For the function f(x) = 3(x - 1)2 + 2, identify the vertex, domain, and range. (2 points) a The vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2. b The vertex is (1, 2), the domain is all real numbers, and the range is y ≤ 2. c The vertex is (-1, 2), the domain is all real numbers, and the range is y ≥ 2. d The vertex is (-1, 2), the domain is all real numbers, and the range is y ≤ 2.

Bryleigh have to pay 1260 cents because this is the cost of three dozen brownies.

According to the question,

We have the following information:

Bryleigh needs three dozen brownies for a party. Each brownie costs 35¢.

Now, we know that one dozen of a product means that there are 12 products in total.

So, 3 dozens of brownies means that 12*3.

So, we have 36 products in total.

Now, we have cost of 1 brownie as 35 cents.

So, the cost of 36 brownies can be easily found by multiplying the cost of 1 brownie by 36.

1 brownie = 35 cents

Cost of 36 brownies = 36*35 cents

Cost of 36 brownies = 1260 cents

Hence, the cost of three dozen brownies for which Bryleigh have to pay is 1260 cents.

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The ERD for the described situation would include entities such as county jails, mental health facilities, shelters, hospitals, and a coordinating database. Relationships between these entities would allow for coordination and prediction of the type of assistance individuals may need to reduce their involvement in the justice system.

The ERD for the Miami-Dade County court system's database would include the following entities:

County Jails: Represents the jails within the county system where individuals may be incarcerated.

Mental Health Facilities: Represents the facilities that provide mental health services and support.

Shelters: Represents the shelters that offer temporary housing and assistance to those in need.

Hospitals: Represents the healthcare institutions where individuals receive medical treatment.

Coordinating Database: Represents the central database that coordinates activities and stores information from all the other entities.

The relationships between these entities would be established through appropriate connections:

County Jails to Coordinating Database: This relationship would allow for the exchange of information about individuals in the jail system, including their personal history and involvement in the justice system.

Mental Health Facilities to Coordinating Database: This relationship would facilitate the sharing of information regarding individuals' mental health needs and treatment plans.

Shelters to Coordinating Database: This relationship would enable the coordination of housing services and assistance programs for individuals in the justice system.

Hospitals to Coordinating Database: This relationship would allow for the integration of medical records and healthcare services for individuals involved in the justice system.

These relationships and the information stored in the coordinating database would serve as the foundation for algorithms to predict the type of help individuals might require to reduce their involvement in the justice system.

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Answer:

D. (5, 4)

Step-by-step explanation:

4x + y = 16       ----->     y = 16 - 4x

2x + 3y = -2

Substitute to find x

2x + 3(16 - 4x) = -2

2x + 48 - 12x = -2

-10x = -50

x = 5

Substitute to find y

4(5) + y = 16

20 + y = 16

y = 4

Final solution: (5, 4)

Hope this helps!

Answer:

The zeroes are x = -4 and x = 2.

Answer:

15

Step-by-step explanation:

.

The greatest number of books by a student in this group is 15.

An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.

W can find the values of the upper and lower quartile and median from a box plot.

The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.

The formula used is Upper quartile - Lower quartile.

We have,

From the box plot,

We can see that,

Median = 6

First quartile = 2

Third quartile = 10

Smallest number = 2

Highest number = 15

Thus,

The greatest number of books by a student in this group is 15.

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a computer randomly selects 800 names from a list of all registered voters. Then option C  is correct  that is Simple random sampling

A simple random sample in statistics, is a subset of individuals chosen from a larger set. Each individual is chosen randomly and entirely by chance, such that each individual has the same probability for the entire larger set.

the complete question is

Identify the sampling method as simple random​ sampling, systematic​ sampling, convenience​ sampling, or stratified sampling. A computer randomly selects 800 names from a list of all registered voters. Those selected are surveyed to predict who will win the election for Mayor.

Choose the correct sampling technique below.

A. Systematic sampling

B. Convenience sampling

C. Simple random sampling

D. Stratified sampling

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Answer:

6(1-(-8)= 54

Step-by-step explanation:

Plug negative 8 in for x and solve the equation

Sheba's initial horizontal velocity (Vx) is approximately 7.81 m/s, and her initial vertical velocity (Vy) is approximately 4.09 m/s.

To analyze Sheba's motion during dock diving, we can break down her initial velocity into horizontal and vertical components.

Given an initial speed of 8.72 m/s and an angle of 28 degrees, we can calculate the horizontal and vertical velocities using trigonometry.

The horizontal velocity (Vx) can be found using the cosine function:

Vx = V * cos(angle)

Vx = 8.72 m/s * cos(28 degrees)

Vx ≈ 7.81 m/s

The vertical velocity (Vy) can be determined using the sine function:

Vy = V * sin(angle)

Vy = 8.72 m/s * sin(28 degrees)

Vy ≈ 4.09 m/s

So, Sheba's initial horizontal velocity (Vx) is approximately 7.81 m/s, and her initial vertical velocity (Vy) is approximately 4.09 m/s.

