The functions f and g are shown below.


which of the following statements is true.

A: Over the intervals (0,2), The average rate of change of F is greater than that of G. The Y intercept of earth is the same as the Y intercept of G

B: over the intervals (0,2), The average rate of change of F is the same as that of G. The Y intercept of F is less than the Y intercept of G.

C: Over the intervals of (0,2), The average rate of change of F is less than that of G. The Y intercept of F is the same as the Y intercept of G.

D: Over the intervals (0,2) The average rate of change of F is the same as that of G. The Y intercept is greater than the Y intercept of G.

The Functions F And G Are Shown Below. Which Of The Following Statements Is True.A: Over The Intervals

Answers

Answer 1

This question is solved using the concepts of average rate of change and y-intercept.

First, the concepts are presented.Then, the average rate and the y-intercept are found for each of the functions.With the rates for each function, it is possible to find the correct option.

Doing this, the correct option is:

A: Over the intervals (0,2), The average rate of change of F is greater than that of G. The Y intercept of earth is the same as the Y intercept of G

---------------------------

Average rate of change:

The average rate of change of a function f(x) in an interval [a,b] is given by:

\(A = \frac{f(b) - f(a)}{b - a}\)

y-intercept:

The y-intercept of a function is the value of x when y = 0.

-----------------------------------------

Function f:

When \(x = 0\), \(f(0) = 5^{0} - 4 = 1 - 4 = -3\), that is, the y-intercept is -3.

When \(x = 2\), \(f(2) = 5^2 - 4 = 25 - 4 = 21\)

Thus, the average rate of change is:

\(A = \frac{21 - (-3)}{2 - 0} = \frac{24}{2} = 12\)

Function g:

Looking at the graph, when \(x = 0, g(0) = -3\), that is, the y-intercept is -3.

When \(x = 2, g(2) = 12\).

Thus, the average rate of change is:

\(A = \frac{12 - (-3)}{2 - 0} = \frac{15}{2} = 7.5\)

-----------------------------------

Comparison:

Average rate of change: For f is 12, for g is 7.5, so f is greater.y-intercept: For f it is -3, for g it is also -3, so same.

Thus, the correct answer is given by option A.

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Related Questions

Probit coefficients are typically estimatedâ using:
A.
the method of maximum likelihood.
B.
the OLS method.
C.
by transforming the estimates from the linear probability model.
D.
nonlinear least squaresâ (NLLS).

Answers

Probit coefficients are typically estimated using:

A. the method of maximum likelihood.

The method of maximum likelihood is used to estimate the probit coefficients. This method aims to find the coefficients that maximize the likelihood of observing the given sample data. It involves an iterative process to identify the most likely parameter values for the model, making it suitable for nonlinear models like the probit model. Maximum likelihood estimation is a widely used method in econometric analysis due to its desirable properties, such as consistency and asymptotic efficiency.

In summary, probit coefficients are estimated using the method of maximum likelihood, which provides the most accurate and efficient estimates for this type of model.

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What are the first 3 consecutive odd numbers?

Answers

The first 3 consecutive odd numbers are 1,3,5. x and x + 2 are consecutive odd numbers if x is an odd number.

Consecutive numbers are those that always appear in the same order, from smallest to largest.

For instance:

The numbers 1, 2, 3, 4, 5, 6, and so on are consecutive.

consecutive odd numbers:

Let's call the odd number "x." The subsequent term becomes "x + 4" and the next consecutive odd number becomes "x + 2."

Numbers that begin with 1, 3, 5, 7, or 9 are considered odd. 1, 3, 5, 7, 9, 11, 13, 15, and so on are examples of consecutive odd numbers.

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-9(1 - 10n) - 2(3n + 9)

Answers

Step-by-step explanation:

-9(1-10n)-2(3n+9)

-9+90n-6n-18

-9-18+90n-6n

-27+84n

3(-9+28n)

Find the union and the intersection of the given intervals I₁=(-2,2]; I₂=[1,5) Find the union of the given intervals. Select the correct choice below and, if necessary, fill in any answer boxes within your choice A. I₁ UI₂=(-2,5) (Type your answer in interval notation.) B. I₁ UI₂ = ø Find the intersection of the given intervals Select the correct choice below and, if necessary, fill in any answer boxes within your choice. A. I₁ ∩I₂ (Type your answer in interval notation) B. I₁ ∩I₂ = ø

Answers

To find the union and intersection of the intervals I₁ = (-2, 2] and I₂ = [1, 5), let’s consider the overlapping values and the combined range.

