Which equation is true?

Answer:

the difference in height is 1435.5 feet

Answer:

The difference in heights is 1435.5 feet.

Step-by-step explanation:

If the Willis tower is 100x as tall as Leroy's house, its height would be 14.5 times 100, which is 14500. 14500-14.5 is 1435.5, which is the difference in heights.

Answer:

4 , 1 and 6

Step-by-step explanation:

now ur not in trouble :)

To solve this problem, we need to set up a system of equations based on the given information. Let's assume that the farmer needs x cubic yards of mix a and y cubic yards of mix b.

For phosphoric acid, the equation would be:
x * pounds of phosphoric acid in mix a + y * pounds of phosphoric acid in mix b = pounds of phosphoric acid required

For nitrogen, the equation would be:
x * pounds of nitrogen in mix a + y * pounds of nitrogen in mix b = pounds of nitrogen required

For potash, the equation would be:
x * pounds of potash in mix a + y * pounds of potash in mix b = pounds of potash required

We can solve this system of equations using substitution or elimination method. Once we find the values of x and y, we can calculate the total cost.

Since the question asks for the answer in more than 100 words, I'll provide an explanation for the solution process.

1. Set up the equations using the given information.
2. Solve the system of equations to find the values of x and y.
3. Substitute the values of x and y into the cost equation to find the total cost.

The solution to the problem is to blend x cubic yards of mix a and y cubic yards of mix b to meet the minimum monthly requirements at a minimum cost. The total cost can be calculated by substituting the values of x and y into the cost equation.

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p(x)= (x-4)²-(x-6)². ... 4X - 20 = 0 => X = 20/4 => X= 5.

1. Objective Function and Constraints:

Maximize 2x1 + 3x2 + 5x3 subject to x1 + x2 + x3 ≤ 1500, x1 + x2 ≤ 1100, x2 ≤ 800, x3 ≤ 400.

2. Using Excel Solver, find the optimal allocation of funds.

3. The maximum value of the objective function is reported by Excel Solver.

We have,

Objective Function and Constraints:

Let:

x1 = amount spent on food

x2 = amount spent on shelter

x3 = amount spent on entertainment

Objective Function:

Maximize: 2x1 + 3x2 + 5x3 (since each dollar spent on food has a satisfaction value of 2, each dollar spent on shelter has a satisfaction value of 3, and each dollar spent on entertainment has a satisfaction value of 5)

Constraints:

Subject to:

x1 + x2 + x3 ≤ $1,500 (maximum disposable income)

x1 + x2 ≤ $1,100 (amount spent on food and shelter combined must not exceed $1,100)

x2 ≤ $800 (amount spent on shelter alone must not exceed $800)

x3 ≤ $400 (entertainment cannot exceed $400)

Using Excel Solver:

In Excel, set up a spreadsheet with the following columns:

Column A: Variable names (x1, x2, x3)

Column B: Objective function coefficients (2, 3, 5)

Column C: Constraints coefficients (1, 1, 1) for the first constraint (maximum disposable income)

Column D: Constraints coefficients (1, 1, 0) for the second constraint (amount spent on food and shelter combined)

Column E: Constraints coefficients (0, 1, 0) for the third constraint (amount spent on shelter alone)

Column F: Constraints coefficients (0, 0, 1) for the fourth constraint (entertainment limit)

Column G: Right-hand side values ($1,500, $1,100, $800, $400)

Apply the Excel Solver tool with the objective function and constraints to find the optimal allocation of funds.

Once the Excel Solver completes, it will report the maximum value of the objective function, which represents the optimal satisfaction value achieved within the given budget constraints.

Thus,

Objective Function and Constraints: Maximize 2x1 + 3x2 + 5x3 subject to x1 + x2 + x3 ≤ 1500, x1 + x2 ≤ 1100, x2 ≤ 800, x3 ≤ 400.

Using Excel Solver, find the optimal allocation of funds.

The maximum value of the objective function is reported by Excel Solver.

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x= 0 y=8

or

x=1 y=9

given the equation of the line

Step 1

a) isolate y to obtain the slope intercept form

so

b) now, we can input values to obtain ordered pairs

hence

i) for x= 0 ( you can choose any value)

replace

to prove it, let's replace in the original equation :

ii) for x= 1

replace

to prove it, let's replace in the original equation :

so we have 2 solutions, the ordered pairs are

x= 0 y=8

or

x=1 y=9

I hope this helps you

Statement is true because the corresponding sides are congruent. The answer is: BA = LN.

What is Triangle?

A triangle is a closed, two-dimensional shape with three straight sides and three angles. It is one of the basic shapes in geometry and is used in many areas of mathematics, science, and engineering.

