HELPPP PLZZZ IM CONFUSED ON THIS IT DUE IN A LITTLE

HELPPP PLZZZ IM CONFUSED ON THIS IT DUE IN A LITTLE

Answers

Answer 1

Answer:

Disagree

Step-by-step explanation:

y= 4x + 3

y-intercept= 3 -> correct

slope= 4          -> false, the slope on the graph is -4


Related Questions

Last month, Brooklyn worked 255 hours for $750 per hour at her job at the store. How much did she earn the last month

Answers

She earned $191,250 last month

Answer:

191,250

Step-by-step explanation:

Y=750(255)

Need a two column proof for this problem, can't use any parallelogram or quadrilateral theorems, only triangle related and equidistance, altitude, median, and perpendicular bisector related theorems. Thank you!

Need a two column proof for this problem, can't use any parallelogram or quadrilateral theorems, only

Answers

Therefore , We have proved AE ≅ CF in the given quadrilateral .

What is congruence ?

Two figures or objects are said to be congruent in geometry if they are the same size and shape, or if one is the mirror image of the other.

Here,

Statement                                                  

1)AB≅CD , AB║CD ,BF⊥AC and                    

DE⊥AC

2)ABCD  is a parallelogram                  

3)  AD≅BE , AD║BE

4)ΔDAE≅ ΔBCF

5)ΔDAE≅ ΔBCF are right  Δ's

6)  ΔDEA≅ ΔBFC

7)  ΔADE≅ ΔCBF

8)AE ≅ CF

Reasoning

1)Given

2)if a quadrilateral has 1 pair of opposite side both side ≅, ║, then it is a parallelogram

3)In a  parallelogram opposite side are ≅, ║          

4)Alternate interior angles   Δ's are congruent.

5)⊥ segments forms right Δ's.

6)right Δ's. are  ≅.

7)AAS congruency theorem

8)Cpetc

Therefore , We have proved AE ≅ CF in the given quadrilateral .

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3. Determine the slope of the line that has the following coordinates: (-3, 6) (4,-2)
-8/7
8/7
-7/8
12/7

Answers

Answer:

-8/7

Step-by-step explanation:

(-3, 6) & (4,-2)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-2 - 6) / (4 - (-3))

Simplify the parentheses.

= (-2 - 6) / (4 + 3)

= -8 / 7

Simplify the fraction.

= -8/7

This is your slope.

Hope this helps!

9, 18, 12, 9, 13, 22, 8, 23, 16, 17 What is the mode?

Answers

Answer:

9

Step-by-step explanation:

9, 18, 12, 9, 13, 22, 8, 23, 16, 17

Mode is the number that appears most often

Listing numbers in order from smallest to largest helps to see how many of each number

8,9,9,  12, 13,16,17 ,18, 22, 23,

We see the number 9 appears most often

is it possible for a system of lineaf equations to have no solutions

Answers

Yes, because the lines can be parallel.

yes

when equations are parallel

&

when you solve the equations you have

DIFFERENT NUMBERS on either side of the equal sign

for example when you do the math you would end up with something like :

7 = 0

mrviolamath

khan academy

Consider the following closed economy, which we shall call Gazzalestan. C=80+9/10×Y D
I=1800
G=1600
TR=10
T=1/3×Y

If there is a B220 increase in autonomous investment, what is the change in equilibrium real GDP (assuming no change in the price level)? Round to two decimal places and do not enter the currency symbol. If your answer is B6.114, enter 6.11. If your answer is B6.115, enter 6.12. Do not forgot to enter the negative sign, if appropriate. For inquiring minds B is the currency symbol for Bitcoin, which is the official currency of Gazzalestan.

Answers

The change in equilibrium real GDP is B220.

To calculate the change in equilibrium real GDP resulting from an increase in autonomous investment, we need to use the expenditure-output model. In this model, equilibrium real GDP (Y) is determined by the aggregate expenditure (AE), which is the sum of consumption (C), investment (I), government spending (G), and net exports (NX). The equation is:

Y = AE = C + I + G + NX

Given the information provided, let's calculate the initial equilibrium real GDP (Y) using the given values:

C = 80 + (9/10)Y

DI = 1800

G = 1600

TR = 10

T = (1/3)Y

Substituting the values into the equation:

Y = (80 + (9/10)Y) + 1800 + 1600 + 10 - (1/3)Y

Simplifying the equation:

Y = 3490 + (5/6)Y

Multiplying through by 6 to remove the fraction:

6Y = 6(3490) + 5Y

6Y = 20940 + 5Y

Y = 20940

The initial equilibrium real GDP is 20940.

