1.3 of 98 yards the hole building 98 yards.what do I have to do to get 98yards

The value of the function operation f - g(x) is 3x² + x

Function operations refer to mathematical operations that can be performed on functions, such as addition, subtraction, multiplication, and composition.

Addition and subtraction of functions:

A function can be added or subtracted with another function if both of them have the same domain. The result is a new function with the same domain as the original functions.

Multiplication of functions:

Two functions can be multiplied together to create a new function. The result is a new function whose value at each point in the domain is the product of the original functions' values at that point.

Composition of functions:

Function composition is the application of one function to the result of another function. The result is a new function that is the composition of the original functions. It is represented by (f ∘ g) (x) = f(g(x)) where f and g are the functions being composed.

In this problem, we have two functions which are;

The value of (f - g)(x) = 3x² + x

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Answer:

n ≤ 1 or n ≥ 7

Step-by-step explanation:

solve each part separately

86n + 13 ≤ 99 ( subtract 13 from both sides )

86n ≤ 86 ( divide both sides by 86 )

n ≤ 1

n + 90 ≥ 97 ( subtract 90 from both sides )

n ≥ 7

solution is n ≤ 1 or n ≥ 7

Answer:

16,17,18

your welcome

A linear programming problem consists of a linear function to be to be maximized or minimized. It is subject to a set of constraints given in the form of linear equations or inequalities.

Linear programming is the programming in which selecting the best possible choice from those available alternatives whose constraint function and the objective function can be referred to as the linear mathematical function.

Linear programming is used for the optimization of linear objective.

It is used as constrained optimization, from where the objective functions and constraints all are linear.

If a maximization linear programming problem consists of all less-than-or-equal-to constraints with all positive coefficients and the objective function consists of all positive objective function coefficients, then rounding down the linear programming optimal solution values of the decision variables

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Answer:

2

Step-by-step explanation:

Given two points on the line, we can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 7 - -3)/(3 - -2)

    = (7+3)/(3+2)

    = 10/5

    =2

At a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

According to the given model C = 0.37219T + 1,560, where C represents the number of calories an idle mouse burns each day and T represents the temperature of its environment in °C.

To find the most comfortable temperature for an idle mouse, we need to determine the temperature at which the mouse burns the least amount of calories per day.

To find this temperature, we can minimize the equation C = 0.37219T + 1,560. To do so, we take the derivative of C with respect to T and set it equal to zero:

dC/dT = 0.37219 = 0

Solving this equation, we find that the derivative is a constant value, indicating that the function C = 0.37219T + 1,560 is a linear equation with a slope of 0.37219. This means that the mouse burns the least calories at any temperature, as the slope is positive.

Therefore, there is no specific "most comfortable" temperature for an idle mouse in terms of minimizing calorie burn. However, if we consider the range of temperatures mice typically encounter, we can find a temperature where the calorie burn is relatively low.

For example, if we take a temperature of 20°C, we can calculate the calorie burn:

C = 0.37219 * 20 + 1,560

C = 7.4438 + 1,560

C ≈ 1,567.4438 calories per day

Therefore, at a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

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Answer:

\(y = 5 \cdot 3^x\)

Step-by-step explanation:

It was not quadratic or cubic, but exponential.

The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

The functions for this problem are defined as follows:

When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.

Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

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Answer:

819 cm³

Step-by-step explanation:

Volume of a cuboid = l*b*h

Answer:

B

Step-by-step explanation:

The correct answer is B. A person-to-person payment would best be used to repay my uncle who covered the cost of my first semester textbooks.

P2P payments are forms of economic interaction through mobile applications, in which people, almost always in person, decide to exchange funds among themselves using these applications.

In this way, a return of money between two parties with a family closeness is the perfect example in which the use of this payment method would be used.

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The smallest positive debt that can be paid off using sticker trading is $7$ dollars.

To find the smallest positive debt that can be paid off using sticker trading, we need to consider the values of the stickers (in dollars) and find the smallest positive amount that can be reached through a combination of these values.

