5(a-6) in expanded form?

There is no difference between the Inverse Property of Addition and Additive Inverse.

Since the result of the addition of two numbers is zero, therefore they both are called additive inverses. This property is called the inverse property of addition. In other words, the inverse property of addition defines that if any number is added to its opposite number, the sum should be zero.

Answer:

Step-by-step explanation:

Image is attached, hope this helps!

The answers, rounded to the appropriate number of significant figures, are as follows:

(a) 1.088 ×\(10^2\)

(b) 2.132

(c) 1.3331 ×\(10^1\) and

(d) 1.05.

Let's calculate the answers to the given operations using the appropriate number of significant figures.

(a) 8.370×1.3×10

To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:

8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)

Since the original numbers have four significant figures, we round the final answer to four significant figures:

1.088 × \(10^2\)

(b) 4.265/2.0

For division, we divide the decimal numbers:

4.265 ÷ 2.0 = 2.1325

Since both numbers have four significant figures, the answer should be rounded to four significant figures:

2.132

(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))

To multiply these numbers, we multiply the decimal numbers and add the exponents:

(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)

Since the original numbers have five significant figures, we round the final answer to five significant figures:

1.3331 × \(10^1\)

(d) \((1.11)^(^1^/^2^)\)

To calculate the square root, we raise the number to the power of 1/2:

\((1.11)^(^1^/^2^)\)= 1.0524

Since the original number has three significant figures, the answer should be rounded to three significant figures:

1.05

It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.

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If Diego makes 10 sandwiches, he will have only 4 slices of cheese left over.

What is Linear equation ?
A linear equation is an algebraic equation in which the highest power of the variable(s) is 1. In other words, it is an equation that represents a straight line on a graph.

The general form of a linear equation with one variable is:

ax + b = 0

Explanation:
The number of slices of cheese Diego uses to make x sandwiches is equal to 2x (since he uses 2 slices of cheese for each sandwich). If he starts with a package of cheese that has 24 slices, then the number of slices of cheese remaining, y, after making x sandwiches is:

y = 24 - 2x

This equation shows that the number of slices of cheese remaining depends on the number of sandwiches Diego makes. As he makes more sandwiches, he will use more cheese and the number of slices of cheese remaining will decrease.
To clarify, the equation is:

y = 24 - 2x

where y represents the number of slices of cheese remaining, and x represents the number of sandwiches Diego makes.

For example, if Diego makes 5 sandwiches, then the number of slices of cheese he uses is 2 times 5, or 10. The number of slices of cheese remaining would be:

y = 24 - 2(5) = 24 - 10 = 14

So, if Diego makes 5 sandwiches, he will have 14 slices of cheese left over.

Similarly, if Diego makes 10 sandwiches, then the number of slices of cheese he uses is 2 times 10, or 20. The number of slices of cheese remaining would be:

y = 24 - 2(10) = 24 - 20 = 4

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Answer:

x= -6/7 y= 214/7

Step-by-step explanation:

First you have to single a value out so it would be y= or x=. The easiest would be the first equation and it would be y=28-3x.... Now that you have y, you can plug that into the second equation and get 24x+28-3x=10....this would equal -6/7 for x....make sure to simplify!! After that you can plug in x for the first equation and get y+ 3(-6/7)=28 and that would equal 214/7! All in all, x equals -6/7 and y equals 214/7

To find the time until the ball hits the ground, you need to solve the quadratic as the height equals zero.

0 = -16t^2+50t

This gives us a classing quadratic that you can factor or use the quadratic formula to solve.

x = 0, x = 25/8

If you graph this, think of y = 0 as the ground, so when the parabola intersects the x-axis on the right that represents how much time would have passed.

Hope this helps you out! Good luck with your homework! Stay safe and stay healthy.

It will take Aidan approximately 9.70 years to save enough to buy the $29,000 speed boat.

To calculate the time it will take for Aidan to save enough for the speed boat, we can use the formula for compound interest. The formula is given by:

\(Future Value = Present Value * (1 + interest rate)^{(number of periods)}\)

In this case, Aidan currently has $2,600 saved, and he saves an additional $205 per month. The future value (FV) is $29,000, and the interest rate (r) is 1.7% per year. We need to find the number of periods (t) in years. Rearranging the formula, we get:

t = log(FV / PV) / log(1 + r)

Plugging in the values, we have:

t = log((29000 - 2600) / 205) / log(1 + 0.017)

≈ 9.70 years

Therefore, it will take Aidan approximately 9.70 years to save enough to buy the $29,000 speed boat.

