helppppppppppppppppppppppppppppppppp

Helppppppppppppppppppppppppppppppppp

Answers

Answer 1

Answer:

You want to find how much it cost for 1kg of potatoes, which in this case is .45 cents. After that you want to multiply the price of 1kg by 50, to get your cost for 50 kg of potatoes, which would be $22.50 I hope this helps! :)

Answer 2

Answer:

$22.50

Step-by-step explanation:

If one. again is 10k and it costs 4.50, then you would do 4.50 multiplied by 5 because each 10k is 4.50 and thier is 50 in total so 5 bags of 4.50 meaning 4.5x5 which would get you $22.50


Related Questions

A hollow cylinder, given some initial velocity, rolls up an incline to a height of 1. 0 m without slipping. If a hollow sphere of the same mass and radius is given the same initial velocity, how high does it roll up the incline?.

Answers

The height to which the hollow sphere rolls up the incline is the same as the height to which the hollow cylinder rolls up, which is 1.0 m in this case.

To determine the height to which the hollow sphere rolls up the incline, we can use the principle of conservation of energy. The initial kinetic energy of both the hollow cylinder and hollow sphere is the same since they have the same mass and initial velocity. This kinetic energy is converted into potential energy as they roll up the incline. The potential energy gained by an object of mass m and height h is given by the formula:

PE = mgh

Since both the hollow cylinder and hollow sphere have the same mass, we can compare their potential energies. Let's assume the potential energy gained by the hollow cylinder is PE_cylinder and the potential energy gained by the hollow sphere is PE_sphere.

PE_cylinder = mgh_cylinder  ... (1)

PE_sphere = mgh_sphere  ... (2)

Since the initial velocity and mass are the same for both objects, we can equate their potential energies:

PE_cylinder = PE_sphere

mgh_cylinder = mgh_sphere

h_cylinder = h_sphere

Therefore, the height to which the hollow sphere rolls up the incline is the same as the height to which the hollow cylinder rolls up, which is 1.0 m in this case.

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Find the distance between the points (-16, 20) and (-16, -14).2007(-16, 20)161284-20-16-12-8-4048121620-4-812(-16, -14)-16-20units

Answers

Point A

(-16, 20)

Point B

(-16, -14)

The Distance Formula itself is actually derived from the Pythagorean Theorem which is a

\(\begin{gathered} d=\sqrt[]{(y2-y1)^2+(x2-x1)^2} \\ d=\sqrt[]{(-14-20)^2+(-16-(-16}))^2 \\ d=\sqrt[]{(-34)^2} \\ d=34 \end{gathered}\)

The distance would be 34 units

pls help find interval notation

pls help find interval notation

Answers

Step-by-step explanation:

-2x - 7 > 1

-2x > 8

-x > 4

x < -4

that is a continuous line from -4 all the way to the left, and the dot on -4 is empty (meaning : it is not included due to the "<" symbol).

x - 2 >= -1

x >= 1

that is a continuous line from +1 all the way to the right, and the dot on +1 is filled (meaning : is IS included due to the ">=" symbol.

The daily cost of production in a factory is calculated using f(x)= 400+ 13x where x is thenumber of products made. Which set of numbers best defines the domain of f(x)?A) IntegersB) Positive real numbersC) Positive rational numbersD) Whole numbers

Answers

Recall that the domain of a function is the set of numbers to which the function is defined. That is, if you replace the value of the independant variable (normally represented as x), then the function will give another number as a result.

In this case, we are given the function 400+13x. Since x is the independant variable, to determine the domain we must think on what possible values the variable x can take. Since in this case x represents the number of products made, it is impossible that it takes negative values, since in real life you can't produce negative amounts of products.

So far, we know that x should be greater or equal to zero. Once again, in this context, it doesn't make sense that, for example, x=7.8, since this would mean that 7.8 number of products were made. Since x represents the number of products made, it can only take values as x=0,x=1, x=2, x=3 and so on.

