I need help finding m and b​

Answer: D

Step by step explanation: the bank with 7% interest can get 7% incrementing (+5600$), because capitalism.

Answer: OB

Step-by-step explanation:

It is decreased by $80,000.

did the test

Answer:

y = 12x

Step-by-step explanation:

From the question, we are told that a person consumes 12 gallons of water each day

Now, we want to complete an equation

From the question, x is the number of days and y is the amount of water consumed

Thus, mathematically, we have the equation as;

y = 12x

since in the first day, 12 gallons is consumed, the second will be 12 * 2 and so on

So the amount of water depends on rate number of days

Answer:

12

Step-by-step explanation:

I got it correct.

Answer:

I belive the awnser is 16

Step-by-step explanation:

The number of ways 9 yellow marbles can be divided among 4 distinguishable cups is 126.

Dividing 9 marbles among 4 cups is a combination problem. The number of combinations is given by the formula C(n + r - 1, r - 1), where n is the number of items (marbles) and r is the number of groups (cups). In this case, n = 9 and r = 4. Plugging these values into the formula, we get:

C(9 + 4 - 1, 4 - 1) = C(12, 3) = (12 * 11 * 10) / (3 * 2 * 1) = 220

This means that there are 220 ways to divide 9 yellow marbles into 4 distinguishable cups. However, since the cups are distinguishable, each combination is counted multiple times, once for each permutation of the cups. The number of permutations of n items taken r at a time is given by the formula n! / (n - r)!. In this case, the number of permutations is 4! = 4 * 3 * 2 * 1 = 24.

So, the total number of ways to divide 9 yellow marbles into 4 distinguishable cups is 220 / 24 = 9. This means that there are 126 distinct ways to divide 9 yellow marbles among 4 distinguishable cups.

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The experimental design which is used in the study is Completely randomized design.

Completely Randomized design may be defined as a technique in which all the solutions are assigned at random so that each questions receive all the possible solutions. According to the question we know that the sample size is 100 volunteers who are suffering from chronic pain. Now, out of the 100 volunteers, 50 males and 50 females are chosen. Further out of the 50 males, 25 males are randomly assigned to the treatment group while the other 25 males are assigned to a control group. Since, the treatments are randomly assigned completely, each of the volunteers have an equal chance of receiving the treatments.

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Ron's average speed in bike race was 12miles/hour.

What is speed?

Speed is distance traversed per unit of time. It determines that how fast an object is moving. It is the scalar quantity so it has the magnitude of the velocity vector. It has no  direction. An object moving with higher speed means an object is moving faster. An object with lower speed means it is moving slower. If the object isn't moving at all, it has zero speed that is in rest.

The average speed of an object that travels a distance d in time t is d/t.

Ron finished a 15-mile bike race in 1.25 hours.

Here d= 15 miles and t= 1.25 hours.                                       15/1.25

so, average speed = 15/1.25                                                   = (15×100)/125

Dividing 15 by 1.25 we get,                                                     =12

                               = 12 miles/ hour.

Hence Ron's average speed in bike race was 12miles/hour.

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Answer:

54 and 42

Step-by-step explanation:

add 9 and 7

use your answer as a denominator

to find the value for 9 you do 9/16 *96

which will give you 54

then do the same for 7 but replace the 9 with seven

Answer:

A. 48 Km.

B. 62.5 miles.

Step-by-step explanation:

From the diagram given above, the following data were obtained:

50 miles = 80 Km

A. Converting 30 miles to kilometres.

50 miles = 80 Km

Therefore,

30 miles = 30 miles × 80 Km / 50 miles

30 miles = 48 Km

Thus, 30 miles is equivalent to 48 Km.

B. Converting 100 km to miles.

80 Km = 50 miles

Therefore,

100 Km = 100 Km × 50 miles / 80 Km

100 Km = 62.5 miles

Thus, 100 Km is equivalent to 62.5 miles.

Answer:

2

Step-by-step explanation:

(4-5)-(13-18+2)

=-1-(13-18+2)

=-1-(-5+2)

=-1(-3)

=2

The part of the statement following "if" is called the antecedent, and the part of the statement following "then" is called the consequent in conditional statements.

The if statement evaluates the test expression inside the parenthesis ().

If the test expression is evaluated to true, statements inside the body of if are executed.

If the test expression is evaluated to false, statements inside the body of if are not executed.

The part of the statement following "if" is called the antecedent, and the part of the statement following "then" is called the consequent in conditional statements.

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In conditional statements, the part of the statement following 'if' is called the antecedent.

