find the area of the region inside the circle r=−4cosθ and to the right of the vertical line

Answer:

can you put an illustration or picture for me to understand what your saying?.

Step-by-step explanation:

The lengths of the unknown sides that are marked with a variable are;

a. x = 24

   y = 10

b. x = 5

When on comparing the corresponding sides of two or more triangles, they are said to be similar if they have some common properties.

To find the lengths of the unknown sides that are marked with a variable, we have;

a. To determine the value of y,

21/ y = 15/ 21

cross multiply to have

15y = 21 * 21

     = 441

y = 441/ 15

  = 29.4

y = 24

ii. To determine the value of x,

25/ (25 + x) = 15/ 21

cross multiply

15(25 + x) = 25 * 21

375 + 15x = 525

15x = 525 - 375

      = 150

x = 150/ 15

 x = 10

b. 5/ 6 = 4.2/ x

6*4.2 = 5x

25.2 = 5x

x = 25.2/ 5

  = 5.04

x = 5.0

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Jackson's gross monthly income for 40 hours per week is approximately $3,201.70 and gross annual income s $38,480.

To find Jackson's gross monthly income, we first need to find his gross weekly income.

Jackson's hourly wage is $18.50, so his weekly gross income for 40 hours of work is:

40 hours/week x $18.50/hour = $740/week

Calculate annual income:

To determine the gross annual income, we need to consider how many weeks there are in a year. Assuming 52 weeks in a year:

Annual income = Weekly income * Number of weeks in a year

Annual income = $740 * 52 = $38,480

To find Jackson's gross monthly income, we can multiply his weekly gross income by the number of weeks in a month (approximately 4.33):

$740/week x 4.33 weeks/month ≈ $3,201.70/month

Therefore, Jackson's gross monthly income for 40 hours per week is approximately $3,201.70.

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Answer:

ok who ever ur teacher is is kinda a mean teacher because they givin u like 98th grade questions bro i dont even know this and im in college

Step-by-step explanation:

Answer:

below

Step-by-step explanation:

The point N is at (-7, -8)

The point N’ is at (4, -4)

On the x-axis, -7 to 4 is a shift of 11 units to the right.

On the y-axis, -8 to -4 is a shift of 4 units upward.

To find the scale factor, we need to find the change in radius size.

As previously identified, the center of Circle N is (-7, -8). If we draw a vertical line from the center to the edge of the circle, the line will be 2 units long.

As previously identified, the center of Circle N’ is (-4, -4). If we draw a vertical line from the center to the edge of the circle, the line will be 6 units long.

6 is 3 times the amount of 2, meaning the scale factor is 3.

Hope this helps!

Given the function  (x) = logx, as x increases, the function decreases. As x get to its vertical asymptote of x = 0, the function approaches negative infinity.

Infinity is just a concept of endlessness that may be used to depict numbers that continue on indefinitely. Negative infinity is the inverse of (positive) infinity, or simply negative numbers that continue indefinitely.

Because infinity is a notion rather than a number or a defined boundary, it cannot be passed. The concept of infinity is something that has no end. One must note that since infinity is infinite, it cannot be achieved.

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No, blinding was not demonstrated in the experiment because the volunteers knew whether they are drinking purple juice or yellow juice.

Blinding is the process of hiding a participant's group assignment from one or more other participants in a clinical research study, most frequently a randomized controlled trial (RCT).

Although the candy has the same flavour as the drink, participants can tell the difference based on colour. No, because the participants are aware of whether they are consuming yellow or purple juice.

To create a yellow or pink candy, two separate additives that don't affect flavour are added to identical sweets.

In each experiment, group allocations are concealed from data analyzers by blinding or masking. This experiment is not a blinding demonstration since the subject is aware of the juice.

As a result, adolescent volunteers are at random allocated either pink candy or yellow candy, both of whom are aware of the juice.

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I agree. From the calculation, the total amount spent is less than (<)the amount in his pocket, this means that Rashaj can buy 5 boxes of candy.

Inequalities are expressions that are not always equal to each other. The inequality signs are <, > ≤ and ≥

Given the following

Amount Rashaj has in his wallet = $37.25

Amount spent

A movie ticket = $7.25

5 boxes of candy at $3.75 per box = 5($3.75) = $18.75

Taking the sum of the total amount spent

Amount spent = $7.25 + $18.75

Amount spent = $26

Since the total amount spent is less than (<)the amount in his pocket, this means that Rashaj can buy 5 boxes of candy.