This set receives the name of whole numbers.

a discount of 15% is allowed on an article. If a customer received 600.00 discount. find the actual paid on the article​

Answers

Answer:

Step-by-step explanation:

if 600 represents ........................15%

     x.................................................100%

(600*100)/15=4000

the customer paid

4000-600=3400

A 95% confidence interval for the mean body mass index (BMI) of young American women is 26.8 +0.6. One of your classmates interprets this interval in the following way: "The mean BMI of young American women cannot be 28." Is your classmate's interpretation correct? If not, what is the correct interpretation of the confidence interval? Incorrect. We are 95% confident that future samples of young women will have mean BMI between 26.2 and 27.4.
Incorrect. We are 95% confident that the interval from 26.2 and 27.4 captures the BMI of all young American women.
Correct. The interval states that the mean BMI of young American women is between 26.2 and 274, so the mean cannot be 28. Incorrect. We are 95%confident that the interval from 26.2 and 274 captures the true mean BMI of all young American women. Incorrect. If we take many samples, the population mean BMI will be between 26.2 and 27.4 in about 95% of those samples.

Answers

Incorrect. We are 95% confident that the interval from 26.2 and 27.4 captures the BMI of all young American women is the correct interpretation of the confidence interval.

A 95% confidence interval is a range of values that we can be 95% sure contains the true mean of the population. The 95% confidence interval for the mean body mass index (BMI) of young American women is 26.8 ± 0.6.

This means that we are 95% confident that the true mean BMI of young American women is between 26.2 and 27.4.

Consequently, the statement, "The mean BMI of young American women cannot be 28" is incorrect as the confidence interval does not include the value 28.

However, this does not imply that the true mean BMI of young American women cannot be 28.

A confidence interval is a statistical range that provides an estimate of the possible values for an unknown population parameter, such as a mean or proportion, based on a sample from that population. It provides a range of values within which the true population parameter is likely to fall, along with a specified level of confidence.

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ABCD is a parallelogram. solve for x
a) 21
b)20
c)10
d)5

ABCD is a parallelogram. solve for x a) 21 b)20c)10d)5

Answers

Answer:

D)5

Step-by-step explanation:

We know that opposite sides of a parallelogram are both congruent and parallel. So, we use the equation 3x+5=6x-10

Simplifying this we get x=5

Answer:

X = 5

Step-by-step explanation:

\(6x - 10 = 3x + 5 \\ 3x = 15 \\ x = 5\)

pls help if you can asap!!!!

pls help if you can asap!!!!

Answers

Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6

solve pls brainliest

solve pls brainliest

Answers

Answer:

3.275

Step-by-step explanation:

Just put the question in your scientific calculator

(e) At what point would the images of CD and AD have to intersect? Based on this, what can you conclude
about opposite sides and opposite angles of a parallelogram? Explain your answer.

Answers

EXERCISE 1

a In the triangles ABM and CDM :

1. angleBAM = angleDCM (alternate angles, AB || DC )
2. angleABM = angleCDM (alternate angles, AB || DC )
3. AB = CD (opposite sides of parallelogram ABCD)
triangleABM = triangleCDM (AAS)
b Hence AM = CM and DM = BM (matching sides of congruent triangles)

EXERCISE 2

From the diagram, 2α + 2β = 360o (angle sum of quadrilateral ABCD)
α + β = 180o
Hence AB || DC (co-interior angles are supplementary)
and AD || BC (co-interior angles are supplementary).
EXERCISE 3

First show that triangleABC ≡ triangleCDA using the SSS congruence test.
Hence angleACB = angleCAD and angleCAB = angleACD (matching angles of congruent triangles)
so AD || BC and AB || DC (alternate angles are equal.)
EXERCISE 4

First prove that triangleABD ≡ triangleCDB using the SAS congruence test.
Hence angleADB = angleCBD (matching angles of congruent triangles)
so AD || BC (alternate angles are equal.)
EXERCISE 5

First prove that triangleABM ≡ triangleCDM using the SAS congruence test.
Hence AB = CD (matching sides of congruent triangles)
Also angleABM = angleCDM (matching angles of congruent triangles)
so AB || DC (alternate angles are equal):
Hence ABCD is a parallelogram, because one pair of opposite sides are equal and parallel.

