Stacy drew a scale drawing of on park on a map. The scale is 1 inch : 10 yards. If the drawing of the park is 6 inches. How wide is the actual park?



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ANSWER:

STEP-BY-STEP EXPLANATION:

We have to rule for reflection about the line y = x is:

Therefore:

The output value of g( -5 ) in the function g( x ) = −23( x - 4 )2 + 3 is 417.

A function is simply a relationship that maps one input to one output, that is, each x-value can only have one y-value.

Given the data in the question;

To find the g( - 5 ), replace all the occurrence of x with -5 in the function and simplify.

g( x ) = −23( x - 4 )2 + 3

g( -5 ) = −23( -5 - 4 )2 + 3

g( -5 ) = −23( -9 )2 + 3

g( -5 ) = −23( -9 × 2) + 3

g( -5 ) = −23( -18) + 3

g( -5 ) = ( -23 × -18) + 3

g( -5 ) = ( 414 ) + 3

g( -5 ) = 414 + 3

g( -5 ) = 417

Therefore, the output value of g( -5 ) is 417.

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Answer:

(-∞, 5/3) and (5/3,∞)

Step-by-step explanation:

f(x) = (x+4)/ (3x-5)

The domain is the values that x can be

We have one discontinuity or value the x cannot be

The denominator cannot be zero

3x-5 ≠0

3x≠5

x ≠5/3

The domain is all real numbers but x = 5/3

(-∞, 5/3) and (5/3,∞)

Answer:

\(2 = \frac{1}{2} (7x - 4)\)

________________________________

\(2 \times 2 = 7x - 4\)

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\(4 + 4 = 7x\)

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\(8 = 7x\)

________________________________

\(x = \frac{8}{7}\)

________________________________

\(x = 1 \frac{1}{7}\)

________________________________

hope it helped you:)

3 colors are the maximum that can be used.

What is square?

Having four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. Each square form may be recognized by its equal sides and 90° inner angles. A square is a closed form with four equal sides and interior angles that are both 90 degrees. Numerous different qualities can be found in a square.

each square of the three-by-three grid is painted so that the whole picture has at least the two lines of symmetry indicated.

each grid square is painted one solid color

Based on the symmetry lines the groups that must be the same color are

{1,3,7,9}

{2,4,6,8}

and {5}

Hence, 3 colors are the maximum that can be used.

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Answer:

Option (1)

Step-by-step explanation:

Coordinates of the vertices are A(-2, 1), B(2, 7), C(8, 3) and D(4, -3)

Since ABCD is a square,

Perimeter of a square = 4 × (length of a side)

                                    = 4 × (AB)

Formula to calculate the distance between two points \((x_1,y_1)\) and \((x_2,y_2)\) is,

d = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Therefore, distance between two points A(-2, 1) and B(2, 7) will be,

AB = \(\sqrt{(2+2)^2+(7-1)^2}\)

AB = \(\sqrt{4^2+6^2}\)

AB = \(\sqrt{52}\)

AB = \(2\sqrt{13}\)

Now area of  square ABCD = 4 × \(2\sqrt{13}\)

                                              = \(8\sqrt{13}\) unit

Therefore, option (1) will be the answer.

Answer:

A is the answer (-3/2, 9/2)

The correct answer is B. 0:00. the blue marker in her sequencer should be read as  "0:00" if it is at the beginning of her video.

What is a video editor?

A video editor is a software application used to edit video footage and create video productions. It allows users to manipulate and arrange video clips, add effects and transitions, adjust colors and sound, and export the final product in various formats for playback on different devices. Video editors are commonly used in film and television production, marketing and advertising, social media, and personal projects.

In Blender's sequencer, the blue marker represents the current frame being viewed. When the blue marker is at the beginning of the video, it should read "0:00" to indicate that it is at the start of the video, with 0 minutes and 0 seconds elapsed. Option A ("00") and Option C ("0+00") do not include the colon required to separate the minutes and seconds, and Option D ("+0") only includes the minutes elapsed without indicating the seconds.

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Answer:

The answer will be 12 students. 12 students must transfer from Class Y to Class X so that both classes have equal number of students.

Step-by-step explanation:

Since the ratio is 2 : 5, we would multiply both number to 8 and get 16 : 40.

Now find the average of those two numbers: (16 + 40) / 2 which gets you 28. Now either subtract 16 from 28 or subtract 28 from 40 and you will get 12.

28 - 16 = 12 students

40 - 28 = 12 students.