The antecedent is the condition that needs to be true for the consequent to occur.

The consequent is the part of the statement that follows 'then.'

An antecedent is a noun or pronoun that denotes a specific being, place, object, or clause.

It's also referred to as a referent. Without an antecedent, a sentence may be insufficient or nonsensical since it is

required to establish what or to whom a pronoun in a sentence is referring.

In summary, a conditional statement is structured as "if (antecedent) then (consequent)."

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a.) The Poisson probability mass function: P(X = 0) = e^(-λ) * λ^0 / 0! = e^(-29/111) ≈ 0.193

b.) P(X ≥ 1) = 1 - P(X = 0) ≈ 0.807

c.) P(X ≥ 3) ≈ 1 - 0.193 - 0.343 - 0.333 ≈ 0.131

d.) The Poisson probability mass function, we can calculate: P(X ≥ 2) ≈ 1 - 0.193 - 0.343 ≈ 0.464

(a) The number of hits per year follows a Poisson distribution with a mean of λ = 29/111 (the average number of hits per year). The probability that Florida will not be hit by any major hurricanes in a single year is given by the Poisson probability mass function:

P(X = 0) = e^(-λ) * λ^0 / 0! = e^(-29/111) ≈ 0.193

(b) The probability that Florida will be hit by at least one major hurricane in a single year is given by the complement of the probability that it will not be hit, i.e.,

P(X ≥ 1) = 1 - P(X = 0) ≈ 0.807

This is not unusual, as it is highly likely that Florida will be hit by at least one major hurricane in any given year.

(c) The probability that Florida will be hit by at least three major hurricanes in a single year is given by the cumulative distribution function of the Poisson distribution:

P(X ≥ 3) = 1 - P(X < 3) = 1 - P(X = 0) - P(X = 1) - P(X = 2)

Using the Poisson probability mass function, we can calculate:

P(X = 1) = e^(-λ) * λ^1 / 1! = e^(-29/111) * 29/111 ≈ 0.343

P(X = 2) = e^(-λ) * λ^2 / 2! = e^(-29/111) * (29/111)^2 / 2 ≈ 0.333

Therefore, P(X ≥ 3) ≈ 1 - 0.193 - 0.343 - 0.333 ≈ 0.131

This indicates that the probability of Florida being hit by at least three major hurricanes in a single year is relatively low, but it has happened before and is not necessarily unusual.

(d) The probability that Florida will be hit by at least two major hurricanes in a single year is given by:

P(X ≥ 2) = 1 - P(X = 0) - P(X = 1)

Using the Poisson probability mass function, we can calculate:

P(X = 1) ≈ 0.343

Therefore, P(X ≥ 2) ≈ 1 - 0.193 - 0.343 ≈ 0.464

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An equation in slope-intercept form of the data in the table is y = -3x - 7.

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

Based on the information provided, we can logically deduce the following data points on the line:

At point (-4, 5), a linear equation of this line can be calculated in slope-intercept form as follows:

y - 5 = (-1 - 5)/(-2 + 4)(x + 4)

y - 5 = -3(x + 4)

y = -3x + 5 - 12

y = -3x - 7

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The statement "approximately 3.24 billion gallons of water flow over Niagara Falls daily" describes a continuous relationship.

In a continuous relationship, the variable (in this case, the amount of water flowing) can take on any value within a certain range. In contrast, a discrete relationship involves distinct, separate values.

In this case, the amount of water flowing can vary continuously and is not limited to specific, separate values. Therefore, the relationship between the amount of water flowing over Niagara Falls daily and the given value is continuous.

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(a) Definition of uniform convergence of a sequence of functions on (0, +∞):

A sequence of functions {f_n(x)} is said to converge uniformly on the interval (0, +∞) if for every ε > 0, there exists a positive integer N such that for all n ≥ N and for all x ∈ (0, +∞), |f_n(x) - f(x)| < ε, where f(x) is the limit function.

Negation of the definition of uniform convergence of a sequence of functions on (0, +∞):

A sequence of functions {f_n(x)} does not converge uniformly on the interval (0, +∞) if there exists an ε > 0 such that for every positive integer N, there exists an n ≥ N and an x ∈ (0, +∞) such that |f_n(x) - f(x)| ≥ ε, where f(x) is the limit function.

(b) Consider the sequence of functions {f_n(x)} defined as f_n(x) = n + n^2x^2 on the interval [0, +∞).

Pointwise convergence:

For each fixed x ∈ [0, +∞), as n approaches infinity, the term n^2x^2 dominates the sequence and tends to infinity. Therefore, {f_n(x)} does not converge pointwise to any function on [0, +∞).

