(1 point) let =[−9−1] and =[−62]. let be the line spanned by . write as the sum of two orthogonal vectors, in and ⊥ in ⊥.
Answers
[-3, 1] + [2.4, 0, 0.8] is in the direction of , and = [-2.4, 0, -0.8] is orthogonal .
First, we need to find a vector in the direction of , which we can do by taking the difference of the two endpoints:
= - = [-9 - (-6), -1 - (-2)] = [-3, 1]
Next, we need to find a vector that is orthogonal (perpendicular) to . One way to do this is to find the cross product of with any other non-zero vector. Let's choose the vector =[1 0]:
× = |i j k |
|-3 1 0 |
|1 0 0 |
= -1 k - 0 j -3 i
= [-3, 0, -1]
Note that the cross product of two non-zero vectors is always orthogonal to both vectors. Therefore, is orthogonal to .
Thus, the formula for expressing v as the sum of two orthogonal vectors is:
v = v1 + v2
where:
v1 = ((v·u) / (u·u))u
v2 = v - v1
where is the projection of onto , and is the projection of onto . To find these projections, we can use the dot product:
= · / || ||
= [-3, 1] · [-3, 0, -1] / ||[-3, 0, -1]||
= (-9 + 0 + 1) / 10
= -0.8
= × (-0.8)
= [-3, 1] - (-0.8)[-3, 0, -1]
= [-3, 1] + [2.4, 0, 0.8]
Therefore, we have:
= [-3, 1] + [2.4, 0, 0.8] + [-2.4, 0, -0.8]
where = [-3, 1] + [2.4, 0, 0.8] is in the direction of , and = [-2.4, 0, -0.8] is orthogonal to .
for such more question on orthogonal
https://brainly.com/question/24400579
#SPJ11
To express the vector v = [-9, -1] as the sum of two orthogonal vectors, one parallel to the line spanned by u = [-6, 2] and one orthogonal to u, we can use the projection formula.
The parallel component of v, v_parallel, can be obtained by projecting v onto the direction of u:
v_parallel = (v · u) / ||u||^2 * u
where (v · u) represents the dot product of v and u, and ||u||^2 represents the squared magnitude of u.
Let's calculate v_parallel:
v · u = (-9)(-6) + (-1)(2) = 54 - 2 = 52
||u||^2 = (-6)^2 + 2^2 = 36 + 4 = 40
v_parallel = (52 / 40) * [-6, 2] = [-3.9, 1.3]
To find the orthogonal component of v, v_orthogonal, we can subtract v_parallel from v:
v_orthogonal = v - v_parallel = [-9, -1] - [-3.9, 1.3] = [-5.1, -2.3]
Therefore, the vector v = [-9, -1] can be expressed as the sum of two orthogonal vectors:
v = v_parallel + v_orthogonal = [-3.9, 1.3] + [-5.1, -2.3]
v = [-9, -1]
where v_parallel = [-3.9, 1.3] is parallel to the line spanned by u and v_orthogonal = [-5.1, -2.3] is orthogonal to u.
Learn more about vector projection here: brainly.com/question/28971993
#SPJ11
Related Questions
Helpam in fourth I don't know how to do this :(
Answers
Answer:
Step-by-step explanation:
4/1000=0.0004
200/10= 20
8/100=0.08
30/100=3
7/1000=0.0007
6/10=0.6
Given Triangle ABC if sides AB is congruent to side AC, and angle B = 5x +9 , C = 8x-30 Then, find the value of X
Answers
Answer:
x = 13
Step-by-step explanation:
When we say side AB is congruent to Side AC it means both side are the same.
This is written Mathematically as:
AB = AC
We are asked to find x
angle B = 5x +9 , angle C = 8x-30
5x + 9 = 8x - 30
Collect like terms
9 + 30 = 8x - 5x
8x - 5x = 30 + 9
3x = 39
Divide both sides by 3
x = 39/3
x = 13
- Evaluate Sc (y + x – 4ix3)dz where c is represented by: C:The straight line from Z = 0 to Z = 1+ i C2: Along the imiginary axis from Z = 0 to Z = i. = =
Answers
The value of the integral C1 and C2 are below:
∫[C1] (y + x – 4ix³) dz = -1/2 + 4/3 i
∫[C2] (y + x – 4ix³) dz = 0
To evaluate the integral, we need to parameterize the given contour C and express it as a function of a single variable. Then we substitute the parameterization into the integrand and evaluate the integral with respect to the parameter.
