​ 1 2 ( x + 6 ) = 2 x 2 1 ​ (x+6)=2x and 5 − 2 x = 7 x − h 5−2x=7x−h ​ What is the value of h ?

There are three ways to name an angle--by its vertex, by the three points of the angle (the middle point must be the vertex), or by a letter or number written within the opening of the angle.

You can name a specific angle by using the vertex point, and three points on each of the angle's rays or by letter or number written. The name of the angle is simply the three letters representing those points, with the vertex point listed in the middle. You can also name angles by looking at their size. Right angles are 90 degrees. Acute angles are less than 90 degrees. Obtuse angles are greater than 90 degrees, but less than 180 degrees, which is a straight angle, or a straight line.

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If I started a job on 08/21/2019 and graduated on 05/20/2022 , I have been working here for 1003 days while I was a student.

The correct answer is B. 1003 days.

To find the number of days you have been working at the job as a student, you need to subtract the start date from the end date.

First, convert the dates to a standard format:

Start date: 08/21/2019 = 2019-08-21

End date: 05/20/2022 = 2022-05-20

Next, subtract the start date from the end date:

2022-05-20 - 2019-08-21 = 2 years, 8 months, 29 days

Convert the years and months to days:

2 years = 730 days

8 months = 243 days

29 days = 29 days

Add the days together:

730 + 243 + 29 = 1002 days

Finally, add one day to account for the fact that the end date is included in the calculation:

1002 + 1 = 1003 days

Therefore, you have been working at the job as a student for 1003 days.

Answer: B. 1003

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The equation y = 3/4x describes the relationship

From the question, we have the following parameters that can be used in our computation:

The graph

The graph is a linear graph, and we have the following points on the graph

(x, y) = (0, 0) and (4, 3)

Because the line passes through the origin i.e. (0, 0), the equation that describes the relationship is then represented as

y = Y/X * x

Where

(X, Y) = (4, 3)

So, we have

y = 3/4x

Hence, the equation is y = 3/4x

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In short form we can write the word Cubicle as a word, Cube. However, both the words can be used for different purposes or having different interpretation.

Given, a word Cubicle

we have to write the given word in short form.

now to write any word in short form, we have to make its length or abbreviate the word.

As, the word is Cubicle.

Then, the word Cubicle can be written in as Cube in short form.

However, both the words can be used for different purposes or having different interpretation. Such as, Cube is used for a Particular shape or figure in Geometry i.e. the 3-D shape of the cube. Whereas, Cubicle is used for the small small cabins of the employees in the corporate offices.

Hence, the word Cubicle can be written in as Cube in short form, but may be with different meaning.

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Answer:

Is this what you need?

-8(4+7)=-88

-8(11)=-88

-88=-88

Answer:

We found the factors and prime factorization of 42 and 14. The biggest common factor number is the GCF number. So the greatest common factor 42 and 14 is 14.

Step-by-step explanation:

Greatest Common Factor of 42 and 14

Greatest common factor (GCF) of 42 and 14 is 14.

GCF(42,14) = 14

We will now calculate the prime factors of 42 and 14, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42 and 14.

GCF Calculator

Greatest Common Factor of

42

and

14

Calculate GCF

Prime Factorization of 42

Prime factors of 42 are 2, 3, 7. Prime factorization of 42 in exponential form is:

42 = 21 × 31 × 71

Prime Factorization of 14

Prime factors of 14 are 2, 7. Prime factorization of 14 in exponential form is:

14 = 21 × 71

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21

Factors of 14

List of positive integer factors of 14 that divides 42 without a remainder.

1, 2, 7

Greatest Common Factor

We found the factors and prime factorization of 42 and 14. The biggest common factor number is the GCF number.

So the greatest common factor 42 and 14 is 14.

Also check out the Least Common Multiple of 42 and 14

The correct answer for the greatest common factor  of 42, 4 and 14  is  2.

Find the greatest common factor (GCF) of 42, 4, and 14:

Determine the factors of each number and then identify the largest common factor they share.

Factors of 42:

2, 3, 6, 7, 14, 21.

