Solve
each of the following equations. Show its solution set on a number line. Check a
your answers.
|5x |=3

Answer:

the answer should be, A. im pretty good at this kind of thing so It should be right but if not, sorry.

Step-by-step explanation:

Answer:

3 miles

Step-by-step explanation:

1/8*24=3

Answer:

Step-by-step explanation:

He ran 24 times around the track1

Circumfrence of track=1/8 Mile

Total distance he covered=1/8*24

Distance = 3 miles

The total that Tony has is 1465 while Gene has a total of 1565, hence they are not equivalent.

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

14 hundreds, six tens, and 5 ones = 14(100) + 6(10) + 5(1) = 1465

1 thousand, 4 hundreds, 16 tens. and 5 ones = 1(1000) + 4(100) + 16(10) + 5(1) = 1565

The total that Tony has is 1465 while Gene has a total of 1565, hence they are not equivalent.

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Answer:

Step-by-step explanation:

Gene has more, also, by the way, aren't you in my school? Do you know Ezekiel?

Answer:

its b lol

Step-by-step explanation:

Answer is 203.

Average:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

Given,

For double queen beds increment is $120 x 3% => $120 x (3/100) => 3.6.

The total rate for double queen beds = $120 + $3.6 = $123.6

For king beds increment is $140 x 3% => $140 x (3/100) => 4.2

The total rate for double queen beds = $140 + $4.2 = $144.2

For junior suite increment is $210 x 3% => $210 x (3/100) => 6.3

The total rate for junior suite = $210 + 6.3 = $216.3

For luxury suite increment is $320 x (3/100) => 9.6

The total rate for luxury suite = $320 + 9.6 = $329.6

The average rate =  ($123.6 + $144.2 + $216.3 + $329.6) / 4

=> $203.425 i.e., $203

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Answer:

the depth of seeds

Step-by-step explanation:

The independent variable is the variable that is manipulated or changed by the experimenter and is assumed to have a direct effect on the dependent variable.

Answer:

cool beans :) is there more to the question? or that's it?

Step-by-step explanation:

hope you are having a spectacular day!!

if two triangles have three pairs of congruent angles, then they must be congruent to each other by the Angle-Angle-Angle (AAA) congruence theorem, and thus cannot be non-congruent.

No, it is not possible to make two triangles that are not congruent and have three pairs of congruent angles. This is because if two angles of a triangle are congruent, then the third angle must also be congruent by the Angle Sum Theorem, which states that the sum of the angles in a triangle is always 180 degrees. If two triangles have three pairs of congruent angles, then all three angles in each triangle are congruent, meaning they have the same measure. However, this does not guarantee that the sides of the triangles are congruent. In order for two triangles to be congruent, they must have the same angle measures as well as the same side lengths. Therefore, if two triangles have three pairs of congruent angles, then they must be congruent to each other by the Angle-Angle-Angle (AAA) congruence theorem, and thus cannot be non-congruent.

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By using implicit enumeration, the 0-1 integer programming model problem can be solved to maximize the objective function subject to the given constraints.

Implicit enumeration is a technique used to solve integer programming problems by systematically evaluating all possible combinations of decision variable values within the feasible region. In this problem, the objective is to maximize the expression 4x₁ + 5x₂ + x₃ + 3x₄ + 2x₅ + 4x₆ + 3x₇ + 2x₈ + 3x₉, where x₁, x₂, x₃, x₄, x₅, x₆, x₇, x₈, and x₉ are binary variables (0 or 1).

The problem is subject to several constraints, such as 3x₂ + x₄ + x₅ ≤ 23, x₁ + x₂ ≤ 1, x₂ + x₄ + x₅ + x₆ ≤ -1, and x₂ + 2x₃ + 3x₇ + x₈ + 2x₉ ≥ 4, among others. These constraints define the feasible region of the problem.

To solve the problem using implicit enumeration, we evaluate all possible combinations of the binary decision variables within the feasible region. We calculate the objective function value for each combination and identify the combination that maximizes the objective function.

Once we have enumerated all possible combinations, we compare the objective function values and select the combination that yields the highest value. This combination represents the optimal solution to the 0-1 integer programming problem.

By applying implicit enumeration to this problem, we can determine the values of x₁, x₂, x₃, x₄, x₅, x₆, x₇, x₈, and x₉ that maximize the objective function while satisfying the given constraints.

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the length of the arc is approximately 19.8 ft when rounded to the nearest tenth decimal place.

