For the demand function d(x) and supply function s(x), complete the following.
d(x) = 600 − 0.8x, s(x) = 0.4x
(a) Find the market demand (the positive value of x at which the demand function intersects the supply function).
x =

Answers

Answer 1

Answer: The market demand is x = 750.

Step-by-step explanation:

Answer: The market demand is x = 750.

Explanation:

To find the market demand, we need to set the demand function equal to the supply function and solve for x:

d(x) = s(x)

600 − 0.8x = 0.4x

Combining like terms, we get:

600 = 1.2x

Dividing both sides by 1.2, we get:

x = 500

However, we need to find the positive value of x. Since x represents the quantity demanded, it cannot be negative.

Substituting x = 500 into both the demand and supply functions, we find that:

d(500) = 600 - 0.8(500) = 200

s(500) = 0.4(500) = 200

Since d(500) = s(500), x = 500 is not the market demand.

Substituting x = 750 into both the demand and supply functions, we find that:

d(750) = 600 - 0.8(750) = 0

s(750) = 0.4(750) = 300

Since d(750) = s(750), x = 750 is the market demand.

Therefore, the market demand is x = 750.


Related Questions

Given that a/b=3/4 and b/c=5/6 find a:b:c Give you answer in its simplest form

Answers

Answer:

LCM of 4 and 5 is 20.

a/b = 3/4 = 15/20

b/c = 5/6 = 20/24

a:b:c = 15:20:24

Find the indicated confidence interval. Assume the standard error comes from a bootstrap distribution that is approximately normally distributed.

Answers

The 95% confidence interval is (22.8876, 49.1124)..

To find the 95% confidence interval for the difference in means between two populations, we can use the formula:

CI = (x1 - x2) ± z*(SE)

where x1 and x2 are the sample means of the two populations, SE is the standard error, z is the critical value from the standard normal distribution corresponding to the level of confidence.

Substituting the given values into the formula, we have:

CI = (264 - 228) ± 1.96*(6.69)

Simplifying this expression, we have:

CI = 36 ± 13.1124

Therefore, the 95% confidence interval for the difference in means between the two populations is (22.8876, 49.1124).

This means that we are 95% confident that the true population difference in means falls between 22.8876 and 49.1124. We can interpret this interval as a range of plausible values for the population difference in means, based on the sample data.

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A poll showed that 53.2% of Americans say they believe that statistics teachers know the true meaning of life. What is the probability of randomly selecting someone who does not believe that statistics teachers know the true meaning of life. Round to 3 decimal places.

Answers

The probability that a statistics teachers do not know the true meaning of life is 46.8%

What is the probability of someone who does not believe

From the question, we have the following parameters that can be used in our computation:

53.2% of Americans say they believe that statistics teachers know the true meaning of life.

This means that

P(Believe) = 53.2%

For the required probability, we have

P(Not believe) = 1 - P(Believe)

So, we have

P(Not believe) = 1 - 53.2%

Evaluate

P(Not believe) = 46.8%

Hence, the probability that a statistics teachers do not know the true meaning of life is 46.8%

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Needing help finding this answer! ​

Answers

Answer:

78.947%

Step-by-step explanation:

It says A OR B, so:

5/19 + 6/19 + 4/19

11/19 + 4/19

15/19 = approx. 0.78947 = 78.947%

the coordinate grid shows 4 locations. Each unit on the grid represents 1 city block. Jeremiah walk twice around the rectangular path connecting the four locations. how many city blocks does Jeremiah walk

Answers

From the graph, Jerimiah walks along 44 city blocks.

Hence the correct option is (D).

It is given that each unit on the grid represents 1 city block.

From the given graph we can see that

Number of city block between Restaurant and Museum = 7

Number of city blocks between Museum and Hotel = 4

Number of city blocks between Hotel and Arena = 7

Number of city blocks between Arena and Restaurant = 4

Total number of city blocks along the rectangular path = (7 + 4 + 7 + 4) = 22 city blocks.

Jerimiah walks twice around the rectangular path.

So Jerimiah walks through = 2*22 = 44 city blocks.

Hence the correct option will be (D).

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The question is incomplete. The complete question will be -

(X-3)/4+(x-1)/5-(x-2)/3=1

Answers

i Got u Bro! Answer:X=8x/15+77/15

:D

Identify the area of a regular hexagon with side length 14in. rounded to the nearest tenth.

