find the area of the region enclosed by one loop of the curve: r = 2sin5theta

Answer:

hi I'm pretty sure its C) 2x + 48 = 180

sorry if I'm wrong

Answer: 66

Step-by-step explanation:

0 - 12 = -12

54--12 = 66

66 is the difference

Answer:

f(x) has the greater initial value.

linear;  h(x) = 200x + 1500

Step-by-step explanation:

f(0) = 1000

g(0) = 750

Therefore, f(x) has the greater initial value.

In the third area, the model is linear and the function would be:

h(x) = 200x + 1500

Answer:

\(n=-\frac{20}{3}\quad \mathrm{or}\quad \:n=\frac{20}{3}\)

Step-by-step explanation:

\(2\left|-3n\right|+10=50\\\\\mathrm{Subtract\:}10\mathrm{\:from\:both\:sides}\\\\2\left|-3n\right|+10-10=50-10\\\\Simplify\\\\2\left|-3n\right|=40\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\\\frac{2\left|-3n\right|}{2}=\frac{40}{2}\\\\Simplify\\\\\left|-3n\right|=20\\\\\mathrm{Apply\:absolute\:rule}:\\\quad \mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\\)

\(-3n=-20\quad \mathrm{or}\quad \:-3n=20\\\\-3n=-20\quad :\quad n=\frac{20}{3}\\\\-3n=20\quad :\quad n=-\frac{20}{3}\\\\n=-\frac{20}{3}\quad \mathrm{or}\quad \:n=\frac{20}{3}\)

The number of trees more than 10m tall but not more than 20m tall is 18 trees.

0 < h ≤ 5 = 5

height greater than 0m less than or equal to 5m

5 < h ≤ 10 = 9

height greater than 5m less than or equal to 10m

10 < h ≤ 15 = 13

height greater than 10m less than or equal to 15m

15 < h ≤ 20 = 5

height greater than 15m less than or equal to 20m

20 < h ≤ 25 = 1

height greater than 20m less than or equal to 25m

The number of trees that are more than 10m tall but not more than 20m tall are;

10 < h ≤ 15 = 13

15 < h ≤ 20 = 5

So,

13 + 5 = 18 trees

Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.

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The Tonga Trench is deeper than the Puerto Rico Trench.

Generally, Other major tectonic features in the region include the Mariana Trench, the Mariana Arc, the Volcano Arc, the Caroline Islands Arc, and the Palau Microplate.

The region is earthquake-prone and has experienced several large earthquakes in recent years, including a 7.7 magnitude quake in the Mariana Trench in 2020 and a 7.6 magnitude quake in the Solomon Islands in 2013. The region is also home to several active volcanoes, including the Kavachi volcano in the Solomon Islands and the Taal volcano in the Philippines.

The region is home to a wide variety of marine life, including whales, dolphins, sharks, sea turtles, and a variety of fish. The region is also home to some of the world's most spectacular coral reefs, including the Great Barrier Reef in Australia and the Tubbataha Reefs in the Philippines.

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The correct answer is f. 2 ∫ x² dx +6 ∫xdx-6∫ dx. This can be answered by the concept of indefinite integral.

Using the linearity property of the indefinite integral, we can express the given integral as the sum of the integrals of each term:

∫ (-2x² + 6x – 6) dx = -2 ∫ x² dx + 6 ∫ x dx - 6 ∫ 1 dx

Using the power rule of integration, we have:

∫ x² dx = (1/3) x³ + C1

∫ x dx = (1/2) x² + C2

∫ 1 dx = x + C3

Substituting these into the expression above, we get:

∫ (-2x² + 6x – 6) dx = -2 [(1/3) x³ + C1] + 6 [(1/2) x² + C2] - 6 [x + C3]

Simplifying, we get:

∫ (-2x² + 6x – 6) dx = (-2/3) x³ + 3x² - 6x + C

where C = -2C1 + 6C2 - 6C3

Therefore, the correct answer is f. 2 ∫ x² dx +6 ∫xdx-6∫ dx.