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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 order to determine whether the sample size of 81 people is adequate to compute a confidence interval for the percentage of U.S. adults who spend more than 20 hours a week on a home computer.

we must take into account the conditions for using normal approximation methods.For the normal approximation to be trustworthy, often both the sample size and the projected number of successes and failures need to be significant. A basic guideline is that both np and n(1-p) should be more than or equal to 5, when n is the sample size and p is the predicted proportion.We have 36 achievements in this case out of 81 people (those that use a computer for more than a.

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The total area of the shaded regions is 72 unit sq.

The area of a square can be calculated as the square of the sides of a given figure.

The area of a square = side x side

Given that square has an area of 196.

The region contains two overlapping squares that is the larger of these squares has an area 4 times that of the smaller and the area of their overlap is 1.

We can come up with equations as;

Since the area of their overlap is 1 then the side length is 1 unit.

Let the length of the smaller square is x.

The length of the larger square is 2x.

Therefore,

x + 2x - 1 = 3x - 1

Thus, 3x - 1 = 14

x = 5

The area of larger square = 100

The smaller one is 25

The area of shaded region;

196 - 124 = 72.

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The statement that is not true about a rational function of the form f(x) where g and h are polynomial functions is D. A rational function may have many horizontal asymptotes.

A rational function is defined as the ratio of two polynomial functions, where g and h are polynomials and h is not the zero polynomial. The graph of a rational function can have vertical asymptotes, which occur when the denominator of the function is equal to zero. However, a rational function can intersect a vertical asymptote if the numerator is also equal to zero at that point.

Regarding vertical asymptotes, statement A is true. The graph of a rational function will never intersect a vertical asymptote, as long as the function is defined at that point.

Statement B is also true. A rational function may have multiple vertical asymptotes if the denominator has multiple factors that result in the function being undefined at different points.

Statement C is also true. If the degrees of g and h are m and n, respectively, and m is less than or equal to n, then the rational function will have a horizontal asymptote with an equation of y = (a/b).

However, statement D is not true. A rational function can have at most one horizontal asymptote, and this occurs when the degree of g is equal to the degree of h. The equation of the horizontal asymptote is y = (a/b), where a is the leading coefficient of g and b is the leading coefficient of h.

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Answer:

where are the pictures???

Step-by-step explanation:

Answer:

Where are the answers?

Step-by-step explanation:

Answer: Normal distribution or Gaussian distribution.

Step-by-step explanation:

Normal distribution, this means that we will see something that remaind us to a Gaussian Bell (a curved shape that goes to zero in the extremes and has a maximum in the middle)

If we have some biased points in one side, suppose left, we will have a skewed distribution, that has some important differences with the normal distribution at the time of describe it mathematically.

The correlation between variables x and y is 0.50 . The true option is option (c) .

that's the regression coefficient is positive for given bivariata.

Correlation: Correlation is a statistical measure of how linearly two variables are related (meaning they change together at a constant rate). The

sample correlation coefficient r quantifies the strength of the relationship.

Correlation Coefficient: The Correlation Coefficient formula is used to examine the strength of the relationship between data. The formula returns a value between -1 and 1.

Here:

Pearson's correlation coefficient is denoted by "r" and is

r = (n∑xy - ∑x∑y )/√( n ∑x² - (∑x )² ) ( √ n∑y² - (∑y)²)

We have given that correlation between x and y is 0.50.

cor(x,y) = √r^2 => √r^2 = 0.50 => r ^2 = (0.50)^2

=> r^2 = 0.25 > 0 but less than 0.50 ---( 1)

Regression coefficient is the constant "b" in the regression equation that gives the change in the value of the dependent variable equal to the unit change in the independent variable.

Symbolically it can be expressed as:

bₓᵧ= r σ ₓ /σ ᵧ

where x and y are correlated

σ ₓ --> standard deviation of X

σᵧ ---> standard deviation of y

We know that standard deviations is square root value of variance of observations. we also know square root any quantity is always positive or zero.

Using the above fact about standard deviations and correlation coefficient (r) is also positive we see that bₓᵧ is postive.

Hence, Regression cofficient is positive.

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Using the box-whisker plot approach, it is computed that 50% of the data values are more than 45.

In a box-whisker plot, as seen in the illustration, The minimum, first quartile, median, third quartile, and maximum quartiles are shown by a rectangular box with two lines and a vertical mark. In descriptive statistics, it is employed.

