Given the function g(x) = 2x2 - 3


Is this statement true or false? g(2) = g(-2)

The scale that she can use for the vertical axis to maximize the difference in the heights of the bars is option c, 10-50.

To maximize the difference in the heights of the bars, she needs to choose a scale that covers the range of values represented by the data while minimizing the unused space on the vertical axis.

Option a, 0-50, would cover the entire range of values but may result in a lot of unused space if the data values are relatively small.

Option b, 0-40, would restrict the range of values and may not fully represent the differences between the heights of the bars.

Option c, 10-50, is a suitable choice as it covers the range of values and allows for differentiation between the heights of the bars. It eliminates unnecessary empty space below 10, focusing on the relevant range of data.

Option d and e, 25-40, restrict the range even further and may not adequately capture the differences between the heights of the bars.

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1/4

I hope this helped! please mark brainliest and vote 5 stars >:)

it is 1/4 because the patten is minus 1

The arrival rate is found to be 30 emails per hour and the service rate is calculated to be 45 emails per hour.

It has been mentioned in the question that in every 2 minutes, customers send emails to a help desk of an online retailer, on an average, and the standard deviation of the inter-arrival time is also given to be 2 minutes. The online retailer has three employees for answering those emails.

It takes almost 4 minutes to write a response email to the customer, on average. The standard deviation (SD) of the service times is 2 minutes. This is a g/g/k type queue.

Therefore the arrival rate per hour is given by the following relation:

Arrival rate in 1 hr = No. of minutes in an hr / inter arrival time of email taken in minutes

Given here,

No. of minutes in an hour = 60 minutes

Inter arrival time of the email taken in minutes = 2 minutes

∴ Arrival rate in 1 hr = 60 / 2

                                = 30 emails / hr

Hence the arrival rate is 30 emails per hour.

Now for finding out the service rate we have the following formula:

Service rate = No. of minutes in an hr x No. of employes answering/ average time that is required to write response email

Given here,

No. of minutes in an hr = 60 minutes

No. of employes answering = 3

Average time that for writing response email = 2 minutes

∴ Service rate = 60 * 3 / 4

                       = 45 emails / hr

Hence the service rate is 45 emails per hour.

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Answer:

Step-by-step explanation:

They're both right angle triangles and have the same length and size , hence congruency

A key feature of function g is that it takes the value of the function f, and adds 4 to it before evaluating it. This means that the output of g is always 4 units greater than the output of f.

Evaluating is the process of making judgments about something based on criteria and evidence. It involves analyzing and assessing the quality or value of something, based on a set of predetermined criteria. Evaluating can be used to assess the quality of a product, a performance, an argument, or any other object or entity. Evaluating requires the use of critical thinking skills and involves asking questions,

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The answer of the given question based on models are , Model 1 = e⁽⁽ˣ⁻³⁾/²⁾ , Model 2 = (x/3)³ - 4 , Model 3 =  (15x-y)/(y-5) .

An inverse function is a function that undoes the effect of another function. Specifically, if a function f maps an input value x to an output value y, then the inverse function f⁻¹ maps the output value y back to the original input value x. In other words, the inverse function "reverses" the mapping of the original function.

In each of these models, the inverse function f⁻¹(x) represents the input value (x) that would yield a particular output value (y) of the original function f(x).

In Model 1, the inverse function f⁻¹(x) is  e⁽⁽ˣ⁻³⁾/²⁾, which represents the number of hours required to produce a certain amount of fresh water. The inverse function allows us to determine how long it would take to produce a specific amount of fresh water, given the rate of production provided by the original function.

In Model 2, the inverse function f⁻¹(x) is (x/3)³ - 4, which represents the number of units of product A needed to generate a certain amount of profit. The cube root function is used to represent the relationship between the profit and the number of units sold. The inverse function allows us to determine how many units need to be sold to achieve a specific level of profit.

