what is 5 to the power of 5 squared?

The best estimate of the slope of the best-fit line for the graph at the right will be 7/4.

The ratio of the increase in elevation between two points to the run in elevation between those same two points is referred to as the slope. A line that is moving up will have a positive slope, and a line that is moving down will have a negative slope if you view the line from left to right. A line's slope often indicates the steepness and direction of the line. By calculating the difference between the coordinates of the two points, (x₁,y₁) and (x₂,y₂), it is simple to calculate the slope of a straight line between them. The letter "m" is frequently used to denote slope.

Given Data

x coordinate = 4

y coordinate = 7

Slope = y-coordinate/ x-coordinate

Slope = 7/4

The best estimate of the slope of the best-fit line for the graph at the right will be 7/4.

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Answer:

since I can't see the whole shape or what the question is asking for, I'm going to assume that the shape is a square and that the question is asking for the perimeter because that appears to be the only way to get 6x–2

\(2(x+2) + 2(2x-3)\\=(2x+4)+(4x-6)\\= 6x-2\)

Step-by-step explanation:

to get the answer 6x–2, you would have to multiply the base by 2 and the height by 2 and add them together.

The midpoint of the line segment given is (1, 4.5)

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment equally into two halves.

The formula of midpoint of a line is given as

\(M_x_y = \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\)

Substituting the given values;

\(M_x_y = \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\\M_x_y = \frac{-2+4}{2}, \frac{7+2}{2} \\M_x_y = 1, \frac{9}{2} \\M_x_y = 1, 4.5\)

The midpoint of the line AB is equal to (1, 4.5)

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Answer:

0 - $45

1 - $42

2 - $39

3 - $36

3(a)=45

with 2 more cups it there would be $30 left

Step-by-step explanation:

Answer:

Step-by-step explanation:

A = 45 - 3x ;

(0, 45);

(1, 42);

(2, 39);

(3, 36)

Given the expression :

The expression will be equal:

so, the answer is option 4)

The given polynomial can be factored as 20 p³ - 1.

The given polynomial is,

20 p³ - 1

We have to factor the polynomial.

There are two terms, 20 p³ and 1.

Here we have to find the greatest of all the common factors.

Here it is 1.

So 20 p³ - 1 = 1 (20 p³ - 1)

Hence the polynomial can be factored as 20 p³ - 1.

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we often predict the probability of an event happening in the future based on how easily we can recall a similar type of event from the past. this is known as the  availability bias

When faced with an instant choice requirement, the availability heuristic enables people to make decisions fast. When you are trying to decide, a lot of connected incidents or circumstances could pop into your head right away. You can conclude that some events are more common or likely than others as a result.

You tend to overestimate the possibility and likelihood of similar situations happening in the future and give this information more weight. When you're attempting to decide or pass judgement on the world around you, this can be useful. Would you argue, for instance, that words in the English language that start with the letter t or with the letter k are more numerous?

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Are you asking for the formula of a line that passes through these points?

Answer:

th

Step-by-step explanation:

Answer: I believe the vertex for this problem is (3, 14)

The correct answer is Men continue to earn more than women.

The average yearly wages of men and women are different from one another. Men make more money than women do.

What is the annual salary?

Annual earnings may also be referred to as annual income or yearly income. It displays a person's earnings over a specific time period.

The yearly earning of a person or a corporation is calculated by dividing the monthly earnings by the number of months in a year.

Men continue to earn more than women under the situation mentioned above, hence their wages are higher. The red line is always above the blue line.

As a result, choice A is accurate which is men continue to earn more than women.

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Answer: C. women's earnings have increased in relation to men's earnings

Step-by-step explanation:

The chart shows that

Answer:

28

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

5^3 * 5^6 = 5^(3+6) = 5^9 <-- Add exponents when multiplying

8^7 / 8^2 = 8^(7-2) = 8^5 <-- Subtract exponents when dividing

9^7 / 9^11 = 9^(7-11) = 9^(-4) <-- Subtract exponents when dividing

(4^5)^3 = 4^(5*3) = 4^15 <-- Multiply exponents when raising a base with an exponent to an exponent

Answer:

Step-by-step explanation:

Were there not several equations from which to choose?