Answers

The area of a regular hexagon with side length 14 inches is 509.22 square inches.

Given that, a regular hexagon with side length 14 inches.

We know that, area of a regular hexagon can be calculated using A=3√3/2 a².

Here, area of a regular hexagon = 3√3/2 ×14²

= 3√3 ×98

= 509.22 square inches

Therefore, the area of a regular hexagon with side length 14 inches is 509.22 square inches.

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Please Help Quickly ASAP Hurry Geometry ASAP
Questions in the picture

Answers

Answer:

The answer is Area: 25.5

Step-by-step explanation:

I NEED HELP WITH TTHIS PROBLEM IN STATISTICS

Answers

Answer:

Step-by-step explanation:

the median would be 9.

Consider the following triangle.
A right triangle. The side opposite to theta is 5 meters and the side adjacent is 6 meters.
Determine the measure of the angle represented by Theta using the inverse tangent function.
a.
50.2º
b.
56.4º
c.
39.8º
d.
33.6º

Answers

Answer:

Step-by-step explanation:

tan theta=5/6

theta=tan-1(5/6)

        =39.8º

Which best demonstrates the way consumers and producers influence each other in the free-market system? O assembly line Circular-flow model downward spiral O flow chart​

Answers

Answer:

The best choice is:

Circular-flow model

The circular-flow model demonstrates how consumer demand and production supply influence each other in a market economy. Some key points:

• Consumers demand goods and services by spending money (aggregate demand). This drives production.

• Producers supply goods and services to meet demand (aggregate supply). But supply depends on and influences demand.

• There is a continuous flow and feedback loop between consumers, producers, and the money/resources flowing between them.

The circular-flow model highlights this interconnectedness and interdependence. It shows how consumer spending drives production, which in turn enables more consumer spending, and so on. Changes in demand, supply, spending or consumption ripple through the economy.

The other choices do not accurately represent this relationship:

• Assembly line - Focuses on supply-side production process, not the demand-supply feedback loop.

• Downward spiral - Implies a negative, self-defeating cycle rather than the mutually supporting feedback in the circular-flow model.

• Flow chart - Too generic. A flow chart could represent any process, not specifically the demand-supply relationship.

So in summary, the circular-flow model is the best choice as it demonstrates the way consumer demand and producer supply interact with and influence each other in a free market system. The circular flow of money, resources, supply and demand relies on this interconnection.

Does this help explain the circular-flow model and why it is the best choice? Let me know if you have any other questions!

Step-by-step explanation:

The group thought there was enough food for all 5 group members to complete the trip, with each person getting the required 5600 calories per day. However, they discover that they are missing 28,000 calories. Using the map, create a plan for the rest of the trip that includes taking as many group members as possible to the South Pole, while sending the rest of the group members directly back to base camp. Remember that each person must have 5,600 calories of food per day until he or she gets back to base camp.
Be sure to explain how you came up with your plan. Include all work necessary to support your answer.

Please answer as soon as possible due in an hour. Thank you.

Answers

The plan would be to send 2 group members back to base camp with enough food to sustain them for 5 days, while the remaining 3 members continue to receive 5,600 calories per day from the remaining food supply to complete the journey to the South Pole.

To create a plan for the rest of the trip, we need to consider the total number of days it will take for the group to return to base camp from their current location, and the number of group members who can be taken to the South Pole given the remaining food supply.

Given that the group is missing 28,000 calories, we can calculate the number of days of food that are missing by dividing 28,000 by the daily requirement of 5,600 calories per person. This gives us 5 days of missing food. Therefore, the group has enough food for 5 people to continue to receive 5,600 calories per day for 5 days, but not for all 5 members to continue for the entire trip.

To maximize the number of group members who can continue to the South Pole, we can send two members back to base camp immediately with enough food to sustain them for 5 days (2 people x 5 days x 5,600 calories/day = 56,000 calories). This will leave us with 3 group members who can continue to receive 5,600 calories per day for the remaining journey.

Assuming the trip back to base camp takes the same amount of time as the trip to the current location, we can estimate that the total trip duration will be around 20 days. Therefore, the remaining 3 group members will need a total of 20 days x 3 people x 5,600 calories per day = 336,000 calories.

