All the formation your name is on the picture picture provided

The blue curve of the image attached below represents the graph of the function f(x) = 3 · x².

In this question we have a power function formed by the product of a primitive function g(x) = x² and vertical dilation h(x) = 3, then:

f(x) = h(x) · g(x)

f(x) = 3 · x²

Now we proceed to graph both the primitive function and the transformed function with a graphing tool. Please notice that the primitive function is the red curve.

The statement presents typing mistakes. Correct form is shown below:

Show a graph for the following: f(x) = 3 · x².

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Objects commonly found in a locality include residential buildings, commercial establishments, public facilities, transportation infrastructure, landmarks, natural features, utilities, street furniture, and vehicles.

The type of objects that can be found in a locality can vary greatly depending on the specific location and its surroundings. Here are some common types of objects that can be found in a locality:

Residential Buildings: Houses, apartments, condominiums, and other types of residential structures are commonly found in localities where people live.

Commercial Establishments: Localities often have various types of commercial establishments such as stores, shops, restaurants, cafes, banks, offices, and shopping centers.

Public Facilities: Localities typically have public facilities such as schools, libraries, hospitals, community centers, parks, playgrounds, and sports facilities.

Transportation Infrastructure: Localities usually have roads, sidewalks, bridges, and public transportation systems like bus stops or train stations.

Landmarks and Monuments: Some localities may have landmarks, historical sites, monuments, or cultural attractions that represent the area's heritage or significance.

Natural Features: Depending on the locality's geographical characteristics, natural features like parks, lakes, rivers, mountains, forests, or beaches can be present.

Utilities: Localities have infrastructure for utilities such as water supply systems, electrical grids, sewage systems, and telecommunications networks.

Street Furniture: Localities often have street furniture like benches, streetlights, waste bins, traffic signs, and public art installations.

Vehicles: Various types of vehicles can be found in a locality, including cars, bicycles, motorcycles, buses, trucks, and possibly other modes of transportation.

It's important to note that the objects present in a locality can significantly differ based on factors such as urban or rural setting, cultural context, economic development, and geographical location.

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Answer:

10

Step-by-step explanation:

take 6-5=1

6+5=11

These are the parameters of a triangle. If the third side length is equal to 11 then that is impossible.

1<x<11

So the largest value for x would be 10

Hope that helps :)

Answer:

3225 grams

Step-by-step explanation:

215 x 15

Answer:

Vertex: (-3. -8)

Step-by-step explanation:

Quickest and easiest way to do this is to using a graphing calc and graph the function. Once you have done so, trace the graph to the lowest point of the graph. You should be able to see that (-3, -8) is your answer.

Alternatively, you can convert this function into f(x) = a(bx - h)² + k (by Completing the Square) form to find (-h, k) as your vertex.

∠G+∠H+∠J=180 and ∠K+∠L+∠M=180 from the angle sum property of triangle, ∠H=∠L (3rd Angle Theorem) and ∆GHJ≅∆KLM from ASA congruency theorem.

In the given question we have to prove ∆GHJ congrurnce ∆KLM.

Given that: ∠G≅∠K, ∠J≅∠M, \(\over{HJ}\) ≅ \(\over{LM}\).

As given that;

∠G≅∠K

∠J≅∠M

\(\over{HJ}\) ≅ \(\over{LM}\)

So from the angle sum property of triangle

∠G+∠H+∠J=180................(1)

∠K+∠L+∠M=180.................(2)

Now equation equation 1 and 2

∠G+∠H+∠J=∠K+∠L+∠M

As we know that ∠G=∠K, ∠J=∠M

So now the expression is

∠G+∠H+∠J=∠G+∠L+∠J

After solving ∠H=∠L (3rd Angle Theorem)

Since, ∠H=∠L, HJ=LM and ∠G=∠K, so from the theorem Angle Side Angle(ASA) congruency,

∆GHJ≅∆KLM

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A function assigns the values. The correct option is C.

A function assigns the value of each element of one set to the other specific element of another set.

If we plot the function, y = 4x⁴ - 8x² + 4, then it can be observed that the lists all of the turning points of the graphs are (–1, 0), (0, 4), and (1, 0).

Hence, the correct option is C.

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Answer: $773.18

Step-by-step explanation:

Revenue=Cost 1−Gross Margin

Revenue=5,670.001−0.1200

Revenue=6,443.18

Gross Profit=Revenue×Gross Margin

Gross Profit=6,443.18×0.1200

Gross Profit=773.18

Mark Up=Gross ProfitCost×100

Mark Up=773.185,670.00×100

Mark Up=13.64%

The horizontal shift is to the right.