Since triangle ABC and triangle LMN have congruent corresponding sides, we know that they are similar triangles. This means that their corresponding angles are also congruent.

We are given that angle BAC is 58 degrees and angle MLN is 78 degrees. Since corresponding angles are congruent, this means that angle BAC is congruent to angle MLN.

Therefore, triangle ABC and triangle LMN are similar triangles with two pairs of corresponding congruent angles. This means that all corresponding sides are proportional.

Since AC = LN and BA = ML, we know that the ratio of the lengths of corresponding sides is:

AC / LN = BA / ML

Substituting the given values, we get:

1 = 1

This statement is true because the corresponding sides are congruent.

Therefore, the answer is: BA = LN.

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A shear transformation in R2 is a linear transformation that displaces points in a shape. It is represented by a 2x2 matrix that captures the effects of the transformation. In the case of vertical shear, the matrix will have a non-zero entry in the (1,2) position, indicating the vertical displacement along the y-axis. For the given matrix | 1 k |, | 0 1 |, where k represents the shearing factor, the presence of a non-zero entry in the (1,2) position confirms a vertical shear. This means that the points in the shape will be shifted vertically while preserving their horizontal positions. In contrast, if the non-zero entry were in the (2,1) position, it would indicate a horizontal shear. Shear transformations are useful in various applications, such as computer graphics and image processing, to deform and distort shapes while maintaining their overall structure.

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Answer:

The two lines intersect at (6, -4) which is the solution to this system of equations.

x = 6

y = -4

\(\left \{ {{-3x-9y = 18} \atop {4x+3y=12}} \right.\) can be rewritten as \(\left \{ {{y=-\frac{1}{3}x-2 } \atop {y=-\frac{4}{3}x+4 }} \right.\) to make graphing easier.

Answer:

(1, 2 )

Step-by-step explanation:

x + y = 3 (subtract x from both sides )

y = 3 - x → (1)

2x - y = 0 → (2)

Substitute y = 3 - x into (2)

2x - (3 - x) = 0

2x - 3 + x = 0

3x - 3 = 0 ( add 3 to both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Substitute x = 1 into (1)

y = 3 - 1 = 2

solution is (1, 2 )

Histogram. is a best choice to display the data.

A histogram is a type of graph that is used to represent the distribution of continuous or discrete data by dividing the data into intervals (bins) and counting the number of data points in each bin.

In a histogram, the bins are represented by bars, and the height of each bar represents the frequency or density of the data within the corresponding interval.

In the case of the salaries of professors, a histogram would be a good choice for displaying the distribution of the salaries because it provides a visual representation of the frequency of different salary ranges and helps to identify any patterns or anomalies in the data.

By dividing the salaries into appropriate intervals, the histogram allows you to see how many professors have salaries within a particular range, and to compare the frequency of different salary ranges.

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The 0.072 p-value indicates that the observed sample result is not very far from what could be expected if the null hypothesis were true, suggesting that the null hypothesis is not a bad fit for the observed sample result.

A p-value is a numerical measure of the evidence against the null hypothesis, which is the assumption that there is no relationship between the two variables being tested. In a hypothesis test, the p-value is calculated by taking the probability of the observed sample result given the null hypothesis is true, and comparing it to a predetermined significance level. The formula for calculating the p-value is P-value = Pr (Test Statistic ≥ Observed Statistic | H0 is true). If the p-value is less than the predetermined significance level, then there is evidence against the null hypothesis and therefore a rejection of the null hypothesis. In Sarah's case, the p-value of 0.072 is larger than the predetermined significance level, indicating that there is little evidence against the null hypothesis. The 0.072 p-value indicates that the observed sample result is not very far from what could be expected if the null hypothesis were true, suggesting that the null hypothesis is not a bad fit for the observed sample result.

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Answer: 60%

Step-by-step explanation:

6/10 = 60/100 = 60%

Answer: 60%

Step-by-step explanation:

6/10=60/100

Barbara's net pay for this pay period, after deducting taxes and

insurance

fees, should be $155.41.

To calculate Barbara's net pay, we need to subtract the total deductions from her gross pay.

