find the open intervals on which the function f(x)=−9x2 8x 10 is increasing or decreasing.

Step-by-step explanation:

f(x) = (x + 3)^(1/3)

We notice that f(x) is a strictly increasing function.

Hence,

Minimum value of f(x) is when x = -11,

f(x) = (-11 + 3)^(1/3) = -2.

Maximum value of f(x) is when x = 5,

f(x) = (5 + 3)^(1/3) = 2.

P.S. You can differentiate f(x) to show that it is an increasing function.

the number of people who do not watch any of the channels was 80 people.

Given the sets A = {c, a, r, e, t} and B = {a, e, i, o, u}, represent the union set (A U B). To find the union set, just join the elements of the two given sets. We have to be careful to include elements that are repeated in both sets only once.

Knowing that:

To calculate the total number of people who watch at least one of the channels:

\(Total = G + R - (G R)\\Total = 300 + 270 - 150\\Total = 420\)

The total number of people is 500, so:

\(Number of people who do not watch any channel = 500 - 420\\Number of people who do not watch any channel = 80\)

Therefore, there are 80 people who do not watch any of the channels.

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Answer:

The answer is option B: a < -21 1/3

Step-by-step explanation:

You can use a calculator to divide -16 by 3/4. Since it is an inequality, multiplication or division causes you to flip the sign.

The rate of change of the area of the rectangle is 80 mm²/s when the width is 8 mm and the length is increasing at a rate of 10 mm/s.

Let's first recall the formula for the area of a rectangle:

A = l × w

where A is the area, l is the length, and w is the width.

We are given that the length of the rectangle is increasing at a rate of 10 mm per second, and the width is constant at 8 mm. To find the rate of change of the area, we can use the chain rule of differentiation:

dA/dt = (dA/dl) × (dl/dt)

Since the width is constant, we can treat it as a constant and differentiate only the length with respect to time:

dA/dt = w × (dl/dt)

Substituting the given values, we have:

dA/dt = 8 × 10 = 80 mm²/s

Therefore, the rate of change of the area of the rectangle is 80 mm²/s when the width is 8 mm and the length is increasing at a rate of 10 mm/s.

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The value of z is determined by capital-to-labor ratio and it is greater than 1.

The value of z is determined by the capital-to-labor ratio of each firm, specifically the ratio between the capital used (K) and the labor employed (L). To find the value of z, we need to compare the capital-to-labor ratios of Tom's firm (Kt/Lt) and Dana's firm (Kd/Ld).

Comparing the production functions, we can see that Tom's firm has a capital exponent of 0.7, while Dana's firm has a capital exponent of 0.3. Similarly, Tom's firm has a labor exponent of 0.3, while Dana's firm has a labor exponent of 0.8.

Since the capital exponent in Tom's firm (0.7) is greater than the capital exponent in Dana's firm (0.3), Tom's firm has a larger capital-to-labor ratio. This implies that Tom's firm uses relatively more capital compared to labor in the production process.

Therefore, z, which represents the ratio of Dana's firm's capital-to-labor ratio to Tom's firm's capital-to-labor ratio, will be less than 1. This means that Dana's firm uses relatively less capital compared to labor.

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Answer:

To solve this problem, we will use the following steps:

Step 1: Convert the minutes to hours by dividing the minutes by 60: 45 minutes / 60 = 0.75 hours

Step 2: Add the hours and minutes together to find the total time: 3 hours + 0.75 hours = 3.75 hours

Step 3: Multiply the total time by the average speed to find the distance: 3.75 hours * 80 km/hour = 300 km

Final Answer: Tim drives 300 km.

Answer:

\(\sqrt{26}\)

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (- 3, 3) and (x₂, y₂ ) = (2, 2)

d = \(\sqrt{(2+3)^2+(2-3)^2}\)

   = \(\sqrt{5^2+(-1)^2}\)

   = \(\sqrt{25+1}\)

    = \(\sqrt{26}\)

Answer:

(-7/2,0) is the x intercept

Step-by-step explanation:

1. y+3 = -6/7x

2.  -3              -3 ....subtract 3 from both sides to isolate the variable y

y= =-6/7x -3 ....is your new equation

You graph it by putting your point on negative three and then counting 6 units down and 7 units right.