EXERCISE 6

Join AM. With centre M, draw an arc with radius AM that meets AM produced at C . Then ABCD is a parallelogram because its diagonals bisect each other.

EXERCISE 7

The square on each diagonal is the sum of the squares on any two adjacent sides. Since opposite sides are equal in length, the squares on both diagonals are the same.

EXERCISE 8

a We have already proven that a quadrilateral whose diagonals bisect each other is a parallelogram.
b Because ABCD is a parallelogram, its opposite sides are equal.
Hence triangleABC ≡ triangleDCB (SSS)
so angleABC = angleDCB (matching angles of congruent triangles).
But angleABC + angleDCB = 180o (co-interior angles, AB || DC )
so angleABC = angleDCB = 90o .
Hence ABCD is rectangle, because it is a parallelogram with one right angle.

EXERCISE 9

angleADM = α (base angles of isosceles triangleADM )
and angleABM = β (base angles of isosceles triangleABM ),
so 2α + 2β = 180o (angle sum of triangleABD)
α + β = 90o.
Hence angleA is a right angle, and similarly, angleB, angleC and angleD are right angles.

I really need help with part a and b, please help. Incorrect answers will be downvoted, correct answers will be upvoted. 1. The army is interested in characterizing the acoustic signature of a helicopter. The following data show measurements of acoustic pressure (made dimensionless) for a two-bladed helicopter rotor through of a rotor revolution. The data points are equally spaced in time, and the period of the data collection is of a second. p=00.00040.0015 0.0028 0.0040 0.0048 0.0057 0.0071 0.0095 0.0134 0.0185 0.02420.0302 0.0364 0.0447 0.0577 0.0776 0.0955 0.0907 -0.0477 -0.0812 -0.0563 -0.0329 -0.0127 0.0032 0.0147 0.0221 0.0256 0.0255 0.0222 0.0170 0.0112 0.0064 0.0035 0.0023 0.0020 0.0019 0.0016 0.0009 0.0002 a) Find the real discrete Fourier transform for this data set. (b) Any term in the Fourier series can be written: ak Cos(kwt)+bk sin(kwt) =ck Cos(kwt+$k) ak Find the ck's and plot their amplitude on a bar graph vs. k to illustrate the relative size of each term in the series. Explain the significance of the plot

Answers

(a) The real discrete Fourier transform (DFT) is calculated for the given data set to analyze the helicopter's acoustic signature.

(b) To obtain the ck values and illustrate the relative size of each term in the Fourier series, we calculate the magnitude of each coefficient and plot their amplitudes on a bar graph against the corresponding frequency component, k.

To analyze the helicopter's acoustic signature, the real DFT is computed for the provided data set. The DFT transforms the time-domain measurements of acoustic pressure into the frequency domain, revealing the different frequencies present and their corresponding amplitudes. This analysis helps in understanding the spectral characteristics of the helicopter's acoustic signature and identifying prominent frequency components.

Using the Fourier series representation, the amplitudes (ck's) of the different frequency components in the Fourier series are determined. These amplitudes represent the relative sizes of each term in the series, indicating the contribution of each frequency component to the overall acoustic signature. By plotting the amplitudes on a bar graph, the relative strengths of different frequency components become visually apparent, enabling a clear comparison of their importance in characterizing the helicopter's acoustic signature.

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URGENT PLZ GIVE STEP BY STEP INSTRUCTIONS!!!!

URGENT PLZ GIVE STEP BY STEP INSTRUCTIONS!!!!

Answers

It’s 6 because it’s challenging to figure it out but it’s six I just got the correct answer

pls help ill give brainliest i put pictute down

pls help ill give brainliest i put pictute down

Answers

Answer:

Option D

Step-by-step explanation:

Given the following question:

Airline makes $98,410
Truck driver makes $38,200

Annually means in a year so the airline makes $98,410 and the truck driver makes $38,200 in a year.

Now in order to find the amount the two make in 20 years we have to multiply:

\(98410\times20=1968200\)
\(38200\times20=764000\)

Now since the question asks "how much MORE" does the airline make we have to subtract:

\(1968200-764000=1204200\)
\(=1204200\)

The airline makes "$1,204,200 more dollars" than the truck driver, or option D.

Hope this helps.

Answer:

The answer is either D or B

Step-by-step explanation:

98,410 x 20 is 1,968,200 so

it might be closer to D or B instead.

Sorry if this is wrong.

But If it is right Can I get brainlest pls.

PLEASE NO LINKS AND NO NEGATIVITY

PLEASE NO LINKS AND NO NEGATIVITY

Answers

Answer:

$1.20 per chicken

Step-by-step explanation:

\(\frac{money} {chickens}\)

\(\frac{18}{15}\)

1.2

__________________________________________________________

Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

if cdg ~ edf what is the value of x

Answers

Answer:

250 in out to radical change

Explain your reasoning for why -3/4 is less than 5/8

Answers

Answer:

Step-by-step explanation:

-3/4 and 5/8

bc it's a negative number and not a positive number. When numbers are negative, the number keeps getting smaller and smaller. And when you add a positive number to a negative number, then the number will start increasing it's value.

Hope it helped a little

Help asp thank you show your work if you want

Help asp thank you show your work if you want

Answers

Answer:

\(y=-\frac{2}{3}x+1\)

Step-by-step explanation:

Parallel means same slope.

\(y=-\frac{2}{3}x+b\)

\(5=-\frac{2}{3} (-6)+b\)

5 = 4 + b

b = 1

\(y=-\frac{2}{3}x+1\)

Which point on the number line represents 1/4?

Which point on the number line represents 1/4?

Answers

1/5 hope this helps have a good day :)

Answer:

K

Step-by-step explanation:

A sphere has a diameter of 12 ft. What is the volume of the sphere? Give the exact value in terms of pi

Answers

8
is the answer hope that helps

Whats the answer y’all

Whats the answer yall

Answers

The expressions that will give you a difference of 5 are: -3 - (-8) and 1 - (-4).

What is the Difference of Two Expressions?

The difference of two expressions is determined by subtracting one from the other.

Find the difference of each of the expressions given to determine which will give us 5.

-3 - (-8)

= -3 + 8

= 5

-2 - 3 = -5 [this is not the same as 5]

1 - (-4)

= 1 + 4

= 5

7 - (-2)

= 7 + 2

= 9

-3 - (-8) and 1 - (-4) will give us a difference of 5.

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Use the Limit Comparison Test to determine whether the infinite series is convergent. [infinity] sigma n = 3 for (2n + 2)/(n(n − 1)(n − 2)) Identify bn in the following limit. lim n→[infinity] (an/bn) = lim n→[infinity] (2n + 2)/(n(n − 1)(n − 2)) = L Then determine weather the series converges or diverges

Answers

The required answer is lim(n→∞) (a_n/b_n) = lim (n→∞) ((2n + 2)/(n(n-1)(n-2))) / (1/n^2)

To use the Limit Comparison Test, we need to identify a series with known convergence properties that is similar to the given series. We can do this by finding bn in the following limit:

lim n→[infinity] (an/bn) = lim n→[infinity] (2n + 2)/(n(n − 1)(n − 2)) = L

To find bn, we need to look for a dominant term in the denominator that behaves similarly to n(n − 1)(n − 2). One such term is n^3, since it is the highest order term in the denominator. Therefore, we can set bn = n^3 and simplify the limit:

lim n→[infinity] (2n + 2)/(n(n − 1)(n − 2)) * (n^3)/(1) = lim n→[infinity] (2n + 2)/(n^4 - 3n^3 + 2n^2)

This limit can be evaluated using L'Hopital's Rule, which gives:

lim n→[infinity] (2n + 2)/(4n^3 - 9n^2 + 4n) = lim n→[infinity] (1/n^2)

Since the limit is a nonzero finite value, L = 1. By the Limit Comparison Test, the given series converges if and only if the series with general term bn = n^3 converges.

