Afton made a chicken dish for dinner. She added 10 ounces of vegetables and 14 ounces of rice. What was the total weight of the chicken in the dish?

Proportion of U.S. Population with Brown Eyes = 41% / 100 = 0.41. In a random group of 1200 U.S. people, you would expect approximately 492 people to have brown eyes.

To find the expected number of people with brown eyes in a group of 1200 U.S. people, we need to calculate the proportion of people with brown eyes in the U.S. population and then apply that proportion to the group size.

First, let's calculate the proportion of people with brown eyes in the U.S. population based on the given eye color ratios:

Percentage of U.S. Population with Brown Eyes = 41%

Next, we convert this percentage to a decimal:

Proportion of U.S. Population with Brown Eyes = 41% / 100 = 0.41

Now, we can find the expected number of people with brown eyes in the group of 1200 U.S. people:

Expected Number of People with Brown Eyes = Proportion of U.S. Population with Brown Eyes * Group Size

Expected Number of People with Brown Eyes = 0.41 * 1200 = 492

Therefore, in a random group of 1200 U.S. people, you would expect approximately 492 people to have brown eyes.

For more such questions on proportion , click on:

#SPJ8

Katie completed 15 math problems. That is 5 times as many math problems as Katie completed.

Let's suppose the number of math problems that Katie solved is x.Therefore, 5 times the number of math problems that Katie solved is 5x. Eric completed 75 math problems.So, the expression representing the number of math problems that Eric solved is 75. Hence, the following equation can be written to determine the number of math problems that Katie solved:5x = 75Divide both sides by 5:x = 15Therefore, the number of math problems that Katie solved is 15.

Eric completed 75 math problems. That is 5 times as many math problems as Katie completed. How many math problems did Katie complete?Let's suppose the number of math problems that Katie solved is x.Therefore, 5 times the number of math problems that Katie solved is 5x. Eric completed 75 math problems.So, the expression representing the number of math problems that Eric solved is 75. Hence, the following equation can be written to determine the number of math problems that Katie solved:5x = 75Divide both sides by 5:x = 15Therefore, the number of math problems that Katie solved is 15.

To know more about equation visit :-

https://brainly.com/question/29538993

#SPJ11

In triangle ΔDEF, we are given that ∠F = 90°, EF = 4.9 feet, and DE = 8.3 feet. We need to find the measure of ∠D to the nearest degree.Since ∠F is a right angle (∠F = 90°), triangle ΔDEF is a right triangle.

In a right triangle, the sum of the measures of the two acute angles is always 90°.

Therefore, ∠D + ∠E = 90°.

Since ∠F = 90° and the sum of the angles in a triangle is 180°, we can determine ∠E by subtracting the measures of ∠F and ∠D from 180°.

∠E = 180° - 90° - ∠D

∠E = 90° - ∠D

Now we can use the trigonometric ratio in a right triangle to find the measure of ∠D.

tan(∠D) = opposite/adjacent = EF/DE

tan(∠D) = 4.9/8.3

Using a calculator or trigonometric table, we can find the inverse tangent (arctan) of this ratio:

∠D ≈ arctan(4.9/8.3)

∠D ≈ 32.23°

Therefore, the measure of ∠D to the nearest degree is 32°.

Learn more about triangle here

https://brainly.com/question/17335144

#SPJ11

The given number is 271403. 271403 rounded off to the nearest hundred thousand is 300000. Answer: 300000

Rounding off is a way to make a number easier to work with.

Rounded numbers are an easy way to communicate approximate values.

Rounding a number is done by selecting the closest value to it that is more convenient to work with.

Here, we have to round off 271403 to the nearest hundred thousand.

The digits at the hundred thousand place and beyond will be dropped.

The number 271403 has a digit at hundred thousandth place.

This digit is 2.

Hence, we will look at the digit to its right which is 7.

Since this digit is greater than or equal to 5, we add 1 to 2 which gives us 3.

The hundred thousandth place now has digit 3 and all other digits after that are dropped.

