Can someone plsss help :)

a. the polar coordinate r for point P, with r > 0 and 0 < θ < 180°, is approximately 5.0874. b. the Cartesian coordinates for point P are approximately (-1.4587, 4.8793). c. The curve does not pass through the origin when 0 < θ < 2π.

a) To find the polar coordinate r for point P, we substitute the given angle θ = 161.14° into the equation r = 7 + 2cosθ.

r = 7 + 2cos(161.14°)

Using a calculator, we can evaluate the cosine function:

r = 7 + 2(-0.9563)

r = 7 - 1.9126

r ≈ 5.0874

Therefore, the polar coordinate r for point P, with r > 0 and 0 < θ < 180°, is approximately 5.0874.

b) To find the Cartesian coordinates for point P, we can convert the polar coordinates (r, θ) to Cartesian coordinates (x, y) using the formulas:

x = rcosθ

y = rsinθ

Substituting r = 5.0874 and θ = 161.14° into the formulas, we have:

x = 5.0874cos(161.14°)

y = 5.0874sin(161.14°)

Evaluating the trigonometric functions:

x = 5.0874(-0.2868)

y = 5.0874(0.958)

x ≈ -1.4587

y ≈ 4.8793

Therefore, the Cartesian coordinates for point P are approximately (-1.4587, 4.8793).

c) To determine how many times the curve passes through the origin when 0 < θ < 2π, we need to examine the values of θ for which r = 0. When r = 0, it indicates that the curve passes through the origin.

Setting r = 0 in the equation r = 7 + 2cosθ:

0 = 7 + 2cosθ

Solving for θ, we have:

2cosθ = -7

cosθ = -7/2

The cosine function has values between -1 and 1. Since -7/2 is outside this range, there are no values of θ between 0 and 2π that satisfy the equation, and thus the curve does not pass through the origin.

In conclusion, for the given curve in polar coordinates with r = 7 + 2cosθ, point P has a polar coordinate r ≈ 5.0874 with θ = 161.14°, and its Cartesian coordinates are approximately (-1.4587, 4.8793). The curve does not pass through the origin when 0 < θ < 2π.

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So the sustainable growth rate of company with return on equity of 12 % and the plowback ratio of 60 % is given by 7.2 %.

If the rate of return on equity of a company is R and the plowback ratio of that company is P then the sustainable growth rate of that company is given by,

S = (R * P) * 100%

Given that the percentage of return on equity of a company is given by = 12 %

The percentage of plowback ratio of the company is given by = 60 %

Now the sustainable growth rate of the company will be given by

= (12 %) * (60 %) * 100 %

= (12/100) * (60/100) * 100 %

= (12 * 60) / 100 %

= 720 / 100 %

= 7.2 %  

Hence the sustainable growth rate of the company is 7.2%.

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Answer:

62

Step-by-step explanation:

8+(6*9)

8+54

62

8 + 6 x 9 = 62

hope this helps

The required value of line integral is equal to 0.

To compute the given line integral, we need to find the dot product between the given vector and the differential vector "d→a" along the curve.

First, let's find the equation of the square. The square is centered at (0, 0, -3) and has a side length of 3. Since it is perpendicular to the z-axis, it lies in the xy-plane. Thus, the square can be represented by the equations:
-3 ≤ z ≤ -3
-1.5 ≤ x ≤ 1.5
-1.5 ≤ y ≤ 1.5

Now, let's parameterize the curve. We can use x and y as parameters, and set z = -3. Therefore, the curve can be represented as:
r(t) = (x, y, -3)

Next, let's find the differential vector "d→a" along the curve. Since the curve is parameterized by x and y, we have:
d→a = (dx, dy, dz) = (dx, dy, 0)

Now, let's compute the dot product:
(4i + 6k) ⋅ (dx, dy, 0) = 4dx + 6dy

To evaluate the line integral, we need to integrate this dot product over the parameter space of the curve. Since the curve is a square with side length 3, the limits of integration for both x and y are -1.5 to 1.5.