Now, let's calculate the equilibrium real GDP after the B220 increase in autonomous investment (ΔI):

Y' = Y + ΔI

Substituting the values:

Y' = 20940 + B220

Calculating the change in equilibrium real GDP:

Change in Y = Y' - Y

Change in Y = (20940 + B220) - 20940

Change in Y = B220

The change in equilibrium real GDP is B220.

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How large a sample must be obtained to be 94% confident that the truc mean IQV is within 2 points of the sample mean? Round appropriately for this problem

Answers

To be 94% confident that the true mean IQ is within 2 points of the sample mean, you must obtain a sample of at least 199 individuals.

To determine how large a sample must be obtained to be 94% confident that the true mean IQ is within 2 points of the sample mean, we will use the following terms: confidence level, margin of error, and standard deviation. We will also need the z-score corresponding to the desired confidence level.

Step 1: Identify the confidence level, margin of error, and standard deviation
Confidence level: 94%
Margin of error: 2 points
Standard deviation (σ): Since it's not provided, we will use a common value for IQ, which is 15 points.

Step 2: Find the z-score corresponding to the 94% confidence level
A 94% confidence level has a z-score of approximately 1.88 (you can find this value in a z-score table or using a calculator).

Step 3: Use the formula for sample size
n = (z * σ / E\()^2\)
n = (1.88 * 15 / 2\()^2\)
n = (28.2 / 2\()^2\)
n = \((14.1)^2\)
n ≈ 198.81

Step 4: Round appropriately
Since we can't have a fraction of a person in a sample, round up to the nearest whole number. In this case, the sample size should be 199.

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3[-x + (2 x + 1)] = x - 1

what is x

Answers

Answer:

the answer is x=-2 as answer

write an equation that represent the line

write an equation that represent the line

Answers

Answer:

(1,-4) and (3,-5)

-4+5/1-3

1/-2 , so the slope is -1/2

Y intercept is -3.5

ANSWER IS y=-1/2x-3.5

THANKSS :)

Approximate 0.007349 to 3 significant figure​

Answers

Answer:

0.007349 to 3 significant figure=0.00735

Step-by-step explanation:

Approximate 0.007349 to 3 significant figure

Significant figure start from 1 to 9 with the exclusion of 0

From the question above, there are two zeros after the decimal point, so it will be ignored because it is not a significant figure.

0.007349

The first significant number is 7 after 0

The second significant number is 3

The next

The third significant number is 4

The fourth significant number is 9

We want to approximate to three significant figure, so, all figure after 4(third significant figure) will be rounded up or down.

If the numbers are below 5(0, 1,2,3,4) they will be rounded down to 0

If the numbers are above 4(5,6,7,8,9), they will be rounded up to 1

So the number after 4 is 9, therefore it will be rounded up to make 4=5

0.007349 to 3 significant figure=0.00735

which statement concerning the equation x^2+1=2x is true
It’s discriminant is -8 so it has to complex solutions
It’s discriminant is zero, so it has no solutions
It’s discriminant is zero, so it has one real solution
It’s discriminant is -8 so it’s solutions are negative

Answers

It’s discriminant is zero, so it has one real solution statement is true for  x²-2x +1=0.

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The given quadratic equation is x²+1=2x

This can also be written as x²-2x +1=0

a=1, b=-2 and c=1

The expression b² − 4ac is called the discriminant, and can be used to determine whether the solutions are real, repeated, or complex.

(-2)² − 4(1)(1)=4-4

b² − 4ac= 0

A discriminant of zero indicates that the quadratic has a repeated real number solution.

It’s discriminant is zero, so it has one real solution.

Hence, It’s discriminant is zero, so it has one real solution statement is true for  x²-2x +1=0.

