Find the average rate of change for f(x) = x^2 − 3x − 10 from x = −5 to x = 10.
A) -1
B) -2
C) 1
D) 2

Answer:

you have given no information.

Step-by-step explanation:

You just say one large pizza and some soft drinks..

a) The probability that A happens but B and C do not is 0.0512.

b) The probability that at least one of A, B, or C happens is 0.648.

Explanation for a: Since A, B, and C are independent events, the probability of A happening but B and C not happening is simply the product of the probabilities of each event happening or not happening:

Explanation for b: The probability that none of the events A, B, or C happens is the complement of the probability that at least one of them happens. Since the events are independent, we can calculate this complement as the product of the probabilities that each event does not happen:

Therefore, the probability that at least one of A, B, or C happens is 1 - P(not A and not B and not C) = 1 - 0.31104 = 0.648.

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Answer:

-2x -1 if f(x) is reflected along the x axis and translated 1 unit downward

Step-by-step explanation:

A function can either be reflected along the x axis or along the y axis. If a function is reflected along the x axis, the new reflected equation g(x) is given by:

g(x) = -f(x) = -2x

g(x) = -2x

If a function is reflected along the y axis, the new reflected equation g(x) is given by:

g(x) = f(-x) = 2(-x)

g(x) = -2x

Translation means the shifting of the curve either up or down in a graph. If the reflected function is shifted 1 unit upward, the function becomes:

g(x) + 1 = -2x + 1

If the reflected function is shifted 1 unit downward, the function becomes:

g(x) - 1 = -2x - 1

Answer:

The answer is C.

Step-by-step explanation:

did the test

Answer:

m = 5

Step-by-step explanation:

Since the points are collinear, they all lie on the same line and have the same slope between them.

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (3, 6)

m = \(\frac{6-3}{3-2}\) = \(\frac{3}{1}\) = 3

Now calculate the slope using 2 other points and equate to 3

(x₁, y₁ ) = (3,  6) and (x₂, y₂ ) = (m, 12)

m = \(\frac{12-6}{m-3}\) = \(\frac{6}{m-3}\) = 3 ( multiply both sides by m - 3 )

6 = 3(m - 3) ← divide both sides by 3

2 = m - 3 ( add 3 to both sides )

5 = m

Answer:

m =  5

Step-by-step explanation:

P(2, 3)  ; Q(3 ,6)  ; R(m , 12)

Slope of QR = slope of PQ

Slope of PQ:

\(slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

        \(= \frac{6-3}{3-2}\\\\=\frac{3}{1}\\\\=3\)

Slope of QR:

Slope = \(\frac{12-6}{m-3}\\\)

          \(=\frac{6}{m-3}\)

Slope of PQ = slope of QR

\(3=\frac{6}{m-3}\\\\3*(m-3)=6\\\\3m - 9 = 6\\\\\)

        3m = 6 + 9

        3m = 15     {Divide both sides by 3}

     3m/3 = 15/3

m = 5

The number of measurements, and the mode being the most frequently occurring value among the snowfall measurements.

The mean, median, and mode are all useful measures of central tendency when researching the amount of snowfall in Cleveland from December to February. The mean is calculated by adding up all of the snowfall measurements and dividing that by the number of measurements. For example, if there were 4 snowfall measurements of 10, 20, 30 and 40 inches, the mean would be 25 inches (10+20+30+40 / 4). The median is the middle value of the snowfall measurements when they are arranged from least to greatest. In this example, the median would be 25 inches as well. The mode is the most frequently occurring value among the snowfall measurements. In this example, the mode is also 25 inches.

The mean, median and mode are all useful measures of central tendency when researching the amount of snowfall in Cleveland from December to February, with the mean and median being calculated by adding up all of the snowfall measurements and dividing that by the number of measurements, and the mode being the most frequently occurring value among the snowfall measurements.

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Answer:

  8 11/20 ft³

Step-by-step explanation:

For dilated figures, the ratio of volumes is the cube of the ratio of corresponding linear dimensions.

