Identify the slope of the following equation:
y= 5 - 3x
m=? b=?

Answer:

2

Step-by-step explanation:

y2 - y1 / x2 - x1

11 - 3 / 2 - (-2)

8 / 4

= 2

Answer:

Simplifying the expression \((3\:.\:2)^5\div (3^2\:.\:2^3)\) so, there is only one power of each base we get \(\mathbf{3^3\:.\:2^2}\)

Option D is correct answer.

Step-by-step explanation:

We need to simply the expression \((3\:.\:2)^5\div (3^2\:.\:2^3)\) so, there is only one power of each base.

Solving:

\((3\:.\:2)^5\div (3^2\:.\:2^3)\)

We can write it as:

\(\frac{(3\:.\:2)^5}{3^2.2^3}\)

Now using exponent rule: \((a\:.\:b)^m=a^m\:.\:b^n\)

\(\frac{3^5\:.\:2^5}{3^2.2^3}\)

Now using the exponent rule: \(\frac{a^m}{a^n}=a^{m-n}\) the bases should be same

\(3^{5-2}\:.\:2^{5-3}\\=3^3\:.\:2^2\)

So, simplifying the expression \((3\:.\:2)^5\div (3^2\:.\:2^3)\) so, there is only one power of each base we get \(\mathbf{3^3\:.\:2^2}\)

Option D is correct answer.

To make a table of values for a linear relationship;

Choose a group of x values before creating the table. Add each x value from the left side column to the equation. Evaluate the equation (middle column) to arrive at the y value

Given,

Linear relationship;

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Linear relationships can be represented graphically or mathematically as the equation y = mx + b.

Here,

We have to make a table of values for a linear relationship;

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The value of x is 0. This means that \(8/10 = 16/20 = 4x+6/4x+11\), so the corresponding sides of triangles abc and def have the same ratio.

The similarity of two triangles can be determined by the ratio of their corresponding sides. In the case of triangles abc and def, the ratio of corresponding sides is \(8/10 = 16/20 = 4x+6/4x+11\).

To calculate the value of x, we can use the first two ratios and cross-multiply. With 8/10 = 16/20, we get 8*20=16*10, which simplifies to 160=160. Therefore, the first two ratios are equal.

To calculate the value of x using the third ratio, we can use the same method. With 4x+6/4x+11, we get (\(4x+6)*(4x+11)=4x^2+44x+66\). This simplifies to \(4x^2+44x+66=4x^2+44x+66\), so the third ratio is also equal.

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Complete question:

What is the value of x in the ratio 8/10 = 16/20 = 4x+6/4x+11?

Answer:

congruent is the best answer

The description that most accurate for a Zero-Based Budget is:

b. You put every dollar of your take-home pay into a budget category each month.

A zero-based budget is a budgeting method in which your total income minus your total expenses equals zero. This means that every dollar of your income is assigned a specific purpose, either to be saved or spent on specific expenses. The goal of this method is to ensure that you have accounted for all of your income and that you do not have any leftover funds that are not allocated to a specific purpose. In this sense, option b, "You put every dollar of your take-home pay into a budget category each month" is the most accurate description of a zero-based budget.

A zero-based budget can be applied to any source of income, whether it be a salary, freelance work, rental income, or any other type of income. The key is to allocate every dollar of that income to a specific purpose, such as savings, expenses, or investments, to ensure that all of the income is accounted for. This budgeting method can help individuals and households to better manage their finances by ensuring that they are not overspending and that they have a plan for all of their income.

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it is proven that there are no integers x, y, z such that x² + y² = 8z + 3.

What is Integers?

A whole number is a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+, and √2 are not. The set of integers consists of zero, positive natural numbers, also called integers or counting numbers, and their additive inverses.

To prove that there are no integers x, y, z such that x² + y² = 8z + 3, we can use the concept of modulo arithmetic.

First, let's consider the possible values of x² and y² modulo 8:

For any integer n, n² modulo 8 can only be 0, 1, or 4.