Greetings from Brasil...

The expression that allows you to calculate the distance between two points is:

Bringing to our problem:

d(A; B) = √[(0 - 3)² + (- 3 - 1)²]

d(A; B) = √[(- 3)² + (- 4)²]

d(A; B) = √[9 + 16]

d(A; B) = √[25]

Answer:

1. 3<u<7

2. -2>d or d ≥ 2

3. -2.4 >s <5.2

4.  c >- 4 or c ⩽ -6 \(\frac{1}{2}\)

Step-by-step explanation:

Hope I am helpful!

Answer:

8 hours

Step-by-step explanation:

divide 198 by 11 to get 18, then divide 144 by 18 to get 8.

Answer:

I would take 8 hours because if you divide 198 by 11 you get the rate and multiply the rate by 8 to get 144

\(\huge\purple{Hi!}\)

renters insurance is a Fixed expenses

Answer: The answer is B

Step-by-step explanation: Its because to mulltiply power you must count how many 0 they are to get the right amout since its 2 to the power we have to look for the number that has 2 0s

The base and exponent of −2^4 are

Base: -2

Exponent: 4

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

-2^4

In the expression -2^4, -2 is the base and 4 is the exponent.

The base is the number that is being multiplied by itself and the exponent is the number of times the base is being multiplied by itself.

In this case the base is -2 and the exponent is 4.

So the expression -2^4 means -2 multiplied by itself 4 times.

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In these options, 0ption D that is, Multicollinearity, is not an assumption of the regression model.

The regression model is a statistical technique used to model the relationship between a dependent variable and one or more independent variables. There are several assumptions associated with the regression model, which should be satisfied for accurate and reliable results.

Option A, Linearity, assumes that there is a linear relationship between the independent variables and the dependent variable. It implies that the relationship can be represented by a straight line.

Option B, Independence, assumes that the observations or data points used in the regression model are independent of each other. This means that the value of one observation does not depend on or influence the value of another observation.

Option C, Homoscedasticity, assumes that the variance of the errors or residuals in the regression model is constant across all levels of the independent variables. It implies that the spread or dispersion of the residuals is consistent.

Option D, Multicollinearity, is not an assumption of the regression model. Multicollinearity refers to a high correlation between independent variables in the regression model, which can cause issues in estimating the individual effects of the independent variables.

Therefore, the correct answer is D) Multicollinearity, as it is not an assumption of the regression model.

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When creating a confidence interval for the mean in a (B) t-distribution, the number of standard deviations needed is determined using the following distribution.

Any member of the family of continuous probability distributions known as the Student's t-distribution (or simply the t-distribution) in probability and statistics is used to estimate the mean of a normally distributed population when the sample size is small and the population's standard deviation is unknown.

The following distribution is used to calculate the number of standard deviations required for our confidence interval when doing a confidence interval for the mean in a t-distribution.

The Student's t-test for determining the statistical significance of the difference between two sample means, the construction of confidence intervals for the difference between two population means, and linear regression analysis are just a few commonly used statistical analyses that make use of the t-distribution.

Therefore, when creating a confidence interval for the mean in a (B) t-distribution, the number of standard deviations needed is determined using the following distribution.

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Correct question:
When we do a confidence interval for the mean, we use the following distribution to determine the number of standard deviations needed for our confidence:

a. z-distribution

b. t-distribution

c. Chi-Square distribution

d. skewed distribution

Answer:

\(|a| \to \: is \: the \: absolute \: value \: of \: a .\)

Step-by-step explanation:

\(|a| \to \: is \: the \: absolute \: value \: of \: a \\ if \: a \: is \: - 5 : then : \\ |a| = | - 5| = 5.\\ if \: a \: is \: 5 : then : \\ |a| = | 5| = 5. \\ \\ but \: \\ when \: its \: - |a| \\ if \: a \: is \: - 5 : then : \\ - |a| = - | - 5| = - 1 \times 5 = \boxed{ - 5}.\\ if \: a \: is \: 5 : then : \\ - |a| = - | 5| = - 1 \times 5 = boxed{ - 5}. \)

♨Rage♨

Step-by-step Answer:

Whenever we have a problem like this, we can have 2 solutions (either one can work) because, in absolute equations, we need to find how far away the number is from 0.

So the answer would simply be that a>2 and a<-2

a can be anything greater than 2 or a can be anything less than 2

The image below might help to better understand

Answer:

6

Step-by-step explanation:

there are 4 atoms of hydrogen, 1 atom of oxygen, and 1 atom of carbon

The correct statement is: The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.

