1. find the indefinite integral and check the result by differentiation. (use c for the constant of integration.) S (16׳ – 15x² + 6) dx 2. Find the indefinite integral and check the result by differentiation. (Use C for the constant of integration.)S (7 cos(x) +5 sin(x)) dx

Check the picture below.

well, ∡CED is the same as ∡CEA and those are right-angles so those are pretty much given, now

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{29}\\ a=\stackrel{adjacent}{20}\\ o=\stackrel{opposite}{CE} \end{cases} \\\\\\ CE=\sqrt{ 29^2 - 20^2}\implies CE=\sqrt{ 841 - 400 } \implies CE=\sqrt{ 441 }\implies \boxed{CE=21} \\\\\\ \stackrel{\textit{since we know the radius CB=29}}{CB-CE = EB\implies }\boxed{EB=8}\)

Answer:

angle CED 90°. CE = 21. EB = 8.

Step-by-step explanation:

angle CED = 90° (right angle).

the radius (centre to edge) is the same right around the circle.

so that means that distance CD = 29.

draw a line from C to D. notice how that has just become an hypotenuse?

we know that DE = 20.

we have a right-angled triangle.

CE² = hypot² - DE²

       = 29² - 20²

       = 841 - 400

       = 441

CE = √441 = 21.

EB must be radius subtract CE. that is, 29 - 21 = 8.

Answer:

Awwww

Step-by-step explanation:

Thank you! I hope you know that as well :). I really needed that today so thank you

Answer:

You bought 4 items.

Step-by-step explanation:

3.16 divided by 0.79 = 4

Answer:

You bought 4 items because 0.79 x 4 = 3.16

Step-by-step explanation:

Answer:

24 weeks

Explanation:

Let w represent the number of weeks Maribeth has been saving.

If she saves $25 per week and has saved a total of $600, we can find w as follows;

Answer:

-2

Step-by-step explana

he "better" option is subjective and depends on individual preferences and dietary restrictions. It might be helpful to involve everyone in your family debate and consider factors like taste, convenience, and dietary needs to reach a conclusion that satisfies everyone.

Pizza is a popular Italian dish consisting of a round, flat dough topped with various ingredients like cheese, sauce, and toppings. It offers a wide range of flavors and options, such as thin crust, deep dish, and different toppings like pepperoni, vegetables, or even dessert pizzas.

On the other hand, Popeyes is a fast-food chain known for its fried chicken and Southern-style dishes. Their menu includes items like fried chicken, biscuits, Cajun fries, and more.

In terms of personal preference, it depends on your taste and what you're in the mood for. If you're craving savory and crispy chicken with a Southern flair, Popeyes could be a great choice. If you're in the mood for a versatile and customizable meal, pizza might be the way to go.

Ultimately, the "better" option is subjective and depends on individual preferences and dietary restrictions. It might be helpful to involve everyone in your family debate and consider factors like taste, convenience, and dietary needs to reach a conclusion that satisfies everyone.

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Pizza and Popeyes are two different types of food, and the choice between them ultimately depends on individual taste and preference.

If you enjoy a variety of toppings, cheese, and crispy crust, pizza might be the better option for you. There are countless options for pizza toppings, such as pepperoni, mushrooms, or even pineapple. Pizza is also often associated with social gatherings and can be enjoyed by the whole family.
On the other hand, if you prefer fried chicken and Cajun-inspired flavors, Popeyes might be a better choice. Popeyes is known for its crispy chicken, flavorful seasonings, and sides like mashed potatoes and biscuits. It's a popular fast-food option for those craving fried chicken.

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Answer: at least 3 more games

Step-by-step explanation:

70% of 72 is 50.4

50.4 - 48 = 2.4

Because one can't win only a fourth of a game, you need to round up. Bringing us to at least 3 more games to win

Number of significant digits is -169.

In the given expression, 320.72 is subtracted by the result of dividing 6109.7 by 3.4.

To express the answer with the appropriate number of significant digits, we must consider the significant digits in each component of the calculation.

Starting with the division, 6109.7 divided by 3.4 yields approximately 1799.9117647058824.

Since 3.4 has two significant digits, the division result should also have two significant digits. Therefore, we round it to 1800.

Subtracting 1800 from 320.72 gives us -1479.28. However, since 320.72 has five significant digits, the final answer should have the same number of significant digits.

Rounding to the appropriate number of significant digits, we obtain -169.

Therefore, the result of the given expression, rounded to the appropriate number of significant digits, is -169.

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Therefore , the solution of the given problem of parallelogram comes out to be  the necessary point is (6,1).

In Euclidean geometry, a simple square containing two sets of equal distances is referred to be a parallelogram. In a particular kind of quadrilateral known as a parallelogram, both pair of opposite ends were straight and equal. There are four types of parallelograms, two of which are mutually exclusive. Rhombuses, equilateral triangles, squares, and rectangles are the four different shapes. If a quadrilateral has two sets of parallel sides, it is a parallelogram.

Here.

Therefore, AC and BD will be the diagonals.

