How do you graph 3 inequalities on a number line?

Answer: 2x+2

Step-by-step explanation:expand

Answer:

8 faces

Step-by-step explanation:

In geometry, the hexagonal prism is a prism with a hexagonal base. This polyhedron has 8 faces, 18 edges, and 12 vertices.

Hope this helps!

Answer:

5 2/3 inches.

Step-by-step explanation:

8-2=6 minutes and 5-3=2 inches so it lost 2 inches in 6 minutes. This means it loses an inch every three minutes. Since we have to go back by 2 minutes we will have to figure out how much length we have to add to the candle to figure out how long it was originally by multiplying by 2/3 as 2 inches is 2/3 the required to remove an inch, so 1 inch * 2/3 = 2/3 of an inch. Add that to the length at two minutes and we have 5 2/3 inches as its original size.

Step-by-step explanation:

He won't answer you.

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Answer:

B. All real numbers

Step-by-step explanation:

2(x + 1) = 2x + 2

Distribute the 2 inside the parenthesis.

2x + 2 = 2x + 2

Since the two expressions are equal and will stay equal with any value, the answer to this question is All real numbers.

Example:

2(x + 1) = 2x + 2

2(5 + 1) = 2(5) + 2

2(6) = 10 + 2

12 = 12

2(x + 1) = 2x + 2

2(150 + 1) = 2(150) + 2

2(151) = 300 + 2

302 = 302

The expression is equal for any value put in x.

Answer: $300

Step-by-step explanation:

To calculate the total revenue from selling oranges, we need to multiply the amount of oranges sold by the price per pound.

In this case, we sold 100 pounds of oranges at $3 per pound. So, the total revenue for that day is:

Total revenue = Amount of oranges sold × Price per pound

Total revenue = 100 pounds × $3

Total revenue = $300

Answer:

1) AD = 9 in

2) DE = 9.25 in

3) ∠EDC = 36°

4) ∠AEB = 108°

5) 11.5 in

Step-by-step explanation:

1) AD = BC = 9in

2) AC = BD (diagonals are equal)

⇒ BD = 14.25

⇒ BE + DE = 14.25

⇒ 5 + DE = 14.25

DE = 9.25

3) Since AB ║CD,

∠ABE = ∠EDC = 36°

4) ∠ABE = ∠BAE = 36°

Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)

⇒ 36 + 36 + ∠AEB = 180

∠AEB = 108

5) midsegment = (AB + CD)/2

= (8 + 15)/2

11.5

a) The average amount of time a customer spends in process at the campus deli is approximately 2 minutes, and b) the average number of skiers staying in Madesimo is 1,200 skiers.

a) The average amount of time that a customer spends in process can be determined using Little's formula. According to the formula, the work-in-process (WIP) is equal to the flow rate multiplied by the flow time. In this case, the flow rate is the number of customers served over the lunch period, which is 300. The WIP is the average number of customers in process at any point in time, which is 10. By rearranging the formula, we can solve for the flow time, which represents the average time a customer spends in process.

Thus, the flow time is equal to WIP divided by the flow rate. Therefore, the average amount of time that a customer spends in process is 10/300, or approximately 0.0333 hours (or 2 minutes).

b) To determine the average number of skiers staying in Madesimo, we can again apply Little's formula. The flow rate in this case is the average number of skiers coming to the resort per day, which is 120. The flow time represents the average duration of stay for skiers, which is given as 10 days. Using Little's formula, we can calculate the work-in-process (WIP), which represents the average number of skiers staying in Madesimo.

WIP is equal to the flow rate multiplied by the flow time. Therefore, the average number of skiers staying in Madesimo is 120 skiers/day multiplied by 10 days, resulting in 1,200 skiers on average.

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To find the rate at which the person's shadow is lengthening, we can use similar triangles and the concept of related rates.

Let's denote the length of the person's shadow as S and the distance between the person and the base of the streetlight as D. We are given that the person's height (H) is 6 ft, the rate at which the person is moving (dD/dt) is 4 ft/s, and the height of the streetlight (h) is 15 ft.