In Model 3, the inverse function f⁻¹(x) is (15x-y)/(y-5), where y represents the number of penguins. This function represents the number of years that have passed since 2012 to achieve a certain population of penguins. The rational function is used to represent the relationship between the population of penguins and the number of years that have passed. The inverse function allows us to determine how many years have passed to achieve a specific population of penguins.

Overall, the inverse function provides a way to determine the input value that corresponds to a particular output value of the original function. This information can be useful in understanding the behavior and relationships between variables in each of these models.

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In the standard (x, y) coordinate plane, lines p and q intersect at the point (1, 3), while lines p and r intersect at the point (2, 5).

In the given scenario, lines p and q intersect at the point (1, 3) and lines p and r intersect at the point (2, 5). Each point of intersection represents a solution that satisfies both equations of the respective lines.

The equations of lines p and q can be determined using the point-slope form or any other form of linear equation representation. Similarly, the equations of lines p and r can be determined to find their intersection point.

The coordinates (1, 3) and (2, 5) indicate the precise locations where the lines p and q, and p and r intersect, respectively, on the coordinate plane.

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Answer:

random guess 6 good luck

Step-by-step explanation:

In the given equations using scientific notations the fourth one is true.

Given,

There are some equations with scientific notations;

We have to solve the equations and find them true or false.

This is false. Because,

4.25 × 10⁶ = 4250000

This is false. Because,

6.38 × 10⁹ = 6380000000

This is false. Because,

5.11 × 10⁻² = 0.0511

This is true.

That is,

In the given equations using scientific notations the fourth one is true.

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Answer:

I had this on my school work but i cant go back

Step-by-step explanation:

Answer:

14 feet tall. He decides to make all three outside walls of the porch from screen frames that extend from

Step-by-step explanation:

The probability that the value is at most 2 is 0.8 or 80%. To calculate the probability, we need to sum the individual probabilities of obtaining a value that is at most 2.

According to the given distribution table, the probabilities associated with the values 0, 1, and 2 are 0.4, 0.2, and 0.2, respectively. Adding these probabilities together, we get 0.4 + 0.2 + 0.2 = 0.8, or 80%.

This means that there is an 80% chance that a participant will win a value of 2 or less when spinning the wheel. In other words, if many participants take part in this activity, around 80% of them can expect to win a prize of 2 or lower. It is worth noting that the probability distribution given in the table allows us to calculate the probabilities for each possible outcome, which is essential in determining the overall likelihood of winning different values on the wheel.

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The probability of test tube 2 being in the top middle position on the circular tray is 1/6.

To determine the probability of test tube 2 being in the top middle position on the circular tray, we need to consider the total number of possible arrangements and the number of favorable outcomes.

Since there are six samples randomly arranged on the tray, the total number of possible arrangements is 6!. This means there are 720 different arrangements.

To calculate the number of favorable outcomes, we need to fix test tube 2 in the top middle position. This leaves us with 5 remaining test tubes that can be arranged in any order. The number of arrangements for these 5 test tubes is 5!.

Therefore, the probability of test tube 2 being in the top middle position is (5!)/(6!). Simplifying this, we get 1/6.

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Answer:

2 laborers and 33 ops

Step-by-step explanation:

Given

Let:

L = Laborers

P = Ops

From the statements, we have:

\(L + P = 35\) -- total people hired; and

\(140P + 100L = 4820\) ---number of hirees

Required

Solve for L and P

Make L the subject in: \(L + P = 35\)

\(L = 35 - P\)

Substitute \(L = 35 - P\) in \(140P + 100L = 4820\)

\(140P + 100(35 - P) = 4820\)

\(140P + 3500 - 100P = 4820\)

Collect like terms

\(140P - 100P = 4820 - 3500\)

\(40P = 1320\)

Solve for P

\(P = 1320/40\)

\(P = 33\)

Substitute \(P = 33\) in \(L = 35 - P\)

\(L = 35 - 33\)

\(L = 2\)

Answer:

\(height = \frac{12 - 8}{2} = 2 \\ area = \frac{(12 + 8) \times 2}{2} = 20\)

Answer: The unit rate is 65 miles per hour.

