If 3x = y - 5 and x = -4, then y =

plz show work ​

Answers

Answer 1

Answer: y= -7

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

(3)(−4)=y−5

−12=y+−5

−12=y−5

Step 2: Flip the equation.

y−5=−12

Step 3: Add 5 to both sides.

y−5+5=−12+5

y=−7

Answer 2

\(\huge\text{Hey there!}\)

\(\large\textsf{3x = y - 5}\\\\\large\textsf{3(-4) = y - 5}\\\\\large\textsf{3(-4) = \boxed{\bf -12}}\\\\\large\textsf{-12 = y - 5}\\\\\large\textsf{TURN the EQUATION}\\\\\large\textsf{y - 5 = 12}\\\\\large\textsf{ADD 5 to BOTH SIDES}\\\\\large\textsf{y - 5 + 5 = -12 + 5}\\\\\large\textsf{CANCEL out: -5 + 5 because that gives you 0}\\\large\textsf{KEEP: -12 + 5 because that gives you the y-value}\\\\\large\textsf{y = -12 + 5}\\\\\large\textsf{-12 + 5 =\boxed{\bf -7}}\)

\(\boxed{\boxed{\large\textsf{Answer: \huge \bf y = -7}}}\huge\checkmark\)

\(\large\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)


Related Questions

Kim wants to solve the equation 5 3/8 + 2 2/3 How should Kim rewrite the fractions in order to solve for x?

Answers

Answer: Kim should write the fraction in improper form. Then find the least common denominator. Then simplify the answer.

Step-by-step explanation:

43/8 + 8/3

129/24 + 64/24

8 1/24

2) find the equations of the straight lines given the slope m and one point. be prepared to show your work on paper to your teacher. m= -2 point (-1,-2) x1= _______ y1=_____ equation: _________________

Answers

The equation of the straight line is y = -2x - 4, the value of x₁ is -1 and the value of y₁ is -2.

To find the equation of a straight line given its slope and one point, we use the point-slope form of the equation:

−y − y₁​ = m(x−x₁ )

where m is the slope of the line, and (x₁, y₁) is the given point.

In this case, m = -2 and the point is (-1, -2). So we have:

x₁ = -1

y₁ = -2

m = -2

Substituting these values into the point-slope form, we get:

y−(−2)=−2(x−(−1))

Simplifying and rearranging terms, we get the equation of the line:

y + 2 = -2x - 2

y = -2x - 4

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A T-shirt that costs $12 is now on sale for 15% off. What is the sale price of the t-shirt?

Answers

Answer:

$14.18

Step-by-step explanation:

just multiply 12 with 100 for percentage and divide it by 85 because there was 15 percent off and you'll get the answer

Solve the linear system by using Subtraction Elimination.

4x + y = 8
x + y = 5

Answers

Answer:

y =4

x=1

Step-by-step explanation:

in comment

sbajbaaj

(Annulty number of periods) Youve just bought a new flas-screen TV for $3,400 and the stoce you booght it from offers to let you finance the entire purchase at an annual rate of 16 percent compounded monthly. If you take the fnancing and make monthy payments of $140, how long will is take fo poy off the loan? How much will you pay in interest over the Ifo of the loan? a. The number of years it will take to pay of the loan is years. (Round to one decimal place)

Answers

you will pay approximately $11,542 in interest over the life of the loan.

it will take approximately 82.3 months to pay off the loan.

To calculate the number of years, we divide the number of months by 12:

Years ≈ 82.3 / 12 ≈ 6.9 (rounded to one decimal place)

FV = P * [(1 + r)^n - 1] / r

Where:

FV = Future value of the annuity (total amount paid)

P = Monthly payment amount ($140)

r = Monthly interest rate (16% / 12 = 0.16 / 12 = 0.0133)

n = Number of periods (months)

We need to solve for n. Rearranging the formula, we have:

n = log((FV * r) / (P * r + P)) / log(1 + r)

Plugging in the given values:

FV = $3,400

P = $140

r = 0.0133

n = log(($3,400 * 0.0133) / ($140 * 0.0133 + $140)) / log(1 + 0.0133)

Calculating this expression:

n ≈ log(45.22) / log(1.0133)

Using a calculator, we find:

n ≈ 82.3

To calculate the number of years, we divide the number of months by 12:

Years ≈ 82.3 / 12 ≈ 6.9 (rounded to one decimal place)

So, it will take approximately 6.9 years to pay off the loan.