  Vn/Vm = (Hn/Hm)³

  Vn = Vm(Hn/Hm)³ = (68 2/5 ft³)((2 3/8 ft)/(4 3/4 ft))³

  Vn = (342/5 ft³)((19/8)/(19/4))³ = (342/5 ft³)(1/2)³ = 342/40 ft³

  Vn = 8 11/20 ft³

The volume of Prism N is 8 11/20 ft³.

Answer:

The answer is 8 11/20.

Answer:

60

Step-by-step explanation:

Greatest common factor of 360 and 150 is 30

that means one side of square-size plots will be 30 m

our total area is 360x150

area of square-size plot is 30x30

360x150/30x30 = 12x5 = 60

The Pythagorean theorem is a fundamental concept in geometry that relates the lengths of the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Mathematically, it can be expressed as:

a² + b² = c²

where a and b are the lengths of the two legs of the right triangle, and c is the length of the hypotenuse.

The converse of the Pythagorean theorem states that if the square of the length of one side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.

The Pythagorean theorem is a powerful tool in solving problems involving right triangles. It allows us to calculate unknown side lengths or determine whether a triangle is a right triangle based on the lengths of its sides. It has numerous applications in various fields, including engineering, architecture, physics, and navigation.

Understanding the Pythagorean theorem and its converse is essential for working with right triangles and applying geometric principles. It provides a foundation for further exploration of trigonometry and advanced geometric concepts.

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The derivative \(\( y' \)\) of the implicit function \(\( y^2 - xy = -2 \)\) is 0, indicating a constant slope with no change in relation to \(\( x \)\).

To find \(\( y' \)\)for the implicit function \(\( y^2 - xy = -2 \)\), we can differentiate both sides of the equation with respect to \(\( x \)\) using the chain rule. Let's go step by step:

Differentiating \(\( y^2 \)\) with respect to \(\( x \)\) using the chain rule:

\(\[\frac{d}{dx}(y^2) = 2y \cdot \frac{dy}{dx}\]\)

Differentiating \(\( xy \)\) with respect to \(\( x \)\) using the product rule:

\(\[\frac{d}{dx}(xy) = x \cdot \frac{dy}{dx} + y \cdot \frac{dx}{dx} = x \cdot \frac{dy}{dx} + y\]\)

Differentiating the constant term (-2) with respect to \(\( x \)\) gives us zero since it's a constant.

So, the differentiation of the entire equation is:

\(\[2y \cdot \frac{dy}{dx} - (x \cdot \frac{dy}{dx} + y) = 0\]\)

Now, let's rearrange the terms:

\(\[(2y - y) \cdot \frac{dy}{dx} - x \cdot \frac{dy}{dx} = 0\]\)

Simplifying further:

\(\[y \cdot \frac{dy}{dx}\) \(- x \cdot \frac{dy}{dx} = 0\]\)

Factoring out:

\(\[(\frac{dy}{dx})(y - x) = 0 \]\)

Finally, solving:

\(\[\frac{dy}{dx} = \frac{0}{y - x} = 0\]\)

Therefore, the derivative \(\( y' \)\) of the given implicit function is 0.

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This statement is true

A probability is a numerical value that indicates the chance, or likelihood, of a specific event occurring. Probability is the measure of the likelihood of a random event happening, and it is expressed as a number between 0 and 1, with 0 implying that the event would never occur and 1 implying that it is certain to happen.

The probability of an event happening is referred to as its likelihood. Probability can be expressed as a fraction, percentage, or decimal, and it is a vital tool in statistics. It is frequently utilized in mathematics to estimate real-world situations that involve random variables such as coin flips, weather patterns, stock market trends, and even sporting events.

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The answer is 13.5 gallon, using arithmetic operation

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

A family drinks 3 gallons of milk in two weeks.

in one week the family will drink is 3/2.

So in 9 week they going to drink = 3/2 * 913.5  galllons of milk.

Hence the family will drink 13.5 gallons of milk in 9 weeks.

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The closest option is D. $-0

To determine the gain or loss on the repurchase of stock, we need to compare the repurchase price with the original sale price.

Original sale price: 500,000 shares * $50 per share = $25,000,000

Repurchase price: 12,000 shares * $40 per share = $480,000

To calculate the gain or loss, we subtract the repurchase price from the original sale price:

Gain or Loss = Original Sale Price - Repurchase Price

            = $25,000,000 - $480,000

            = $24,520,000

Since the result is a positive value, it represents a gain. Therefore, the company will recognize a gain of $24,520,000 on its income statement.

The given options do not include this exact amount, so the closest option is D. $-0-. However, it is important to note that the gain is not zero but rather $24,520,000.

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There are 13 teams in the softball league, so there are 13 options for the first-place team. Once the first-place team is determined, there are 12 remaining teams for the second-place spot. Finally, there are 11 remaining teams for the third-place spot. Therefore, the number of different end-of-the-season rankings of first, second, and third place is possible is:

13 x 12 x 11 = 1,716

So there are 1,716 possible rankings.

Answer:

The first chocie  (0,3), (1,6), (2,9)

Step-by-step explanation:

Just plug each point into the equation and see if it is correct.

y-3 = 3x

for (0,3) -->   3-3=3(0) -->0 = 0   true

for (1,6) -->  6-3 = 3(1) -->   3=3   true

fpr (2,9) -->9-3 = 3(2) -->  6=6   true

B .The value of f(x) is increasing for each unit decrease in x  about the graph is correct.

What is the graph of exponential function?

The graphs of exponential functions are nonlinear—because their slopes are always changing, they look like curves, not straight lines

Exponential function f(x) is given

According to given graph, The value of f(x) is increasing for each unit decrease in x

Therefore, The statement, The value of f(x) is increasing for each unit decrease in x about the graph is correct.

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Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently.

Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently, it is recommended to consider creating a new dependent entity to represent the values. This can help to simplify the design and make it easier to manage and maintain. The new entity can be linked to the original entity through a relationship, allowing each value to be processed independently while still maintaining the integrity of the data. Overall, this approach can improve the efficiency and effectiveness of the system, making it easier to work with and providing better results for the end user.

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True, Harvesting at the mathematical maximum sustainable yield (MSY) can be risky for the long-term sustainability of a fishery.

The concept of MSY is based on the idea of maximizing the catch of fish without depleting the population. However, it assumes that fish populations can be managed as single-species entities and that they can be harvested at a constant rate.

In reality, ecosystems are complex and interconnected, and fish populations interact with other species and the environment in various ways. Harvesting at the MSY level may not consider the broader ecological impacts and can lead to unintended consequences.

While maximizing the catch in the short term may seem beneficial, it can result in overfishing and the depletion of fish stocks over time.

This can disrupt the balance of the ecosystem, impact other species that rely on the fish population, and threaten the long-term sustainability of the fishery.

It is important to consider factors such as the reproductive capacity of fish, their life history traits, and the overall health of the ecosystem when setting sustainable fishing limits.

Sustainable fisheries management practices often involve adopting precautionary approaches that prioritize the conservation and responsible use of fishery resources to ensure their long-term viability.

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Answer:

Negative

Step-by-step explanation:

Think about it this way, you cannot do something positive and then do something negative and it still be positive. You cannot do something negative and then do something positive for it to be positive. But you can do something positive and do something else positive for it to remain positive the same with negative. Therefore the answer is "negative."

Rules:

Positive ÷ Negative = Negative

Positive × Positive = Positive

Negative ÷ Negative = Positive

Hope this helps.

During the 24-hour period between 4pm on 12/26/2015 and 4pm on 12/27/2015, the dew point temperature changed substantially. The water vapor content and relative humidity were also affected by this change.

Based on the information provided, it is indicated that the dew point temperature changed substantially during the 24-hour period. The dew point temperature is the temperature at which air becomes saturated, causing water vapor to condense into dew or fog. A substantial change in the dew point temperature suggests a significant shift in the moisture content of the air.