Factors of 4:  

1, 2, 4.

Factors of 14:  

1, 2, 7, 14.

The common factors among these numbers are 1 and 2. The greatest common factor is the largest number that divides all three numbers, which in this case is 2.

The greatest common factor of 42, 4, and 14 is 2.

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Answer: its 41 dude

The profit of Aslam is Rs. 31,474.50 and the profit of Akram is Rs. 35,025.50.

To find the profit of each person, we can use the concept of ratios.

First, let's find the total investment made by both Aslam and Akram:
Total investment = Aslam's investment + Akram's investment
Total investment = 27000 + 30000 = 57000

Next, let's calculate the ratio of Aslam's investment to the total investment:
Aslam's ratio = Aslam's investment / Total investment
Aslam's ratio = 27000 / 57000 = 0.4737

Similarly, let's calculate the ratio of Akram's investment to the total investment:
Akram's ratio = Akram's investment / Total investment
Akram's ratio = 30000 / 57000 = 0.5263

Now, we can find the profit of each person using their respective ratios:
Profit of Aslam = Aslam's ratio * Total profit
Profit of Aslam = 0.4737 * 66500 = 31474.5

Profit of Akram = Akram's ratio * Total profit
Profit of Akram = 0.5263 * 66500 = 35025.5

Therefore, the profit of Aslam is Rs. 31,474.50 and the profit of Akram is Rs. 35,025.50.

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Answer:

-6, -7

Step-by-step explanation:

basically

-4 5/8 - x >0

so

x< -4 5/8

you just need 2 values less than -4 5/8

like -6 and -7

The  possible values of x could be x = -20 or  x = -10 that satisfy the inequality.

Given: -4 5/8 - x > 0

To find two possible values of x that make the expression -4 5/8 - x positive, set up an equation and solve for x.

First, let's convert -4 5/8 to an improper fraction.

The improper fraction equivalent of -4 5/8 is -37/8.

So, -37/8 - x > 0

To isolate x, move -37/8 to the other side of the inequality by adding it to both sides:

x < -37/8

Now, Two possible values of x could be:

x = -20 or  x = -10

Both of these values are less than -37/8, so they satisfy the inequality and make the expression -4 5/8 - x positive.

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Answer:

median=10

mode=8

mean=42,63

Answer:

Mean:7

Median:8

Mode:8

Mean: The sum of all observation divided by several observation

Median: it is the middlemost observation of data arraged in increasing or decreasing order of values

Mode: it is the value that accurs most frequently in a set of data

Hope it helps!!

The normal approximation for the distribution of (outcome - point spread is (np(1 - p)0.5

What is Normal Distribution?

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center of the range.

Reason:

The number of trials n in the binomial setting and the constant success probability p for each of these trials decide the proper normal distribution to choose. Our binomial variable has a mean of np and a standard deviation of (np(1 - p)0.5, which approximates a normal distribution.

It can be demonstrated using simple mathematics that there are a few circumstances in which we must apply a normal approximation to the binomial distribution. To ensure that both np and n(1 - p) are higher than or equal to 10, the number of observations n must be sufficient, as must the value of p. This is a generalization that is supported by statistical theory. The standard approximation can always be used, however it may not be a very accurate approximation if these requirements are not met.

The normal approximation for the distribution of (outcome - point spread is (np(1 - p)0.5

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Answer: (2,9)

Step-by-step explanation:

The point lies in the region that is shaded by both inequalities.

Translation of the Ax=0 solution set yields the Ax-b solution set since Ax-b is consistent. The Ax = b solution set is therefore a single vector if and only if the Ax = 0 solution set is a single vector, which occurs if and only if Ax 0 has only the trivial solution.

Finding the solution to an equation is like finding the solution to a puzzle. A mathematical equation proves the equality of two algebraic expressions. Determine the values of the variables that make the equation a true statement in order to solve an equation. An equation's solution is any value that causes the equation to be true.

given

Let's suppose that there is a solution to the equation ax = b.

