Name the segments that are skew to AB.
I have attached an image with the diagram and answers.
Answers
Choice B is also eliminated since CD is parallel to AB
Choice C is eliminated because AC intersects AB at point A. Skew lines never cross and they are not parallel in 3D space.
Choice D is the only thing left. The segments EG, DH, CG and FH are all skew to AB. They aren't parallel to AB and they never cross AB
So choice D is the final answer
Answer:
EG, DH, CG, FH
Step-by-step explanation:
The last choice, segments EG, DH, CG and FH, do not cross AB, nor are they parallel to AB. So, they are all skew.
In the first choice, GH is parallel to AB, so it would not be skew. So, this is not the answer.
In the second choice CD is parallel to AB, so it would not be skew. So, this is not the answer.
In the third choice, AC and AB cross, so it would not be skew. So, this is not the answer.
Skew lines do not cross and are not parallel.
Related Questions
Which of the following represents the zeros of the function
g(x) = x3 - 9x2 + 2x + 48 ?
A. x= -8, x= 2 , and x= -3
B. x = 8, x = -2 , and x = 3
C. x = 6, x = -4 , and x = 9
D. x = -6, x = 4 , and x = -9
Answers
Probe some roots. When you use x = - 2
you will have: (-2)^3 - 9(-2)^2 + 2(-2) + 48 = -8 - 36 - 4 + 48 = 0
So, - 2 is a root
From that you can divide x^3 - 9x^2 + 2x + 48 by x + 2 and you will get
x^2 - 11x + 24
Then you can factor that: (x - 8)(x - 3)
So, the three roots are x = - 2, x = 3 and x = 8, which is the option B.
Answer: option B. x = 8, x = -2 , and x = 3
A line has a slope of -2/3 and a y-intercept of (0, 3). What is the value of y when x = 4?
Answers
ahemmm so, we know the slope, and we also know the y-intercept, thus the equation of that line is
[tex]\bf y=\stackrel{slope}{-\cfrac{2}{3}}x\stackrel{y-intercept}{+3} \\\\\\ \textit{when x = 4, what is \underline{y}?}\qquad y=-\cfrac{2}{3}(4)+3\implies y=-\cfrac{8}{3}+3 \\\\\\ y=\cfrac{-8+9}{3}\implies y=\cfrac{1}{3}[/tex]
Benny wants to put a rectangular fence in his yard, and he wants the length of the fence to be 5 less feet than twice its width. He also found that every foot of fencing will cost $3.16. The total cost of the fence is C = 3.16(6w - 10), where w is the width of the fence. What does 6w - 10 represent?
Answers
Some luggage pieces have wheels and a handle so that the luggage can be pulled along the ground. Suppose the length from the bottom of the bag to the place on the floor perpendicular to the hand on the bag is 14 inches, and the length of the bag with its handle is 19 inches. At which angle made by the bag and the floor would it be comfortable to roll the bag?
Answers
The trigonometric ratio cosine, relates the angle with those lengths:
cos(angle) = adjacent-leg / hypotenuse = 14 / 19
=> angle = arc cosine (14/19) = 42.5°
Answer: 42.5°
There are 365,493 blue pens in a warehouse and 549384 black pens how many pens are there in all
Answers
365,493+549,384
Your answer would be 366,042.384
I hope this helps!
Over the last three evenings, Raina received a total of 83 phone calls at the call center . The first evening, she received 7 more calls than the third evening. The second evening, she received 2 times as many calls as the third evening. How many phone calls did she receive each evening ?
Answers
x + y + z = 83
x = z + 7
y = 2z
z + 7 + 2z + z = 83
4z + 7 = 83
4z = 83 - 7
4z = 76
z = 76/4
z = 19 <=== 3rd evening calls
x = z + 7
x = 19 + 7
x = 26 <=== 1st evening calls
y = 2z
y = 2(19)
y = 38 <=== 2nd evening calls
brainleiest!!! What is the unit rate for 4543.08 km in 52.4 h? Enter your answer, as a decimal, in the box. km/h
Answers
(4543.08) / (52.4) = 86.7 km per hour
Answer:
86.7
Step-by-step explanation:
you divide 4543.08 by 52.4
At an interest rate of 8% compounded annually, how long will it take to double the following investments?
