the area enclosed by Adam's square garden is 144cm square. what is the distance round the gardes​

The major axis lies along the z-axis, while the minor axis lies along the x-axis.

Given quadric surface is ( 3x)² − y + (2z)² = 0.

The equation of a quadric surface can be given by Ax² + By² + Cz² + Dxy + Exz + Fyz + Gx + Hy + Iz + J = 0, where A, B, C, D, E, F, G, H, I, J ∈ ℝ and (x, y, z) ∈ ℝ³.

(a) Type of quadric surface defined by the above equation is an elliptic paraboloid.

(b) The trace obtained by intersecting the surface with the xy-plane can be obtained by replacing z with 0. So, the equation is 9x² - y = 0, which can be written as y = 9x².

The trace is a parabola which opens upwards and intersects the y-axis at the origin.

(c) The trace obtained by intersecting the surface with the plane y = 1 can be obtained by replacing y with 1.

So, the equation is 9x² + 4z² = 1.The trace is an ellipse in the xz-plane, centered at the origin.

The major axis lies along the z-axis, while the minor axis lies along the x-axis.

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Both -5 and 1 are extraneous solution to the equation

A quadratic equation is a second-order polynomial equation in a single variable x ax2+bx+c=0. with a ≠ 0 . Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

c²+2c-4-1-2c = 0

c²+2c-2c -4-1 = 0

c²-5 = 0

Therefore both -5 and 1 are extraneous solution in the equation.

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Answer:

the product of 3, and a number increased by 2

Answer:

b.

Step-by-step explanation:

The correct function of the graph is,

⇒( f(x) = (x-a)²(x-b)⁴

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Now, Clearly from the graph of the function we could see that zero is not a root of the polynomial function

Hence, option (a) and (c) are discarded.

Now, we will check for option (b) and option (d)

As the graph touches the x-axis at two point i.e. a and b that means that both the roots of the polynomial equation are of even degree.

Hence, the correct option is:

⇒ f(x) = (x-a)²(x-b)⁴

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Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months.Month2345Sales92491942004There are different forecasting techniques used by companies like Bryant Industries to predict future sales.

One of the most widely used methods is the time-series method. This method is particularly useful when the demand for a product or service changes over time and when there are no external factors that affect the sales. In this case, we can use a time-series method called the moving average to estimate future sales. The moving average is a time-series method that uses the average of past sales data to estimate future sales. It is particularly useful when there are no external factors that affect the sales. In this case, we can use a 3-month moving average to estimate future sales. The 3-month moving average is calculated as follows: (924 + 919 + 420) / 3 = 754.33. This means that we can expect sales of around 754 units next month. The moving average method is easy to use and is a good way to get a quick estimate of future sales. However, it has some limitations. For example, it does not take into account external factors that may affect sales, such as changes in the economy or in consumer behavior.

In conclusion, Bryant Industries can use the moving average method to estimate future sales. However, they should also consider other factors that may affect sales, such as changes in the economy or in consumer behavior. By doing so, they can make more accurate forecasts and improve their overall performance.

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The function given is,

The graph of the function will be shown below

a) The zeros of a function, also referred to as roots or x-intercepts, occur at x-values where the value of the function is 0 (f(x) = 0).

Hence, from the graph above the zeros of the function is at

b) The function's domain is

c) The function's long-run behaviour is that:

Hence, the answer is

Answer:

i think its B............

The starting price of the toys was $7.50.

What is addition?

Addition is a basic arithmetic operation that combines two or more numbers to get a sum or a total. It is represented by the "+" symbol. When we add numbers, we are finding the total amount when we combine them.

Let's assume the starting price of the toys as "x".

After the first hour, the price of the toys will be "x - 0.25".

After the second hour, the price of the toys will be "x - 0.25 - 0.25 = x - 0.5".

Similarly, after the third hour, the price of the toys will be "x - 0.75".