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Drag the expressions to the correct functions. Not all expressions will be used.
Consider the functions fand g.
= 4x² + 1
g(x) =
Perform the function compositions:
x² - 3

Answers

The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)).

Let the functions be f(x) = 4x² + 1 and g(x) = x² - 3

The correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and

(g o f)(x) = 16x⁴ + 8x² - 2.

What is composition function?

The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g exists used for the outcome of applying the function f to x.

Given:

f(x) = 4x² + 1 and g(x) = x² - 3

a) (f o g)(x) = f[g(x)]

f[g(x)] = 4(x² - 3)² + 1

substitute the value of g(x) in the above equation, and we get

    = 4(x⁴ - 24x + 9) + 1

simplifying the above equation

    = 4x⁴ - 96x + 36 + 1

    = 4x⁴ - 96x + 37

(f o g)(x) = 4x⁴ - 96x + 37

b) (g o f)(x) = g[f(x)]

substitute the value of g(x) in the above equation, and we get

g[f(x)] = (4x² + 1)²- 3

      = 16x⁴ + 8x² + 1 - 3

simplifying the above equation

      = 16x⁴ + 8x² - 2

(g o f)(x) = 16x⁴ + 8x² - 2.

Therefore, the correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and

(g o f)(x) = 16x⁴ + 8x² - 2.

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Use the formula to find the volume of the figure. Show your work.

Use the formula to find the volume of the figure. Show your work.

Answers

Hello !

Answer:

\(\boxed{\sf V{cone} \approx 2408.55 m^3}\)

Step-by-step explanation:

To find the volume of a cone with the radius of its base and its height, we will apply the following formula:

\( \sf V{cone} = \dfrac{\pi \times r^2 \times h}{3} \)

Where r is the radius of its base and h is its height.

Given:

r = 10 mh = 23 m

Let's substitute our values into the formula:

\(\sf V{cone} = \dfrac{\pi (10)^2(23)}{3} = \dfrac{2300\pi}{3} \ \ \\\boxed{\sf V{cone} \approx 2408.55 m^3}\)

Have a nice day ;)

How many more complete Jacket (S) than complete Jacket (L) can be made in an eighthour hift?

Answers

You can produce four more complete Jacket (S) than complete Jacket (L) in an eight-hour shift.

As a manufacturer, you are trying to find out how many more complete Jacket (S) than complete Jacket (L) can be made in an eight-hour shift. This is a simple mathematical problem that can be solved by finding the difference between the number of Jacket (S) and Jacket (L) that can be produced in a given time frame.

Let's assume that it takes one hour to make one complete Jacket (S) and two hours to make one complete Jacket (L).

In an eight-hour shift, the number of complete Jacket (S) that can be produced is 8 hours divided by 1 hour per Jacket (S) = 8 Jackets (S).

Meanwhile, the number of complete Jacket (L) that can be produced is 8 hours divided by 2 hours per Jacket (L) = 4 Jackets (L).

Therefore, the number of more complete Jacket (S) than complete Jacket (L) that can be made in an eight-hour shift is

=> 8 Jackets (S) - 4 Jackets (L) = 4 Jackets (S).

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how many times can 10 go into 111?

Answers

Answer:

11 times

Step-by-step explanation:

hope this helps

Answer:

11.

Step-by-step explanation:

10 x 10 = 100

10 x 11 = 110

10 x 12 = 120 which is too much so its the one above.

Calculate the area of the red triangle to find the area of the garden. Show your work.
Side A is 90ft
Side B is 120
Side C is 150.

Calculate the area of the red triangle to find the area of the garden. Show your work.Side A is 90ftSide

Answers

Area of a triangle = [B(h)] : 2 = (ab) : 2 = [90ft x 120ft] : 2 = 5400ft squared.

hi there can you please help me

\(t = \sqrt{ \frac{ab - s}{r + ak} } \)

Answers

\(t=\sqrt{\dfrac{ab-s}{r+ak}}\\\\t^2=\dfrac{ab-s}{r+ak}\\\\rt^2+akt^2=ab-s\\\\akt^2-ab=-rt^2-s\\\\a(kt^2-b)=-(rt^2+s)\\\\a=-\dfrac{rt^2+s}{kt^2-b}\\\\a=-\dfrac{rt^2+s}{-(b-kt^2)}\\\\a=\dfrac{rt^2+s}{b-kt^2}\)

You have to write an equation then solve.