The exact period is 8/7.

In a trigonometric function, written of the form

y = A csc (Bx - C)

the parameters are interpreted as follows

A is the amplitude

B is period / 2π

C is the horizontal shift

comparing with the equation y = 2 csc (7π/4x - 21π/2). we have that

horizontal shift = -21π/2 since it is positive it is to the right

The exact period is

Period = 2π / (7π/4)

= 8/7

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Answer:

ok sir Gary is the only way to get a hold on anymore and he is

Answer:

B

Step-by-step explanation:

the best wedsite would be wikipedia

(a) To compute the experimental probability of rolling a 1 or 6 from Latoya's results, we need to determine the number of times a 1 or 6 was rolled and divide it by the total number of rolls Latoya made.

Let's assume that Latoya rolled the dice 100 times and obtained 20 1's and 10 6's. The total number of successful outcomes (rolling a 1 or 6) is 20 + 10 = 30.

Therefore, the experimental probability of rolling a 1 or 6 is 30/100 = 0.3 or 30%.

(b) Assuming the cube is fair, the theoretical probability of rolling a 1 or 6 can be determined by considering the favorable outcomes (rolling a 1 or 6) divided by the total possible outcomes (rolling any number from 1 to 6).

Since there are two favorable outcomes (1 and 6) out of six possible outcomes (1, 2, 3, 4, 5, 6), the theoretical probability is 2/6 = 1/3 or approximately 0.3333.

(c) The correct statement is B. As the number of rolls increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. This is due to the law of large numbers, which states that as more trials are conducted, the experimental probability tends to converge towards the theoretical probability. However, it is not necessary for them to be exactly equal. Random variations can cause some discrepancy, but with a larger number of rolls, the experimental probability should approach the theoretical probability more closely.

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Answer:

= h^-6

Step-by-step explanation:

When dividing powers you subtract them (indices rules)

--> -2 - 4 = -6

Hope this helps, please mark as brainliest

The populations that experienced more births than deaths over the five years is the population with a green curve.

When a population experiences more births than death, it leads ot a population explosion and rapid population growth.

As shown in the graph, the population of the in green has higher numbers / year than those in the red.

Thus, it is correct to state that by looking at the graph, the populations that experienced more births than deaths over the five years is the population with a green curve.

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The mean and the standard deviation, from the frequency table, are given as follows:

The frequency table gives the number of times that each observation appears.

The mean of a data-set is given by the sum of all observations divided by the number of observations, hence it is given as follows:

Mean = (1 x 13 + 2 x 12 + 3 x 5)/(13 + 12 + 5) = 1.73.

The standard deviation is given by the square root of the sum of the difference squared between each observation and the mean, divided by the number of observations, hence it is given as follows:

Standard deviation = sqrt((13 x (1 - 1.73)² + 12 x (2 - 1.73)² + 5 x (3 - 1.72)²)/30) = 0.73.

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Answer:

5s - 5z + 30

Step-by-step explanation:

5(s+4)+5(2-z)

(5s + 20) + (10 - 5z)

5s - 5z + 30

Hope that helps!

The correlation coefficient between X and Y is Corr(X, Y) = 0.

To calculate the marginal distribution of X and Y, we need to integrate the joint probability density function (PDF) over the appropriate ranges.

a. Marginal distribution of X:

To find the marginal distribution of X, we integrate the joint PDF over the range of Y:

∫[0, 1] J(x, y) dy

Since the joint PDF is defined as J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1 and J(x, y) = 0 otherwise, the integral becomes:

∫[0, x] 1 dy = x, for 0 ≤ x ≤ 1

So, the marginal distribution of X is simply X(x) = x for 0 ≤ x ≤ 1.

b. Expectation of X:

The expectation (mean) of X can be calculated as the integral of x times the marginal PDF of X:

\(E(X) = ∫[0, 1] x * X(x) dx = ∫[0, 1] x^2 dx = [x^3/3] from 0 to 1 = 1/3\)

Therefore, the expectation of X is E(X) = 1/3.

c. Variance of X:

The variance of X can be calculated using the formula:

\(Var(X) = E(X^2) - (E(X))^2E(X^2) = ∫[0, 1] x^2 * X(x) dx = ∫[0, 1] x^3 dx = [x^4/4] from 0 to 1 = 1/4Var(X) = 1/4 - (1/3)^2 = 1/4 - 1/9 = 5/36\)