$50
$500
$1700
Answers
recall your logarithm rules for an exponential,
[tex]\bf \textit{Logarithm of exponentials}\\\\ log_{{ a}}\left( x^{{ b}} \right)\implies {{ b}}\cdot log_{{ a}}(x)\\\\ -------------------------------\\\\ \qquad \textit{Compound Interest Earned Amount} \\\\ [/tex]
[tex]\bf A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\to &\$100\\ P=\textit{original amount deposited}\to &\$50\\ r=rate\to 8\%\to \frac{8}{100}\to &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annnually, thus once} \end{array}\to &1\\ t=years \end{cases} \\\\\\ 100=50\left(1+\frac{0.08}{1}\right)^{1\cdot t}\implies 100=50(1.08)^t \\\\\\ \cfrac{100}{50}=1.08^t\implies 2=1.08^t\implies log(2)=log(1.08^t) \\\\\\ [/tex]
[tex]\bf log(2)=t\cdot log(1.08)\implies \cfrac{log(2)}{log(1.08)}=t\implies 9.0065\approx t\\\\ -------------------------------\\\\ [/tex]
now, for the second amount, if the Principal is 500, the accumulated amount is 1000 when doubled,
[tex]\bf \qquad \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\to &\$1000\\ P=\textit{original amount deposited}\to &\$500\\ r=rate\to 8\%\to \frac{8}{100}\to &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annnually, thus once} \end{array}\to &1\\ t=years \end{cases} \\\\\\ 1000=500\left(1+\frac{0.08}{1}\right)^{1\cdot t}\implies 1000=500(1.08)^t \\\\\\ [/tex]
[tex]\bf \cfrac{1000}{500}=1.08^t\implies 2=1.08^t\implies log(2)=log(1.08^t) \\\\\\ log(2)=t\cdot log(1.08)\implies \cfrac{log(2)}{log(1.08)}=t\implies 9.0065\approx t\\\\ -------------------------------[/tex]
now, for the last, Principal is 1700, amount is then 3400,
[tex]\bf \qquad \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\to &\$3400\\ P=\textit{original amount deposited}\to &\$1700\\ r=rate\to 8\%\to \frac{8}{100}\to &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annnually, thus once} \end{array}\to &1\\ t=years \end{cases}[/tex]
[tex]\bf 3400=1700\left(1+\frac{0.08}{1}\right)^{1\cdot t}\implies 3400=1700(1.08)^t \\\\\\ \cfrac{3400}{1700}=1.08^t\implies 2=1.08^t\implies log(2)=log(1.08^t) \\\\\\ log(2)=t\cdot log(1.08)\implies \cfrac{log(2)}{log(1.08)}=t\implies 9.0065\approx t[/tex]
At the corner store, Nico bought 5 pencils for $0.10 each and 3 pens for $0.50 each. He used t to represent the sales tax, in dollars, that he also paid. He paid a total of $2.12, including tax.
Nico wrote this equation to represent what he paid. What errors, if any, did he make?
5(0.10) + 3(0.50) - t = 2.12
He should have multiplied 0.10 by 3 instead of 5.
He should have multiplied 0.50 by 5 instead of 3.
He should have added t instead of subtracting t.
He should have multiplied by t instead of subtracting t.
Answers
Answer:
C. He should have added t instead of subtracting t.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
If 4f(x)+f(5-x)=x2
What is f(x)?
Answers
Substitute x with 5-x, then the above equation becomes:
[tex]4f(5-x)+f(5-(5-x))=(5-x)^2[/tex], that is
[tex]4f(5-x)+f(x)=(5-x)^2[/tex]
So, we have the following system of equations:
i) [tex]4f(x)+f(5-x)=x^2[/tex]
ii) [tex]4f(5-x)+f(x)=(5-x)^2[/tex]
multiply the first equation by -4, so that we eliminate f(5-x)'s
i) [tex]-16f(x)-4f(5-x)=-4x^2[/tex]
ii) [tex]4f(5-x)+f(x)=(5-x)^2[/tex]
adding the 2 equations side by side we have:
[tex]-15f(x)=-4x^2+(5-x)^2[/tex]
expanding the binomial, and collecting same terms we have:
[tex]-15f(x)=-4x^2+(25-10x+x^2)[/tex]
[tex]-15f(x)=-3x^2-10x+25[/tex]
dividing by -5:
[tex]3f(x)=\frac{3}{5}x^2+2x-5[/tex]
dividing by 3:
[tex]\displaystyle{f(x)= \frac{1}{5}x^2+ \frac{2}{3}x-\frac{5}{3} [/tex]
Answer: [tex]\displaystyle{f(x)= \frac{1}{5}x^2+ \frac{2}{3}x-\frac{5}{3} [/tex]
Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, two green ones, four white ones, and three purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. HINT [See Example 1.] She does not have all the green ones.