Now, we want to demonstrate that the trivial solution exists for the equation ax = b when ax = 0.

Ax = 0 is homogeneous.

In the event that this equation was true for b, we define

To be a set of vectors with the form ax = b

w = m + gh

The subscript "h"

A solution to ax = 0 is gh.

Ax=b is in the form of w= m+gh based on the information we know had.

with

m = ax=solution b's

Soulution of gh = ax=0

Only a simple solution, ax = 0, exists.

gh = 0

where gh = 0

The relationship between ax=b and w=m

Ax = b thus has no alternative solutions.

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Answer:

Step-by-step explanation:

To find the value of variable, you have to isolate the term of b from one side of the equation.

First, you subtract by 1.5 from both sides.

→ b+1.5-1.5=6-1.5

Solve.

Subtract the numbers from left to right.

⇒ 6-1.5=4.5

⇒ b=4.5

I hope this helps you! Let me know if my answer is wrong or not.

To create a sphere, a cross-section would need to be revolved around the y-axis line (y = 1). Given the circle on a coordinate plane with the center at (0,0) and a radius of 2, the equation of the circle is x² + y² = 4.

This circle is perpendicular to the x-axis and the y-axis. A cross-section of this circle would be a semi-circle with its diameter as the x-axis. If this semi-circle is revolved around the y-axis, it would create a sphere of radius 2. The y-axis line (y = 1) passes through the center of the semi-circle and is perpendicular to the diameter of the semi-circle (which lies along the x-axis).

Therefore, this semi-circle needs to be revolved around the y-axis line (y = 1) to create a sphere.Hence, a cross-section would need to be revolved around the y-axis line (y = 1) to create a sphere.

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That's possible when function tends to zero

\(\\ \rm\hookrightarrow 0.25x^2-x+9.5=0\)

\(\\ \rm\hookrightarrow 1/4x^2-x+19/2=0\)

\(\\ \rm\hookrightarrow x^2-x+38=0\)

\(\\ \rm\hookrightarrow x=\dfrac{1\pm\sqrt{1-152}}{2}\)

\(\\ \rm\hookrightarrow x=\dfrac{1\pm\sqrt{151}i}{2}\)

Answer:

8.5 ft

Step-by-step explanation:

\(f(x) = 0.25x^2 - x + 9.5\)

To find the minimum point of the function, differentiate:

\(f'(x) = 0.5x - 1\)

set to zero and solve for x:

\(f'(x) =0\\ \implies0.5x - 1=0\\\implies x=2\)

Substitute found value of x into function to find y (height):

\(f(2) = 0.25(2)^2 - 2 + 9.5=8.5\)

Therefore, the lowest point on the bottom edge of the banner is 8.5 ft above the floor.

The topological space (X, T) is not a Hausdorff space. A topological space is called Hausdorff if for every distinct pair of points in the space, there exist open sets containing each point that are disjoint.

In other words, for any two points x and y in the space, there exist open sets U and V such that x is in U, y is in V, and U and V are disjoint.

In the given topological space (X, T), we have X = {m, n, p, q} and T = {0, X, {m, n, p}, {q}}. Let's consider the points m and q. There is no pair of open sets in T that contain m and q respectively and are disjoint. The only open sets containing m are X and {m, n, p}, but both of them also contain q. Hence, (X, T) does not satisfy the condition for being a Hausdorff space.

Therefore, the correct answer is 2. Not Hausdorff space.

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The student's score in standard units is 1.5. This means that the student's score is 1.5 standard deviations above the mean.

To find out the student's score in standard units, we can use the formula Z = (X - μ) / σ, where Z is the number of standard deviations from the mean, X is the student's score, μ is the mean, and σ is the standard deviation.

First, let's find the mean and standard deviation of the class's scores. The average score is 80 points, and the standard deviation is 8 points. Therefore,

μ = 80

and

σ = 8.

Next, let's find the student's score in standard units. The student got a 92 on the exam. Therefore,

X = 92.Z

= (X - μ) / σ

= (92 - 80) / 8

= 1.5

Therefore, the student's score in standard units is 1.5. This means that the student's score is 1.5 standard deviations above the mean.

