What's More State whether each of the following sets is well-defined or not. Write your answer in the space provided before the number. 1. The set of young politicians. 2. The set of types of matter. 3. The set of versatile actress. 4. The set of all oceans of the earth. 5. The set of months containing 31 days. 6. The set of tasty food. 7. The set of planets in our solar system. 8. The set of durable bags. 9. The set of consonants in the English Alphabet 10. The set of even counting numbers.​

Answer:

B. s + p > 5, $21.49s + $36.99p < $350

Step-by-step explanation:

Let us represent

Sweater = s

Pants = p

For her birthday, Samantha received a gift card, with a value of $350, to a department store.

She wants to purchase at least 5 articles of clothing for work.

At least means , More than 5 articles of clothing

Hence:

s + p > 5

At the store, sweaters cost $21.49 each and dress pants cost $36.99 each. If Samantha does not spend more than the amount on the gift card

She does not spend more than $350

This means , she spends less than $350

Hence:

$21.49s + $36.99p < $350

Option B is the correct answer

B. s + p > 5, $21.49s + $36.99p < $350

Answer:

42

Step-by-step explanation:

2 + 3(5) + 5(5)

2 + 15 + 25

Which equals..

42

Answer:

42

Step-by-step explanation:

IF b=5

Now,

2+3b+5b

=. 2 + 3*5 + 5*5

=. 2 + 15 + 25

=. 42

The location of point b on the number line is 8.25.

To find the location of point b on the number line, we need to determine the value that satisfies the ratio of ab:bc being 3:1.

Let's assume that the location of point b is represented by the variable x.

Given that the ratio of ab:bc is 3:1, we can set up the following equation:

ab/bc = 3/1

To find the length of ab and bc, we subtract the respective coordinates:

ab = x - 6

bc = 9 - x

Now we can substitute these values into the equation:

(x - 6)/(9 - x) = 3/1

To solve this equation, we can cross-multiply:

1 * (x - 6) = 3 * (9 - x)

Simplifying the equation:

x - 6 = 27 - 3x

Combine like terms:

4x = 33

Divide both sides by 4:

x = 33/4 = 8.25

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Answer:

11

Step-by-step explanation:

Answer:

7.

Step-by-step explanation:

Follow the order of operations.

We do the operation in the bracket first. So we are left with:

2 * (2) + 3

We multiply before we add, so:

4 + 3.

Finally, we add.

7.

I hope this helps!

Step-by-step explanation:

5 - 7x = -44

5 + 44 = 7x

49 = 7x

7x = 49

x = 49/7

x = 7

They have a $30 advertising budget. A front-page ad is more effective than an ad inside the paper. They want to advertise at least 20 times. The best strategy is to use as many front-page ads as possible. They can place 15 front-page ads and five inside page ads within their budget.

Math Club members have a $30 advertising budget, and they want to advertise their fundraiser each week in the school paper. They know that a front-page ad is more effective than an ad inside the paper. It cost $2 for each front-page ad and $1 for each inside page ad. The club wants to advertise at least 20 times.

The club can decide to use inside page ads for the remaining five ads. The cost for each inside page ad is $1. Therefore, they can purchase five inside page ads for a total cost of $5. The remaining $5 in their budget will not be used.To summarize, the Math Club members will advertise their fundraiser each week in the school paper.

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Answer:

x = 117 degrees

Step-by-step explanation:

Find the diagram attached

From the diagram, the angle at the top left on line t is equal to theta of the top left on line u and is equal to 117 degrees (corresponding angle)

Also the angle angle on the top left on line u will be equal to x (vertically opposite angle)

Hence the value of x = 117 degrees (vertically opposite to each other on line u)

The divergence of the vector field F is positive for y > -1/3 and negative for y <  -1/3.

To plot the vector field F(x, y) = (xy, x + y^2), we can first visualize the vectors at various points in the xy-plane. Let's choose a range of values for x and y and calculate the corresponding vectors. We'll use a step size of 1 for simplicity.

Here is a sample grid of points and their corresponding vectors:

(x, y) = (-2, -2) -> F(-2, -2) = (4, 2)

(x, y) = (-1, -2) -> F(-1, -2) = (2, 2)

(x, y) = (0, -2) -> F(0, -2) = (0, 2)

(x, y) = (1, -2) -> F(1, -2) = (0, 2)

(x, y) = (2, -2) -> F(2, -2) = (4, 2)

(x, y) = (-2, -1) -> F(-2, -1) = (2, 1)

(x, y) = (-1, -1) -> F(-1, -1) = (1, 1)

(x, y) = (0, -1) -> F(0, -1) = (0, 1)

(x, y) = (1, -1) -> F(1, -1) = (0, 1)

(x, y) = (2, -1) -> F(2, -1) = (2, 1)

... and so on for other values of y and for positive values of y.

To calculate the divergence (divF) of the vector field, we need to find the partial derivatives of the components of F with respect to x and y. Then we sum these partial derivatives.

