given that the selected individual has at least one card, what is the probability that he or she has a visa card?

The inverse function of the given function is

              f ⁻¹(x)  = x³ + 15x² + 75x + 123

What are inverse functions?

A function that can reverse into another function is known as an inverse function or anti-function. In other words, the inverse of a function f will take y to x if any function f takes x to y. When a function is written as f or F, its inverse is written as f⁻¹ or F⁻¹.

The given function is ∛(x+2) - 5

One of the properties of the inverse function is

f( f ⁻¹ x) = x

We utilise this property to find f ⁻¹ x.

f(x) = ∛(x+2) - 5

f( f ⁻¹x) = ∛( f ⁻¹(x) + 2) - 5

Using the above property

x = ∛( f ⁻¹(x) + 2) - 5

x + 5 = ∛( f ⁻¹(x) + 2)

Cubing both sides,

(x+5)³ =  f ⁻¹(x) + 2

x³ + 15x² + 75x + 125 = f ⁻¹(x)  + 2

f ⁻¹(x)  = x³ + 15x² + 75x + 123

Therefore the inverse function of the given function is

              f ⁻¹(x)  = x³ + 15x² + 75x + 123

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Answer:

Sofia has a total of 7 cups + 1 cup = 8 cups of paint.

The proportion of red paint to the total amount of paint is 1 cup / 8 cups = 1/8.

So the fraction representing the proportion of red paint out of the total amount of paint is 1/8.

Answer: 1/8

Step-by-step explanation:

She uses 8 cups of paint and one of those 8 cups is red so it would be 1 red cup out of 8 cups or 1/8

Answer:

linear, function

Step-by-step explanation:

linear.. straight line

function.. for every x there is only one y

Answer:

57

Step-by-step explanation:

morning bestie hgcj hcvjhcv jdvzdh

The value of a is 12 when transversal t crosses over parallel lines p and s.

A transversal line is one that crosses two or more other lines. A transversal is frequently used in geometry to establish connections between angles created by crossing lines. When a transversal connects two parallel lines, it produces equivalent pairs of alternate interior and alternative exterior angles. These connections can be used to demonstrate the parallelism of two lines. In a broader sense, the term transversal refers to any line that meets another line, regardless of their angle connections. A transversal, for example, might be used to locate the point of intersection of two lines or to divide a form into two distinct pieces.

Here,

5a-2+10a+2=180

15a=180

a=12

The value of a for which transversal t passes through parallel lines p and s is 12.

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Using the concept of permutation and combinations, the friends can split donuts in 1680 ways

It is given that 3 different friends are splitting 9 different donuts among themselves equally so each person gets 3 donuts and we need to determine in how many ways it can be done.

We will use here the concept of permutation and combinations.

Number of ways to choose donuts for the first person = ⁹C₃

Number of ways to choose donuts for the second person = ⁶C₃

Number of ways to choose donuts for the third person = ³C₃

Total number of different ways to split donuts = ⁹C₃ × ⁶C₃ × ³C₃

                                  = 84 × 20 × 1

                                  = 1680 ways

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The angles between 0 and 2π that is coterminal to 780° are 2π and π/3.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The coterminal angle to 780°.

The coterminal angle is between 0 and 2π.

Now,

The coterminal angles can be positive or negative.

The coterminal angles are calculated by adding or subtracting 360 degrees as many times as needed from the reference angle.

Now,

780 - 360

= 780 - 360

= 360

= 2π

780 - (2 x 360)

= 780 - 720

= 60

= π/3

Thus,

The angles are 2π and π/3.

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The angle measure of m∠O is 13°.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given:

In ΔMNO,

[tex]\overline {OM}[/tex] ≅ [tex]\overline {ON}[/tex]

Then the angle opposite to the sides are also congruent.

m∠N = m∠O

And we have, m∠N = 13°.

So, m∠O = 13°.

Therefore, the angle measure is 13°.

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The diameter is the length across the entire circle. This divides the circle into two equal parts and makes two equal-sized semicircles. The radius is the length from the center of the circle to the circumference. The diameter is always twice the size of the radius.

The equation to solve for the area of a circle is [tex]A =[/tex] π [tex](d/2)^{2}[/tex]

Substituting 5 and 3.14 into the equation gives us:

Solving for 5/2 gives us:

Therefore, [tex]A = 19.6m^{2}[/tex]

Answer:

The area of a circle with a diameter of 5 m is 19.63 m², rounded to the nearest tenth, it would be 19.6 m². So the answer is c. 19.6 m².