The midpoint of a parallelogram is where its diagonals meet, therefore

The diagonals' junction point will be either AC or BD.

So, according to the mid-point theorem, the midpoint of AC is

A(1,−5) and C (11,7)

Consequently,

=> x = 1 + 11/2 = 6, and

=>Y = 7 - 5 /2 = 1

So the necessary point is (6,1).

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In the context of Range Safety and Risk Mitigation, the ability to detect, assess, and respond to potential hazards is essential.

Range safety and risk mitigation involve identifying and minimizing potential hazards associated with range operations, such as the launch or test of rockets, missiles, or unmanned aerial vehicles. To ensure safety, it is critical to have the ability to detect and assess potential hazards, such as debris, vehicle or equipment malfunctions, and human error. Once hazards have been identified and assessed, the next step is to develop and implement appropriate safety measures to mitigate the risk associated with those hazards. These measures may include the use of safety protocols, engineering controls, or administrative procedures to ensure that all personnel and equipment are protected. In summary, the ability to detect, assess, and respond to potential hazards is critical for effective range safety and risk mitigation. By implementing appropriate safety measures and protocols, the risks associated with range operations can be minimized, ensuring the safety of personnel and equipment.

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Answer:

The answer is B

Step-by-step explanation:

Answer:

It can be proved that the circle R is similar to the circle Q by translating the circle R a displacement of (-6, 12).

Step-by-step explanation:

We can demonstrate that Circle R is similar to Circle Q by translating the center of the former one to the center of latter one. Meaning that every point of circle R experiments the same translation. Vectorially speaking, a translation is defined by:

\(O'(x,y) = O(x,y) + T(x,y)\) (1)

Where:

\(O(x,y)\) - Original point.

\(O'(x,y)\) - Translated point.

\(T(x,y)\) - Translation vector.

If we know that \(O(x,y) = (2,-9)\) and \(O'(x,y) = (-4,3)\), then the translation vector is:

\(T(x,y) = O'(x,y)-O(x,y)\)

\(T(x,y) = (-4,3) - (2,-9)\)

\(T(x,y) = (-6,12)\)

It can be proved that the circle R is similar to the circle Q by translating the circle R a displacement of (-6, 12).

Answer:

175 cm^3

Step-by-step explanation:

Placing the two objects into the beaker displaces 350 cm^3 into the graduated beaker .....so each object is   350 cm^3 /2 = 175 cm^3

Answer:

30 pages per hour

Step-by-step explanation:

Leo can read 10 pages in 20 minutes.

60 minutes in a hour

20 x 3 = 60

10 x 3 = 30

Answer:

D does not show an equivalent rate

Step-by-step explanation:

we first need to find out how many words typed per minute so we divide 75 by 3 (3 divided by 3 is 1 and what we do to one side must be done to the other)

75 ÷ 3 = 25

25 word per 1 minute

now we need to multiply the minute by 25 to get the number of words typed

25(words) x 1(minute) = 25 words in 1 minute(so A is correct)

25(words) x 2(minute) = 50 words in 2 minutes(so B is correct)

25(words) x 4(minute) = 100 words in 4 minutes (so C is correct)

25(words) x 5(minute) = 125 words in 5 minutes(so D is incorrect)

Answer:

Step-by-step explanation:

9^2 - 49

=81 - 49

Subtract the numbers

81 - 49 = 32

=32

0 = 32

The coordinates of the point on the line is (1/2, -27/10)

From the question, we have the following parameters that can be used in our computation:

Point A is at (-4,-6) and point C is at (11,5).

Also, we have the ratio of AB to AC to be 3 : 7 i.e. 3/10

The partition involves dividing the line into subsegments

This means that

(x, y) = (-4,-6) and  (11,5).

m : n = 3 : 7

The coordinates of the partition are calculated as:

Point = 1/(m + n) * (mx₂ + nx₁, my₂ + ny₁)

Substitute the known values in the above equation, so, we have the following representation

Point = 1/(3 + 7) * (3 * 11 + 7 * -4, 3 * 5 + 7 * -6)

Evaluate the products

So, we have the following representation

Point = 1/10* (5, -27)

Evaluate the quotients

Point = (1/2, -27/10)

Hence, the coordinate of the partition is (x,y) = (1/2, -27/10)

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Answer: x=27    y=4

Step-by-step explanation:

Let the larger of two numbers is x and the smaller of two numbers is y

Hence,

\(\displaystyle\left \{ {x-5y=7} \atop {x+y=31}} \right.\\\\\left \{ {{x-5y=7} \atop {x+y-y=31-y}} \right. \\\\\left \{ {{x-5y=7\ \ \ \ \ (1)} \atop {x=31-y}\ \ \ \ (2)} \right. \\\)

Substitute equation (2) into equation (1):

\(31-y-5y=7\\31-6y=7\\31-6y+6y=7+6y\\31=7+6y\\31-7=7+6y-7\\24=6y\\\)

Divide both parts of the equation by 6:

\(4=y\\Hence,\\x=31-4\\x=27\)

Therefore, the height of each tent pole is approximately 17.7ft, rounded to the nearest tenth. Answer: 17.7ft.

