a. If the average North Korean farmer produces 1,500 pounds of food per year, what is the opportunity cost, In pounds of food, of North
Korea's army?

______ pounds of food per year

b. If a person needs at least 500 pounds of food per year to survive, how many people could have been fed with the forgone food output?

_____ people

Answer:

the answers would be: A, C, and E

Step-by-step explanation:

Answer:

A,C,E Are the answers

Step-by-step explanation:

Its a,c,e because 5.40 divided by 2 gallons is 2.70. Its C because 3.38 divided by 1.25 gallons is 2.70. Its E because 2.03 divided by 0.75 is 2.70.

Answer:

equation is the answer.

The Taylor series for a function f about x=1 is an infinite sum that represents the function using its derivatives at x=1. It starts with the value of the function at x=1 and includes terms involving higher derivatives multiplied by powers of (x-1) divided by factorials. It allows us to approximate the function near x=1 using a polynomial.

1. The first term, f(1), represents the value of the function at x=1.
2. The subsequent terms involve the derivatives of the function at x=1. The second term, f'(1)(x-1), is the first derivative of f at x=1 multiplied by (x-1).
3. Each subsequent term involves higher derivatives of f at x=1, with each derivative being multiplied by (x-1) raised to a power and divided by the corresponding factorial.

The Taylor series is a way to represent a function as an infinite sum of terms derived from its derivatives at a specific point. In this case, the Taylor series for function f about x=1 is given by f(x) = f(1) + f'(1)(x-1) + f''(1)(x-1)^2/2! + f'''(1)(x-1)^3/3! + ...

Each term involves a derivative of f evaluated at x=1, multiplied by (x-1) raised to a power and divided by the corresponding factorial. By including more terms in the series, we can approximate the function better near x=1 using a polynomial.

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Answer:

Step-by-step explanation:

Lol hi

The percent of attendance figures that differs from the mean by 1500 persons or more is 6.68%.

From the question above, Mean μ = 10,000

Standard Deviation σ = 1,000

The formula for z-score is :

z = (x-μ) / σ

Where, x = observation

z = z-score

Mean μ = 10,000

Standard Deviation σ = 1,000

From the above formula, let's calculate z-score for x = 11,500

z = (x-μ) / σ

z = (11,500 - 10,000) / 1000

z = 1.5

Now, find the probability of attendance figures that differs from the mean by 1500 persons or more.

P(z ≥ 1.5) = 0.0668

To find the percentage, we need to multiply the above value by 100.

P(z ≥ 1.5) × 100 = 0.0668 × 100 = 6.68%

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Answer:

x = 5 , z = 80

Step-by-step explanation:

(7x 45) and (6x + 70) are adjacent angles on a straight line and sum to 180°

7x + 45 + 6x + 70 = 180 , that is

13x + 115 = 180 ( subtract 115 from both sides )

13x = 65 ( divide both sides by 13 )

x = 5

Then

7x + 45 = 7(5) + 45 = 35 + 45 = 80

z and (7x + 45) are vertically opposite angles and are congruent , so

z = 80

Answer:

the sum of -4.82 and 4.35 = -0.47

so a is correct

the product of -4.82 and 4.35 = -20.967

so b is incorrect

the quotient of -4.82 and -4.35 is 1.10804597701

the quotient of 4.82 and 4.35 is 1.10804597701

so c is correct

if we subtract 4.35 from -4.82 we get -9.17

so d is incorrect

Hope This Helps!!!

Using the given conditions that sin(20) = cos(2u) = tan(24) = 3, we can find the exact values of sin(2u), cos(2u), and tan(2u) using the double-angle formulas. By substituting the known values into the formulas, we can determine the exact values of these trigonometric functions.

Given sin(20) = 3, we can use the double-angle formula for sine to find sin(2u).

The double-angle formula for sine is sin(2u) = 2sin(u)cos(u). We know that sin(u) = -3/5, so we can substitute this value into the formula to calculate sin(2u).

Therefore, sin(2u) = 2(-3/5)(cos(u)).

Given cos(2u) = 3, we can use the double-angle formula for cosine to find cos(2u).