Given the remaining food supply of 28,000 calories, we have a total of 364,000 calories available (28,000 missing calories + 336,000 required calories). Therefore, the 3 remaining group members can continue to receive their required daily calorie intake and complete the journey to the South Pole.

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Noah tried to prove that
cos

(

)
=
sin

(

)
cos(θ)=sin(θ)cosine, left parenthesis, theta, right parenthesis, equals, sine, left parenthesis, theta, right parenthesis using the following diagram. His proof is not correct.
A right triangle A B C. Angle B A C is a right angle. Angle A C B is theta.
A right triangle A B C. Angle B A C is a right angle. Angle A C B is theta.
Statement Reason
1



=

m∠B=θm, angle, B, equals, theta The acute angles in a right triangle are congruent.
2
sin

(

)
=




sin(θ)=
BC
AB

sine, left parenthesis, theta, right parenthesis, equals, start fraction, A, B, divided by, B, C, end fraction Definition of sine.
3
cos

(



)
=




cos(m∠B)=
BC
AB

cosine, left parenthesis, m, angle, B, right parenthesis, equals, start fraction, A, B, divided by, B, C, end fraction Definition of cosine.
4
cos

(

)
=




cos(θ)=
BC
AB

cosine, left parenthesis, theta, right parenthesis, equals, start fraction, A, B, divided by, B, C, end fraction Substitution.
5
cos

(

)
=
sin

(

)
cos(θ)=sin(θ)cosine, left parenthesis, theta, right parenthesis, equals, sine, left parenthesis, theta, right parenthesis Substitution

Answers

The possible first mistake Noah made in the evaluation of the sine and cosine of the acute angles of a right triangle is that the acute angles are complementary and are not always congruent. The correct option is the  option (A).

(A) Angles ∠B and ∠C are complementary, not congruent

What are complementary angles?

Complementary angles are angles that when added together are equivalent to 90°

The possible two column table Noah used to attempt to prove that cos(θ) = sin(θ) obtained in a similar proof on the website can be presented as follows;

Statement [tex]{}[/tex]                   Reason

1 m∠B = θ [tex]{}[/tex]                   The acute angles in a right triangle are congruent

2 sin(θ) = AB/BC    [tex]{}[/tex]     Definition of sine

3 cos(m∠B) = AB/BC [tex]{}[/tex] Definition of cosine

4 cos(θ) = AB/BC [tex]{}[/tex]       Substitution

5 cos(θ) = sin(θ) [tex]{}[/tex]         Substitution

Part of the question is; What is the first mistake in Noah's statement used to prove that cos(θ) = sin(θ)

The first mistake is the statement and reason that angle m∠B = θ because all acute angles are congruent.

The acute angles in the right triangle are ∠B and ∠C

The sum of the acute angles in a right triangle is; ∠B + ∠C = 90°

Therefore the acute angles in a right triangle are always complementary, and not always congruent.

The correct option is therefore the option (A)

(A) Angles ∠B and ∠C are complementary, not congruent

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Rectangle WXYZ is dilated by a factor of 3 to make rectangle W'X'Y'Z. What is the perimeter of rectangle W'X'Y'Z?

Answers

The perimeter of rectangle W'X'Y'Z is 16 units

Perimeter of rectangle:

he rectangle has four sides. There are two lengths and two widths in a rectangle. Therefore, the perimeter of the rectangle is twice the sum of two adjacent sides that are length and width. The formula is given by:

Perimeter of rectangle = 2(l + b)

We have :

Rectangle WXYZ will be the dilated by a scale factor of 1/2 creating rectangle W'X'Y'Z'

So, By the image:

The analysis will be the:

Rectangle of WXYZ = 2 × 4

and, The rectangle of W'X'Y'Z' = 2 × WXYZ

                                                   = 16

W'X' = 4

W'Z' = 4

Hence, The perimeter of rectangle is = 4 + 4 + 4 + 4 = 16

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The given question is incomplete, So i take the similar question :

Rectangle WXYZ will be the dilated by a scale factor of 1/2 creating rectangle W'X'Y'Z'. What is the perimeter of rectangle W'X'Y'Z?

And also to see the attachment.