Therefore, the variance of X is Var(X) = 5/36.

d. Covariance of X and Y:

The covariance of X and Y can be calculated as:

Cov(X, Y) = E(XY) - E(X)E(Y)

Since the joint PDF J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1, the integral becomes:

\(E(XY) = ∫[0, 1] ∫[0, x] xy dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)

\(E(X) = 1/3 (from part b)E(Y) = ∫[0, 1] ∫[0, x] y J(x, y) dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)

Cov(X, Y) = 1/6 - (1/3)(1/6) = 0

Therefore, the covariance of X and Y is Cov(X, Y) = 0.

e. Correlation coefficient between X and Y:

The correlation coefficient can be calculated using the formula:

Corr(X, Y) = Cov(X, Y) / √(Var(X) * Var(Y))

Since the covariance of X and Y is 0, the correlation coefficient will also be 0.

Therefore, the correlation coefficient between X and Y is Corr(X, Y) = 0.

f. Conclusion based on the correlation coefficient:

The correlation coefficient of 0 indicates that there is no linear relationship between X and Y. In this case, the fraction of male runners (X) and the

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Answer:

hurricane basics

Step-by-step explanation:

A "hurricane" is the most severe category of the meteorological phenomenon known as the "tropical cyclone."

Tropical cyclones are low pressure systems that have thunderstorm activity and rotate counterclockwise. A tropical

cyclone that has winds of 38 mph (33 kt) or less is called a tropical depression. When the tropical cyclone's winds reach

39-73 mph (34-63 kt), it is called a tropical storm. When the winds exceed 74 mph (64 kt), the storm is considered

to be a hurricane.

The Saffir-Simpson Hurricane Scale defines hurricane strength by categories. A Category 1 storm is the weakest hurricane

(winds 74-95 mph or 64-82 kt); a Category 5 hurricane is the strongest (winds greater than 155 mph or 135 kt).

The category of the storm does not necessarily relate directly to the damage it will inflict. Lower category storms (and

even tropical storms) can cause substantial damage depending on what other weather features they interact with, where

they strike, and how slow they move.

Anatomy of a Hurricane

Typical hurricanes are about 300 miles wide although they can vary considerably in size.

The eye at a hurricane's center is a relatively calm, clear area approximately 20-40 miles across.

The eyewall surrounding the eye is composed of dense clouds that contain the highest winds in the storm.

The storm's outer rainbands (often with hurricane or tropical storm-force winds) are made up of dense bands of

thunderstorms ranging from a few miles to tens of miles wide and 50 to 300 miles long.

Hurricane-force winds can extend outward to about 25 miles in a small hurricane and to more than 150 miles for a large

one. Tropical storm-force winds can stretch out as far as 300 miles from the center of a large hurricane.

Frequently, the right side of a hurricane is the most dangerous in terms of storm surge, winds, and tornadoes.

A hurricane's speed and path depend on complex ocean and atmospheric interactions, including the presence or absence

of other weather patterns. This complexity of the flow makes it very difficult to predict the speed and direction of a hurricane.

Do not focus on the eye or the track–hurricanes are immense systems that can move in complex patterns that are difficult

to predict. Be prepared for changes in size, intensity, speed, and direction.

Hurricane Basics

Answer:

Answer:

hurricane basics

Step-by-step explanation:

A "hurricane" is the most severe category of the meteorological phenomenon known as the "tropical cyclone."

Tropical cyclones are low pressure systems that have thunderstorm activity and rotate counterclockwise. A tropical

cyclone that has winds of 38 mph (33 kt) or less is called a tropical depression. When the tropical cyclone's winds reach

39-73 mph (34-63 kt), it is called a tropical storm. When the winds exceed 74 mph (64 kt), the storm is considered

to be a hurricane.

The Saffir-Simpson Hurricane Scale defines hurricane strength by categories. A Category 1 storm is the weakest hurricane

(winds 74-95 mph or 64-82 kt); a Category 5 hurricane is the strongest (winds greater than 155 mph or 135 kt).

The category of the storm does not necessarily relate directly to the damage it will inflict. Lower category storms (and

even tropical storms) can cause substantial damage depending on what other weather features they interact with, where

they strike, and how slow they move.

Anatomy of a Hurricane

Typical hurricanes are about 300 miles wide although they can vary considerably in size.

The eye at a hurricane's center is a relatively calm, clear area approximately 20-40 miles across.

The eyewall surrounding the eye is composed of dense clouds that contain the highest winds in the storm.