To calculate the total interest paid, we subtract the initial loan amount from the total amount paid:

Total interest = (P * n) - $3,400

Total interest = ($140 * 82.3) - $3,400

Total interest ≈ $11,542

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What are the major differences among the three methods for the evaluation of the accuracy of a classifier: (a) hold-out method, (b) cross-validation, and (c) bootstrap?

Answers

The three methods for the evaluation of the accuracy of a classifier are Hold-out method, Cross-validation, and Bootstrap. The major differences among the three methods are explained below:a) Hold-out method:This method divides the original dataset into two parts, a training set and a test set.

The training set is used to train the model, and the test set is used to evaluate the model's accuracy. The advantage of the hold-out method is that it is simple and easy to implement. The disadvantage is that it may have a high variance, meaning that the accuracy may vary depending on the particular training/test split.b) Cross-validation:This method involves dividing the original dataset into k equally sized parts, or folds. This process is repeated k times, with each fold used exactly once as the test set.

The advantage of cross-validation is that it provides a more accurate estimate of the model's accuracy than the hold-out method, as it uses all of the data for training and testing. The disadvantage is that it may be computationally expensive for large datasets, as it requires training and testing the model k times.c) Bootstrap:This method involves randomly sampling the original dataset with replacement to generate multiple datasets of the same size as the original. A model is trained on each of these datasets and tested on the remaining data.

In conclusion, the hold-out method is the simplest and easiest to implement, but may have a high variance. Cross-validation and bootstrap are more accurate methods, but may be computationally expensive for large datasets.

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i need the answer pleaseee i cant figure out how to do this

i need the answer pleaseee i cant figure out how to do this

Answers

319.62. You get that by multiplying the perimeter. Please mark brainliest if this was helpful and have a blessed day! <3

any list of five real numbers is a vector in set of real numbers r superscript 5ℝ5.

Answers

Yes, any list of five real numbers can be considered a vector in the set of real numbers with dimension 5, denoted as ℝ5.

A vector is a mathematical object that represents a quantity with both magnitude and direction. In the case of ℝ5, this set includes all possible lists of five real numbers, which can be thought of as five-dimensional vectors. Each number in the list represents a component or coordinate of the vector, indicating how far it extends in each of the five dimensions.

Therefore, any list of five real numbers can be considered a vector in the set of real numbers with dimension 5, denoted as ℝ5.


In mathematics, a vector is an element of a vector space, which is a set of objects that can be added together and multiplied by scalars (real numbers). The set ℝ⁵ is a vector space consisting of all 5-tuples (lists) of real numbers, written as (a₁, a₂, a₃, a₄, a₅), where each element aᵢ is a real number. Any list of five real numbers forms a vector in ℝ⁵ because it satisfies the required conditions to be an element of the vector space.

A list of five real numbers is indeed a vector in the set of real numbers ℝ⁵, as it meets the necessary criteria to be a part of the vector space.

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I have tried 18+x divided by two but it won’t work?

I have tried 18+x divided by two but it wont work?

Answers

Answer:

You need to find what x is bro

Step-by-step explanation:

{3x -8y = 29 3x+y=-2 Which ordered pair is the best estimate for the solution to the system?​

Answers

The ordered pair for the solution to the system? of equations is (13/27, - 31/9).

What is a system of equations?A system of equations is a set of one or more equations involving a number of variables.The solutions to systems of equations are the variable mappings such that all component equations are satisfied—in other words, the locations at which all of these equations intersect.

Given is the system of equations as follows -

3x - 8y = 29

3x + y = -2

We have the following system of equations -

3x - 8y = 29

3x + y = -2

We can write -

3x + y = - 2

y = - 2 - 3x

So, we can write the first equation as -

3x - 8y = 29

3x - 8(- 2 - 3x) = 29

3x + 16 + 24x = 29

27x = 29 - 16

27x = 13

x = 13/27

Then, the value of [y] will be -

y = - 2 - 3x

y = - 2 - 3(13/27)

y = - 2 - 13/9

y = - (2 + 13/9)

y = - (18 + 13)/9

y = - 31/9

Therefore, the ordered pair for the solution to the system? of equations is (13/27, - 31/9).

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Are my answer correct? If not explain why.

Are my answer correct? If not explain why.

Answers

Answer:

Step-by-step explanation:

a)

First I will calculate the equation of the line that goes trough the points

C (0, 0) and (-4, 3).

y= mx + b

y = [(3-0)/ (-4 -0) ] x + 0

y = (-3/4)x  →the slope of tis line is (-3/4)

The slope of line l is the negative reciprocal of (-3/4) the slop of line that goes trough points C (0, 0) and (-4, 3) because the lines are ⊥.  

