2x + 5x = 3x + 16
Someone help. Can you help me figure out what x is and simplify this equation?​

Examining measures of dispersion about the mean is important because:
1. They provide information about the spread of the data.
2. They help in interpreting the overall distribution more accurately.
3. They assist in understanding the degree of variability in the data, which is crucial for making informed decisions.

The reason it's important to examine measures of dispersion about the mean is that these measures, such as variance and standard deviation, can provide valuable information about the spread of the data in the distribution. When there are extreme values, the mean might not accurately represent the center of the data.

In such cases, measures of dispersion help in understanding how the data is spread out, which in turn aids in better interpreting the overall distribution. These measures provide insights into the degree of variability in the data, which is crucial for making informed decisions based on the data set.

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Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months.Month2345Sales92491942004There are different forecasting techniques used by companies like Bryant Industries to predict future sales.

One of the most widely used methods is the time-series method. This method is particularly useful when the demand for a product or service changes over time and when there are no external factors that affect the sales. In this case, we can use a time-series method called the moving average to estimate future sales. The moving average is a time-series method that uses the average of past sales data to estimate future sales. It is particularly useful when there are no external factors that affect the sales. In this case, we can use a 3-month moving average to estimate future sales. The 3-month moving average is calculated as follows: (924 + 919 + 420) / 3 = 754.33. This means that we can expect sales of around 754 units next month. The moving average method is easy to use and is a good way to get a quick estimate of future sales. However, it has some limitations. For example, it does not take into account external factors that may affect sales, such as changes in the economy or in consumer behavior.

In conclusion, Bryant Industries can use the moving average method to estimate future sales. However, they should also consider other factors that may affect sales, such as changes in the economy or in consumer behavior. By doing so, they can make more accurate forecasts and improve their overall performance.

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By definition, direct variation takes the following form:

y=kx

Where k is the proportionality constant.

You can find k given the information in the problem:

7=3k

k=3/7

You can now find y when x=7 as follows:

y=(7*3)

Values can be substituted. Then:

y=(7*7)/3

y=49/3

If y varies directly from x, then the value of y = 49/3 when x = 7.

If y varies directly from x, we can write its relationship in the form of the equation below :

y = m*x

Where m is the slope of the line on the graph.

From the given data:

y=7

x=3,

We can substitute these values in the above equation and find m :

7 = m*3

m = 7/3

So, the equation can also be written as follow:

y = 7/3 x

Finding y when x=7, then substituting the x value in the above equation we get:

y = (7/3)*(7)

y = 49/3

Therefore the value of the y = 49/3.

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The dimensions of the corral of maximum area 80 x 160 feet

What is Area?

Area is a quantity that describes the extent of an area on a plane or curved surface. The area of ​​a planar region or planar region refers to the area of ​​a shape or planar layer, while surface area refers to the area of ​​an open surface or boundary of a three-dimensional object

Set each side perpendicular to the wall x

Parallel to the wall would be 320-2x

the area would be:

A(x) = x (320-2x)

A(x) = 320x-2x ^ 2

It is quadratic with a = -2 and b = 320

The largest area will happen when x = -b / 2a

= -320 / (- 2 * 2)

= 80 feet

so the width will be 80 feet and the length will be:

length = 320-2 * 80

           = 160 feet

Hence, The dimensions of the corral of maximum is 80 x 160 feet

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The standard form of the given polynomial is: 3x^3 - 3x^2 -4x - 4

A polynomial is a mathematical expression which consists of a variable with a power greater than one. Thus mathematical operations can be performed on a polynomial so as to simplify it in a required form.

In the question, we have an expression in the polynomial as:

(x-2)(3x^2+3x+2) = x(3x^2 + 3x + 2) - 2(3x^2 + 3x + 2)

                           = 3x^3 + 3x^2 + 2x - 6x^2 - 6x - 4

collect like terms to have

3x^3 + 3x^2 + 2x -6x^2 - 6x - 4 = 3x^3 - 3x^2 -4x - 4

The expression to the given polynomial in standard form is: 3x^3 - 3x^2 -4x - 4

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Answer:

The statement is false.

Step-by-step explanation:

Here we need to remember some things:

Integer numbers are closed under multiplication.

This means that for two integers a and b, the product a*b is also an integer.

A rational number is a number that can be written as the quotient of two integer numbers.