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Answer:

Nolan's time is 100 seconds.

Step-by-step explanation:

Kong took 85 seconds.

Nolan took x seconds.

Kong took 15% fewer seconds than Nolan, so Kong's time is 85% of Nolan's time.

Kong's time is

85% of x or 0.85x

Kong's time is 85 seconds

0.85x = 85

x = 85/0.85

x = 100

Nolan's time is 100 seconds.

Answer:

its false

Step-by-step explanation:

Answer:

20/24

Step-by-step explanation:

If you simplify, you get 5/6.

The slope between points (17,8) and (17,24) is (B) undefined.

We know that the slope of a line passing through two points (a,b) and (c,d) is given by,

m = (d-b)/(c-a)

So here given points are (17,8) and (17,24)

Then, a=17, b=8, c=17, d=24

Now the slope between these two points is given by,

m = (24-8)/(17-17) = 16/0

So the slope value does not exist or infinity.

Hence the slope between the points (17,8) and (17,24) is Infinity or undefined.

Thus, the correct option is (B).

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Answer:

Rational numbers are one very common type of number that we usually study after integers in math. These numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. Most often people find it confusing to differentiate between fractions and rational numbers because of the basic structure of numbers, that is p/q form. Fractions are made up of whole numbers while rational numbers are made up of integers as their numerator and denominator. Let's learn more about rational numbers in this lesson.

Answer:

apples: 2, 4, 6, 8

oranges: 5, 10, 15, 20

Step-by-step explanation:

what it looks like to me is that they are first counting by 2's, then 5's. hope this helps somehow

Step-by-step explanation:

First, you want to find the change in the top collum, and then the bottom collum.

The top collum seems to go up by 2, so it would be 2,4,6,8

The bottom collum seems to go up by 5 so it would be 5,10,15,20

And boom! there's ur answer!

Answer:

what is the lesson? need more details

The perimeter of triangle ∆XYZ must measure 135 units, while its area amounts to 600 square units.

Since ∆ABC possesses side lengths of 10 units, 20 units, and 24 units, and ∆XYZ is similar to ∆ABC but with the length of its longest side being 60 units, we can apply the principle of similarity to determine the perimeter and area of ∆XYZ.

The perimeter of ∆XYZ:

To find the scale factor between two similar triangles, you can take the ratio of the corresponding sides. In this case, the longest side of ∆ABC is 24 units, and the longest side of ∆XYZ is 60 units.

Scale factor = (Longest side of ∆XYZ) / (Longest side of ∆ABC)

Scale factor = 60 / 24

Scale factor = 2.5

Now, we can determine the other two sides of ∆XYZ using the same scale factor:

The shortest side of the ∆XYZ = (Scale Factor * Shortest side of ∆ABC)

The shortest side of the ∆XYZ = ((5/2) * 10 units)
                                            = 25 units

Middle side of ∆XYZ = Scale Factor * Middle side of ∆ABC

Middle side of ∆XYZ = (5/2) * 20 units
                                     = 50 units

Now, calculate the perimeter of ∆XYZ:

The perimeter of ∆XYZ = Sum of all three sides

Perimeter of ∆XYZ = 60 units + 25 units + 50 units
                               = 135 units

Therefore, the perimeter of ∆XYZ is 135 units.

Area of ∆XYZ:

Because ∆XYZ and ∆ABC are similar, their corresponding side ratios are equal to the scale factor, which is 5/2.

Now,

Given the triangle ∆XYZ, it is established that the ratio of their areas is equivalent to the square of the scale factor when determining the area.

Area of ∆XYZ / Area of ∆ABC = (Scale Factor)²

Area of ∆XYZ / Area of ∆ABC = (5/2)²

Area of ∆XYZ / Area of ∆ABC = 25/4

Since we're given the height of ∆ABC with respect to its longest side, we can find the area of ∆ABC:

Area of ∆ABC = (1/2) * Base * Height

Area of ∆ABC = (1/2) * 24 units * 8 units
                       = 96 square units

Now, calculate the area of ∆XYZ:

Area of ∆XYZ = (Area of ∆ABC) * (Area ratio)

Area of ∆XYZ = 96 square units * 25/4

Area of ∆XYZ = 600 square units

Therefore, the area of ∆XYZ is 600 square units.