The coefficients of 25x^2 - 10x + 4 are {25, -10, 4}.  The discriminant is thus b^2 - 4ac, or (-10)^2 - 4(25)(4), or 100 - 400, or -300.  Because the discriminant is negative, the quadratic has no real solutions.

The quadratic equation with no real solution is 25x²-10x+4 = 0

The meaning of quadratic equation is any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.

Given that, which of the equations have no real solution,

Considering the quadratic equation 25x²-10x+4 = 0

D = \(\sqrt{b^{2} -4ac}\)

We know, when √D > 0, real roots

√D = 0, equal roots

√D < 0, imaginary roots

\(\sqrt{b^{2} -4ac}\) =

\(\sqrt{10^{2} -400} \\\sqrt{-300}\)

Since, the discriminant is less than 0, therefore, its roots are imaginary.

Hence, The quadratic equation with no real solution is 25x²-10x+4 = 0

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9 cents per cookie

Subtract 2.25 from 5.40 and get 3.15 divide 3.15 by 35

The difference between the two items are depends on sample size, the method of counting, or the criteria for classification can all impact the percentage calculation.

Percentage is a measure of the proportion of one value to another expressed as a fraction of 100. For example, if there are 100 apples, and 25 of them are red, then the percentage of red apples is 25%. Similarly, if there are 200 bananas, and 50 of them are ripe, then the percentage of ripe bananas is also 25%.

However, the context in which these percentages are calculated can be different. For instance, the way in which the 25% of red apples was calculated could be different from how the 25% of ripe bananas was calculated.

To illustrate this, let's consider an example. Suppose there are two cities, A and B, with populations of 10,000 and 5,000, respectively. In city A, 2,500 people have blue eyes, while in city B, 1,250 people have blue eyes. At first glance, it may seem that the percentage of people with blue eyes is the same in both cities, at 25%.

However, if we look closer, we can see that the actual number of people with blue eyes is different between the two cities. City A has twice as many people with blue eyes as city B, even though the percentage is the same.

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Answer:

slope: 3

y-intercept: -1

equation: y = 3x - 1

Step-by-step explanation:

The equation computed shows that there are 12 rows that has exactly 2 passengers and 36 rows exactly 3 passengers.

The equation that can be used to solve the information will be:

x + y = 48

2x + 3y = 132

From the information given, it was stated that the airplane has seats for 144 passengers. The seats are arranged in 48 rows, with 3 seats in each row.

The equation that can be used to solve the information will be:

x + y = 48

2x + 3y = 132

Solving the above simultaneously, we will get y = 36.

Then we'll put the value of y back into the equation.

x + y = 48

36 + x = 48

x = 48 - 36

x = 12

Therefore, there are 12 rows that has exactly 2 passengers and 36 rows exactly 3 passengers.

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Using the residue theorem, we will evaluate the integral of z+i / ((z-2)(z+4)) around the contour C: ||z|| = 1.

To apply the residue theorem, we first need to find the singularities of the integrand, which occur when the denominator is equal to zero. In this case, the singularities are at z = 2 and z = -4.

Next, we determine the residues at each singularity. The residue at z = 2 can be found by evaluating the limit of (z+i)(z+4) / (z-2) as z approaches 2. Similarly, the residue at z = -4 can be found by evaluating the limit of (z+i)(z-2) / (z+4) as z approaches -4.

Once we have the residues, we can use the residue theorem, which states that the integral of a function around a closed contour is equal to 2πi times the sum of the residues inside the contour. Since the contour C: ||z|| = 1 encloses the singularity at z = -4, the integral simplifies to 2πi times the residue at z = -4.

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#Complete Question:- Given that C: || z || = 1, using the residue theorem find Z+i 24(2-2)(2+4) $cz -dz

The speed at which the distance between the ships is changing at 7 PM is 207.3 knots.

To find the speed at which the distance between the ships is changing, we can use the concept of relative velocity.

At noon, ship A is 40 nautical miles due west of ship B.