To find the length of an arc given the radius and the degree measure of the central angle, we can use the formula:

arc length = (central angle in degrees / 360°) x 2πr

where r is the radius of the circle.

In this problem, we are given the radius as 19 ft and the central angle as 150°. Thus, we can plug these values into the formula and get:

arc length = (150° / 360°) x 2π(19 ft) ≈ 19.8 ft

what is angle?

An angle is a geometric figure formed by two rays, called the sides of the angle, that share a common endpoint, called the vertex of the angle. Angles are commonly measured in degrees or radians and are used in geometry, trigonometry, and many other areas of mathematics and science.

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Answer:

I think the correct answer is A

Step-by-step explanation:

becoz an isosceles triangle has both angles equal and also the hypotenuse is the same

Therefore, the plastic strain from 120,000 psi is 0.6%.

To compute the plastic strain from 120,000 psi, we need to subtract the elastic strain recovery from the total strain.

Given:

Stress at yield point (fully unloaded): 90,000 psi

Elastic strain recovery: 0.3%

Total strain at 120,000 psi: 0.9%

First, let's calculate the elastic strain:

Elastic strain = Stress / Modulus of elasticity

Assuming the modulus of elasticity is constant throughout the loading and unloading process, we can find it using the stress and strain at the yield point:

Modulus of elasticity = Stress at yield point / Elastic strain at yield point

Modulus of elasticity = 90,000 psi / (0.3% / 100)

= 30,000,000 psi

Now, let's calculate the elastic strain at 120,000 psi:

Elastic strain at 120,000 psi = (120,000 psi) / (30,000,000 psi)

= 0.004

Finally, we can compute the plastic strain by subtracting the elastic strain recovery from the total strain at 120,000 psi:

Plastic strain = Total strain at 120,000 psi - Elastic strain recovery

Plastic strain = 0.9% - 0.3%

= 0.6%

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Distance between the points (-3, 5, -7) and (2, -4, 6) is 5√11 units.

What is cartesian coordinate points?

The Cartesian coordinates of a point in three dimensions are the triple (x, y, z). The three numbers or coordinates give the signed distance from the origin along the x, y, and z axes respectively.

Solution:

Given, x1 = -3     ,  x2 = 2

           y1 = 5      ,  y2 = -4

           z1 = -7     ,  z2 = 6

The formula for finding the distance between two points on 3D graph is given below

Distance =√((x2-x1)²+(y2-y1)²+(z2-z1)²)

⇒Distance =√{(2-(-3))²+(-4-5)²+(6-(-7))²}

⇒Distance =√{(2+3)²+(-9)²+(6+7)²}

⇒Distance =√{5²+81+13²}

⇒Distance =√(25+81+169)

⇒Distance =√275

⇒Distance =5√11

Thus, the distance between (-3, 5, -7) and (2, -4, 6) is 5√11.

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According to the given information the distance between the points 16.58 units.

the algebraic phrase known as the distance formula, which provides the distances between two places in terms of respective dimensions (see coordinate system). The distance formulae for locations in rectangular coordinates in two- and two half Euclidean space are based upon that Pythagorean theorem.

We can determine an object's actual size by learning how far it is from us. The area that an object occupies in the sky may be measured. The distance to an object is then necessary to calculate its real size. An thing appears smaller the farther it is away.

The distance between two points (x₁, y₁, z₁) and (x₂, y₂, z₂)

\(\begin{equation}d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2+\left(z_2-z_1\right)^2}\end\)

x₁, y₁, z₁ = -3, 5, -7

x₂, y₂, z₂ = 2, -4, 6

\(\begin{equation}d=\sqrt{\left(2+3\right)^2+\left(-4-5\right)^2+\left(6+7\right)^2}\\\begin{equation}d=\sqrt{\left(5\right)^2+\left(-9\right)^2+\left(13\right)^2}\\\begin{equation}d=\sqrt{25+81+169}\\\begin{equation}d=\sqrt{275}\\\)

= 16.58 units

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- Events A, B, C, and D are exhaustive.
- Events A and B, B and D are not mutually exclusive.
- Events A and C, C and D, A and D are mutually exclusive.