Therefore, 271403 rounded off to the nearest hundred thousand is 300000. Answer: 300000

To know more about number, visit:

https://brainly.com/question/3589540

#SPJ11

271,403 rounded to the nearest hundred thousand is 300,000.

The given number is 271,403.

To round off this number to the nearest hundred thousand, we consider the digits to the left of the hundred thousand digits.

The hundred thousand digit is the fourth digit from the right, which is 1.

We need to round off the number based on the 1 in the hundred thousand's place.

The digit to the right of the hundred thousand digit (i.e., the ten thousand digit) is 4, which is less than 5.

Therefore, we do not add 1 to the hundred thousand digit and we leave it as is.

The digits to the right of the hundred thousand digits are dropped.

Hence, rounding off 271,403 to the nearest hundred thousand is 300,000.

To know more about rounded, visits:

https://brainly.com/question/29022222

#SPJ11

After 2 years, using the given interest rates and compounding frequencies, Sherrie's method results in more money. She would have approximately $216.65, while Harrison would have around $208.08.

To calculate the final amount for each method, we can use the compound interest formula:

A = P(1 + r/n)^(nt)

Where:

A = final amount

P = principal amount

r = interest rate (in decimal form)

n = number of times interest is compounded per year

t = time in years

For Harrison's method:

P = $200

r = 2% = 0.02 (decimal form)

n = 4 (compounded quarterly)

t = 2 years

A = 200(1 + 0.02/4)^(4*2)

A ≈ $208.08

For Sherrie's method:

P = $200

r = 4% = 0.04 (decimal form)

n = 12 (compounded monthly)

t = 2 years

A = 200(1 + 0.04/12)^(12*2)

A ≈ $216.65

She would have approximately $216.65, while Harrison would have around $208.08.

Learn more about interest here: brainly.com/question/30393144

#SPJ11

a) The difference between the carrier's highest data speed (76.9 Mbps) and the mean of all 50 data speeds (17.21 Mbps) is 59.69 Mbps.

b) To determine how many standard deviations the difference found in part (a) represents, we can use the formula: z = (x - μ) / σ, where z is the number of standard deviations, x is the data point, μ is the mean, and σ is the standard deviation. In this case, the difference of 59.69 Mbps can be divided by the standard deviation of 32.78 Mbps to find the number of standard deviations.

c) To convert the carrier's highest data speed (76.9 Mbps) to a z score, we use the formula: z = (x - μ) / σ. By substituting the values into the formula, we can calculate the z score.

d) If we consider data speeds that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, we can compare the z score calculated in part (c) with this range to determine if the carrier's highest data speed is significant. If the z score falls within the range of -2 to 2, it is not considered significantly low or significantly high.

Learn more about standard deviations here: brainly.com/question/29115611

#SPJ11

The profit from selling the DVDs for the ski trip is £850.

To calculate the profit, we need to determine the total revenue and the total cost.

The total revenue is calculated by adding the revenue from selling 300 DVDs at £2 each (£600), the revenue from selling 250 DVDs at £2 each (£500), and the revenue from selling the remaining DVDs at £6 each (£300). This gives us a total revenue of £1,400.

The total cost is calculated by adding the cost of purchasing 300 DVDs (£300) and the cost of purchasing 250 DVDs (£250), which gives us a total cost of £550.

To find the profit, we subtract the total cost (£550) from the total revenue (£1,400), resulting in a profit of £850.

Therefore, the profit from selling the DVDs for the ski trip is £850.

Learn more about calculating profit and revenue here: brainly.com/question/22737091

#SPJ11

The given statement describes a relationship between two angles that are not adjacent, stating that they do not form a linear pair. The different types of logical statementsstatements from this statement are the converse statement, inverse statement, contrapositive statement, and conditional statement.