Using the similar triangles formed by the person, the shadow, and the streetlight, we have:

H / S = (H + h) / D

Now, differentiate both sides of the equation with respect to time (t):

(dH/dt) / S = (d(H + h)/dt) / D

We are interested in finding the rate at which the person's shadow is lengthening, which is represented by dS/dt. We can rearrange the equation to solve for dS/dt:

dS/dt = (d(H + h)/dt) / D * S

Substituting the given values, we have:

dS/dt = (0) / D * S

Since the height of the person (H) and the streetlight (h) are constant, their rates of change with respect to time are zero.

Therefore, the rate at which the person's shadow is lengthening, dS/dt, is equal to 0 ft/s. The length of the person's shadow remains constant as they walk away from the streetlight.

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Answer:

5 is the answer because 127.50 divided by 25.50 equal 5.

Answer: They sold 5 purses.

127.50 ÷ 25.50 = 5

Answer: B & D

Step-by-step explanation:

In this scenario we want to come out with a situation where both sides are in an even playing field, as the equation solves to zero.

If a diver is 35 feet below water (-35) and he comes up to breathe, he goes up 35ft (35) meaning he is at the surface (0).

If Manuel is in debt for 35$ (-35) and then he pays off the 35$ (+35) then he is even (at 0).

Answer:

A diver is 35 feet below the surface of the water and then comes up to the surface.

Answer:

Can't be answered, as written.

Step-by-step explanation:

Please check the equations.  As written, they are the same:

y=2x-4 and 6x-3y=12

The second, 6x-3y=12, can be rewritten:

-3y = -6x + 12

y = 2x - 4   is the same as the first equation.

========

I'll do an example based on a different first equation.  Let's try:

y = 4x-4 and 6x-3y=12

There are two equations and 2 unknowns.  We can solve this in either of two ways:  Mathematically and Graphically.  Let's try both.

Mathematically.

Pick either equation and isolate one of the variables (x or y)

I'll chose the first, since the variable y is already isolated.  (the efficient approach)

y = 4x-4

Take the second equation and use the definition of y provided by the first equation in place of y is the second:

6x-3y = 12

6x-3(4x-4) = 12  [Substituted the value of y given in the first equation]

6x - 12x + 12 = 12

-6x=0

  x= 0

Use x = 0 in either equation to find y:

y = 4x-4

y=4*(0)-4

y = -4

The solution (where the lines intersect) is (0,-4)

We can also solve this graphically.  

Plot the two lines and look for their intersection.  The attached graph shows that to be (0,-4).

Answer:

11/4

Step-by-step explanation:

reciprocal is flipping it

The weight of a puppy modeled by the equation 2x - y = 2 is represented by graph H.

The graph's intersection with the y-axis is known as the y-intercept. Finding the intercepts for any function with the formula y = f(x) is crucial when graphing the function. An intercept can be one of two different forms for a function. The x-intercept and the y-intercept are what they are. A function's intercept is the location on the axis where the function's graph crosses it.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. whereas there is a net change in the x coordinate, the y coordinate changes just little.

Given the modeled equation for puppy's growth is 2x - y = -2.

The standard equation of line is y = mx + c.

Converting the given model in standard form we have:

2x - y = -2

-y = - 2x - 2

y = 2x + 2

From the equation we see that the y-intercept is 2 and slope is 2.

The graph that has the y-intercept at 2 and slope of 2 is graph H.

Hence, the weight of a puppy modeled by the equation 2x - y = 2 is represented by graph H.

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Part 1: Kate should buy 100 coats to maximize profits.Part 2: The probability that the coats sell out is 0.25 (25%), and the probability that they do not sell out is 0.75 (75%).

To maximize profits, Kate should consider the scenario where she sells all the coats without any left over at the end of the season.

Since the sales are uniformly distributed between 100 and 400, buying 100 coats ensures that she meets the minimum expected sales of 100. Purchasing more than 100 coats would increase costs without a guarantee of higher sales, potentially leading to excess inventory and lower profits.