We can see that the price of the toys decreases by $0.25 every hour. So, after the 8th hour, the price of the toys will be:

x - (0.25 + 0.25 + 0.25 + 0.25 + 0.25 + 0.25 + 0.25 + 0.25)

= x - (8 x 0.25)

= x - 2

We know that after the 8th hour, the price of the toys is $5.50. So we can write:

x - 2 = 5.50

Adding 2 to both sides:

x = 7.50

Therefore, the starting price of the toys was $7.50.

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The two expressions used to determine the sale price of the product is 0.35x and x - 0.35x.

If the original price of the product is x dollars.

Discount = 35%.

Discount = 35/100 x = 0.35x.

Then,

Sales price = original price - discount

Sales price = x - 0.35x.

Thus, the two expressions used to determine the sale price of the product is 0.35x and x - 0.35x.

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In order to cut the standard error of the mean in half (to 12.5), you must select a sample size of 612.

To find the new sample size required to cut the standard error of the mean in half, you can use the following formula:

New Standard Error = (Old Standard Error) / √(New Sample Size / Old Sample Size)

We know the old standard error (25) and want to find the new standard error (12.5). So, we can rewrite the formula as:

12.5 = 25 / √(New Sample Size / 153)

First, divide both sides of the equation by 25:

0.5 = 1 / √(New Sample Size / 153)

Next, square both sides of the equation:

0.25 = 1 / (New Sample Size / 153)

Now, take the reciprocal of both sides:

4 = New Sample Size / 153

Finally, multiply both sides by 153 to find the new sample size:

New Sample Size = 4 * 153

New Sample Size = 612
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Answer: 13.18

Step-by-step explanation:

Answer: 13.18

Step-by-step explanation: But if rounded to the nearest tenth its 13.2

hope that helped

During  from 1980 to 1990 ten-year period did the average age increase the most

Age is the duration of something's existence or being alive.

East Asian age calculation, a method of calculating age in Asia that begins at 1

Getting older, also referred to as aging,

Senescence, the age-related progressive decline in biological function

human advancement (biology)

Periodization, the division of history into clearly delineated chronological periods with names,

The stages of human existence on Earth as described by Greek mythology and its later Roman interpretation are known as the "Ages of Man."

Age before time

the given name age

Aage is the pen name of Italian screenwriter Agenore Incrocci.

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Answer:

(-4, -5)

Step-by-step explanation:

-4x + 2y = 6

-4x + 2(x - 1) = 6

-4x + 2x - 2 = 6

-2x - 2 = 6

-2x - 2 + 2 = 6 + 2

-2x = 8

-2x/-2 = 8/-2

x = -4

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

y = x - 1

y = -4 - 1

y = -5

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

-4(-4) + 2(-5) = 6

16 + -10 = 6

6 = 6

The sorted order of the impairs [3 7], [4 6], [3 4] using impair. compare to would be:
[C] [3 2], [4 6], [3 7]

When comparing in pairs using impair. compare to, the first element taking priority over the second element. So, in the list [3 7], [4 6], [3 4], the impair [3 2] would come first because 3 is smaller than both 4 and 3, and the second element (2) is also smaller than the second element of the other in pairs. Then, the impair [4 6] would come next as it has the second smallest first element, and finally, the impair [3 7] would come last as it has the largest first element. Therefore, the sorted order is [3 2], [4 6], [3 7], denoted as option C.

To sort the given list of in pairs ([3 7], [4 6], [3 4]) using impair. compared, follow these steps:

1. Compare the first elements of the in pairs (3, 4, and 3). If there is a tie, move to step 2.
2. Compare the second elements in pairs with the same first elements (7 and 4).
3. Arrange the impairs in ascending order based on the comparison results.

The sorted order is [3 4], [3 7], [4 6]. However, this order is not present in the given options. Please check the question for any discrepancies or provide the correct in pairs to sort.

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The sorted order of the impairs [3 7], [4 6], [3 4] using impair. compare to would be:

[C] [3 2], [4 6], [3 7]

When comparing in pairs using impair. compare to, the first element taking priority over the second element. So, in the list [3 7], [4 6], [3 4], the impair [3 2] would come first because 3 is smaller than both 4 and 3, and the second element (2) is also smaller than the second element of the other in pairs. Then, the impair [4 6] would come next as it has the second smallest first element, and finally, the impair [3 7] would come last as it has the largest first element. Therefore, the sorted order is [3 2], [4 6], [3 7], denoted as option C.