Converse statement: The converse of a conditional statement switches the hypothesis and the conclusion. In this case, the converse statement would be: If two angles do not form a linear pair, then they are not adjacent.
Inverse statement: The inverse of a conditional statement negates both the hypothesis and the conclusion. The inverse statement would be: If two angles are adjacent, then they form a linear pair.
Contrapositive statement: The contrapositive of a conditional statement switches and negates both the hypothesis and the conclusion. The contrapositive statement would be: If two angles form a linear pair, then they are adjacent.
Conditional statement: The original statement itself is the conditional statement. It follows the form: If two angles are not adjacent, then they do not form a linear pair.
These different logical statements provide alternative ways to express the relationship between angles that are not adjacent and their formation of a linear pair.

Learn more about linear pair here
https://brainly.com/question/1757859



#SPJ11

i) I was proven innocent by virtue of the law.

ii) Don’t leave without your coat.

In sentence (i), the prepositional phrase "by virtue of" introduces the reason or cause for being proven innocent. It indicates that the law is the basis or foundation for the proof.

In sentence (ii), the prepositional phrase "without your coat" indicates the absence or lack of something. It specifies that the action of leaving should not occur unless the person has their coat with them.

Prepositional phrases consist of a preposition (such as "by," "of," or "without") followed by a noun or pronoun object. They provide additional information about location, time, manner, or other relationships in a sentence. Recognizing and understanding prepositional phrases helps in comprehending the structure and meaning of sentences.

learn more about prepositional here:

https://brainly.com/question/1649561

#SPJ11

The most likely next step is 2x = -25.To find the most likely next step, let's analyze the given equations:

Step 1: 6x + 10 - 4x = -4 - 11

Step 2: 6x + 10 - 4x = -15

Step 3: 2x + 10 = -15

In Step 2, the equation simplifies by combining like terms on both sides of the equation, resulting in -15 on the right side.

To proceed, we need to isolate the variable x. In this case, we can continue by subtracting 10 from both sides of the equation:

Step 4: 2x = -15 - 10

Simplifying further:

Step 4: 2x = -25

Therefore, the most likely next step is 2x = -25.

To learn more about equation click here:

brainly.com/question/820236

#SPJ11

An hour before show time, only people are seated for a. According to ticket sales, % of the people have yet to arrive. How many tickets were sold for the ​?

Solution:Since only 200 people are seated for a show an hour before the showtime, the remaining number of people who have yet to arrive can be found by subtracting the number of people who are seated from the total number of tickets sold.Let the total number of tickets sold be t.Then the number of people who have yet to arrive is `t - 200`.The percent of people who have yet to arrive is given to be More than 250 percent. Since percentages cannot be greater than 100%, this is impossible and the problem is incorrectly stated. Therefore, the number of tickets sold cannot be determined from the given information.

To know more about ticket visit:

https://brainly.com/question/32080014

#SPJ11

So, option (d) is the correct answer. A triangle with coordinates F(−2, 3), G(−4, 1), and H(−2, −2) is translated and its image has coordinates F’(0, 0), G’(−2, −2), and H’(0, −5). The correct rule for the translation is (x, y) → (x - 2, y - 3).

Let's find the distance and direction that the triangle is translated. The coordinates of the image are (0,0), (-2,-2) and (0,-5). We are going to get these coordinates from the original coordinates by applying a translation. Consider the vertex F first.The translation takes F to F'. In other words, we go from (-2,3) to (0,0).What did we do to get from F to F'?We subtracted 2 from the x-coordinate and 3 from the y-coordinate. In other words, we applied the rule(x, y) → (x - 2, y - 3)Thus the rule for the translation is (x, y) → (x - 2, y - 3). Therefore, option (d) (x, y) → (x - 2, y - 3) is the correct answer.

First of all, we will plot the coordinates of the initial and final triangle on the coordinate axis and name the initial triangle as FGH and the final triangle as F'G'H'As per the question, the coordinates of initial triangle are F(-2,3), G(-4,1) and H(-2,-2)The coordinates of final triangle are F'(0,0), G'(-2,-2) and H'(0,-5)Now let's find out the horizontal and vertical translation of the initial triangle to get the final triangle. To get F', we have to move 2 units in the right direction and 3 units in the upward direction. Let's see how this can be calculated:F to F' will move 2 units in the right direction and 3 units in the upward direction.-2 → 0 (2 units to the right)-3 → 0 (3 units upward)Therefore, we can say that the rule of translation is (x,y) → (x-2,y-3). So, option (d) is the correct answer.

