what are the factors to 424,380

the answer would be 100 pounds of chicken and 30 pounds of beef

The graph of the polar equation r = 2 - 4cos(θ) exhibits symmetry, zeros, maximum r-values, and additional points that can help us sketch the graph.

The equation r = 2 - 4cos(θ) represents a cardioid shape. It has symmetry about the polar axis (θ = 0) due to the even nature of the cosine function.

To find the zeros, we set r = 0 and solve for θ. Setting 2 - 4cos(θ) = 0, we find cos(θ) = 1/2, which occurs at θ = π/3 and θ = 5π/3. These are the two points where the graph intersects the polar axis.

The maximum r-value occurs when cos(θ) = -1, which happens at θ = π. At this point, r = 6, indicating the maximum distance from the pole.

Additional points can be found by substituting different values of θ into the equation. By choosing θ = π/6, π/4, π/2, 3π/4, and 7π/6, we can calculate the corresponding r-values and plot these points on the graph.

By considering these symmetry, zeros, maximum r-values, and additional points, we can sketch the graph of the polar equation r = 2 - 4cos(θ) accurately.

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Answer:

10

Step-by-step explanation:

The profit exceeds the cost as y > 1000 + 15x. So, option 1 is correct.

Gaining anything is known as profit. When the Selling price ( SP ) of the product is more than the cost price ( CP ) of the product, we gain profit. Opposite to the profit is loss i.e. losing anything is called loss. When the Selling price ( SP ) of the product is less than the cost price ( CP ) of the product, we get a loss.

Profit can be calculated by the formula,

Profit   =   Selling Price - Cost price

      P   =   SP - CP

Loss can be calculated by the formula,

Loss   =   Cost price - Selling price

    L    =   CP - SP

As per the question,

⇒  When y > 1000 + 15x, then profit exceeds cost:

Therefore, the graph in the 1st option is correct as the profit exceeds the cost.

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The complete question is

The required probability that she'll use a cab exactly one time is  4/9.

probability is a part of math that arrangements with figuring out the probability of the event of an occasion.

Elizabeth lives in San Francisco and works in Mountain View.

In the first part of the day she has 3 transportation choices  (bus, cab, train) to work, and at night she has similar 3 options for her outing home.

All transportation  (bus, cab, train) are comparably liable to be chosen, and 1 of them should be chosen in the first part of the day and night, so we get:

P (bus) = P (taxi) = P (train) = 1/3.

We additionally have P(no taxi in night) = P(no taxi at morning) = 2/3

Presently, P(using taxi precisely once) = P(cab at morning and no taxi at night) + P(no taxi at morning and taxi at night)

= P(cab, no taxi) + P(no taxi, taxi)

= 1/3 × 2/3 + 2/3 × 1/3

= 2/9 + 2/9

= 4/9

Consequently, the probability that Elizabeth utilizes a taxi just once is 4/9.

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So the values of n that make each equation true are 9, 15, 48, 12, 81, and 18, respectively.

To find the value of n that makes each equation true, we need to isolate the variable n on one side of the equation by using inverse operations.

Divide both sides by 3 to get n by itself:
n = 27/3
n = 9

Add 3 to both sides to isolate the variable:
2n = 30

Divide both sides by 2 to get n by itself:
n = 15

Subtract 3 from both sides to isolate the variable:
n/2 = 24

Multiply both sides by 2 to get n by itself:
n = 48

Subtract 3 from both sides to isolate the variable:
2n = 24

Divide both sides by 2 to get n by itself:
n = 12

Multiply both sides by 3 to get n by itself:
n = 81

Multiply both sides by 2 to get rid of the fraction:
3n = 54

Divide both sides by 3 to get n by itself:
n = 18

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Answer:

1056

Step-by-step explanation:

The computation of the area of the rectangle is shown below;

But for that first we have to compute the area of square which is

As we see in the diagram that there are 9 square sides

i.e 1,4,7,8,9,10,14,15 & 18

And, as we know that

Area of Square  is

\(= Side^2\)

\(1^2 = 1\)

\(4^2 = 16\)

\(7^2 = 49\)

\(8^2 = 64\)

\(9^2 = 81\)

\(10^2 =100\)

\(14^2 = 196\)

\(15^2 = 225\)

\(18^2 = 324\)

So, the Total Area is

= 1 + 16 + 49 + 64 + 81 + 100 + 196 + 225 + 324

= 1056

Area of rectangle = 1056  

So, it can come from

\(1056 = 33 \times 32\)

As the area of rectangle is

\(= length \times width\)

Answer:

A=7.5

Step-by-step explanation:

A=a+b

2h=1+2

2·5=7.5

Answer:

$210.25

Step-by-step explanation:

Answer:

\(31.98\)

Step-by-step explanation:

Given the following question:

41% of 78

In order to find the answer, we will use the formula to calculate percentages and solve.

