What is the area of the unshaded part of the following composite figure? Round your answer to the nearest tenth.

59.6


63


18.2


77.8

Answer:

period = 360°

Step-by-step explanation:

The period is one complete cycle of the waveform

At 0° the graph is at 40 on the vertical axis

At 360° the graph is at 40 on the vertical axis

This represents the period = 360°

Answer:

84√3

Step-by-step explanation:

6√21√28

6√7√3√7√4

(6√7√3√7)(2)

(6*7)(√3)(2)

(42)(√3)(2)

84√3

\(6\sqrt{21} \cdot \sqrt{28}\\\\=6 \left(\sqrt{21 \times 28 \right)\\\\=6\left(\sqrt{588}\right)\\\\=6\left(\sqrt{196 \times 3}\right)\\\\=6\left(14\sqrt 3\right)\\\\=84\sqrt{3}\)

Answer:

for 3644 produced books the costs will be the same.

Step-by-step explanation:

x = number of books

f(x) = production method 1 costs

g(x) = production method 2 costs

f(x) = 11.75x + 57077

g(x) = 21.25x + 22459

for what number of books (x) will that be the same ?

11.75x + 57077 = 21.25x + 22459

34618 = 9.5x

x = 34618 / 9.5 = 3644

Considering the extremas, the graph D represents the situation in this problem.

For this problem, we have that 33 days is the period between the relative maximums of the function, hence graph D represents the situation in this problem.

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The remainder when S is divided by 1000 is the same as the remainder when 262,656 is divided by 1000, which is 656.

Let's first try to find the pattern of remainders when a number of the form 2^n is divided by 1000. The pattern of remainders is as follows:

When n = 0, remainder = 1

When n = 1, remainder = 2

When n = 2, remainder = 4

When n = 3, remainder = 8

When n = 4, remainder = 16

When n = 5, remainder = 32

When n = 6, remainder = 64

When n = 7, remainder = 128

When n = 8, remainder = 256

When n = 9, remainder = 512

When n = 10, remainder = 24

When n = 11, remainder = 48

And so on...

As we can observe, the remainders start repeating after n = 10. Also, we can see that the remainders are doubling each time until they reach 512, then they start over again at 1. This cycle continues indefinitely.

Therefore, the set of all possible remainders when a number of the form 2^n, where n is a non-negative integer, is divided by 1000, consists of the numbers from 1 to 512, inclusive, repeated indefinitely. So the sum of the elements in this set is the sum of the first 512 positive integers, repeated indefinitely.

Using the formula for the sum of the first n positive integers, we get:

1 + 2 + 3 + ... + 512 = (512 * 513) / 2 = 262,656.

This sum is repeated indefinitely. Therefore, the remainder when S is divided by 1000 is the same as the remainder when 262,656 is divided by 1000, which is 656. Hence, the answer is 656.

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Answer: I just did the ones that did not already have an answer

Section A:

7. 1.5 hours

9. 480 meters

10. 10 km

Section B:

1. 40 mph

2. 160 miles

3. 168 miles

4. 5.2 mph

5. 26.25 km/h

The opportunity cost is merely the expense of not making a decision.

As a result, if you chose Project P placed above a white Project Q, the opportunity cost for such a decision is 75,000 times the estimated NPV of Project Q.

The distinction between current value of money over time value of cash outflows over time is defined as net present value (NPV).

Some key features regarding the Net Present Value (NPV) are-

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The correct answer is d) All of the above. Regression analysis results are often abused by using the model without understanding its context, predicting outside the data range without acknowledging extrapolation, and disregarding known scientific and economic theories related to the model and its variables.

Regression analysis is a statistical method used to examine the relationship between variables and make predictions based on the observed data. However, the misuse and misinterpretation of regression analysis can lead to erroneous conclusions.

Firstly, using the model without understanding its context can be problematic. The development and recommendation of a regression model are typically based on specific assumptions and limitations, as well as the data used in its construction. Applying the model to a different context without considering these factors may lead to inaccurate predictions or interpretations.

Secondly, predicting outside the region of the data without recognizing that it involves extrapolation is another common misuse of regression analysis. Extrapolation involves making predictions beyond the observed data range, which can be risky since the relationship between variables may not hold true outside the data range. Extrapolation should be approached cautiously and accompanied by a clear acknowledgement of its inherent uncertainties.