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Answer:

It's the 3rd one

Step-by-step explanation:

2x7=14 7x4=28 7x6=42

Answer:

The third table, since x/y = 7.

The derivative dy/dx is equal to (9t - 1)e^(-t), and the second derivative d^2y/dx^2 is equal to (1 - 18t + 9t^2)e^(-t).

To find the derivative dy/dx, we can use the chain rule. Since x = e^(-t), we can rewrite y = te^(9t) as y = tx^9. Taking the derivative of y with respect to x, we have:

dy/dx = d/dx(tx^9)

      = t * d/dx(x^9)

      = t * 9x^8 * dx/dt

      = 9tx^8 * (-e^(-t))     [since dx/dt = d(e^(-t))/dt = -e^(-t)]

      = (9t - 1)e^(-t)

To find the second derivative d^2y/dx^2, we differentiate dy/dx with respect to x:

d^2y/dx^2 = d/dx((9t - 1)e^(-t))

          = d/dx(9t - 1) * e^(-t) + (9t - 1) * d/dx(e^(-t))

          = 9 * dx/dt * e^(-t) + (9t - 1) * (-e^(-t))     [since d/dx(9t - 1) = 0 and d/dx(e^(-t)) = dx/dt * d/dx(e^(-t)) = -e^(-t)]

          = 9 * (-e^(-t)) + (9t - 1) * (-e^(-t))

          = (1 - 9 + 9t - 1) * e^(-t)

          = (1 - 18t + 9t^2) * e^(-t)

Therefore, the second derivative d^2y/dx^2 is equal to (1 - 18t + 9t^2)e^(-t).

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Answer and Step-by-step explanation:

We want to prove that 0.5555... = 5/9.

First, let's set 0.555... equal to x:

x = 0.555...

Now multiply this by 10:

10x = 5.555...

Now subtract the original from this new one:

   10x = 5.555...

-       x = 0.555...

______________

     9x = 5

Note that we could cancel all the recurring terms because they were the same for both 5.555... and 0.555... since the 5's go up to infinity.

We now have 9x = 5, so divide both sides by 9:

x = 5/9, as desired

The equation -9 = 3|-r - 8| - 9 has two solutions.To determine the number of solutions, we need to examine the absolute value expression. The absolute value of any real number is always non-negative, so |-r - 8| will be greater than or equal to zero. The equation can be rewritten as -9 = 3|-r - 8| - 9.

Since the right-hand side of the equation is non-negative, it will always be greater than or equal to zero. The left-hand side, -9, is a constant negative value.

When the right-hand side is greater than zero, there is no solution because the negative constant cannot be equal to a positive value. However, when the right-hand side is equal to zero, there is one solution because -9 can be equal to -9. Therefore, the equation -9 = 3|-r - 8| - 9 has two solutions: no solution when the right-hand side is greater than zero, and one solution when the right-hand side is equal to zero.

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Answer:

905.45

Step-by-step explanation:

el treinta y cinco por ciento 35% de 2587 es: 905.45

Answer:

1.335

Step-by-step explanation:

you have to do this equation .445 x 3 =1.335

Answer: 60.96

Step-by-step explanation: 1 foot is equal to 12 inches so 2 feet is 24 so if you do 24 times 2.54 you will get the correct answer

Answer:

The radius of the track is 32 meters

Step-by-step explanation:

Circumference

The circumference of a circle can be defined as the distance around the circle or the length of a circuit along the circle.