Answers
Explanation of calculating the probability of choosing 3 green marbles out of 10 from a bag with 50 marbles.
Explanation:
The probability of choosing exactly 3 green marbles if a total of 10 marbles are selected from a bag filled with 50 marbles, 15 of which are green, can be calculated as follows:
Calculate the total number of ways to choose 3 green marbles out of 15: C(15, 3).Calculate the total number of ways to choose 7 non-green marbles out of 35: C(35, 7).Find the total number of ways to choose 10 marbles out of 50: C(50, 10).Calculate the probability by dividing the product of the above two calculations by the total ways to choose 10 marbles.The salaries of the president and the Vice President of a certain country total $562,500 a year. If the president makes $237,400 more than the Vice President , find each of their salaries.
Answers
Find an equation of the normal line to the parabola y = x2 â 9x + 7 that is parallel to the line x â 7y = 2.
Answers
I'm taking the liberty of correcting your input: "Find an equation of the normal line to the parabola y = x2 â 9x + 7 that is parallel to the line x â 7y = 2." may be:
Find an equation of the normal line to the parabola y = x^2 - 9x + 7 that is parallel to the line x - 7y = 2.
How do you find the slope of a normal line to the graph of a given quadratic? Differentiate y = x^2 - 9x + 7: dy/dx = 2x - 9
You can see that this slope varies with x. You have not named an x-value here, so I will have to stop at dy/dx = 2x - 9.
The slope of a line perpendicular to the tangent line is the negative reciprocal of the slope of the tangent line, or
-1
------- which obviously depends upon the x value you choose or are given.
(2x)
Now focus on the given line x - 7y = 2. Solving for y, 7y =x-2. The slope of this line is (1/7). Thus,
-1 1
--------- = ---------- Cross-multiplying, -7 = 2x; x = -3.5
2x 7
So it appears we DO have the x-value at the point of tangency on the curve.
Find the associated y-value by subst. x = -3.5 into the eq'n of the parabola.
Call it Y.
Then the eq'n of the normal line to the parabola that is parallel to x - 7y = 2
is y-Y = (1/7)(x-[-3.5])
The normal line to the parabola y = x^2 - 9x + 7 that is parallel to the line x - 7y = 2 is y = -7x + 65, which was determined by finding the normal slope and point of tangency using the derivative.
Explanation:In mathematics, the normal line to a curve at a particular point is the line that is perpendicular to the tangent of the curve at that point. First, it's important to establish that any line parallel to x - 7y = 2 would have the same slope, which in this case is 1/7. To find the normal line, we need a line that is perpendicular to this -- hence, it would have a slope of -7.
Now, to find the point of tangency, you must take the derivative of y = x^2 - 9x + 7, making it 2x - 9. Set this equal to -7 (the slope of the normal line) and solve for x, which comes out to be 8. Substituting x = 8 back into our parabola equation gives us y = -9. Therefore, our point of tangency is (8, -9).
Finally, using the point-slope form of a line formula, we can find our equation of the normal line, which is y - (-9) = -7*(x - 8), simplifying to y = -7x + 65.
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Toby, a toy store buyer, ordered 2 gross rubber spiders, 60 teddy bears, and 5 dozen video games. The spiders cost 7 cents each, the bears cost 59.76 dollars per dozen, and the video games were on sale for a special price—12 for 156 dollars. What was the total cost of Toby’s order, in dollars?
