Factor the following polynomial completely.

5x ^3+ 2x^2 – 45x –18

Answer:

Step-by-step explanation:

The skier would have to go skiing 15  days im pretty sure.

hope im right :)

Answer:

-3(14+x)

Step-by-step explanation:

Answer:

x= 4

Step-by-step explanation:

Please see the attached pictures for the full solution.

Answer: "add by>" ; "65>" ; "go" im pretty sure

Step-by-step explanation:

my brain

a0 is the regression term that describes the constant or intercept in the linear regression equation.

In a simple linear regression model, the equation takes the form of y = a0 + a1x + e1, where y is the dependent variable (or response variable), x is the independent variable (or predictor variable), a0 is the intercept or constant term, a1 is the coefficient of the independent variable, and e1 is the error term.

The intercept term, a0, represents the value of the dependent variable when the independent variable is zero. For example, in a linear regression model that predicts salary based on years of experience, the intercept would represent the starting salary for someone with zero years of experience. The intercept is an important component of the regression equation because it allows us to make predictions for values of x that are outside the range of our observed data.

The coefficient, a1, represents the change in the dependent variable for each one-unit increase in the independent variable. In the salary example, the coefficient would represent the average increase in salary for each additional year of experience.

Both the intercept and coefficient are estimated from the data using methods such as least squares regression. Once these values are estimated, we can use them to make predictions for new values of x.

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This criterion can be defined based on the desired level of accuracy or when the change in the estimated parameters falls below a certain threshold.

When implementing a program for a nonlinear problem using the least square adjustment technique, it is essential to determine a termination condition. This condition dictates when the program should stop iterating and provide the final estimated parameters. A common approach is to set a convergence criterion, which measures the change in the estimated parameters between iterations.

One possible criterion is to check if the change in the estimated parameters falls below a predetermined threshold. This implies that the adjustment process has reached a point where further iterations yield minimal improvements. The threshold value can be defined based on the desired level of accuracy or the specific requirements of the problem at hand.

Alternatively, convergence can also be determined based on the objective function. If the objective function decreases below a certain tolerance or stabilizes within a defined range, it can indicate that the solution has converged.

Considering the chosen termination condition is crucial to ensure that the program terminates effectively and efficiently, providing reliable results for the nonlinear problem.

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Answer:rrrr 163

Step-by-step explanatidh    vvrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Answer: 3x - y= -11

Step-by-step explanation: just rewrite in youre standard form equation

the best approximation of the percent of scores that fell between 58.9 and 75.1 is 4.

The mathematical average of a group of two or more numbers is called the mean. There are two different sorts of means that can be calculated: the arithmetic mean and the geometric mean. The arithmetic mean is calculated by adding all of the numbers in a set and dividing by the total number of integers in the set.

Find the difference between these two figures and the mean, divide it by the standard deviation of 5.4, and you will know how many standard deviations 75.1 and 61.5 are above and below the mean:

(75.1−64.3)/5.4

=2sd

According to the empirical rule, 95% of data are within two standard deviations of the mean.

So, the answer is 4.

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Answer:

128 and 56

Step-by-step explanation:

to confirm this, you can add both numbers. 128+56 which equals to the answer, which is, 184!

Graph the solution of the inequality 4.5k>18 is equal to  k > 4 ( see image), by using the inequality equation.

Based on the given conditions,

4.5k>18

In mathematics, a relationship between two expressions or values that are not equal to each other is called 'inequality.

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.

a ≠ b says that a is not equal to b

a < b says that a is less than b

a > b says that a is greater than b

(those two are known as strict inequality)

a ≤ b means that a is less than or equal to b

a ≥ b means that a is greater than or equal to b.

To solve given graph,

We can write,

4.5k>18

4.5k - 18 > 0

4.5k > 18

k > 18/4.5

We can get the division,

k > 4   (We can see image)

Therefore,

4.5k>18 Graph the solution of the inequality is k > 4 ( see image ), by using inequality equation.

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Answer:

398.982267

Step-by-step explanation:

C=πd

 C=π×127

C=127π

C=398.982267

Answer:

398.78 meters

Step-by-step explanation:

Because the formula to find circumference is d*pi, we just plug in our number.

The circumference is 127pi

Then we plug in 3.14 for pi

That's 127 * 3.14

(You can ignore this next part, I just do it out so I can do it in my head) That's 381 + 12.7 + (1.27*4)

381 + 12.7 + (3.81 + 1.27)

381 + 12.7 + 5.08

398.78

Analysis means examining the whole in order to learn about the individual elements. Correct option is b).

Analysis involves breaking down a complex system or situation into smaller parts in order to understand how they work together. This process allows for a more detailed examination of the individual components, which can then be studied in isolation or in relation to one another.

Analysis is a critical part of problem-solving and decision-making, as it enables us to identify patterns and relationships that might not be immediately apparent. By analyzing a situation or system, we can gain a deeper understanding of its strengths, weaknesses, opportunities, and threats, which can inform our strategic planning and risk management efforts. Correct option is b).

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Answer:

I believe it would be B.

Step-by-step explanation:

Half a circle is 180 degrees, which is the location of option B. In other words you just rotate it halfway around and you'll find it at 180°.

Answer:

13.8 gallons per hour

Step-by-step explanation:

"Gallons per hour" means to divide gallons by hours.  Even the label can be a reminder of what to do:  \(\frac{\text{gal}}{\text{hr}}\) .

Now for the math...

\(4\frac{5}{16} \div 1.25 =4\frac{5}{16} \div 1\frac{1}{4}\)

Changing both numbers to mixed number form helps.  (You could also change both numbers to decimals--a calculator would help!)

Change mixed numbers to improper fractions, then divide.