To know more about triangle  visit :-

https://brainly.com/question/2773823

#SPJ11

Some energy workers are considered to work in the agriculture industry because their work relates to providing power and energy solutions specifically tailored for agricultural processes.

These employees are engaged in the creation and execution of environmentally-friendly energy systems specifically designed for agricultural operations and farming facilities.

One possible rephrased sentence could be: In order to produce renewable energy for farming activities such as irrigation and utilizing machinery, farmers could prioritize the implementation of solar panels, wind turbines, or biomass systems.

Moreover, professionals who work with energy in the agricultural sector can focus on enhancing energy effectiveness, incorporating intelligent farming techniques, or incorporating mechanisms for storing energy.

Their primary objective is to advocate for sustainable farming methods by decreasing dependence on conventional energy sources and advancing ecologically sound alternatives.

Learn more about energy  at: https://brainly.com/question/25748529

#SPJ4

Total cost after 4 years = (2 * X) + (2 * Y) + (2 * Z) + (2 * W).

To determine Shelly's total cost after 4 years of attending community college and transferring to the university, we need to consider the costs associated with each institution separately.

Community College:

Let's assume the cost of tuition per year at the community college is $X.

Shelly will attend the community college for 2 years, so the total cost for tuition at the community college would be 2 * X.

In addition to tuition, there may be other expenses such as textbooks, supplies, and fees. Let's assume these additional expenses for each year at the community college amount to $Y per year. So, the total additional expenses for 2 years would be 2 * Y.

Therefore, the total cost for Shelly's education at the community college for 2 years would be:

Total cost at community college = (2 * X) + (2 * Y)

University:

Let's assume the cost of tuition per year at the university is $Z.

Shelly will transfer to the university for 2 years, so the total cost for tuition at the university would be 2 * Z.

Similarly, there will be additional expenses for each year at the university, which we'll assume amount to $W per year. Thus, the total additional expenses for 2 years at the university would be 2 * W.

Therefore, the total cost for Shelly's education at the university for 2 years would be:

Total cost at university = (2 * Z) + (2 * W)

To calculate the total cost for Shelly's education after 4 years, we sum up the costs at the community college and the university:

Total cost after 4 years = Total cost at community college + Total cost at university

Total cost after 4 years = (2 * X) + (2 * Y) + (2 * Z) + (2 * W)

Please note that the values of X, Y, Z, and W represent the respective costs per year at the community college and the university, and these values are not provided in the question.

To learn more about total cost visit:

brainly.com/question/31517591

#SPJ11

The integers that satisfy the inequality represented on the given number line are -2, -3, -4, -5, -6, -7 and so on.

To find the integers that satisfy the inequality represented on the number line, we need to first identify the inequality from the given number line.

Based on the number line, the inequality can be represented as: x < -1.5 or x is less than -1.5.

This means that all the values that are less than -1.5 on the number line will satisfy this inequality.

We can see that the integers that satisfy the given inequality are -2, -3, -4, -5, -6, -7 and so on.

This is because all these values are less than -1.5.

So, all the integers that are less than -1.5 will satisfy the inequality represented on the given number line.

To know more about line visit:

https://brainly.com/question/2696693

#SPJ11

The chance of finding both turtle doves can be calculated by multiplying the probability of finding the first turtle dove by the conditional probability of finding the second turtle dove given that the first one was found.

Let's denote the event of finding the first turtle dove as A and the event of finding the second turtle dove as B. We are given that the probability of finding A is 0.8 and the conditional probability of finding B given A is 0.6.

The chance of finding both turtle doves can be calculated as follows:

P(A and B) = P(A) * P(B|A)

Substituting the given probabilities, we have:

P(A and B) = 0.8 * 0.6

Calculating the product, we find:

P(A and B) = 0.48

Therefore, the chance of finding both turtle doves is 0.48 or 48%.