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Let x = length and y = width

You would have 2 lengths, so 2x and 3 widths, so 3y

Those need to equal total length of fence:

2x + 3y = 1200

The 3 widths would equal total fence minus the 2 lengths:

3Y = 1200-2x

Solve for y: y = 400 -2/3x

Area = length x width = xy. Replace y :

Area = x(400-2/3x) = 400x-2/3x^2

Differentiate:

400-4x/3 =0

4x/3 = 400

4x = 1200

X = 300

Y = 400-2/3(300) = 200

The dimension would be 300 ft x 200 ft

Answer:

let's divide the figure into two parts.

radius of the semicircle is 3.5m. two semi-circles make a circle and

area of circle=pi×r²

area of circle=22/7×(3.5m)2².

area of circle=38.5m²

area of rectangle=length ×width

area of rectangle =18m×7m

area of rectangle =126m²

area pf figure =38.5m²+126m²

area of figure=164.5m²

The area of the triangle is given as follows:

22.8 ft².

The area of a triangle of base b and height h is given by half the multiplication of these two dimensions, according to the equation presented as follows:

A = 0.5bh.

From the image given at the end of the answer, the dimensions of the triangle are given as follows:

Hence the area of the triangle is given as follows:

A = 0.5 x 8 x 5.7 = 22.8 ft².

The triangle from which we are going to calculate the area is given by the image presented at the end of the answer.

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Answer:

= a(7b + 1)

Step-by-step explanation:

7ab + a

a(7b + 1).

Answer:

Step-by-step explanation:

Test score = Time x 10 + 50

Hope that helps!

There will be 2,600 prize-winning opportunities in a year for all 200 members combined.

Assuming that the 200 Club follows the rules and conducts all the draws specified, there will be a total of 13 prize-winning opportunities in a year for each member.

The breakdown of the prize-winning opportunities is as follows:

Monthly draws: There are 12 monthly draws in a year, and each draw has 3 prizes - a first prize of £15, a second prize of £5, and a main prize of £20. Therefore, there are 36 prize-winning opportunities in total for the monthly draws.

Annual Grand draw: There is one annual grand draw, which has 2 prizes - a first prize of £50 and a second prize of £30.

So, for each member, there will be 13 prize-winning opportunities in a year - 12 monthly draws and 1 annual grand draw. However, it is important to note that each member can only win one prize per monthly draw, and their card remains valid for the entire year even if they have won a prize already.

Therefore, in total, there will be 2,600 prize-winning opportunities in a year for all 200 members combined (13 prize-winning opportunities per member multiplied by 200 members).

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Answer: C.

Step-by-step explanation:

0.04 is the interest rate because it is equivalent of 4%.

Answer: 0.04

Step-by-step explanation:

Answer:

\(\left(x+2\right)\cdot \left(x-2\right)\cdot \left(x-7\right)\)

Step-by-step explanation:

\(\mathrm{Find\:Least\:Common\:Multiplier\:of\:}x^2-4,\:x^2-5x-14\)

\(\mathrm{The\:LCM\:of\:}a,\:b\:\mathrm{is\:the\:smallest\:multiplier\:that\:is\:divisible\:by\:both\:}a\mathrm{\:and\:}b\)

\(x^2-4\)

\(\mathrm{Rewrite\:}4\mathrm{\:as\:}2^2\)

\(=x^2-2^2\)

\(x^2-2^2=\left(x+2\right)\left(x-2\right)\)

\(=\left(x+2\right)\left(x-2\right)\)

\(x^2-5x-14\)

\(=\left(x^2+2x\right)+\left(-7x-14\right)\)

\(=x\left(x+2\right)-7\left(x+2\right)\)

\(=\left(x+2\right)\left(x-7\right)\)

\(\mathrm{Multiply\:each\:factor\:with\:the\:highest\:power:}\)

\(\left(x+2\right)\cdot \left(x-2\right)\cdot \left(x-7\right)\)

Answer: 84 ft^2  

Step-by-step explanation:

The whole prism can be divided into  5 surfaces.

Two triangles and 3 rectangles.

 Find the area of each of the 5 shapes and add them together.

The triangle has a  base of 4 and a height of  3.