Lastly, ignoring known scientific and economic theory related to the model and its variables can also lead to misuse. Regression analysis should be interpreted in the context of existing theories and domain knowledge. Disregarding established theories can result in flawed conclusions or invalid interpretations of the regression model's results.

In conclusion, regression analysis should be used with care and understanding. It is crucial to consider the context, acknowledge the limitations of extrapolation, and incorporate relevant scientific and economic theories to ensure the appropriate use and interpretation of regression analysis results.

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Answer:

ok, here is your answer

Step-by-step explanation:

As the question and information provided do not have a specific part (a), (b), and (c) to be answered, I will provide a general approach to solving this problem.

Let's define the objective function and constraints of the given problem.

Objective function: To minimize the cost of producing Super and Regular gasoline

Cost = (price of High-Quality Fuel * amount purchased from High-Quality Fuel) + (price of Junk Petroleum * amount purchased from Junk Petroleum) + (cost of blending Super gasoline) + (cost of blending Regular gasoline)

Constraints:

- The total amount of Super gasoline produced should be less than or equal to the total amount of gasoline purchased

- The total amount of Regular gasoline produced should be less than or equal to the total amount of gasoline purchased

- The amount of High-Quality Fuel used to produce Super gasoline should be less than or equal to the total amount of High-Quality Fuel purchased

- The amount of Junk Petroleum used to produce Super gasoline should be less than or equal to the total amount of Junk Petroleum purchased

- The amount of High-Quality Fuel used to produce Regular gasoline should be less than or equal to the total amount of High-Quality Fuel purchased

- The amount of Junk Petroleum used to produce Regular gasoline should be less than or equal to the total amount of Junk Petroleum purchased

- The octane rating of Super gasoline should be greater than or equal to 96

- The octane rating of Regular gasoline should be greater than or equal to 87

- The lead content of Super gasoline should be less than or equal to 0.5 grams per litre

- The lead content of Regular gasoline should be less than or equal to 0.15 grams per litre

Now, we can set up the linear programming model for this problem and use software like Excel Solver or MATLAB to solve it and find the optimal values of the decision variables (H, J, S, R, HS, HR, JS, JR). The optimal solution will give us the minimum cost of producing Super and Regular gasoline while satisfying all the constraints.

The hourly wage of the employee is shown in the graph

Since the graph the has the point (1.40)

In 1 hour the wage of the employee is 40 dollars.

Hence the hourly wage is $40.

On factoring, the value of t is 1. This shows that the car will land on the ground after 1 sec.

Quadratic functions are functions having a leading degree of 2.

Given the function height in feet of the car after t seconds expressed as

h = -16t^2 +10t +6

The height of the car on the ground is zero, hence:

16t^2 -10t -6 = 0

8t^2 - 5t - 3 = 0

Factorize the quadratic function

8t^2 - 5t - 3 = 0

On factoring, the value of t is 1. This shows that the car will land on the ground after 1 sec.

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Answer:

1 notebook $2.39

Step-by-step explanation:

n=notebook     b= binder

6n +2b =23.52

3n +4b = 25.53

MULTIPLY THE FIRST BY -2 AND ADD BOTH

-12n -4b = -47.04

3n + 4b = 25.53

(b is eliminated since 4b -4b=0)

-9n =  -21.51

9n = 21.51

n = 2.39

As a result, **(4,15)** is the ordered pair that solves the system of equations.

A group or collection of two or more equations that share the same variables is known as a system of equations. The points where the equations cross are the typical solutions. The existence and uniqueness of the solution are influenced by the quantity of equations and unknowns. The classification of a system of equations is similar to that of a single equation

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system

In order to identify the ordered pair that resolves the set of equations:

y = 4x - 1

2x + y = 23

The first equation can be used in place of the second equation:

2x + (4x - 1) = 23

When we simplify this equation, we obtain:

6x - 1 = 23

We obtain: by adding 1 to both sides:

6x = 24

When we multiply both sides by 6, we get:

x = 4

In order to determine y, we can now change the first equation to read x = 4:

y = 4(4) - 1

y = 15

*(4,15)** is the ordered pair that solves the system of equations.