To learn more about probability  Click Here: brainly.com/question/31828911

#SPJ11

The cost of the lifetime membership in the movie club is $96.  To find the cost of the lifetime membership, we can subtract the cost of the movies from the total amount paid by Andrea.

The average cost per movie is $16, and she has purchased 24 movies. Therefore, the total cost of the movies is $16 * 24 = $384.

Since the membership fee is included in the average cost per movie, we can calculate the cost of the lifetime membership by subtracting the total cost of the movies from the total amount paid. So, the lifetime membership fee is $384 - ($12 * 24) = $96.

Learn more about average price here:

https://brainly.com/question/3308839

#SPJ11

The Jackson family averaged 22.71 miles per gallon on their trip.

To find out the average miles per gallon used by the Jackson family on their trip, the distance they covered and the amount of fuel they consumed are both necessary information.

They started their trip with an odometer reading of 18,649.3 miles, and the odometer reading at the end of the trip was 20,630.5.

The distance covered, therefore, is:20,630.5 - 18,649.3 = 1,981.2 miles

Next, to determine the average miles per gallon, divide the total distance covered by the amount of fuel consumed:1,981.2 miles ÷ 87.3 gallons

= 22.71 miles per gallon.

To know more about miles visit:

https://brainly.com/question/12665145

#SPJ11

Under the given conditions and assuming an ambient temperature of 20°C, the stagnation temperature on the nose of the X-15 airplane would be approximately 2337.8 Kelvin.

We have,

Let's proceed by assuming a general value for the ambient temperature. We'll use 20°C as an approximation.

Given:

V = 7274.69 km/h

T = 20°C = 20 + 273.15 K = 293.15 K (conversion to Kelvin)

c_p = 1005 J/kg°C

Now we can substitute these values into the total temperature equation:

T(0) = T + (V² / (2 x c(p)))

T(0) = 293.15 K + ((7274.69 km/h)² / (2 x 1005 J/kg°C))

First, we need to convert the velocity from km/h to m/s:

V = 7274.69 km/h x (1000 m/km) / (3600 s/h) ≈ 2026.86 m/s

Now we can calculate the stagnation temperature:

T(0) = 293.15 K + ((2026.86 m/s)² / (2 x 1005 J/kg°C))

T(0) = 293.15 K + (4111017.56 m²/s² / 2010 J/kg°C)

T(0) ≈ 293.15 K + 2044.65 K

T(0) ≈ 2337.8 K

Therefore,

Under the given conditions and assuming an ambient temperature of 20°C, the stagnation temperature on the nose of the X-15 airplane would be approximately 2337.8 Kelvin.

Learn more about ambient temperature here:

https://brainly.com/question/32884941

#SPJ4

To find out how long it takes Tasha to complete the ride, we can use the formula:

Time = Distance / Rate

Let's start by calculating the distance traveled by Kayla. We know that Kayla bikes for 2.25 hours at an average rate of 10.5 mph. So the distance traveled by Kayla can be calculated as:

Distance = Time * Rate = 2.25 hours * 10.5 mph = 23.625 miles

Now, we can calculate the time it takes for Tasha to complete the same distance. Tasha bikes at an average rate of 12.4 mph. Using the formula mentioned above:

Time = Distance / Rate = 23.625 miles / 12.4 mph ≈ 1.906 hours

Rounding to the nearest hundredth, it takes Tasha approximately 1.91 hours (or 1 hour and 54.6 minutes) to complete the ride.

Learn more about Tasha here

https://brainly.com/question/29101503

#SPJ11

The greatest common factor (GCF) of the given expressions 24s^3, 12s^4, and 18s is 6s.

To find the GCF, we need to identify the highest power of each variable (s) that appears in all the expressions. In this case, the highest power of s that appears in all the expressions is s^3.Next, we consider the numerical coefficients. The GCF of the numerical coefficients 24, 12, and 18 is 6.

