There are 15 Keurig pods in the green basket. It has two Donut Shop, six Swiss Miss hot chocolate, and seven Breakfast Blend flavors. Maddy, Charlie, and Ann like the Donut Shop Keurig pod the best. What is the probability that Ann will get the Donut Shop pod?

The x-coordinates of all the points on the graph of f(2x) are half the x-coordinates of the corresponding points on the graph of f(x), which results in a horizontal compression or shrinking of the graph.

What is a graph?

In computer science and mathematics, a graph is a collection of vertices (also known as nodes or points) connected by edges (also known as links or lines).

The transformation f(2x) stretches the graph of f(x) horizontally by a factor of 1/2. In other words, the graph of f(2x) will be compressed horizontally compared to the graph of f(x).

To see why this is the case, consider the effect of replacing x with 2x in the expression for f(x). If we think of f(x) as a set of points in the xy-plane, then each point (x,y) on the graph of f(x) is transformed into the point (2x,y) on the graph of f(2x).

Therefore, this means that the x-coordinates of all the points on the graph of f(2x) are half the x-coordinates of the corresponding points on the graph of f(x), which results in a horizontal compression or shrinking of the graph.

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The probability that the bus will arrive early is 0.1, or 10%.

It is possible to calculate the likelihood that the bus will arrive early using the rule that the sum of all possible outcomes must equal 1.

P(on time) + P(late) + P(early) = 1 if P(E) is the likelihood that the bus will arrive early.

Using the probabilities as a replacement, we get:

0.6 + 0.3 + P(E) = 1.

For P(E), use the formula:

P(E) = 1 - 0.6 - 0.3 = 0.1.

Therefore, the probability that the bus will arrive early is 0.1.

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Step-by-step explanation:

x^2 -6x - 72   =  ( x-12)(x+6)

If you can't do this 'in your head'  you can always use Quadratic Formula

  with  a = 1      b= - 6    and   c= -72

      to find roots   x = 12 and  -6      then write the equation as above

The given function h(x) is h(-5) = -2, h(-2) = -1 and h(5) = -2.

The set of all possible inputs is the domain of a function. For instance, all real integers other than x=0 are in the domain of f(x)=x2 and g(x)=1/x, respectively. Additionally, custom functions with more restricted domains can be defined.

The definition of the function h(x) is as follows:

h(x) =

-2 if x < 2

-1 if x = -2

Using this definition, we can find the values of h(-5), h(-2), and h(5) as follows:

h(-5): Since -5 < 2, we use the first part of the definition and set h(-5) = -2.

h(-2): Since -2 = -2, we use the second part of the definition and set h(-2) = -1.

h(5): Since 5 > 2, we use the first part of the definition and set h(5) = -2.

Therefore, we have:

h(-5) = -2

h(-2) = -1

h(5) = -2

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Answer:

441cm^2

Step-by-step explanation:

84 divided by 4 is 21

21cm*21cm is 441cm^2

A) The area of the walls is 700 ft²

B) The area of the doors, windows, and rectangular opening is 226ft²

C) The area that Kamrie will paint is 474 ft², and she will need to purchase 2 cans of paint.

Part A:

The area of each of the short walls is

10 ft x 15 ft

= 150 sq ft.

So, the total area of the four walls is:

2(200 sq ft) + 2(150 sq ft)

= 700 sq ft

Part B:

The area of the three windows along the long wall is

3 ft x 8 ft

= 24 sq ft each, so their total area is

3(24 sq ft)

= 72 sq ft

The area of the two windows along the short wall is also

3 ft x 8 ft = 24 sq ft each,

so their total area is

2(24 sq ft)

= 48 sq ft

The area of the rectangular opening along the other long wall =

7 ft x 8 ft = 56 sq ft.

So, the total area of the doors, windows, and rectangular opening is

72 sq ft + 48 sq ft + 56 sq ft

= 176 sq ft

Part C:

To determine the area that Kamrie will paint, we need to subtract the area of the doors, windows, and rectangular opening from the total area of the walls

700 sq ft - 176 sq ft

= 524 sq ft

To determine how many cans of paint Kamrie needs to buy, we divide the area to be painted by the coverage per can

524 sq ft ÷ 415 sq ft/can

≈ 1.26 cans

So Kamrie needs to buy at least 2 cans of paint to cover the entire living room.