Let's evaluate the integral along contour C1: the straight line from Z = 0 to Z = 1 + i.
Parameterizing C1:
Let's denote the parameter t, where 0 ≤ t ≤ 1.
We can express the contour C1 as a function of t using the equation of a line:
Z(t) = (1 - t) ×0 + t× (1 + i)
= t + ti, where 0 ≤ t ≤ 1
Now, we'll calculate the differential dz/dt:
dz/dt = 1 + i
Substituting these into the integral:
∫[C1] (y + x – 4ix³) dz = ∫[0 to 1] (Im(Z) + Re(Z) - 4i(Re(Z))³)(dz/dt) dt
= ∫[0 to 1] (t + 0 - 4i(0)³)(1 + i) dt
= ∫[0 to 1] (t + 0)(1 + i) dt
= ∫[0 to 1] (t + ti)(1 + i) dt
= ∫[0 to 1] (t + ti - t + ti²) dt
= ∫[0 to 1] (2ti - t + ti²) dt
= ∫[0 to 1] (-t + 2ti + ti²) dt
Now, let's integrate each term:
∫[0 to 1] -t dt = [-t²/2] [0 to 1] = -1/2
∫[0 to 1] 2ti dt = \(t^{2i}\)[0 to 1] = i
∫[0 to 1] ti² dt = (1/3)\(t^{3i}\) [0 to 1] = (1/3)i
Adding the results together:
∫[C1] (y + x – 4ix³) dz = -1/2 + i + (1/3)i = -1/2 + 4/3 i
Therefore, the value of the integral along contour C1 is -1/2 + 4/3 i.
Let's now evaluate the integral along contour C2: along the imaginary axis from Z = 0 to Z = i.
Parameterizing C2:
Let's denote the parameter t, where 0 ≤ t ≤ 1.
We can express the contour C2 as a function of t using the equation of a line:
Z(t) = (1 - t)× 0 + t × i
= ti, where 0 ≤ t ≤ 1
Now, we'll calculate the differential dz/dt:
dz/dt = i
Substituting these into the integral:
∫[C2] (y + x – 4ix³) dz = ∫[0 to 1] (Im(Z) + Re(Z) - 4i(Re(Z))³)(dz/dt) dt
= ∫[0 to 1] (0 + 0 - 4i(0)³)(i) dt
= ∫[0 to 1] (0)(i) dt
= ∫[0 to 1] 0 dt
= 0
Therefore, the value of the integral along contour C2 is 0.
In summary:
∫[C1] (y + x – 4ix³) dz = -1/2 + 4/3 i
∫[C2] (y + x – 4ix³) dz = 0
Learn more about integral here:
https://brainly.com/question/31059545
#SPJ11
Only answer if u are sure and make a good explanation
Answers
Answer: the third option
Step-by-step explanation: 0.66666666666 is it in decimal form, the line above the single six just means its the same number over and over again
Answer:
.67 (See explanation for why)
Step-by-step explanation:
2/3
in order to turn this into a whole number, we are going to multiply the bottom number until it becomes any number starting with 1 and ending with a zero. this isnt possible Because 3 is a number that cannot do that.
So instead, we will multiply the number by 333
2*333 = 666
3*333 = 999
666/999 = 2/3
999 is nearly 1000, so lets write the decimal point 3 spaces inwards
.666
which can become
.66
The longer decimal for this(when using a calculator)
would give you
.6666666667
And if we round,
7 is higher than 5, so it becomes .666666667
continue...
Until you have .67
Hope this helps! ^^
Avery has two books and a lunch box in his backpack Each book weighs 7/8 pound. The total weight in his backpack it 2 2/3 pounds. How much does Avery's lunch box weigh?
Answers
The weight of the Avery's lunch box using given weights is equal to 0.92 pounds (rounded to two decimal places).
Total weight of the backpack= 2 2/3 pounds
= 8/3 pounds
The weight of the each book =7/8 pounds.
Let x be the weight of the lunch box in pounds.
An equation that represents the total weight in Avery's backpack,
2(7/8) + x = 8/3
To solve for x, simplify and solve for x,
⇒14/8 + x = 8/3
Multiplying both sides by 24 the least common multiple of 8 and 3 to clear the fractions,
⇒42 + 24x = 64
Subtracting 42 from both sides,
⇒24x = 22
Dividing both sides by 24,
⇒x = 22/24
Simplifying the fraction,
⇒x = 11/12
= 0.92 pounds (rounded to two decimal places).
