Write the slope-intercept form of the equation of the line through the given points.
through: (2, -4) and (2,-5)

Answer:

the answer is

c = 4

and h = √2/10

The slope of the relationship is equal to; C. 4.

In Mathematics, the slope of any straight line can be calculated by using this mathematical expression;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

From the information provided above, we have the following data points on the line:

Substituting the given points into the slope formula, we have;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (-9 + 13)/(-1 - (-2))

Slope (m) = 4/1

Slope (m) = 4

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Answer:

see attached

Step-by-step explanation:

If on Wednesday evening sonto spent one ½ doing doing homework 45 minutes doing housework 1 hour visiting friends and 1 hour ½ watching television .This  information in a ratio is: 2: 3 : 4 :6.

We need to first analyze the details  before determining the ratio.

​1 hour = 60 minutes

1/2 h = 30 minutes

1 1/2 = 90 minutes

So,

30 : 45 = 60 :90

Reduce the above minutes  to ratio

2: 3 : 4 :6

Therefore the ratio of the information is 2: 3 : 4 :6.

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The probability that the mean number of raisins in the Happy Trail Mix is more than the mean number of raisins in the generic mix is 9.7%.

To solve this problem, we need to use the central limit theorem, which states that the distribution of the sample means approaches a normal distribution as the sample size increases. With a sample size of 17, we can approximate the distribution of the sample means as normal.

Let's call the mean of the Happy Trail Mix sample x and the mean of the generic mix sample y.

Using the formula for the mean of a normal distribution, we can find the mean of x and y:

μx = μ = 33.6

μy = μ = 28.8

Using the formula for the standard deviation of the sample mean, we can find the standard deviation of x and y:

σx = σ/√n = 8.4/√17 = 2.04

σy = σ/√n = 12.7/√17 = 3.08

Now that we have the mean and standard deviation of x and y, we can use a normal distribution calculator or a z-score table to find the probability that x > y.

The z-score is given by:

z = (x - y - μ)/σ = (33.6 - 28.8)/(√(2.04^2 + 3.08^2)) = 1.30

Using a standard normal table, we find that the probability of a z-score being greater than 1.30 is 0.097, or 9.7%.

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Answer: 17 m/s

Step-by-step explanation:  

Answer:

Sal previously earned $61640.

Answer:

$62,000.00

Step-by-step explanation:

x + .08x = 66960  Combine like terms

1.08 x = 66960  Divide both sides by 1.08

[tex]\frac{1.08x}{1.08}[/tex] = [tex]\frac{66960}{1.08}[/tex]

x = 62000

We can write the coordinates after reflection as -

A (x₁, y₁) → A" (x₁, - y₁)

B (x₂, y₂) → B" (x₂, - y₂)

C (x₃, y₃) → C" (x₃, - y₃)

Given is that to describe a sequence of transformation that maps triangle ΔABC onto triangle ΔA”B”C” a student starts with a reflection over x - axis.

Assume the coordinates of a triangle are -

A (x₁, y₁)

B (x₂, y₂)

C (x₃, y₃)

So after the reflection over the {x} axis, we can write the coordinates as -

A" (x₁, - y₁)

B" (x₂, - y₂)

C" (x₃, - y₃)

Therefore, we can write the coordinates after reflection as -

A (x₁, y₁) → A" (x₁, - y₁)

B (x₂, y₂) → B" (x₂, - y₂)

C (x₃, y₃) → C" (x₃, - y₃)

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Answer:

only one solution

Step-by-step explanation:

4x - 8 = 3x + 13

x = 21

Hey there!

Given:

[tex]4x-8=3x+13[/tex]

Solution(s):

One Solution; [tex]x=21[/tex]

Hope this helps!

Answer:

B. [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

imma human calculator and no one can stop me

Answer:

only one triangle can be formed ...

According to the given information in the question rounded to the nearest hundredth, the probability is 0.14.

Probability is a measure of how likely something is to occur. The probability is computed by dividing the total possible outcomes by the number of possible ways the event could occur.

