Leslie is buying potatoes at a store. This graph shows the relationship between the number of pounds of potatoes she buys and the total cost.
The picture shows a line graph, titled Cost of Potatoes. The horizontal axis is labeled, Weight of Potatoes in pounds. The values shown on the horizontal axis are zero through five. The vertical axis is labeled Cost in Dollars. The values shown on the vertical axis are zero through five. The line on the graph starts at zero pounds and zero dollars. The line moves in the upward direction. It passes through the point two pounds and one and one-half dollars. It also passes through the point four pounds and three dollars.


Based on the graph, what is the unit cost, in dollars, of the potatoes?

The lowest extreme or smallest value among the supplied possibilities is A. \(120\) because it has the absolute lowest.

The set of integer arithmetic ranges from -1 to negative infinity, with -1 being the biggest negative number and negative infinity being the lowest. As a result, there is no such thing as the smallest negative number.

The largest negative value is 1, or -1. From then, the numbers increase until they reach zero. When they approach negative infinity, there exists an unlimited amount of negative numbers. Hence, there are no negative integers with the lowest value.

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Answer:

1.99 x 10 ^20 N

Step-by-step explanation:

Just substitute in the values given

F = (6.67x 10^-11) * (5.97x10^24)(7.36 x 10^22)  / ( 3.84 x 10^8) ^2

  = 1.99 x 10^20  N

Answer:

So I added, 1.9, 0.1, 7.7, 6.8, 6, 7, 7.8, 2.8, 6.9, 3.5, which equals 50.5.

Then, I divided 50.5 by 9 since that is how many number sections there are.

Therefore, I get 5.61.

If the price of the stock is now $2.40 then the original stock price was $10.

In order to determine the original stock price, we need to work backwards from the current price of $2.40 and the percentage drops of 40% and 60%.

Let's assume that the original stock price was "x".

Then, we know that the stock price fell by 40% when the company overestimated demand.

This means that the new stock price was 60% of the original price (100% - 40% = 60%).

So, after the first drop, the stock price was:0.6x

Next, the company was forced to recall the seats due to them deflating in heat.

This caused the stock price to drop by another 60%, but from the new lower price of 0.6x.

This means that the new stock price was 40% of the previous price (100% - 60% = 40%).

So, after the second drop, the stock price was:0.4(0.6x) = 0.24x

Finally, we are given that the current stock price is $2.40.

Setting this equal to the second drop price, we can solve for "x":0.24x = 2.40x = $10

Therefore, the original stock price was $10.

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the answer

155

324

5/9 (87/3(1/12)= 155/324

The equations represent the given situation is:

2x - y = -6

3x - y = -5

where, x is the smaller number and y is the larger number.

Let the smaller number be x.

We have been given a number, y, is equal to twice the sum of a smaller number and 3

So, we get an equation,

y = 2(x + 3)

y = 2x + 6                        

2x - y = -6

The larger number is also equal to 5 more than 3 times the smaller number.

So, we get an equation,

y = 5 + 3x                        

3x - y = -5

Therefore, the equations represent the situation:

2x - y = -6

3x - y = -5

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According to the information, we can infer that A. 1: Real, Rational, Integer, Whole, Natural, B. 5.1: Real, Rational, C. √(-142): Non-real, D. \(\pi\) (Pi): Irrational, Real, E. 2/3: Rational, Real, F. ∛(-27): Non-real, G. 0.671: Real, Rational, H. 3√7: Irrational, Real, I. 0: Real, Rational, Integer, Whole, Natural, J. -√16: Real, Rational.

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the optimal values of O, 6, and ik to maximize the lower bound are O = (Yk1*x1 + Yk2*x2)/(Yk1+Yk2), 6 = (Yk1*hatmu_k1 + Yk2*hatmu_k2)/(Yk1+Yk2), and ik = Yk1/(Yk1+Yk2), where Yk1 and Yk2 are the probabilities of y=k given x1 and x2  

The question is asking for the optimal values of O, 6, and ik to maximize the lower bound, given that p(y=k|x,60) is fixed. We are given two data points x1 and x2, and we define Yki as the probability of y=k given xi, for i=1,2.

To find the optimal O, we can use the formula for the lower bound and take the derivative with respect to O, then set it to zero and solve for O. This gives us O = (Yk1*x1 + Yk2*x2)/(Yk1+Yk2).

To find the optimal 6, we can similarly take the derivative of the lower bound with respect to 6, set it to zero, and solve for 6. This gives us 6 = (Yk1*hatmu_k1 + Yk2*hatmu_k2)/(Yk1+Yk2), where hatmu_k is the expected value of x given y=k.

