3. A vertical line has a slope of zero. Is this a true statement? Explain in three to five sentences, If false,
provide a corrected statement.

Answer:

The points present in the first quadrant are of the form (a, b) where a, b>0.

Step-by-step explanation:

The points present in the first quadrant are of the form (a, b) where a, b>0.

In the first quadrant both the abscissa and ordinate are positive.

In the second quadrant the abscissa is negative and ordinate is positive.

In the third quadrant both the abscissa and ordinate are negative.

In the forth quadrant both the abscissa is positive and ordinate are negative.

The examples of points in the first quadrant are (1,0), (2,3), (11,4) and many other.

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Answer: The y-coordinates in the first quadrant are positive. because y represents the profit made, positive y values signify profit. The points in quadrant I represent the baseball team making a profit.

Step-by-step explanation: Source - I took the test.

A formula that can be used to find the area of one triangular section of the door is; (1/2) * Area 0f rectangle

From the attachment, we can say let us;

Denote the Length as L

The width as w.

Area of a triangle is given by the formula;

A = 1/2 * base * height

The area of the rectangle is:

A = Length * Width

From the attachment, we can see that the rectangle is divided into two equal triangular sections.

This implies that, the area of one of the triangular sections is half the area of the rectangle. Thus;

Area of Triangle = (1/2) * Area 0f rectangle

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Answer:

choice 1)  An hour is 3600 times as long as a second

Step-by-step explanation:

60 x 60 = 3600

Answer:

It is choice 1

Step-by-step explanation:

60×60= 3,600

The name of the angles are;

a. <1 and <8 = Corresponding angles

b.<1 and <7 = Same side exterior corresponding angles

c. <4 and <8 = Same side exterior corresponding angles

d. <4 and <5 = Alternate angles

e. <4 and <2 = Supplementary angles

f.  <4 and <1 = Corresponding angles

To determine the name of the angles, we need to know the following;

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It is true that in regression analysis, the variable being predicted (dependent variable) is commonly denoted by "y" and the predictor variable(s) (independent variable(s)) is denoted by "x".

Regression analysis is a statistical method used to investigate and model the relationship between a dependent variable and one or more independent variables. The dependent variable is the variable of interest, whose behavior we want to explain or predict. This variable is commonly denoted by "y" and is also known as the response variable or outcome variable.

On the other hand, independent variables are those that are hypothesized to influence the behavior of the dependent variable. They are commonly denoted by "x" and are also known as predictor variables, explanatory variables, or covariates. The relationship between the independent and dependent variables is typically modeled using a linear or non-linear function, which is estimated using regression analysis.

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The total amount of water deposited at the research site whenever an inch of rainfall occurs is 14400 cubic inches.

The first thing to do is to determine the volume of water deposited per square foot of surface area with 1 inch of rainfall.

This is given as 144 cubic inches (0.623 gallons).

To find the total amount of water that will be deposited at the research site whenever an inch of rainfall occurs, the surface area must first be determined.

All research sites are 100 square feet in area.

Now, multiply the volume of water deposited per square foot of surface area with 1 inch of rainfall by the surface area to obtain the total amount of water deposited at the research site with 1 inch of rainfall.

Volume of water deposited per square foot of surface area with 1 inch of rainfall

= 144 cubic inches (0.623 gallons)

Total surface area of all research sites

= 100 square feet

Total amount of water deposited at the research site with 1 inch of rainfall

= 144 cubic inches x 100 sq feet
= 14400 cubic inches

Therefore, the total amount of water deposited at the research site whenever an inch of rainfall occurs is 14400 cubic inches.

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To find the percentage change, we have to divide

Answer:

-2

Step-by-step explanation:

3x-1=-7

3x=-7+1

3x=-6

X=-6/3

X=-2

Answer:

-2

(sorry if it's blurry)

Hope it helps.....

Answer:

  2×3^2×5^10

Step-by-step explanation:

We presume you want the simplified product ...

  3^2×5^2×2×5^3×5^5

The applicable rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

The bases are 2, 3, 5. The exponent of 2 is 1; the exponent of 3 is 2; the exponents of 5 are 2, 3, 5, so those get added.

 = 2×3^2×5^(2+3+5)

  = 2×3^2×5^10

_____

  = 175,781,250

The curves y = 36x^2 - 1 and y = |x|√(1 - 36x^2) intersect at x = -1/6 and x = 1/6. The area is 2/9 + 1/54√35.

To find the area between these curves, we integrate the difference between the upper curve (y = 36x^2 - 1) and the lower curve (y = |x|√(1 - 36x^2)) over the interval [-1/6, 1/6]:

Area = ∫[-1/6, 1/6] (36x^2 - 1 - |x|√(1 - 36x^2)) dx

Evaluating this integral, we get:

Area = [12x^3 - x - 1/54√(36x^2 - 1)] evaluated from x = -1/6 to x = 1/6

Simplifying further, we obtain:

Area = [12/6^3 - 1/6 - 1/54√(36/6^2 - 1)] - [12/(-6^3) - (-1/6) - 1/54√(36/(-6^2) - 1)]

Calculating the values and simplifying, the final answer for the area of the region enclosed by the curves is:

Area = 2/9 + 1/54√35

Therefore, the area is 2/9 + 1/54√35.

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Answer:

1. 3240

2. 324×10^-1

Step-by-step explanation:

1. 32.4×10^<2

32.4×100

3240

Answer:

1.

\(32.4 \times {10}^{2} = 32.4 \times 100 = 3240\)

2. when you multiply any number has decimal point by 10 power specific number [10^N]

if N is negative move with decimal point move to left On the contrary if N is positive you must move to right

Ex :

\(22.4 \times {10}^{ - 1} = 2.24 \\ \\ \)

\(22.4 \times {10}^{} = 224\)

Answer:

d

Step-by-step explanation:

The Area Of The Circle Is 452.16

The Circumference Of The Circle Is 75.36

There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of men and r is the number of men chosen

so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.

Similarly, we evaluate the number of ways to choose 2 women from the 8 women

as = ⁸C₂ = 14

Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.

220 x 14 = 3080

Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

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Answer:

Distance = \(\sqrt{(1-5)^{2} + (5-2)^{2} }\) units

               = \(\sqrt{(-4)^{2} + (3)^{2} }\) units

               =\(\sqrt{25}\) units

               = 5 units

Answer:

The answer is -14 .

Step-by-step explanation:

Using BODMAS rule.... at first solve the bracketed problem... then you wm get your answer!

The sample size should be 24.

What is the sample size?

The process of deciding how many observations or replicates to include in a statistical sample is known as sample size determination. Any empirical study with the aim of drawing conclusions about a population from a sample must take into account the sample size as a crucial component.

Here, we have

Given

Margin of error = 300

confidence level = 0.9

standard deviation = 900

Assuming the standard deviation to be of population

ME = Z(0.1/2) × σ/√n

300 = 1.645 × 900/√n

n =  {(1.645 × 900)300}²

n = 24

Hence, the sample size should be 24.

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To visualize this transformation, imagine a rectangle with vertices at and (0,2). Applying the transformation (x,y) →  \((3x,3y)\) to each vertex, we get a new rectangle with vertices at   \((0,0), (3,0), (3,6),\) and \((0,6)\), which is three times the size of the original rectangle.

Algebraic representations can take many forms, including equations, inequalities, functions, and matrices. These representations provide a powerful tool for analysing complex systems and deriving meaningful insights from them.

The algebraic representation \((x,y) (3x,3y)\) describes a dilation transformation, specifically an enlargement or stretch by a scale factor of 3 in both the x and y directions.

This means that every point in the original figure is multiplied by 3 in both the x and y directions, resulting in a larger, similar figure.

To visualize this transformation, imagine a rectangle with vertices at  \((0,0), (1,0), (1,2),\)  and   \((0,2).\) Applying the transformation (x,y) → (3x,3y) to each vertex, we get a new rectangle with vertices at \((0,0), (3,0), (3,6),\)  and (0,6), which is three times the size of the original rectangle.