For the x intercept you set y to 0 and solve for x

0= -6/7x -3

+3               +3 ...to both sides

3= -6/7x .....divide both sides by -6/7

-7/2=x

put it in as a coordinate

The mass of the metal cube can be find by using the formula, Mass = Density × Volume

Here we have to find the mass of the metal cube

We know that, Density = Mass / Volume

The density is defined as the substance's mass per unit volume

The mass is defined as the quantity of matter in the physical body

The volume is the quantity of space occupied by the three dimensional shape.

The volume of the metal cube = \(a^3\)

Where a is the side of the cube

Then the Mass of the metal cube = Density × Volume

Hence, The mass of the metal cube can be find by using the formula Mass = Density × Volume

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Answer:

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

40% of the total number is 6.

Find the total number x:

Answer:

4

Step-by-step explanation:

Answer:

option b the median would decrease

Answer:

what's the question

Step-by-step explanation:

5+b or b+5. It can be written either way. Some teachers are strict about how you write it but who cares?

hope it helps!

Answer:

x = -27

Step-by-step explanation:

x / 9 =3

multiply both sides by -9

x = -27

Hope this helps!!

Happy Holidays!!

Final Answer: \(x = -27\)

Steps/Equations:

Question: \(\frac{x}{-9} = 3\)

Step 1: Move the negative sign to the left side.

\(-\frac{x}{9} = 3\)

Step 2: Multiply both sides by \(3\).

\(-x = 3 * 9\)

Step 3: Simplify \(3 * 9\) to \(27\).

\(-x = 27\)

Step 4: Multiply both sides by \(-1\).

\(x = -27\)

~I hope I helped :)~

7(1, -3) = (7, -21). To find T(7, 1) and 7(1, -3) using the given linear transformation T, we can use the properties of linearity.

We know that T is a linear transformation from R^2 to R^2, so it can be represented by a 2x2 matrix. Let's denote this matrix as A.

To determine the matrix A, we can use the values of T(1, 0) and T(0, 1) given in the problem.

T(1, 0) = (1, 1)

T(0, 1) = (-1, 1)

These equations can be written in matrix form:

| 1  0 |   | a b |   | 1  1 |

|       | x |     | = |       |

| 0  1 |   | c d |   |-1  1 |

By equating the corresponding elements on both sides, we get the following system of equations:

a = 1

b = 1

c = -1

d = 1

Therefore, the matrix A representing the linear transformation T is:

A = | 1  1 |

     | -1  1 |

Now, we can find T(7, 1) by multiplying the matrix A by the column vector (7, 1):

| 1  1 |   | 7 |

|       | x |   |

| -1  1 |   | 1 |

Multiplying these matrices gives:

| 1*7 + 1*1 |

|              | = | 7 + 1 |

| -1*7 + 1*1 |

| 8 |

|      |

| -6 |

Therefore, T(7, 1) = (8, -6).

Next, to find 7(1, -3), we simply multiply each component of (1, -3) by 7:

7(1, -3) = (7*1, 7*(-3)) = (7, -21).

Therefore, 7(1, -3) = (7, -21).

In summary:

T(7, 1) = (8, -6)

7(1, -3) = (7, -21)

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Answer:

Mutual funds, collections of stocks, bonds, and other securities, have less risk than investing in stocks alone because of the risk associated with the ever-changing market.

Step-by-step explanation:

got 100% on edge

Answer:

$72

Step-by-step explanation:

100 - 10% = 90

90 - 20% = 72

The correct answer is b.

The child's height is 1.5 standard deviations below the mean height for children his age.