What is circle ?

A circle is a two-dimensional geometric shape defined as the set of all points that are a fixed distance, called the radius, from a central point, called the center. A circle is the set of all points in a plane that are at a given distance from a given point, the center.

The area of a circle is given by the formula A = , where r is the radius of the circle. To find the area of a circle with a diameter of 5 m, we first need to find the radius. We can do this by dividing the diameter by 2:

r = 5 m / 2 = 2.5 m

Then we can substitute this value of r into the formula for the area of a circle:

A =  = π(2.5 m)^2 = 3.14 * 6.25 m^2 = 19.63 m²

So the area of a circle with a diameter of 5 m is 19.63 m², rounded to the nearest tenth, it would be 19.6 m². So the answer is c. 19.6 m².

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Step-by-step explanation:

The sample space S of problem 3a is given by the set of all possible outcomes when drawing two balls from a bag containing two red and two green balls.

a. obtaining the same number on both draws:

The event of obtaining the same number on both draws is given by the set {(2,2), (1,1)}. This set is a subset of the sample space S.

b. obtaining a sum of numbers equal to seven:

The event of obtaining a sum of numbers equal to seven is given by the set {(2,5), (5,2)}. This set is a subset of the sample space S.

c. obtaining at least one three:

The event of obtaining at least one three is given by the set {(2,3), (3,2), (3,3)}. This set is a subset of the sample space S.

d. obtaining exactly one red ball:

The event of obtaining exactly one red ball is given by the set {(2,1), (1,2)}. This set is a subset of the sample space S.

e. obtaining the same colour on both draws:

The event of obtaining the same colour on both draws is given by the set {(1,1), (2,2)}. This set is a subset of the sample space S.

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The answer choice which represents a table which represents a linear and proportional relationship is; Choice C ; whose y-intercept is 0.

With respect to relationships, two variables are said to be proportional if the y-intercept of the relation between them is 0.

here, we have,

The answer represents a linear relationship that is also proportional

Hence, y = kx represents a proportional relationship where k is the constant of proportionality.

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Answer:

1. subtract 12 to the right side and remove the 12 from the left.

You will have -4x=-16

2. divide -4x and  -16 by -14

ANSWER= 4

Step-by-step explanation:

Answer:

To subtract the two mixed numbers, we need to convert both mixed numbers to improper fractions.

So,

8/9 = 72/81 (by multiplying both numerator and denominator by 9)

and

4/6 = 40/60 = 2/3 (by multiplying both numerator and denominator by 10/10)

So,

72/81 - 2/3 = (72 * 3 - 2 * 81) / (81 * 3) = (216 - 162) / 243 = 54/243.

So,

8/9 - 4/6 = 54/243.

Answer:

Step-by-step explanation:

ok so basically you want to turn 8/9 and 4/6 into decimals. When your done turning them into decimals subtract them.

you can also simplify the fractions and then subtract them!

Sorry tried my best hope this helps! :)

Answer:7828

Step-by-step explanation:

The velocity of the cheetah between 5 and 15 seconds is 5 meters per seconds.

From the given distance time graph, between 5 to 15 seconds cheetah ran 50 meter.

Velocity is the measure of the amount of distance an object covers in a given amount of time. Here's a word equation that expresses the relationship between distance, velocity and time: Velocity equals distance travelled divided by the time it takes to get there.

So, velocity = 50/10

= 5 meters per seconds

Therefore, the velocity of the cheetah between 5 and 15 seconds is 5 meters per seconds.

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-x² - x( 3 + 2√x) + 12  is the simplified form of the expression

x-2√x ³ - x² - 4x+12.

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

Given an expression that needs to be rewritten in simplified form

Equation is:

=> x-2√x ³ - x² - 4x+12

Solving the square root

=> x - 2 * x√x - x²- 4x + 12

=> -x² +  x(-3 -2√x) + 12

=> -x² - x( 3 + 2√x) + 12

therefore,  -x² - x( 3 + 2√x) + 12  is the simplified form of the expression

x-2√x ³ - x² - 4x+12.

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Answer:

Target is selling the iPad Pro for $1,175.93.