You have to write an equation then solve.

Answers

y=2.50x+4
you can ride 7 rides.

I'm sorry I need to do this fast so could you explain this to me

I'm sorry I need to do this fast so could you explain this to me

Answers

Answer:

(a)

• C(x)=88000+5500x

,

• R(x)=7500x

(b)55 times

Explanation:

Let the number of performances = x

• The cost of producing the musical = $88,000

,

• The cost per performance = $5900

(a)Thus, the total cost for x performances:

\(\text{Cost,C(x)}=88000+5900x\)

The revenue per performance is $7500, therefore, the equation for revenue is:

\(R(x)=7500x\)

(b)To break even, the cost must be equal to revenue.

\(\begin{gathered} C(x)=R(x) \\ 88000+5900x=7500x \end{gathered}\)

Next, solve for x.

\(\begin{gathered} 88000=7500x-5900x \\ 88000=1600x \\ x=\frac{88000}{1600} \\ x=55 \end{gathered}\)

The musical must be performed 55 times to break even.

I need to solve for x

I need to solve for x

Answers

Answer:

it's 81 degrees

Step-by-step explanation:

it is equal to other corner

Please Help Me ASAP!!!!

Please Help Me ASAP!!!!

Answers

8x=48 uhhhhhhhhhhhhhhhhhhhhh

Question: Whats 5x(8+8)3(67

Answers

Answer:

16,080

Explanation:

hope its help..... T^T

An ANOVA procedure is used for data obtained from four populations. Four samples, each comprised of 30 observations, were taken from the four populations. The numerator and denominator (respectively) degrees of freedom for the critical value of F areSelect one:A. 3 and 30B. 4 and 30C. 3 and 119D. 3 and 116

Answers

The numerator and denominator is D. 3 and 116.

What is numerator and denominator?

In fractions, the numerator and denominator are the two constituent parts. They comprise fractions, in other words. A fraction's top digit is always referred to as the numerator. It displays the quantity of our parts. A fraction's numerator—the lowest digit—is referred to as the denominator. It displays the overall number of pieces that something can be broken down into.

For an ANOVA procedure with k groups (in this case, k=4), the degrees of freedom for the numerator and denominator of the F-statistic are given by:

- Numerator degrees of freedom: k-1

- Denominator degrees of freedom: n-k, where n is the total sample size (in this case, n=4*30=120)

Therefore, for the given ANOVA procedure with four samples of 30 observations each, the numerator and denominator degrees of freedom for the critical value of F are:

- Numerator degrees of freedom: 4-1 = 3

- Denominator degrees of freedom: 120-4 = 116

So the answer is D. 3 and 116.

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Please no links . What’s the answer ?

Please no links . Whats the answer ?

Answers

Answer:

600 square feet

Step-by-step explanation:

I notice it says "Estimate" in bold. Therefore, you would round all of the measurements. They're all pretty simple to round (to the nearest tens place). From here, you subtract the length of the large room from the length of both rooms. So, 50 - 30 = 20. This is the length of the small room. We now multiply this by the width of the small room (since area of a rectangle is length * width) and we get:

20 * 30 = 600, our final answer

Hope it made sense. I would appreciate Brainliest, but no worries.

i will mark you brainiest if you can answer this

i will mark you brainiest if you can answer this

Answers

Answer:

Step-by-step explanation:

.Specify the quantitative variables and identify the units for this problem. Select all that apply. A. Median age of townMedian age of town​; the units are years B.​City; the units are not specified C. Whether or not the store sells liquorsells liquor​; the units are not specified D. Type of​food; the units are not specified E. Average weekly salesAverage weekly sales​; the units are dollars F. Median income of townMedian income of town​; the units are dollars G. Town areaTown area​; the units are square milessquare miles H. There are no quantitative variables.

Answers

The quantitative variables that can be identified from the problem are Median age of town, Average weekly sales, and Median income of town.