\(\frac{p\times n}{100}\)
\(\frac{41\times78}{100} =41\times78=3198\div100=31.98\)
\(=31.98\)

41% of 78 is indeed "31.98."

Hope this helps.

Courts have frequently ruled against the implementation of speech codes in colleges and universities due to their constitutionally problematic nature.

These codes have been found to violate the principles of free speech and expression guaranteed by the First Amendment  of the United States Constitution. Speech codes at educational institutions typically impose restrictions on certain types of speech deemed offensive or discriminatory. However, these restrictions often infringe upon individuals' rights to express their opinions and engage in robust discussions.

Courts have consistently recognized that public colleges and universities, as state actors, are bound by the First Amendment and must uphold individuals' rights to free speech. Thus, speech codes that excessively limit or suppress protected speech have been deemed unconstitutional and have faced legal challenges resulting in rulings against their implementation. The courts' decisions reinforce the importance of safeguarding free speech rights in the academic environment while promoting diverse and open discourse.

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Answer:

It is 3/2, I got it right on my exam.

Step-by-step explanation:

Dilation is a transformation that allows you to resize an object. The dilation factor of the given point is 3/2.

Dilation is a transformation that allows you to resize an object. Dilation is a technique for making items bigger or smaller. This transformation yields a picture that is identical to the original shape. However, there is a size discrepancy in the form.

Given the dilation of the k around the origin as K = (2,4) → (3,6), therefore, the point k is dilated 1 unit to the right and 2 units upwards.

Let the dilation factor be represented by a, then,

2 × a = 3

a = 3/2

Similarly for the y-axis,

4 × a = 6

a = 6/4 = 3/2

Hence, the dilation factor of the given point is 3/2.

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Answer:

19

Step-by-step explanation:

5² - (2.1 + 5.4) + 1.5

Add

= 5² - 7.5 + 1.5

Evaluate the power

= 25 - 7.5 + 1.5

Subtract

= 17.5 + 1.5

Add

= 19

Answer:

83/100

Step-by-step explanation:

Decimals to fractions

Histograms can be used to observe where the data tends to cluster.

What is a histogram?

A histogram is a visual depiction of data points arranged into ranges that the user has chosen. The histogram, which resembles a bar graph in appearance, groups numerous data points into comprehensible ranges or bins in order to compress a data series into an easily understood visual.

Histogram is used when data is in numbers and data tends to cluster. It is used to examine the data distribution's form. It is even used to evaluate whether the output differs when two or more processes are involved.

Hence, histograms can be used to observe where the data tends to cluster.

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Answer: N =

Step-by-step explanation:

- So, we're trying to find a value of N, so we can use one of the equations, isolate x, and create a new equation to find a value that N can equal.

- It's up to you which one to choose, but I suggest isolating the fraction. X is equal to 1/70N. Now, plug that into the first equation, which should be 1/70N + N = 71/10.

N can also be written as 70/70N, because that's equal to 1 N, our current value of N.

71/70N = 71/10

. Find a value of N that makes the statement equivalent. In this case, N = 7 works.

In the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units.

In the best-case scenario analysis for Automatic Transmissions, Inc.'s new gear assembly project, the company assumes the upper limit of the ±15 percent range for its estimates. For the price per unit, they take a 15 percent increase, resulting in a value of $1081. Similarly, the variable cost per unit is increased by 15 percent to $391. The fixed costs are also adjusted upwards by 15 percent, reaching $3.91 million. Finally, the quantity is decreased by 15 percent, leading to a value of 45,050 units.

On the other hand, in the worst-case scenario analysis, the company assumes the lower limit of the ±15 percent range for its estimates. The price per unit is decreased by 15 percent, resulting in $799. The variable cost per unit is decreased to $289. The fixed costs are adjusted downwards to $2.89 million. Lastly, the quantity is increased by 15 percent to 60,950 units.

Therefore, in the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units

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Answer:          

$348.40 would be the 40% mark up price

Answer: See explanation

Step-by-step explanation:

You invest ​$2,500 in each of two accounts. Account A earns simple interest at a rate of ​2% over 4 years.

Interest = PRT / 100

= (2500 × 2 × 4) / 100

= 20000 / 100

= $200

Account B earns simple interest at a rate of ​6% over 18 months.

Interest = PRT / 100

= (2500 × 6 × 1.5) / 100

= 22500 / 100

= $225

Interest for account B is more than that of account A at a shorter period of time.

An example of two principal amounts and two simple interest rates that would earn equal amounts of interest in one year will be:

A: Principal = $2000

Interest rate = 3%

Simple interest = (2000 × 3 × 1)/100 = $60

B. Principal = $3000

Interest rate = 2%

Simple interest = (3000 × 2 × 1) / 100

= 6000 / 100

= $60

The graph that represents Ramon's initial step is, On a coordinate plane, the point (0, 3) is graphed.