Therefore, the weight of the lunch box is equal to 0.92 pounds (rounded to two decimal places).
learn more about weight here
brainly.com/question/14315665
#SPJ4
Consider the following equation for profit: P=5X+6Y Subject to: 2X+Y≤120 2X+3Y≤240 X−Y≥0 X,Y≥0 Use either graphical method to solve the problem and then enter the maximum profit below. Do NOT use a dollar sign in your answer - it will be marked wrong!
Answers
The maximum profit will be the highest value obtained among all corner points. To solve the given problem using the graphical method, we first graph the constraints and then identify the feasible region where all constraints are satisfied. Next, we evaluate the profit function at the corner points of the feasible region to find the maximum profit.
The constraints can be graphed as follows:
1. 2X + Y ≤ 120 (represented by a line)
2. 2X + 3Y ≤ 240 (represented by a line)
3. X - Y ≥ 0 (represented by a line)
4. X ≥ 0, Y ≥ 0 (represented by non-negative axes)
By plotting these lines and shading the region where all constraints are satisfied, we obtain a feasible region.
To find the corner points of the feasible region, we locate the intersection points of the constraint lines. We can then evaluate the profit function P = 5X + 6Y at each corner point.
By evaluating the profit function at each corner point, we can determine the maximum profit. The maximum profit will be the highest value obtained among all corner points.
Learn more about equation here : brainly.com/question/29657983
#SPJ11
ASP please
What is the slope of the line on the graph
Answers
Answer: 6
Step-by-step explanation:
Let's look at two points on this line (1, 5), and (0, -1)
Using the slope formula (\(\frac{y_2-y_1}{x_2-x_1}\))
\(\frac{((5) - (-1))}{(1)-(0)}\)
\(\frac{6}{1}\)
Hope it helps :)
Answer:
Well you could count and use the Rise/Run method, or you could use the Slope formula (x2 - x1) / (y2 - y1)
From point (0, -1) to point (1, 6) would look like this
(1 - 0) / (6 + 1) = 1/7, so your slope is 1/7
Since you already have you y-intercept (where x is 0), your whole equation would be this:
y = 1/7x - 1
Solve each equation. 4t = 48
Answers
Wesley is raising monarch caterpillars for a school science project. Every day, he feeds 7 fresh milkweed leaves to each caterpillar. Wesley wants to find out how many caterpillars he can feed in a day with a total of 42 leaves. Write an equation that can be solved for n to find the number of caterpillars he can feed in a day?
Answers
Step-by-step explanation:
Let n be the number of caterpillars.
Since each catepillar eats 7 leaves,
Wesley have 7n number of leaves.
In this case 7n = 42, so n = 6.
Answer: 7n = 42, n = 6.
Explanation:
Every caterpillar eats 7 milkweed leaves. That means \(n\) is the number of caterpillars Wesley feeds every day. Since we know 7n is equal to 42, n = 6 because 42 ÷ 7 = 6.
The equation, 3(3x - 10) = 5(x +10) shows the relationship between the perimeter of an equilateral triangle and the perimeter of a regular pentagon.What is the perimeter of the pentagon?
The equation, 3(3x - 10) = 5(x +10) shows the relationship between the perimeter of an equilateral triangle and the perimeter of a regular pentagon.What is the perimeter of the pentagon?
100
20
50
150
Answers
A Stats test has 5 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 5 questions, what is the probability that you get exactly 2 questions correct
Answers
Answer:
0.0512
Step-by-step explanation:
Probability of making a correct guess ; p = 1 / 5 = 0.2
q = 1 - p = 1 - 0.2 = 0.8
Number of questions, n = 5
Using the binomial probability relation :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 3) = 5C3 * 0.2^3 * 0.8^2
P(x = 3) = 0.0512
please help me :<
Which expressions describe the end behavior of the graph?
SELECT EACH CORRECT ANSWER
if u don't understand this DON'T ANSWER THEIRS MORE THEN ONE ANSWER
Answers
The end behaviour of the graph is as follows:
As x decreases, f(x) approaches the line y = - 2As x increases, f(x) decreases without bound.How to describe end behaviour of a graph?The end behaviour of a function f describes the behaviour of the graph of the function at the "ends" of the x-axis.