Adding the probabilities together will yield the chance of a simple event occurring. Your total chances of acquiring something are 10% + 25% = 35%, for instance, if you have an 10% opportunity to win $10 and a 25 percentage chance of getting $20.

The probability of a student studied for exactly 5 hours can be calculated using the formula for probability of a discrete event:

P(X = 5) = (number of ways to get a 5) / (total number of outcomes)

From the data provided, we know that 5 students studied for 5 hours. And there were a total of 35 students surveyed. So the probability is:

P(X = 5) = 5/35 = 0.14

Rounded to the nearest hundredth, the probability is 0.14.

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Perimeter (P) = AB + BC + CD + DA.

The perimeter of a trapezoid is the sum of the lengths of each side of the trapezoid. A trapezoid is a quadrilateral that has two sides parallel to each other and two non-parallel sides termed as bases and legs respectively. Let us learn how to calculate the perimeter of the trapezoid in this article.

perimeter of the trapezoid=sum of 4 side

                                            =AB+BC+CD+DA

Perimeter (P) = AB + BC + CD + DA.

It can also be written as a sum of lengths of parallel sides and the sum of lengths of non-parallel sides where AB and CD are the parallel sides and AD and BC are the non-parallel sides.

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The required volume of the prism when area of cross section of the prism and the length of the prism are given is calculated to be 750 cm³.

Area of cross section of the prism = 30 cm²

Length of the prism = 25 cm

Volume of the prism = ?

A prism is a polyhedron consisting of an n-sided polygon base. The relation between volume, base area and height of the prism is mathematically given as,

V = B H

where, B is Base area

H is Height of prism

V = 30 × 25 = 750 cm³

Thus, the required volume of the prism when area of cross section of the prism and the length of the prism are given is calculated to be 750 cm³.

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No, that i not a ucce, the electric bill need to be  amount $1530 or le to be conidered a ucce.

To calculate the electric bill after the 11% decrease, simply multiply the current electric bill by 0.89, which is 1-11%. This will give you the new electric bill.

$1700 x 0.89 = $1530

Therefore, if the company's electric bill for next month is amount $1530 or less, then that would be considered a success.

The company must reduce their electric bill to $1530 or less in order to be considered successful in decreasing their energy usage by 11%.

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Answer: Infinite, or unsolvable

Step-by-step explanation:

6x + 12 = 2(3x+6)

6x + 12 = 6x + 12 <-- opening up the bracket

Because both sides of the equation are the same, the answer is either that there are an infinite amount of solutions for x, or that the equation is unsolvable.

One technique to write numbers such that you can see the mathematical significance of each individual digit is in expanded form or expanded notation. So the expanded form of (3x-5)³ is 27x³-135x²+225x-125.

One technique to write numbers such that you can see the mathematical significance of each individual digit is in expanded form or expanded notation.

It is also possible to create a mathematical expression using integers that have been divided into distinct place values and decimal places.

5,000 + 300 + 20 + 5 = 5,325 is the expanded notation for the number.

Expanded form of the given expression.

1) We can expand the given term by the direct formula of the algebra

(A-B)³ = A³-B³-3AB(A-B)2)

We have (3x-5)³on comparing with the formula:

A = 3x

B = 5

(3x-5)³

(3x)³-5³-3×3x×5(3x-5)

27x³-125-45x(3x-5)  27x³-125-135x²+225x

So the expanded form of (3x-5)³ is 27x³-135x²+225x-125.

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She could only solve 24 * 25 if the array has 24 rows and 25 columns or vice versa

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

Product expression = 24 * 25

An array is a set of items that has rows and columns

The array is not given

However, the true statement is that: for Rosie to evaluate the expression using an array, then the array must be a 24 x 25 array or 25 x 24 array

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All of the statements that are true include the following:

II. The hypothesis was supported with the results of the experiment.

III. It can be concluded that every time 8 wraps are added to the nail, the total number of paper clips lifted doubles.

Therefore, the correct answer option is: A. II and III only.