We know that the series with general term bn = n^3 is a p-series with p = 3, which converges since p > 1. Therefore, by the Limit Comparison Test, the given series also converges.

In summary, the given series is convergent.
To use the Limit Comparison Test, we first need to identify a simpler series b_n that we can compare the given series to. We are given the series an = (2n + 2)/(n(n-1)(n-2)). We can choose b_n = 1/n^2 since the highest degree in the numerator and denominator are the same.

Next, we'll calculate the limit L as n approaches infinity of the ratio a_n/b_n:
lim(n→∞) (a_n/b_n) = lim(n→∞) ((2n + 2)/(n(n-1)(n-2))) / (1/n^2)

To simplify the expression, we can multiply the numerator and denominator by n^2:
A divergent series is an infinite series that is not convergent, which means that the infinite sequence of the series partial sums has no finite limit.


lim (n→∞) ((2n + 2)n^2) / (n(n-1)(n-2))

Now, we'll divide each term by n^2 to simplify the limit expression:

lim (n→∞) (2 + 2/n) / ((1)(1-1/n)(1-2/n))

As n approaches infinity, the terms with n in the denominator approach 0:

lim (n→∞) (2) / (1) = 2

Since L = 2 is a finite positive number, the Limit Comparison Test tells us that the original series a_n converges or diverges based on the behavior of the series b_n. We know that the series b_n = 1/n^2 is a convergent p-series with p = 2, which is greater than 1. Therefore, the series b_n converges.
A series said to be convergent when  the limits of the series converges to the finite possible value for the series.
Since bn converges and L is a finite positive number, we can conclude that the original series a_n also converges according to the Limit Comparison Test.

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What is the equation of the line given slope of 2 and
ordered pair (3,5)

Answers

Step-by-step explanation:

y-5 = 2(x-3)

y-5 = 2x -6

y = 2x -1

what is the distance from amelia to the top of the tower? type your answer in the box. use numerals instead of words. the distance from amelia to the top of the tower is feet.

Answers

The distance from Amelia to the top of the tower is 100 feet.

Define trigonometric identities.

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate a triangle's side length and angle. Trigonometry is the study of angles and the angular relationships between planar and three-dimensional shapes. The cosecant, cosine, cotangent, secant, sine, and tangent are among the trigonometric functions (also known as the circle functions) that make up trigonometry.

Given,

Considering the query;

The tower has a 50-foot height.

Amelia's position and the top of the tower form a 30° angle.

Trigonometric identities, therefore;

Thus,

x = 50/sin30°

sin 30° = 50/x.

x = 50/0.5

x = 100 ft.

The distance from Amelia to the top of the tower is 100 feet.

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11.72 Deferred tax allowance study. A study was conducted to identify accounting choice variables that influence a man- ager's decision to change the level of the deferred tax asset allowance at the firm (The Engineering Economist, Jan/Feb. 2004). Data were collected for a sample of 329 firms that reported deferred tax assets in 2000. The dependent variable of interest (DTVA) is measured as the change in the de- ferred tax asset valuation allowance divided by the deferred tax asset. The independent variables used as predictors of DTVA are listed as follows: LEVERAGE: 1 x1 = ratio of debt book value to share- holder's equity BONUS: X2 = 1 if firm maintains a management bonus plan, 0 if not MVALUE: X3 = market value of common stock ww = BBATH: *4 = 1 if operating earnings negative and lower than last year, 0 if not EARN: xs = change in operating earnings di- vided by total assets A first-order model was fit to the data with the following results (p-values in parentheses): R2 = 280 , $ = .044 + .006 035x2 - .001x3 + 296x4 + ,010xs (.070) (.228) (.157) (.678) (.001) (.869) a. Interpret the estimate of the B coefficient for x4. b. The "Big Bath" theory proposed by the researchers states that the mean DTVA for firms with negative earnings and earnings lower than last year will exceed the nean DTVA of other tirons. Is there evidence to support this theory? Test using a = .05. c. Interpret the value of R. 11 צזזה ח