The union of two intervals includes all the values that belong to either interval. Taking the union of I₁ and I₂, we have:

I₁ U I₂ = (-2, 2] U [1, 5)

To find the union, we combine the intervals while considering their overlapping points:

I₁ U I₂ = (-2, 2] U [1, 5)
= (-2, 2] U [1, 5)

So the union of the intervals I₁ and I₂ is (-2, 2] U [1, 5).

Now let’s find the intersection of the intervals I₁ and I₂, which includes the values that are common to both intervals:

I₁ ∩ I₂ = (-2, 2] ∩ [1, 5)

To find the intersection, we consider the overlapping range between the two intervals:

I₁ ∩ I₂ = [1, 2]

Therefore, the intersection of the intervals I₁ and I₂ is [1, 2].


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a coin is tossed 18 times. it lands on heads 12 times. what is the experimental probability of the coin landing on tails?

Answers

the experimental probability of the coin landing on tails is 1/3 or approximately 0.33 when expressed as a decimal when coin was flip 18 times and landed on heads 12times


In this case, the coin was flipped 18 times and landed on heads 12 times, so it landed on tails 6 times.

Therefore, the experimental probability of the coin landing on tails is 6/18, which simplifies to 1/3 or approximately 0.33.
. To calculate the experimental probability, follow these steps:

1. Determine the number of successful outcomes (times the coin landed on tails). In this case, the coin was tossed 18 times and landed on heads 12 times, so it must have landed on tails 6 times (18 - 12 = 6).

2. Determine the total number of trials (times the coin was tossed). In this case, it's 18.

3. Calculate the experimental probability by dividing the number of successful outcomes by the total number of trials:
Experimental probability of tails = (Number of tails) / (Total number of tosses) = 6 / 18

4. Simplify the fraction to get the experimental probability:
6 / 18 = 1 / 3

So, the experimental probability of the coin landing on tails is 1/3 or approximately 0.33 when expressed as a decimal.

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Aaron and his 2 friends found some money and split it even. Each received $5.00. How much did they find? a. $1000 b. $100 c. $15 d. $1500

Answers

Answer:

15

Step-by-step explanation:

Aaron and his 2 friends = 3 people

Each received $5.00 = 3 people*5 each = 15 total

Is this correct please check the answer quickly

Is this correct please check the answer quickly

Answers

Answer:

Step-by-step explanation:

No, this is not correct.

Step 1: Find the directional distance from every vertex on the blue image to  the center, Point C.

Point A is 1 unit left and 4 units upwards to Point C.

Point B is 4 units right and 5 units upwards to Point C.

Point C is the center of the dilation, so that point will not change.

Step 2: Apply the scale factor to the directional distances to know the distances of the new images.

The scale factor is 2 so

Point A' should be 2 units left and 8 units upwards to Point C.

Point B' should 8 units right and 10 units upwards to Point C.

Step 3:  Move the point in respect to Point C.

The new image should have the these points.

One point that is 2 units left and 8 units upwards to Point C.

Another point that is Point B' should 8 units right and 10 units upwards to Point C.

One point that coincides  with  Point C.

What is the additive inverse of 6 /- 13?

Answers

The additive inverse of 6 /- 13 is -6 /+ 13, which means that the two numbers have the same magnitude but opposite signs.

The additive inverse of a number is the number that needs to be added to the original number to get a result of zero. In other words, the additive inverse of a number is the opposite of the number in terms of sign. To find the additive inverse of 6 /- 13, we must multiply the negative sign of -13 by -1 to change it to a positive. This means that the additive inverse of 6 /- 13 is -6 /+ 13. This means that the two numbers have the same magnitude but opposite signs. To verify this, we can add the two numbers together. 6 /- 13 + -6 /+ 13 = 0. Therefore, the additive inverse of 6 /- 13 is -6 /+ 13.

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Consider the points p such that the distance from p to a ( 1,5,3) is twice the distance from p to b (6, 2, 2) . show that the set of all such points is a sphere, and find its center and radius

Answers

The set of all such points is a sphere center c = ( 23/3 , 19/3 , 3 ) r = 2√83/9

what is the sphere?

sphere, The collection of points in three dimensions that are all the same distance from the center (the radius) or the outcome of rotating a circle around one of its diameters. A sphere's parts and characteristics are comparable to those of a circle.