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Answer:

(-6, -5)

Step-by-step explanation:

For a rotation of 180 degrees no matter the direction, you just flip the sign. In (6, 5) both are positive so you just change them to a negative.

By applying this theory, it is discovered that there is an 0.5 = 50% chance that the marble will land on a 00 or even slot.

A probability is calculated by dividing the entire number of possible outcomes by the desired outcomes.

In this issue:

The preferred likelihood is:

P = D/T

P = 19/38 = 0.5

Thus, the probability that the marble will land on a 00 or even slot is 50%, or 0.5.

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The complete question is-

When playing American​ roulette, the croupier​ (attendant) spins a marble that lands in one of the 38 slots in a revolving turntable. The slots are numbered 1 to​ 36, with two additional slots labeled 0 and 00 that are painted green. Consider the numbers 0 and 00 as neither even nor odd. Half the remaining slots are colored red and half are black. Assume a single spin of the roulette wheel is made. Find the probability of the marble landing on a 00 or even slot.

Answer:

Step-by-step explanation:

Given

Natoy's rectangular swimming pool has the length of 3m more than thrice its

width.

Width=w

Length =3w+3

So

Area of the rectangular swimming pool=length×width

216=(3w+3)×w

216=3w^2+3w

3w^2+3w-216=0

3(w^2+w-72)=0

W^2+w-72=0

W^2+(9-8)w-72=0

W^2+9w-8w-72=0

W(w+9)-8(w+9)=0

(W+9)(w-8)=0

Sotwo value of w are 8,-9

We take positive value for rectangular swimming so we take w=8m

Width=8m

Length=3×8+3

= 24+3

=27m

Answer:

f(- 3) = 51, g(2) = - 11

Step-by-step explanation:

To evaluate f(- 3), substitute x = - 3 into f(x), that is

f(- 3) = - 2(- 3)³ - 3 = - 2(- 27) - 3 =  54 - 3 = 51

Similarly for g(2)

g(2) = - 5(2) - 1 = - 10 - 1 = - 11

The value of the x, y and z for the given similar triangles obtained by using Pythagorean theorem are :x = 6.32 units ; y = 12.64 units and z = 20 units.

Congruent triangles and similar triangles are two distinct but closely related concepts. Similar triangles are any two or more triangles having the identical proportions of their corresponding sides, an equal pair with corresponding angles, and their similar shape.

All the matching sides in identical triangles have the same ratio.

Angles that correspond to each other are all equal.

The Angle-Angle (AA) rule states that two triangles are comparable if two of their angles are equivalent to two of another triangle's angles.

In the given figure:

Applying Pythagorean theorem in smaller triangle:

x² = 6²+ 2²

x² = 36 + 4

x² = 40

x = √40

x = 6.32 units

Applying the similarity in the complete triangle and smaller triangle.

Taking the ratios of the their side:

z/x = 2/x

z = x*x / 2

z = √40 x √40 /2

z = 40/2 = 20 units.

Now applying again Pythagorean theorem:

z² = y²+ x²

20² = y²+ √40 ²

y²= 400 - 40

y² = 160

y = 4√10

y = 12.64 units.

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In a multiple regression model, the variance of the error term e is assumed to be the same for all values of the independent variable. Therefore, the correct option is C) the same for all values of the independent variable.

In multiple regression, we use several independent variables to predict the values of the dependent variable. The model estimates the relationship between the independent variables and the dependent variable by calculating the coefficients of the independent variables.

The error term e represents the difference between the predicted value of the dependent variable and the actual value of the dependent variable.

The assumption of constant variance of the error term e is known as homoscedasticity. It means that the variance of the errors is the same for all levels of the independent variables.

This assumption is important because, if the errors have different variances across the levels of the independent variable, the model may not accurately capture the relationship between the independent variables and the dependent variable, leading to biased and unreliable results. so, the correct answer is C).

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Answer:

Speed in km/hr = 518.4 km/hr

Step-by-step explanation:

Speed = 144 m/s

To convert m/s to km/her, you just need to multiply it by 3.6

Speed in km/hr = 144 × 3.6

Speed in km/hr = 518.4 km/hr

Answer:

518.40km/h

Step-by-step explanation:

144m/s

it means that in 1 sec it does 144m

we are searching how many km it does in 1 hour

1 hour = 60*60=3600 sec

so in 3600 sec (= 1 hour) it does 144*3600 m

and 1 km = 1 000m

so in 1 hour it does 144*3600/1000 = 144*3.6 = 518.40

the speed of the car is 518.40km/hr

hope this helps

Answer:

1. d.9

2.

3.

Step-by-step explanation:

that is the only one I know sorry

Answer:

y= 2/3 x + 4

y- intercept= (0,4)

and slope of the line is 2/3

Answer:

B.