The storm's outer rainbands (often with hurricane or tropical storm-force winds) are made up of dense bands of

thunderstorms ranging from a few miles to tens of miles wide and 50 to 300 miles long.

Hurricane-force winds can extend outward to about 25 miles in a small hurricane and to more than 150 miles for a large

one. Tropical storm-force winds can stretch out as far as 300 miles from the center of a large hurricane.

Frequently, the right side of a hurricane is the most dangerous in terms of storm surge, winds, and tornadoes.

A hurricane's speed and path depend on complex ocean and atmospheric interactions, including the presence or absence

of other weather patterns. This complexity of the flow makes it very difficult to predict the speed and direction of a hurricane.

Do not focus on the eye or the track–hurricanes are immense systems that can move in complex patterns that are difficult

to predict. Be prepared for changes in size, intensity, speed, and direction.

Hurricane Basics

Step-by-step explanation:

Given:

Miguel flip the coin twice

Required:

Possibility for both time we have same side face up

Explanation:

For this first we find the possibility for flip the coin twice and what will face up which are given below

There are two sided on coin first one is heads and second one is tails

In this case we denote heads as H and tails as T

Now the possibility for coin flip for twice

HH

HT

TH

TT

So here total possibilities are 4 and for the same side comes face up is 2

Now use the formula to find the possibility which is given below

Now just put the vales

Final Answer:

The same side will come face up both times have 0.5 possibility means 50% chance to same side face up.

Answer:

66

Step-by-step explanation:

the difference of 54 and 32 is 54 - 32 = 22

the difference of 8 and 5 is 8 - 5 = 3

then

22 × 3 = 66

Using conditional probability, it is found that there is a 0.521 = 52.1% probability that they have perfect attendance, given they made he honor roll.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which:

In this problem, the events are:

The probabilities are given by:

\(P(A) = 0.48, P(A \cap B) = 0.25\)

Hence the conditional probability is given by:

\(P(B|A) = \frac{0.25}{0.48} = 0.521\)

0.521 = 52.1% probability that they have perfect attendance, given they made he honor roll.

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Answer:

60 percent boys 40 percent girls

Step-by-step explanation:

Answer: %48 girls, %52 boys

Step-by-step explanation:

13 boys

12 girls

so,

13*100/25=52

12*100/25=48

Since the lines are paralel within each other both will have the same slope.

Find the slope for the line with the given coordinates using the definition

name the points

point 1 = (8,-4)

point 2 = (4,2)

replace in the definition

The slope of a line parallel to one with the coordinates given is -3/2

Answer:

63.45 x 14=888.3

888.3 + 650 = 1,538.3

Step-by-step explanation:

so, if paid in cash right away, it would cost $650.

if financed the TV then costs 14×$63.45 = $888.30

the charge (including interest) to finance the purchase is the difference :

888.30 - 650 = $238.30

The inequality graphed on the number line can be written as:

-3 ≤ x < 2

Here we can see an inequality graphed on a number line, we can see that we start with a closed circle at x = -3

A closed circle means that x = -3 is a solution.

And we can see that it ends with an open circle at x = 2, the open circle means that the point is not a solution.

Then the inequality thati is shown in the number line is written as:

-3 ≤ x < 2

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

Answer:

51 mg

Step-by-step explanation:

A new health drink has 170​% of the recommended daily allowance​ (RDA) for a certain vitamin. The RDA for this vitamin is 30mg.

The above question is calculated as:

RDA of the vitamin × 170%

The RDA for this vitamin is 30mg

Hence:

30mg × 170%

= 51 mg

Therefore, the milligrams of the vitamin that are in the​ drink is 51 mg

Answer:

x=2

Step-by-step explanation:

To solve this equation combine like terms and move all like terms to the same side. Then, isolate the variable.

First, combine like terms that are on the same side,

-10x+4=-2x-12

Next, move -10x to the other side by adding it to both sides,

4=8x-12

Then, add 12 to both sides as well,

16=8x

Finally, isolate x by dividing the whole equation by 8,

2=x

Answer:

x=2

Step-by-step explanation:

I know the answer is x=2.

First, I set up the equation.

-7x+4-3x=-2x-12

Next, I added like values on each side.

-10x+4=-2x-12

Then, I added 10x to both sides.

4=8x-12

Then, I added 12 to both sides.

16=8x

Next, I divided 8 on both sides.

2=x

To make sure 2 is the true value of x, I inserted 2 to all values of x in the equation. -7(2)+4-3(2)=-2(2)-12. Both sides of the equation are -16. So, 2 is the real value of x in this equation.