if f(x) varies directly with x2, and f(x) = 96 when x = 4, find the value of f(6).

Answer: Walking distance is [tex]7\frac{2}{10}\ miles[/tex]

Step-by-step explanation:

Since we have given that

Walking distance from the Empire State Building in New York City to Times Square = [tex]\frac{9}{10}\ mile[/tex]

According to question, the walking distance from the Empire State Building into Sues Hotel is 8 times as far.

So, Walking distance from the Empire State Building into Sues Hotel is given by

[tex]8\times \frac{9}{10}\\\\=\frac{72}{10}\\\\=7\frac{2}{10}\ miles[/tex]

Hence, Walking distance is [tex]7\frac{2}{10}\ miles[/tex]

The error in the given solution to the quadratic equation y²-y=6 is identified and corrected step by step.

In the given quadratic equation y²-y=6, the mistake in the solution provided is the incorrect manipulation of the equation. To find the correct solution, follow these steps:

Re-write the equation as y² - y - 6 = 0.

Factor the quadratic equation as (y - 3)(y + 2) = 0.

Solve for y by setting each factor to zero: y = 3 or y = -2.

Number of square feet of tile will be needed to cover the kitchen floor is 238 square feet.

Given that, a rectangular kitchen floor measures 18 feet by 15 feet.

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

Area of a rectangular kitchen floor

= 18×15

= 270 square feet

Area covered by a stove

= 3×4

= 12 square feet

Area covered by a refrigerator

= 4×5

= 20 square feet

Area covered by tiles

= 270-(12+20)

= 270-32

= 238 square feet

Therefore, number of square feet of tile will be needed to cover the kitchen floor is 238 square feet.

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Answer:

A IS YOUR ANSWER DONT EVEN BOTHER TO DOUBLE CHECK ON EGDE

Step-by-step explanation:

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The standard deviation of the returns is 21.5 percent.

To calculate the standard deviation of the returns, we need to follow these steps:

Let's perform these steps:

Therefore, the standard deviation of the returns is 21.5 percent.

A contour at height c have [tex]\mathbf{f(x, y) = c}[/tex] as its equation

The equation of the contour is [tex]\mathbf{2x^2y + 7x + 15 = 0}[/tex]

The given parameters are:

[tex]\mathbf{f(x,y) = 2x^2y + 7x + 20}[/tex]

[tex]\mathbf{(x,y) = (3,-2)}[/tex]

Recall that:

[tex]\mathbf{f(x, y) = c}[/tex]

Substitute [tex]\mathbf{(x,y) = (3,-2)}[/tex] in f(x,y)

[tex]\mathbf{f(x,y) = 2x^2y + 7x + 20}[/tex]

[tex]\mathbf{f(3,-2) = 2 \times 3^2 \times -2 + 7 \times 3 + 20}[/tex]

Evaluate exponents

[tex]\mathbf{f(3,-2) = 2 \times 9 \times -2 + 7 \times 3 + 20}[/tex]

Evaluate the products

[tex]\mathbf{f(3,-2) = -36 + 21 + 20}[/tex]

[tex]\mathbf{f(3,-2) = 5}[/tex]

Replace 3 and -2, with x and y

[tex]\mathbf{f(x,y) = 5}[/tex]

Substitute 5 for f(x,y) in [tex]\mathbf{f(x,y) = 2x^2y + 7x + 20}[/tex]

[tex]\mathbf{2x^2y + 7x + 20 = 5}[/tex]

Collect like terms

[tex]\mathbf{2x^2y + 7x + 20 - 5 = 0}[/tex]

[tex]\mathbf{2x^2y + 7x + 15 = 0}[/tex]

Hence, the equation of contour is [tex]\mathbf{2x^2y + 7x + 15 = 0}[/tex]

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Solution:

we are given that

6 students share 4 bagels equally.

we have been asked to find that

How many pieces does each person get?

Here we will have to use the concept of division. Because we are dividing bagels among the students.

So To get the number of pieces each will get divide 6 by 4.

Number of Pieces for each boys [tex] =\frac{6}{4}=\frac{3}{2}=1\frac{1}{2} \\ [/tex]

Answer: y=3x+6

Step-by-step explanation: use y=mx+c

Answer: I'm pretty sure it is PQ = sqrt [(-3-2)^2 + (1-2)^2] = sqrt 26 = 5.1

Step-by-step explanation:

The query is about applying properties of determinants to find a determinant without evaluating it. This involves using properties such as linearity, the effect of elemental operations, and the determinant of a product. The instructions also involve using simplified subscripts and omitting them if they are one.

Properties of determinants are often used to simplify the process of determinant calculation without actually evaluating the determinant. In this particular scenario, to find a given determinant using the appropriate property, one must consider the properties such as linearity with regards to rows or columns, the determinant of a product, and the effect of elemental operations such as switching or scaling rows or columns. Remember, if you apply a transformation that changes the determinant's value, you need to account for that change. For instance, if you multiply a row by a scalar, the determinant is also multiplied by that scalar. If you switch two rows, the sign of the determinant is flipped.

When simplifying subscripts in the final formula, you should follow the instructions explicitly: use the simplified subscript and omit the subscript if it is one, as these rules can affect the determinants in certain cases involving submatrices or cofactors. Keep these guidelines in mind when you are working with determinants, although it appears that this particular question might be incomplete and does not specify the determinant to be simplified.

The rate at which the distance between the two ships is changing is approximately 18.86 knots at 4pm.

To find the rate at which the distance between the two ships is changing, we can use the concept of relative velocity. Let's consider ship A as the reference point. The velocity of ship A relative to the Earth is given as 23 knots due west, and the velocity of ship B relative to the Earth is given as 17 knots due north. The velocity of ship B relative to ship A can be found by subtracting the velocities.

Using the Pythagorean theorem, we can find the magnitude of the velocity of ship B relative to ship A. This magnitude represents the rate at which the distance between the ships is changing. Therefore, at 4 pm, the distance between the ships is changing at a rate of approximately 18.86 knots.

Answer:

120 Acres

Step-by-step explanation:

We want to find the total amount of acres that a farmer has given that we know how many acres are in a percentage of his farm.

The farmer has 120 acres in total.

We know that the 60% of the farmer crops is equivalent to 72 acres.

Now we want to find the 100%.

Then we write two equations:

100% = X

60% = 72 acres

Now we want to solve this for X.

To do it, we first take the quotient between the two equations:

100%/60% = X/(72 acres)

Now we solve this for X:

(100%/60%)*(72 acres) = X = 120 acres.

The farmer has 120 acres in total.

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1. First, you must apply the formula for calculate the sum of the interior angles of a regular polygon, which is shown below:

 (n-2) × 180°

 "n" is the number of sides of the polygon (n=5).

 2. Then, the sum of the interior angles of the pentagon, is:

 (5-2)x180°=540°

 3. The problem says that the measure of each of the other interior angles is equal to the sum of the measures of the two acute angles and now you know that the sum of all the angles is 540°, then, you have:

 α+α+2α+2α+2α=540°

 8α=540°

 α=540°/8

 α=67.5°

 4. Finally, the larger angle is:

 2α=2(67.5°)=135°

 5. Therefore, the answer is: 135°

If x is the measure in degrees of each of the acute angles, then each of the larger angles measures 2x degrees. Since the number of degrees in the sum of the interior angles of an n-gon is 180(n-2), we have

x+x+2x+2x+2x=540 ⇒ 8x = 540 ⇒ x=135/2.

The large angles each measure 2x=135 degrees.