Step-by-step explanation:

y = mx + b

The y-intercept is the point (0, 4), so you get b = 4

You now have

y = mx + 4

Now start at the y-intercept, (0, 4). Go up 2 units and right 3 units to a point on the line; rise = 2; run = 2.

slope = m = rise/run = 2/3

Now you have

y = 2/3 x + 4

Answer: B.

Answer:

x=\(-\frac{1+2i\sqrt{31} }{5}\)

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

−25=  \(\frac{1}{2}\)  (10x−2)+3x

−25=(\(\frac{1}{2}\))(10x)+( \(\frac{1}{2}\) )(−2)+3x(Distribute)

−25=5x+−1+3x

−25=(5x+3x)+(−1)(Combine Like Terms)

−25=8x+−1

−25=8x−1

Step 2: Flip the equation.

8x−1=−25

Step 3: Add 1 to both sides.

8x−1+1=−25+1

8x=−24

Step 4: Divide both sides by 8.

8x  ÷ 8   =   −24  ÷ 8

Answer:

\(AS = 10\sqrt{41} \\WE = 20\\EN = 25\\Part D = 90 - 10\sqrt{41}\)

Step-by-step explanation:

AR = 50

AW = WR = EN = 25

RS = 40

RN = NS = WE = 20

\(AS=\sqrt{(AR)^2+(RS)^2}\\AS=\sqrt{(50)^2+(40)^2} \\AS=\sqrt{2500+1600} \\AS=\sqrt{4100} \\AS=\sqrt{41*100}\\AS = 10\sqrt{41}\)

\(AR + RS - AS = 50 + 40 - 10\sqrt{41} \\AR + RS - AS = 90 - 10\sqrt{41}\\AR + RS - AS = 10 (9 - \sqrt{41})\)

The appropriate statistical test for this hypothesis would be the Paired T-Test.

The Paired T-Test is used when comparing the means of two related groups or when comparing the same group before and after an intervention or treatment. In this scenario, the researcher is interested in comparing the reaction times of individuals before and after they started playing Real Time Strategy games.

The study design involves measuring the reaction times of individuals before they start playing Real Time Strategy games and then measuring their reaction times again after four weeks of playing these games. Since the same group of individuals is being tested before and after the intervention, the data is paired or dependent.

The Paired T-Test allows us to assess whether there is a significant difference between the mean reaction times before and after playing Real Time Strategy games. By comparing the paired observations, we can determine if there is a statistically significant increase in reaction time after playing these games.

Therefore, the appropriate statistical test for this hypothesis would be the Paired T-Test.

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this is my answer, and i hope this helps...

The equation of the plane in the scalar form is: -5x + 2y + 4z = 9

To find the equation of the plane in scalar form, we need to use the formula:

n · (r - P) = 0

where n is the normal vector, P is the given point on the plane, r is any point on the plane, and · denotes the dot product.

Substituting the given values, we get:

(-5,2,4) · (x-5, y-9, z-4) = 0

Expanding the dot product, we get:

-5(x-5) + 2(y-9) + 4(z-4) = 0

Simplifying, we get:

-5x + 25 + 2y - 18 + 4z - 16 = 0

-5x + 2y + 4z = 9

Therefore, the equation of the plane in scalar form is:

-5x + 2y + 4z = 9.

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The stretch of an exponential decay function is y = 2(1/5)ˣ

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

The list of exponential functions

An exponential function is represented as

y = abˣ

Where

In this case, the exponential function is a decay function

This means that

The value of b is less than 1

An example of this is, from the list of option is

y = 2(1/5)ˣ

Hence, the exponential decay function is y = 2(1/5)ˣ

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Complete question

Which is a stretch of an exponential decay function?

Of(x) = -(5)ˣ

Of(x) = 5(2)ˣ

O fix) = 2(1/5)ˣ

Answer:

5x-2

Step-by-step explanation:

(3x)+(x+2)+(x-4)= 5x-2

When a consumer's budget increases, the budget line shifts to the right, allowing the consumer to reach a higher level of consumption. Therefore, the correct answer is A. right; higher

When a consumer's budget increases, it means they have more money available to spend on goods and services. This increase in budget causes the budget line, which represents the different combinations of goods a consumer can afford, to shift. The budget line shows the maximum amount of goods that can be purchased with the given budget and prices.

When the budget line shifts to the right, it indicates that the consumer can now afford to purchase more goods than before. This means that the consumer can reach a higher level of consumption because they have more options available to them within their budget constraint. They can either purchase more of the same goods or allocate their budget towards different goods and increase their overall consumption.

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Answer:I think you can say like the most bought music in class B is alternative and the lowest one is classical and so on

Step-by-step explanation:

Answer: 219.91cm

Step-by-step explanation:

C=πd

π·70

=219.91149cm