Height is a measurement of how tall someone or something is, usually expressed in units such as feet, inches, meters, or centimeters. It is a physical dimension that describes the distance between the top of an object or person and the ground or a reference point. Height is often used to describe the size of people, animals, buildings, and other objects, and is an important factor in fields such as architecture, engineering, and athletics.

We can use trigonometry to find the height of each tent pole. Let's call the height we want to find "h".

In right triangle formed by the tent pole, the ground, and the rope, the angle between the rope and the ground is 52°. Therefore, the angle between the rope and the tent pole is 90° - 52° = 38°.

We can use the tangent function to relate the angle 38° and the height "h" to the length of the rope:

tan(38°) = h / 24ft

Solving for "h", we get:

h = 24ft * tan(38°) ≈ 17.7ft

Therefore, the height of each tent pole is approximately 17.7ft, rounded to the nearest tenth Answer: 17.7ft

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Answer:

x=9/2+y/2

Hope this helped

Answer:

-6

Step-by-step explanation:

Answer:

What are the fractions and decimals?

Step-by-step explanation:

This is a good example of confirmation bias.

Confirmation bias refers to the tendency of individuals to seek and interpret information in a way that confirms their existing beliefs or preconceptions. In this scenario, the individual has a strong belief that cigarette smoke does not increase the probability of getting cancer. They selectively search for and rely on information from the internet that supports their belief, disregarding or downplaying any conflicting evidence. This bias can prevent individuals from considering alternative perspectives or evaluating evidence objectively, potentially leading to an inaccurate or skewed understanding of the topic.

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To solve that question let's draw a Venn's Diagram:

The left circle represents all students that owned a car, and the right circle represents all students that owned an iPod. The intersection of the two circles represents students that owned both. We know that the intersection has 20 students, then

We also know that there are a total of 40 students that owned cars, 20 of them are in the intersection, which means that they owned both, then, there are 20 students that only owned a car

Now we can repeat the same logic to the iPod, there are a total of 40 students that owned iPods, 20 of them are in the intersection, then only 20 students only owned an iPod,

Then, there are 20 students that only owned an iPod, and 20 students that only owned a car. Then there are 40 students that owned either a car or an iPod.

Answer:

  11 mi/h

Step-by-step explanation:

You want the speed of the boat when it travels 12 miles upstream against a current of 5 mph in the same time it travels 32 miles downstream with the current.

The relation between time, speed, and distance is ...

  time = distance/speed

If b represents the speed of the boat, the times upstream and downstream are the same, so we have ...

  (12 mi)/(b -5) = (32 mi)/(b+5)

Multiplying by the product of the denominators gives ...

  12(b+5) = 32(b-5) . . . . . . also divided by "mi"

  12b +60 = 32b -160 . . . . multiply by (b+5)(b-5)

  220 = 20b . . . . . . . . . . . . add 160 -12b

  11 = b . . . . . . . . . . . . . . . . . divide by 20

The speed of the boat in still water is 11 miles per hour.

__

Additional comment

Each trip took 2 hours.

Answer:

P=26

Step-by-step explanation:

Answer:

Step-by-step explanation:

Begin with the fact that the area of a rectangle is A = L * W.  We know that the area is 42 and the length is 7, therefore, we can sub those values into the area formula to solve for the width.

42 = 7 * W so

w = 6 mm.

The perimeter formula is P = 2L + 2W, and now we know L and W. So

P = 2(7) + 2(6)

P = 14 + 12

P = 26

The project is performing well at the end of WEEK 7.

1. The planned value (PV) at the end of WEEK 7 is $30,000.
2. The earned value (EV) at the end of WEEK 7 is $30,000.
3. The actual cost (AC) at the end of WEEK 7 is $30,000.
4. The cost variance (CV) at the end of WEEK 7 is $0.
5. The schedule variance (SV) at the end of WEEK 7 is $0.
6. The cost performance index (CPI) at the end of WEEK 7 is 1.0 (CV/AC).
7. The schedule performance index (SPI) at the end of WEEK 7 is 1.0 (EV/PV).
8. At the end of WEEK 7, this project is performing according to the plan. The CPI and SPI are both equal to 1.0, indicating that the project is on track in terms of cost and schedule. The cost variance (CV) and schedule variance (SV) being zero further support this conclusion, as it means that the project is meeting its planned budget and schedule.

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In a joint venture, the parties typically combine their labor or property for a single undertaking and share profits and losses equally. They assume no personal liability beyond the risk of losing their initial investment.

A joint venture is a business arrangement where two or more parties come together to pursue a specific business project or goal. The nature of the joint venture and the rights and responsibilities of the parties involved can vary based on the terms outlined in the joint venture agreement.

In the context of the provided options, the correct answer is option b: "combine their labor or property for a single undertaking and share profits and losses equally." This means that the parties involved in the joint venture pool their resources, such as labor, expertise, or capital, for a specific project or venture. They share both the profits and losses resulting from the undertaking in an equal manner.

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