Slope of line l is 4/3

b)

The equation of l is

y= (4/3)x + b

for point (x= -4, y = 3) that belongs to the line l, we have

3 = (4/3) (-4) + b

3 = (-16/3) + b

3 + (16/3) = b

(9+16)/3 = b

25/3 = b

The equation of the line l in slope intercept form is :

y = (4/3)x + (25/3)

c)

The radius of circle C is the distance between C (0, 0) and (-4, 3).

d² = (x2-x1)² +(y2-y2)²

d = √(-4-0)² +(3-0)²

d = √16+ 9

d = 5 → the radius of the circle C is 5

d)

Line l intersects the y-axis at (25/3) as we previously found out.

The radius is 5.

...therefore the distance between the line l's y-intercept and the circumference of the circle is

(25/3 ) - 5  = (25 - 5·3)/3 = 10/3

Can someone plz help me with this one problem plzzzzz !!!

I’M MARKING BRAINLIEST!!!

Can someone plz help me with this one problem plzzzzz !!!IM MARKING BRAINLIEST!!!

Answers

Answer:

7=19

9=23

10=25

Step-by-step explanation:

pls help u with these to ​

pls help u with these to

Answers

Answer:

5 acute

6 acute

3 obtuse

4 obtuse

Step-by-step explanation:

Hope this helps

How many solutions are there for the system of equations shown on the graph?

No solution
One solution
Two solutions
Infinitely many solutions

How many solutions are there for the system of equations shown on the graph? No solutionOne solutionTwo

Answers

Answer:

NO solution

Step-by-step explanation:

mark me brainliest pl

Bobby purchased a brand new car for $23,000 every year the car depreciates 20%. The function f(x)=23,000 × 0.8^x models this situation. How much will the car be worth after 6 years?

Answers

Answer:

that earns 3% interest compounded annually. He ... Is the equation A = 21000(1 – 0.12)'a model of ... (1+0.03)= 1.03 ... The value of a car purchased for $20,000 decreases ... Kathy plans to purchase a car that depreciates. ... B) P= 10,000(0.8) ... YEARS. Wolves d is less than 1! d is more than 11. 1 Growth f(x) = 80(0.1165).

Step-by-step explanation:

Review Questions
1. Cindy is a baker and runs a large cupcake shop. She has already


a. How many workers will the firm hire if the market wage rate is

hired 11 employees and is thinking of hiring a 12th. Cindy esti- $27.95 ? \$19.95? Explain why the firm will not hire a larger or mates that a 12 th worker would cost her $100 per day in wages $ smaller number of units of labor at each of these wage rates. and benefits while increasing her total revenue from $2,600per. day to $2,750 per day. Should Cindy hire a 12 th worker? b. Show this firm Explain. L016.2 c. Now again determine the firm's demand curve for labor. Complete the following labor demand table for a firm that is assuming that it is selling in an imperfectly competitive marhiring labor competitively and selling its product in a competiket and that, although it can sell 17 units at $2.20 per unit, it tive market. L016.2 ginal product of each successive labor unit. Compare this demand curve with that derived in part b. Which curve is more elastic? Explain. 3. Alice runs a shoemaking factory that uses both labor and capital to make shoes. Which of the following would shift the factory's demand for capital? You can select one or more correct answers from the choices shown. LO16.3 a. Many consumers decide to walk barefoot all the time. b. New shoemaking machines are twice as efficient as older machines. c. The wages that the factory has to pay its workers rise due to an economywide labor shortage.

Answers

Cindy should hire the 12th worker as it would result in a net increase in profit, with additional revenue exceeding the cost of hiring. Insufficient information is provided to determine the demand curve for labor or compare its elasticity. Events that would shift the factory's demand for capital include new, more efficient machines and rising wages due to a labor shortage.

a. To determine whether Cindy should hire a 12th worker, we need to compare the additional revenue generated with the additional cost incurred. Hiring the 12th worker would increase total revenue by $150 ($2,750 - $2,600) per day, but it would also increase costs by $100. Therefore, the net increase in total profit would be $50 ($150 - $100). Since the net increase in profit is positive, Cindy should hire the 12th worker.

b. By hiring the 12th worker, Cindy can increase her total revenue from $2,600 per day to $2,750 per day. The additional revenue generated by the 12th worker exceeds the cost of hiring that worker, resulting in a net increase in profit.

c. To determine the firm's demand curve for labor, we need information about the marginal product of labor (MPL) and the wage rates. Unfortunately, this information is not provided, so we cannot complete the labor demand table or derive the demand curve for labor.