The standard form of the equation of a sphere with center (a ,b ,c) and radius r is

( x -a)² + ( y-b)² + ( z - c)² = r²

We let P = ( x, y,z ) be an arbitrary point which satisfies the given conditions. Then

\(\sqrt{(x - 1)^{2} + ( y - 5)^{2} + (z - 3)^{2} } = 2 \sqrt({x - 6)^{2} + ( y - 2 )^{2} +( z - 3)^{2} }\)

Squaring both sides of this equation and simplifying yields

( x - 1)² + ( y - 5)² + ( z -3)² = 4 [ (x - 6)² + ( y- 6 )² + ( z - 3)²

( 3x² - 46x + 143 ) + ( 3y² - 38y + 119 ) + ( 3z² - 18z + 27 ) = 0

Next, we complete the square for each variable to obtain

( x - 23/3)²  + ( y - 19/3)² + ( z - 3 )² = 332/9

Thus the set of all such points P forms a sphere, with

center c = ( 23/3 , 19/3 , 3 ) r = 2√83/9

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What is the common difference for the arithmetic sequence?
3.2, 5, 6.8, 8.6, 10.4

help me please!

Answers

Answer:

the difference is 1.8

Step-by-step explanation:

5-3.2=1.8

6.8-5=1.8

8.6-6.8=1.8

ect

En una fábrica, dos trabajadores llenan envases de gel

antibacterial. El primer trabajador los empaca en grupos de 8

botellas y el segundo en grupos de 12. Si ambos empiezan a

trabajar simultáneamente y lo hacen a la misma velocidad,

¿cuántos envases tendrán que llenar para completar sus

respectivos paquetes al mismo tiempo?

Answers

Responder:

Contenedor 24

Explicación paso a paso:

Para obtener la cantidad de contenedores que deberán llenar para completar sus respectivos paquetes al mismo tiempo; obtener el mínimo común múltiplo de la agrupación adoptada por el primer y segundo trabajador;

Múltiplos de:

8: 8, 16, 24, 32, 40, 48, 56, ...

12:12, 24, 26, 48, 60, ....

Por lo tanto, el mínimo común múltiplo de 8 y 12 es 24.

Llenarán 24 contenedores

hey can someone help me I will give you brainliest !:)

hey can someone help me I will give you brainliest !:)

Answers

Answer:

40 feet

Step-by-step explanation:

You would just need to add the number since perimeter is the total lengths of around the shape.

use properties to rewrite the given equation. which equations have the same solution as 2.3p – 10.1

Answers

The equation that have the same solution is 230p - 1010 = 650p - 400 - p

Which equation have the same solution

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

2.3p - 10.1 = 6.49p - 4

Multiply through the equation by 100

So, we have

230p - 1010 = 649p - 400

Express 649p as 650p - p

So, we have

230p - 1010 = 650p - 400 - p

Hence, the equation is 230p - 1010 = 650p - 400 - p

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Question

use properties to rewrite the given equation. which equations have the same solution as 2.3p - 10.1 = 6.49p - 4

Describe the similarities and differences between a frequency table and a frequency distribution. Be sure to include which requires qualitative data and which is quantitative data.

Answers

Both a frequency table and a frequency distribution are tools used to organize and summarize data, particularly in statistical analysis. They both display the frequency or count of occurrences of each unique value or category in a dataset.

The main difference between a frequency table and a frequency distribution is the type of data they are used to summarize. A frequency table is typically used to display the frequency of occurrence of qualitative or categorical data. It lists the categories or classes of data and the number of observations that fall into each category. For example, a frequency table could display the number of students in a class that received an A, B, C, D, or F grade in a course.

On the other hand, a frequency distribution is typically used to display the frequency of occurrence of quantitative or numerical data. It groups the data into classes or intervals and lists the number of observations that fall into each class or interval. For example, a frequency distribution could display the number of times a coin toss resulted in 0, 1, or 2 heads in a series of 10 tosses.

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I will give 100 points to anyone who can answer my question.

I will give 100 points to anyone who can answer my question.

Answers

Answer:

A system of nonlinear equations is a system where at least one of the equations is not linear. Just as with systems of linear equations, a solution of a nonlinear system is an ordered pair that makes both equations true. In a nonlinear system, there may be more than one solution.