Finally, to find the optimal ik, we can use the constraint that i1+i2=1 and the formula for the lower bound. We take the derivative of the lower bound with respect to ik, set it to zero, and solve for ik in terms of Yk1 and Yk2. This gives us ik = Yk1/(Yk1+Yk2).

Therefore, the optimal values of O, 6, and ik to maximize the lower bound are O = (Yk1*x1 + Yk2*x2)/(Yk1+Yk2), 6 = (Yk1*hatmu_k1 + Yk2*hatmu_k2)/(Yk1+Yk2), and ik = Yk1/(Yk1+Yk2), where Yk1 and Yk2 are the probabilities of y=k given x1 and x2, and hatmu_k1 and hatmu_k2 are the expected values of x given y=k for each data  point.

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The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

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Answer: Factoring is essentially the reverse of the distributive property. You are basically trying to simplify the polynomial by taking out common factors. You also may try reducing the power (or the highest exponent) of the polynomial with factoring. I would say that factoring is the breaking down of a bigger polynomial into a product of two expressions that are usually multiplied by each other. One specific use of factoring we see a lot is the quadratic formula.

1. Quadratic Factoring --> \(x^2+2x-15\) --> we have an \(x^2\) but we want there to only be "\(x\)"s. Here we need to constant numbers (integers), that multiply together to get \(-15\), and add up to \(+2\). (5 and -3)

    - \(x^2+2x-15\) ==> \(x^2+5x-3x-15\) ==> \(x(x+5)-3(x+5)\) ==> \((x-3)(x+5)\)

Above: We can see that we factor out \(x\) from \(x^2+5x\) (This shows that we are aiming to break it down to make it easier to evaluate).

Remember: Factoring does not always mean that the polynomial is in a simpler form. There are many situations where factoring is totally unnecessary and complicates the polynomial even more.

--------------------------------------------------------------------------------------------------------------On a separate note: Distributive Property, if you are unsure or not fully sure on what that means, is when you multiply two expressions together to create one expression. Multiple expressions are combining into one.

Answer:

In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.

Hope this helps!

If you need a more in-depth answer, don't hesitate to ask!

Answer:

elimantion method in elimantion method, the coffecients of the given equations are mulitiplied by a constant to make the coffiecents of one variable  in the same in both equations. Finally any one variable remains at the end, which can then be easily solved.

Step-by-step explanation:

Answer:

81 hours

Step-by-step explanation:

1. How much does she work in all of the 6 days.

1answer. 72

1explain. 6 · 12 = 72

2. You need to add 72 to 9

2answer. 81

2explain: 2 + 9 = 11 and 70 + 11 =81

3. You get 81 hours.

We will have the following:

*We know that a line will be parallel to other line if they have the same slope, so the line that will be parallel to N will be:

*First: We solve for y for N:

So, the parallel line could be:

[Option A]

Answer:

27

Step-by-step explanation:

Number of member of staff that drank tee = total number of member of staff - number that drank coffee - number that drank both tea and coffee

100 - 48 - 25 = 27 members of staff

Answer: there is no answer

Step-by-step explanation: if the whole sentence is letters it is not answerable

Answer: Number 4 is the Bottom Bubble

Number 5 is the 2nd bubble

Step-by-step explanation:

0.012, 0.12, 1.2, 12

9.68, 9.7, 9.71, 9.90

Step-by-step explanation:

1 - (0.012 , 0.12 , 1.2 ,12)

2- (9.68 , 9.7 , 9.71 , 9.90)

The values are;

⇒ F ∩ H = Ф

⇒ F ∪ H = (- ∞, 7]

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

F and H are defined as;

F = {v | v < 4 }

H = {v | v ≥ 7 }

Now,

Since, F and H are defined as;

F = {v | v < 4 }

H = {v | v ≥ 7 }

Hence, The values are;

F ∩ H = {v | v < 4 } ∩  {v | v ≥ 7 }

         = Ф

And, F ∪ H = {v | v < 4 } ∪  {v | v ≥ 7 }

                 = (- ∞, 7]

Thus, The values are;

⇒ F ∩ H = Ф

⇒ F ∪ H = (- ∞, 7]

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Answer:

-------------------

Step-by-step explanation:

The given parameterization x(t) y(t) 3t 6 is equivalent to the one we found since 3t is the same as z(t) and 6 is the same as the starting value of z(t), which is 3.

To find the parameterization of the line l in r3 that passes through the points (0,1,3) and (8,7,9), we can use the following formula:

x(t) = x1 + (x2 - x1)t
y(t) = y1 + (y2 - y1)t
z(t) = z1 + (z2 - z1)t

where x1, y1, and z1 are the coordinates of the first point and x2, y2, and z2 are the coordinates of the second point.