Area of triangle 1:    A= 4*3 * 1/2  

                               A = 6  

Area of triangle 2:     A = 4*3 * 1/2

                                   A = 6

Area of rectangle 1 :   A= 4*6

                                    A = 24

Area of rectangle 2;   A = 3*6  

                                     A = 18

Area of rectangle 3:    A= 5 *6  

                                      A = 30

Now add the areas together

    6 + 6 + 24 + 18 + 30 + =  84 ft^2

Answer:

84

Step-by-step explanation:

According to the given statement  the perimeter of triangle xyz  = P = (3√5 + 5) units.

The analysis of geometry involving coordinate points is known as coordinate geometry (also known as analytical geometry). Finding this same distance between two points, dividing lines in the m:n ratio, locating a line's midpoint, and calculating the area of a triangle throughout the Cartesian plane are all feasible using coordinate geometry.

The distance of ZY

Z(1,0)

Y(3,1)

Substituting the the value if formula we get:

d = √((1 - 0)² + (3 - 1)²)

dZY = √5 units

Now ,

distance between XY

X(-1 , 4)

Y(3 , 1)

d = √((1 - 4)² + (3 + 1)²)

dZY = √25 units

      = 5 units.

The perimeter of the triangle:

P = ZX + ZY + XY

adding all that value we get:

P = (2√5 + √5 + 5)

P = (3√5 + 5) units.

According to the given statement  the perimeter of triangle xyz  = P = (3√5 + 5) units.

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The samples of size n = 2 that can be drawn from this population is 28

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

Population, N = 8

Sample, n = 2

The samples of size n = 2 that can be drawn from this population is calculated as

Sample = N!/(n! * (N - n)!)

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

Sample = 8!/(2! * 6!)

Evaluate

Sample = 28

Hence, the number of samples is 28

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Complete question

A finite population consists of 8 elements.

10,10,10,10,10,12,18,40

How many samples of size n = 2 can be drawn this population?

Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

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Based on the provided information, there is not sufficient evidence to conclude that the document's claim of 56.2% female UVA undergraduates is false. The p-value for the hypothesis test is 0.7573, which is greater than the 9% significance level. Therefore, we fail to reject the null hypothesis.

To test the claim, a hypothesis test is conducted. The null hypothesis (H0) assumes that the proportion of female UVA undergraduates is indeed 56.2%, while the alternative hypothesis (H1) suggests otherwise. The test statistic, calculated based on the sample data, is 4.73655571.

The rejection region for the test statistic is determined by the significance level of 9%. In this case, the rejection region consists of values less than -1.70 and values greater than 1.70. However, the calculated test statistic of 4.73655571 does not fall within this rejection region.

The p-value, which measures the strength of evidence against the null hypothesis, is determined to be 0.7573. Since the p-value is greater than the significance level, we fail to reject the null hypothesis. This means that there is not sufficient evidence to conclude that the document's claim of 56.2% female UVA undergraduates is false.

In conclusion, based on the results of the hypothesis test, we do not reject the null hypothesis. Therefore, we cannot conclude that the document's claim is false, and there is no significant evidence to suggest that the proportion of female UVA undergraduates is different from 56.2%.

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☆ We know that angles of triangle opposite of its equal sides are also equal

Here the information that we know about the given triangle is

So the angles opposite to the equal sides will be equal .

→ So one of those equal angle is x so other will also be x .

☆ Interior angle sum property states that sum of interior angles of triangle will be 180°

→ 80° + x + x = 180°

→ 2x = 180°-80°

→ 2x = 100°

→ x = 100/2

→ x = 50° .

The value of x in the triangle is 50°.

We have,

The given triangle is an isosceles triangle.

This means,

There are two equal sides and the angles opposite to the equal sides are also equal.

Now,

The sum of the three angles in a triangle is 180.

So,

80 + x + x = 180

80 + 2x = 180

2x = 180 - 80

2x = 100

x = 100/2

x = 50°

Now,

We can cross cheked.

80 + 50 + 50

80 + 100

180

True.

Thus,

The value of x in the triangle is 50°.

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Vic would think that the amount of butter in Imani's cookies is appropriate since the ratio of flour to butter used in Imani's recipe is the same as the ratio used in Vic's favorite cookie recipe, which is 250:170 grams of flour to butter.

Specifically, in Vic's recipe, there are approximately 1.47 grams of flour for every gram of butter (250/170), while in Imani's cookies, there are approximately ratio 1.19 grams of flour for every gram of butter (750/630). This means that there is relatively more butter in Imani's cookies compared to Vic's recipe. Based on this difference, Vic might expect Imani's cookies to have a richer, denser texture and a stronger buttery flavor than his favorite recipe.