As a result, the water vapor content and relative humidity are also affected. Water vapor content refers to the amount of water vapor present in the air, while relative humidity measures the percentage of moisture in the air compared to its maximum capacity at a given temperature. When the dew point temperature changes substantially, it implies that the air's capacity to hold water vapor has also changed, thus influencing the relative humidity.

Therefore, the main conclusion is that the change in the dew point temperature had a substantial impact on both the water vapor content and the relative humidity during the entire 24-hour period.

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Answer:

0.0016

Step-by-step explanation:

Hope this helps!

Answer:

x=2.24

Step-by-step explanation:

To do this problem, you must find the scale factor. Using two corresponding sides you can find it.

Using 2.4 and 3:

2.4 / 3 = 0.8

Scale factor: 0.8

Now find x:

2.8 × 0.8 = 2.24

x = 2.24

Hope this helped.

Answer:

240 cubic cm

Step-by-step explanation:

Volume of a cone = 1/3(nr^2h)

volume of a cylinder = nr^2h

n = 22/7

r = radius

The volume of a cone is 1/3 that of a cylinder

to determine the volume of the cylinder with the same parameters as a cylinder, multiply the volume of the cone by 3

80 x 3 = 240 cubic cm

Answer:

7x(-4+5y)

Step-by-step explanation:

Answer:

D: 7y(-4x + 5)

Step-by-step explanation:

Edge 2021

Answer:

Adult: $7

Student $3

Step-by-step explanation:

Hello!

We can use a system of linear equations to find the solution.

Let the price of adult tickets be x, and the price of student tickets are y.

The price of Day 1 can be represented by 6x + 14y = 84, and the second day can be represented by 12x + 7y = 105.

We can solve the system by graphing both equations on a coordinate plane and finding the point of intersection.

The point of intersection happens at x-coordinate 7 and y-coordinate 3. Recall that x is assigned to the price of adult tickets, and y is assigned to student tickets.

The price of adult tickets is $7, and the price of student tickets is $3.

Answer:

8

Step-by-step explanation:

First, let's find the derivative of the equation.

According to one of the rules of derivatives, d/dx tan(x) = sec²(x)

We also don't mess with the 2 since it's a constant

f'(x) = 2sec²(x)

Now just plug in 2π/3

2sec²(2π/3) = 8

Instantaneous rate of change is 8 at x = 2π/3

9514 1404 393

Answer:

  n = 16

Step-by-step explanation:

Angle ABC is the sum of its parts.

  ∠ABC = ∠ABF +∠FBC

  159° = (7n +20)° +(2n -5)°

  159° = 9n° +15° . . . . . . . . . . . . . . collect terms

  144° = 9n° . . . . . . . . . . subtract 15°

  16° = n°

  n = 16

Answer:

The right answer is:

(a) 0.4866

(b) 10.3972

Step-by-step explanation:

Let X be the number of days,

X is \(exp(\lambda)\),

⇒ \(\lambda =\frac{1}{15}\)

now,

⇒ \(F_x(x) = P(X \leq x)\)

              \(=1-e^{-\lambda x}\)

              \(=1-e^{-\frac{x}{15} }\)

or,

\(x>0\)

(a)

⇒ \(P(X<10)=F_x(10)\)

                      \(=1-e^{\frac{10}{15} }\)

                      \(=1-e^{\frac{2}{3} }\)

                      \(=0.4866\)

(b)

If the medium be m, then

\(P(X=m) = \frac{1}{2}\)

                 \(=2^{-1}\)

⇒\(1-e^{-\frac{m}{15} } = \frac{1}{2}\)

        \(e^{-\frac{m}{15} } = 2^{-1}\)

             \(m= 15\ ln2\)

                 \(=10.3972\)  

Answer:

Well x=3.375

Step-by-step explanation:

That's all I got.... sorry......

Answer:

15 12 6

Step-by-step explanation:

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