Answers

a) The estimate of the B coefficient for x4 is 296.

b)   The p-value for x4 is 0.678, which is greater than the significance level (α = 0.05).

c)   In this case, approximately 28% of the variance in the change in the deferred tax asset valuation allowance divided by the deferred tax asset can be explained by the independent variables (LEVERAGE, BONUS, MVALUE, BBATH, EARN) included in the model.

a. The estimate of the B coefficient for x4 is 296. This means that, holding other variables constant, a one-unit increase in x4 (BBATH) is associated with an average increase of 296 units in the change in the deferred tax asset valuation allowance divided by the deferred tax asset (DTVA).

b. To test whether there is evidence to support the "Big Bath" theory, we need to examine the significance of the coefficient for x4 (BBATH). The p-value for x4 is 0.678, which is greater than the significance level (α = 0.05). Therefore, we do not have sufficient evidence to support the "Big Bath" theory based on this sample.

c. The value of R-squared (R²) is 0.280. R-squared represents the proportion of the variance in the dependent variable (DTVA) that can be explained by the independent variables in the model. In this case, approximately 28% of the variance in the change in the deferred tax asset valuation allowance divided by the deferred tax asset can be explained by the independent variables (LEVERAGE, BONUS, MVALUE, BBATH, EARN) included in the model.

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Two mechanics were working on your car. One can complete the given job in six hours, but the new guy takes eight hours. They worked together for the first two hours, but then the first guy left to help another mechanic on a different job. How long will it take the new guy to finish your car?

Answers

The time required for the new guy to finish the car is given by the equation A = 10/3 hours = 3 1/3 hours

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the time required for the new guy to finish the car be A

Now , the equation will be

The total time worked by the two mechanics = 2 hours

The time for the 1st person to finish the car = 6 hours

So , the amount of work done in 2 hours by 1st person = 2/6 = 1/3 of total

The time for the 2nd person to finish the car = 8 hours

So , the amount of work done in 2 hours by 2nd person = 2/8 = 1/4 of total

And , the remaining work = 1 - ( 1/3 + 1/4 )

On simplifying the equation , we get

The remaining work = 1 - ( 7/12 ) = 5/12 of the work

Now , the time required for the 2nd person to complete 5/12 of the work =

A = 5/12 x 8

A = 5 x 2/3

A = 10/3

A = 3 1/3 hours = 3 hours and 20 minutes

Hence , the time required is 3 hours and 20 minutes

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you write the letters of the word regulate on separate slips of paper and place them in a bowl. you draw 3 slips of paper from the bowl (without replacement). which answer is a possible subset for the sample space?

Answers

Answer: {E,G,E}

Step-by-step explanation:

i just did it

1000
900
800
Q3.A landscaping company offers their services as following:
$240 for a full landscape plan, plus $30 per hour to do the work
Display this data on the grid below. Label carefully both the axes.Identify the variables and explain why
you think this is a linear relation. What is the initial value for the relation and the rate of change.
Time (hours)
Cost ($)
6
2
4
8
10
12
14
0

Answers

The independent variable is time (hours), and the dependent variable is cost ($). The given relation is linear because it has a constant rate of change. The initial value for this relation is $240 and the rate of change is $30 per hour.