The ordinate and abscissa of the x coordinate, along with two values specified in parentheses in a specific order, make up an ordered pair.

Pair in Order = (x, y) where x represents the abscissa, the measure of a point's separation from the main axis, and y represents the ordinate, the measure of a point's separation from the secondary axis.

Given, Ramon is graphing the function f(x) = 3 + (4)x.

We know the initial value of a function is determined when the independent variable is set to zero.

Here the independent variable is 'x'.

Now, at x = 0,

f(0) = 3 + (4)(0).

f(0) = 3.

So, The ordered pair is (0, 3).

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Answer:

a

Step-by-step explanation:

The simplified and rationalized expression is: (4√3)/x.

To simplify the expression and rationalize the denominator, we need to rewrite the expression with a rational denominator.

First, let's simplify the expression: √3 4/0.5x.

To simplify the square root term, we can write it as: √(3 * 4)/(0.5x).

Simplifying the numerator: √12/(0.5x).

Next, let's rationalize the denominator by multiplying both the numerator and the denominator by 2:

(√12 * 2)/((0.5x) * 2).

Simplifying further: (2√12)/(1x).

Finally, simplifying the square root term: (2√(4 * 3))/x.

Simplifying the square root: (2 * 2√3)/x.

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1 . 6 8 10

2. 18 24 30

3. 10 5 5√5

4. 5 5 5√2

5. a a a√2

6. 3√3 3 6

The equations given are x - 5y = 3 and 3x - 2y = -4. To find the solution to this system of equations, we need to find the values of x and y that satisfy both equations simultaneously.

One way to solve this system of equations is by substitution. We can solve one equation for x or y, and then substitute that expression into the other equation to eliminate one variable. Let's solve the first equation for x:

x - 5y = 3

x = 5y + 3

Now we can substitute this expression for x into the second equation:

3x - 2y = -4

3(5y + 3) - 2y = -4

15y + 9 - 2y = -4

13y = -13

y = -1

We can now substitute this value for y back into either equation to find the value of x:

x - 5y = 3

x - 5(-1) = 3

x + 5 = 3

x = -2

Therefore, the solution to the system of equations x - 5y = 3 and 3x - 2y = -4 is (-2, -1). This is the point where the solid line and dotted line intersect, as shown in the image.

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Answer:

If Jorge goes up 25 (positive) and then goes 75 steps south (negative). Then you have to calculate 25-75. This equals -50. We know negative distance is south so he's final position will be 50 steps south.

Step-by-step explanation:

Answer:

20 Feet

Step-by-step explanation:

If the trucks are all 7 feet tall, and 6 feet wide, then we can find out how long we need the truck to be by using this equation:

(l = length)

7 × 6 x l = 840

Or we can simply multiply 6 and 7 then divide 840 by that number.

6 × 7 = 42

840 ÷ 42 = 20

The truck would need to be 20 feet long to carry all of your furniture.

The supplied returns' variance is around 0.02495.

To calculate the variance, we need to follow these steps:

Step 1: Calculate the average return (mean) of the given returns.

Step 2: Calculate the squared differences between each return and the mean.

Step 3: Calculate the average of the squared differences, which gives us the variance.

Let's perform these calculations:

Step 1:

Average return (mean) = (16% + 6% - 25% - 3%) / 4 = -6%

Step 2:

Squared differences:

(16% - (-6%))² = (22%)² = 0.0484

(6% - (-6%))² = (12%)² = 0.0144

(-25% - (-6%))² = (-19%)² = 0.0361

(-3% - (-6%))² = (3%)² = 0.0009

Step 3:

Average of the squared differences:

(0.0484 + 0.0144 + 0.0361 + 0.0009) / 4 = 0.0998 / 4 = 0.02495

Therefore, the variance of the given returns is approximately 0.02495.

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The 100th digit to the right of the decimal point in the decimal representation of (1 .fi.)3000 is 0.

First, let's convert the number (1 .fi.)3000 into its decimal representation. This is done by dividing 3000 by 10 raised to the power of the number of digits following the decimal point, which in this case is 3. We get the answer 1000, or 1.000.
Now, we can look at the 100th digit to the right of the decimal point. This will be the 0th digit from the right of the decimal point, which is 0. Therefore, the 100th digit to the right of the decimal point in the decimal representation of (1 .fi.)3000 is 0.

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Answer:

So why are quadratic functions important? Quadratic functions hold a unique position in the school curriculum. They are functions whose values can be easily calculated from input values, so they are a slight advance on linear functions and provide a significant move away from attachment to straight lines.

Step-by-step explanation: