A and B are supplementary angles. If A=(3x-17) and B = (2x-23), then find the measure of B

Answer: 10 weeks

Step-by-step explanation:

The doctor currently has 12 ounces. She buys a 3 lb jar of treats. She uses 6 ounces of treats each week.

Step 1: Convert the 3 lb jar into ounces.

3 lb x (16 oz/1 lb) = 48 oz

Step 2: Add the 12 ounces she has left to the 48 ounces in the jar.

12 oz + 48 oz = 60 oz

Step 3: Determine when the doctor will run out of treats based on the total amount she has and how many she uses each week.

60 oz x (1 week/6 oz) = 10 weeks

Answer:

Step-by-step explanation:

Answer:

The surface area is the sum of all the faces (or surfaces) of a 3D shape. Composite figures are 2 figures put together. (There is an example of a composite figure below) You find an area of both shapes and then add them together, to find the area of the full figure.

Step-by-step explanation:

Step-by-step explanation:

10 goals out of 27 attempts gives a ratio of

10/27 = 0.37037037... goals per shot.

now, for 35 shots we expect

35 × 10/27 = 350/27 = 12.96296296... ≈ 13 goals

The utilitarian hedonistic calculus is a system that attempts to determine the morality of an action based on its overall utility and the resulting pleasure or happiness it produces. The factors that are considered in this calculus include the intensity, duration, certainty or uncertainty, propinquity or remoteness, fecundity, purity, and extent of the pleasure or pain that will result from the action.

However, there is one factor that is not considered in the utilitarian hedonistic calculus, and that is the individuality of the persons involved. This means that the calculus does not take into account the unique qualities, desires, and preferences of the individuals affected by the action. Instead, it treats them all as if they were interchangeable and equally capable of experiencing pleasure or pain.

This lack of consideration for individuality has been criticized as a weakness of the utilitarian hedonistic calculus, as it can lead to outcomes that are unfair or unjust. For example, the calculus might suggest that it is acceptable to sacrifice the happiness of a minority group for the greater good of the majority, even if this violates their rights and dignity as individuals.

In summary, the utilitarian hedonistic calculus does not factor in individuality as a consideration in determining the morality of an action.

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The tangent line has the largest slope at x = 3√2 and x = -3√2 on the curve y = 1 + 60x³ − 2x⁵.

First, let's find the derivative of the given function y = 1 + 60x³ − 2x⁵ using the power rule for differentiation:

dy/dx = 0 + 3(60)x² - 5(2)x⁴

= 180x² - 10x⁴

To find the critical points, we set the derivative equal to zero and solve for x:

180x² - 10x⁴ = 0

Factoring out common terms, we get:

10x²(18 - x²) = 0

Setting each factor equal to zero, we have:

10x² = 0 or 18 - x² = 0

From the first equation, we find x = 0.

From the second equation, we have:

18 - x² = 0

x² = 18

Taking the square root, we get:

x = ±√18

= ±3√2

So the critical points are x = 0, x = 3√2, and x = -3√2.

Now we need to evaluate the slope at these critical points. We can do this by plugging each x-value into the derivative:

When x = 0:

dy/dx = 180(0)² - 10(0)⁴ = 0

When x = 3√2:

dy/dx = 180(3√2)² - 10(3√2)⁴ = 180(18) - 10(216) = 3240 - 2160 = 1080

When x = -3√2:

dy/dx = 180(-3√2)² - 10(-3√2)⁴ = 180(18) - 10(216) = 3240 - 2160 = 1080

The slope is 0 when x = 0 and 1080 when x = 3√2 or x = -3√2.

Therefore, the tangent line has the largest slope at x = 3√2 and x = -3√2 on the curve y = 1 + 60x³ − 2x⁵.

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The complete question is as follows:

At which points on the curve y = 1 + 60x³ − 2x5⁵ does the tangent line have the largest slope?

The intersection of two events A and B contains only those outcomes that are in both A and B.

The intersection of two events A and B, denoted by A ∩ B, is the set of all outcomes that are common to both A and B. In other words, it contains only those outcomes that are in both A and B.

For example, if event A is "rolling an even number on a fair six-sided die" and event B is "rolling a number greater than 3 on a fair six-sided die", then the intersection of A and B is the event "rolling an even number greater than 3 on a fair six-sided die", which contains the outcome 4 and has probability \(\frac{1}{6}\).

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A dot plot is a simple graphical representation of data where each data point is represented by a dot on a number line or a coordinate axis. To interpret a dot plot, consider the following steps:

1. Identify the data points: Look at the dots and their positions on the number line or axis to determine the individual data points.
2. Determine the range: Find the minimum and maximum values represented in the plot to establish the range of the data.
3. Assess the distribution: Analyze the concentration of the dots to determine if the data is evenly distributed, skewed, or has clusters.

If you provide the specific dot plot, I'd be happy to help you interpret the data represented by it.

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The direct variation is y = 3/2 x, the value of y for x = 3 is 9/2.

A direct variation is defined as having variables that are directly proportional. When one variable's value rises, the other variable's value rises as well, and vice versa. Assuming k is constant, the following is how a direct variation is expressed:

y=kx

As y varies directly with x,

using direct variation,

y = kx

given, y = 3/4 when x = 1/2,

⇒ 3/4 = k 1/2

⇒ k = 3/2

when x = 3,

the value of y will be -

y = kx

⇒ y = 3/2. 3

⇒ y = 9/2

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Answer: The correct Answer is D

Step-by-step explanation:  A linear function has a constant rate of change, and any two rows of the shown table can be used to calculate this rate. From the first row to the second, the value of x is increased by 2 and the value of f(x) is increased by 6 = 4 − (−2). So the values of f(x) increase by 3 for every increase by 1 in the value of x. Since f(2) = 4, it follows that f(2 + 1) = 4 + 3 = 7. Therefore, f(3) = 7.

Hope it helped!

Answer:

6.3232 is greater

Step-by-step explanation:

\((\stackrel{x_1}{-15}~,~\stackrel{y_1}{-10})\qquad (\stackrel{x_2}{-20}~,~\stackrel{y_2}{-12}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-12}-\stackrel{y1}{(-10)}}}{\underset{\textit{\large run}} {\underset{x_2}{-20}-\underset{x_1}{(-15)}}} \implies \cfrac{-12 +10}{-20 +15} \implies \cfrac{ -2 }{ -5 } \implies {\Large \begin{array}{llll} \cfrac{2 }{ 5 } \end{array}}\)

Answer: The slope is -2/5

Step-by-step explanation:

Answer:

f(-2) = 0

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Functions

Step-by-step explanation:

Step 1: Define

Identify given function.

f(x) = x² - 4

Step 2: Find f(-2)

∴ the function when x = -2 is equal to 0.

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Topic: Algebra I

The largest value that f(4) can possibly be is 29.

The mean value theorem states that for a function f(x) that is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), there exists a number c in the open interval (a, b) such that:

f(b) - f(a) = f'(c)(b - a)

In this case, we are given that f(0) = -3 and that f'(x) ≤ 8 for all values of x. To determine how large f(4) can possibly be, we can use the mean value theorem with a = 0 and b = 4:

f(4) - f(0) = f'(c)(4 - 0)

Substituting the given values:

f(4) - (-3) = f'(c)(4)

f(4) + 3 = 4f'(c)

Since f'(x) ≤ 8 for all values of x, we can say that f'(c) ≤ 8. Therefore:

f(4) + 3 ≤ 4f'(c) ≤ 4(8) = 32

Therefore, we have:

f(4) ≤ 32 - 3 = 29

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Answer:

see explanation

Step-by-step explanation:

∠ 1 + ∠ 2 = 90, that is

x + x - 8 = 90

2x - 8 = 90 ( add 8 to both sides )

2x = 98 ( divide both sides by 2 )

x = 49

Marko has made profit of 17 dollars.

Given that, Marko earns $15 for each lawn he mows, $10 for each yard he weeds, and $5 for each yard he rakes.

Total amount spent = $(3+36+14)

= $53

Total money earned = $(15×3+5×5)

= $(45+25)

= $70

Profit = Total money earned-Total amount spent

= 70-53

= $17

Therefore, Marko has made profit of 17 dollars.

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Im pretty sure its

(6, 0)

(0, –30)

I could be wrong though..

There are 6,158,592 ways to place the passengers into the vans.

Since each van has 9 passenger seats and there are a total of 10 people, it is not possible to place all of them in one van.

Thus, we need to consider two cases:

9 people in the blue van, 1 person in the red van.

There are 10 ways to choose the person who will ride in the red van, and the remaining 9 people will go in the blue van.

There is only 1 way to arrange the passengers in the red van, and 9! ways to arrange the passengers in the blue van.

The total number of ways for this case is:

10 x 9! = 3,628,800

8 people in the blue van, 2 people in the red van.

There are 45 ways to choose the two people who will ride in the red van, and the remaining 8 people will go in the blue van.

There are 2 ways to choose which person will sit in which seat in the red van, and 8!/(2!6!) ways to arrange the passengers in the blue van.

The total number of ways for this case is:

45 × 2 × (8!/2!6!) = 45 × 2 × 28 × 7! = 2,529,792

The total number of ways to place the passengers into the vans is:

3,628,800 + 2,529,792 = 6,158,592

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Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

Answer:

r = -5

Step-by-step explanation:

common ratio (r) is found be dividing one term by its preceding term:

r = 275 ÷ -55 = -5

or, r = -55 ÷ 11 = -5

Therefore, r = -5

Answer:

very hard question

Step-by-step explanation:

A string of length 6 can be formed using the symbols from the alphabet {A,B,C,D,E,F}, such that the string begins with either A, E, or F and ends in D in the following ways: There are 3 ways to select the first symbol (A, E, or F) of the string.