Therefore, the end behaviour of a function is the behaviour of the graph of f(x) as x approaches positive infinity or negative infinity.
Hence, the expression that describes the end behaviour of the graph is as follows:
As x decreases, f(x) approaches the line y = - 2As x increases, f(x) decreases without bound.learn more on expression and behaviour of function here: https://brainly.com/question/28753083
#SPJ1
I need help with this question
Answers
Answer:24
Step-by-step explanation: AB= x+8, BC=4x-4. They are equal to each other because B is the midpoint of A and C. therefore, we set them to equal, and simplify to 3x=12.(x+8=4x-4,-x, 8=3x-4, +4, 3x=12 ) That means x = 4, and then we plug that into the equations, getting AB and BC are both 12. We add them together and get 24/
Answer:
Step-by-step explanation:
given: B is the midpoint of AC
so, AB=BC
i,e, x + 8 = 4x - 4
8 + 4 = 4x - x
12 = 3x
12/3 = x
∴ x = 4
so, AB = x + 8 = 4 + 8 = 12
BC = 4x - x =4(4) - 4 = 16 - 4 = 12
12 + 12
о------------о------------о
A B C
AC = AB + BC = 12 + 12 = 24
AC = 24
one of the five quadratics below has a repeated root. (the other four have distinct roots.) what is the repeated root? \begin{align*}
Answers
Form the given five quadratics , the one representing the repeated roots is equal to option d. 25x² - 30x + 9 and repeated roots are 3/5 or 3/5.
Quadratics representing repeated roots has discriminant equals to zero.
Standard quadratic equation is:
ax² + bx + c = 0
Discriminant 'D' = b² - 4ac
option a. -x²+ 18x + 81
Discriminant
'D' = 18² - 4(-1)(81)
= 324 + 324
= 648
D>0 has distinct roots.
option b. 3x²- 3x - 168
Discriminant
'D' = (-3)² - 4(-3)(-168)
= 9 - 2016
= -2007
D< 0 has distinct roots.
option c. x²- 4x - 4
Discriminant
'D' = (-4)² - 4(1)(-4)
= 16 + 16
= 32
D>0 has distinct roots.
option d. 25x²- 30x + 9
Discriminant
'D' = (-30)² - 4(25)(9)
= 900 - 900
= 0
D = 0 has repeated roots.
Repeated roots are:
x = ( -b ±√D ) / 2a
= [-(-30)±√0 ]/ 2(25)
= 30/ 50
= 3/5.
option e. x² - 14x + 24
Discriminant
'D' = (-14)² - 4(1)(24)
= 196 - 96
= 100
D>0 has distinct roots.
Therefore, the quadratics which represents the repeated roots are given by option d. 25x² - 30x + 9 and its repeated roots are 3/5 or 3/5.
The above question is incomplete, the complete question is:
One of the five quadratics below has a repeated root. (There other four have distinct roots.) What is the repeated root?
a. -x²+ 18x + 81
b. 3x² - 3x - 168
c. x² - 4x - 4
d. 25x² - 30x + 9
e. x² - 14x + 24
learn more about quadratics here
brainly.com/question/22364785
#SPJ4
How would you test whether (2,-2) is a solution of the system?
y<-2 x+3
y ≤ x-4
Answers
The (2, -2) is not a solution of the system since it does not satisfy both inequalities simultaneously.
To test whether (2, -2) is a solution of the system, you need to substitute the values of x and y from the point (2, -2) into the inequalities and check if they hold true.
(1). Substituting the values of x = 2 and y = -2 into the first inequality, y < -2x + 3, we get:
-2 < -2(2) + 3 -2 < -4 + 3 -2 < -1
Since -2 is not less than -1, the inequality is not true for the point (2, -2) in the first equation.
(2). Substituting the values of x = 2 and y = -2 into the second inequality, y ≤ x - 4, we get:
-2 ≤ 2 - 4 -2 ≤ -2 Since -2 is less than or equal to -2, the inequality is true for the point (2, -2) in the second equation.
Therefore, (2, -2) is not a solution of the system since it does not satisfy both inequalities simultaneously.
To learn more about inequalities from the given link.
https://brainly.com/question/30238989
#SPJ11
a wire of length 26 m is divided into two pieces and each piece is bent into a square. how should this be done in order to minimize the sum of the areas of the two squares?