Without specific data or information about changes in the quantity of labor demanded and wage rates, we cannot determine which demand curve (from part b or c) is more elastic. The elasticity of the demand curve depends on the responsiveness of the quantity of labor demanded to changes in the wage rate.

The events that would shift the factory's demand for capital are:

a. New shoemaking machines being twice as efficient as older machines would increase the productivity of capital. This would lead to an increase in the demand for capital as the factory would require more capital to produce the same quantity of shoes.

b. The wages that the factory has to pay its workers rising due to an economy-wide labor shortage would increase the cost of labor relative to capital. This would make capital relatively more attractive and lead to an increase in the demand for capital as the factory may substitute capital for labor to maintain production efficiency.

The event "Many consumers decide to walk barefoot all the time" would not directly impact the demand for capital as it is related to changes in consumer behavior rather than the production process of the shoemaking factory.

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0.1588 in scientific notation

Answers

Answer:

\(1.588 \times {10}^{ - 1} \)

Sort the polygons.
Squares Not squares

Answers

Polygons are shapes that have the following:

-sides are all straight

-no overlapping

-shape is always closed

Hope this helps :)

During the last 5 basketball games, Javier scored 13 , 20, 13, 15, and 24 points.
What is the range of the data? *

Answers

Answer:

During the last 5 basketball games, Javier scored 13 , 20, 13, 15, and 24 points

Step-by-step explanation:

Answer:

11 points

Step-by-step explanation:

Range = Highest value - lowest value

Highest value = 24

Lowest value = 13

Range = 24 - 13

Range = 11

The sum of a number and negative three, multiplied by the number? ​

Answers

Answer:

x² - 3

This expression is not linear

Step-by-step explanation:

Let x = unknown number

The sum of a number and negative 3

Sum = addition

We are adding the unknown number "x" and -3

So we have x + (-3) or just x - 3

The sum of that is multiplied by the unknown number

So we get ( x - 3 ) x

We can then simplify this expression to get  x² - 3x

Any expression with an exponent is not linear. Refer to the attached image for more validation. A linear expression would create a straight line. The expression x² - 3x creates a curved line

The sum of a number and negative three, multiplied by the number?

can someone help me with this math problem. what is the area​

can someone help me with this math problem. what is the area

Answers

75•15=1125 (this is the area of the bottom rectangle)

10•25=250 (area of the top rectangle)

Now add those together to get the area of the WHOLE shape 250+1125=1375

Answer:

1,375

Step-by-step explanation:

You can split the problem into two recant angles. 15(75) and 25(10)

45 girls and 30 boys ratio in the lowest terms

Answers

Answer:

3:2

Step-by-step explanation:

45, 30

both divisible by 15, so:

3 : 2

bc :

3*15 = 45

2*15 = 30

Answer: 2/3

Step-by-step explanation: 30÷5; 45÷5= 6/9=2/3

Train A runs back and forth on an east-west section of railroad track. Train A’s velocity, measured in meters per minute, is given by a differentiable function vA(t) where time t is measured in minutes. Selected values for vA(t) are given in the table below.t (Minutes) 0 2 5 8 12vA(t)(meters/minute) 0 100 40 -120 -150Find the average acceleration of train A over the interval 2 ≤ t ≤ 8.

Answers

The average acceleration of Train A over the interval 2 ≤ t ≤ 8 is -40 meters per minute squared.

Explanation:

The average acceleration of a body over a given time interval is defined as the change in velocity divided by the time interval. In this case, we are given the velocity function vA(t) for Train A, and we want to find its average acceleration over the interval 2 ≤ t ≤ 8.

To find the change in velocity over this interval, we can subtract the velocity at t=2 from the velocity at t=8:

Δv = vA(8) - vA(2) = (-120) - 100 = -220 meters per minute

To find the time interval, we can subtract 2 from 8:

Δt = 8 - 2 = 6 minutes

Now we can use the formula for average acceleration:

a = Δv/Δt = (-220)/6 = -40 meters per minute squared

Therefore, the average acceleration of Train A over the interval 2 ≤ t ≤ 8 is -40 meters per minute squared.

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A train leaves Chicago at 6:00 AM, another train leaves Philadelphia at 6:00 AM. Which train will leave first?​

Answers

Answer:

Step-by-step explanation:

6:00 a.m. in Philadelphia comes 1 hour before 6:00 a.m. in Chicago, so it is the Philadelphia train that leaves first.