Given that the sales are uniformly distributed between 100 and 400 coats, Kate's purchase of 100 coats covers the minimum expected sales.

The probability of selling out can be calculated by finding the proportion of the range covered by the desired sales (100 out of 300). Therefore, the probability of selling out is 100/300 = 0.25 or 25%. The probability of not selling out is the complement, which is 1 - 0.25 = 0.75 or 75%.

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Answer:

\((x + 6) - 7 = 8\)

\(x + 6 - 7 = 8\)

\(x - 1 = 8\)

\(x = 8 + 1\)

\(x = 9\)

Answer:

-1/2

Step-by-step explanation:

let's look at the change from the red point to the blue point

thus, (x₁, y₁) = red point = (-4, 1) and (x₂, y₂) = blue point = (-2, 0)

note that (x₁, y₁) and (x₂, y₂) can be interchanged

slope = change in y / change in x = (y₂-y₁)/(x₂-x₁) = (0-1) / (-2-(-4)) = -1/2 as our slope

Answer:

the answer is below

Step-by-step explanation:

accidently made b to x

Answer:

A

Step-by-step explanation:

A reflection in the line y = -2 and then translation of 2 units right will create the same area so option (C) will be correct.

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

After that, we need to substitute the values of x's and y's into the coordinate geometry.

If we shift the triangle anywhere then there will be no change in the area but if we apply the scale factor then since the dimension changes so its area will also change.

In all options, there is a scale factor so it will change area but in option C

A reflection in the line y = -2 reflection gives a mirror image about y = -2 but no changes in area then translation of 2 units right will shift triangle 2 units right but no effect in the area.

Hence "A reflection in the line y = -2 and then translation of 2 units right will create the same area".

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The probability that a student who has an A is a male is 60%.

To find the probability that a student who has an A is a male, we need to calculate the ratio of the number of male students with an A to the total number of students with an A.

Given that there are 19 students in total, and 6 of them are female, we can determine that there are 19 - 6 = 13 male students. Out of these male students, 7 do not have an A. Therefore, the number of male students with an A is 13 - 7 = 6.

Now, we know that there are 10 students in total who have an A. Therefore, the probability that a student with an A is a male can be calculated as the ratio of the number of male students with an A to the total number of students with an A:

Probability = Number of male students with an A / Total number of students with an A

Probability = 6 / 10

Probability = 0.6 or 60%

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(a) For one unique solution, c cannot be equal to 0 or 2.

(b) For no solution, c must be equal to 0 or 2.

(c) For infinite many solutions, c can be any value except for 0 or 2.

To solve the linear system, we can use row operations to reduce the augmented matrix to the echelon form. This gives us:

(1) c 1 0 | x1

(2) 0 c-2 2 | x2

(3) 0 0 c-1 | x3-2x2

From this, we can see that the system has one unique solution if and only if the matrix is invertible, which occurs when c is not equal to 0 or 2. If c is equal to 0 or 2, then the matrix is not invertible, and the system has no solution.

If c is not equal to 0 or 2, then the matrix is in echelon form, and we can solve for x1, x2, and x3. In this case, the system has infinitely many solutions, as there is at least one free variable (x2 or x3, depending on the value of c).

Therefore, the values of c that lead to one unique solution are all real numbers except for 0 and 2, the values that lead to no solution are 0 and 2, and the values that lead to infinitely many solutions are all real numbers except for 0 and 2.

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Answer:

Step-by-step explanation:

(1/5)(x)+3=(1/2)(x)

3=(1/2)x-(1/5)x

3=(5/10)x-(2/10)x

3=(3/10)x

3=0.3x

30=3x

x=30/3

x=10

Assuming the same percentage rate of population growth from 2018 to 2024 as from 2000 to 2018, the world's population in 2024 would be approximately 9.23 billion.