Uniform convergence:

To analyze uniform convergence, we need to check if the sequence of functions satisfies the definition of uniform convergence. For any ε > 0, we need to find a positive integer N such that for all n ≥ N and for all x ∈ [0, +∞), |f_n(x) - f(x)| < ε.

Let's consider the difference |f_n(x) - f(x)|:

|f_n(x) - f(x)| = |n + n^2x^2 - f(x)| = |n + n^2x^2 - 0| = n + n^2x^2

For any fixed x ∈ [0, +∞), as n approaches infinity, the term n + n^2x^2 also tends to infinity. Therefore, for any given ε > 0, it is not possible to find a positive integer N such that |f_n(x) - f(x)| < ε for all n ≥ N and for all x ∈ [0, +∞). Thus, the sequence {f_n(x)} does not converge uniformly on [0, +∞).

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Answer:

2.5

Step-by-step explanation:

The minimum value is the minimum y-value a function includes. In this case, since you can see the function is periodic (it repeats itself periodically, hence periodic) and the smallest y-value the function encounters is 2.5 (doesn't go below this value), the minimum y-value is 2.5. I hope this made sense. If not, feel free to let me know.

Answer:

49(17 + 3)

Step-by-step explanation:

The Distributive Law says \(a(b+c)=ab+ac\).  But it can be used in the other direction,  \(ab+ac=a(b+c)\).  That way, you look at ab and ac to find the common factor a.  What's playing the role of  a  in the expression 49 x 17 + 49 x 3?  It's 49, the factor that shows up twice.  That's the factor that can be taken outside the parentheses.

49 x 17 + 49 x 3 = 49(17 + 3)

An area of mathematics that studies how competing parties interact is known as "game theory."

Game theory analyzes strategic decision-making in situations where multiple participants, known as players, make choices that affect each other's outcomes. It examines the interactions, strategies, and outcomes of these competitive or cooperative situations.

Game theory provides mathematical models and frameworks to analyze various scenarios, such as conflicts, negotiations, auctions, voting systems, and economic markets. It studies the behavior of rational players, their objectives, and the choices they make to maximize their own outcomes, considering the actions and reactions of other players.

The field of game theory explores concepts such as strategies, payoffs, Nash equilibrium, dominant strategies, and cooperative or non-cooperative games. It aims to predict and understand the behavior and outcomes of competitive situations and provides insights into decision-making, resource allocation, and the dynamics of interactions between individuals, organizations, or even nations.

Overall, game theory serves as a valuable tool in various disciplines, including economics, political science, psychology, and computer science, to analyze and model situations where competing parties interact.

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Answer:

Step-by-step explanation:

we have to know what the numbers are

The two fractions are greater than 3/4 are 4/5 and 7/8

There are infinitely many fractions greater than 3/4, but here are two examples of such fractions:

4/5: To see that 4/5 is greater than 3/4, we can convert both fractions to have a common denominator.

The least common multiple of 4 and 5 is 20, so we can write:

3/4 = 15/20

4/5 = 16/20

Since 16/20 is greater than 15/20, we can conclude that 4/5 is greater than 3/4.

7/8: We can again use the method of finding a common denominator to compare 3/4 and 7/8:

3/4 = 6/8

7/8 = 7/8

Since 7/8 is greater than 6/8, which is equivalent to 3/4, we can conclude that 7/8 is greater than 3/4.

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Structured methodologies use structure charts to show each level of a system's design, its relationship to other levels, and its place in the overall design structure.

Structure charts are graphical representations used in structured methodologies to depict the hierarchical organization and relationships within a system's design. They provide a visual representation of the modules or components of a system and how they interact with each other.

A structure chart shows the different levels or layers of the system's design, from the highest level down to the lowest level. Each level represents a module or component of the system, and the connections between the levels indicate the relationships and dependencies between these modules.

By using structure charts, structured methodologies help in understanding and documenting the overall design structure of a system. They provide a clear and concise representation of the system's architecture, allowing developers and stakeholders to visualize the system's organization and easily identify its components and their interconnections.

Other tools like Gantt and PERT charts may be used for project scheduling and management, process specifications for describing individual processes, data flow diagrams for illustrating data movement, and user documentation for providing instructions and information to users.

However, when it comes to showing the system's design structure and its relationship to other levels, structure charts are specifically used in structured methodologies.