Answer:

The answers are (-10, -4) and (0, 1)

Step-by-step explanation:

The solution to a system of equations is the point where both lines intersect. In this case, all you have to do is mark the points of intersection and look at their coordinates.

Hope this helps!

The sum of 9 times a number and 7 is 6

Answers

Given statement solution is :- The value of the number is -1/9.

Let's solve the problem step by step.

Let's assume the number we're looking for is represented by the variable "x".

The problem states that the sum of 9 times the number (9x) and 7 is equal to 6. We can write this as an equation:

9x + 7 = 6

To isolate the variable "x," we need to move the constant term (7) to the other side of the equation. We can do this by subtracting 7 from both sides:

9x + 7 - 7 = 6 - 7

This simplifies to:

9x = -1

Finally, to solve for "x," we divide both sides of the equation by 9:

9x/9 = -1/9

This simplifies to:

x = -1/9

So, the value of the number is -1/9.

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can someone do this for me please?! Just the answer pls

can someone do this for me please?! Just the answer pls

Answers

Answer:

1. Center: (-4,3) Radius: 4

2. C

3. C (x^2 + (y+4)^2 = 16)

4. 50 miles

Step-by-step explanation:

1. Look up how to read equations of circles

2.Soh Cah Toa

3. equations of circles again

4. Pythagorean Theorem

(PLEASE HELP, ONLY ANSWER IF YOU KNOW) what is the surface area of this design 10in 10in 5 in 5in 8in 2in

(PLEASE HELP, ONLY ANSWER IF YOU KNOW) what is the surface area of this design 10in 10in 5 in 5in 8in

Answers

Answer:

C. 440 in²

Step-by-step explanation:

Area of top and bottom faces:

2(10*10) = 200 in²

Area of front and back faces:

2(10*10 - 8*5) = 2(100 - 40) = 2(60) = 120 in²

Area of left and right faces:

2(10*10 - 8*5) = 2(100 - 40) = 2(60) = 120 in²

Total surface area:

S = 200 + 120*2 = 440 in²

Correct choice is C

The vertices of ∆DEF are D(2,5), E(6,3), and F(4,0). Graph ∆DEF and its image when you translate ∆DEF using the vector (-3,-7)​

Answers

The resulting coordinate of △ D'E'F' is translated by the vector is

(-1, -2),  (3,-4), and (1, -7)

Given the vertices of ∆DEF are D(2,5), E(6,3), and F(4,0).

we are asked to graph ∆DEF and its image when you translate ∆DEF using the vector (-3,-7)​.

If the coordinate of the vertices is translated by the vector (-3, -7), the resulting coordinates of △ D'E'F' will be expressed as:

D'= (2-3, 5 - 7) = (-1,-2)

E' = (6 - 3, 3 - 7) = (3, -4)

F' = (4 -3 , 0 - 7) = (1, -7)

Hence we get the required coordinates of the translated image.

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36,519 divided by 3 (Show work pls)

Answers

Answer:

12173

Step-by-step explanation:

    1 21  73      

3 | 365²19

Long division:

Starting from the first digit of the number being divided (i.e. 36519), move along dividing each digit by 3;

If the digit cannot be divided by 3 perfectly, the remainder should be in the next position of value to the next digit in the sequence, so for the above calculation:

First digit is 3, 3/3 = 1, so write the number 1 above;

There is no remainder so simply move to next digit;

The second digit in the number is 6, 6/3 = 2, so write 2 above, next to the previous 1;

Once again, no remainder so move on;

Third digit is 5, 5/3 = 1 with a remainder of 2, so we write 1 above, next to the previous 2 and the remainder of 2 will be placed before the next digit in the number, which is 1;

Understand, this 2 is not to be added to the digit, like 1 + 2, but rather should be added at the next higher position of value (i.e. multiplied by 10), so it will be 1 + 20, which is 21;

Now, we continue as previously, 21/3 = 7, so 7 should be written above, next to the 1;

There is no remainder, so move on;

Last digit is 9, 9/3 = 3 so this written next to the 7 above;

There is no remainder;

There are no more digits and no remainder to deal with so the division is complete;

The number above is the answer.

need help with surface area​

need help with surface area

Answers

The area surface is “20,736”

What is the distance between -6 1/3 and 4 5/12

Answers

\(10\frac{1}{12}\)  is the distance between  \(-6\frac{1}{3}\) and \(4\frac{5}{12}\)

What is Distance?