To determine whether the events are exhaustive or mutually exclusive, we need to understand the definitions of these terms:
1. Exhaustive events: Events are considered exhaustive if the union of all the events covers the entire sample space S. In other words, there are no outcomes in the sample space that are not included in any of the events.
2. Mutually exclusive events: Events are considered mutually exclusive if they have no outcomes in common. In other words, the events cannot occur simultaneously.
Now let's analyze the given events:
A = {1, 2, 4}
B = {1, 2, 4, 5, 6}
C = {5, 6}
D = {2, 3, 6}
To determine if the events are exhaustive, we need to check if their union covers the entire sample space S.
The union of A, B, C, and D is {1, 2, 3, 4, 5, 6}, which covers the entire sample space S. Therefore, the events A, B, C, and D are exhaustive.

To determine if the events are mutually exclusive, we need to check if any outcomes are shared between the events.
The outcomes 1, 2, and 4 are shared between events A and B. Therefore, events A and B are not mutually exclusive.
The outcomes 2 and 6 are shared between events B and D. Therefore, events B and D are not mutually exclusive.
No outcomes are shared between events A and C, C and D, or A and D. Therefore, events A and C, C and D, and A and D are mutually exclusive.

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The given polynomial 4m^3 - 12m^2 - 160m can be factored as follows:

Step 1: Find the greatest common factor (GCF) of the coefficients. In this case, the GCF is 4.

Step 2: Factor out the GCF from each term:
4m^3 - 12m^2 - 160m = 4(m^3 - 3m^2 - 40m)

Step 3: Now, let's look at the expression inside the parentheses: m^3 - 3m^2 - 40m. This expression can be further factored by grouping.

Step 4: Group the first two terms and the last two terms separately:
(m^3 - 3m^2) - 40m

Step 5: Factor out the greatest common factor from each group:
m^2(m - 3) - 40m

Step 6: Now, we can factor out an 'm' from each group:
m(m^2 - 3m) - 40m

Step 7: Finally, factor out the common factor 'm':
m(m^2 - 3m - 40)

Therefore, the factored form of the given polynomial 4m^3 - 12m^2 - 160m is 4(m)(m^2 - 3m - 40).

Note: The polynomial is not prime as it can be factored.

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The pool's new size will be 10 by 5 centimetres, where 1 centimetre equals 5 metres.

An object can be resized by scaling. It can be to make the thing bigger or smaller.

assuming a rectangular pool with dimensions of 50 by 25 metres

Drawing the pool at scale, with 1 cm equaling 5 metres, as follows:

1 cm = 5m .... 1

For the length;

L = 50 m ..... 2

Divide expressions 1 and 2 together;

1/L = 5/50

5L = 50

L = 50/5

L = 10 cm

For the width:

Original width = 25 meters

Get the new width

1/W = 5/25

5W = 25

W = 25/5

W = 5 cm

This demonstrates that the pool's new size will be 10 cm by 5 cm.

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The complete question and image of rectangular pool attached below,

Answer:

the correct option is 75

Step-by-step explanation:

The standard notation for how to write tables is in the next way.

\(\left[\begin{array}{ccc}inpt&outpt\\x_1&y_1\\x_2&x_2\end{array}\right]\)

Where the input values are represented in the x-axis (the horizontal one) and the output values are on the y-axis (the vertical one).

In this case, we want to find the number of (x-value) for the height of 250.

Then we need to look at the vertical axis and find the value y = 250.

Now let's move to the right until you meet with the point.

Once you reach the point, move down to the axis, the value at which you intersect the axis is the x-value.

We can see that the point is on the middle of the x-values:

x = 70 and x = 80

Then the x-value of the point is x = 75

This means that the correct option is 75

Answer:

10

Step-by-step explanation:

To find the median in a set of data, organize the data from least to greatest.

Here, our data is the homework scores, those being:

10, 7, 8, 12, 9, 11, 13

Let's organize them in ascending order, like so:

7, 8, 9, 10, 11, 12, 13

The next step in finding the median is figuring out which number is in the middle. Since the amount of data we have is an odd number (7), there will be only one number in the middle.

We can find that the number in the middle is 10.

Thus, the median of the scores is 10.

Answer: 2d+3<=9

Step-by-step explanation:2 times a number is 2d plus 3 is +3 less than or equal to is <=

We can use labelling to solve the problem.

To solve this problem, you can follow these steps:

1. Choose one of the three boxes and take out a ball from it.

2. Check the color of the ball. Let's say it is red.

3. Since the labels on the boxes always lie, you can be sure that the box you chose does not contain only red balls. Therefore, it must either contain a mixture of red and blue balls, or only blue balls.

4. Since you know that one box contains only red balls, and you have already ruled out the possibility that the box you chose contains only red balls, you can conclude that the box you chose must contain only blue balls.