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The east of the base is 6.3 km far from B.

The bearing of B, as measured from the base is 73°.

The base is 73° south vest of the B.

What is sin?

Sin is a periodic function with a period of 2π, and the domain of the function is (−∞, ∞) and the range is [−1,1]. Sin formula is used to find sides of a triangle.

Given, the distance between soldier and base is 3 km. and the bearing is 50°.

He then walked a further 4 km due east to point B.

1) the east of the base to point B = 3 sin 50° +4

= 6.3 km

2) The bearing of B is solved as

3(cos 50°) = 1.9km

then, bearing is 6.3/1.9

= 73°

3) the base is 73° south vest of the B

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Answer: 7/26

Step-by-step explanation:

7 red and 7 blue = 14 total

7/14 or 1/2 chance of getting red first

7/13 chance of getting red the second time

7/13*1/2 = 7/26

7/26 chance

sorry if it’s wrong but I hope it helps

On solving the provided proportionality question we got that, U = 7.72, is rounded off nearest to tenth digit.

We must determine the ratio of the two quantities for each value supplied in order to determine if two quantities are proportionate. The proportionate link between them is evident if their proportions are equal. Their connection is not proportionate if all the ratios are out of balance.

When two quantities or variables are linearly related in mathematics, the term "proportional" is used. Both quantities increase by two times when one increases by two. Each variable decreases in proportion to the other when it falls to 1/100th of its previous value.

Here,

\(\frac{U}{5} = \frac{17}{11} \\\\\)

\(U = \frac{17}{11} X 5\\\)

\(U = \frac{85}{11}\\ U = 7.72\)

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Answer:

64\(\pi\)

Step-by-step explanation:

A=\(\pi r^{2}\)

Divide 16 by two to get the diameter: 8

Square 8: 64

Since the answer is in terms of pi, the answer is 64\(\pi\)

Answer:

64 π

Step-by-step explanation:

Diameter = 16 inches

Radius = 16/2 = 8 inches

Area of circle = πr²

                      =  π(8)²

                      = 64 π sq inches

ANSWER

Option A

EXPLANATION

We want to find the polygon that matches to given ordered pairs.

To do this, we have check for the coordinates of the vertices of each polygon to cross-check with the given vertices if they match.

Doing this, we see that the polygon with that matches the set of ordered pairs is Option A.

Answer:

it is pretty much option A

Step-by-step explanation:

The given differential equation is not exact. To check if the differential equation is exact, we need to take partial derivatives of each term with respect to x and y and check if they are equal.

Since the partial derivatives are not equal, the differential equation is not exact.

To solve this equation, we need to use an integrating factor, a function that multiplies the entire equation to make it exact. The integrating factor for this equation is e^x:

Multiplying both sides of the equation by e^x, we get:

Now, if we take partial derivatives of each term with respect to x and y, we find that they are equal:

Since the partial derivatives are equal, the differential equation is now exact.

To solve the equation, we can integrate each term with respect to its corresponding variable. The solution is given by:

where C is the constant of integration.

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Answer:

1st one - not similar diff ratio

2nd- similar

3rd- not similar diff shape

4- not similar diff ratio

5- similar

6- not so sure but i would go w either not similar diff shape or similar

Step-by-step explanation:

Answer:

The domain would include all the real values except \(x = 2\) and the x for which \(v(x) = 0\).

Hence, the restrictions would be:

and

Step-by-step explanation:

Given

The domain of u(x) is the set of all real values except 0.

so

domain = (-∞, 0) U (0, ∞)

The domain of v(x) is the set of all real values except 2.

so

domain = (-∞, 2) U (2, ∞)

For the function composed function (u circle v) (x), we need to apply first the function \(v(x)\)  whose argument is (x), and then the function \(u (v(x) )\) whose argument is \(v(x)\).

