Can somebody please find the slope for me

1. Three examples of situations where consistency is important:

Healthcare: when treating patients, healthcare providers must follow consistent procedures and protocols to ensure that every patient receives the same level of care.

Financial transaction: when making financial transactions, it is important to follow regular security rules to prevent fraud.

Support rules: Adherence to consistent rules and regulations in sports is essential to ensure fair play and the safety of all participants.

2. The number 0 is important in mathematical systems because it represents the absence of a number and serves as a placeholder. Without zero, our mathematical system would be affected in many ways. For example, writing the number 100 would be difficult without the zero. Without the invention of zero, progress in mathematics would have been delayed.

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Comparison or relational operations, such as <, >, =, allow for comparing numbers. They determine if a number is less than, greater than, equal to, or not equal to another number, enabling decision-making and comparisons within arithmetic and programming operations.

When comparing numbers, you can use various relational operators to determine the relationship between them. Here are the commonly used comparison operators:

Less than (<): This operator compares two numbers and returns true if the first number is smaller than the second number. For example, 5 < 10 is true.

Greater than (>): This operator compares two numbers and returns true if the first number is larger than the second number. For example, 10 > 5 is true.

Less than or equal to (<=): This operator compares two numbers and returns true if the first number is smaller than or equal to the second number. For example, 5 <= 5 is true.

Greater than or equal to (>=): This operator compares two numbers and returns true if the first number is larger than or equal to the second number. For example, 10 >= 10 is true.

Equal to (==): This operator compares two numbers and returns true if they are equal. For example, 5 == 5 is true.

Not equal to (!=): This operator compares two numbers and returns true if they are not equal. For example, 5 != 10 is true.

These comparison operators allow you to compare numbers and make decisions based on their relationships within arithmetic or programming operations.

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The probability that the passenger waits less than 5 minutes for a bus is approximately 0.45.

The probability that a passenger arriving at a specified stop between 7:00 AM and 7:30 AM waits less than 5 minutes for a bus can be calculated as follows:

There are 31 buses that arrive at the stop between 7:00 AM and 7:30 AM, since they arrive at 15-minute intervals. If a passenger arrives at a random time within this 30-minute period, then there is a uniform distribution of possible arrival times.

If we assume that the passenger's arrival time is uniformly distributed over this period, then the probability that the passenger waits less than 5 minutes for a bus is equal to the proportion of the 30-minute interval during which a bus arrives within 5 minutes of the passenger's arrival time.

Since each bus arrives at 15-minute intervals, the probability that a bus arrives within 5 minutes of the passenger's arrival time is the same for each of the 31 buses.

Therefore, the probability that the passenger waits less than 5 minutes for a bus is equal to the proportion of the 30-minute interval that is covered by the 31 buses arriving within 5 minutes of the passenger's arrival time.

To calculate this probability, we can consider the total time covered by the 31 buses that arrive within the 30-minute interval, and then subtract the time during which these buses arrive more than 5 minutes before or after the passenger's arrival time.

There are 2 buses that arrive before the passenger's arrival time, and 2 buses that arrive more than 5 minutes after the passenger's arrival time, so we need to subtract the time covered by these 4 buses.

The time covered by the 31 buses that arrive within the 30-minute interval is 31 × 15 = 465 minutes. The time covered by the 4 buses that arrive before or after the passenger's arrival time is 4 × 15 = 60 minutes. Therefore, the time covered by the 31 buses that arrive within 5 minutes of the passenger's arrival time is 465 - 60 = 405 minutes.

The probability that a bus arrives within 5 minutes of the passenger's arrival time is therefore 405/30 = 13.5/1 or approximately 0.45.

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If you draw a tiny circle with a 90-degree sector, it is not a dilation of the original circle because a dilation is a transformation that changes the size of an object while preserving its shape.

In a dilation, all corresponding points in the original and the transformed shapes lie on a line passing through the center of dilation, and the scale factor of the dilation determines the ratio of the corresponding lengths of any two segments that join corresponding points.

In the case of the tiny circle with a 90-degree sector, the sector has a different shape than the original circle, and the sector has a larger perimeter than the corresponding arc of the original circle. Therefore, the sector is not a dilation of the original circle.