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The complete table is

Time (mins)              0     1      2     3     4      5     6     7     8     9     10  

Amount of air (ft³)   40   36   32   28   24    20   16   12    8      4     0

The rate of change refers to the speed at which a quantity is changing with respect to time or some other variable.

It is a measure of how quickly or slowly a quantity is increasing or decreasing, and it is often represented as the slope of a graph or function. To fill the table we need to know the rate of change per minute in the air. Using the rate of change we can fill the table as follows  

Here we have

A scuba tank started with 40 cubic feet of air and was empty after a 10-minute dive.

To complete the table, calculate the rate of change of the amount of air in the scuba tank.

We know that the scuba tank started with 40 cubic feet of air and was empty after a 10-minute dive, so we can use this information to find the rate of change:

Rate of change = (final amount - initial amount) / time

Rate of change = (0 - 40) / 10 = -4 ft³/min

The negative sign indicates that the amount of air in the scuba tank is decreasing over time, which makes sense since the diver is using up the air during the dive.

Using this rate of change, we can complete the table as follows:

For 1 min  = 40 ft³ - 4 ft³ = 36 ft³

For 2 min = 36 ft³ - 4 ft³ = 32 ft³

For 3 min = 32 ft³ - 4 ft³ = 28  ft³

Similarly, we can fill the table as given below

Therefore

The complete table is

Time (mins)              0     1      2     3     4      5     6     7     8     9     10  

Amount of air (ft³)   40   36   32   28   24    20   16   12    8      4     0

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Answer:

0.506

0.516

0.609

0.615

Step-by-step explanation:

Answer:

Since there are only yellow and green balls in the tub, there is no possibility of picking a red ball. Therefore, the probability of picking a red ball is zero.

(i) The probability of picking a yellow ball can be calculated by dividing the number of yellow balls by the total number of balls. In this case, there are two yellow balls and three green balls, so the total number of balls is 2 + 3 = 5. The probability of picking a yellow ball is 2/5 or 0.4, which is 40%.

(ii) Similarly, the probability of picking a green ball can be calculated by dividing the number of green balls by the total number of balls. In this case, there are three green balls and five total balls. Therefore, the probability of picking a green ball is 3/5 or 0.6, which is 60%.

(iii) As mentioned earlier, there are no red balls in the tub. Hence, the probability of picking a red ball is 0.

Answer: 20a +5,600 < 21,000

move the content to the right

20a < 21,000 -5600

calculate

20a<15400

20a <15400
divide both sides of the inequality by 20

a<770

Answer: 300

Step-by-step explanation:

10*8*6=480-6*6*5=180=300

Area of the patio is -6x² + x + 2 square yards and perimeter of the patio is 6 - 2x yards.

A yard is a unit of measurement used to measure length or distance in both the US customary system and the British imperial system. One yard is equal to 3 feet or 36 inches. In the US customary system, a yard is equal to 0.9144 meters, while in the British imperial system, it is equal to 0.9144 meters or 3 feet. Yards are commonly used for measuring larger distances, such as in construction or landscaping, as well as in some sports like American football and cricket.

The area of the rectangular patio is given by multiplying its length by its width, so the area is:

A = (1 + 2x)(2 - 3x)

Now using distributive property we get,

A = 2 - 3x + 4x - 6x²

Simplifying further, we get:

A = -6x² + x + 2

Therefore, the area of the patio is described by the quadratic equation -6x² + x + 2.

To find the perimeter of the patio, we add up the lengths of all four sides. The length and width are given as (1 + 2x) and (2 - 3x), respectively, so the perimeter is:

P = 2(1 + 2x) + 2(2 - 3x)

Simplifying this expression, we get:

P = 2 + 4x + 4 - 6x

P = 6 - 2x

Therefore, the perimeter of the patio is described by the linear equation 6 - 2x.

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The description describes the solutions to this inequality in all the positive numbers that are greater than ten. The correct option is B.

Relationships between two expressions that aren't equal to one another are known as inequalities. Social justice theories are fundamentally based on the idea of inequality, which is the condition of not being equal, especially in terms of status, rights, and opportunities.

The given equation is 9 > 52.

everything that is positive and bigger than 10

Therefore, the correct option is B. All the positive numbers are greater than ten.