5. Therefore, you can correctly label the box you chose as "blue balls only".

6. You can then label the remaining two boxes as "red balls only" and "mixture of red and blue balls", since you know that one of the boxes contains only red balls, and the other must contain a mixture of red and blue balls.

Therefore, we used labelling to solve the problem.

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The given proposition is (p + q) v (p ^ T) v (T), where p and q are propositional variables, and T represents the truth value of true.

In a truth table, all possible combinations of truth values for p and q are considered to determine the truth value of the entire proposition. Since T represents true, the truth value of (p ^ T) is always true, and the truth value of (T) is also always true.

The truth table for the proposition is given

| p | q | (p + q) v (p ^ T) v (T) |

|---|---|------------------------|

| T | T |          T             |

| T | F |          T             |

| F | T |          T             |

| F | F |          T             |

As seen from the truth table, the proposition evaluates to true for all possible scenarios. Therefore, it is a tautology, meaning that it is always true regardless of the truth values of p and q.

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It will take them exactly 4hours 48 minutes.

Rate is a measure of a given quantity against a known or standard quantity.

Analysis:

If Tanya and Tim cleaned the house in 3 hours. Then either of them would clean the house in 2 x 3 = 6 hours.

If their 3 children cleaned the house in 6 hours, then each child would clean the house in = 3 x 6 = 18 hours

Total time for cleaning the house = 18 hours + 6 hours = 24 hours

If the five people were to do it at once then time taken to clean the house = 24/5 = 4.8 hours = 4 hours 48 minutes

In conclusion, the time for 5 people to clean the house is 4 hours 48 minutes

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Answer:

3 $10 coins and 5 $5 coins

Step-by-step explanation:

If cruz purchased a large pizza for $12.75. It serves 5 people, the cost per serving of the pizza is $2.55. So, correct option is A.

To find the cost per serving of the pizza, we need to divide the total cost of the pizza by the number of servings. In this case, the pizza costs $12.75 and serves 5 people.

Therefore, the cost per serving can be calculated as:

Cost per serving = Total cost of pizza / Number of servings

Cost per serving = $12.75 / 5

Cost per serving = $2.55

So, the cost per serving of the pizza is $2.55.

When working with fractions or dividing quantities, we need to pay attention to the units involved. In this case, the units of the cost and the servings must match for the division to be meaningful.

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Answer:

12

Step-by-step explanation:

x + 2x = 36

3x = 36

x = 36 ÷ 3

x = 12

12 + 24 = 36

Answer:

12

Step-by-step explanation:

x + 2x = 36

3x = 36

x = 36 ÷ 3

x = 12

12 + 24 = 36

Answer:14:28:98

Step-by-step explanation:

To divide a value by a ratio, we first find the total number of parts:

1+2+7 = 10

Then, we divide the value by the number of parts and multiply it by the number of parts in each section of the ratio:

140 divided by 10 = 14.

Part 1: 14 x 1 = 14

Part 2: 14 x 2 = 28

Part 3: 14 x 7 = 98

The circumference and area of the courtyard are:

Circumference = 301.44 m

Area = 7234.56 m²

a) Circumference = πd

Circumference = 3.14 × 96 m

Circumference = 301.44 m

Area = πr²

Area = 3.14 × (96/2)²

Area = 7234.56 m²

(b)The measure that would be used in finding the amount of gravel needed is the area. Because the amount of gravel depends on the area of the courtyard.

(c) The measure that would be used in finding the amount of pavement needed is the area. Because the pavement size depends on area of the courtyard.

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a) To find out how much L is needed to produce 400 toys per hour when K is equal to 20, we can use the production function formula provided, which is Q = 4K + 5L.

To solve for L, we can rearrange the formula as follows: Q - 4K = 5L 400 - 4(20) = 5L 320 = 5L L = 64

Therefore, to produce 400 toys per hour with K = 20, the manufacturer would need 64 units of labor input per hour.

b) Similarly, to find out how much K is needed to produce 500 toys per hour when L is equal to 40, we can use the production function formula: Q = 4K + 5L

Substituting the given values, we get: 500 = 4K + 5(40) 500 = 4K + 200 4K = 300 K = 75

Therefore, to produce 500 toys per hour with L = 40, the manufacturer would need 75 units of capital input per hour.

In conclusion, the production function formula provides a useful tool for toy manufacturers to produce a desired level of output. By manipulating the formula, the manufacturer can also calculate the maximum output possible given a certain combination of inputs.

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