Given that a Harry Potter sticker is worth $49 and a Twilight sticker is worth $35, we can approach this problem using the concept of the greatest common divisor (GCD) of these two values.

The GCD of $49$ and $35$ is $7$. This means that any multiple of the GCD can be represented using these sticker values.

In other words, any positive multiple of $7$ dollars can be paid off using sticker trading.

Therefore, the smallest positive debt that can be paid off using sticker trading is $7$ dollars.

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The translation of a rectangle two units up and two units right is given by (x, y) ⇒ (x + 2, y + 2)

A rigid transformation is a transformation that preserves the shape and size of a figure. Examples of rigid transformation are translation, reflection and rotation. Rigid transformation produces congruent figures.

Translation is the movement of a shape either up, left, right or down in the coordinate plane.

The translation of a rectangle two units up and two units right is given by (x, y) ⇒ (x + 2, y + 2)

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Comparing the √17 and 29/7 using <, > or = , we have √17 < 29/7.

Mathematical number comparison is the process or method of comparing two numbers to determine whether one is less, bigger, or equal to the other. The comparison symbols for numbers are "=", which stands for "equal to," "=", which stands for "greater than," and " ", which stands for "less than." Comparing amounts is a technique for figuring out how much to compare units in relation to a different standard or reference unit. A common reference point is necessary for two comparing units to be compared; otherwise, they cannot be compared.

Given,

Comparing the following using <, > or = ,

Numbers:

√17 and 29/7

For √17

Simplifying,

√17 = 4.123

For 29/7

29/7 = 4.14

√17 < 29/7

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Answer:

Step-by-step explanation:

?

The area of the geometry will be 53.1 square feet. Then the correct option is B.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The figure is the combination of the triangle and semicircle.

Then the area will be

Area = area of triangle + area of semicircle

Area of triangle = 1/2 x 8 x 7

Area of triangle = 28 square ft

Area of semicircle = (π / 8)  x 8²

Area of semicircle = 25.13 square ft

Then the area of the geometry will be

Area = 28 + 25.13

Area = 53.1 square feet

Then the correct option is B.

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Answer:

20%

Step-by-step explanation:

The theoretical probability of drawing a red marble can be found by dividing the number of red marbles by the total number of marbles in the bag:

P(red) = number of red marbles / total number of marbles

P(red) = 5 / (5 + 8 + 12)

P(red) = 5 / 25

P(red) = 0.2

So the theoretical probability of randomly drawing a red marble is 20%, which corresponds to option (C).

a) To maximize profits, 10 units should be sold in market 1 and 5 units in market 2.

b) The corresponding prices are $180 in market 1 and $160 in market 2.

c) If it becomes illegal to discriminate, the profit loss is $50.

d) The imposition of a tax of $5 per unit sold in market 1 would likely decrease the monopolist's profit and potentially lead to adjustments in prices and quantities sold in both markets.

a) To maximize profits, the monopolist should set marginal revenue equal to marginal cost in each market.

In this case, marginal revenue is equal to the derivative of the demand function with respect to quantity, and it can be calculated as MR = dP/dQ.

For market 1:

MR₁ = dP₁/dQ₁ = -2

For market 2:

MR₂ = dP₂/dQ₂ = -4

Setting MR equal to marginal cost, which is the derivative of the cost function with respect to quantity, gives:

MR₁ = -2 = dC/dQ₁ = 20

MR₂ = -4 = dC/dQ₂ = 20

Solving these equations, we find:

Q₁ = 10

Q₂ = 5

Therefore, the monopolist should sell 10 units in market 1 and 5 units in market 2 to maximize profits.

b) To determine the corresponding prices, we substitute the quantities obtained in part (a) into the demand functions:

For market 1:

P₁ = 200 - 2Q₁ = 200 - 2(10) = 180

For market 2:

P₂ = 180 - 4Q₂ = 180 - 4(5) = 160

Therefore, the corresponding prices are $180 in market 1 and $160 in market 2.

c) To calculate the profit lost if it becomes illegal to discriminate, we need to compare the profits under discrimination with the profits under non-discrimination.