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Answer:

Let's call the unknown number "x". According to the problem, we know that:

x * (x - 6) = 27

Expanding the left side of the equation, we get:

x^2 - 6x = 27

Subtracting 27 from both sides, we get:

x^2 - 6x - 27 = 0

Now we can use the quadratic formula to solve for x:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

In this case, a = 1, b = -6, and c = -27, so:

x = (-(-6) ± sqrt((-6)^2 - 4(1)(-27))) / 2(1)

x = (6 ± sqrt(180)) / 2

x = (6 ± 6sqrt(5)) / 2

x = 3 ± 3sqrt(5)

So the two possible solutions are:

x = 3 + 3sqrt(5) ≈ 8.746

x = 3 - 3sqrt(5) ≈ -2.746

Since the problem statement doesn't specify whether the number should be positive or not, both solutions are valid.

Answer: The answer could be 9 or -3.

Step-by-step explanation: The product(multiply) of a number(x) and 6 less than a number(x-6) is 27.

x(x-6)=27

x^2-6x-27=0

(x-9) (x+3)=0

x=9 or x=-3

The number is 9 or -3.

Answer:

  D.  9 clubs

Step-by-step explanation:

Given a stem-and-leaf plot of the number of members in clubs, you want to know the number of clubs with 30 or more members.

The plot shows the club membership to be ...

  {10, 13, 15, 24, 26, 30, 36, 39, 50, 55, 59, 61, 66, 78}

The 9 clubs whose member numbers are in bold have at least 30 members.

The number of clubs with at least 30 members is ...

  D.  9 clubs

<95141404393>

A. not continuous

Continuous functions have no jumps or vertical asymptotes.

Continuity

For a function to be continuous, each point on the function must be defined. This means that there cannot be points on the graph where there is no value or coordinate point. Additionally, all points must be connected by the graph. Sudden jumps in the graph that are not connected by anything are not continuous.

Determining Continuity

The graph above is not continuous. We know this for 2 reasons. Firstly, the graph is not defined at x = -3. Since there is an open circle at x = -3, the value is not defined. Thus, the function cannot be considered continuous. Additionally, there are multiple jumps. At x = -3, the function suddenly jumps to x = -2 without the points being connected. The same thing happens again at x = 1. This also shows that the graph is not continuous.

Therefore, Postman Builders Inc’s new required rate of return is 23.7%1.

Rate might signify two different things. As a noun, it denotes an amount, frequency, or measure that is typically compared to another quantity or measure. Or, it can be used as a verb to indicate "assign a standard or value to" using a specific scale.

Postman Builders Inc. has a necessary return of 10.2% and a beta of 1.5, according to the information given.

We may get the new necessary rate of return as follows if Postman purchases risky assets that increase its beta by 65% and the predicted inflation rate and inflation premium increase by 2 percentage points.

New Required Rate of Return

= Risk-free rate + Beta * (Expected Market Return - Risk-free rate)

= 2% + (1.5 * (6% + 2% + (65% * 6%))) = 23.7%

New Required Rate of Return equals 8% plus 2.47 x (-2%) to 3.85%.

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Answer:

4 cannot be written as a logarithm with a base of 4. A logarithm is an exponent that tells us how many times we need to multiply a base by itself to get a certain number. For example, log2(8) = 3 because 2^3 = 8. We can write this as an equation: logb(x) = y means b^y = x.

-4 cannot be written as a logarithm with a base of 4 because there is no exponent that can make 4 equal to -4. In other words, there is no y such that 4^y = -4. This is because any positive number raised to any power will always be positive. Therefore, log4(-4) is undefined or does not exist.

Therefore, -4 cannot be written as a logarithm with a base of 4.

Step-by-step explanation:

Answer:

(C) {-3, 2} is the correct answer.

The number of different passwords, considering 2 digits and 2 letters, is given as follows:

A. 6,760,000.

B. 3,276,000.

The Fundamental Counting Theorem states that if there are m ways to do one thing and n ways to do another, then there are m x n ways to do both.

This can be extended to more than two events, where the number of ways to do all the events is the product of the number of ways to do each individual event, according to the equation presented as follows:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

The password is composed by:

With repetition, we have that:

Hence the number of passwords is given as follows:

10^4 x 26² = 6,760,000.

Without repetition, we have that:

Hence the number of passwords is given as follows:

10 x 9 x 8 x 7 x 26 x 25 = 3,276,000.

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Since 260 is close to 264, our answer of 264 is reasonable.

What is algebra?

Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas. It involves the study of variables, expressions, equations, and functions.

The sum of 401-137 can be found by subtracting 137 from 401:

401 - 137 = 264

Therefore, the sum of 401-137 is 264.