The units for Median age of town is years, Average weekly sales is dollars, and Median income of town is dollars.The remaining options City, Whether or not the store sells liquor, Type of food, and Town area have not specified the units and therefore are not quantitative variables. Quantitative variables are variables that are measured on a numerical scale. The problem in this question provides a list of options and asks to select the options that identify quantitative variables and specify their units. The following quantitative variables can be identified from the problem:Median age of town: Median age of town is a quantitative variable since it is measured in years. The median age of the town is the middle value of the ages of the population of the town. The unit for median age is years since it is a numerical scale that represents the age of the population in years.Average weekly sales: Average weekly sales is a quantitative variable since it is measured in dollars. The average weekly sales represent the mean sales of a store over a week, which can be calculated by dividing the total sales by seven. The unit for average weekly sales is dollars since it is a numerical scale that represents the currency value of sales.Median income of town: Median income of town is a quantitative variable since it is measured in dollars. The median income of the town is the middle value of the income of the population of the town. The unit for median income is dollars since it is a numerical scale that represents the income value of the population.

The units of quantitative variables are essential as they provide a measure of the scale of the variable. In this problem, the quantitative variables identified were Median age of town, Average weekly sales, and Median income of town. The units of these variables are years, dollars, and dollars, respectively. The remaining options do not specify the units and hence cannot be classified as quantitative variables.

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gr 12 calculus find the critical points on the given interval and identify the nature of them

gr 12 calculus find the critical points on the given interval and identify the nature of them

Answers

we have the function

\(f\left(x\right)=2^{x}\cos x\)

Find out the critical points

so

Find out the first derivative

\(f^{\prime}(x)=ln2*2^xcosx-2^xsinx\)

Equate the first derivative to zero

\(\begin{gathered} ln2*2^xcosx-2^xsinx=0 \\ ln2=\frac{2^xsinx}{2^xcosx} \\ \\ ln2=tanx \end{gathered}\)

the value of the tangent is positive

that means

the angle x lies on the I quadrant or III quadrant

but remember that the interval is [0, pi]

therefore

The angle x lies on the quadrant

\(\begin{gathered} tanx=ln2 \\ x=0.2\pi\text{ radians} \end{gathered}\)The critical point is x=0.2pi radians

Find out the second derivative

\(f^{\prime}^{\prime}(x)=ln^22*2^xcosx-ln2*2^{x+1}*sinx-2^xcosx\)

Evaluate the second derivative at x=0.2pi radians

The value of the second derivative is negative

so

The concavity is down

that means

The critical point is a local maximum in the given interval

what's a variable?????????????

Answers

Answer:

In mathematics, a variable is a symbol which functions as a placeholder for varying expression or quantities, and is often used to represent an arbitrary element of a set. In addition to numbers, variables are commonly used to represent vectors, matrices and functions. In science, there is a independent and dependent variable.

Step-by-step explanation:

Answer:

VARIABLE MEANING: A variable is a letter used to describe an unknown number. A quantity that can change or vary, taking on different values. A letter or symbol representing a varying quantity.

CO EFFICIENT MEANING: A number next a variable behind the letter examples: 4m -3x 6y 5w

EXPRESSION MEANING: An expression is a sentence with a minimum of two numbers and at least one math operation. This math operation can be addition, subtraction, multiplication, and division.

TERM MEANING: It's either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or − signs, or sometimes by divide.

How can 2182 be written as the sum of four consecutive whole numbers?

Answers

Answer:

544 + 545 + 546 + 547

explanation: if the numbers are consecutive whole numbers then it would be near the ¼ of the given number

2. In your own words, explain what the identification strategy of difference-in-differences is. What assumption is necessary for a difference-in-difference estimator to be interpreted causally? Graphi

Answers

The difference-in-differences (DiD) identification strategy compares the changes in outcomes between a treatment and control group before and after a treatment to estimate its causal impact.

The identification strategy of difference-in-differences (DiD) is a statistical method used to estimate the causal impact of a treatment or intervention by comparing the changes in outcomes between a treatment group and a control group over time. It allows us to measure the treatment effect by looking at the differences in outcomes before and after the treatment, both for the treated group and the control group, and then comparing these differences.

In a DiD analysis, we typically have two groups: a treatment group that receives the intervention or treatment and a control group that does not receive the intervention. The key idea is to compare the difference in outcomes between the treatment and control groups before the treatment is implemented with the difference in outcomes after the treatment.