Under discrimination, the monopolist charges different prices in each market, while under non-discrimination, the same price is charged in both markets.

Under discrimination:

Profit = Total revenue - Total cost

For market 1:

Total revenue₁ = P₁ \(\times\) Q₁ = 180 \(\times\) 10 = $1

For market 2:

Total revenue₂ = P₂ \(\times\) Q₂ = 160 \(\times\) 5 = $800

Total revenue = Total revenue₁ + Total revenue₂ = $1800 + $800 = $2600

Total cost = C = 20(Q₁ + Q₂) = 20(10 + 5) = $300

Profit = Total revenue - Total cost = $2600 - $300 = $2300

Under non-discrimination:

Since the same price is charged in both markets, we take the average price:

Average price = (P₁ + P₂) / 2 = (180 + 160) / 2 = $170

Total revenue = Average price \(\times\) (Q₁ + Q₂) = $170 \(\times\) (10 + 5) = $2550

Total cost remains the same at $300.

Profit = Total revenue - Total cost = $2550 - $300 = $2250

Therefore, the profit lost if discrimination becomes illegal is $2300 - $2250 = $50.

d) The imposition of a tax of $5 per unit sold in market 1 would increase the cost per unit for the monopolist.

This would affect the profit-maximizing quantity in market 1 and potentially lead to a change in prices.

The monopolist would compare the new marginal cost, which includes the tax, with the marginal revenue to determine the new profit-maximizing quantities and prices.

The tax would likely reduce the monopolist's profits and could potentially result in adjustments in production and pricing strategies.

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Solving the trigonometric equation [cos( x-10)º = sin(4x)º], we obtain the value of "x" to be 20.

As per the question statement, we are provided with an equation          [cos( x-10)º = sin(4x)º],

And we are required to solve the above mentioned equation for it's variable "x".

To solve this question, we need to know about one standard trigonometric relation between Sine and Cosine, which goes as,   [Sin(90 - θ) = Cos(θ)].

Now comparing [Sin(90 - θ) = Cos(θ)] to our concerned equation, we get,

[(90 - θ) = 4x] and [θ = (x - 10)]

Now, substituting [θ = (x - 10)] in [(90 - θ) = 4x], we get,

[{90 - (x - 10)} = 4x],

Or, [(90 - x + 10) = 4x]

Or, [(4x + x) = (90 + 10)]

Or, (5x = 100)

Or, [x = (100/5)]

Or, (x = 20)

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Answer:

  \(f^{(k)}(x)=\dfrac{17k!(-1)^k}{(x-9)^{k+1}}\)

Step-by-step explanation:

The question presumes you have access to a computer algebra system. The one I have access to provided the output in the attachment. The list at the bottom is the list of the first four derivatives of f(x).

__

The derivatives alternate signs, so (-1)^k will be a factor.

The numerators start at 17 and increase by increasing factors: 2, 3, 4, indicating k! will be a factor.

The denominators have a degree that is k+1.

Putting these observations together, we can write an expression for the k-th derivative of f(x):

  \(\boxed{f^{(k)}(x)=\dfrac{17k!(-1)^k}{(x-9)^{k+1}}}\)

Answer:

j < 2

Step-by-step explanation:

Simplify both sides of the inequality and isolating the variable would get you the answer

The two cars must be approximately 177.34 feet apart from each other for Spiderman to have different depression angles to each car.

To find the distance between the two cars, we can use trigonometry and the concept of similar triangles. Let's denote the distance between Spiderman and the nearest car as d1 and the distance between Spiderman and the farther car as d2.