To estimate whether this answer is reasonable, we can use rounding. We can round 401 to 400 and 137 to 140, which makes the subtraction easier to estimate mentally:

400 - 140 ≈ 260

Since 260 is close to 264, our answer of 264 is reasonable.

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Answer:

Using the FOIL method to multiply (x + 80)(x - 20), we get:

(x + 80)(x - 20) = x^2 - 20x + 80x - 1600

Simplifying the expression, we get:

(x + 80)(x - 20) = x^2 + 60x - 1600

Therefore, the answer is x^2 + 60x - 1600.

Answer:

x = 45 degrees

Step-by-step explanation:

All angles in a triangle will add up to 180 degrees.  So far we have 57 degree of 180.  We also see a supplementary angle, with one side being 102 degrees, so the other is 78 degrees, because it must add up to 180.  We see that the arrows in the bases show that the corners are even, so now we know two corners: one with 57 degrees and the other with 78.  

Now, follow this equation to find x:

57 + 78 + x = 180

135 + x = 180

-135        -135

x = 45

Here, we want to get the final volume

From the general gas equation, we have it that:

[tex]\dfrac{P_1V_1}{T_1} =\dfrac{P_2V_2}{T_2}[/tex]

From the question, we have it that:

P1 is the initial pressure which is 475 torr

V1 is the initial volume which is 296 mL

T1 is the initial temperature which we have to convert to absolute value by adding 273.15 K ([tex]68 + 273.15 = 341.15 \ \text{K}[/tex])

P2 is the final pressure that is the same as the initial which is 475 torr

V2 is the final volume that we want to calculate

T2 is the final temperature which is 273.15 K (0 degrees Celsius is 273.15 K)

Substituting the values, we have:

            [tex]\dfrac{475\times296}{341.15}=\dfrac{475\times V_2}{273.15}[/tex]

[tex]V_2=\cfrac{475\times296\times273.15}{341.15\times475} =\boxed{\bold{237 \ mL}}[/tex]

We could have solved this by using Charles' law that relates temperature to volume (volume is directly proportional to temperature)

Answer:

4.) 32 answer

Step-by-step explanation:

2×2 is 4

4× 8 is 32

The probability of selecting an elm or oak tree is 0.38.

The probability of selecting an elm or oak tree is the sum of the probabilities of selecting an elm and selecting an oak:

P(elm or oak) = P(elm) + P(oak)

P(elm) = 0.04

P(Oak) =0.34

Plug in these values

= 0.04 + 0.34

= 0.38

Therefore, the probability of selecting an elm or oak tree is 0.38.

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Therefore , the solution of the given problem of volume comes out to be the other leg of the right triangular pyramid's base is 3 yards long.

A three-dimensional object's volume, which is expressed in cubic units, indicates how much space it takes up. The indications for cubic measurements are litre and in3. However, you have to be cognizant of an object's volume in order to calculate its dimensions. Converting an object's weight into metric units like iii . and kilogrammes is a standard technique.

Here,

Let's use "x" yards to represent the other leg of the right triangle pyramid's base.

A pyramid's volume can be calculated using the following equation: => Volume = (1/3) * Base Area * Height

In this instance, we are informed that the pyramid has a volume of 168 cubic yards and a height of 14 yards.

=> 168 = (1/3) * 14 * base area

The base area can be estimated as (8 * x)/2 = 4x because we know that one leg of the base is 8 yards long and the other leg is designated as "x" yards.

=> 168 = (1/3) * 4x * 14

=> 168 = (4/3)x * 14

=>  168 = (4/3) * 14x

=> 168 = 56x

=> x = 168/56

=> x = 3

Therefore, the other leg of the right triangular pyramid's base is 3 yards long.

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ANSWER:

368

EXPLANATION:

youre given:

l=14

w=5

h=5

just plug those into the given formula,

2×(14×5)+2×(14×6)+2×(5×6)

(you should do it yourself to check my math...)

Answer:

To determine the number of students who voted for Candidate C, we need to first find what percent of the total votes they received. Looking at the graph, it appears that Candidate C received approximately 40% of the votes.

To find out how many students this represents, we can set up a proportion:

40% = C/150

Where C is the number of votes received by Candidate C.

To solve for C, we can cross-multiply:

0.4 x 150 = C

C = 60

Therefore, 60 students voted for Candidate C.

Charlotte's mistake was assuming that the percentage of votes for Candidate C directly corresponded to the number of students who voted for them. It's possible that more than one student voted for each candidate, and the percentage of votes represents the proportion of all votes each candidate received.