Answers
7 × 2 gross (1 gross = 144 units)
7 cents x 288 = 2016 cents = $20.16
Total cost of teddy bear:
59.76 x (60÷12) (1 dozen = 12 units)
59.76 x 5 = $298.80
Total cost of video games:
156 x 5 = $780.00
Total spent:
780 + 298.80 + 20.16 = $1098.96
Find the minimum and maximum values of the function subject to the given constraint. (if an answer does not exist, enter dne.) f(x, y) = x2y + x + y, xy = 5
Answers
[tex]L(x,y,\lambd)=x^2y+x+y+\lambda(xy-5)[/tex]
[tex]L_x=2xy+1+\lambda y=0[/tex]
[tex]L_y=x^2+1+\lambda x=0[/tex]
[tex]L_\lambda=xy-5=0[/tex]
[tex]\underbrace{10}_{2xy}+1+\lambda y=0\implies \lambda=-\dfrac{11}y[/tex]
[tex]xy=5\implies y=\dfrac5x\implies\lambda=-\dfrac{11}5x[/tex]
[tex]\impliesx^2+1+\left(-\dfrac{11}5x\right)x=0\implies x^2=\dfrac56\implies x=\pm\sqrt{\dfrac56}[/tex]
[tex]xy=5\implies y=\pm\sqrt{30}[/tex]
At these points, we get local minima of [tex]f\left(\pm\sqrt{\dfrac56},\pm\sqrt{30}\right)=\pm2\sqrt{30}[/tex].
- - -
Another way to do this is to make [tex]f(x,y)[/tex] a function independent of [tex]y[/tex], which is made possible by the constraint.
[tex]xy=5\implies y=\dfrac5x[/tex]
[tex]\implies f(x,y)=f\left(x,\dfrac5x\right)=F(x)=6x+\dfrac5x[/tex]
[tex]\implies F'(x)=6-\dfrac5{x^2}=0\implies x=\pm\sqrt{\dfrac56}[/tex]
and so on.
Each class at briarwood elementary collected at least 54 cans of food lduring the food drive.If tbere are 29 clases in the school what was the least numbet of cans collected?
Answers
For each class → x ≥ 54
Full School → x ≥ 54(29)
If we simplify the second inequality, we get this:
x ≥ 1566
The answer to your query is x ≥ 1566. Hope this helps and have a fantastic day!
Evaluate 3 to the power of 3 + 6 (2 + 3/6)
Answers
Thus, 3 + 6(2 + 3/6) = 3 + 6 (15/6)
= 3 + 15 = 18.
Then: 3^18 is the answer. You could expand this if you wanted, but what would be the point of that?
What is the value of r, the part of the job that Marina can complete in 1 hour? 0.1 0.4 0.5 0.6
Answers
if in two hours she and Marina can be done, then Marina will do 1(the whole job)-2/10 (twice as much as she can do in an hour)=0.8 of the job. So if Marina does 0.8 of the job in two hours, each hour she will do half of it: 0.4 - and this is the correct answer
If you put all the flowers together end to end, what would be the total length of all the flowers?
Answers
1/8 + 3/4 + 1 + 5/8 + 3/4 + 7/8 + 1 =
13/8 + 6/4 + 2 =
13/8 + 12/8 + 16/8 =
41/8 =
5 1/8 inches <==
how do i calculate an estimated regression line with the information
n=12, ∑x=66, ∑y=588, ∑xy=2244, ∑x2=396
Answers
y = ax + b
where
a = [(Σy)(Σx²) - (Σx)(Σxy)]/D
b = [n(Σxy) - (Σx)(Σy)]/D
D = n(Σx²) - (Σx)²
Therefore,
D = 12(396) - 66² = 396
a = [588*396 - 66*2244]/396 = 214
b = [12*2244 - 66*588]/396 = -30
Answer:
The regression line is y = 214x - 30
f(x) = x2 + 5x – 1 is shifted 3 units left. The result is g(x). What is g(x)?
A. g(x) = (x – 3)2 + 5(x – 3) – 1
B. g(x) = x2 + 5x + 2
C. g(x) = (x + 3)2 + 5x – 1
D. g(x) = (x + 3)2 + 5(x + 3) – 1
Answers
Answer:
g(x) = (x+3)² + 5(x+3) – 1.
Step-by-step explanation:
Given : f(x) = x² + 5x – 1 is shifted 3 units left.
To find : The result is g(x). What is g(x).
Solution : We have given that
f(x) = x² + 5x – 1 is shifted 3 units left.