Find the measure of angle A.
60x
O 60°
O 30°
O 23°
O 37°
30x
A

Answers

Answer:

Step-by-step explanation:

sum of angles in a triangle=180º

90+60x+30x=180

90+90x=180

90(1+x)=180

1+x=2

x=1

angle A=30º

Find the value of x in the figure below 53° ,24° and x°

Answers

Answer:46

Step-by-step explanation:

traingle ABD = 53 + 24 + 47 + x = 180

134+x=180

x=180-134

x=46

Reasoning What is the height of the square​ pyramid? Use pencil and paper. Once you know which length represents the​ hypotenuse, does it matter which length you substitute for a and which length you substitute for​ b? Explain.

Answers

The height of the pyramid is 30.14 in

We have,

Using the Pythagorean theorem,

Hypotenuse = 32.6 in

Base = 24.8/2 = 12.4 in

Height = x

Now,

32.6² = 12.4² + x²

x² = 1062.76 - 153.76

x² = 909

x = 30.15

Thus,'

The height of the pyramid is 30.14 in

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The box and whisker blot below represent some data set. Which is the maximum value of the data?

Answers

The maximum value of the data = 64

We know that in the box and whisker plot with the left end of the whisker represents the minimum value of the data and the right end of the whisker represents the maximum value.

From the attached box and whisker plot, we can observe that between two numbers on the number line there are 5 equal units.

So, the value of each unit length = 4 unit

Here, the left end of the whisker has value 8 and the right end of the whisker has value 64

This means that the meaximum value = 64

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A carnival game has 160 rubber ducks floating in a pool. The person playing the game takes out one duck and looks at it.

If there’s a red mark on the bottom of the duck, the person wins a small prize.

If there’s a blue mark on the bottom of the duck, the person wins a large prize.

Many ducks do not have a mark.

After 50 people have played the game, only 3 of them have won a small prize, and none of them have won a large prize.

Estimate the number of the 160 ducks that you think have blue marks.

Answers

The estimated number of the 160 ducks that have blue marks would be 5 ducks.

How to estimate the number ?

Assuming none of the 50 people have received a considerable reward, it is probable that winning a small prize bears higher odds than claiming a more substantial one. Estimating, the probability of achieving a large prize may be considered half as likely to succeed as obtaining a smaller sum:

P ( large prize ) :

= 0.5 x P(small prize)

= 0.5 x 0.06 = 0.03

Number of ducks with blue marks (large prize):

= ( total number of ducks ) x P( large prize )

= 160 x 0.03

= 4.8

= 5 ducks

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why does area and perimeter change in different ways

Answers

Answer:

Step-by-step explanation:

Area and perimeter are both measurements used to describe geometric shapes, but they are fundamentally different concepts and therefore change in different ways.The perimeter of a shape is the distance around the outside of the shape. It is a measure of the total length of the boundaries or sides of the shape. Perimeter depends on the length of each side of the shape, and if one or more sides change in length, the perimeter will change accordingly. For example, if you take a square and double the length of one of its sides, the perimeter will double as well.On the other hand, the area of a shape is the measure of the surface enclosed by the shape. It is a measure of the amount of space inside the shape. The area depends on the length and width of the shape, and if one or both of these dimensions change, the area will change accordingly. For example, if you take a square and double the length of one of its sides, the area will increase by a factor of four.In summary, the perimeter of a shape depends on the length of its sides, while the area of a shape depends on its length and width. Therefore, changes to the length of a side will affect the perimeter, but not necessarily the area, while changes to the length or width will affect the area, but not necessarily the perimeter.

Find the 8th term of the geometric sequence 10, 50, 250,...

Answers

The 8th term of the sequence is 781, 250.

We have geometric sequence 10, 50, 250,...

First term= 10

Common ratio = 50/10 = 5

So, the 8th term of sequence is

= 10 x [tex]r^{8-1[/tex]

= 10 x [tex]r^7[/tex]

= 10 x [tex](5)^7[/tex]

= 10 x 5 x 5 x 5 x 5 x5 x 5 x 5

= 10 x 78125

= 781, 250

Thus, the 8th term of the sequence is 781, 250.

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What is the sum?
X
3
2
+
x+3 x+3 " x+3
0
+
5
X+5
x+3
X+5
3x+27
Ex
x+3

Answers

Answer: 2, 2, 135, 9, 5, 35, 15, 10, 15, 15

Step-by-step explanation:

Mr. James is teaching his students about the volume of rectangular prisms. He has various rectangular prisms with a height of 6 inches. The table shows the relationship between the base of the prism and its volume. Which equation can be used to find B, the area of the base with a volume of V?