∫ s (4i + 6k) ⋅ d→a = ∫∫ (4dx + 6dy) from -1.5 to 1.5

Integrating with respect to x gives: ∫ (4x + 6y)dx from -1.5 to 1.5
= [2x^2 + 6xy] from -1.5 to 1.5
= 2(1.5)^2 + 6(1.5)y - [2(-1.5)^2 + 6(-1.5)y]
= 9 + 9y - (9 - 9y)
= 18y

Now, we integrate this expression with respect to y from -1.5 to 1.5:
∫ 18y dy from -1.5 to 1.5
= [9y^2] from -1.5 to 1.5
= 9(1.5)^2 - 9(-1.5)^2
= 20.25 - 20.25
= 0

Therefore, the  answer is 0. The line integral is equal to 0.

In conclusion, after computing the dot product between the vector (4i + 6k) and the differential vector "d→a" along the curve, and integrating over the parameter space of the curve, we find that the line integral is equal to 0.

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Answer:

Drew is incorrect

Step-by-step explanation:

Drew is incorrect

Let the number be x such that if the product of the number and four is 1.08 then

x * 4 = 1.08

Divide both sides by 4

x = 1.08/4

= 0.27

Drew is incorrect because the result (1.08) has 2 decimal places and not once as deduced by him hence the number of digits before the decimal point for the numbers being multiplied must be 2.

Answer:

the 5 represent how many pens Jo bought

Step-by-step explanation:

$10.50 = $7.50 + 5p

$10.50 is the total cost

$7.50 is the cost for just the notebooks

5 is the amount of pens Jo bought

p is the cost of each pen Jo bought

The periodic solutions of the system are:

(0, 0),

(±√2, ±√2).

These points represent periodic orbits in the phase space of the system.

To determine the periodic solutions, if any, of the system:

ẋ = yx^p(x^2y^2 - 2),

ẏ = -xy^p(x^2y^2 - 2),

we need to find values of x and y for which the derivatives ẋ and ẏ are equal to zero simultaneously. These points represent potential periodic solutions.Setting ẋ = 0 and ẏ = 0, we have:

0 = yx^p(x^2y^2 - 2),

0 = -xy^p(x^2y^2 - 2).

From the first equation, we can see that either y = 0 or x^2y^2 - 2 = 0.

If y = 0, then the second equation implies that x = 0. Therefore, (0, 0) is a solution.

If x^2y^2 - 2 = 0, then x^2y^2 = 2.

Taking the square root of both sides, we get xy = ±√2.Considering the second equation, we have -xy^p(x^2y^2 - 2) = 0.

Substituting xy = ±√2, we find that this equation holds true.

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How much time did you spend in line, question 1? is a direct response to the second question, "Do you like hot or cold?" is a vague query.

An inquiry that lacks focus on a particular subject area and is wide, ambiguous, unclear, and nebulous in nature. You won't be able to adequately analyze the data acquired at the end of the day if your survey has ambiguous questions.

You should use specific language in your survey questions, so make sure to do so. Additionally, make sure to refrain from using technical jargon and terminology that few people can normally grasp in your surveys.

Questions that are excessively general or insufficiently specified are ambiguous or vague. Generic responses that aren't pertinent to your research are frequently the outcome. Make sure your survey questions are written simply and in a way that respondents will find them simple to understand in an effort to avoid vague survey questions.

Typical Vague Questions

Do you believe our clients would advocate for us?

Are we superior to other ed-tech businesses?

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The product of (3 - √5)(7 - √5) simplifies to 26 - 10√5.

To multiply and simplify the expression (3 - √5)(7 - √5), we can use the distributive property of multiplication over addition. Here are the steps:

1. Start by multiplying the first terms in each set of parentheses: 3 * 7 = 21.

2. Then multiply the outer terms: 3 * (-√5) = -3√5.

3. Next, multiply the inner terms: -√5 * 7 = -7√5.

4. Finally, multiply the last terms: -√5 * -√5 = 5.

Now we can combine these terms to simplify the expression:

21 + (-3√5) + (-7√5) + 5

Combine the like terms: 21 + 5 - 3√5 - 7√5

Combine the constants: 21 + 5 = 26.