The double-angle formula for cosine is cos(2u) = cos^2(u) - sin^2(u). Since we already know sin(u) = -3/5 and cos(u) can be calculated using the Pythagorean identity (cos^2(u) = 1 - sin^2(u)), we can substitute these values into the formula to determine cos(2u).

Finally, given tan(24) = 3, we can use the double-angle formula for tangent to find tan(2u).

The double-angle formula for tangent is tan(2u) = (2tan(u))/(1 - tan^2(u)). By substituting the known value of tan(24) = 3 into the formula, we can calculate the exact value of tan(2u).

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When changing the sign of the constant a from positive to negative, the domain remains the same. But the range changes.

A function's range is the set of all values it can accept, whereas its domain is the set of all values for which it is defined.

Consider the given function f(x)=a|x|. Let us consider "a" takes positive values that is \(a\geq0\). Then, the given function is defined as follows,

\(f(x)=\begin{cases}a(x)=ax}\; &x\geq0\\{a(-x)=-ax\;&x < 0\end{cases}\)

Then, the domain will be \(\text{domain}=\mathbb{R}\{(-\infty, \infty)\) and the range will be given as \(\text{Range} = \text{only non-negative real numbers} = \mathbb{R}^++\{0\}\).

Now let us consider "a" takes negative values that is a<0. Then, the given function is defined the same and the domain will remain the same. But the range will be given as \(\text{Range} = \text{only negative real numbers} = \mathbb{R}^-+\{0\}\).

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Answer:1

Step-by-step explanation:

I found the factors and prime factorization of 38 and 49. The biggest common factor number is the GCF number. So the greatest common factor 38 and 49 is 1

Answer: The greatest common factor is 1

Step-by-step explanation:

49 is not even like 38 so the only one they have together in 1.

Answer:

the process or method of noting or setting down by means of a special system of signs or symbols. the act of noting, marking, or setting down in writing. a note, jotting, or record; annotation: notations in the margin.

Answer:

B and C are wrong

B: 7.89 x 10^-4

C: 3.15 x 10^2

Step-by-step explanation:

B is not written correctly. The purpose of scientific notation is to get rid of the decimal places with 0s. So instead of 0.789, it should be 7.89 x 10^-4

C is wrong, it should be 3.15 x 10^2

a fraction (such as ¹/₂ or ³/₄) in which the numerator and denominator are both integers and are separated by a horizontal or slanted line — compare decimal fraction.

Answer:

-5=0

Step-by-step explanation:

g(4)=8-8-5=-5 you substitute 4 into x

-5=0

First, you factor the equation

(x-1)(x+3)=0

x=1,-3

Hope this helps :)) and btw another resource for this type of question would be desmos graphing calculator where you could just enter in the euqaoitn and get the answer!

Answer:

Here you go!

Step-by-step explanation:

The answer is a 7.29 dollar tip.

Answer:

The total cost will be $43.74

Step-by-step explanation:

To solve the problem we first have to find what is 20% of $36.45.

To do this, multiply 36.45 by .20

36.45 x .20 = 7.29

now that we know how much is the tip, we add that to the bill

36.45 + 7.29 = 43.74

your final answer will be $43.74

Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

The probability is 0.9772. The average age of professors at a certain university is normally distributed with an average of 45.0 years and a standard deviation of 6.0 years.

If 16 professors are chosen at random for a committee, find the probability that the average age of those professors is greater than 42.0 years. We are required to find the probability that the average age of the 16 professors is greater than 42 years. Let us consider the mean of sample means as mu_x = 45 years. The standard error of the mean can be calculated as;  standard error = standard deviation/sqrt(n)`where n = sample size.

Standard error = 6.0/sqrt(16) = 1.5. Therefore, z-score is calculated as; z-score = (sample mean - population mean)/standard error = (42-45)/1.5 = -2. Now, the probability of Z being less than -2 can be found from the z-table as P(Z < -2) = 0.0228. So, the probability that the average age of those professors is greater than 42 years is 1- P(Z < -2) = 1- 0.0228 = 0.9772.