An irrational number is a number that can't be written as the quotient of two rational numbers.

Now let's see the statement:

"The product of two rational numbers is irrational."

The product of two rational numbers is written as:

\(\frac{a}{b} *\frac{c}{d}\)

Where a, c, b, and d are integers.

We can rewrite that product as:

\(\frac{a*c}{b*d}\)

Because of the first property, we know that a*c is an integer, and b*d is also an integer, so here we have a quotient of two integer numbers, so this is a rational number.

Then the product of two rational numbers is a rational number.

Then the statement is false.

Answer: 75th term

Step-by-step explanation:

If you look at the first terms, you can see that we're subtracting 12 from the previous term to get the number. Knowing this, we can write an expression for the nth term. The expression would be -12n + 20. Since this specific term has value of -880, we set -880 equal to the value of -12n+20. By setting your equation like this -12n + 20 = -880 and solving, you get n = 75, which means the 75th term has a value of -880.

Answer:

This is a statistical probability problem that requires the use of the normal distribution. We can use the normal approximation to estimate the number of passengers that actually show up for the flight.

Let X be the number of passengers that show up for the flight. Since there are 560 tickets sold and the probability of a passenger not showing up is 1%, we have that the expected value of X is E(X) = 560 * (1 - 0.01) = 554.4 and the variance of X is Var(X) = 560 * 0.01 * 0.99 = 5.544.

To calculate the probability that there are more passengers showing up for the flight than seats available, we need to calculate the probability that X is greater than 555.

Using the normal distribution, we can calculate this probability as follows:

Z = (555 - 554.4) / sqrt(5.544) = 0.436

Using a normal distribution table or calculator, we can find the probability that Z is greater than 0.436 as P(Z > 0.436) = 1 - P(Z < 0.436) = 1 - 0.6664 = 0.3336.

Therefore, the probability that there are more passengers showing up for the flight than seats available is approximately 0.3336.

To apply the continuity correction, we can adjust the value of 555 to 555.5.

Z = (555.5 - 554.4) / sqrt(5.544) = 0.710

Using a normal distribution table or calculator, we can find the probability that Z is greater than 0.710 as P(Z > 0.710) = 1 - P(Z < 0.710) = 1 - 0.7611 = 0.2389.

Therefore, the probability that there are more passengers showing up for the flight than seats available, with the continuity correction, is approximately 0.2389.

Step-by-step explanation:

The dimensions of the rectangle Michael should draw is given by: C. 4 units by 4 units.

A rectangle can be defined as a type of quadrilateral in which its opposite sides are equal and all the angles formed are right angle.

In this scenario, the rectangle would be drawn to touch the parallelogram at its four vertices (A, B, C, and D). Also, this would lie outside the parallelogram with the formation of four (4) right-angle triangles.

Therefore, the dimensions of the rectangle Michael should draw is given by:

Dimension = 4 × 4 units.

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Answer:

option C

Step-by-step explanation:

By examining a scatterplot, you can gain valuable insights into the relationship between the two quantitative variables x and y, such as direction, strength, form, and outliers.

From examining a scatterplot of two quantitative variables x and y, you can observe the following features about the relationship between the variables:

1. Direction: You can determine whether the relationship between the variables is positive (both variables tend to increase or decrease together) or negative (one variable tends to increase while the other tends to decrease).

2. Strength: You can assess the strength of the relationship by observing how closely the data points are clustered around an imaginary line (e.g., a straight or curved line). A strong relationship has points closely clustered, while a weak relationship has points more scattered.

3. Form: You can identify the form of the relationship, such as linear (points form a straight line) or nonlinear (points form a curve).

4. Outliers: You can detect any outliers, which are data points that do not follow the general pattern of the relationship between the variables.

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Answer:

Student Ticket: $8

Adult $28

Step-by-step explanation:

To find out the price of each ticket create 2 equations, then solve for x & y

x = student tickets

y = adult tickets

25x + 28y = 984

25x + 25y = 900

To do this first put x on one side of the equation

25x = 900 - 25y

x = 36 - y

Now substitute this equation in x for the first equation

25(36 - y) + 28y = 984

Now distribute 25 in 36 - y, 900 - 25y + 28y = 984

After this combine like term, then subtract 900 from each side, 3y = 84

Then divide 3 on each side, y = 28

Lastly substitute 28 for y in any equation to solve for x, x = 8

x & y are the price of each ticket

Answer:

250.8 is the answer

Answer:

it's b. y= \(y= e^{b}+3\) on edg2020

Transformed functions are functions that are modified by some transformation. In this question the transformation of y=\(e^x\) that is  y = \(e^x\)+ 3.