Combine the radical terms: -3√5 - 7√5 = -10√5.

The final simplified expression is: 26 - 10√5.

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using the sum of the first 10 terms, the approximation for the sum of the series ∑(1/(3n)) from n = 1 to infinity is approximately 18.33333.

To approximate the sum of the series ∑(1/(3n)) from n = 1 to infinity using the sum of the first 10 terms, we can calculate:

s ≈ ∑(1/(3n)) from n = 1 to 10

s ≈ 1/3(1) + 1/3(2) + 1/3(3) + ... + 1/3(10)

s ≈ (1/3)(1 + 2 + 3 + ... + 10)

To find the sum of the arithmetic series 1 + 2 + 3 + ... + 10, we can use the formula:

Sum = (n/2)(first term + last term)

Sum = (10/2)(1 + 10)

Sum = 5(11) = 55

Substituting this value back into the original equation:

s ≈ (1/3)(55)

s ≈ 55/3 ≈ 18.33333

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The general solution form for the recurrence tn = 120,-2 - 166n-3 + 2.

Given a recurrence relation tn = 120,-2 - 166n-3 + 2 we have to derive the general solution form for the recurrence sequence.

We have the recurrence relation tn = 120,-2 - 166n-3 + 2

We need to find the solution for the recurrence relation.

Associated Homogeneous Equation: First, we need to find the associated homogeneous equation.

                                     tn = -166n-3 …..(i)

The characteristic equation is given by the following:tn = arn. Where ‘a’ is a constant.

We have tn = -166n-3..... (from equation i)ar^n = -166n-3

                                Let's assume r³ = t.

Then equation i becomes ar^3 = -166(r³) - 3ar^3 + 166 = 0ar³ = 166

Hence r = ±31.10.3587Complex roots: α + iβ, α - iβ

Characteristics Polynomial:

                   So, the characteristic polynomial becomes(r - 31)(r + 31)(r - 10.3587 - 1.7503i)(r - 10.3587 + 1.7503i) = 0

The general solution of the Homogeneous equation:

Now we have to find the general solution of the homogeneous equation.

                  tn = C1(-31)n + C2(31)n + C3 (10.3587 + 1.7503i)n + C4(10.3587 - 1.7503i)

                        nWhere C1, C2, C3, C4 are constants.

Computing a Particular Solution:

                Now we have to compute the particular solution.

                                  tn = 120-2 - 166n-3 + 2

Here the constant term is (120-2) + 2 = 122.

The solution of the recurrence relation is:tn = A122Where A is the constant.

The General Solution of Non-Homogeneous Equation:

        The general solution of the non-homogeneous equation is given bytn = C1(-31)n + C2(31)n + C3 (10.3587 + 1.7503i)n + C4(10.3587 - 1.7503i)n + A122

Hence, we have derived the general solution form for the recurrence tn = 120,-2 - 166n-3 + 2.

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An arborist sights the top of a tree using a clinometer and reads the angle of elevation to be 29º, The height of the tree is 17.03 meters

Generally, To find the height of the tree, we can use the tangent function and some basic trigonometry. The tangent of an angle is the ratio of the opposite side (the height of the tree) to the adjacent side (the distance from the base of the tree to the clinometer).

tan(29) = opposite / adjacent

We know that the distance from the clinometer to the base of the tree is 28 meters, and that the clinometer is 1.5 meters above ground level.

So we can use the Pythagorean theorem to find the adjacent side:

adjacent = √(28^2 + 1.5^2)

= 28.03 meters

Now we can use the tangent function to find the opposite side:

opposite = tan(29) * adjacent

Using a calculator we can get the opposite = 15.53 meters

The height of the tree is opposite + 1.5 (the clinometer height) '

= 15.53 + 1.5

= 17.03 meters

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Answer:

I need a picture of the table, chart, graph, etc. that they give you.

Answer:

The cost for 5 songs is $5.35

Step-by-step explanation:

Find the unit rate for 1 song by dividing the total cost for 3 songs by 3

$3.21 ÷ 3 = $1.07

The unit rate is $1.07 per song, so multiply that by 5 to find the total cost for 5 songs

$1.07 * 5 = $5.35

The original recipe had 0.9 cups of bananas.