Furthermore, a 90-degree sector of a circle can be obtained by cutting a part of the original circle and thus cannot be obtained by dilation alone.

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Answer:

\(x=9\)

Step-by-step explanation:

To solve the given equation:

3(x-7) = 6

We first distribute the 3 to the terms inside the parenthesis:

3x - 21 = 6

Next, we add 21 to both sides of the equation to isolate the term with the variable:

3x - 21 + 21 = 6 + 21

Simplifying, we get:

3x = 27

Finally, we divide both sides by 3 to solve for x:

3x/3 = 27/3

Simplifying, we get:

x = 9

Therefore, the solution to the equation 3(x-7) = 6 is x = 9.

Answer: x = 9

Step-by-step explanation:

3(x-7)=6

multiplying to remove brackets-

3x-21 = 6

solve equation-

3x = 27

x = 27/3

x = 9

Answer:

S^2 = r^2 + t^2

Step-by-step explanation:

Also you can write it as:

S=sqrt( r^2 +t^2)

according to the choices you have

The expression (3.6 * 10^-5) / (1.8 * 10^2) can be calculated as = 2 * 10^-7

A canonical, normal, or standard form of a mathematical object is a conventional manner of presenting that item as a mathematical expression in mathematics and computer science. It is frequently the one that gives the simplest representation of an item and allows it to be identified in a unique fashion.

A quantity is said to be stated in standard form if it is written as the product of a power of ten and a number higher than or equal to one but less than ten (or scientific notation).

The expression (3.6 * 10^-5) / (1.8 * 10^2) can be calculated as follows:

=3.6 * 10^-5 / (1.8 * 10^2)

= (3.6 / 1.8) * (10^-5 / 10^2)

= 2 * 10^-7

Therefore, the answer in standard form is 2 * 10^-7.

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The percent increase of Tory's earnings is 25%.

Percent​ increase is aimply the amount of increase from the initial value to the new value in terms of 100 parts of the initial value.

It is expressed as;

C = ((x₂ - x₁) / x₁)100%

Where x₁ is initial value and x₂ is new value

Given that:

Initial value x₁ = $8.00

New value x₂ = $10.00

Percent increase C = ?

Substituting the given values, we get:

C = ((x₂ - x₁) / x₁)100%

C = (( 10 - 8 ) / 8)  × 100%

C = ( 2/8)  × 100%

C = 25%

Therefore, the percent increase is 25%.

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Answer:

Table B  doesnt represent a function

Answer:

Step-by-step explanation:

D (20 degrees) is the most reasonable estimate.  Were the angle 65 degrees, the plane would almost surely crash because the body of the plane could not possibly change direction so quickly.

Answer:

D!!!!!!

Step-by-step explanation:

Answer:

the y one is 3.8

the 3x one is 6

Step-by-step explanation:

Answer:

3.5kg

Step-by-step explanation:

Let original weight  of grapes in box be X and weight of grapes in basket be Y.

From the first sentence
X = 2Y  (weight in box = 2 times weight in basket)   --- (1)

If you add 2kg of grapes to basket, the weight of grapes in basket = Y + 2

From the second statement

Y + 2 = X + 0.5

Subtracting Y from the LHS gives 2 = X - Y + 0.5

Subtracting 0.5 from both sides gives 2-0.5 = X - Y or X - Y = 1.5  --- (2)

Substituting for X from the first equation in (2) we get
2Y - Y = 1.5 or Y = 1.5kg

But this is the original weight of the grapes in the basket. Since we have added 2 kg of grapes to the original weight, we get the weight of grapes in basket now as 1.5 + 2.0 = 3.5kg

Without specific information about the data set, it is not possible to determine which equation is the best fit.

To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.

However, I can provide a general explanation of the four options:

y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.

y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.

y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.

y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.

Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.

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Answer:

x=40 degrees

Step-by-step explanation:

a triangle is a total of 180 degrees. 180-120-20=40

Answer:

the value of X would be 40

Answer:

y = 3/2x - 4

Step-by-step explanation:

Answer:

P(1.062)

Step-by-step explanation:

According to the given information

Melanie invests her money into an account that pays simple interest.