In Science, a hypothesis is primarily considered to be a tentative or an educated guess and it can be defined as a testable explanation for an observation, result, or a specific experimentation (scientific) problem, especially through the use of the "if . . . then . . . because" format.

Based on the information provided about this experiment, we can reasonably infer and logically deduce that the hypothesis developed about the steel nail is true because when eight (8) wraps of an insulated copper wire are added to the steel nail, the total number of paper clips that would be lifted is twice as many paper clips.

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Answer:

If you get 7 tokens a minute and you work for 9 hours, or 540 minutes, then you would have:

7 tokens/minute * 540 minutes = 3780 tokens

You would have 3780 tokens in total.

Answer:

3,780

Step-by-step explanation:

7* 540= 3780

because you get 7 every minute and there are 540 minutes

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Exercise can be beneficial for academic performance in a variety of ways.

Improved cardiovascular health, for example, can lead to improved blood flow to the brain, providing a better environment for learning and memory formation. Exercise can also improve mental health, reduce stress, and increase energy levels, helping to better prepare for tests and exams. Finally, exercise can help to improve concentration, focus, and overall cognitive function.

The formula for calculating the potential benefits of exercise on academic performance is:

Academic Performance = Exercise + Improved Cardiovascular Health + Mental Health + Stress Reduction + Energy + Concentration + Focus + Cognitive Function

By increasing the amount of exercise, the individual can increase their academic performance. This is done by improving cardiovascular health, mental health, stress levels, energy, concentration, focus, and cognitive function. All of these factors play a role in academic performance, and increasing any one of them can lead to an overall improvement in academic performance.

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Answer:

decimal form is limited of 3 numbers after the point only.

so it will be 1.45

I hope I help you in this ans and tq.

Answer: An inequality for the expected population, p, next year can be written using the information provided. Since the population is expected to grow between 5% and 8% per year, we can represent that as a range of growth rates: 0.05 <= growth rate <= 0.08

To find the expected population next year, we can use the formula:

p = population * (1 + growth rate)

where "population" is the current population of 50,000 and "growth rate" is the percentage increase. Since the growth rate is expected to be between 0.05 and 0.08, we can write the inequality as:

50,000 * (1 + 0.05) <= p <= 50,000 * (1 + 0.08)

This inequality represents the expected range of population next year, with the lower bound being the population if it grows by 5% and the upper bound being the population if it grows by 8%.

Simplifying the inequality:

52,500 <= p <= 54,000

So the expected population next year, p, is between 52,500 and 54,000.

Step-by-step explanation:

For the given case the Null hypothesis is The mean mpg of the 91 cars tested is equal to the manufacturer's mpg rating of 55.7 and the  Alternative hypothesis is The mean mpg of the 91 cars tested is less than the manufacturer's mpg rating of 55.7.

In order to determine whether the cars underperform the manufacturer's mpg rating, the independent testing firm would need to perform a hypothesis test. To do this, they would need to compare their sample mean of 55.2 mpg with the manufacturer's mpg rating of 55.7. They would also need to know the standard deviation of the sample, which is 3.24.

The independent testing firm would then calculate the z-score by subtracting the manufacturer's rating from the sample mean, and dividing it by the standard deviation. If the z-score is greater than the critical value for a 0.05 level of significance, then there is sufficient evidence to reject the null hypothesis.

In this case, the z-score is -1.51. Since the critical value for a 0.05 level of significance is 1.96, the z-score is less than the critical value. Therefore, there is not sufficient evidence to reject the null hypothesis, and we cannot conclude that the cars underperform the manufacturer's mpg rating.

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Answer:  D. percentages only for each line item.

Horizontal analysis, also known as trend analysis, is a method of financial statement analysis that compares line items over time by expressing them as a percentage of a base year. The base year is typically the most recent year, and the comparison is typically made to the prior year. In horizontal analysis, the increases and decreases are shown as percentages for each line item, so that the changes in the line items can be easily compared and analyzed. This is different from vertical analysis, which shows the line items as a percentage of a total, such as total assets or total revenue.

Step-by-step explanation:

Answer:

x=−3⋅−6+4=x=22

Step-by-step explanation:

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