Given the foregoing, the box-whisker plot depicts a specific collection of data. A vertical line next to the number 45 shows that it is the 50th percentile in this instance and that 45 is the median of the data.

It indicates that 50% of the values are higher than 45 and 50% of the values are higher than 45.

Using this technique, we can easily determine the proportion of data for which the value is higher or lower. Data analysis and result interpretation are aided by it. Therefore, 50% of values exceed 45.

Note: The correct question would be as

The box-and-whisker plot below represents some data sets. What percentage of the data values are greater than 45?

0

H

10

20

30 40

50 60

70 80 90 100

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Answer:

Step-by-step explanation:

New point would be (-8, 1) so the answer is none of the other answers are correct.

Answer: 26.67

Step-by-step explanation: multiply 20 and 4/3

Ratios are used to show how two quantities compare.

The number of crocodiles is 15, when the number of hippos is 20

The given parameter is:

\(\mathbf{Hippos:Crocodiles = 4 : 3}\)

From the question, we understand that the number of hippos is 20.

So, the ratio becomes

\(\mathbf{20 : Crocodiles = 4 : 3}\)

Express ratio as a fraction

\(\mathbf{\frac{Crocodiles}{20} = \frac{3}{4}}\)

Multiply both sides by 20

\(\mathbf{\frac{Crocodiles}{20} \times 20 = \frac{3}{4} \times 20}\)

Simplify the left-hand side

\(\mathbf{Crocodiles= \frac{3}{4} \times 20}\)

Multiply

\(\mathbf{Crocodiles= \frac{60}{4}}\)

Divide

\(\mathbf{Crocodiles= 15}\)

Hence, the number of crocodiles is 15

See attachment for the double number line that illustrates the number of crocodiles and hippos

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True. The correlation coefficient (r) must also be positive, indicating a strong positive linear relationship between the two variables.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where a value of -1 indicates a perfectly negative linear relationship, a value of 1 indicates a perfectly positive linear relationship, and a value of 0 indicates no linear relationship.  If the slope (b) of ŷ is positive, it means that as the independent variable increases, the dependent variable also increases.

In addition to the above explanation, it is important to note that while a positive slope (b) of ŷ indicates a positive linear relationship between two variables, it does not necessarily mean that the correlation coefficient (r) will always be positive. For example, if there is a weak positive linear relationship between two variables, the correlation coefficient (r) may still be positive but not as strong as if there was a strong positive linear relationship. Similarly, there may be situations where the correlation coefficient (r) is positive but the slope (b) of ŷ is not positive, such as in a curvilinear relationship where the relationship between the two variables is not linear.

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Answer:4/1

Step-by-step explanation:

rise is 4

run is one

Answer:

Square centimeters

Step-by-step explanation:

As the area of the picture is 300 cm², Square centimeters are the appropriate unit for measuring the area of the picture.

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Therefore , the solution of the given problem of expression comes out to be the simplified expression is 8n³ + 6n - 20.

There is a requirement for mathematical operations as addition, multiplication, and division. When combined, they produce the following: A mathematical operator, some data, and an expression. A statement of fact contains values, parameters, and mathematical operations including additions, subtractions, multiplications, and divisions. It is possible to contrast and compare various sentences and words.

Here,

Given :

2n² + 4n + 4

    x 4n - 5

    -----------

    8n³ - 10n² + 16n² - 20n + 16n - 20

    -----------

    8n³ + 6n - 20

Thus, the simplified expression is 8n³ + 6n - 20.

Therefore , the solution of the given problem of expression comes out to be the simplified expression is 8n³ + 6n - 20.

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It depends on the lengths of the sticks. If the lengths form a triangle, then three incongruent triangles can be formed.

1. First, check to see if the lengths of the sticks form a triangle. This can be done by comparing the lengths of the sticks to the Triangle Inequality Theorem, which states that the sum of any two sides of a triangle must be greater than the measure of the third side.

2. If the lengths of the sticks form a triangle, then three incongruent triangles can be formed by using the given sticks. To do this, take any three sides of the triangle and create three different triangles with those sides.

It depends on the lengths of the sticks. If the lengths form a triangle, then three incongruent triangles can be formed.

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Answer: The answer is 49.32

Step-by-step explanation:

The probability that the sum of the top two numbers will be 55, 77, or 99 is 1 / 18 for each sum.