Therefore, the transformation of the given function y= \(e^x\) that is "y = \(e^x\) + 3".

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A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.

To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:

Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.

Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.

Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:

t = (sample mean - population mean) / (sample standard deviation / √(sample size))

Given:

Population mean (μ) = 93 minutes

Sample mean (\(\bar x\)) = 86.8 minutes

Sample standard deviation (s) = 14.6 minutes

Sample size (n) = 18

Significance level (α) = 0.10

Calculating the test statistic:

t = (86.8 - 93) / (14.6 / sqrt(18))

t = -6.2 / (14.6 / 4.24264)

t ≈ -2.677

The degrees of freedom for this test is n - 1 = 18 - 1 = 17.

Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.

Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.

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The true equation is m∠A + m∠B = 180°

What is an angle?

An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. Dihedral angles are these.

Here, we have

Given:  the dot indicates the center of the circle.

we have to find which equation is true.

"The angle formed by a diameter at the circumference is always a right angle (that is 90 degrees).

We concluded that the true equation is m∠A + m∠B = 180°

Hence, the true equation is m∠A + m∠B = 180°

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Step-by-step explanation:

the perimeter of a rectangle is

2×length + 2×width

so our inequalities are

2×length + 2×width <= 140 m

length + width <= 70 m

width <= 24 m

let's assume for a moment that width = 24.

and we get

length + 24 <= 70

length <= 46 m

or general

length <= 70 - width

with maximum width (24 m), length <= 46m

with a minimum width (e.g. 1 m), length <= 69

so, overall, 0 m < length < 70 m (I assume width = 0 or length = 0 are not valid).

Answer:

60 degrees.

Step-by-step explanation:

Each one of the four (spaces) are 90 degrees.

So 90-30 is 60

Hope this helps

Answer:

yo the answer is 60 degres

Step-by-step explanation:

he's right

Answer:

Yes, he is correct

Step-by-step explanation:

Represent Michael's home with M and his mother's with H

So, we have:

\(M = 12\ ft (below)\)

\(H = 12\ ft (above)\)

Required

Is Michael correct?

First, we get the numeric values of the given parameters.

Below sea level means negative:

So:

\(M = 12\ ft (below)\) will be rewritten as:

\(M = -12\)

Above sea level means positive:

So:

\(H = 12\ ft (above)\) will be rewritten as:

\(H = 12\)

Two numbers \(A\ and\ B\) are said to be opposite if \(A + B=0\)

For Michael to be correct:

\(M + H = 0\)

Substitute values for M and H

\(-12 + 12 = 0\)

\(0 = 0\)

Hence, Michael is correct

A function \(P(t) = 170.(1.30)^t\)  that gives the deer population P(t) on the reservation t years from now

We were told there were 170 stags on reservation. The number of deer is increasing at a rate of 30% per year.

We could see the deer population grow exponentially since each year there will be 30% more than last year.

Since we know that an exponential growth function is in form:

\(f(x) = a*(1+r)^x\)

where a= initial value, r= growth rate in decimal form.

It is given that a= 170 and r= 30%.    

Let us convert our given growth rate in decimal form.

\(30 percent = \frac{30}{100} = 0.30\)

Upon substituting our given values in exponential function form we will get,

    \(P(t) = 170.(1+0.30)^t\)

⇒ \(P(t)= 170.(1.30)^t\)

Therefore, the function \(P(t) = 170.(1.30)^t\) will give the deer population P(t) on the reservation t years from now.

Complete Question:

There are 170 deer on a reservation. The deer population is increasing at a rate of 30% per year. Write a function that gives the deer population P(t) on the reservation t years from now.