By the transformation rule : If f(x) →→ f(x +h) shifted by h unit left .
f(x) = x² + 5x – 1 is shifted 3 units left.
Here , h = 3
Then g(x) = (x+3)² + 5(x+3) – 1.
Therefore, g(x) = (x+3)² + 5(x+3) – 1.
If an article costs a store $7.45 and if it sells the article for $9.95, what percentage (to the nearest tenth) markup is it using?
Answers
subtract to find the difference:
9.95 - 7.45 = 2.50
divide 2.50 by cost price to get mark up percentage
2.50 / 7.45= 0.3355
= 33.6 percent to the nearest tenth
Answer:
Markup Percentage is 33.56 %
Step-by-step explanation:
Given: Cost of an article = $ 7.45
Selling price of the article = $ 9.95.
To find: Markup percentage or profit percentage
Clearly Selling price is greater we have profit in this case.
Profit amount = 9.95 - 7.45 = $ 2.50
Profit percentage = [tex]\frac{2.50}{7.45}\times100=33.5570469799=33.56[/tex] %
Therefore, Markup Percentage is 33.56 %
I need to solve and show work for 3x over4 divided by 5-1 over 8
Answers
4
Is the answer
3x
---
4
over
5x-1
------
8
To accomplish this, invert the 2nd fraction and then multiply:
3x 5x-1
--- * ------ = 15x^2-3x divided by 32.
4 8
If the equation were y=40x+70.What would the x-intercept be? Plz...Help!?!
Answers
[tex]( - \frac{7}{4} .0)[/tex]
the period is a comma
Johns collection contains US, Indian and British stamos. If the stamps ratios of US to Indian stamps is 5 to 2, and the ratio of Indian stamps to British stamps is 5 to 1, what is the ratio of US to British stamps
Answers
The ratio of US to British stamps is 25 to 2.
Explanation:To find the ratio of US to British stamps, we need to consider the ratios provided in the question. The ratio of US to Indian stamps is 5 to 2, and the ratio of Indian stamps to British stamps is 5 to 1. We can combine these ratios by multiplying the two ratios together. 5/2 multiplied by 5/1 is equal to 25/2. Therefore, the ratio of US to British stamps is 25 to 2.
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Owl can clean piglets house in 25 minutes. eeyore can clean piglets house in 40 minutes. how long will it take owl and eeyore to do the job if they work together?
Answers
Let us say that the task of cleaning the house is equal to 1 job. Therefore the rates are:
rate of Owl = 1 job / 25 minutes
rate of eeyore = 1 job / 40 minutes
So working together, the time is:
(1 / 25) + (1 / 40) = 1 / t
0.065 = 1 / t
t = 15.38 minutes
So it takes about 15.38 minutes working together.
last week, several gas stations in a neighborhood all charged the same price for a gallon of gas.The table below shows how much gas prices have changed from last week to this week.
a. Order the numbers in the table from least to greatest.
b. Which gas station has the cheapest gas this week?
c. Critical Thinking. Which gas station changed their price the least this week?
Gas and Samson. Star
Go. Gas. Gas
-6.6. 5.8. -6 3/4
Corner store. tip top
27/5. shop
-5 5/8
Answers
–6 3/4 = –6.75
27/5 = 5.4
–5 5/8 = –5.625
Now that the numbers are –6.6, 5.8, –6.75, 5.4 and –5.625.
a) A negative number is always less than a positive number. In addition, a negative with a larger magnitude would be less. Like –4 < –3. So the order from least to greatest is –6.75 < –6.6 < –5.625 < 5.4 < 5.8. In other words, –6 3/4 < –6.6 < –5 5/8 < 27/5 < 5.8.
b) A negative change means that the gas price decreased. The gas station that decreased the gas price the most is the Star gas since the –6 3/4 is the least number in the list.
c) The changes in prices can be compared in relation to each other based on their magnitude, which is the value without the sign. For example, the magnitude of –4 is 4. The magnitudes of the changes in prices are 6.6, 5.8, 6.75, 5.4 and 5.625. So the least change is 5.4, that is, 27/5. So the Corner Store changed the price the least.
Without the correctly formatted data, we cannot give direct answers. However, the answers would come from ordering the data from least to greatest, identifying the least positive or most negative change as the cheapest gas, and the smallest change as the least change in price.