F(x, y) = (xy, x + y^2)

∂F/∂x = y

∂F/∂y = 1 + 2y

divF = ∂F/∂x + ∂F/∂y = y + (1 + 2y) = 3y + 1

Now, we can analyze where the divergence is positive (divF > 0) and where it is negative (divF < 0).

For divF > 0:

If y > -1/3, then divF > 0.

For divF < 0:

If y < -1/3, then divF < 0.

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Answer:

There is a price and it rises by 30%the price sit now 130%of the original

Step-by-step explanation:

There is a price and it rises by 30%the price sit now 130%of the original

An example for a percentage that is greater than 100% is

Salary raised by 20% that is 120% of the original.

Given :

a percentage is greater than 100%

The salary of a person will be increasing every year.

Suppose the salary is increased by 20% this year.

Then the salary is 120% of the previous year.

For example , salary of previous year is $200

Its is increased by 20% that is 120% of the previous year.

\(12 \;percent \; of \; 200 =\frac{120}{100} \cdot 200=240\)

So , the salary is now 120% of original salary in previous year

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\(\large\text{Hey there!}\)

\(\large\boxed{\mathsf{10+ 16 - (8 \div 2)}}\)

\(\large\boxed{\mathsf{10 + 16 = \bf 26}}\)

\(\large\boxed{\mathsf{\rightarrow \bold{26} - (8 \div 2)}}\)

\(\large\boxed{\mathsf{{ 8 \div 2 = \bf 4}}}\)

\(\large\boxed{\rightarrow{\mathsf{26 - \bf 4}}}\)

\(\large\boxed{\mathsf{\rightarrow \bf 22 }}\)

\(\huge\boxed{\textsf{Therefore, your answer is: 22}}\)

\(\large\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Given:

To draw the graph:

Let us find the slope as the ratio.

Comparing the given equation with y=mx+c

So, the slope m=4.

In ratio,

Let us take two points, (0,0) and (1,4).

So, the graph is,

Recovered memory in CSA refers to the new development of abusive memories. Repressed memory is when the patient believes the CSA occurred, even though they have no specific memory of the event.

Recovered memory:

The term "recovered memory" implies that at some point the memory must become inaccessible to conscious awareness (as opposed to "continuous memory"). Although the term is not ideal, it is clear that people often fail to report important events, such as known hospitalizations (Loftus, 1993). In 1995, the debate over reclaiming memory was near its most violent climax. Hundreds of people have recovered memories of child sexual abuse (CSA), and sometimes in therapy it is thought that repressed or dissociative memories need to be recovered for a person to 'heal'.

Repressed Memory:

Repressed memory is a purported psychiatric phenomenon involving the inability to recall autobiographical information, usually traumatic or stressful. The concept has its origins in psychoanalytic theory, where repression is understood as a defense mechanism that keeps painful experiences and unacceptable impulses out of awareness. Repressed memory is a controversial concept, especially in a legal context, where it is used to unjustly and inaccurately accuse individuals, causing significant harm. Meanwhile, a working group from the American Psychological Association has stated that while "most people who were sexually abused in childhood remember some or all of what happened to them, it is possible to remember long-forgotten abuses.

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Answer:

you have 41 quarters

Step-by-step explanation:

.....

Answer:

20%

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

0.206896552 rounded to the nearest tenth is 0.2 (The 0 in the hundredths place rounds down)

To find 0.2 as a percentage simply multiply it by 100

0.2*100=20%

Given:

The center of the circle is the origin and the radius is 5.

Required:

Find the equation of the circle.

Explanation:

The equation of the circle when the center is (a,b) and the radius is r is given as:

The center (a,b) = (0,0)

radius r = 5

So the equation of the circle is:

Final Answer:

Option C is the correct answer.

A system of equations that could be used to determine the number of dimes and the number of quarters are:

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

A system of equations can be defined an algebraic equation that only has two (2) variables and can be solved simultaneously.

In order to solve this word problem, we would assign variables to the unknown numbers and then translate the word problem into algebraic equation as follows:

Note: 1 quarter is equal to 0.25 dollar and 1 dime is equal to 0.1 dollar.

q = 2d                                ......equation 1.

0.25q + 0.1d = 4.20         .......equation 2.

Multiplying eqn. 2 by 100, we have:

25q + 10d = 420               .......equation 3.

Substituting eqn. 1 into eqn. 3, we have:

25(2d) + 10d = 420

50d + 10d = 420

60d = 420

d = 420/60

d = 7 dime.

For the number of quarters, we have:

q = 2d

q = 2(7)

q = 14 quarter.

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Complete Question:

Sophie has $4.20 worth of dimes and quarters. She has twice as many quarters as dimes. Write a system of equations that could be used to determine the number of dimes and the number of quarters that Sophie has. Define the variables that you use to write the system.

Answer:

7:55

Step-by-step explanation:

If the class is 30 minutes it would end at 7:15 then add 40 minutes to get 7:55.

The equation of the circle centered at the origin and passing through the point (-4,0) is \(x^2+y^2=16\).

Equation of a circle

A circle may also be defined as a special kind of ellipse in which the two foci are coincident, the eccentricity is 0, and the semi-major and semi-minor axes are equal.