Please note that the domain of the composed function (u circle v) (x) must have to take into account the values for which both functions u(x) and v(x) are defined.

Therefore, the domain would include all the real values except \(x = 2\) and the x for which \(v(x) = 0\).

Hence, the restrictions would be:

and

Answer:

c

Step-by-step explanation:

edge 2020

Let's redraw the traingle

if the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other. ∆CBD ~ ∆ABC, ∆ACD ~ ∆ABC, and ∆CBD ~ ∆ACD.

This means that

Replacing

False. An intrinsic reward is enjoying what one does for its own sake, while an extrinsic reward is an inducement such as money, grades, or recognition.

Intrinsic and extrinsic rewards are two different types of motivational factors that can influence behavior.

Intrinsic rewards are those that come from within oneself, such as the enjoyment of doing a task or the sense of accomplishment that comes from completing it. These rewards are inherently satisfying and enjoyable, and they motivate people to continue doing the task or activity because of the pleasure they derive from it. For example, a person may engage in a hobby like playing music, painting, or playing a sport simply because they find it enjoyable and rewarding in itself.

On the other hand, extrinsic rewards are external motivators that are used to induce or encourage behavior. These rewards are typically tangible, such as money, grades, or recognition, and are given as a result of completing a task or activity. They are designed to incentivize individuals to perform specific actions, often with the aim of achieving a specific goal or outcome. For example, a person may work hard at their job in order to earn a promotion or raise, or may study hard in school to earn good grades.

Intrinsic and extrinsic rewards can both be effective motivators, but they operate in different ways. Intrinsic rewards are powerful because they come from within the individual and are based on personal enjoyment and satisfaction. Extrinsic rewards, on the other hand, are often seen as less powerful and may only work in the short term, because they are not inherently satisfying and may not motivate people to continue performing the task or activity once the reward is removed. However, when used effectively, extrinsic rewards can be a useful tool for motivating people and achieving specific outcomes.

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Answer:

0,204

Step-by-step explanation:

The probability of exactly two dice having a face value of 6 when rolling three fair six-sided dice is 5/72.

To find the probability of exactly two dice having a face value of 6 when three fair six-sided dice are rolled, we can use the concept of combinations.

The total number of possible outcomes when rolling three dice is 6^3 = 216, as each die has 6 possible outcomes.

Now, let's determine the number of favorable outcomes where exactly two dice have a face value of 6.

We have three scenarios where exactly two dice show a 6:

The first die shows a 6, the second die shows a 6, and the third die does not show a 6.

The first die does not show a 6, the second die shows a 6, and the third die shows a 6.

The first die shows a 6, the second die does not show a 6, and the third die shows a 6.

In each scenario, the probability of rolling a 6 on one die is 1/6, and the probability of not rolling a 6 is 5/6.

Scenario 1:

Probability = (1/6) * (1/6) * (5/6) = 5/216

Scenario 2:

Probability = (5/6) * (1/6) * (1/6) = 5/216

Scenario 3:

Probability = (1/6) * (5/6) * (1/6) = 5/216

Adding up the probabilities from each scenario:

Total Probability = (5/216) + (5/216) + (5/216) = 15/216 = 5/72

Therefore, the probability of exactly two dice having a face value of 6 when rolling three fair six-sided dice is 5/72.

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Subtract 3 from each side

In the equation:

\(w + 3 = - 4\)

Subtracting 3 from both sides of the equation. We have:

\(w + 3 - 3 = - 4 - 3 \\ w + 0 = - 7\)

Therefore: \(w = - 7\)

The simplest way to do this is by moving 3 to the other side of the equation, where it then changes to -3 due to the equality sign (=). this is what I mean:

\(w + 3 = - 4 \\ w = -4 - 3 \\ w = - 7\)