To find the probability that the sum of the top two numbers will be 55, 77, or 99, we need to consider the possible combinations of numbers that can result in those sums. Let's break it down step by step:

1. Determine the total number of possible outcomes for each die:

  - The first die has 6 faces, so there are 6 possible outcomes.

  - The second die also has 6 faces, so there are 6 possible outcomes.

2. Calculate the number of favorable outcomes for each desired sum:

  - For a sum of 55, we can have (22, 33) or (33, 22). So, there are 2 favorable outcomes.

  - For a sum of 77, we can have (33, 44) or (44, 33). So, there are 2 favorable outcomes.

  - For a sum of 99, we can have (44, 55) or (55, 44). So, there are 2 favorable outcomes.

3. Calculate the total number of possible outcomes:

  - Since we have 6 possible outcomes for each die, the total number of possible outcomes is 6 * 6 = 36.

4. Calculate the probability:

  - The probability is given by the formula: favorable outcomes / total outcomes.

  - For a sum of 55, the probability is 2 / 36 = 1 / 18.

  - For a sum of 77, the probability is 2 / 36 = 1 / 18.

  - For a sum of 99, the probability is 2 / 36 = 1 / 18.

Therefore, the probability that the sum of the top two numbers will be 55, 77, or 99 is 1 / 18 for each sum.

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Answer:

What are the choices and what grade level going to 4th-12th

Step-by-step explanation:

The speed is the distance covered by an object at a particular time. It will take 1 and seven-tenths of the day to reach San Francisco.

The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.

Speed = Distance Covered / Time taken

Given that the speed during the entire journey is 60 miles per hour and you drive for 8 hours per day. Therefore, the distance that you can cover in a day is,

Distance covered in a day = Speed × Time

                                            = 60 miles per hour × 8 hours per day

                                            = 480 miles per day

Now, by road the distance between Washington, DC, and San Francisco, California is 812.5 miles. Therefore, the number of days it would take to reach San Francisco is,

Number of days

= Total Distance to be Covered / Distance covered in a day

= 812.5 miles / 480 miles per day

= 1.7 days

Hence, it will take 1 and seven-tenths of the day to reach San Francisco.

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Answer:

140 degrees

Step-by-step explanation:

All triangles sum of all 3 angles equal 180 degrees

we add 64 and 76 together

64+76

140

180-140

40 degrees is the third angle

To find the outdoor angle we subtract 180 from 40 since the angle is on the same flat line and a flat line is 180 degrees

180-40

140 degrees

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Answer: 40

Step-by-step explanation: 64+76=140 and 180-140=40

The solution of the system of equations is

x = -13/20 , y = 9/2 , z = 19/20

Given, a system of equations

x + 5y - 3z = 19

2x - 3y + 4z = -11

4x + y - 2z = 0

On multiplying eq (1) by 2, we get

2x + 10y - 6z = 38

On subtracting eq (1) and (2), we get

13y - 10z = 49 ... (4)

Now, On multiplying eq (2) by 2, we get

4x - 6y + 8z = -22

On subtracting eq (3) and (2), we get

7y - 10z = 22 ... (5)

Now, on subtracting eq (4) and (5), we get

6y = 27

y = 9/2

On substituting the value of y in Eq (5), we get

z = 19/20

Now, On substituting the value of y & z in Eq (1), we get

x + 5(9/2) - 3(19/20) = 19

x + 45/2 - 57/20 = 19

x + 393/20 = 19

x = -13/20

Hence, the solution of the system of equations is

x = -13/20 , y = 9/2 , z = 19/20

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Answer:

Step-by-step explanation:

Step-by-step explanation:

Familiarize yourself with perfect squares in the neighborhood of 140:

10^2 = 100

11^2 = 121

12^2 = 144

Note that 140 is much closer to the perfect square than it is to the perfect square 121.  The value of √140 must lie closer to 12 than to 11.

Place a point on the number line about 3/4 of the way from 11 to 12.

Answer:

The correct option is;

E) The average wait time to make payment and the number of cashiers working in a store

Step-by-step explanation:

An inversely proportional relationship is a relationship between two variables one where the increase in the magnitude one variable leads to the reduction in the magnitude of a second variable written mathematically as follows;

y ∝ 1/x

Therefore, given that as the number of cashiers at a store increases, the number of customers attended to per unit time by all the cashiers together increases, and the number of wait time observed by a customer to pay for the goods bought decreases.

Answer:

B.) The total number of stores visited and the average time spent in each store

E.) The average wait time to make a purchase and the number of cashiers working in a store

Step-by-step explanation:

It is correct I just took the test :)