what is the volume of the figure ?

By using the permutation formula, it can be concluded that there are 40320 ways to schedule the bands' appearances.

Permutations are different arrangements of elements formed from n elements, taken from n or some elements. In permutation, arrangement, or order matter.

P(n,r) = n! / (n-r)!  where:

n = number of objects

r = number of objects selected

If we want to know the ways to schedule the bands' appearances, it means that the arrangement matter. Thus we have to use the permutation formula:

P(n,r) = n! / (n-r)!

P(8,8) = 8! / (8 - 8)!

= 8!

= 40320 ways

Thus, there are 40320 ways to schedule the bands' appearances.

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Step-by-step explanation:

in geometry it is a plane figure with at least three straight sides and angles, and typically five or more.

By applying rate of change concept it can be concluded that the area will change at a rate of 176 cm² / minute.

Rate of change is the change in values of a dependent variable concerning the independent variables.

The rate of change of a function shows how the function is changing from one x value to another. Whilst, differentiation is when you have an instantaneous rate of change at a single point.

We have the following information:

The rate of change of a circle = 7 cm/minute = dr/dt

We have to find the rate of change of the circle when r = 4 cm

To do so, we will use the derivative of the circle area:

A = πr²

dA/dr = 2πr

dA/dt = dA/dr × dr/dt

         = 2πr × 7  

         = 14πr

Now we input r = 4 cm into this equation:

rate of change of the area =  14*22/7*4

                                            =  176 cm² / minute

Thus, when r = 4 cm, the area will change at a rate of 176 cm² / minute.

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Using probability we know that there is a 43% chance that the 27th person in the line would be a boy.

Probability is simply the possibility that something will happen. When we don't know how something will turn out, we can talk about the possibility of one outcome or the likelihood of several.

The study of events that fit into a probability distribution is known as statistics.

So, we know that:

The boys are 17.

The girls are 22.

Probability formula: P(E) = Favourable events/Total events

Then, the probability that the 27th person is a boy:

P(E) = Favourable events/Total events

P(E) = 17/39

P(E) = 0.43

P(E) = 43%

Therefore, using probability we know that there is a 43% chance that the 27th person in the line would be a boy.

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We can prove that the statement is false by contradiction, as if a triangle had two obtuse angles, the sum of the measures of the internal angles of the triangle would be greater than 180º.

To prove an statement by contradiction, we must simply take an statement that either accepts the statement (true) or rejects (false).

An angle is classified as obtuse if it has a measure that is greater than 90º.

The sum of the measures of the internal angles of a triangle is of 180º, hence if the triangle had two obtuse angles, then the sum of the measures of the internal angles of the triangle would be greater than 180º.

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On solving the provided question, we can say that in the provide quadrilateral DE = 132, DW = 74, EY = 70.

In terms of geometry, a quadrilateral is a four-sided polygon with four edges and four corners. Its origins are in the Latin terms quadri and latus (meaning "side"). A rectangle is a two-dimensional form with four sides, four vertices, and four corners.

Two main types of concave and convex exist. Convex quadrilaterals also have a number of subclasses, such as trapezoids, parallelograms, rectangles, rhombuses, and squares. A rectangle is a two dimensional shape with four straight sides. Quadrilaterals come in many various shapes, such as parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.

here,in the provide quadrilateral

The perpendicular bisectors of Its sides are X W, Y W, and Z W. They meet at a single point W.

from the question. So EW = DW = FW

and DZ=EZ

SO DE = 2 (DZ) = 2 × 66 = 132

EW = FW = DW = 74.

at At right triangle,  EWY.

EW= 74, YW=24

Using Pythagoras theorem,

So EX² =  EW²- WY² = 74² - 24² = 4900

EY = √4900 = 70.

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Answer: look at the image, and u better give me brainliest for this

Step-by-step explanation:

The inverse of the equation is f-1(x) = 2/(x - 3)

From the question, we have the following parameters that can be used in our computation:

f(x) = (3x + 2)/x

Express as

y = (3x + 2)/x

Swap x and y

This gives

x = (3y + 2)/y

So, we have

xy = 3y + 2

This gives

y(x - 3) = 2

Make y the subject

y = 2/(x - 3)

Hence, the inverse is f-1(x) = 2/(x - 3)

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Answer:

as x approaches - infinity g(x) approaches - infinity and as x approaches infinity g(x) approaches infinity

Step-by-step explanation:

so the third answer

According to the information, it can be inferred that Amit has to drive at a speed of at least 60 km/h to get to work on time.

To calculate the speed that Amit must have after the traffic jam to arrive at work on time we must perform the following mathematical operation:

speed = 60 * 5 / 18 m/s = 50 / 3 m/s

distance = 5000m

time = 300 seconds = 5 minutes

According to the above he traveled 5 km distance in 5 minutes. On the other hand to calculate the speed that the rest of the journey must have we must:

speed = 15 * 5 /18 = 25/6 m/s

distance = 1000m

time = 240 seconds = 4 minutes

Distance left = (24km -6km = 18km= 18000m

Time left = 21 minutes = 1260 seconds

         Speed = 14.28m/s

         Speed = 14.28 × 18/5 kmph

         Speed = 51.42 kmph

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5.8 + (-8.45)

Remove the plus sign and parentheses:

5.8 - 8.45

-2.65

That's your answer. Hope this helped!