The rate of change in a linear function represents how the dependent variable (in this case, height) changes with respect to the independent variable (time). To find the rate of change in this scenario, we can calculate the slope of the line that goes through the given points (2, 3) and (4, 6).

The slope of a line is determined by the change in the y-values divided by the change in the x-values. In this case, the change in y is 6 - 3 = 3 inches, and the change in x is 4 - 2 = 2 years.

Therefore, the rate of change is 3 inches / 2 years = 1.5 inches per year. This means that for every additional year of growth, the plant's height increases by an average of 1.5 inches.

Now, let's analyze the given statements:

1. The rate of change of a linear function is always the same.

  This statement is true. In a linear function, the rate of change (slope) remains constant throughout the entire graph.

2. The rate of change of a linear function always increases as the input increases.

  This statement is not necessarily true. The rate of change can be positive or negative, depending on whether the line slopes upward or downward.

3. The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.

  This statement is true. We calculated the rate of change to be 1.5 inches per year.

4. The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.

  This statement is not necessarily true. The rate of change may vary depending on the specific section of the graph being considered. However, we only calculated the rate of change between 2 and 4 years, so we cannot determine the rate of change over a larger time frame based on this information.

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a) There are 5 x 4 x 3 = 60 ways to pick a director, manager, and secretary from a group of 5 people. and b) There are 453,600 different 10-letter arrangements that can be formed using the letters in the word BOOKKEEPER.

a) To determine the number of ways to pick a director, manager, and secretary from a group of 5 people, we can use the fundamental counting principle.

Since each position can only be filled by one person at a time, the number of choices for the director is 5, the number of choices for the manager is 4 (since one person has already been chosen as director), and the number of choices for the secretary is 3 (since two people have already been chosen as director and manager).

Multiplying these together, we get 5 x 4 x 3 = 60 ways to pick a director, manager, and secretary.

b) To find the total number of different 10-letter arrangements that can be formed using the letters in the word BOOKKEEPER, we can use the concept of permutations.

The word BOOKKEEPER has 10 letters in total, with 3 O's, 2 E's, and 1 each of B, K, P, and R. Using the permutation formula, we can calculate the total number of arrangements as 10! / (3! x 2! x 1! x 1! x 1! x 1!) which simplifies to 453,600.

This means there are 453,600 different ways to arrange the letters of BOOKKEEPER to form 10-letter words.

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This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.

Solving for the area and scale factor we have:

L= 5 units

W = 2 units

A = (5 x 2)

A = 10 square units.

A= (Scale factor of  L * W)*  L * W

= (2 x 2 x 5 x 2)

A = 40 square units.

A= (Scale factor of  L * W)*  L * W

= (3 x 3 x 5 x 2)

A= 90 square units

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A large standard deviation means the view of the people is very dispersed and not near the mean or not similar.

Standard deviation is a very important terminology in Statistics which help to study dispersion of data from the mean

A lower value of standard deviation means the data is accumulated near the mean while a higher value means the data is dispersed in the entire range.

It is given in the question that

A researcher conducts a written survey to determine the opinion of subjects regarding their opinion of the favorability of a certain hospital.

The standard deviation value for the sample is large

A large standard deviation means the view of the people is very dispersed and not near the mean or not same.

There will be difference in the opinion as they deviate from the central value.

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Answer:

your answer will be 9

Step-by-step explanation:

maybe lol

The general indefinite integral of the given function is 2 sin(x) + C, where C is the constant of integration.

The given integral can be solved by using the method of substitution. Let u = sin(x), then du/dx = cos(x) and dx = du/cos(x). Substituting these values in the integral, we get:

∫5 sin(2x) / sin(x) dx = ∫5 2 sin(x) cos(x) / sin(x) dx

= ∫5 2 cos(x) dx = 2 sin(x) + C

Thus, the general indefinite integral of the given function is 2 sin(x) + C, where C is the constant of integration.

In this solution, we used the method of substitution to solve the given integral. This method involves substituting a part of the integrand with a new variable, which simplifies the integral and makes it easier to solve.

We chose u = sin(x) as the new variable, which allowed us to express the integrand in terms of u and simplify it. After solving the new integral in terms of u, we then substituted back u = sin(x) to obtain the final solution in terms of x.

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Answer:

1/2

Step-by-step explanation:

6 x __ = 3

We divided by 6 into both sides

x  = 3/6 = 1/2

So, the missing number is 1/2