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Answer: 28% of a dollar

Step-by-step explanation:

Well, if a dollar equals 100 pennies, or in this case 100%, then to find the answer, just take 0.28, also maning 28 cent,  and multiply by 100 or move the decimal two places, meaning it's 28%.

I hope this helped a ton :)

As per the volume of a rectangular prism, it is found that 34.76% of the container is empty.

Volume of a rectangular prism

The volume of the rectangle prism is calculated by multiplying the length, breadth and height of the prism.

The formula for the volume of rectangle prism is

V = l x w x h

where

l represents the length

w represents the width

h represents the height

Given,

A shipping container is in the form of a right rectangular prism, with dimensions of 30 ft by 8 ft by 7 ft 3 in.

Here we need to find if the container holds 1096 cubic feet of shipped goods, what percent is empty

According to the given question,

Let us consider the length is 30ft, Width is 8ft and Height is 7ft.

Here the value 3ft refers the depth.

That one is also multiplied with the volume.

Therefore, the volume of the container is

=> 8 x 7 x 30

=> 1680

Therefore, the volume of the container is 1680 cubic feet.

So, here we have to percentage of the empty space for that we have to find the difference of them and convert it into percentage,

=> 1680 - 1096

=> 584

The percent of empty space is,

=> x% of 1680 = 584

=> x% = 584/1680

=> x% = 0.3476

=> x = 34.76

Therefore, 34.76% of rectangular prism container is empty.

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Volume is a measure of the amount of space occupied by a three-dimensional object. It is typically expressed in cubic units, such as cubic meters, cubic feet, or cubic centimeters. The volume of an object can be calculated by measuring its dimensions and applying the appropriate formula.

In the given questions,

1.The height of the can will increase by a factor of 2. The marketing team wants to make the new can as large as possible given their budget, and since the cost of materials for the new can is limited to $0.16, they need to use the least amount of material possible. The volume of a cylinder is given by V = πr²h, so to maximize the volume of the can while using a limited amount of material, they should increase the height of the can while keeping the radius the same. Since the volume of a cylinder is proportional to the height, doubling the height will double the volume.

2.The radius of the can will remain the same. Since the marketing team wants to make the new can as large as possible given their budget, they need to use the least amount of material possible. Increasing the radius of the can will increase the amount of material needed to make the can, which will increase the cost of materials.

3.The cans resemble a cylinder. The actual can may have minor differences in shape due to manufacturing processes or imperfections.

4.The cost for materials for the jumbo can will be $0.16, and the cost to fill the can with juice will be $0.27. Therefore, the total cost for materials and juice fill will be $0.43 per jumbo can.

5.Other factors that might cause the total cost to be different could include the cost of labor to manufacture the cans, the cost of transporting the materials and finished products, and fluctuations in the cost of materials or juice. Additionally, the marketing team may need to consider the price point of the jumbo can and the demand for the product at that price point.

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Therefore, the average value of the function \(f(x) = x^2 - 7\) on the interval [0,9] is 20.

To find the average value of the function \(f(x) = x^2 - 7\) on the interval [0,9], we need to evaluate the definite integral of the function over that interval and divide it by the length of the interval. The average value is given by:

=1/(b - a) * ∫[a,b] f(x) dx

In this case, a = 0 and b = 9, so we have:

Average value = 1/(9 - 0) * ∫[0,9] \((x^2 - 7) dx\)

Simplifying, we have:

Average value = 1/9 * ∫[0,9] \((x^2 - 7) dx\)

To find the integral, we evaluate each term separately:

∫[0,9] \(x^2\) dx = (1/3) * \(x^3\) | from 0 to 9

\(= (1/3) * (9^3 - 0^3)\)

= (1/3) * 729

= 243

∫[0,9] -7 dx = -7 * x | from 0 to 9

= -7 * (9 - 0)

= -7 * 9

= -63

Substituting these values back into the equation for the average value, we get:

Average value = 1/9 * (243 - 63)

= 1/9 * 180

= 20

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Yes. The warehouse drivers deliver enough packages.

An expression is used to illustrate the information that's given.