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The area of triangle whose sides are 9 cm 12 cm and 15 cm is 54 cm².

The formula to be used for calculating of the area of triangle is -

A = ✓s(s-a) (s-b) (s-c), where a, b and c are sides of triangle. S is (a+b+c)/2.

Let us assume side a to be 9 cm, side b to be 12 cm and side c to be 15 cm. Calculating the value of s.

s = 9 + 12 + 15/2

Adding values on Right Hand Side of the equation

S = 36/2

Performing division

S = 18

Keep the values in formula of area -

A = ✓18 × (18 - 9) × (18 - 12) × (18 - 15)

Performing subtraction

A = ✓18 × 9 × 6 × 3

Performing multiplication

A = ✓2916

Taking square root

A = 54 cm²

Thus, the area of triangle is 54 cm².

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Answer:

I feel like there is a typo in this question.

But, it should be 70 degrees.

Step-by-step explanation:

All four measurement pairs could be the dimensions of Rectangle B.

If the corresponding components of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.

Since Rectangle B is a scaled copy of Rectangle A, its dimensions will be some multiple of the dimensions of Rectangle A.

The dimensions of Rectangle A are 8 inches by 4 inches. So, Rectangle B could have dimensions of:

4 inches by 2 inches: This is half the length and half the width of Rectangle A, so it is a scaled copy of Rectangle A.

8 inches by 2 inches: This is half the width of Rectangle A, but the same length, so it is also a scaled copy of Rectangle A.

10 inches by 4 inches: This is the same length as Rectangle A, but a little more than double the width, so it is a scaled copy of Rectangle A.

80 inches by 40 inches: This is ten times the length and ten times the width of Rectangle A, so it is also a scaled copy of Rectangle A.

Therefore, all four measurement pairs could be the dimensions of Rectangle B.

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Based on the information provided, it is most likely that Professor Anderson's focus on studying how family relationships change over time aligns with the field of developmental psychology.

Based on the given information, Professor Anderson's focus on studying how family relationships change over time and conducting longitudinal surveys with the same group of participants, it is most likely that Professor Anderson is a developmental psychologist. Developmental psychologists study human development and changes that occur across the lifespan, including familial relationships and their dynamics. They are interested in how individuals grow, change, and interact with others over time.

Developmental psychology is a branch of psychology that focuses on studying human development and changes that occur throughout a person's life span. Developmental psychologists are interested in understanding how individuals grow, change, and develop in various aspects such as physical, cognitive, emotional, and social domains.

In the given scenario, Professor Anderson's research interest revolves around tracking and surveying the same group of participants over a period of two decades to investigate the changes in their relationships with their parents and siblings. This longitudinal approach allows for the examination of how these family relationships evolve over time and provides insights into the developmental processes that influence familial dynamics.

By studying the patterns, trajectories, and factors that contribute to changes in family relationships, Professor Anderson can gain a deeper understanding of human development within the context of family dynamics. This knowledge can have implications for various aspects of individuals' lives, including their mental and emotional well-being, interpersonal relationships, and overall development.

Therefore, according to the information given, Professor Anderson's interest in researching how family connections change over time is most likely in line with the discipline of developmental psychology.

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Answer:

A i think sorry if I'm wrong

Step-by-step explanation:

1/2 x 2/3 should equal 3/4 so it can be b or d

Answer:

$38

Step-by-step explanation:

See attachment

On solving the provide question, we can say that by quadratic equation  number of corn plants in the row are 52 - 4 = 21

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.

number of rows be x.

the number of corn plants = x - 4

So,

\(x(x - 4) = 525\\x^2 - 4x - 525 = 0\\x = 25, x = -21\\\)

number of corn plants in the row are 52 - 4 = 21

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Answer:

50/77

Step-by-step explanation:

(1÷2 3/4)+(1÷3 1/2)

2 3/4 is same as 11/44

1/2 is same as 7/2

so to divide fraction you have to flip the second number and multiply

so 1 times 4/11=4/11

and 1 times 2/7=2/7

4/11 +2/7=28/77+22/77=50/77