Step-by-step explanation:

775757874875875345634634563456

Answer:

Property of Equality

Step-by-step explanation:

B=D and D=B so they are the same value so its a property of equality

Answer:

B

Step-by-step explanation:

X is the number of hours, which for this question is 11.

So you do X × 8.9 --> 11 × 8.9 = 97.9

Y = 100 - 97.9

Y = 2.1

Therefore the answer is B

Answer:

Step-by-step explanation:

1. Isolate Y by subtracting 6x from both sides.

2. Divide everything by 5, since 5 is the coefficient of Y

Final equation:

Y = \(-\frac{6}{5} x -3\)

Hope this helps!

Answer:

9.85

Step-by-step explanation:

I subtract 17.40 and 7.55 to get 9.85 they just wanted to know how much the pencil cost not erasers.

The cost of each pencil is $1.15.

A system of equations is used when there are two variables, and you are given two pieces of information about how those variables are related.

Given that, A combination of 3 erasers and 5 pencils cost $7.55. A combination of 6 erasers and 12 pencils cost $17.40.

Let e represents eraser and p represents a pencil.

Establishing the equations,

3e+5p = 7.55

6e+12p = 17.40

Solving by elimination, we get,

p = 1.15

Hence, The cost of each pencil is $1.15.

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The estimated height of the tree in this question is 17.9 metres which is 30 metres away from the man having 2 m height

The height of man = 2 m

Angle of elevation of the top of the tree =28 deg

Horizontal distance between the man and the tree is 30 m.

we need to calculate the height of the tree.Let us Assume that the height of the tree be x metres. so the vertical height of tree above man's height will be x-2 units.

The height of the tree can be found by using formula

\( \tan(28) =( x - 2) \div 30 \\ 30 \tan(28) = x - 2 \\ x = 2 + 30\tan(28) \\ x = 17.9 \: metres\)

In this problem we have used the trigonometric ratio tany = perpendicular / base

here in this right angle triangle the perpendicular is x-2

while base is 30 metres.

so by putting the values in the above equation we will get the answer.

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Answer:

If the third side is x, then

The perimeter is 5+19+x.

But every side must be less than the sum of the other

    two sides, so x < 5+19

                  x < 24

Adding 5+19 to both sides to make the left side

equal to the perimeter

 perimeter = x+5+19 < 24+5+19 = 48

So 48 is the smallest whole number that is larger than the

perimeter of any triangle with a side length of 5 and a side

length of 19.

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

40 divided from 20100 divided by 20 is 25

Answer:

2/5

Step-by-step explanation:

40/100

factor

(2*2*2*5)/(2*2*5*5)

cross off like factors

2/5

Answer:

This function is a quadratic.

Explanation:

If you sketch a graph, you will see the points form a U, representing a quadratic function.

If sentence 6 states that ¬C is true, and sentence 7 presents a conditional statement with C as the antecedent and Q as the consequent, we can use modus ponens to infer that Q is false.

Modus ponens is a deductive reasoning rule that allows us to derive a conclusion from a conditional statement and its antecedent. Therefore, we can apply modus ponens to sentence 7 given that we know ¬C from sentence 6.
Since from sentence 6 we know ¬C, we can apply modus ponens to sentence 7. To do this, follow these steps:
1. Identify the premises: One premise is sentence 6, which states ¬C. The other premise should be a conditional statement, such as "If ¬C, then P" (replace P with the relevant proposition).
2. Apply modus ponens: Modus ponens is a rule of inference that allows us to deduce a conclusion from the given premises. If we have the premises "If ¬C, then P" and "¬C", we can conclude "P" using modus ponens.
3. State the conclusion: After applying modus ponens, we can conclude "P" based on the given premises, which include sentence 6 (¬C) and the conditional statement.

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