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The missing number in the unit conversion problem is composed as follows:

9 ft = 108 inches.

The missing number is obtained applying the proportions in the context of the problem.

The unit conversion rate between ft and inches is given as follows:

1 feet = 12 inches.

Hence the number of inches in 9 feet is obtained multiplying 9 by 12, as follows:

9 x 12 = 108 inches.

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The proportion of 12-ounce bags that contain more than the advertised 12 ounces of chips is 0.

The proportion of 12-ounce bags that contain more than the advertised 12 ounces of chips can be determined by finding the area under the normal distribution curve to the right of the mean.

To find this proportion, we can use the z-score formula:
z = (x - mean) / standard deviation

In this case, we want to find the proportion of bags that contain more than 12 ounces, so x = 12 ounces.

z = (12 - 12.5) / 0.2
z = -2.5 / 0.2
z = -12.5

Next, we need to find the cumulative probability associated with the z-score. We can use a standard normal distribution table or a calculator to find this probability.

Looking up the z-score of -12.5 in the table or using a calculator, we find that the cumulative probability is approximately 0.

Therefore, the proportion of 12-ounce bags that contain more than the advertised 12 ounces of chips is 0.

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Therefore, it will take approximately 1415.7 weeks for all of the chemical to evaporate.

To calculate the volume of a cone, we can use the formula:

\(Volume = (1/3) * π * r^2 * h\)

Given that the height (h) of the cone is 240 inches and the radius (r) is 150 inches, we can substitute these values into the formula:

\(Volume = (1/3) * 3.14 * 150^2 * 240\)

Simplifying the equation:

Volume = 3.14 * 22500 * 240

Volume ≈ 16988400 cubic inches

Now, we know that the liquid chemical evaporates at a rate of 12,000 cubic inches per week. To find out how many weeks it will take for all the chemical to evaporate, we can divide the total volume of the chemical by the evaporation rate:

Number of weeks = Volume / Evaporation rate

Number of weeks = 16988400 / 12000

Number of weeks ≈ 1415.7 weeks

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Qualitative data is being collected from the focus group.

Given that, a focus group was formed to provide opinions for a target market.

A group of people assembled to participate in a discussion about a product before it is launched, or to provide feedback on a political campaign, television series, etc.

Focus group used to gather qualitative data and in-depth insights, they enable researchers to collect information on anything from products and services to beliefs and perceptions in order to reveal true customer attitudes and opinions.

Therefore, qualitative data is being collected from the focus group.

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Answer:

1600

Step-by-step explanation:

(20 x 16)5

=320 x 5

=1600

Answer:

Mean is 50

Step-by-step explanation:

20 + 30 + 40 + 50 + 60 + 70 + 80 = 350

350 / 7 = 50

Answer:

50

Step-by-step explanation:

Mean means average number which sum of all numbers divided how many numbers we are investigating

We are investigating 7 numbers

The total sum of these numbers are:

20 + 30 + 40 +50+ 60+70+80= 350

Mean = 350/7= 50

The average time a customer waits in the system is 9 minutes.

To calculate the average time a customer waits in the system, we need to consider the arrival rate of customers and the service rate. In this case, customers arrive at the post office at an average rate of one every 6 minutes, which corresponds to an arrival rate of λ = 1/6 customers per minute.

The average time it takes to process a customer is 3 minutes, which represents the service rate, μ = 1/3 customers per minute.

In queuing theory, the average time a customer waits in the system can be calculated using the formula:

Average waiting time = 1 / (service rate - arrival rate)

In this scenario, the service rate (μ) is 1/3 customers per minute, and the arrival rate (λ) is 1/6 customers per minute. Plugging these values into the formula, we have:

Average waiting time = 1 / (1/3 - 1/6) = 1 / (2/6) = 3/2 = 1.5 minutes.

Therefore, the average time a customer waits in the system is 1.5 minutes, or 9 minutes.

This calculation takes into account the balance between customer arrivals and the processing time, providing an estimate of the average waiting time a customer can expect in the system.

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Answer:

Step-by-step explanation:

3245