Finally, we combine the GCF of the numerical coefficients (6) with the highest power of the variable (s^3) to obtain the GCF of the entire expressions, which is 6s^3.Therefore, the greatest common factor of 24s^3, 12s^4, and 18s is 6s^3.

To learn more about Common factor - brainly.com/question/30961988

#SPJ11

To find the sum of 362 and 265, we can choose to either regroup the numbers or not. The decision to regroup depends on the desired approach and the preferred method of addition.

To find the sum of 362 and 265, we can add the digits in each place value column from right to left. Starting with the ones place, 2 + 5 equals 7. Moving to the tens place, 6 + 6 equals 12. Finally, in the hundreds place, 3 + 2 equals 5. Now, we have 527 as the sum of the two numbers.

In this case, we did not need to regroup because the sum of the digits in each place value column did not exceed 9. Regrouping, also known as carrying over, is typically necessary when the sum in a particular column exceeds 9. It involves moving the excess value (tens) to the next column to the left. However, since the sum of 6 and 6 in the tens place is 12, we needed to regroup by carrying over the tens digit to the hundreds place. Therefore, in this scenario, regrouping was not required.

To learn more about regrouping, click here:

brainly.com/question/29637833

#SPJ11

There were 7 students who signed up but did not attend the field trip. There were 36 students who initially signed up to go on the field trip. However, on the day of the trip, only 29 students showed up.

On the day of the field trip, only 29 students were present out of the 36 students who initially signed up.

There were 36 students who initially signed up to go on the field trip. However, on the day of the trip, only 29 students showed up. This means that 7 students who had originally signed up did not attend the trip.

The difference between the initial number of sign-ups (36) and the number of students present (29) gives us the number of students who did not show up:

36 - 29 = 7.

Therefore, there were 7 students who signed up but did not attend the field trip.

Learn more about field trip here

https://brainly.com/question/31279782

#SPJ11

The width of the rectangle is 10 inches, as it is calculated by finding the square root of the ratio of the area to the length.

Let's denote the width of the rectangle as "w" inches. According to the given information, the length of the rectangle is 4 times its width, so the length can be expressed as "4w" inches.

The formula for the area of a rectangle is length multiplied by width. In this case, the area is 400 square inches, so we have the equation:

Area = Length × Width

400 = (4w) × w

400 = 4w^2

To find the width, we can rearrange the equation and solve for "w":

4w^2 = 400

w^2 = 100

w = √100

w = 10

Therefore, the width of the rectangle is 10 inches. This means that the length of the rectangle is 4 times the width, which is 40 inches.

Learn more about Rectangle here: brainly.com/question/29085356

#SPJ11

Answer:

The confidence interval is between 82.3% and 85.7%.

To determine the age of the counsellor, we can set up a system of equations based on the given information. By solving the equations simultaneously, we find that the counsellor is currently 28 years old.

Let's denote the counsellor's present age as x and the campers' age as y. Based on the given information, we can set up the following equations:

Equation 1: x + 4 = 2y

Equation 2: x - 5 = (3/4)(y + 8)

To solve this system of equations, we can substitute the value of x from Equation 1 into Equation 2:

(2y - 4) - 5 = (3/4)(y + 8)

2y - 9 = (3/4)(y + 8)

Multiplying both sides by 4 to eliminate the fraction:

8y - 36 = 3y + 24

5y = 60

y = 12

Substituting the value of y back into Equation 1:

x + 4 = 2(12)

x + 4 = 24

x = 20

Therefore, the counsellor is currently 28 years old.

Learn more about equations here: https://brainly.com/question/29657983

#SPJ11

The degree of the polynomial is 3.True. The degree of the polynomial is determined by the highest power of x, which is 3 in this case.The coefficient of the x^3 term is 2.True. The coefficient of the x^3 term is indeed 2.