Step-by-step explanation:

Multiply $1099 by the perecntage. (Shift decimal 2 places to the left)

1099 × .07 = 76.93

Add 76.93 to 1,099.

1,175.93

The required correct answers are;

1 - (1 1/3 x, 1 1/3 y)

4 - (3 1/10 x, 3 1/10 y)

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size.

The following algebraic rules represent a dilation that is an enlargement:

1 - (1 1/3 x, 1 1/3 y)

4 - (3 1/10 x, 3 1/10 y)

The scale factor in both of these rules is greater than 1, which means that the dilation is an enlargement. In rule 1, the scale factor is 1 1/3, and in rule 4, the scale factor is 3 1/10.

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Complete question:

Which of the following algebraic rules that represent a dilation that is an enlargement?

Select 2 correct answers

1 - (1 1/3 x, 1 1/3y)

2 - (1/2 x, 1/2y)

3 - ( 0.1 x, 0.1 y)

4 - (3 1/10 x, 3 1/10y)

Answer:

y = 3x+9

Step-by-step explanation:

We start by finding the slope

find find this by (y_end - y_beginning)/(x_end - x_beginning)

(39-24)/(10-5)=15/5=3

now to find the intercept we y_beginning - (slope*x_beginning)

24-(5*3) = 24-15 = 9

so the equation is

y = 3x+9

A scatter plot in Excel is the type of chart that can plot a point at its Cartesian coordinates using an x-coordinate and a y-coordinate.

The type of chart in Excel that plots a point at its Cartesian coordinates using an x-coordinate and a y-coordinate is a Scatter Plot. A scatter plot is a type of graph in which individual data points are represented by dots on a graph. Each data point has two coordinates: the x-coordinate and the y-coordinate, which are used to plot the point on the graph.

In Excel, to create a scatter plot, you need to first select your data, then go to the Insert tab and click on the Scatter chart button. You can then choose the type of scatter plot you want to create. Once the chart is created, you can add data labels to show the x-coordinate and y-coordinate of each data point.

In summary, a scatter plot in Excel is the type of chart that can plot a point at its Cartesian coordinates using an x-coordinate and a y-coordinate.

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Answer: I need a picture of reference? I can't give a logical answer.

Step-by-step explanation:

Answer:

To find the missing side length of two similar rectangles, you can use the proportion of corresponding sides. This means that the ratio of the two longer sides should equal the ratio of the two shorter sides. Therefore, you can solve for the missing side length by setting up a proportion between the known side lengths.

Step-by-step explanation:

Bar graph. This type of graph is ideal for comparing the number of sneakers sold by brand, as it clearly displays the numerical differences between them. It is also easy to interpret and visually appealing.

A bar graph is the best choice for displaying the number of sneakers sold by brand for the month. Bar graphs are used to compare data and show the differences between them. Each brand would be represented by its own bar, and the length of each bar would be determined by the number of sneakers sold. The bars can be labeled with the brand's name, and a numerical scale would be used at the bottom of the graph to indicate the number of sneakers sold. The data can be organized by either the number of sneakers sold (descending) or by the brand name (alphabetically). The bar graph would be easy to interpret and visually appealing. It is also a great way to compare the performance of different brands in a given period.

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The estimation helps us to get simpler digits to perform operations.

An approximate value close enough to the correct value is called estimation.

Given that, how can an estimate help when multiplying 5.3 x 3.9

So, here we see that, multiplication of two decimal number are getting performed,

To multiply decimal numbers, sometimes gets lengthy, so we use estimation,

Here, the two numbers are, 5.3 and 3.9,

Rounding the numbers for estimation,

The rule of rounding says, that, when the digit after decimal is less than five then we round down and if it is greater than five then we round up,

Therefore,

5.3 = 5

3.9 = 4

Now, as we get two simpler numbers, we can easily multiply them

5 x 4 = 20

That mean, the estimated value of 5.3 x 3.9 is 20

Hence, the estimation helps us to get simpler digits to perform operations.

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A point is placed 2 units left and 3 units down from the origin is (-2, -3) and a point is placed 3 units left and 2 units up from the origin is (-3, 2)

Statement 1:

Given that

A point is placed 2 units left and 3 units down from the origin.

This is represented as

(0 - 2, 0 - 3)

Evaluate

(-2, -3)

Statement 2:

A point is placed 3 units left and 2 units up from the origin.