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The confidence interval estimate for the mean weight of newborn girls at a 90% confidence level is 25.475 hg to 27.125 hg. The correct answer is D. No, because each confidence interval contains the mean of the other confidence interval.

To construct a confidence interval estimate of the mean weight of newborn girls, we can use the formula:

Confidence Interval = \(x ± (t * (s / √n))\)

Where:

x = sample mean

s = sample standard deviation

n = sample size

t = t-value corresponding to the desired confidence level and degrees of freedom (n-1)

For the first set of data with n = 219, x = 26.3 hg, and s = 7.4 hg, we need to find the t-value for a 90% confidence level with 218 degrees of freedom (n-1). Using a t-table or calculator, we find that the t-value is approximately 1.65.

Plugging in the values into the formula, we get:

Confidence Interval = \(26.3 ± (1.65 * (7.4 / √219))\)

Confidence Interval = \(26.3 ± (1.65 * 0.5)\)

Confidence Interval = \(26.3 ± 0.825\)

Confidence Interval = \((25.475, 27.125)\)

Therefore, the confidence interval estimate for the mean weight of newborn girls at a 90% confidence level is 25.475 hg to 27.125 hg.

Now let's compare this with the second set of data. The confidence interval for the second set is given as 24.1 hg to 27.5 hg with x = 25.8 hg and s = 3.2 hg, based on a smaller sample size of 12.

The two confidence intervals overlap, with the first interval (25.475 to 27.125) being fully contained within the second interval (24.1 to 27.5).

This means that there is no significant difference between the two intervals, and they are consistent with each other within the given confidence levels.

Therefore, the correct answer is D. No, because each confidence interval contains the mean of the other confidence interval.

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Answer:

square root of 81

Step-by-step explanation:

\( \sqrt{81} = 9\)

so 9 is rational number.

the rest are irrational number

Answer:

Step-by-step explanation:

x + 25 + 4x + 10 = 180

5x + 35 = 180

5x = 145

x = 29

<1 = 29 + 25 = 54

<2= 4(29) + 10 = 116 + 10 = 126

Answer: 18/9 if not it's something along that-

Step-by-step explanation:

7^2 = 49 so like 49-31 equals 18 and the denominator 3^2 = 9 , so if it's not 18/9 then it's like 1/2 or something bc 9 + 9 is 18 yk-

Step-by-step explanation:

B ANSWER OOOOOKKKKKKKKK

The focus of 76-inch diameter and the 42-inch deep reflecting telescope is located approximately 87.92 inches or 7.32 feet from the center of the mirror, at the prime focus.

The focus of a reflecting telescope's mirror is the point where incoming light rays converge after being reflected by the mirror. The location of the focus depends on the size and curvature of the mirror. In this case, the mirror has a diameter of 76 inches and a depth of 42 inches.

This information can be used to calculate the location of the focus, which is approximately 87.92 inches or 7.32 feet from the center of the mirror. This distance is also known as the prime focus and is the point where the image is formed. The eyepiece of the telescope, which magnifies the image formed at the prime focus, is typically located a short distance away from the prime focus, often around 0.90 inches.

The secondary mirror is positioned to reflect light from the prime focus to the eyepiece.

Complete question:

A reflecting telescope's mirror diameter is 76 inches and depth is 42 inches. Where would the focus of the mirror be located? Answer to the nearest hundredth.

Primary Mirror

Lighting

Prime Focus

Secondary Mirror

Eyepiece

O1.68 inches

O 87.92 inches

O 512.00 inches

O 8.60 inches

O 0.90 inches

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The Scale factor was used to enlarge the picture is 7/ 31.5.

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.

Given:

A picture is 7 inches wide and 9 inches long.

A photographer enlarges it so it is 31.5 inches wide and 40.5 inches long.

So, scale factor is

= Original dimension / Enlarged dimension

= 9/ 40.5

= 90/ 405

= 10/45

= 2/9

Now, simplifying the scale factor 7/31.5 because it has Nr < Dr.

