back = 9
Hence, if he decided that on this way back , he will ride on one of these services then in total 9 ways he can go to the town center and back.
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Which of the following is a monomial ? *(d) a + b + c + d.(b) a + 6(a) 4x²(c) a + 6 + c
A monomial is an algebraic expression that consists of only one term. Examples of monomials include 4x², a + 6, and a + b + c + d.
In the given example, (a) 4x² is a monomial because it consists of only one term, 4x². (b) a + 6 is also a monomial because it consists of only one term, a + 6. (c) a + 6 + c is not a monomial because it consists of more than one term, namely a + 6 and c. (d) a + b + c + d is also not a monomial because it consists of more than one term, namely a, b, c, and d.
To calculate the value of a monomial, we must first determine its degree. The degree of a monomial is the sum of the exponents of its variables. For example, the degree of 4x² is 2 because it consists of only one variable, x, with an exponent of 2.
Once the degree of a monomial is determined, its value can be calculated by substituting the values of its variables. For example, if x = 3, then 4x² = 4(3)² = 36.
In summary, a monomial is an algebraic expression that consists of only one term. Its degree is the sum of the exponents of its variables. To calculate its value, substitute the values of its variables into the expression.
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Write the equation of the line in standard form:
2/3x+4/3y=6
The equation of the line in standard form is 2x + 4y = 18.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Linear equations may include one or more variables.
The equation of a line in standard form is,
Ax + By = C, where A, B and C are integers.
The equation given is,
(2/3)x + (4/3)y = 6
We need the coefficients to be integers.
Multiply throughout the equation by 3.
2x + 4y = 18, which is the standard form.
Hence 2x + 4y = 18 is the standard form.
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What are 4 ordered pairs?
An ordered pair is a refers to the of the x coordinate and the y coordinate of a point. They have two values which is written in a specific order and is quoted by parentheses.
It is used when we need to solve some problems and it also has utilization in the field of statistics.
Ordered pair are also used in coordinate geometry, they are used to portray geometric objects and figures in open space which helps to improve visual perception.
Ordered pairs are used to represent the center, vertices, and length of the sides of a square, circle, rectangle, or polygon with coordinates.
Example: ( 2 , 4).
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