Answer:

-2.65

Step-by-step explanation:

Hope this will help

Maximum possible income from sales is $2.6

Linear Programming also called linear optimization, is a method to achieve the best outcome(such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships. Linear Programming is a special case of mathematical programming (also known as mathematical optimization).

Linear Programming is used in many industries such as energy, telecommunication, transportation and manufacturing.

This linear function or objective function consists of linear equality and inequality constraints.

Given:

$15 to spend on golf balls x costing $1 each and

tennis balls y, 60 cents each.

Buy at least 16 together.

x + y ≥ 16

x + 0.6 ≤ 15

x - y ≥ 1

x = 9 and y = 7

[tex]9 + 0.6 \times 7[/tex]

9 + 4.2

13.2 < 15

x = 10 and y = 8

10 + 0.6 × 8

10 + 4.8

14.8 < 15

Maximum number of golf balls x = 10

And tennis balls y = 8

Greatest number of balls he can buy = 10 + 8 = 18

Maximum possible income = 10×0.1 + 8 × 0.2 = 1 + 1.6 = $2.6

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The exact value of the expression is 7√33/33

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given expression is sec[sin⁻¹(-4/7)]

We need to fine the exact value of the expression

sec[sin⁻¹(-4/7)]=√1-(-4/7)²/1-(-4/7)²

=√(1-16/49)/1-16/49

=√(1-16/49)/1-16/49

=√33/7/33/49

=√33/7×49/33

=7√33/33

Hence, the exact value of the expression is 7√33/33

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Answer:

Step-by-step explanation:

Let's assume the number of iPads sold by Target as "x".

Then, the number of iPads sold by Best Buy would be 8 times this value, which is 8x.

We are given that the difference in their sales is 490 iPads. So we can set up an equation:

8x - x = 490

Simplifying and solving for x:

7x = 490

x = 70

Therefore, Target sold 70 iPads, and Best Buy sold 8 times as many, or 560 iPads.

Two cars, an Audi and a Tesla, travel a 100 mile journey. The fastest car is Audi by 30mph.

While distance and displacement appear to have the same meaning, they actually have very different definitions and implications. Displacement is the measurement of "how far an object is out of place," whereas distance refers to "how much ground an object has covered during its motion."

The formula of the speed is given as:

Speed = distance / time

For Audi:

Speed = 100 / 2 = 50 mph

For Tesla:

Speed = 100 / 5 = 20mph

The difference between their speeds is:

50 - 20 = 30mph

Hence, the fastest car is Audi by 30mph.

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Answer:

Step-by-step explanation:

99.5 x 54 add 10

The fraction of the whole circle denoting the sector is 23/72.

What is fraction?

In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.

The whole circle has an angle of = 360°.

The measure of the sector of the angle is =  115°.

The fractional value of the sector is -

Measure of Sector angle / Measure of whole circle angle

Substitute the value into the expression -

115/360

23/72

Therefore, the fraction is 23/72.

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The amount deposited in the Patricia retirement savings plan are:

Amount deposited in the twentieth year is $1150.

Total amount deposited in time span of twenty years is $13,500.

Amount deposited by Patricia in the first year ' a₁ ' = $200

Difference between the amount deposited in the subsequent year is

'd' = $50

Amount deposited during 20th year

Let 'n' be the 20th year

The above situation represents it is arithmetic progression problem

nth term of A.P. is :

aₙ = a₁ + ( n - 1 ) d

Substitute the value we get,

a₂₀ = 200 + ( 20 - 1 ) 50

⇒ a₂₀ = 200 + 19 × 50

⇒ a₂₀ = 200 + 950

⇒ a₂₀ = $1150

Total amount deposited in twenty years

S₂₀ = (n/2) [ 2 a₁+ ( n - 1 )d ]

Substitute the value we get,

⇒S₂₀ = ( 20 /2 ) [ 2(200 ) + 19 × 50 ]

⇒ S₂₀ = 10 [ 400 + 950 ]

⇒S₂₀ = $13,500

Therefore, the amount deposited in the twentieth year is $1150 and total amount deposited in twenty years is $13,500.

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The solution of the given equation is -4.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equations is 3|5 - x| + 2 = 29

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

3|5 - x| =27

5-x=9

x=-4

Therefore, the solution of an equation is -4.

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"Your question is incomplete, probably the complete question/missing part is:"

Find the solution set for the equation below.

3|5 - x| + 2 = 29

The best measure of variability is the standard deviation.

Player A is the most consistent, with an IQR of 1.5.