Suppose that the area above some Z score is 0.31, which when multiplied by 100 equals 31%. What is the term for this quantity

Answers

The term for the quantity obtained by multiplying the area above a Z-score by 100 is known as the "percentile" or "percentile rank." In statistics, percentiles represent the relative position of a particular value within a distribution.

In this case, if the area above a specific Z-score is given as 0.31, it means that 31% of the data falls above that Z-score. When we multiply 0.31 by 100, we get 31, indicating that the Z-score corresponds to the 31st percentile.

The percentile is a measure of the relative standing or rank of a particular value within a dataset. It helps us understand how a given value compares to other values in the distribution. In this context, the 31st percentile suggests that the Z-score is higher than approximately 31% of the other values in the distribution and lower than approximately 69% of the other values.

So, the term for the quantity obtained by multiplying the area above a Z-score by 100 is the "percentile" or "percentile rank." In this case, the specific quantity would be referred to as the 31st percentile or the value corresponding to the 31st percentage point.

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Factor the difference of two cubes
8v^3-27
i’ll give brainliest

Answers


27 - 8v3.........................

Answer:

\(8v^{3} +27=(2v)^{3} +3^{3}=(2v+3)(4v^{2} -6v+9)\\\)

Step-by-step explanation:

from  formula a³ – b³ = (a – b) (a² + ab + b² )

Combine like terms. Your answer should contain decimals. 0.5(x4 − 9) + 15 = Please in 10 mins please

Answers

Answer:

x ≈ ±2.1407

Step-by-step explanation:

0.5(x⁴ - 9) + 15 = 0

Distribute the 0.5 across the parentheses.

0.5x⁴ - 4.5 + 15 = 0

Combine the constants.

0.5x⁴ + 10.5 = 0

Subtract 10.5 from both sides.

0.5x⁴ = -10.5

Divide both sides by 0.5.

x⁴ = 21

Take the fourth root of 21.

⁴√21 ≈ ±2.1407

x ≈ ±2.1407

What are the domain and range of the function (x)=(x-7+g? O domain: x2-7 range: y29 O domain: 27 range: y2-9 domain: 27 range: 29 O domain: 29 range: 27​

What are the domain and range of the function (x)=(x-7+g? O domain: x2-7 range: y29 O domain: 27 range:

Answers

Answer:

the third answer

Step-by-step explanation:

+9 is for range.

(x-7) is for domain. when u take out -7 outside the bracket, it becomes positive

The domain of the function f(x) = √(x - 7) + 9 is all real numbers greater than or equal to 7.

The range of the function f(x) is all real numbers greater than or equal to 9.

Option C is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = √(x - 7) + 9

The domain of a function is the set of all possible input values for which the function is defined.

In this case, since the function involves taking the square root of a quantity, we must have that the argument of the square root is non-negative, that is:

x - 7 ≥ 0

Solving for x, we get:

x ≥ 7

The domain of the function f(x) = √(x - 7) + 9 is all real numbers greater than or equal to 7.

Now,

The range of a function is the set of all possible output values that the function can take.

In this case, we can see that the square root term will always be non-negative, so the minimum value of the function occurs when the square root term is zero, that is, when x = 7.

In that case, we have:

f(7) = √(7 - 7) + 9 = 9

As x increases beyond 7, the square root term increases and the value of the function increases as well, without bound.

The range of the function f(x) is all real numbers greater than or equal to 9.

Thus,

The domain of the function f(x) = √(x - 7) + 9 is all real numbers greater than or equal to 7.

The range of the function f(x) is all real numbers greater than or equal to 9.

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a study was conducted to investigate browsing activity by shoppers. shoppers were classified as nonbrowsers, light browsers, and heavy browsers. for each shopper in the study a measure was obtained to determine how comfortable the shopper was in the store. higher scores indicated greater comfort . assume that the following data are from this study. nonbrowser light browser heavy browser 4 5 5 5 6 7 6 5 5 3 4 7 3 7 4 4 4 6 5 6 5 4 5 7 use a level of significance to test for differences in comfort levels among the three types of browsers.

Answers

A one-way ANOVA test was conducted to test for differences in comfort levels among nonbrowsers, light browsers, and heavy browsers. The result showed a significant difference among the groups with F(2, 21) = 4.85, p = 0.019.

In other words, there is evidence to suggest that there is a difference in comfort levels among nonbrowsers, light browsers, and heavy browsers.