There are 6 ways to select the second symbol of the string (since any of the six symbols can be chosen at this point). There are 6 ways to select the third symbol of the string (since any of the six symbols can be chosen at this point). There are 6 ways to select the fourth symbol of the string (since any of the six symbols can be chosen at this point). There are 6 ways to select the fifth symbol of the string (since any of the six symbols can be chosen at this point).

There is only 1 way to select the sixth symbol (since it has to be D).Hence, the total number of ways to form the string of length 6 using the symbols from the alphabet {A,B,C,D,E,F}, such that the string begins with either A, E, or F and ends in \(D is 3⋅6⋅6⋅6⋅6⋅1 = 3⋅6⁴ = 3⋅1296 = 3888.\) , the correct option is (a) 3⋅6⁴.

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The number of ways to select a committee with 3 men and 3 women is 200.

We have a group. The number of men in the group is 6. The number of women in the group is 5. We need to find out the number of ways to select a committee with 3 men and 3 women.

We will use the concepts of permutations and combinations. The number of ways to select 3 men out of 6 men is 6C3 = 20. The number of ways to select 3 women out of 5 women is 5C3 = 10. The total number of ways to form the committee that consists of 3 men and 3 women is the product of the above-mentioned calculation.

N = 20*10

N = 200

Hence, the number of ways to select a committee with 3 men and 3 women is 200.

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The volume of the tank can be found using the given information as:\(Volume=\int\limits^b_a {\pi f(x)^2} \, dx\)

Assuming that the area bounded is given by a function f(x), the volume of the oil storage tank can be calculated using the formula for the volume of a solid of revolution:

\(Volume=\int\limits^b_a {\pi f(x)^2} \, dx\)

where a and b are the limits of integration. In this case, the axis of revolution is the x-axis, so we are revolving the area about the x-axis.

Therefore, the volume of the tank can be found using the given information as:

\(Volume=\int\limits^b_a {\pi f(x)^2} \, dx\)

We need more information about the function f(x) or a curve that bounds the area in order to find the limits of integration and calculate the volume.

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The fully factored form of the expression is:

3a^2y(a^2y − 4)(ay + 2/ay)

To factor this expression completely, we can first factor out the greatest common factor, which is 3a^2y:

3a^4y^3 − 12a^3y^2 + 6a^2y = 3a^2y(a^2y − 4y + 2)

Next, we can factor the quadratic expression inside the parentheses by using the quadratic formula or by factoring out the greatest common factor of ay:

a^2y^2 − 4ay + 2 = ay [(a^2y − 4) + 2/ay]

= ay (a^2y − 4) + 2

The quadratic trinomial a2y^2 - 4ay + 2 cannot be factored further over the integers or rational numbers.

A quadratic trinomial is an algebraic expression that consists of three terms, where the highest power of the variable is 2. In other words, a quadratic trinomial has the form ax^2 + bx + c, where a, b, and c are constants and a is not equal to zero.

Therefore, the fully factored form of the expression is:

3a^2y(a^2y − 4)(ay + 2/ay)

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According to the given statement , the unknown values representing the unit rate are a = 1/22 and b = 1/22.

In a proportional relationship, the unit rate is the constant ratio between the two quantities. To find the unit rate, we need to compare the number of nails to the number of boxes. Looking at the table, we see that as the number of boxes increases, the number of nails also increases.

To find the unit rate, we can divide the number of nails by the number of boxes for each row.

For the first row: a/b = 4/88
For the second row: a/b = 6/132
For the third row: a/b = 8/176

Simplifying these fractions, we find that the unit rate for each row is 1/22, 1/22, and 1/22 respectively.

Therefore, the unknown values representing the unit rate are a = 1/22 and b = 1/22.

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Answer:

3:10 bcs 6:20 simplify by 2

Answer:

Step-by-step explanation:

In the experiment, the experimenter is studying the effects of temperature, pressure, and type of catalyst on the yield of a chemical reaction. There are three different temperatures, five different pressures, and six different catalysts being considered.

The purpose of this study is to investigate how changes in temperature, pressure, and catalyst type affect the yield of the chemical reaction. By varying these factors, the experimenter can observe and analyze their individual and combined effects on the outcome.

Through the experimental design, the experimenter will be able to gather data on the yield at different temperature, pressure, and catalyst conditions. This will allow them to identify any patterns or trends and draw conclusions about the optimal combination of these variables for maximizing the yield of the chemical reaction.

The study aims to provide valuable insights into the factors that influence the yield of the reaction, enabling scientists and engineers to optimize the process and potentially improve production efficiency.

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Answer: 1,228

Step-by-step explanation:

Answer:

question is not clear please send again

Answer:

It is n't clear

Step-by-step explanation:

Please send again