Using only fresh ingredients, strawberry banana smoothie is a simple, nutritious dish. It is creamy, sweet, nutritious, and dairy- or dairy-free can be used to make it. The ideal summertime smoothie. Putting the strawberries, frozen banana, milk, and yoghurt in a blender and mixing until smooth and creamy is all that is required to make it.

Cups of strawberries = 1.75

No. of cups added of banana = 1/2

                                            = 0.5

No. of cups of banana smoothie have = 14.

The original recipe had = 1.4 - 0.5

                                   = 0.9

Hence, the original recipe had 0.9 cups of bananas.

Correct Question :

to make a strawberry banana smoothie, a recipe calls for 1.75 cups of strawberries and some bananas. to make the recipe taste more like banana, 1/2 cup more banana was added to the blender. the smoothie now has 1.4 cups of bananas. how many cups of bananas were in the original recipe?

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If the builder does not build houses with three-car or more garages, then the probability that the buyer will select no garage home is 0.1.

Probability is a measure of likelihood that a certain event occurs. The probability of an event A is defined as:

P(A) = n(A)/n(S)

Where:

n(A) = number of ways the event A can occur

n(S) = number of all possible outcomes.

Suppose there are 3 possible outcomes, A, B, C, then:

P(S) = P(A) + P(B) + P(C) = 1

In the problem, let's define the events:

A = buyer will select a one-car garage

B = buyer will select a two-car garage

C = buyer will select no car garage

We have:

P(A) = 0.2

P(B) = 0.7

Hence,

P(A) + P(B) + P(C) = 1

0.2 + 0.7 + P(C) = 1

P(C)  = 1 - 0.9 = 0.1

Therefore, the probability that the customer will choose no garage option is 0.1

Your question is incomplete, most likely it was:

In building new homes, a contractor finds that the probability of a home buyer selecting a two-car garage is 0.7 and of selecting a one-car garage is 0.2. Find the probability that the buyer will select no garage. the builder does not build houses with three-car or more garages

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A table or spreadsheet used to systematically evaluate options according to specific criteria is a decision matrix.

A decision matrix is a table or spreadsheet used to systematically evaluate options based on specific criteria. It is a tool commonly used in decision-making processes to objectively assess and compare different choices.

The decision matrix organizes the criteria in rows and the options in columns. Each cell in the matrix represents the evaluation or score of an option based on a particular criterion. The criteria can be weighted to reflect their relative importance in the decision-making process.

By filling out the decision matrix with scores or ratings for each option and criterion, a comprehensive evaluation can be performed. The matrix allows decision-makers to visualize and compare the performance of different options against the criteria, helping them make more informed and structured decisions.

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The ratio of the wavelengths of the two notes is 2:1 option fourth 2 to 1 is correct.

The wavelength is the distance between two successive troughs or crests. The highest point on the wave is the crest, while the lowest point is the trough.

We have two notes

Number of cycle for blue = 8

Number of cycle for red = 4

Ratio = 8:4 = 2:1

Or

2 to 1

Thus, the ratio of the wavelengths of the two notes is 2:1 option fourth 2 to 1 is correct.

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The change in fuel and distance can be analyzed through the slope of the line in the table, which indicates the rate of fuel consumption per mile. A slope of 0.4 suggests that 0.4 gallons of fuel are being consumed for every mile traveled.

The change in fuel remaining from one row to the next in the table represents the difference in the amount of fuel used between those rows. This change is measured in gallons. For example, if the fuel remaining in one row is 10 gallons and in the next row it is 8 gallons, the change in fuel remaining would be 2 gallons.

Similarly, the change in distance from one row to the next in the table represents the difference in the distance traveled between those rows. This change is measured in miles. For instance, if the distance traveled in one row is 50 miles and in the next row it is 45 miles, the change in distance would be 5 miles.

The slope of the line that runs through the points given in the table represents the rate of change between the fuel remaining and the distance traveled. It is calculated by dividing the change in fuel by the change in distance. For example, if the change in fuel is 2 gallons and the change in distance is 5 miles, the slope would be 2/5 or 0.4.