A z-score is a measure of how many standard deviations an observation is away from the mean of the distribution. A z-score of -1.5 means that the child's height is 1.5 standard deviations below the mean height for children his age. This indicates that the child's height is lower than the average height of his peers.

Option a is incorrect because the z-score does not measure what the model predicted for the child's height, but rather how far the child's height deviates from the mean height of his peers.

Option c is incorrect because the z-score does not measure how low or high the child's height is in absolute terms, but rather how far it deviates from the mean.

Option d is partially correct but not specific enough, as the z-score tells us how much lower the child's height is compared to the mean, but not whether it is unusually low or not.

Option e is incorrect because the z-score is a measure of standard deviations, not inches.

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If a child's height has a z-score of -1.5, it means that the child's height is 1.5 standard deviations below the mean height for children his age. So the correct option is C.

The z-score measures the number of standard deviations a particular data point is from the mean of the distribution. A z-score of -1.5 indicates that the child's height is 1.5 standard deviations below the mean height for children his age. Since the z-score is negative, it means that the child's height is below the mean height for his age group. In other words, the child is shorter than what the model predicted for his height.

The mean height for children his age represents the average height of all children in that age group. Standard deviation measures the amount of variability in the height measurements of the children in that age group. A z-score of -1.5 indicates that the child's height is 1.5 standard deviations below the mean height for his age group. This means that the child's height is significantly lower than that of his peers.

Therefore, if a child's height has a z-score of -1.5, it means that the child's height is significantly lower than the mean height for children his age, and he is shorter than what the model predicted for his height.

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Answer:

1004 is the smallest four-digit palindrome that is divisible by 4.

Classroom objects can be categorized as vertical or horizontal. Examples of vertical objects include doors, bookshelves, and clocks, while horizontal objects include desks, tables, and chairs.

In a classroom, there are many objects that are vertical and horizontal. Here are ten examples of each:

Vertical objects in a classroom:

1. Door                     6. Clock

2. Cabinet               7. Electrical outlets

3. Bookshelf            8. Light switches

4. Whiteboard         9. Window blinds

5. Flagpole             10. Bulletin board

Horizontal objects in a classroom:

1. Desks                  6. Keyboard trays

2. Chairs                 7. Carpet tiles

3. Tables                 8. Ceiling tiles

4. Countertops       9. Whiteboard markers

5. Shelves              10. Paper trays

These are just a few examples of vertical and horizontal objects that can be found in a classroom.

It is important to recognize the different shapes and orientations of objects in our environment, as they can affect the way we perceive and interact with them.

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Answer:

It is not a function

Step-by-step explanation:

The points arent forming any kind of line

The answer is 4230. I used mathmay to answer this question if you have anymore question like this I would suggest you go there it is a really good math answering site. Hope this helps!!    

Answer:

Option 3

Step-by-step explanation:\(\frac{x+2}{x^{2+2} }\)

Answer:

Step-by-step explanation:

these are vertical opposing angles

x=20+25=45 degrees

The value of the given triple integral is (3π)/8.

To evaluate the given triple integral using cylindrical coordinates, we first need to express the integrand in terms of cylindrical coordinates. The cylindrical coordinates are given by (ρ, θ, z), where ρ is the distance from the z-axis, θ is the angle made with the x-axis (0 ≤ θ ≤ 2π), and z is the height.

Converting the Cartesian coordinates to cylindrical coordinates, we have:

We also have the limits of integration:

Substituting the cylindrical coordinates and limits of integration, we have:

∫∫∫3sin(x² y)d²xdydz = ∫₀²π ∫₀¹ ∫₀¹ 3sin(ρ² cos²θ sin²θ) ρ dz dρ dθ

Evaluating the z-integral, we get:

∫₀²π ∫₀¹ 3/ρ sin(ρ² cos²θ sin²θ) dρ dθ

Simplifying the integrand, we get:

∫₀²π ∫₀¹ 3/ρ sin(ρ²(1-ρ² sin²θ)) dρ dθ

Let u = ρ²(1-ρ² sin²θ). Then, du/dρ = 2ρ(1-3ρ² sin²θ). Solving for ρ in terms of u, we have:

ρ² = u/(1+u sin²θ)

Substituting for ρ² and du/dρ, we get:

∫₀²π ∫₀¹ 3/2 ∫₀¹ sin(u)/(1+u sin²θ) du dθ

Evaluating the u-integral using u-substitution, we get:

∫₀²π ∫₀¹ 3/2 ∫₀¹ sin(u)/(1+u sin²θ) du dθ = ∫₀²π ∫₀¹ 3/2 (1/2) ln(1+u sin²θ)∣₀¹ dθ

= ∫₀²π ∫₀¹ 3/4 ln(1+sin²θ) dθ

Solving the inner integral, we get:

∫₀¹ ln(1+sin²θ) dθ = θ - tan⁻¹(sinθ)∣₀¹ = π/2

Substituting back into the original integral, we get:

∫₀²π ∫₀¹ 3/4 ln(1+sin²θ) dθ = (3/4) π/2 = (3π)/8

Therefore, the value of the given triple integral is (3π)/8.

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Example 6.22 part b using the first 5 terms of the Maclaurin series. Please note that I do not have the specific problem you are referring to, but I can show you how to find the sum of the first 5 terms of a Maclaurin series for a given function.

What is Maclaurin series: The Maclaurin Series refers to a form of series expansion in which all the terms are positive and nonnegative integers powers of the variable.It can also be defined as the Taylor Series that is expanded proximal to the reference point zero. The function is given as: f (x) = f (0) + (f'(0)x)/1! + (f''(0)x²)/2! + ... + (fⁿ(0)xⁿ)/n!. Given a function f(x), the Maclaurin series is the Taylor series centered at x=0. The general formula for the Maclaurin series is:
f(x) ≈ f(0) + f'(0)x + f''(0)(x^2)/2! + f'''(0)(x^3)/3! + .... To find the sum of the first 5 terms of the Maclaurin series, we can start by using a known Maclaurin series and modify it according to our function, we need to find the first 5 derivatives of the function at x=0 and plug them into the formula: Sum ≈ f(0) + f'(0)x + f''(0)(x^2)/2! + f'''(0)(x^3)/3! + f''''(0)(x^4)/4! To find the sum, you would need to plug in the appropriate function and its derivatives, along with the x-value you are trying to approximate. Once you have calculated the sum, round your answer to 4 decimal places as requested.

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Answer:

x = 2/3

Step-by-step explanation:

Answer:

X=2/3 answer this is of your question

Answer:

that- y= 12/22x + 14, I think-

Step-by-step explanation:

sorry if its wrong- cuz it prolly iz but I tried-

Answer:

y = 1/2x - 1

Step-by-step explanation:

Alright

Let's find the slope first:

-12+14/-18+22

2/4 = 1/2

So this is what it's increasing by each time. Now we find the y-intercept.

I used Desmos to find it, because graphing for visualization is great for these kinds of things.

The y-intercept I got was -1.

So the full equation would be: y= 1/2x -1

Answer:

-3

Step-by-step explanation:

Let the first term be a-d, second term be a and third term be a+d

d is the common difference

If each term, starting with the 3rd term, is found by multiplying the previous two terms then:

a(a-d) = a+d

a²+ad-a-d = 0

a(a+d)-1(a+d) = 0

(a+d)(a-1) = 0

a-1 = 0

a= 1

a+d = 0

1+d = 0

d = 0-1

d = -1

Get the sixth term

nth term of a sequence is expressed as

Tn = a+(n-1)d

T6 = 1+(6-1)(-1)

T6 = 1+5(-1)

T6 = 1-5

T6 = -4

Get the third term T3

T3 = a+2d

T3 = 1+2(-1)

T3 = 1-2

T3 = -1

difference between the 6th and 3rd terms in the sequence is expressed as;

Difference = T6-T3

Difference = -4-(-1)

Difference = -4+1

Difference = -3