First, let's calculate the FICA

tax deduction

. FICA tax is 6.2% of the gross pay. To find the FICA tax amount, we can multiply the gross pay by 6.2%:

FICA tax = $269.75 * 0.062 = $16.74

Next, let's calculate the

Medicare

tax deduction. Medicare tax is 1.45% of the gross pay. We can find the Medicare tax amount by multiplying the gross pay by 1.45%:

Medicare tax = $269.75 * 0.0145 = $3.91

Now, let's calculate the total federal and state withholding tax deductions. The

federal

withholding tax is $47.51, and the state withholding tax is $16.62:

Total withholding tax = $47.51 + $16.62 = $64.13

Next, let's calculate the total insurance deductions. The retirement insurance contribution is $9.00, the disability insurance fee is $2.56, the medical insurance fee is $12.00, and the dental insurance fee is $6.00:

Total insurance deductions = $9.00 + $2.56 + $12.00 + $6.00 = $29.56

Now, we can calculate the total deductions by adding up all the deductions:

Total deductions = FICA tax + Medicare tax + Total withholding tax + Total insurance deductions

Total deductions = $16.74 + $3.91 + $64.13 + $29.56 = $114.34

Finally, we can calculate Barbara's net pay by subtracting the total deductions from her gross pay:

Net pay =

Gross pay

- Total deductions

Net pay = $269.75 - $114.34 = $155.41

Therefore, Barbara's net pay for this pay period should be $155.41.

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Answer:

678

2

679

Step-by-step explanation:

Number of people: 5426

Capacity of table: 8

How many tables are full?

How many people are sitting at a table that is not full?

or

How many tables are needed for all 5,426 people?​

Answer:

y = -7

Step-by-step explanation:

If y = 10 when x = 20, then we can find the difference when we do y + 1 = x + 1, which is 11 = 21. Therefore, the difference between x and y is 10. So, we need to do 3-10, which gives us -7.

Apparently, there is a typing mistake in the statement of the question:

The length of each edge of a cube is x centimeters. If xis an integer, why is the volume of the cube not equal to 15 cm squared? show work please i want to understand:)​

The answer is:

Because the units of volume are cm^3, or m^3, not cm^2 nor m^2.

The measure of the volume is cm * cm * cm, meanwhile the area is cm * cm.

Student became unresponsive.

As AB is the perpendicular bisector of IK so we conclude that the right option is AJ=BJ.

A precise drawing in which a line is split in half by another line that is at a 90-degree angle to the original line is known as a perpendicular bisector. To divide into two equal portions is to bisect. When two lines intersect at a straight angle, they are perpendicular.

A line that precisely divides a line segment connecting two locations in half at a 90 degree angle is known as a perpendicular bisector. Finding the midpoint and negative reciprocal of two points, then entering these solutions into the equation for a line in slope-intercept form, will get the perpendicular bisector of the two points.

Option J can not be true as A can not be the midpoint of IK as A is not on IK.  Because J is on the IK as AB is the perpendicular bisector of IK, dividing or cutting it i,e IK into two equal segment parts. Hence, J is assumed as the midpoint of IK.

Option H i.e IJ = JK can not be true because AJ does not necessarily equal to BJ.

Option G i.e m∠IAJ  also does not true necessarily true. The reason is simple i.e AJ is arbitrary.

So, Option f i.e AJ = BJ is the correct Answer as AB is the perpendicular bisector of IK, dividing or cutting it i,e IK into two equal segment parts. So it can be assumed that that J is the midpoint as but it doesn't necessarily mean that IJ = JK, also it is true that perpendicular lines meet at 90 degree. Hence, statement F i.e AJ = BJ  is true.

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As AB is the perpendicular bisector of IK so we conclude that the right option is AJ=BJ.

What is perpendicular bisector?

A precise drawing in which a line is split in half by another line that is at a 90-degree angle to the original line is known as a perpendicular bisector. To divide into two equal portions is to bisect. When two lines intersect at a straight angle, they are perpendicular.

What is the perpendicular of two points?

A line that precisely divides a line segment connecting two locations in half at a 90 degree angle is known as a perpendicular bisector. Finding the midpoint and negative reciprocal of two points, then entering these solutions into the equation for a line in slope-intercept form, will get the perpendicular bisector of the two points.

Option J can not be true as A can not be the midpoint of IK as A is not on IK.  Because J is on the IK as AB is the perpendicular bisector of IK, dividing or cutting it i,e IK into two equal segment parts. Hence, J is assumed as the midpoint of IK.

Option H) i.e IJ = JK can not be true because AJ does not necessarily equal to BJ.

Option G)  i.e  m∠IAJ  also does not true necessarily true. The reason is simple i.e AJ is arbitrary.

So, Option f)  i.e AJ = BJ is the correct Answer as AB is the perpendicular bisector of IK, dividing or cutting it i,e IK into two equal segment parts. So it can be assumed that that J is the midpoint as but it doesn't necessarily mean that IJ = JK, also it is true that perpendicular lines meet at 90 degree. Hence, statement F i.e AJ = BJ  is true.