The length along a line or line segment between two points on the line or line segment.

Distance=√(x₂-x₁)²+(y₂-y₁)²

We need to find the distance between \(-6\frac{1}{3}\) and \(4\frac{5}{12}\)

The given fractions are mixed fractions we have to convert them to improper fractions

\(-6\frac{1}{3}\) =-17/3

\(4\frac{5}{12}\) =53/12

Now we have to find the difference

53/12-(-17/3)

53/12+17/3

53+68/12

121/12

\(10\frac{1}{12}\)

Hence, \(10\frac{1}{12}\)  is the distance between  \(-6\frac{1}{3}\) and \(4\frac{5}{12}\)

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is 6km is not as far as 6 miles true or false

Answers

Answer:

False.

6 miles is farther than 6 kilometers. One mile is equal to 1.60934 kilometers, so 6 miles is equal to 6 x 1.60934 = 9.65604 kilometers. Therefore, 6 miles is farther than 6 kilometers.

Step-by-step explanation:

The answer is:

true

Work/explanation:

We can't really compare two things if they have different units.

So we need to convert kilometers to miles first.

1 km is approximately equal to 0.621 miles.

So 6 km would be approximately 3.728 miles.

6 miles is further away than 3.728 miles.

Hence, the answer is true.

6 km is not as far as 6 miles. And now we know why.

please help me I need to turn this in now

please help me I need to turn this in now

Answers

The volume of a right circular cone that has a height of 3.5 ft and a radius of 18.9 ft is given as follows:

1308.6 ft³.

How to obtain the volume a cone?

The volume of a cone of radius r and height h is given by the equation presented as follows, which the square of the radius is multiplied by π and the height, and then divided by 3.

V = πr²h/3.

The parameters for the cone in this problem are given as follows:

Radius of r = 18.9 ft.Height of h = 3.5 ft.

Hence the volume of the cone is given as follows:

V = 3.14 x 18.9² x 3.5/3

V = 1308.6 ft³.

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The average number of acres burned by forest and range fires in a large New Mexico county is 4,300 acres per year, with a standard deviation of 750 acres. The distribution of the number of acres burned is normal. What is the probability that between 2,500 and 4,200 acres will be burned in any given year

Answers

Answer:

The probability that between 2,500 and 4,200 acres will be burned in any given year is 0.4345.

ut John pays 25% tax on all his earnings over £20000.
Before tax, his earnings are £38000. How much tax
does he pay?

Answers

Answer: He pays £4500 as tax.

Step-by-step explanation:

Given: John's earnings before tax = £38000 >  £20000

Money over  £20000 =  £38000  - £20000 = £18000

Tax amount = 25% of money over  £20000

⇒Tax amount= 0.25 x (18000 )   [25% = 0.25]

⇒Tax amount=  £ 4500

Hence, he pays £4500 as tax.

is the fraction 7/8 closer to 1 or 0

Answers

Answer:

1

Step-by-step explanation:

7/8 is closer 1 one then 0 because 7/8 is 1/8 away from 8/8 and 8/8s equals 1

help please i give brainliest

help please i give brainliest

Answers

Answer:

75

Step-by-step explanation:

This is an example of a biased sample, because the sample was not chosen at random from the entire population. It is possible that certain groups of people were more likely to have their names drawn from the hat, such as people who were sitting near the person doing the drawing.

To predict how many guests at the party have blonde hair, we can use the proportion of people in the sample who had blonde hair (3 out of 8), and apply it to the entire population of 200 guests:

(3/8) x 200 = 75

Therefore, we can predict that approximately 75 guests at the party have blonde hair.

Answer:

1. Unbiased sample

2. 75

Theresa runs 2/7 of a mile in 1/4 of an hour. How fast does she run per hour?

Answers

Answer:

15/28

Step-by-step explanation:

ALGEBRAIC model that represents the following situation: "A local fair charges an entrance fee of $5, and costs $1.25 per ride.

Answers

Answer:

y = 1.25x + 5

Step-by-step explanation:

The entrance fee is fixed, meaning it does not change. It is $5 for any person that wants to enter.

y = mx + b

only rates that change is dependent on how many rides you go on.

so 1.25 is your slope, m

y = the amount you will spend

x = the amount of rides you go on

b = the cost to enter the fair -- this is fixed.

put the equation together

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