Now, let's examine the possible values of 8z + 3 modulo 8:

8z modulo 8 is always 0.

3 modulo 8 is equal to 3.

Therefore, the possible values of x² + y² modulo 8 can only be 0, 1, or 4, while 8z + 3 modulo 8 is equal to 3. Since 0, 1, and 4 are not equal to 3 modulo 8, there are no integers x, y, z that satisfy the equation x² + y² = 8z + 3.

Hence, it is proven that there are no integers x, y, z such that x² + y² = 8z + 3.

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Answer:

1. B. 12

2. D. 6

3. A. 12

4. C. 64

5. D. 1\(\frac{17}{18}\)

6. B. 16

Step-by-step explanation:

The four basic measurements that serve as the foundation for other units of measure are length, mass, time, and temperature.

Length is a measure of distance between two points, typically measured in meters (m) within the International System of Units (SI). Mass is the amount of matter in an object, measured in kilograms (kg) in the SI system. Time refers to the duration or interval between events and is measured in seconds (s) within the SI system.

Lastly, temperature is a measure of the average kinetic energy of particles in a substance, represented in degrees Celsius (°C) or Kelvin (K) in the SI system.

All other units of measure are defined and compared to these four basic measurements. For instance, speed is derived from the combination of length and time (e.g., meters per second). Similarly, force is derived from mass and acceleration, which itself is derived from the change in velocity over time (e.g., newtons).

The combination and comparison of these fundamental measurements enable scientists, engineers, and other professionals to quantify and analyze various phenomena in the physical world.

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Answer:

where are the answer choices?

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

The scaling assumptions underlying a question determine which descriptive measure is appropriate.

The descriptive degree can be defined as the sort of measure handling the quantitative information in a mass that famous certain preferred characteristics. The descriptive measure has different types, all depending on the one-of-a-kind characteristics of the statistics. One very critical degree is the correlation coefficient, now and again referred to as Pearson's r. The correlation coefficient measures the diploma of linear association between two variables.

A statistic is a numerical descriptive degree computed from sample information. A parameter is a numerical descriptive measure of a populace. Descriptive facts encompass measures of the count, together with; frequencies and chances, measures of vital tendency including; imply, median, and mode, measures of variability including; trendy deviation, variance, and kurtosis, and measures of role, along with; percentiles and quartiles.

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Answer:

1,784=1,780

Step-by-step explanation:

because the tens column is 4,it is not greater than 5 but less than 5.due to this, the 1,784 becomes 1,780 because in this a number less than five will automatically become 0

The answer is 1,780

Mgghvcjgghcgjchkkcf gdhjvdh gang zgb ca gdgjxfh. KkHogg b

Answer:

3 kilograms...........

Answer:

27 ÷ 9 = 3

well , yeah , am i right ?

Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

Answer:

Submarine must descend by 12 feet in the fifth minute.Average of the data:Average of a data set is calculated by dividing the sum of terms by the number of the terms of the set.From the table given in picture,Let the distance descended by submarine in 5th minute = x feetAverage distance descended by the submarine =                                                                                 =                                                                                 =  feet per minuteStatement given in the question → "Submarine must descend at an average rate of at least 10 feet per minute"So the inequality for the statement will be,38 + x ≥ 50x ≥ 50 - 38x ≥ 12    Therefore, submarine must descend 12 feet in the 5th minute.

Step-by-step explanation:

Answer:

D. \(\frac{(x-7)^2}{8^2} -\frac{(y-2)^2}{7^2}\)

Step-by-step explanation:

hope this helps

Answer:  D has the largest perimeter

Step-by-step explanation:

The top numbers of fractions describe the vertex and  the bottom number square rooted tells you how long each or wide each part of the asymptote rectangle is.

A.

P = 2(11) + 2(3)

P = 22+6

P=28

B.

P = 2(4) + 2(9)

p = 8 +18

P = 26

C.

P = 2(5) + 2(9)

P = 10 +18

P = 28

D.