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Other Questions
Which of the following scenarios best exemplifies a multiple-baseline design? Select one:a. Bryce is an occupational therapist working with Sandy, a brain-injured patient. Bryce has decided to test the effects of a graphing strategy with Sandy. He starts the graphing technique, while collecting data in the form of minutes of strength training per day. He discontinues the graphing technique still collecting minutes of strength training per day. Bryce then reintroduces the graphing technique.b. Laura has developed a new treatment to increase spatial ability. She randomly assigns students to either her intervention or a control condition. In the treatment condition students engage in working puzzles for twenty minutes a day for 10 days. Unfortunately, students dont like her intervention and refuse to do puzzles for all of the days.c. Mr. Matthews, the school psychologist, is called by the third-grade teacher because one of the students, Seamus, has been referred for a new behavioral intervention plan, in which the teacher uses nonverbal signals as a positive consequence when Seamus engages in appropriate behavior. Mr. Matthews observes Seamuss behavior in the regular classroom and in Art and Music class. He records off-task behavior, calling out, and touching others for eight days.d. Ewa is an athletic trainer at the university. She conducts research on violence in sport. She has designed a study to examine the effects of a new sportsmanship class. She randomly assigns teams by sport to be in either her new class or not. That is, some teams are in the class and others are not. She then compares incidents of violence between groups. Which of the following goods is native to the Americas and was introduced to Europe in the Columbian Exchange?A.bananasB.chocolateC.coffeeD.sugarcane Which type of consumer does photosynthesis: heterotrophs or autotrophs? What consequences might follow if the white brothers dismiss nonviolent action? Balance this equation Fe2O2 + C -> Fe + CO2 Uzupenij rozwizanie podanego rwnania.a) 4x+ 5 = 2x-3 1-5b) 4x - 8 = 6 3x | +84x+5-5=2x-3-54x 8+8 = 6 - 3x + 84x=-3x+1+3x4x = 2x -_- 2x4x - 2x =4x + 3x =1:2 Using the following node definition, implement the Dequeue function. class Node { public: int data; Node* next; }; class Queue { private: Node* first; Node* last; A 120.0 l weather balloon filled with 4.90 mol of helium has a small leak. if the helium leaks at a rate of 10.0 mmol/hr, what is the volume of the balloon after 67.0 hours? Which of the following joint muscles is correctly matched with its lever type? Which of the following joint muscles is correctly matched with its lever type?biceps brachii at the elbow; third-class levertrapezius action on the atlanto-occipital joint; second-class levertriceps brachii at the elbow; third-class levergastrocnemius tendon at the ankle: first-class lever What percentage of the possible offspring will be hybrids? nate walks 11 miles in 4 hours at what unit rate does nate walk How far would people go for love? Can people change for love? Once filled to a volume of 1000 cm3 , the balloon leaks due to the diffusion of helium through the balloon material. The flux of helium across the balloon surface can be expressed as kC, where C is the concentration of gas inside the balloon and k is a mass transfer coefficient with a value of 1x10-7 cm/s. Determine how long it takes for the balloon to shrink to a volume of 500 cm3 . You may treat the balloon as spherical. Boyd has the following utility function: U=100B CWhere B represents books and C represents audio CDs Boyd currently consumes 1 units of good B and 49 units of good C. His total level of utility is (round your answer to one decimal place). Which would he prefer added to his consumption bundle? One more unit of good B or one more unit of good C? One more unit of good would be preferred. The results of Milgram's original obedience experiment demonstrated that: males but not females will obey orders to shock another person most people will not obey orders to harm others in the lab a majority of people will obey orders, even if the orders are unreasonable psychiatrists overestimate the percentage of individuals who will follow orders to harm others in laboratory experiments In the diathesis-stress model, having only diathesis and no stress is called: Predisposition Stress Depression Context which detail from the text supports answer to part a rosa refuses Please help me I am confused What was Dr.Kings perspective about segregation which of the following is acomputer program that detects, prevents. and takes action sto deactivate or remove malicious programmsd The fraction of vacant lattice sites in a solid depends mainly on (choose all that apply): a. The crystal system b. The temperature c. The activation energy required for the formation of vacancy d. The atomic radius