The correct option is C.

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

Given:

The table shows the number of goals made by two hockey players.

Player A:

2, 3, 1, 3, 2, 2, 1, 3, 6

Mean = 2.56

S.D. = 1.51

Player B:

1, 4, 5, 1, 2, 4, 5, 5, 11

S.D. = 3.03

The best measure of variability is the standard deviation.

Player A is the most consistent, with an IQR of 1.5.

Therefore, the best measure of variability is the standard deviation.

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Answer:1.5

Step-by-step explanation:

The distributive property is often used to simplify algebraic expressions.

Algebra refers to the involving of unknown quantities into the block relationship between variables.

In this example, the expression 2(-3x + 5) can be simplified using the distributive property. The distributive property states that for any two numbers a and b, and a third number c, a(b + c) = ab + ac. Applying this property to our expression, 2(-3x + 5) = 2(-3x) + 2(5).

By expanding the expression, we see that 2(-3x + 5) = -6x + 10. This simplified expression is much easier to work with than the original expression. The distributive property can be applied to any expression in order to simplify it, making it easier to solve.

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Answer:

30025

Step-by-step explanation:

5² × 1201

5^2 = 25

25 x 1201 = 30025

Answer: a - a / (7a/3 - 21b)

Step-by-step explanation:

First, let's simplify the numerator:

(a^2 - 3ab) / 3b = a^2/3b - 3ab/3b = a^2/3b - a

Next, we'll simplify the denominator:

7a - 21b = 7a/3 - 7b

Now, we can simplify the entire expression:

(a^2/3b - a) / (7a/3 - 7b) = (3b * a^2/3b - 3b * a) / (7a - 21b * 3) = a - a / (7a/3 - 21b)

5 : 3  is the ratio of cooking times for the rice to pasta .

What does a math ratio mean?

When b does not equal 0, an ordered pair of numbers a and b, represented as a / b, is said to be a ratio. A percentage is an equation in which two ratios are made equal to one another.

                                   You might express the ratio as 1: 3 for instance, if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.

Rice takes 20 minutes to cook

pasta takes 12

the ratio of cooking times for the rice to pasta = 20  :  12

                                                                           = 5 : 3

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The number 0.54227406110177, is non- repeating and non- terminating, so, that is an irrational number.

We have to determine that the number 0.54227406110177, is rational or irrational.

There is infinite numbers of rationals or irrationals between two real numbers. Rational number is of form p/q where q≠0 and p and q are integers. For example 1/2 , 1/4 are rationals. To identify if a number is rational or not, check the following conditions :

The numbers which are not rational numbers are called irrationals. Here, see the number 0.54227406110177, no repetition of numbers in decimal form and non- terminating. So, it not a rational number. Hence, it is an irrational.

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The slope from points (5, -7) and (6, -4) is 3.

The slope of a line represents the stiffness or direction of a line. It is also defined as the change in the y-coordinate with respect to the x-coordinate.

The slope of a line from the points (x₁, y₁) and (x₂, y₂) is given by

Here we have

Points (5, -7) and (6, -4)

As we slope of the line is [y₂ - y₁]/[x₂ - x₁]  

Take (5, -7) = (x₁, y₁) and (6, -4) = (x₂, y₂)    

Slope from given points = [-4 - (-7) ]/[6 - 5]    

= [-4 + 7) ]/[1]  = 3    

Therefore,

The slope from points (5, -7) and (6, -4) is 3.

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The slope-intercept form of the linear equation is:

y = 7 + (7/3)*x

A linear equation in the slope-intercept form is:

y = a*x + b

So, to write the given line in that form, we just need to isolate the variable x.

We have the equation:

-7x + 3y = 21

3y = 21 + 7x

y = (21 + 7x)/3

y = 7 + (7/3)*x

That is the equation in the slope-intercept form.

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The zeros of the equation x² - 4x + 4 = 0 is 2.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

A quadratic equation,

x² - 4x + 4 = 0.

To find the zeros:

Solving further,

x² - 4x + 4 = 0.

x² - 2x -2x + 4 = 0.

x(x - 2) -2(x - 2) = 0.

(x - 2)² = 0.

x  = 2.

Hence, 2 is zeros.

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The complete question:

Solve the quadratic equation and find the zeros.

The equation,

x² - 4x + 4 = 0.

Answer:

y = -x + 5

Step-by-step explanation:

To find the equation of the line that is perpendicular to the line y = x + 6 and passes through the point (-4, -1), we'll use the slope-point form of the equation of a line. The slope of a line perpendicular to y = x + 6 is -1, which we can find using the negative reciprocal of the slope of y = x + 6. The slope of y = x + 6 is 1. The negative reciprocal of 1 is -1.

So the equation of the line perpendicular to y = x + 6 that passes through the point (-4, -1) is given by:

y - (-1) = -1(x - (-4))

Expanding and simplifying the right-hand side, we get:

y + 1 = -x + 4

y = -x + 5