Answers
Answer:
A = a/2^2 + b/2^2 where b = 26 - a (a/2 and b/2 sides of square)
A = a^2 / 4 + 1/4 (a^2 - 52 a + 676)
4 * A= 2 a^2 - 52 a + 676
4 dA / da =4 a - 52 = 0
Area will be minimized when a = 13 and b = 13
Check:
n A
13 13 0 84.5
12 14 1 85
11 15 2 86.5
10 16 3 89
9 17 4 92.5
8 18 5 97
7 19 6 102.5
6 20 7 109
5 21 8 116.5
4 22 9 125
3 23 10 134.5
2 24 11 145
1 25 12 156.5
0 26 13 169
78-68+9=
BODMAS
b= brackets
o= orders
d= division division and multiplication left to right
m= multiplication
a= addition
s= subtraction addition and subtraction left to right
Answers
Answer:
29
Step-by-step explanation:
u don't need pemdas for this one
if you subtract first you get 19
if you add first 1
How many elementary events are in the sample space of the experiment of rolling three fair coins? O2 09 O 8 6
Answers
What is the length of the radius of a circle with a center at the origin and a point on the circle at 8 + 15i? 15 17.
Answers
The length of radius from the center is 17cm
What is radius?
The radius of a circle is the distance between the center of the circle to its circumference. The radius is exactly half of the diameter. The formula of the radius can be simply derived by dividing the diameter of the circle by two.
Given, the point from the center is 8+15i
The two points are (0,0) and (8,15)
The formula to find radius is
r = \(\sqrt{(x_2^2-x_1^2)+(y_2^2-y_1^2)}\)
Therefore,
r = \(\sqrt{64+225} =\sqrt{289}\)
r = 17
Therefore, radius =17
To know more about radius, visit:
https://brainly.com/question/8988992
#SPJ4
Explain how to find the distance between 1 and -3 on a number line.
Answers
Answer: Distance can't be negative, so it must be positive. That's the first thing you need to know. To find the distance, you take the difference between the two points.
1 - (-3) = 4
(second point on the number line) - (first point on the number line)
What is the domain (D) and range (R) for f(x) = x2 – 1? The graph f(x) is below.
Answers
An airplane is flying at a constant speed. The airplane descends 450 meters in 9 seconds. Write the speed of the airplane as an integer.
Answers
Answer: Speed = 50meters/ second
Writing as an integer becomes + 50meters/ second 0R 50meters/ second
Step-by-step explanation:
Speed is given as = Distance / Time
distance covered by Airplane = 450 meters
Time = 9 seconds
Therefore, Speed = 450/ 9 = 50 meters/second
Find the measure of
Answers
Answer:
180-43=137....................
The values in this table represent a linear relationship between x and y. What is the rate of change with y with respect to x?
A. 10
B. 17
C. -10
D. -17
Answers
Help for brainlist and 59 thing
Answers
Answer:
1/6 Divide by 2
Step-by-step explanation:
None of the other option make sense.
3.27 Underage drinking, Part II: We learned in Exercise 3.25 that about 69.7% of 18-20 year olds consumed alcoholic beverages in 2008. We now consider a random sample of fifty 18-20 year olds.
(a) How many people would you expect to have consumed alcoholic beverages? (round to one decimal place) What is the standard deviation? (round to two decimal places)
(b) Would you be surprised if there were 45 or more people who have consumed alcoholic beverages?
Yes, 45 out of 50 is 90%
No, it is just as likely as any other outcome
No, 45 or more accounts for six different events -- this wouldn't be surprising
Yes, 45 is more than two standard deviations above the expected value (mean)
(c) What is the probability that 45 or more people in this sample have consumed alcoholic beverages? (round to four decimal places)
Answers
(a) Expected number of people who have consumed alcoholic beverages: 34.9. Standard deviation: 4.20.
(b) Yes, 45 out of 50 people consuming alcoholic beverages would be surprising.
(c) Probability of 45 or more people consuming alcoholic beverages cannot be determined without the exact probability of consuming alcohol for an individual.
(a) To determine the expected number of people who have consumed alcoholic beverages, we can use the percentage from Exercise 3.25. Given that approximately 69.7% of 18-20 year olds consumed alcohol, we can expect that 69.7% of the sample of 50 people would have consumed alcoholic beverages.