We know that,

Equation of the circle passing through the origin is given by:-

\(x^2+y^2=r^2\)

Where,

r is the radius of the circle, and

(x,y) are the coordinates of each point of the circle.

Hence, we can write,

The radius of the circle will be :-

\(\sqrt{(0-(-4))^2+(0-0)^2} =\sqrt{ 4^2+0^2} =\sqrt{16}=4 units\)

Hence, r = 4 units.

Hence, the equation of the circle is given by:-

\(x^2+y^2=16\)

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Answer:

The farm settlement scheme has i.a. the following objectives: 1. to bring about rural progress, 2. to demonstrate that by careful planning, farms can be established and operated by young, educated farmers which will provide a comfortable standard of living for the owners

Answer:

0.45 or 45% or 9/20

Step-by-step explanation:

Altogether you have 20 cookies, and you have 9 chocolate chip cookies.

The statement "The basic calculation for obtaining a response bias is not to divide the number of legitimately completed questionnaires returned by the total number of sample members provided a chance to participate." is False

Instead, the basic calculation for obtaining a response bias is to subtract the response rate from 100%. The response rate is calculated by dividing the number of legitimately completed questionnaires returned by the total number of sample members provided a chance to participate.

So, the formula for calculating response bias is:
Response bias = 100% - (number of legitimately completed questionnaires returned / total number of sample members provided a chance to participate)

In other words, response bias is the percentage of sample members who did not participate or did not complete the questionnaire legitimately. It is important to calculate response bias in order to understand how representative the sample is of the population.

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The result of the mathematical expression given as follows: (1/2 + 3/2)² + (2/3 x 1/2)³ is 5.59 or 5⅔.

According to this question, the following expression is given to solve: (1/2 + 3/2)² + (2/3 x 1/2)³

First, we solve the both parts as follows:

Next, we solve the exponential function as follows:

= (2)² + (1.16)³

= 4 + 1.59

= 5.59 or 5⅔

Therefore, the result of the mathematical expression given as follows: (1/2 + 3/2)² + (2/3 x 1/2)³ is 5.59 or 5⅔.

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When dealing with the simultaneous occurrence of two events A and B, the probability can be determined by using the probability of one event and the conditional probability of the other event given that the first event has occurred. Both P(A) * P(B|A) and P(B) * P(A|B) are valid ways to calculate this probability.

The concept of probability is fundamental in various fields such as mathematics, statistics, and even in everyday life. The probability of the simultaneous occurrence of two events A and B is a critical concept in probability theory. According to the definition, the probability of A and B occurring at the same time is equal to the probability of A multiplied by the conditional probability of B given that A has occurred. This equation is also valid in the reverse case, where the probability of B and A occurring simultaneously is equal to the probability of B multiplied by the conditional probability of A given that B has occurred.

Understanding the relationship between the probability of two events and their conditional probabilities is essential in predicting the likelihood of these events happening together. In real-life situations, this concept can be used to determine the probability of two events such as the success of a product launch and the corresponding increase in sales. The probability of these two events occurring simultaneously can be predicted by analyzing the probability of the product launch's success and the conditional probability of sales increasing given that the product launch is successful.

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Answer:

i think the answer is D

Using the Integral Test, the given sequence can be found to converge

The Integral Test can be used to determine if the series converges or diverges. We can use the following integral to check if the series satisfies the conditions of the Integral Test.

Let's find out whether or not the given series converges or diverges using the Integral Test and the following integral below:

∫ [1, ∞] 5/(x² + 4) dx

Integrating this, we get:

∫ [1, ∞] 5/(x² + 4) dx= 5 tan⁻¹(x/2)|[1, ∞]

= (5/2) * π/2 - (5/2) * tan⁻¹(1/2)

As x approaches infinity, tan⁻¹ (x/2) approaches π/2, which gives us:

(5/2) * π/2 - (5/2) * tan⁻¹(1/2)

= (5/4) * π - (5/2) * tan⁻¹ (1/2)

Using the Integral Test conditions:

If ∫ [1, ∞] f(x) dx converges, then ∑ f(x) from n = 1 to ∞ converges.

If ∫ [1, ∞] f(x) dx diverges, then ∑ f(x) from n = 1 to ∞ diverges.

Since our integral evaluates to a finite number, (5/4) * π - (5/2) * arctan(1/2), we can conclude that the series also converges.

The Integral Test allows you to determine whether a sequence converges or diverges.

To be specific, if f(x) is continuous, positive, and decreasing on the interval (n, ∞), and the series ∑f(n) from n = 1 to ∞ can be represented as an integral of the form ∫ [1, ∞] f(x) dx,

then ∑f(n) from n = 1 to ∞  will converge if the integral converges.

The integral converges, as can be seen from the evaluation of the Integral Test, which is

(5/4) * π - (5/2) * tan⁻¹ (1/2).

The given sequence, therefore, also converges.

Using the Integral Test, the given sequence can be found to converge.

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Answer:

1. x = 0

2. f = 0

Step-by-step explanation:

I'm not sure if this is what you meant.

Answer:

7y−8

hope this helps :)