The y-intercept is (0, 3).True. The y-intercept is found by setting x = 0, which results in f(0) = 2(0)^3 + 3 = 3.The graph of the function is always increasing.False. The graph of the function may not always be increasing. It depends on the sign of the coefficient of the x^3 term and the values of x. The function is an even function. False. The function is not an even function because it does not exhibit symmetry around the y-axis (i.e., f(-x) ≠ f(x)). The given function is f(x) = 2x^3 + 3. By analyzing the properties of the function and its equation, we can determine the truth or falsehood of each statement. The degree and coefficient of the x^3 term can be identified directly from the equation. The y-intercept is obtained by substituting x = 0. To determine whether the graph is increasing, we would need to examine the derivative or analyze the function's behavior at different intervals. The evenness or oddness of a function can be determined by evaluating f(-x) and comparing it to f(x).

learn more about polynomial here :

https://brainly.com/question/11536910

#SPJ11

To factor the expression, we should first apply difference of squares method. This method is suitable because expression can be written as the difference of two perfect squares, namely (7x^3)^2 - (5y)^2.

The expression 49x^7 - 25y^2 can be rewritten as (7x^3)^2 - (5y)^2, which represents the difference of two perfect squares. The difference of squares method states that for any two perfect squares, say a^2 - b^2, it can be factored as (a + b)(a - b).

In this case, a = 7x^3 and b = 5y. Applying the difference of squares formula, we can factor the expression as follows:

49x^7 - 25y^2 = (7x^3 + 5y)(7x^3 - 5y).

Thus, the first method of factoring to be used for the given expression is the difference of squares method.

To learn more about perfect squares click here : brainly.com/question/385286

#SPJ11

The given function, g(x), is defined piecewise: g(x)=  x+4, & -5 leq x leq -1
2-x, & -1 < x leq 5

To find the value of the function g at different values of x in its domain, we simply need to plug in the value of x into the function. This means that if we know the value of x, we can use the appropriate formula in the piecewise definition to find g(x).

g(-4) when x = -4,  we use the first formula since -5 ≤ -4 ≤ -1:

g(-4) = -4 + 4

g(-4) = 0

Therefore, g(-4) = 0.g(-2)

when x = -2, we use the first formula since -5 ≤ -2 ≤ -1:
g(-2) = -2 + 4

g(-2) = 2
Therefore, g(-2) = 2.g(0)

when x = 0, we use the second formula since -1 < 0 ≤ 5:
g(0) = 2 - 0

g(0) = 2
Therefore, g(0) = 2.g(3)

when x = 3, we use the second formula since -1 < 3 ≤ 5:
g(3) = 2 - 3

g(3) = -1
Therefore, g(3) = -1.g(4)

when x = 4, we use the second formula since -1 < 4 ≤ 5:
g(4) = 2 - 4

g(4) = -2

Therefore, g(4) = -2

The final answers are: g(-4) = 0g(-2) = 2g(0) = 2g(3) = -1g(4) = -2. Therefore, the answer is in 120 words.

To know more about function visit:-

https://brainly.com/question/30594198

#SPJ11

Given that a quadratic equation has a vertical stretch of 4, shift to the left 2 units, and moved up 5 units.In general form the equation for a quadratic function is given by y = ax2 + bx + c

If a is negative, the graph is reflected over the x-axis. And, if a is greater than 1 or less than -1, then the graph will be stretched/compressed in the y-direction and narrow/widen in the x-direction.To obtain the equation for the quadratic function with the given conditions we will use the transformation of quadratic functions. The transformation of a quadratic function

f(x) = ax2 + bx + c

is given by the following formulas:Vertical stretch or compression: g(x) = a · f(x)Horizontal shift:

g(x) = f(x ± h)

Vertical shift: g(x) = f(x) ± k

Therefore, the transformation of

f(x) = ax2 + bx + c to g(x) = a ·

f(x + h) + k is: $$\large

y = a(x-h)^2+k$$Where, a = 4

(vertical stretch), h = 2

(shift to the left) and k = 5

(moved up).Thus, the equation of the quadratic function with the given transformations is:

y = 4(x + 2)² + 5

To know more about quadratic equation visit:

https://brainly.com/question/29538993

#SPJ11