To calculate this, we first need to find the annual percentage rate of growth from 2000 to 2018. We can do this using the formula:

\(Annual growth rate = (final population / initial population)^{1 / number of years} - 1\)

Plugging in the values, we get:

\(Annual growth rate = (7.504 billion / 6.081 billion)^{1 / 18} - 1\)

Annual growth rate = 1.20%

Now we can use this growth rate to estimate the population in 2024. To do this, we can use the formula:

Population in 2024 = 7.504 billion * (1 + annual growth rate)^(number of years from 2018 to 2024)

Plugging in the values, we get:

Population in 2024 = 7.504 billion * (1 + 0.0120)^(6)

Population in 2024 ≈ 9.23 billion

Therefore, if the world's population continues to increase at the same percentage rate from 2018 to 2024 as it did from 2000 to 2018, the world's population would have been approximately 9.23 billion in 2024.

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Answer:

You must get a 89%

Step-by-step explanation:

81+89=170

170/2= 85%

Answer:

The measure of angle B is 118°

180-62=118

Answer:

118°

Step-by-step explanation:

Angle b and 62° is on a straight line and supplementary, which means their sum is equal to 180°

180 - 62 = 118°

Answer:

2.1 hr

Step-by-step explanation:

[0.8 m × (100 cm)/(1 m)]/(38.2 cm/hr) = 2.1 hr

To express 2/3 and 3/4 as a pair of fractions with a common denominator, we can find the least common multiple (LCM) of the denominators and then adjust the numerators accordingly.

To begin, we need to find the least common multiple (LCM) of the denominators, which in this case is 12. Next, we convert 2/3 and 3/4 to fractions with a common denominator of 12.
For 2/3, we multiply both the numerator and denominator by 4 to get 8/12. Since 2 multiplied by 4 is 8, and 3 multiplied by 4 is 12.
For 3/4, we multiply both the numerator and denominator by 3 to get 9/12. Since 3 multiplied by 3 is 9, and 4 multiplied by 3 is 12.
Now, we have 8/12 and 9/12 as a pair of fractions with a common denominator of 12. These fractions can be compared or used in further calculations since they have the same denominator.

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To show that (x)^0 for all x in the interval of convergence, we need to select the correct answer option among (a), (b), and (c), which provide explanations for why (x)^0 holds true.

The correct answer is (a) "(x)^0 because of explanation here and 0 for all x." However, the explanation is missing from the given options, so we cannot determine the specific reasoning behind it. In general, any non-zero number raised to the power of 0 is equal to 1. Therefore, (x)^0 is equal to 1 for all x, regardless of the specific function or expression. This is a fundamental property of exponentiation and holds true for any valid value of x within the interval of convergence.

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The repeating decimal 0.8 as a geometric series 0.8 = 8/10 + (8/10)^2 + (8/10)^3 + ...

To express the repeating decimal 0.8 as a geometric series, we can start by observing the repeating pattern. In this case, the digit 8 repeats indefinitely. We can write 0.8 as follows:

0.8 = 0.8888...

To convert this into a geometric series, we need to identify a common ratio that will generate each subsequent term. In this case, the common ratio can be obtained by dividing the repeating digit by 10, which represents the shifting of the decimal point to the right. Thus, the common ratio is 8/10, which simplifies to 4/5.

Now we can express the repeating decimal 0.8 as a geometric series using the formula for an infinite geometric series:

0.8 = 8/10 + (8/10)^2 + (8/10)^3 + ...

In general, the nth term of the series is given by (8/10)^n. Since the repeating decimal has an infinite number of terms, we have successfully represented 0.8 as a geometric series.

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24 groups of participants would be needed to partially counterbalance a within-subjects experiment with three treatment conditions.

Given that;

How many groups of participants would be needed to partially counterbalance a within-subjects experiment with three treatment conditions.

Every participant in an experiment is exposed to every treatment or condition in a within-subject design, sometimes referred to as a repeated measures design.

The term "between-subjects design" is comparable to this within-subjects design. People are solely assigned to one treatment in a between-subjects design. As a result, one therapy would be given to one group of volunteers, while a different treatment would be given to another group. After that, the variations between the two groups would be contrasted.

24 groups would be required for a perfectly counterbalanced design for even four treatment conditions. This would obviously be impracticable because a large enough sample size would be required to conduct such an experiment.

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