= 7/ 3.15

= 70/31.5

= 2/9

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The theoretical probability is given by 1 over the number of hobbies.

If there is a total of 8 hobbies, the probability of a student having a specific hobby is:

The experimental probability is given by the number of students with that hobby over the total number of students. If 3 students have the hobby roller skating among the 24 students surveyed, the probability is:

Answer:

\(\boxed{0} < x < \boxed{4}\)

Step-by-step explanation:

The graph is y = x² - 4x

For  x² - 4x < 0 find out the interval of x
Factor x² - 4x ==> x(x - 4)

x² - 4x < 0 ==> x(x-4) < 0

Find the x-intercepts where x(x - 4) = 0

x(x - 4) = 0 means
x = 0 or x - 4 = 0
x - 4 = 0 ==> x = 4
These are critical points where the function changes sign

From the graph we see that the function has a value of 0 at x = 0 and x = 4 and is negative between 0 and 4

So the range of values for x where x² - 4x < 0 is

\(\boxed{0} < x < \boxed{4}\)

Hope that makes sense. If not, please ask questions

After approximately 84 minutes, the food will contain 9,600 bacteria based on the given growth rate.

The initial population is 150 bacteria, and this number doubles every 14 minutes. Therefore, the growth rate per unit of time is 2 (since it doubles) and the time period is 14 minutes.

The exponential growth equation for this scenario can be expressed as:

P(t) = P₀ * (2^(t/h))

Where:

P(t) is the population at time t

P₀ is the initial population

t is the time elapsed

h is the time period for the population to double (in this case, 14 minutes)

We want to find the value of t when the population reaches 9,600 bacteria, so we can set up the equation:

9600 = 150 * (2^(t/14))

To solve for t, we need to isolate the variable t. We can start by dividing both sides of the equation by 150:

9600/150 = 2^(t/14)

64 = 2^(t/14)

Next, we can take the logarithm (base 2) of both sides to solve for t:

log₂(64) = log₂(2^(t/14))

6 = (t/14)

Multiplying both sides by 14:

84 = t

After approximately 84 minutes, the food will contain 9,600 bacteria based on the given growth rate.

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The mental models can be expressed mathematically and can include both dependent and independent variables. By identifying these variables, one can create a more accurate and useful model that can be used to make predictions and explain phenomena.

One or more mental models that one has used can be expressed mathematically. A model can be defined as a representation of something that describes the various processes that are involved in it. In other words, a model is an abstraction of something real that can be used to make predictions or to explain phenomena. So, for example, if someone has a mental model of how a car engine works, they may have a simplified representation of the various parts and processes that are involved in making the engine run.

The variables in a mental model can be dependent and independent variables. The dependent variables are the variables that are being predicted, while the independent variables are the variables that are used to make the predictions. In other words, the dependent variable is what the model is trying to explain, while the independent variables are the inputs that the model uses to make those explanations.

For example, if someone has a mental model of how traffic flows on a busy highway, they may have a set of variables that they use to predict how traffic will behave. The dependent variable in this case would be traffic flow, while the independent variables might include the number of cars on the road, the speed of those cars, the distance between them, and the weather conditions.

Another example of a mental model that could be expressed mathematically might be a model of how people make decisions. In this case, the dependent variable might be the decision that a person makes, while the independent variables might include their emotions, their beliefs, and their past experiences.

In conclusion, mental models can be expressed mathematically and can include both dependent and independent variables. By identifying these variables, one can create a more accurate and useful model that can be used to make predictions and explain phenomena.

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Answer:

lim n-00 Σ (5i + 1)

Step-by-step explanation:

The correct answer is:

lim n-00 Σ (5i + 1)

The definite integral is the limit of a Riemann sum as the number of terms goes to infinity. In this case, the Riemann sum is a left Riemann sum with n terms. The left Riemann sum is given by :

Σ (5i + 1)

where i goes from 0 to n - 1. As n goes to infinity, the left Riemann sum converges to the definite integral.

The other choices are incorrect because they are not limits of Riemann sums.

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