Explanation:Unfortunately, the question you provided is a bit unclear because the table is not formatted correctly. However, it's clear that you're asked to analyze a set of data, which refers to changes in gas prices at several gas stations. Usually, to order the numbers from least to greatest, you would list them in ascending numerical order, taking into account whether they are positive or negative, with negative numbers being less than positive numbers. The gas station with the cheapest gas this week would be the one with the least positive change or the greatest negative change. The gas station that changed their price the least would be the gas station with the smallest change in price, whether positive or negative. However, without the correct formatting of data, I am unable to provide specific answers. It's always important to check your data for clarity in order to perform accurate mathematical analyses. These principles of data analysis and number order are crucial skills in your mathematical education.
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PLEASE HELP ASAP DUE IN A DAY What is the unit rate for 768.57 m 41.1 h? Enter your answer, as a decimal, in the box.
Answers
The unit rate for 768.57 meters in 41.1 hours is approximately 18.68 meters per hour. This calculation is derived by dividing the distance by the time to find the rate of movement.
To find the unit rate, divide the distance by the time:
[tex]\[ \text{Unit rate} = \frac{\text{Distance}}{\text{Time}} \][/tex]
[tex]\[ \text{Unit rate} = \frac{768.57 \, \text{m}}{41.1 \, \text{h}} \][/tex]
[tex]\[ \text{Unit rate} \approx \frac{768.57}{41.1} \, \text{m/h} \][/tex]
[tex]\[ \text{Unit rate} \approx 18.68 \, \text{m/h} \][/tex]
So, the unit rate is approximately 18.68 meters per hour.
Suppose five construction companies have the ability to build a factory overseas to produce a manufactured good. The marginal cost of building a factory for each construction company is shown in the table below: Producer Marginal Cost Company 1 $1,000,000 Company 2 $1,250,000 Company 3 $1,300,000 Company 4 $1,350,000 Company 5 $1,500,000 If the market price of an overseas factory is $ 1 470 000 , what is the surplus for these five companies?
Answers
The surplus for the five companies is amounting to $830,000
What is the surplus for the five companies?Producer Surplus is the difference between the price at which a producer is willing to spend and the price which he is getting from the market for his product.
The minimum price at which a producer is willing to spend is the Marginal Cost of producing that product.Therefore, Producer surplus is Market Price- Marginal CostProducer Marginal Cost Market Price Producer Surpus Company 1 1,000,000 1,470,000 (1,470,000-1,000,000)=470,000
Company 2 1,250,000 1,470,000 (1,470,000-1,250,000)=220,000
Company 3 1,300,000 1,470,000 (1,470,000-1,300,000)=170,000
Company 4 1,350,000 1,470,000 (1,470,000-1,350,000)=120,000
Company 5 1,500,000 1,470,000 (1,470,000-1,500,000)=-30,000
Total producer surplus= 470,000 + 220,000 + 170,000 + -30,000 = 830,000
The surplus for the five companies is amounting to $830,000
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Final answer:
The surplus for Companies 1, 2, and 3 is $470,000, $220,000, and $170,000 respectively, as their marginal costs are less than the market price of $1,470,000. Companies 4 and 5 do not have a surplus since their marginal costs are above the market price. The total surplus is $860,000.
Explanation:
The surplus for the five construction companies based on their marginal costs and the market price of an overseas factory can be calculated as the difference between the market price and the marginal cost for each company. Only the companies that have a marginal cost lower than the market price will experience a surplus. Given that the market price is $1,470,000:
Company 1 has a surplus of $470,000 ($1,470,000 - $1,000,000).
Company 2 has a surplus of $220,000 ($1,470,000 - $1,250,000).
Company 3 has a surplus of $170,000 ($1,470,000 - $1,300,000).
Companies 4 and 5 do not have a surplus because their marginal costs are higher than the market price. The total surplus for the three companies with a surplus is $860,000 ($470,000 + $220,000 + $170,000).
Randy school requires that there are two adult chaperones for every 18 students when the students go on a field trip to the museum if there are 99 students going to the museum how many adult shop around our need it
Answers
2 adults to 18 students is as x adults to 99 students.
2/18 = x/99
18x = 2 * 99
18x = 198
x = 11
Answer: 11 adults