The p-value of 0.019 indicates that the probability of obtaining such a difference by chance alone is less than 2%, which is statistically significant at the 5% level.

The F-test also confirms that there is a significant difference among the groups. Further post-hoc tests can be conducted to determine which groups are significantly different from each other.

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If m = 2n and n = 4 +p, which one of the following formulae is also
true?
m = 6p
m = 8+2p
m = 6+p
m = 4+2p

Answers

Answer:

The answer is m = 8 + 2p.

m = 2n

n = 4 + p

m = 2(4 + p) = 8 + 2p

Therefore, the only formula that is also true is m = 8 + 2p.

Step-by-step explanation:

Answer:

From the given equation-

4(3p+2)−5(6p−1)=2(p−8)−6(7p−4)

⇒12p+8−30p+5=2p−16−42p+24

⇒−18p+13=−40p+8

⇒−18p+40p=8−13

⇒22p=−5

⇒p=

22

−5

.

Step-by-step explanation:

basicly what I said

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PLEASE HELP I WILL GIVE BRAINLIESTFind x and y*image is linked below* Julie has $538 in her bank account. On Monday, she withdrew $218 from her bank account. On Friday, she deposited $49 into herbank account. What is the net change in her bank account balance from before she made her withdrawal on Monday until after herdeposit on Friday? (q003) based on the accounts depicted in this video, we might infer which of the following about migrants coming from somalia and entering the united states? Use the sketch tool to draw a diagram that represents the following situation: Caasi donated $80 to a charity online. The website charged an additional 10% on top of the donation. An fMRI study confirmed capacity of the fetus to hear at ______ into the prenatal period by assessing brain response to auditory stimuli. Multiple choice question. 38 to 39 weeks finish the following implementation of the constructor for class product class product { private: int weight; double price; public: product(); }; //initialize weight with 0 and price with -1 using member initialization list Lisa drew a line through points E(6,5) and F(2,-3). She drew a different line through points G(2,-1) and H(4,-5) what is one of the reasons europe has experienced an influx of immigrants from africa and sw asia? A restaurant sells burritos for $8.00 each. The cost of the meat is $1.50 and the cost of the other ingredients is $1.00 for each burrito. Money made from selling burritos is positive. The cost of making burritos is negative. Profit is the money left after paying the costs. How much profit would the restaurant make by selling 100 burritos? Answer these questions to find out. 1. How much money would the restaurant take in by selling 100 burritos? 2. What is the cost of making one burrito? (Remember that costs are negative.) Explain how you found your answer3. What is the cost of making 100 burritos? 4. What is the profit the restaurant makes from selling 100 burritos? Does the restaurant make money or lose money? Explain. 1. The quality control manager at a light-bulb factory needs to estimate the mean life of a new type of light-bulb. The population standard deviation is assumed to be 39 hours. A random sample of 30 light-bulbs shows a sample mean life of 400 hours. Construct and explain a 95% confidence interval estimate of the population mean life of the new light-bulb.2. In a random sample of 360 men, 18, or older, 165 were married. Construct and explain a 99% confidence interval estimate of the true population proportion of married men, 18 or older.3. A survey of first-time home buyers found that the sample mean annual income was $47,000. Assume that the survey used a sample of 26 first-time home buyers and that the sample standard deviation was $1,050. Compute and explain a 95% confidence interval estimate of the population mean.4. For problem #1 above, what size sample would be needed to achieve a margin of error of 20 hours or less? if y varies inversely as x and y=3 when x=21, find y when x=9 3/4x-3=2/5 rewrite the equation without fractions TRUE/FALSE. 14. the body has very efficient internal defenses which can remove any quantity of an unwanted substance. Which source of error variance does not effect test-retest reliability, but would have an effect on the reliability of a parallel forms test which of the programmed conflict techniques assigns someone in an organization or group to identify potential issues or challenges with a proposed process? Based on the passage Lord of The Flies, write a short essay about what happens after the boy jumps onto the vault. in asch's famous research study, participants agreed with people making an incorrect choice in a line length judgment task. this study is a classic study of what organ is associated with osmoregulation and is made of the glomerulus, tubule, and collecting duct? question 2 options: heart kidney liver stomach successful first movers create a market or a product category. they often benefit from being readily recognizable to consumers and group of answer choices using prototypes to dominate the market. establishing an early market share lead. not needing to do test marketing. motivating laggards to buy their products. not having to pay advertising expenses. What do you look for when determining if a function represents a linear model, exponential model, or quadratic model