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just separate the ramge and domain

Answer:

No.

Step-by-step explanation:

Since 3x²y has an x² and -8xy² has a y², they are not like terms. Since they are different terms, you cannot add them together.

Answer:  d =7.81

if d² = 61   d = √61  =7.810249676

Rounding to 7.81 should be fine

Step-by-step explanation:

Equation y (1/8 x3 + 7) is rewritten by using a common factor. A literal equation is regarded as having at least two variables.

Given that,

Use a common factor to rewrite one eighth times x cubed times y plus seven eighths times x times y squared.

This is how the equation can be rewritten:

The first equation is written as 1/8 x3y + 7/8 xy2.

It is possible to rewrite the equation 1/8 xy(x2 + y) using the common factor.

Equation two:

1/4x.y.4x2 + 28y

1/4 .4 x³ .y + 28y

x3.y + 28y equation to be solved

Using the formula

y = (x3 + 28).

Third claim:

1/4. x. y. x2 + 7y

Fix the problem.

1/4 . x³ .y + 7y

Write y = (1/4x3 + 7) in a new way.

Fourth assertion:

1/8 x3y2.y + 7 x 1/8 x3y3 + 7 x

After removing the common element x(1/8 x2y3+ 7), rewrite the equation.

Fifth Declaration

1/8 x. y. x² + 7y

1/8 x³. y + 7y

Equation y (1/8 x3 + 7) is rewritten.

Thus, a literal equation is one that contains at least two variables. Solve for one variable in terms of the other variable to rephrase a literal equation.

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Step-by-step explanation:

what is the difference between the x- values ?

and what is the difference between the y- values ?

a transformation means a simple shift. so, addition of subtraction. no multiplication or such.

1 to -1 ? -2

-1 to -3 ? -2

5 to 3 ? -2

6 to 6 ? 0

3 to 3 ? 0

-2 to -2 ? 0

so, the transformation is (-2, 0)

Given statement solution :- Jaalan's Marbles has 57 marbles.

A limestone that takes a high polish and is used in architecture and sculpture. : something made from marble. especially : a piece of sculpture. : a little ball (as of glass) used in various games.

Let's denote the number of marbles Jaalan has as 'x'.

According to the given information, if Jaalan multiplies the number of marbles he has by 5 and then subtracts 10, he gets 275. We can write this as an equation:

5x - 10 = 275

To find the value of 'x,' we can solve this equation:

5x = 275 + 10

5x = 285

x = 285/5

x = 57

Therefore, Jaalan's Marbles has 57 marbles.

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Answer: x <- -8

x is less than negative eight.

Step-by-step explanation:

First, subtract 11 from both sides. Then divide both sides by 11. The arrow should be open and pointing to the left.

Answer:

x <- -8

Step-by-step explanation:

The average of the sample ranges for the weight of packages of Skittles is 0.11. So, the correct answer is (e) 0.11.

To find the average of the sample ranges for the weight of packages of Skittles, we first calculate the range for each sample. The range is the difference between the maximum and minimum values in each sample.

Sample 1: Range\(= 3.62 - 3.58 = 0.04\)

Sample 2: Range\(= 3.65 - 3.49 = 0.16\)

Sample 3: Range \(= 3.65 - 3.45 = 0.20\)

Sample 4: Range \(= 3.64 - 3.54 = 0.10\)

Sample 5: Range\(= 3.62 - 3.49 = 0.13\)

Next, we calculate the average of these sample ranges:

A\(verage = (0.04 + 0.16 + 0.20 + 0.10 + 0.13) / 5 = 0.11\)

Therefore, the average of the sample ranges for the weight of packages of Skittles is \(0.11\). So, the correct answer is (e) \(0.11.\)

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The equation of the given line is:

Slope intercept form is: y = -x + 6

Point slope form is: (y - 6) = -1(x - 0)

Standard form is: x + y = 6

The formula for the linear equation between two coordinates is:

(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)

The two coordinates are:

(0, 6) and (1, 5)

Thus:

(y - 6)/(x - 0) = (5 - 6)/(1 - 0)

This can be simplified as:

(y - 6) = -1(x - 0)

It can be further written as:

y - 6 = -x - 0

y = -x + 6

The formula for linear equation in standard form is:

Ax + By = C

Thus, we have: x + y = 6

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The value of x and y for given equation are (2,15) and (12,24).

Using hit and trial method, we can calculate that the values of given equation are (2,15) and (12,24)

The hit and trial approach is used to balance chemical equations by selecting the least whole number coefficient. tally the instances of each ingredient on either side of a reaction. The element with the lowest frequency of recurrence is considered to be balanced.

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