This is represented as

(0 - 3, 0 + 2)

Evaluate

(-3, 2)

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The walking speed x = (L/t) - (3/65) L + (2/50) L .We can solve this problem using the concept of average speed and the time and distance relationship.

Let's assume the length of the moving sidewalk be L and the speed of the moving sidewalk be v.

When the moving sidewalk is working, the person's speed is v + w, where w is the walking speed.

And, the time taken to travel the distance L is 65s.

So, using the average speed formula, we have:

(v + w) = L/65

And, when the moving sidewalk is not working, the person's speed is w.

And, the time taken to travel the distance L is 50s.

So, using the average speed formula, we have:

w = L/50

Now, we can equate the above two equations to find the walking speed w.

v + w = L/65

w = L/50

Subtracting the second equation from the first equation, we get:

v = (L/65) - (L/50)

Since, L is common in both the numerators, we can simplify the above expression as:

v = (3/65 - 2/50) L

Thus, the speed of the moving sidewalk is (3/65 - 2/50) L.

Let's assume the walking speed be x.

So, the average speed of the person is (v + x) = (3/65 - 2/50) L + x.

And, the time taken to travel the distance L is t.

Using the average speed formula, we have:

(v + x) = L/t

Substituting the value of v, we get:

((3/65 - 2/50) L + x) = L/t

Simplifying the above equation, we get:

x = (L/t) - (3/65 - 2/50) L

Now, substituting the values of L/50 and L/65, we get:

x = (L/t) - (3/65 - 2/50) L

x = (L/t) - (3/65) L + (2/50) L

So, the walking speed x = (L/t) - (3/65) L + (2/50) L.

Therefore, the walking speed can be calculated using the above expression.

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The complete question is :

When the moving sidewalk at the airport is broken, as it often seems to be, it takes you 50 s to walk from your gate to baggage claim. When it is working and you stand on the moving sidewalk the entire way, without walking, it takes 65 s to travel the same distance.

How long will it take you to travel from the gate to baggage claim if you walk while riding on the moving sidewalk?

Express your answer using two significant figures.

A line graph is the most basic method of illustrating data.

A line graph is a special type of graph that is frequently employed in statistics. In relation to another quantity, it shows how one quantity has changed. For instance, we may use this graph to illustrate how the cost of various chocolate flavors fluctuates. Typically, a two-dimensional XY plane is used to plot this variation. A graph is said to be linear if it can represent the relationship between any two measurements by a straight line. Consequently, a line graph is often known as a linear graph.

The three different types of line graphs are simple line graphs, numerous line graphs, and compound line graphs.

Option B is the proper response, thus.

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The standard form polynomial representing the volume of this shipping container is expressed as V = 24x⁵+78x⁴-147x³-624x²-360x

Volume of the shipping container = Lengt * Breadth * Height

Given

Length = 4x² + 3x

Breadth = x² – 8

Height = 6x +15

Volume of the container = ( 4x² + 3x)( x² - 8)(6x+15)

( 4x² + 3x)( x² - 8)  = 4x⁴-32x²+3x³-24x

( 4x² + 3x)( x² - 8) = 4x⁴+3x³-32x²-24x

(4x⁴+3x³-32x²-24x)(6x+15) = 24x⁵+60x⁴+18x⁴+45x³-192x³-480x²-144x²-360x

Collect like terms

( 4x² + 3x)( x² - 8)(6x+15) = 24x⁵+78x⁴-147x³-624x²-360x

Hence the standard form polynomial representing the volume of this shipping container is expressed as V = 24x⁵+78x⁴-147x³-624x²-360x

A rectangle's length is 5 inches greater than its width. if the perimeter of the rectangle is 42 inches, then the length is 13 inch.

A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

here, we have,

a rectangle's length is 5 inches greater than its width.

if the perimeter of the rectangle is 42 inches

let, width = x

then, length = x+5

so, perimeter= 2(x+5 +x)

                      = 4x+10

ATQ, 4x+10 = 42

solving we get,

x=8

the length = 13

Hence, A rectangle's length is 5 inches greater than its width. if the perimeter of the rectangle is 42 inches, then the length is 13 inch.

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250g tin of coffee: 29.99/250 = R0.12 per gram

750g tin of coffee: 69.99/750 = R0.09 per gram

750g tin of coffee is better value for money.