And the simple interest rate = 6.2%

So we can write = 6.2% = 6.2/100 = 0.062

So the rate is 0.062

Now let us assume the invested money is $P

now the maturity after one year with simple interest = P + (P x r x t)

principal amount = P

rate of interest r = 0.062

time in years t = 1

so the matured value = P + (P x 0.062 x 1)

so the matured value = P + (0.062P)

so the matured value = P[1 + 0.062 ]

matured value = 1.062(P)

So in on step, we can write the matured value with simple interest = principal x (1 + (r/100))

so r = 6.2%

So, the answer is P(1.062)

Answer:

Marcus is correct. Jeremy squared -5 instead of 5. The negative is not within parentheses, so it is not squared.

Step-by-step explanation:

The answer is in your question o-o

If u could subscribe to my friend penny_pg3d on yt that would be great

The value of a=12

Simply use cross multiplication :

The process of multiplying numbers in the shape of a fraction is called cross multiplication. Cross multiplying, also known as cross multiplication, is the process of multiplying the numerator of one fraction by the denominator of the other fraction on the other side of an equals to symbol. Cross multiplication is a method for comparing fractions.

Both fractions with like and unlike parts are multiplied across. When employing the cross-multiplication procedure, we multiply the denominators as well as the numerators when a fraction is dissimilar, or when the denominators of two fractions are not alike.

\(\frac{a}{15}=\frac{4}{5}\)

or, 5a=4*15

or, a= 4*15/5

or, a= 12

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Answer:

84°+z°=180°[co exterior angles]

z°=180°-84°

z°=96°

84°=(3x+6)° [alternate exterior angles]

84 - 6=3x

78/3=x

26=x

Answer: 1.2

Step-by-step explanation:  

To get 8% you have to do 8/100

that equals .08

Multiply .08 with 15 and it equals 1.2

Answer1.2:

Step-by-step explanation:

The probability of of a random student having blue eyes and dark hair

 is 35% .

let consider the total students in the school be (U) = 100%

out of them ,

students having blue eyes (A) = 60%

students having  dark hair (B) = 55%

students with neither blue eyes nor dark hair (A∪B)' = 20%

let the students with blue eyes and dark hair be (A∩B) = x %

Then according to the set theorem

U = n(A∪B) + n(A∪B)'

U = n(A) + n(B) - n(A∩B) + n(A∪B)'

100 = 60 + 55 - x +20

∴ x = 60 + 55 +20 - 100

x = 35 %

So the probability of random student having blue eyes and dark hair is 35% .

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Answer:

7/8

Step-by-step explanation:

1/4= 2/8

2/8 + 5/8 = 7/8

Step-by-step explanation:

5 % decrease means 95 %  (.95)  remain

Year 1

   800 * .95

   year 2  800 * .95  * .95

       .

       .

        year 5 = 800(.95)^5 = 619 deer after year 5

Given:

Required:

Find f(x) - g(x).

Explanation:

The given functions are:

Final Answer:

When the addition of a constraint to a linear programming problem does not change the solution, it is said to be redundant. The correct answer is D) redundant.

A constraint in a linear programming problem is said to be redundant if its addition to the problem does not change the solution. In other words, the constraint is already satisfied by the current solution and does not impose any additional restrictions on the feasible region.

In contrast, an unbounded constraint allows for an infinite range of solutions, a non-negative constraint requires that the variables be greater than or equal to zero, and an infeasible constraint cannot be satisfied by any solution.

Therefore, if the addition of a constraint does not change the solution of a linear programming problem, it is considered to be redundant. I.e, the correct answer is D) redundant.

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Answer:

The length of the hypotenuse is 10 yards.

Step-by-step explanation:

Given that this is a right triangle, you could apply the Pythagorean Theorem to it. Although I'm not exactly sure, given as there's no indication in your question.

The Pythagorean Theorem is a^2 + b^2 = c^2, for context.

So, 6^2 + 8^2 = ?^2.

6^2 = 36

8^2 = 64

64 + 36 = 100

However, 100 isn't the side length of c, it's c squared. To "unsquare" it, you need to find the square root of it.

In this case, the square root of 100 is 10.

6^2 + 8^2 = 10^2. Makes sense, right?

36   + 64  = 100

Hope this helps.