The table for the given relation is

Time (hours)                  Cost ($)

    0                                    240

    2                                    300

    4                                    360

    6                                    420

    8                                    480

    10                                   540

    12                                   600

    14                                   660

In this relation, the independent variable is time (hours), and the dependent variable is cost ($). The time is the input to the relation, and the cost is the output that is dependent on the input.

We can see that this relation is linear because it has a constant rate of change. The cost increases by $30 for each hour of work, which means that the slope of the line is constant.

The initial value for this relation is $240, which represents the cost of the full landscape plan. The rate of change is $30 per hour, which represents the additional cost for each hour of work. Therefore, the equation for this linear relation is

Cost = 30 x Time + 240

where "Cost" is the cost in dollars, "Time" is the time in hours, 30 is the rate of change, and 240 is the initial value.

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(Chapter 12) If u * v = 0 and u X v = 0, then u or v = 0

Answers

Therefore, in either partial derivatives, we have u = 0 or v = 0.

The given information implies that two vectors u and v satisfy:

u * v = 0, where * denotes the dot product between vectors.

u X v = 0, where X denotes the cross product between vectors.

From the first equation, we know that the angle between u and v is either 90 degrees or 270 degrees. That is, u and v are orthogonal (perpendicular) to each other.

From the second equation, we know that the magnitude of the cross product u X v is equal to the product of the magnitudes of u and v multiplied by the sine of the angle between them. Since u and v are orthogonal, the angle between them is either 90 degrees or 270 degrees, which means that the sine of the angle is either 1 or -1. Therefore, we have:

|u X v| = |u| * |v| * sin(θ)

= 0

Since the magnitudes of u and v are non-negative, it follows that sin(θ) must be zero. This can only happen if the angle between u and v is either 0 degrees (i.e., u and v are parallel) or 180 degrees (i.e., u and v are anti-parallel).

In the case where u and v are parallel, we have:

u * v = |u| * |v| * cos(θ)

= |u|²

= 0

This implies that |u| = 0, which means that u = 0.

In the case where u and v are anti-parallel, we have:

u * v = |u| * |v| * cos(θ)

= -|u|²

= 0

This again implies that |u| = 0, which means that u = 0.

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Two planes fly in opposite directlons. One travels 475m(i)/(h) and the other 525m(i)/(h). How long will it take before they are 5,000 mi apart? hr Additional Materials

Answers

It will take approximately 9.5 hours for the planes to be 5,000 miles apart.

To find the time it takes for the planes to be 5,000 miles apart, we can divide the distance by the combined speed of the planes. The combined speed is 475 + 525 = 1000 mph. Therefore, the time is 5,000 / 1000 = 5 hours. Since the planes are flying in opposite directions, we need to double the time, resulting in approximately 9.5 hours.

To calculate the time it takes for the two planes to be 5,000 miles apart, we can divide the distance by the combined speed of the planes. The first plane travels at a speed of 475 mph, while the second plane travels at a speed of 525 mph. Adding these speeds together gives us a combined speed of 1,000 mph.

Dividing 5,000 miles by 1,000 mph results in 5 hours. However, since the planes are flying in opposite directions, we need to double the time. Therefore, it will take approximately 9.5 hours for the planes to be 5,000 miles apart.

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Ignoring mixed strategies, does the following game have a Nash equilibrium? Does it have more than one Nash equilibrium? If so, what are they? Player 2 West East North 2.1 1000, 900South 3, 2 1, 2

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The answer is Yes. The given game has a Nash equilibrium. The Nash equilibrium for the given game is (North, West).

In a Nash equilibrium, each player's approach is the finest response to the other player's technique. In this  Nash equilibrium game, if Player 1 selects North and Player 2 selects West, both players will obtain their highest payoff. The payoffs are like 100 for player 1 and 900 for player 2.

If Player 1 were to turn from North to South, their payoff would drop from 1000 to 3. If Player 2 were to turn from West to East, their payoff would drop from 900 to 1. Therefore, neither player has the incentive to deviate from the strategy and make it a Nash equilibrium.

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