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Answer: 31 cm/second

Step-by-step explanation:

speed = distance / time

speed = (682)/(22)

speed = 31 cm/second

the angle measures less than 90°, thus, the correct classification is acute.

First, let's define the possible angles that we have here:

Notice that the angles HML and LMK should add up to 180°, then we can write:

∠HML + ∠LMK = 180°

132° + ∠LMK = 180°

∠LMK = 180° - 132° = 48°

Now we can see that:

∠JML = ∠JMK + ∠LMK

∠JML = 41° + 48° = 89°

So the angle measures less than 90°, thus, the correct classification is acute.

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Answer:

????????????????????????????????

Step-by-step explanation:

Answer:

136 cm^2

Step-by-step explanation:

The formula for the surface area of a pyramid is SA = B + 1/2Pl, where B stands for the area of the base, P stands for the perimeter (of the base), and l stands for the slant height.

The perimeter of the triangle is three sides that are equal because this is an equilateral triangle. The base of a triangle is 1/2 base times height.

SA = B + 1/2Pl

SA = 1/2(8*7) + 1/2(8+8+8)(9)

SA = 136 cm^2

A rhombus with MK = 24 m, JL = 20, ∠MJL = 50°. So, NK = 24 m, NL = 24.8 m, ML = 24.8 m, and JM = 20 m.

We need the information about the measurements or a description of the missing measures in the rhombus. We can make it MK = 24 m, JL = 20, ∠MJL = 50° for example. Since it's a rhombus, all sides are equal in length. Therefore, NK = MK = 24 m, JM = JL = 20 m, and ML = NL.

To find ML (or NL), we can use the Law of Cosines on the triangle MJL. In this case,

ML² = JM² + JL² - 2(JM)(JL)cos(∠MJL):

ML² = 20² + 20² - 2(20)(20)cos(50°)

ML² = 400 + 400 - 800cos(50°)

ML² ≈ 617.4

Taking the square root of both sides, we get ML ≈ √617.4 ≈ 24.8 m.

So, NK = 24 m, NL = 24.8 m, ML = 24.8 m, and JM = 20 m.

The complete question is The quadrilateral below is a rhombus. Given MK = 24 m, JL = 20, ∠MJL = 50°. Find NK, NL, ML, and JM. Any decimal answers should be rounded to the nearest tenth.

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Answer:

Step-by-step explanation:

Let say the following:

p = number of points

We know that they scored the same number of points in Game 1 and Game 2.

But in Game 3, they scored 6 points less than Game 1 and Game 2.

Therefore,

Game 1 = p

Game 2 = p

Game 3 =  p - 6

To find the average you use the following formula:

Number of points / number of games = average

Basically,

(Game 1 + Game 2 + Game 3 ) / 3 = 63

So substitute the equations we made earlier and you get:

\(\frac{Game 1 + Game 2 + Game 3}{3} = 63\\\frac{p + p + (p - 6)}{3} = 63\)

After this you just want to solve for "p"

Multiply both sides by 3 to get rid of the fraction:

p + p + (p - 6) = 63 x 3 = 189

3p - 6 = 189

Add 6 to both sides.

3p = 189 + 6 = 195

Divide both sides by 3

p = 195/3 = 65

So now we know p = 65 points. Substitute this back into our equations for each game:

Game 1 = p  , Game 1 = 65 points

Game 2 = p , Game 2 = 65 points

Game 3 = p - 6 , Game 3 = 65 - 6 = 59 points

The figure illustrates four different growth patterns: exponential growth (Curve A), logarithmic decay (Curve B), linear growth (Curve C), and sigmoidal growth (Curve D).

Curve A represents an exponential growth pattern. It starts with a relatively slow increase but gradually accelerates over time. This type of growth is commonly observed in natural phenomena like population growth or the spread of infectious diseases.

Curve B depicts a logarithmic decay pattern. It begins with a steep decline but levels off over time. Logarithmic decay is often seen when a process initially experiences rapid changes but eventually approaches a stable state or limiting factor.

Curve C displays a linear growth trend. It shows a constant and consistent increase over time. Linear growth is characterized by a steady rate of change and is commonly observed in situations where there is a constant input or output.

Curve D represents a sigmoidal growth pattern. It starts with a slow initial growth, then experiences rapid expansion, and finally levels off. Sigmoidal growth is prevalent in various fields, such as biology, economics, and technology, where a system initially has limited resources, undergoes rapid development, and eventually reaches a saturation point.

The figure illustrates four different growth patterns: exponential growth (Curve A), logarithmic decay (Curve B), linear growth (Curve C), and sigmoidal growth (Curve D).

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