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Answer:

The answer would be C. An obtuse equilateral triangle :)

Answer:

I think the answer is x≥-3

Answer:

pg. 1

teresa: use difference of 2 squares

rico: 6561 is not a perfect square

pg. 2

i think teresa is right and that 6561 can be broken down

problem 1: (x^4-81)^2=(x^2-9)^4=(x-3)^8

problem 2: a. false b. rico

pg. 3

problem 3: a. -1(3x+5)^2 b. teresa is right because it cant still be a perfect square trinomial while having a negative first term.

problem 4: a. (y+3)^2 b. teresa

pg. 4

problem 5: a. (x^n+y^n)(x^n-y^n) b. teresa

teresa got more right, rico is buying pizza

Step-by-step explanation:

apex

3.3.6 Journal PDF answers :)

The missing statement for step 7 in this proof include the following: A.  ΔDGH ≅ ΔFEH.

In Mathematics and Geometry, a parallelogram is a geometrical figure (shape) and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.

Based on the information provided parallelogram DEGF, we can logically proof that line segment GH is congruent to line segment EH and line segment DH is congruent to line segment FH using some of this steps;

GH ≅ EH and DH ≅ FH

∠HGD ≅ ∠HEF  and ∠HDG ≅ ∠HFE

DG ≅ EF

ΔDGH ≅ ΔFEH (ASA criterion for congruence)

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Answer: a) y= 2,170,000(1+0.04)^10
b)  3,212,130 U.S. workers working at home.

Step-by-step explanation:

Step-by-step explanation:

initial amount: 2,170,000

rate of growth: 4%, or 0.04

time: 10 years

Using this information we can use the formula y=a(1+r)^t to figure out the answer.

After plugging in the amounts, we end up with the equation: 2,170,000(1+0.04)^10

Now, all that's left is to calculate. The final amount is 3,212,130

Answer:

86.6

Step-by-step explanation:

77+84+85+88+99=433

433/5=86.6

Answer:

2.5 OR 2 1/2

Step-by-step explanation:

77, 84, 85, 88, 99

5 numbers

5/2= 2.5

In this case, I will consider the relationship between a person's age and their income. I believe that income is more likely to have a higher standard deviation compared to age.

1. Economic Factors: Income is influenced by economic factors such as job market conditions, economic growth, and industry trends. These factors can fluctuate over time, leading to variations in income levels. On the other hand, age progresses in a more predictable manner.

2. Career Development: Income is strongly influenced by career development, including promotions, job changes, and salary negotiations. These factors introduce a level of unpredictability, as individuals may experience significant income changes at different stages of their careers. Age, although related to career progression, follows a relatively more predictable pattern.

3. Individual Choices: Income can also be influenced by individual choices such as entrepreneurship, investment decisions, and career changes. These choices introduce a higher level of variability as they depend on personal circumstances, risk appetite, and market conditions. Age, in contrast, progresses in a more linear and predictable manner.

Considering these reasons, it is reasonable to expect that income would have a higher standard deviation compared to age. Income is influenced by various external and personal factors that can result in significant fluctuations, making it less predictable compared to the relatively more stable progression of age.

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The expression that fails to compute the area of a triangle correctly is option b: (1 / 2) * b * h.

The correct formula to compute the area of a triangle is one-half times the base multiplied by the height, which can be written as (1/2) * b * h. Option a, c, and d correctly represent this formula. However, option b is incorrect because it uses integer division instead of decimal division.

In option b, (1 / 2) is computed using integer division, which results in truncating the decimal part. Therefore, (1 / 2) evaluates to 0 instead of 0.5. As a result, the expression (1 / 2) * b * h would yield incorrect and significantly smaller results than the actual area of the triangle.

To accurately calculate the area of a triangle using this formula, it is essential to use decimal division or explicitly represent the fraction as a decimal. Options a, c, and d correctly account for this by using either 1.0/2.0 or 0.5, ensuring the proper calculation of the area.

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The linear inequality will be c ≥ 9.25.

What precisely are linear inequalities?

Inequality is defined as a mathematical statement stating that neither side is equal. An inequality emerges when a connection creates a non-equal comparison between two expressions. In the statement, the inequality symbols greater than symbol (>), less than symbol (<), more than or equal to symbol (≥), less than or equal to symbol (≤), or not equal to symbol (≠) replace the equal sign "=".

The symbols '< and >' represent severe disparities, whereas " ≤ and ≥ " represent slack inequalities.

Now

The inequality that models the story is:

c ≥ 9.25

This is because Johnny plans to order at least 9.25 pounds of cheese.

There is no inequality in the story that relates to the amount of turkey meat that Johnny plans to order, but we know that he plans to order 8.5 pounds of turkey meat.

hence,

          The linear inequality will be c ≥ 9.25.

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