P =  2(8) + 2(7)

P = 16 +14

P = 30

Answer:

You can FACTOR x^2-12x+35 by using the AC method

This means the answer will be:

(x-7)(x-5)

I hope this helps!

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The formula for Average Fixed Cost (AFC) is: AFC = FC / Q. Where FC represents the total fixed costs incurred by a firm and Q represents the quantity of output produced by the firm.

AFC is a per-unit measure of the fixed cost of production, and represents the amount of fixed cost that is attributed to each unit of output. As the quantity of output increases, the AFC decreases, since the fixed costs are spread out over a larger number of units. AFC is an important concept in economics and business, as it is used to calculate other cost measures such as average total cost and average variable cost.

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To begin with, let's first understand what a rectangular prism is. A rectangular prism is a three-dimensional object that has six faces,

Each of which is a rectangle. The faces are parallel and congruent, meaning they have the same size and shape. Now, coming to your question, you are asking about the area of one face of the rectangular prism.

Since all the faces of a rectangular prism are rectangles, the area of one face can be calculated by multiplying the length and width of the face.

For example, if the length of the rectangular prism is 5 units and the width is 3 units, the area of one face would be 5 x 3 = 15 square units. The units used to measure the length and width will also determine the unit of measurement for the area.

So, to summarize, the area of one face of a rectangular prism can be found by multiplying the length and width of that face.

if you have a rectangular prism with dimensions of length = 5 units, width = 4 units, and height = 3 units, you can calculate the area of each face as follows:

1. Length x width: 5 x 4 = 20 square units
2. Length x height: 5 x 3 = 15 square units
3. Width x height: 4 x 3 = 12 square units

So, the areas of the three different pairs of faces for this rectangular prism are 20, 15, and 12 square units, respectively.

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Answer:

47

Step-by-step explanation:

Pretty sure it equals 360 degress overall so 360 -313 = ^^^^^^^^^^^^

Answer:  y-2=-(x+5)= Slope = -2.000/2.000 = -1.000

Step-by-step explanation:  y is -3.000 and for x=2.000, the value of y is -5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.000 - (-3.000) = -2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

i put the little tips at the end for math problems like this

Answer:

(4x - 9)(3x + 2)(4x - 5)(3x - 1).

Step-by-step explanation:

Let's substitute y = (12x² - 19x):

So we have y² - 13y - 90, which can be factored as:

y² - 13y - 90 = (y - 18)(y + 5)

Substituting y back:

(12x² - 19x)² - 13(12x² - 19x) - 90 = [(12x² - 19x) - 18][(12x² - 19x) + 5]

= (12x² - 19x - 18)(12x² - 19x + 5)

= (4x - 9)(3x + 2)(4x - 5)(3x - 1)

Answer:

3x − 14 + 6 − 4 − 2x =12

3x − 2x-14 + 6 − 4  =12

3x − 2x-14 − 4+6  =12

3x − 2x-18+6  =12

3x − 2x-12  =12

x-12=12

x=24

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

3x-14+6-4-2x=12

You move everything but the (x)s to the other side and combine like terms. Don't forget that when you move things over the equal sign the sign changes.

3x+6-4-2x=26

3x-4-2x=20

3x-2x=24

x=24

In its simplest radical form, the area of the right triangle is 8sqrt(3) square feet.

How is area determined?

The length of the other leg of the right triangle can be determined using the Pythagorean theorem:

\(a^2 + b^2 = c^2\)

where the hypotenuse is c and the triangle's legs are a and b.

We are aware that the hypotenuse c is 8 feet long and that leg an is 4 feet long. Let's work out the answer for the opposite leg's length, b:

\(b^2 = c^2 - a^2\sb^2 = 8^2 - 4^2\sb^2 = 64 - 16\sb\)

\(sqrt(48) = 4sqrt(3) foot where 2 = 48 b\)

Given that we know the lengths of both legs, we can use the following formula to get the triangle's area:

\((1/2) * Base * Height = Area\)

We may use the 4 ft leg as the base and the 4sqrt(3) ft leg as the height since one leg is 4 ft and the other is 4sqrt(3) ft:

Area: (1/2) * 4 feet * 4 square feet (3)

= 8sqrt(3) square feet

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After 4 hours of discharging, the volume left in the tank would be 500 liters. The correct option is C.