Given a circle of radius r, the circumference of the circle can be calculated as follows:

\(L=2\pi r\)

If we already know the length of the circle, we can solve the above expression for r:

\(\displaystyle r=\frac{L}{2\pi}\)

The distance given around a circular running track is L=200 m, thus:

\(\displaystyle r=\frac{200}{2\pi}=31.830989\ m\)

Rounding to the nearest meter:

r= 32 meters

The radius of the track is 32 meters

a) x-component = -5.2 m * cos(145 degrees) b) y-component = -5.2 m * sin(145 degrees) c) the magnitude of the vector is 5.198

(a) To find the x-component of the vector -5.2 m, we can use trigonometry. The x-component can be calculated as the product of the magnitude (-5.2 m) and the cosine of the angle (145 degrees).

x-component = -5.2 m * cos(145 degrees)

(b) To find the y-component of the vector -5.2 m, we use the same trigonometric approach. The y-component is calculated as the product of the magnitude (-5.2 m) and the sine of the angle (145 degrees).

y-component = -5.2 m * sin(145 degrees)

(c) The magnitude of a vector can be determined using the Pythagorean theorem. The magnitude is the square root of the sum of the squares of its components.

magnitude = \(\sqrt{(x-component)^2 + (y-component)^2)}\) = \(\sqrt{27.028} = 5.198\)

By substituting the values of the x and y components obtained in parts (a) and (b) into the formula, we can calculate the magnitude of the vector -5.2 m.

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Answer:

9, -19

Step-by-step explanation:

Given that the distance between point J and point K on a number line is 14, and the coordinate of J is -5, there are two possible coordinates that could represent the location of K.

K can either be located to the right of J, or to the left of J. Either ways, distance between J and K will still equal 14.

To the right we would have K located at: -5 + 14 = 9

To the left we can also have K located at: -5 - 14 = -19

K can be located at either 9 or -19

9514 1404 393

Answer:

  54

Step-by-step explanation:

Let d represent the number of donuts. The cost is proportional to the number, so we have ...

  d/33.00 = 9/5.50

  d = 33.00(9/5.5) = 9·6 = 54

You can buy 54 donuts for $33.00.

Considering the right triangles

5. x = 8 and y = 6.9

6. x = 8.5 and y = 14.7

Applying the similar triangle, altitude rule

5.

y / 4 = 12 / y

y = √(4 * 12) = 6.93

Using Pythagoras theorem

x = √(6.93^2 + 4^2) = 8

6.

x / 6 = 12 / x

x = √(6 * 12) = 8.49

Using Pythagoras theorem

y = √(8.49^2 + 12^2) = 14.7

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Answer:

60 calories per serving

Step-by-step explanation:

Divide to find the unit rate of calories per serving.

120 / 2 = 60

360 / 60 = 60

Best of Luck!

Answer:

g = \(\frac{p^2-V^2}{2h}\)

Step-by-step explanation:

assuming I have your statement correctly interpreted.

V = \(\sqrt{p^2-2gh}\) ( square both sides to clear the radical )

V² = p² - 2gh ( subtract p² from both sides )

V² - p² = - 2gh ( isolate g by dividing both sides by - 2h )

\(\frac{V^2-p^2}{-2h}\) = g

multiply numerator/ denominator of left side by - 1

g = \(\frac{p^2-V^2}{2h}\)

100 teeth / 20 teeth = 5

5 x 10 rpm = 50 rpm

answer: 50 rpm

Two similar figures have a ratio of areas 72:32. The ratio of similarity between the two figures is 3:2.

The ratio of areas of two similar figures is equal to the square of the ratio of their corresponding side lengths. Let's assume the ratio of side lengths is a:b.

Given: Ratio of areas = 72:32

The ratio of areas is the square of the ratio of side lengths. So, we have:

(a/b)^2 = 72/32

Simplifying the equation:

(a/b)^2 = 9/4

Taking the square root of both sides:

a/b = √(9/4)

a/b = 3/2

Hence, the ratio of side lengths of the two similar figures is 3:2.

Since similarity is based on corresponding side lengths, the ratio of similarity is the same as the ratio of side lengths. Therefore, the ratio of similarity between the two figures is 3:2.

This means that for every unit increase in the length of the corresponding side in the smaller figure, the corresponding side in the larger figure increases by 1.5 units.

In summary, the ratio of similarity between the two figures is 3:2, indicating that they are scaled versions of each other with the smaller figure being 3/2 times smaller in each dimension compared to the larger figure.

Hence, the ratio of similarity is 3:2.

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