In this case, the warehouse has 128 trucks. Each truck has 350 packages. The number of packages that van be delivered will be:

= Number of trucks × Amount in each package

= 128 × 350

= 44800

Since the drivers at a warehouse need to deliver 40,000 packages each day. this means they denied enough packages because 44800 is more than 40000.

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Answer:

Right triangle: 90 degrees

Step-by-step explanation:

Because well, when looking at the corner edge of the triangle when the upper line matches up with the other line via both facing the x or y axis perfectly.

When measuring these angle, it's 90 degrees because the angle has a shape of a square and a square has right angles.

Hope this helps.

The area of the given triangle is 20 square kilometers.

Here, we are given a triangle as shown in the figure below.

There are many ways of calculating the area of a triangle but since here, we are given only one angle and 2 sides of the triangle we will use the following formula to calculate the area-

area of triangle = 1/2 × sinФ × side 1 × side 2

where, Ф = angle formed by side 1 and side 2

Here, Ф = 35

Sin 35 = 0.5736

Thus, the area of the triangle will be-

1/2 × 0.5736 × 7 × 10

= 35 × 0.5736

= 20.076

20.076 rounded off to nearest hundredth is 20

Thus, the area of the given triangle is 20 square kilometers.

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Your question was incomplete. Check for the missing figure below

Hi there.

The answer is B choice.

Explanation:

A function is a set of relation with no repetitive domains.

Here is an example of being a function and relation.

~ Function ~

Given the relation r = {(1,1),(2,4),(3,9),(4,16)}

As you see, there are no repetitive domains. Thus this relation is a function.

~ Relation ~

Given r = {(1,1),(1,2),(2,6),(3,28)}

As you see, there are the repetitive domains in this relation. And that is x = 1. Therefore, this relation is not a function but only a relation.

Answer:

Step-by-step explanation:

Answer:

y=3x-7

Step-by-step explanation:

Choose 2 points.

(3, 2) and (4, 5)

Use slope formula.

y2-y1/x2-x1

5-2/4-3=

=3/1=3

Slope is 3.

The y-intercept is when x is 0. The y-intercept was already given. It is -7.

Y-intercept is -7.

Now you can use the slope-intercept formula.

y=mx+b

m=slope=3

b=y-intercept=-7

y=3x-7

Hope this helps!

Please mark as brainliest if correct!

To find the coordinates of the centroid for the region bounded by the curves y=16x, y=9/x, y=0, and x=10, we need to calculate the x-coordinate and y-coordinate of the centroid separately. First, let's find the x-coordinate of the centroid.

We can use the formula: x-bar = (1/A) ∫[a,b] xf(x) dx, where A is the area of the region. The intersection points of the curves y=16x and y=9/x can be found by setting the equations equal to each other: 16x=9/x.

Solving this equation, we get x=±√(9/16)=±3/4. Since the region is bounded by x=10, we take the positive value x=3/4. To find the area A, we integrate the difference between the curves: A=∫[3/4,10] (16x-9/x) dx. Evaluating this integral, we find A=400-9ln(10).

Now we can calculate the x-coordinate of the centroid: x-bar=(1/A) ∫[3/4,10] x(16x-9/x) dx. Simplifying the integral and evaluating it, we get x-bar=(8160-36ln(10))/(400-9ln(10)). Next, let's find the y-coordinate of the centroid.

Since the region is symmetric about the x-axis, the y-coordinate of the centroid will be y-bar=0. Therefore, the exact coordinates of the centroid for the given region are: (x-bar, y-bar)=((8160-36ln(10))/(400-9ln(10)), 0).

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Answer:

The answer is A

Step-by-step explanation:

An appositive is usually used to describe a topic, and usually is near the beginning of a sentence or before or after a noun followed by a comma.

In this case “, a very delightful insect, “ comes after ladybug.

I tried my best to answer this question, thank you have a great day

Answer:

G. 3:5 is the answer.

Step-by-step explanation:

the rest of the choises are wrong.

Answer:

8 × 10^4

Step-by-step explanation:

Count the number of zeros after 8.

Answer:

80,000= 8*10^4

Step-by-step explanation:

I hope this helps!!!!!

Answer:

x+2/x-3

Step-by-step explanation:

= x/x-3 + 2(x+1)/(x-3)(x+1)

= x+2/x-3