In a right triangle formed by Spiderman, the height of the hotel, and the line of sight to the nearest car, the tangent of the depression angle (52 degrees) can be used:

tan(52) = 600 / d1

Rearranging the equation to solve for d1:

d1 = 600 / tan(52)

Similarly, in the right triangle formed by Spiderman, the height of the hotel, and the line of sight to the farther car, the tangent of the depression angle (46 degrees) can be used:

tan(46) = 600 / d2

Rearranging the equation to solve for d2:

d2 = 600 / tan(46)

Using a calculator, we can compute:

d1 ≈ 504.61 feet

d2 ≈ 681.95 feet

The distance between the two cars is the difference between d2 and d1:

Distance = d2 - d1

Plugging in the values, we have:

Distance ≈ 681.95 - 504.61

Distance ≈ 177.34 feet

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(a) The range for the graduates is 86760 hours.

(c) The graduates had the greater median number of hours.

(a) The range is the difference between the maximum and minimum values in a set of data. We are given the following data:

Graduates: 9641 hours, 6655432 hours, 93310 hours, and 92501 hours

Non-graduates: 2138 hours, 3 hours, 4 hours, and 13445559 hours

The range for the graduates is 9641 - 92501 = 86760 hours.

The range for the non-graduates is 2138 - 13445559 = 13443421 hours.

(c) To find the median, we need to arrange the data in order from smallest to largest and find the middle value. If there are an even number of data points, we take the average of the two middle values.

Graduates: 9641 hours, 93310 hours, 92501 hours, 6655432 hours

The median is the average of 93310 hours and 92501 hours, which is (93310 + 92501)/2 = 92905.5 hours.

Non-graduates: 2138 hours, 3 hours, 4 hours, 13445559 hours

The median is the average of 3 hours and 4 hours, which is (3 + 4)/2 = 3.5 hours.

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Answer:

Step-by-step explanation:

The perpendicular bisector of any chord is a diameter and therefore passes through the center of the given circle.

The triangle OMA is thus rectangle.

The locus of M is the circle of diameter OA  with center (1,0) and radius 1.

Answer:

The minimum sample size  'n' = 1267.78

Step-by-step explanation:

Step:-1

Given that the sample mean is within 12 minutes

Given that the standard deviation of the Population(σ) = 218

Level of significance = 0.05

Critical value (Z₀.₀₅) = 1.96

Step(ii):-

The estimated error is defined by

                         \(E = \frac{Z_{0.05}S.D }{\sqrt{n} }\)

                        \(12 = \frac{1.96 X 218}{\sqrt{n} }\)

                        \(\sqrt{n} = \frac{1.96 X 218}{12}\)

                       √n   = 35.606

squaring on both sides, we get

                        n = 1267.78

Final answer:-

The minimum sample size  'n' = 1267.78

\(1.~\boxed{\sf0.55555555555}\boxed\)

\(2.~\boxed{\sf 0.54545454545}\boxed\)

Answer:

Step-by-step explanation:

When the input is 4, the output of f(x) = x + 21 is f(4).

Substitute x = 4 to f(x):

f(4) = 4 + 21 = 25

Answer:

25

Step-by-step explanation:

We can find the output by plugging in 4 as x into the function:

f(x) = x + 21

f(4) = 4 + 21

f(4) = 25

The equation of the line in point slope form that passes through (1,5) and slope = -3 , is  y = -3x+6 .

The equation of line in point slope form passing through the points (x₁,y₁) and slope =m is given by the formula

(y-y₁)=m(x-x₁)

In the question ,

it is given that

the line passes through the point (1,5) and has a slope m = -3.

so the values become x₁=1 and y₁=5 and m = -3

Substituting the values in the formula for equation of line , we get

(y-5)=(-3)(x-1)

y-5= -3x + 1

y = -3x + 1 + 5

y = -3x+6

Therefore , the equation of the line in point slope form that passes through (1,5) and slope = -3 , is  y = -3x+6 .

The given question is incomplete , the complete question is

Write the equation of the line in point-slope form that passes through the point (1,5) with slope = -3.

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Answer:

Step-by-step explanation:

function 2

Answer:

x = 72 degrees

Step-by-step explanation:

add the given angles: 77+31 = 108

subtract your answer from 180: 180 - 108 = 72

Answer:

72

Step-by-step explanation:

add 77+33=108

all triangles equal 180, so subtract 180-108=72