From then until 7 PM, a total of 7 hours have passed.

Ship A is sailing west at 17 knots, so it would have traveled a distance of 17 knots x 7 hours = 119 nautical miles westward.

Ship B is sailing north at 19 knots, so it would have traveled a distance of 19 knots x 7 hours = 133 nautical miles northward.

Using the Pythagorean theorem, the distance between the two ships at 7 PM can be calculated as follows:

Distance = √((40 + 119)² + (133)²)

= √(159² + 133²)

= √(25281 + 17689)

= √42970

= 207.3 nautical miles

Therefore, the speed at which the distance between the ships is changing at 7 PM is 207.3 knots.

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The distance between the ships is changing at a rate of 552 knots at 7 PM. At 7 PM, ship A will have been sailing west for 7 hours, covering a distance of 7 x 17 = 119 nautical miles. Similarly, ship B will have been sailing north for 7 hours, covering a distance of 7 x 19 = 133 nautical miles.

To find the distance between the ships at 7 PM, we can use the Pythagorean theorem. Let's call the distance between the ships at noon D.

Using the Pythagorean theorem, we have:
\(D^2 = (40 + 119)^2 + (133)^2\)

Simplifying, we get:
\(D^2 = 159^2 + 133^2\)

Calculating, we find:
D ≈ 204 nautical miles

Now, we need to find how fast the distance between the ships is changing at 7 PM. To do this, we differentiate the equation for D with respect to time t:

\(\frac{dD}{dt} = 2(40 + 119)(17) + 2(133)(0) = 552\; knots\)

Therefore, the distance between the ships is changing at a rate of 552 knots at 7 PM.

In conclusion, the distance between the ships is changing at a rate of 552 knots at 7 PM.

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The expression that represents the discounted price of the jacket is 0.7x. This means that the discounted price is 70% of the original price, or equivalently, that the discount reduces the price of the jacket by 30%.

What is original price?

In order to determine the sales price, the value of the discount would be subtracted from the original price.

When an item is offered at a discount, the discounted price is usually calculated by subtracting the discount from the original price. In this case, since the discount is 30%, we can find the amount of the discount by multiplying the original price x by 0.3. This gives us 0.3x, which is the amount of money that is being discounted from the original price. To find the discounted price, we subtract this amount from the original price, which gives us:

x - 0.3x = 0.7x

So, the expression that represents the discounted price of the jacket is 0.7x. This means that the discounted price is 70% of the original price, or equivalently, that the discount reduces the price of the jacket by 30%.

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A variable without a clear operational definition can greatly impact the accuracy and reliability of statistics performed on it. To ensure accurate and meaningful results, it is important to have clear, well-defined variables in any research study.

The lack of a clear definition can lead to inconsistencies in data collection, making it difficult to accurately interpret and analyze the results.

Step 1: When a variable has no clear operational definition, researchers may measure or interpret it in different ways, leading to inconsistencies in data collection.

Step 2: These inconsistencies can affect the reliability and validity of the collected data, which in turn impacts the accuracy of the statistical analysis performed.

Step 3: As a result, the findings from such analyses may not accurately represent the true relationships or patterns within the sample or the population, leading to incorrect conclusions.

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Answer:

I. Hijo, h = 10 años

II. Padre, P = 40 años

Step-by-step explanation:

Traduciendo el problema verbal a una expresión algebraica, tenemos;

P = 4h .....ecuación 1.

P + 5 = 3(h + 5) ........ecuación 2.

Simplificando aún más, tenemos;

P + 5 = 3h + 15

P = 3h + 15 - 5

F = 3h + 10 ......ecuación 3.

Sustituyendo la ecuación 1 en la ecuación 3;

4h = 3h + 10

4h - 3h = 10

h = 10 años

A continuación, encontraríamos la edad del padre;

P = 4h

P = 4 * 10

P = 40 años

Answer: 5:12

Step-by-step explanation:

25:60

But we can simplify this down too.

25:60

5:12

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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Answer:

5+2x

Step-by-step explanation:

Answer:

5 + 2x

Step-by-step explanation: