2. Terry selected two cards. The sum of her cards is -10.
a. Can both cards be positive? Explain why or why not.
b. Can one of the cards be positive and the other be negative? Explain why or why not.
c. Can both cards be negative? Explain why or why not.

Answer:

Answer choices?

Step-by-step explanation:

The equation for the vertical line that goes through point M(−2, 6) is x = -2.

The equation of a straight line is:

y = mx + b;

y, x are variables, m is the slope of the line and b is the y intercept.

The slope of a vertical is undefined. Since the line passes through the point M(−2, 6), hence the equation of the vertical line is:

x = -2

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Answer: y=-3x+2

Step-by-step explanation:

Subtract 3x on both sides, y=-3x+2, that's the most you can do.  

Answer: B.) $275

Step-by-step explanation:

Rates charged by insurance company :

House Insurance 50 per $100

Contents Insurance 25 per $100

Value of House = $50,000

Insurance Fee:

$50,000 / $100 = 500

500, 50 cent payment,

50 cent × 500 = 25000 cent

Value of content = $10,000

Insurance Fee:

$10,000 / $100 = 100

100, 25 cent payment

25 cent × 100 = 2500 cent

Total insurance fee:

(25000 + 2500) cent

= 27500 cent

27,500 cent / 100

= $275

The required equation of the line is given as y =1/4x -17/4.

The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.

The slope of the line is given as,
m = (y₂ - y₁) /  (x₂ - x₁)
Substitute the value in the above equation,
m = -2 + 4 / 9 - 1

m = 2 / 8
m = 1/4
Since the slope of the parallel lines is equal,
The equation of the parallel is given as,
y - y₁ = m (x - x₁)

Substitute the point in the equation,
y + 3 = 1/4(x - 5)
y = 1/4x - 5/4 -3
y =1/4x -17/4

Thus, the required equation of the line is given as y =1/4x -17/4.

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Answer:

0.055

Step-by-step explanation:

You want to move the decimal from the % left two places.

Answer:

005

Step-by-step explanation:

The standard form of the given numbers is 207360 × 10¹⁷.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Given the numbers is  (5 x 1,000,000) (6 x 100,000) (4 x 10,000) (8 x 1,000) (3 x 100) (2 x 10) (4 x 0.1) (9 x 0.001)

Now standard form means we need to write the exponents form.

So,

5 x 6 x 4 x 8 x 3 x 2 x 4 x 9 = 207360

And

1,000,000 x  100000 x 10000 x 1000 x 100 x 10 x 0.1 x 0.001 = 10¹⁷

So, combine 207360 x  10¹⁷

Hence "The standard form of the given numbers is 207360 × 10¹⁷".

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The height of the cylinder is 5 m.

The surface area of a cylinder is \(28 \pi m^{2}\).

The total surface area of a cylinder is equal to the sum of the areas of all its faces. The total surface area with radius ‘r’, and height ‘h’ is equal to the sum of the curved area and circular areas of the cylinder.

Let's call the height of the cylinder "h". The surface area of a cylinder can be calculated as

Where r is the radius of the base.

Since the diameter of the base is 4 meters, the radius is 4/2 = 2 meters.

We know the surface area of the cylinder is \(28 \pi m^{2}\), so we can use this information to find h:

⇒\(28 \pi = 2 \pi(2)h + 2 \pi(2)^{2}\)

Expanding and simplifying the equation:

⇒28π = 4πh + 8π

Subtracting 8π from both sides:

⇒20π = 4πh

Dividing both sides by 4π:

⇒h = 5

Therefore, the height of the cylinder is 5 meters.

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The statement "in trend projection, a negative regression slope is mathematically impossible" is false.

In trend projection, a negative regression slope is mathematically possible. Trend projection, also known as linear regression, is a statistical technique used to forecast future values based on past trends. It assumes a linear relationship between the independent variable (time) and the dependent variable (the variable being forecasted).

The regression slope represents the direction and magnitude of the relationship between the variables. A positive slope indicates an upward trend, while a negative slope indicates a downward trend. Therefore, a negative regression slope is indeed possible in trend projection.

However, it's important to note that the validity of the trend projection depends on the underlying data and assumptions made. If the data and assumptions are not appropriate, the trend projection may not accurately represent the relationship between the variables.

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Answer:

They most of the time used the ability to row ships to get to places

Step-by-step explanation:

They were more reliable to row ships to trade with other people because the Mediterranean Sea was critical to how they were able to trade.

The triangles with the given side lengths are classified as follows:

The ordered side lengths of the triangles are given as follows:

a, b and c.

Considering these side lengths, the triangles are classified as follows:

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Answer:

2

Step-by-step explanation:

(1 + 1/2) ÷ (3/4)

= 3/2 ÷ 3/4

= 3/2 × 4/3

= 12/6

= 2

(0.75 × 2 = 1.5)

Answer:

2

Step-by-step explanation:

You can visualize the relationship, if any, between the number of sick days and the number of T-shirts owned by Jose over several years. This graphical representation can help identify any potential correlations or trends in the data.

To plot the data in a scatter plot, you will need to have two variables: the number of sick days and the number of T-shirts owned by Jose over several years. Each data point will represent a year in this case.

Here are the steps to create a scatter plot:

1. Prepare the data: Organize the data into pairs, with one value representing the number of sick days and the other representing the number of T-shirts owned for each year. For example:

  Year 1: Sick days = 3, T-shirts owned = 10
  Year 2: Sick days = 2, T-shirts owned = 12
  Year 3: Sick days = 4, T-shirts owned = 9
  Year 4: Sick days = 1, T-shirts owned = 14

2. Choose the axes: Decide which variable will be plotted on the x-axis and which one on the y-axis. In this case, you could choose to plot the number of sick days on the x-axis and the number of T-shirts owned on the y-axis.

3. Scale the axes: Determine the range and scale for each axis. For example, if the number of sick days ranges from 0 to 5 and the number of T-shirts owned ranges from 0 to 15, you can set the x-axis from 0 to 5 and the y-axis from 0 to 15.

4. Plot the data: For each year, locate the corresponding point on the graph using the values from the dataset. For example, for Year 1 (3 sick days, 10 T-shirts), plot a point at (3, 10) on the graph.

5. Connect the dots: Once all the points are plotted, you can visually connect them to observe any trends or patterns. Scatter plots do not typically have a line connecting the points, but you can draw a best-fit line or add regression analysis if you want to explore the relationship further.

By creating a scatter plot, you can visualize the relationship, if any, between the number of sick days and the number of T-shirts owned by Jose over several years. This graphical representation can help identify any potential correlations or trends in the data.

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Answer:

B; LR + TL = RT

Step-by-step explanation:

Here, we want to select the equation that clearly defines that L is between R and T

What this mean is that we have an entire length of RT and L is between these two points

This mean;

RT = RL + LT

Answer:

24 is correct answer

Step-by-step explanation:

its a 5:15 ratio, you are finding 8:x

8/5=1.6-> 1.6 x a5 = 24

Answer:

24 plates

Step-by-step explanation:

If she can wash 15 dishes in 5 minutes you just need to figure out how many dished she can washe in 1 minute. so you are gonna divide 15 by 5 and get 3 because 3 times 5 equals 15. so then that means she can wash 3 plates in 1 minute. so if she washed 15 in 5 in 6 minutes she can wash 18 and in 7 minutes she can wash 21 and in 8 minutes she can wash 24. Your just adding 3 to the 15 for every minute.

The maximum value of the objective function is 4 at the vertex (4, 0), and the minimum value is -8 at the vertex (0, -4). The optimal solutions for the given LP problem are Maximum: p = 4 at x = 4 and y = 0 and Minimum: p = -8 at x = 0 and y = -4.

Maximize and minimize p = x + 2y

subject to:

x + y ≥ 4

x + y ≤ 10

x - y ≤ 4

x - y ≥ -4

First, let's graph the feasible region defined by the given constraints:

Plotting the lines:

x + y = 4 (solid line)

x + y = 10 (solid line)

x - y = 4 (solid line)

x - y = -4 (solid line)

The feasible region is the area that satisfies all the constraints and is bounded by the lines on the graph.

Upon examining the feasible region, we can observe that it is a bounded region.

To find the optimal solution, we need to evaluate the objective function p = x + 2y at the vertices (corner points) of the feasible region.

Now, let's find the vertices of the feasible region by solving the intersection points of the lines:

1. Intersection of x + y = 4 and x + y = 10:

Subtracting the equations, we get 0 = 6, which is not possible. No intersection point exists for these lines.

2. Intersection of x + y = 4 and x - y = 4:

Adding the equations, we get 2x = 8, x = 4. Substituting x = 4 into x + y = 4, we get 4 + y = 4, y = 0. The first vertex is (4, 0).

3. Intersection of x - y = 4 and x - y = -4:

Adding the equations, we get 2x = 0, x = 0. Substituting x = 0 into x - y = 4, we get -y = 4, y = -4. The second vertex is (0, -4).

Now, we evaluate the objective function at each vertex:

p(4, 0) = 4 + 2(0) = 4

p(0, -4) = 0 + 2(-4) = -8

The maximum value of the objective function is 4 at the vertex (4, 0), and the minimum value is -8 at the vertex (0, -4).

Therefore, the optimal solutions for the given LP problem are Maximum: p = 4 at x = 4 and y = 0 and Minimum: p = -8 at x = 0 and y = -4.

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Answer: 3 cups of flour

Step-by-step explanation:

Answer:

the slope is 3/2 or 1.5 they are the same

Step-by-step explanation:

The break-even point for the Glide 5 hoverboard is approximately 630.56 units.

The break-even point for the Glide 5 hoverboard can be determined by finding the point at which the cost equals the revenue.

The cost equation is given as y = 44.77x + 38619, where y represents the cost and x represents the number of Glide 5 hoverboards manufactured.

The revenue equation is given as y = 106.07x, where y represents the revenue.

To find the break-even point, we set the cost equal to the revenue:

44.77x + 38619 = 106.07x

Subtracting 44.77x from both sides gives:

38619 = 61.3x

Dividing both sides by 61.3 gives:

x = 630.56

Therefore, the break-even point for the Glide 5 hoverboard is approximately 630.56 units. At this point, the revenue generated from selling the hoverboards will be equal to the cost of manufacturing them.

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Answer:

1 : 50000

Step-by-step explanation:

On the map, the two cell towers are 6 centimeters away from each other.

In real life, the two cell towers are 3 kilometers away from each other.

To find the scale of the map, we have to find the ratio of the distance between to two cell towers on the map and in real life.

Let us put both distance in the same unit, centimeters:

1 kilometer  = 100000 centimeters

3 kilometers = 3 * 100000 centimeters = 300000 centimeters

Therefore, the ratio of both distances is:

6 : 300000

In lowest terms:

1 : 50000

That is the scale of the map.

Answer:

x=15

Step-by-step explanation:

Answer:

x = 50° and y = 80°

Step-by-step explanation:

x + 130° = 180° { being linear pair }

x = 180° - 130°

x = 50°

And we can see in the triangle two sides are equal so it is an isosceles triangle so the base angles are also equal.

Then

y + 50° + 50° = 180° { being sum of angles of triangle }

y + 100° = 180°

y = 180° - 100°

y = 80°

Hope it will help :)❤

The value below which there is only a 5% chance that the average weight of the sample of five of the chocolate bars will be below is approximately 7.9605 ounces.

Given that the distribution of actual weights of 8-ounce chocolate bars produced by a certain machine is normal.

The mean μ = 8.1 ounces and standard deviation σ = 0.1 ounces.

A sample of five of these chocolate bars is selected, and we need to find the value below which there is only a 5% chance that the average weight of the sample of five of the chocolate bars will be below.

This can be done by using the following formula:

z = (x - μ) / (σ / \(\sqrt\)(n))

Where, z is the standard normal variable, x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Since the sample size is less than 30, we will use the t-distribution instead of the z-distribution. The formula for the t-distribution is:

t = (x - μ) / (s / \(\sqrt\)(n))

Where, t is the t-variable, x is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.

Here, we need to find the value of x such that the probability of the sample mean being less than x is 5%. This can be done by finding the t-value for the 5th percentile with 4 degrees of freedom (n-1 = 5-1 = 4) using a t-table or a calculator. We get:

t = -2.776445

The formula can be rearranged to solve for x:

x = μ + t * (s / \(\sqrt\)(n))

Substituting the given values, we get:

x = 8.1 + (-2.776445) * (0.1 / \(\sqrt\)(5))x ≈ 7.9605

Therefore, the value below which there is only a 5% chance that the average weight of the sample of five of the chocolate bars will be below is approximately 7.9605 ounces.

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Answer:

d.13 the measure of eg that's the answer

The consumption next year for Ms. Anderson will be approximately $56,363.64 which is not in options, and the debt-equity ratio, based on a total debt ratio of 0.5, so the answer is option d.

To answer the first question, we need to calculate the consumption next year based on the given information. We can use the concept of present value to determine the amount.

The present value formula is:

Present Value = Future Value / (1 + Interest Rate)^n

Where:

Future Value is the amount to be received in the future

Interest Rate is the rate of return or interest rate per period

n is the number of periods

Given that Ms. Anderson has an income of $40,000 next year and the market interest rate is 10 percent, we can calculate the present value of $40,000:

Present Value = $40,000 / (1 + 0.10)^1

Present Value = $40,000 / 1.10

Present Value ≈ $36,363.64

Since Ms. Anderson consumes $80,000 this year and her present income next year is approximately $36,363.64, her consumption next year will be the sum of her present income and the remaining amount:

Consumption next year = Present income + Remaining amount

Consumption next year = $36,363.64 + ($80,000 - $60,000)

Consumption next year = $36,363.64 + $20,000

Consumption next year = $56,363.64

Therefore, the consumption next year will be approximately $56,363.64. None of the provided options match this amount, so it seems there might be an error in the answer choices.

Given that the total debt ratio is 0.5, it implies that the total debt is half of the total equity.

The debt-equity ratio is calculated by dividing the total debt by the total equity:

Debt-Equity Ratio = Total Debt / Total Equity

Substituting the given information, we have:

Debt-Equity Ratio = 0.5 * Total Equity / Total Equity

The term "Total Equity" cancels out, resulting in:

Debt-Equity Ratio = 0.5

Therefore, the correct answer is option d. 0.5.

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Answer:

its 7m 2

Step-by-step explanation:

A congruent polygon refers to two or more polygons that have the same shape and size. There must be an equal number of sides between two polygons for them to be congruent.

Congruent polygons have parallel sides of equal length and parallel angles of similar magnitude. When two polygons are congruent, they can be superimposed on one another using translations, rotations, and reflections without affecting their appearance or dimensions. Concluding about the matching sides, shapes, angles, and other geometric properties of congruent polygons allows us to draw conclusions about them.

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The equation of the relation is y = 3/2x.

   x    |   y    

   0       0

   2       3

   4       6

To write the equation for the proportional relationship between two variables, x and y, find the unit rate, k, which is k = y/x.

Substitute the value of k into y = kx to write the equation of the relationship.

Using a point on the line, (2, 3):

k = y/x = 3/2

Substitute k = 3/2 into y = kx:

y = 3/2x

Using the equation, substitute each of the values of x in the table to get the corresponding value of y:

For 0:

y = 3/2(0)

y = o

For 2:

y = 3/2(2)

y = 3

For 4:

y = 3/2(4)

y = 6

The table is:

   x    |   y    

   0       0

   2       3

   4       6

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