Expected number of people = 0.697 * 50 = 34.85 (rounded to one decimal place)
To calculate the Standard deviation, we need to consider the binomial distribution since we have a binary outcome (consumed or not consumed). For a binomial distribution, the standard deviation is given by the formula:
Standard deviation = √(n * p * (1 - p))
where n is the sample size and p is the probability of success (in this case, the probability of consuming alcohol).
Standard deviation = √(50 * 0.697 * (1 - 0.697)) = 4.20 (rounded to two decimal places)
(b) Yes, 45 out of 50 people consuming alcoholic beverages would be surprising because it is more than two standard deviations above the expected value (mean). Typically, events that are more than two standard deviations away from the mean are considered unusual or surprising.
(c) To calculate the probability that 45 or more people in this sample have consumed alcoholic beverages, we can use the binomial probability formula or utilize a binomial calculator. However, without the exact probability of consuming alcohol for an individual, we cannot provide the specific probability.
Learn more about Standard deviation:
https://brainly.com/question/475676
#SPJ11
Find the area of the semicircle
Answers
Answer:
25.13 m
Step-by-step explanation:
pi r²÷2
pi 4²÷2=25.13
The height of a cylinder is 6 in. The diameter of the cylinder is 12 in. What is the
lateral area of the cylinder to the nearest square inch?
Answers
First, we need to find the circumference of the cylinder. The diameter of the cylinder is given as 12 inches, so the radius is half of that, or 6 inches. The formula for the circumference of a circle is C = 2πr, where π is pi (approximately 3.14). Substituting in the values, we get:
Circumference = 2π(6) = 12π inches
Next, we can use the formula for lateral area to find the answer:
Lateral Area = height x circumference
Lateral Area = 6 x 12π
Lateral Area ≈ 113.1 square inches (rounded to the nearest square inch)
Therefore, the lateral area of the cylinder is approximately 113 square inches.
Question content area top Part 1 Two balloons, Balloon A and Balloon B, have a total volume of 3/4 gallon. Balloon A has a greater volume than Balloon B. The difference of their volumes is gallon.1/4 What is the volume of each balloon?
Answers
the volume of Balloon B is 1/4 gallon, and the volume of Balloon A is (1/4) + (1/4) = 1/2 gallon.
What is volume?The volume of a particular 3D object refers to its interior area. For instance, a fish aquarium measures three feet long by one foot wide by two feet high. The volume is calculated by multiplying the length, the breadth, and the height, or 3x1x2, which equals six. The fish tank, therefore, has a 6 cubic foot capacity. These objects can take the form of a cube, cuboid, cone, cylinder, or sphere.
From the Question:
Let's represent the volumes of balloons A and B by the letters "x" and "y," respectively.
The two balloons' combined volume is known to be 3/4 gallon:
x + y = 3/4
We also know that the volume of Balloon A is greater than the volume of Balloon B, so:
x > y
And we are aware that their quantities differ by a quarter gallon:
x - y = 1/4
We can use algebraic manipulation to simultaneously answer these problems.
We can initially focus on "y" in the first equation:
y = 3/4 - x
After that, we may enter the following expression in the second equation in place of "y":
x - (3/4 - x) = 1/4
Simplifying this equation:
2x - 3/4 = 1/4
Adding 3/4 to both sides:
2x = 1
Dividing by 2:
x = 1/2
x - (3/4 - x) = 1/4 Balloon A's volume is 1/2 gallon, so we can use that information to solve the first equation for "y":
1/2 + y = 3/4
y = 1/4
Balloon B's volume is therefore 1/4 gallon while Balloon A's is 1/2 gallon.
To know more about Volume:
brainly.com/question/1578538
#SPJ1
Consider the following current information for Galaxy Inc::
Output = 200 units
ATC = $50
What is the total cost of producing 200 units of output?
a. $10,000
b. $8,000
c. $1,100
d. Non
Answers
The answer is (a) $10,000.
How the total cost of producing 200 units of output can be found?The total cost of producing 200 units of output can be found by multiplying the output (200 units) by the average total cost (ATC) per unit, which is given as $50. Therefore, the total cost is:
Total Cost = Output x ATC
Total Cost = 200 x $50
Total Cost = $10,000
Therefore, the answer is (a) $10,000.
Learn more about average
brainly.com/question/24057012
#SPJ11