Using this formula, we have:

x(t) = 0 + (8 - 0)t = 8t
y(t) = 1 + (7 - 1)t = 1 + 6t
z(t) = 3 + (9 - 3)t = 3 + 6t

Therefore, the parameterization of the line l in r3 is:

x(t) = 8t
y(t) = 1 + 6t
z(t) = 3 + 6t

Note that the given parameterization x(t) y(t) 3t 6 is equivalent to the one we found since 3t is the same as z(t) and 6 is the same as the starting value of z(t), which is 3.

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Answer f

Step-by-step explanation:

Total time = 2 hours

Time playing video games = 50 minutes

We have to write an equation:

Total time (2hours) multiplied by the percentage in decimal form (x) must be equal to 50 minutes

Time must be in the same unit ( minutes)

since 60 minutes =1 hour

2 hours = 2 (60) =120 minutes

Back with the equation:

120 x = 50

Solving for x

x = 50/120

x = 0.42

In percentage form:

0.42 x 100 = 42%

Answer:

  \(\frac{1}{4} X 8\frac{1}{5}\)    =   \(\frac{41}{20}\)

Step-by-step explanation:

Given

          \(\frac{1}{4} X 8\frac{1}{5}\)

on simplification , we get

    = \(\frac{1}{4} X \frac{41}{5}\)

    = \(\frac{41}{20}\)

Answer:

1. 7(g-5)

2. 12(5m+2n)

3. 2(11w+5)

4. 8(5a+b-3)

5. 4(r+7t-10)

Step-by-step explanation:

simply take out the most common multiple of these numbers

The amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

In the question, we are informed that the triangle KLM, represents a section of a park set aside for picnic tables. We are also informed that the picnic area will take up approximately 400 square yards of the park.

We are asked for the amount of fencing needed to surround the perimeter of the picnic area of the park.

We know the area of a triangle can be found using the trigonometric area formula, Area = (1/2)ab sin C.

Using this in the given triangle KLM, we get:

Area = (1/2)(KL)(KM)(sin K),

or, 400 = (1/2)(KL)(45)(sin 25°),

or, KL = (400*2)/(45*sin 25°) = 800/(45*0.42262) = 800/19.017822 = 42.0658 ≈ 42 yd.

Thus, we get KL = 42 yards.

Now, the perimeter of the picnic area = the perimeter of the triangle KLM = KL + LM + MK = 42 + 20 + 45 yards = 107 yards.

Thus, the amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

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Answer: b

Step-by-step explanation:

For a taxable income of $1,80,900, the effective tax rate is 21.11%.

Marginal tax is the tax rate applied to an individual’s last dollar of income. It is the additional tax that must be paid on any additional income earned. In other words, it is the tax rate that applies to an individual’s income after all deductions. For example, if an individual’s income is $50,000 and the marginal tax rate is 25%, then the individual must pay an additional $12,500 in taxes on top of the $25,000 in taxes already paid on their $50,000 income.

Marginal tax rates are progressive, meaning that as an individual’s income increases, the marginal tax rate will increase as well. The marginal tax rate is important to understand because it helps individuals determine how much additional income they will need to earn in order to make up for the taxes they will have to pay on that income. It is also important to understand how marginal tax rates can affect tax planning strategies.

To determine the effective tax rate for a taxable income of $180,900, calculate the sum of the marginal tax rates for each tax bracket that the $180,900 falls into. The taxable income of $180,900 is greater than $89,075 and less than $170,050. The marginal tax rates for these two tax brackets are 22% and 24%, respectively. The sum of the marginal tax rates is 46%. Divide the sum by the taxable income of $180,900 to get the effective tax rate of 21.11%. Round the final answer to the nearest hundredth to get 21.11%.

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Answer:

Please check the explanation.

Step-by-step explanation:

We know that when y varies directly with x, we get the equation

y ∝ x

y = kx

k = y/x

where 'k' is called the 'constant of direct variation'.

We are given that x = -2 and y = -2

Thus,

The equation is:

y = kx

substituting x = -2 and y = -2

-2 = k(-2)

-2 = -2k

We can further simplify the equation to determine the value of 'k'

so

dividing the equation by -2

-2/-2 = -2k/-2

1 = k

Therefore, the value of k = 1

Thus, the equation becomes

y = kx

substituting k = 1 in the equation

y = (1)x

y = x

Therefore, an equation that relates x and y is:

y = x

Answer:

the second one is C

Step-by-step explanation:

Answer:

288

Step-by-step explanation:

Answer:

25 miles per hour

Step-by-step explanation:

divide 150 by 6 to find the unit rate, which is 25 miles per hour.