Initially, the tank has a water capacity of 1500 liters.

After three hours of discharging, half of the water is discharged, which means 1500/2 = 750 liters have been removed from the tank.

To find the volume left after 4 hours of discharging, we need to subtract the additional amount discharged in the fourth hour.

Since the discharge rate remains the same, we can calculate the amount discharged in one hour as 750/3 = 250 liters.

Therefore, in the fourth hour, 250 liters would be discharged. Subtracting this from the remaining water after three hours (750 liters), we get 750 - 250 = 500 liters.

Therefore, the correct answer is c. 500 liters.

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Answer:

x=16

y=18

i took it :)

The value of x and y are x = 18 and y = 16.

The complete ratio is 18/a = a/16.

Those triangles look the same but are different in size.

And in similar triangles,

the corresponding sides are in proportion to each other and the corresponding angles are equal to each other.

Given:

In ΔABC and ΔBDC,

∠ABC ≅ ∠BDC (right angle)

BC ≅ BC = a (reflexivity)

∠ACB ≅ ∠BCD (same angle)

ΔABC ≅ ΔBDC.

Hence, ΔABC ~ ΔBDC

The ratio of the corresponding sides is constant.

AC/BC = BC/CD

Substituting all the given values, we get,

18/a = a/16.

Comparing the above ratio with the given ratio x/a = a/y,

we get,

x = 18 and y = 16.

Therefore, x = 18 and y = 16.

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The cubic feet of space in the given tent is 150 cubic feet. The formula to calculate the volume of a triangular prism is: V = 1/2 * b * h * l Where V is the volume of the triangular prism b is the base of the triangle h is the height of the triangle l is the height of the triangular prism.  

Now we have to calculate the volume of a tent shaped like a triangular prism using the given measurements. According to the given data, The height of the triangular prism is 6 feet. The height of the entrance triangle is 3.5 feet. The base of the entrance triangle is 4.5 feet. So, the area of the entrance triangle = 1/2 * base * height = 1/2 * 4.5 * 3.5 = 7.875 square feet. The area of the base triangle = 1/2 * base * height = 1/2 * 4.5 * 6 = 13.5 square feet. Now, the volume of the triangular prism can be found by multiplying the area of the base triangle by the height of the triangular prism: V = 13.5 * 6 = 81 cubic feet. Now, the total volume of the tent will be the sum of the volume of the triangular prism and the entrance triangle: V(total) = V(prism) + V(triangle) = 81 + 7.875 = 88.875 cubic feet (rounded to three decimal places)Thus, the cubic feet of space in the given tent is 150 cubic feet (approx).  

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To find a vector that is perpendicular to another vector, we can take the cross product of the given vector and any non-zero vector. The resulting vector will be perpendicular to the original vector. In this case, we are given the vector 〈2, -1, 3〉, and we need to find a vector that is perpendicular to it.

To find a vector perpendicular to 〈2, -1, 3〉, we can take the cross product of this vector with any non-zero vector. The cross product of two vectors, say vector A and vector B, is a vector that is perpendicular to both A and B.

Let's choose a non-zero vector, say 〈1, 0, 0〉, and take the cross product with 〈2, -1, 3〉:

〈1, 0, 0〉 × 〈2, -1, 3〉

The result of the cross product will give us a vector that is perpendicular to both 〈2, -1, 3〉 and 〈1, 0, 0〉. We can calculate this cross product to find the desired vector.

The resulting vector will be perpendicular to 〈2, -1, 3〉. It's important to note that there are infinitely many vectors that are perpendicular to a given vector, as long as they are non-zero and not collinear with the original vector.

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