The slope indicates the rate at which fuel is being consumed per mile. In this case, a slope of 0.4 means that for every mile traveled, 0.4 gallons of fuel are being used. This implies that the vehicle's fuel efficiency is 0.4 gallons per mile.

In conclusion, the change in fuel and distance can be analyzed through the slope of the line in the table, which indicates the rate of fuel consumption per mile. A slope of 0.4 suggests that 0.4 gallons of fuel are being consumed for every mile traveled.

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Answer:

C

Step-by-step explanation:

x²-10x+(-10×0.5)²=4+(-10×0.5)²

x²-10x+25=29

A formula for the sequence 2.3, 2.8, 3.3, 3.8, ... is a_n = 1.8 + 0.5 n.

First, let us understand the arithmetic progression:

Arithmetic Progression (AP) is a number sequence in which the difference between any two consecutive numbers is a constant value.

We can find the common difference (d) by subtracting any two consecutive terms of arithmetic progression.

The nth term of an arithmetic progression is given by:

a_n = a + (n - 1)d

where

a = first term of an arithmetic progression

n = nth term of an arithmetic progression

d = common difference

We are given the following sequence;

2.3, 2.8, 3.3, 3.8, ...

We need to write a formula for the given sequence.

Let us find the common difference;

d = 2.8 - 2.3 = 0.5

a = 2.3

substitute the values in the above formula;

a_n = 2.3 + (n - 1) * 0.5

a_n = 2.3 + 0.5 n - 0.5

a_n = 1.8 + 0.5 n

So, the formula for the given sequence is a_n = 1.8 + 0.5 n.

Thus, a formula for the sequence 2.3, 2.8, 3.3, 3.8, ... is a_n = 1.8 + 0.5 n.

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The statement "Because in a randomized controlled trial (RCT), the assignment is random, therefore there is no coverage bias---by definition" g is false because, it is important to consider both randomization and other factors when assessing the potential for bias in an RCT.

Random assignment in an RCT can help to reduce selection bias, but it does not guarantee the absence of coverage bias.

Coverage bias can occur if the participants who are enrolled in the trial do not represent the population to which the results will be generalized.

For example, if the trial only includes participants who are healthier or more compliant than the typical patient, the results may not be applicable to the broader population.

Therefore, it is important to consider both randomization and other factors when assessing the potential for bias in an RCT.

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Answer:

you have to create an account which should be pretty easy to find and just use your personal email!

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation

You are signed in right now????

To determine the approximate rolling distance for a child on a bike weighing 110 lbs, we would need the regression line equation derived from a statistical analysis.

The regression line represents the relationship between the weight of the bike and the rolling distance. With the regression line equation, we can substitute the weight of 110 lbs into the equation to estimate the corresponding rolling distance. The regression analysis would have been performed using a dataset with various bike weights and their corresponding rolling distances. By analyzing the data, the regression line provides an approximation for predicting the rolling distance based on the weight of the bike.

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The conditional probability is 3/8

From the question, we have

total number in bit string =16

let s be the set of all bit strings

number of strings =8

probability of selecting A

P(A)=8/16=1/2

P(A∩B)=3/16

the conditional probability is,

P(A∩B)/P(A)=3/16/1/2

=3/8

Probability:

Possibility is referred to as probability. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability has been applied into mathematics to predict the likelihood of different events. Probability generally refers to the degree to which something is likely to occur. This fundamental theory of probability, which also applies to the probability distribution, can help you comprehend the possible outcomes for a random experiment. Gonna determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only anticipate the possibility of an event occurring using it, or how likely it is.

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Answer:

p=2.5

Step-by-step explanation:

H:S:L

x:3x:3x-4

x+3x+3x-4=52

7x-4=52

7x=56

x=8

H:S:L

8:24:20

H:L

8:20

1:2.5

so p=2.5

Natural number multiplication is commutative.

The given number is commutative as -

7.4.1.5 = 5.1.4.7

The answer will always be same irrespective of the order in which it is multiplied

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