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Answer: resit the question an then angel an turn degrees a 180

* 90 degree

Step-by-step explanation:

Answer:

A. <

Step-by-step explanation:

Hope this helps! ^^

Answer:

>

Step-by-step explanation:

2/5 is greater than 7/10. Therefore, the best symbol to compare the two would be the greater than symbol, >.

Step-by-step explanation:

y + 65°= 180° (Being co-interior angle)

y = 180° - 65°

y = 115°

Next we will find of the next co-interior angle which is A and D

(2x - 10)° + (3x + 20)° = 180° ( Same reason)

Now we will keep the like ones together.

2x° + 3x° - 10° + 20° = 180°

5x° + 10° = 180°

5x = 180° - 10°

5x = 170°

x = 170°/5

x = 34°

Now we need to find (2x - 10)° and (3x + 20)°

(2x - 10)°

=(2×34-10)°

=(68-10)°

=58°

(3x + 20)°

=(3×34-20)°

=(102-10)°

=92°

Answer:

To find the length of DE, we need to use the fact that the two triangles are similar. This means that the corresponding sides of the triangles are proportional.

Let's use the following variables to represent the lengths of the sides:

BC = x

BF = y

DE = z

From the given information, we know that:

- BF = 20

- BC = 15

- Angle FBC = 56 degrees

- Angle EDC = 85 degrees

- Angle BFC = 90 degrees

Since angle BFC is a right angle, we can use trigonometry to find the length of BF:

sin(56) = BF / BC

BF = BC * sin(56)

BF = 15 * 0.829

BF = 12.435

Now we can set up a proportion using the corresponding sides of the two triangles:

BC / BF = DE / EF

Substituting the values we know:

15 / 12.435 = z / 24

Simplifying:

z = 15 * 24 / 12.435

z = 28.93

So the length of DE is approximately 28.93.

hope it helps you...

Using Chebychev's inequality the probability shows an outcome of the experiment between 13 and 31 is equal to 0.9506.

As given in the question,

Mean 'μ' = 22

Standard deviation 'σ' = 2

Apply Chebychev's inequality we have,

P ( | X - μ | ≤ kσ ) ≥ 1 - (1/k²)

Where 'k' is the constant value.

Estimation of  probability  with outcome lies between 13 and 31 using Chebychev's inequality is :

P ( 13 < X < 31 )

= P ( 13 -22 < X - μ < 31 - 22 )

= P ( -9 < X - μ < 9 )

= P ( | X - μ |≤ 9)

= P [ |X - μ | ≤ (9/2) ×2 ]

= P(  |X - μ | ≤ Kσ)

≥ 1 - ( 1/k²)

here k = 9/2

= 1 - (1 / (9/2)²)

= 1 - 4/81

= (81 -4) / 81

= 77/ 81

= 0.9506

Therefore, the probability for which outcome lies between 13 and 31 using Chebychev's inequality is equal to 0.9506.

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Answer:

Ascending: 6.0123, 6.0321, 6.321, 6.331, 60.123

Descending: 60.123, 6.331, 6.321, 6.0321, 6.0123

Answer:

problem 2

Step-by-step explanation:

The feeding time constraint for cats can be written symbolically as:

12 minutes/day * number of cats <= 8 hours/day

The feeding time constraint for dogs can be written symbolically as:

20 minutes/day * number of dogs <= 8 hours/day

The pampering time constraint for cats can be written symbolically as:

16 minutes/day * number of cats <= 8 hours/day

The pampering time constraint for dogs can be written symbolically as:

20 minutes/day * number of dogs <= 8 hours/day

The estimated coefficient for Fitness Center in a regression analysis represents the expected change in the dependent variable associated with a unit increase in the independent variable.

It tells us how much having a Fitness Center affects the rent price. To determine how much the rent price for a 1-bedroom apartment would be if the complex has a Fitness Center, Parking Space, and Wireless Internet, we would need to know the specific coefficients for each of these independent variables in the regression analysis, as well as the constant term. We could then plug in the values for each variable and calculate the predicted rent price. It is important to note that the estimated coefficient for Fitness Center does not necessarily imply causation. Other factors could be influencing both the presence of a Fitness Center and the rent price, and a regression analysis only captures the relationship between the variables that are included in the model. Additionally, the size and direction of the coefficient can vary depending on the data and methodology used in the analysis.

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