\(\frac{69}{4} \div \frac{5}{4}=\\\\\frac{69}{4} \times \frac{4}{5}=\\\\\\\frac{69}{5}=13.8\)

integers are whole numbers, 1/1 equals 1, you can't simplify -9/19 so it isn't an integer but -58 is, it's just negative but still whole

Answer:

A

maybe

hopefully

yeah

I

think

Step-by-step explanation:

dgudgu

The solution is :

x squared over 8 minus y squared over 8 equals 1, is the equation of a hyperbola with directrices at x = ±2 and foci at (4, 0) and (−4, 0).

A hyperbola is an open curve with two branches, the intersection of a plane with both halves of a double cone. The plane does not have to be parallel to the axis of the cone; the hyperbola will be symmetrical in any case.

here, we have.

The general equation of hyperbola is given as;

(x²/a²) - (y²/b²) = 1

The coordinates of a foci are: (±c, 0) where;

c² = b² - a²

However, we know that equation of directrix is; x = ±a/e

Now, Directrix is given ±2

Thus, a/e = 2

a = 2e

We also know that c = ae from hyperbola foci coordinates.

Thus, ae = 4

since ae = 4, then (2e)e = 4

2e² = 4

e² = 4/2

e = √2

Thus;

a = 2 × √2

a = 2√2

Since c² = b² - a²;

4² = b² - 2√2²

16 = b² - 8

b² = 8

From (x²/a²) - (y²/b²) = 1, we can put our values to get;

x²/8 - y²/8 = 1

Hence, The solution is :

x squared over 8 minus y squared over 8 equals 1, is the equation of a hyperbola with directrices at x = ±2 and foci at (4, 0) and (−4, 0).

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The total cost of the aquarium that Arlington bought after markdown and including sales tax is $42.

What is meant by the markdown of the price?

The markdown is the price that separates an item's current, lowered price from its original, full price. Typically, a percentage is used to express it. Retailers can offer their products at a discount thanks to markdown.

Discounts are distinct from markdowns. Markdowns give everyone the chance to buy products for a lower price. However, some customers may only be eligible for discounts, such as students.

Markdown = (difference of prices / actual selling price) x 100

Given,

Original Cost of aquarium = $100

Marked down price = 100 - 0.60 * 100= 100 - 60 = $40

Sales tax = 5%

Sales tax is the percentage of the price at which the aquarium was bought i.e the markdown price.

Sales tax = 5% of $40 = 0.05 * 40 = $2

Total cost = marked down price + sales tax = $40 + $2 = $42

Therefore the total cost of the aquarium that Arlington bought after the markdown and including sales tax is $42.

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The two terms that describe the triangle are isosceles and right triangle. An isosceles triangle has two sides of equal length, and a right triangle has one 90-degree angle.

An isosceles triangle is a triangle with two sides of equal length and two angles of equal measure. The two equal sides are called the legs, and the third side is called the base. The two equal angles are called base angles and are located opposite the two legs. The point where the two legs meet is called the vertex. Isosceles triangles have many interesting properties, including the fact that they have two lines of symmetry and the angles opposite each leg are equal. The triangle is also isosceles if its base angles are equal.

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Rotating EF 90° clockwise would produce the same image as rotating CD

270° counterclockwise

There are different ways of transformations such as:

Rotation

Dilation

Translation

Reflection

Now, the coordinates are given as:

EF = E(4, -5) and F(3, -2)

Now, rotation by 90° clockwise would produce:

E'(-5, -4) and F(-2, -3)

This is a rotation rule of (x, y) → (y, -x)

Thus, if CD has the coordinates C(-4, 5) and D(-3, 2), then the rotation by 270° counterclockwise would produce:

C'(5, 4) and D(2, 3)

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use sin

sin(50) = x/6

sin(50) x 6 = x

x = ~4.5963

Answer:

d. option Is the correct

Answer:

i think you have to soleve that srry

The number of unicycles on a labeled set of vertices {1, 2, ..., n} can be found using the formula: (1/2)(n-1)![(n-2)! - (n-3)! + (n-4)! - ... + \((-1)^{(n-1)}*1\)!]

This formula is based on the fact that a unicycle can be formed by choosing any vertex as the starting point, and then arranging the remaining n-1 vertices in a cycle.

This can be done in (n-1)! ways. However, we must subtract the number of cases where there are disconnected components, which can occur when we exclude one or more edges from the cycle.

To do this, we can use the principle of inclusion-exclusion. The term (n-2)! represents the number of ways to arrange the remaining vertices in a cycle when one edge is excluded, and we subtract this from the total count.

However, we must add back the cases where two edges are excluded and there are two disconnected components. This is given by (n-3)!, and we continue this alternating pattern until we add back or subtract 1!, depending on whether n-1 is odd or even.

Thus, the final formula for the number of unicycles is given by the above expression.

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Answer:

90

Step-by-step explanation:

Answer:

x ≤ -3

Step-by-step explanation:

For solid lines you would do ≤ or ≥, then for shading on the right side you would need < or ≤

This graph shows the relationship between the quantity produced and the corresponding marginal cost. Based on the analysis, the firm can identify the optimal price and quantity levels that maximize profit or minimize costs.

In the marginal cost analysis graph, the quantity produced is plotted on the x-axis, and the marginal cost is plotted on the y-axis. The marginal cost represents the additional cost incurred for producing each additional unit of output. Initially, the marginal cost tends to decrease due to economies of scale, but at some point, it starts to increase due to diminishing returns or other factors.

To determine the price and quantity levels, the firm needs to consider the relationship between marginal cost and revenue. The firm should set the price and quantity levels where marginal cost equals marginal revenue or where marginal cost intersects the demand curve. This ensures that the firm maximizes profit or minimizes costs.

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