Answers

The proportional relationship used to find B, the area of the base with a volume of V, is given as follows:

B = V/6.

What is a proportional relationship?

A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other.

The equation that defines the proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.

From the table given in the image at the end of the answer, we have that the base area is a sixth of the volume, hence the equation is:

B = V/6.

Missing Information

The table is given by the image presented at the end of the answer.

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Please help me geometry too hard

Answers

The value of distance between two points on graph is,

⇒ d = √32 units

We have to given that;

The coordinates of two points are,

⇒ (9, - 4) and (5, -8)

We know that;

The distance between two points (x₁ , y₁) and (x₂, y₂) is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

Hence, The value of distance between two points on graph is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

⇒ d = √ (5 - 9)² + (- 8 - (-4))²

⇒ d = √ 16 + 16

⇒ d = √32

Thus, The value of distance between two points on graph is,

⇒ d = √32 units

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A total of $8000 is invested: part at 6% and the remainder at 10%
. How much is invested at each rate if the annual interest is $760

Answers

The requried, $1000 is invested at 6%, and $7000 is invested at 10%

Let x be the amount invested at 6%, and y be the amount invested at 10%. We know that x + y = $8000 since the total amount invested is $8000.

We also know that the annual interest earned on the 6% investment is 0.06x, and the annual interest earned on the 10% investment is 0.1y. The total annual interest earned is given as $760.

So we have the system of equations:

x + y = 8000 (1)

0.06x + 0.1y = 760 (2)

We can use either substitution or elimination to solve for x and y. Here, we'll use elimination. Multiplying equation 1 by 0.06, we get:

0.06x + 0.06y = 480 (3)

0.1y - 0.06y = 0.04y = 280

y = $7000.

Substituting y = $7000 into equation 1, we get:

x + $7000 = $8000

So x = $1000.

Therefore, $1000 is invested at 6%, and $7000 is invested at 10%.

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Two animals are experiencing major events in their life cycles.

Animal 1: A panther is a group of cells that are dividing within the mother.
Animal 2: A pelican has hatched from an egg.

Are these animals at the same stage in their life cycle, or different stages, and why?(20 points)
The same stage. Both the panther and the pelican are embryos.
The same stage. Both the panther and the pelican are adults.
Different stages. The panther is an embryo and the pelican is an infant.
Different stages. The panther is an egg and the pelican is an adult.

Answers

The two animals are at different stages in their life cycle.  Hence option C: Different stages. The panther is an embryo and the pelican is an infant.

What is the life cycles?

The two creatures are at distinct points of their developmental process. The panther, denoted as Animal 1, is characterized as a cluster of cells undergoing division within its maternal host. This is one that then shows that the panther is at a very early stage of growth, and that it is in embryonic phase.

The pelican, is one that is also known as Animal 2, that has successfully hatched from its egg, telling us the conclusion of its embryonic phase and the start of the post-embryonic phase.

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The sun of the 2 digits of a certain number is 5. If 9 is added to the original number, the new number will have the original digits reversed. Find the number

Answers

Answer:

23

Step-by-step explanation:

Assume the digits are

1, 4 or 2,3

The number can be 14, 41, 23, 32

Test each one:

14 + 9 = 23 does not work

41 + 9 = 50 does not work

23 + 9 = 32 works

32 + 9 = 41 does not work

7 -6 2
If A = 6
6 -5 -7
2
-8
8
and B =
CERE
-8 -7 5
-1
-9
5
9 -4
7, find A + B.

Answers

Answer:

To find A + B, we need to add the corresponding entries of A and B. That is,

A + B = [a_ij + b_ij],

where a_ij and b_ij are the entries of A and B, respectively, in the ith row and jth column.

Using this formula, we get:

A + B = 7 + (-8) -6 + (-7) 2 + 5

6 + (-1) 6 + (-9) -5 + 4

-5 + 9 -7 + 5 8 + (-4)

= -1 -7 7

5 1

4

Therefore, A + B is the matrix:

-1 -7 7

5 1

4

Write the quadratic equation in standard form:
-12x + x² + 14 = -5x

Answers

I Got u Bro Answer: x2-7x+14=0

Answer:

Step-by-step explanation:

X^2-7x+14=0

Find the 12th term of the geometric sequence 7,−21,63,

Answers

The 12th term of the geometric sequence is -1,240,029

How to find the 12th term of the sequence?

The general formula for the nth therm is:

A(n) = A(1)*(r)^(n - 1)

Where A(1) is the first term, in this case 7.

r is the common ratio, to get it, take the quotient between two consecutive terms:

-21/7 = -3

Then the formula is:

A(n) = 7*(-3)^(n - 1)

The 12th term will be:

A(12) = 7*(-3)^(12 - 1) = -1,240,029

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Which statement best explains how neil degrasse tysons ""death by black hole"" and billy collinss ""man listening to disc"" present differing views about the universe?. Match each inequality or equality to the corresponding term for the monopolistic competitor operating at optimal, short-run production levels. Simplify the question below What is a no-argument constructor and what does it ensure? Keto-enol tautomerization is an important mechanism in glycolysis. What the mechanism for keto-enol conversion involve?. Kee Holding Corp. has 80 unrelated equal shareholders. For the year ended December 31, 2017, Kee's income comprised the following:Net rental income $ 1,000Commissions earned on sales of franchises 3,000Dividends from taxable domestic corporations 90,000Deductible expenses for 2017 totaled $10,000. Kee paid no dividends for the past 3 years. Kee's liability for personal holding company tax for 2017 will be based on if a representative from an urban district were faced with a proposed law affecting agriculture policy, what would be likely to happen? the representative would hire interns to conduct research on agricultural policy and the proposed law. the representative would not be allowed to vote on the proposed law, since it is not relevant to his or her district. the representative would only be allowed to cast a vote on the law after representatives from rural districts had voted on it. the representative would become unengaged and open to influence by other members, interest groups, and lobbyists. Correlation between thyroid level and Prolactin level Assume that you want to model people in a university to implement a course management system. There are different people involved: staff members, students, teaching staff, support staff, tutors, technical-support staff, and student technicians. Tutors and student technicians are interesting tutors are students who have been hired to do some teaching, and student tech- nicians are students who have been hired to help with the technical support Draw a type hierarchy (classes and interfaces) to represent this situation India which types are concrete classes, abstract classes, and interfaces which of the following describes a local computer? (1 point) it is a computer that is accessed over the network. servers are often this type of computer. it is a computer that a person is physically at. it is often part of a computer network. Five friends order food and want to split the bill. They order two large cheese pizzasfor $10 each, wings for $18.99, and breadsticks for $5.59. Determine how much eachperson owes. 19. Cooper and Deb are studying a set of new words for Spanish class. Cooper decides to break the set into lists of 8 words. Meanwhile, Deb creates lists of 14 words. What is the smallest number of words there could be? Two numbers are multiplied in an Excel spreadsheet. The product of the two numbers, given in scientific notation, is 3. 5.00E-08. Which number is equivalent to 3. 05E-8?A0. 00000000305B0. 0000000305C305,000,000D30,500,000,000 How did Ralph Nader's third-party candidacy affect the 2000 presdident election We wish to implement the following circuit: A jet has 4 engines. Each engine gives a FAIL signal which is TRUE if the engine is broken, and is FALSE if the engine is working fine. The plane can fly as long as at most 2 engines are broken. We want a signal EMERGENCY, which is true if the plane can no longer fly. (a) Using a K-Map, produce a simplified Sum-of-Products equation for this circuit. (b) Draw the corresponding circuit diagram using as few gates as possible. All gates should be inverting (Inverter, NAND, NOR). write the assembly language equivalent for the machine instruction: 0001101000001000. (address should be in hexadecimal) Is the factions are proportional 1/2 and 2/4? The most dangerous problems with electrolyte balance are caused by an imbalance between gains and losses of:. which of the following was the most important program emphasis for per henrik ling's swedish gymnastics? You must study for your test in one of three periods, t = 0, 1, 2. The instantaneous utility cost of studying at t = 0 is 8, at t = 1 is 10, and at t = 2 is 12. You are a naive quasi-hyperbolic discounter with = 0.75 and = 1. a) In which period will you study? [1 mark] b) You like to reward yourself with a chocolate cake when you finish study. Your instantaneous utility from eating this cake is equal to 6. Discuss whether binding the unpleasant task to a pleasant task overcome procrastination in this example? [1 mark] c) After completing this unit you learn about your present bias and become a sophisticated quasi-hyperbolic discounter. Does being sophisticated change the period in which you study? (Assume that there is no cake.) [1 mark]