Help me, please I need the answer

The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.

a) (x1)² + (x2)² > 9

This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.

b) x1 + x2 ≤ 10

This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.

c) x1, x2 > 0

This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.

Now, let's analyze the intersection of these constraints:

Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).

To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.

If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).

Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

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Standard form of polynomial = ax² + bx + c

Zeros: x = {-2,3}

This gives the factors as, (x + 2) (x - 3)

On expanding this:

(x + 2) (x - 3)

x(x - 3) + 2(x - 3)

x² - 3x + 2x - 3

x² - x - 3

Polynomial = x² - x - 3

Answer:

64+26

Step-by-step explanation:

Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

brainliest Plsssss

Answer:

En una semana, 1344 kilos

En un mes, 5760 kilos

Step-by-step explanation:

Tambo tiene 12 vacas y cada vaca produce un promedio de 16 litros por día.

Por lo tanto, en un día, las 12 vacas podrían producir:

12 * 16 = 192 litros

En una semana, las 12 vacas podrían producir:

192 * 7 = 1344 litros = 1344 kilos

En un mes, las 12 vacas podrían producir:

192 * 30 = 5760 litros = 5760 kilos

Answer:

77.44%

49.87%

Step-by-step explanation:

If 12% leaks everyday, on the first day 12% would leak, leaving 100 - 125 = 88% of air

on the second day, 12% of 88% would leak = 0.88 x 0.12 = 0.1056

Air left on the second day = 88% - 10.56% = 77.44%

After a week = (100 - 12%)^7 = 49.87%

Answer:

The first thing we must do for this case is to define variables:

d = number of days

We then have the following inequality that represents the problem:

9d + 10 <= 146

Answer:

An inequality that represents the number of days, on which Natalie can take classes is:

9d + 10 <= 146

Step-by-step explanation:

Answer:

B. 146 ≥ 9c + 10

Answer:

his income will be 60,300

The given expression is equivalent to 28.

We have the following expression -

c - 3y

We have the given expression as -

c - 3y

For c = 7 and y = - 7, we can write -

7 - 3(- 7)

7 + 21

28

Therefore, the given expression is equivalent to 28.

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The sample mean is calculated by taking the midpoint of the confidence interval, which is 19. Margin of Error is 3.

Calculate the sample mean

The midpoint of the confidence interval is the sample mean. Therefore, we can find the sample mean as follows:

Sample Mean = (Lower Limit + Upper Limit) / 2

Calculate the margin of error

The margin of error is half of the width of the confidence interval. Therefore, we can find the margin of error as follows:

Margin of Error = (Upper Limit - Sample Mean)

The confidence interval (16, 22) indicates that we are 95% confident that the population mean falls within this interval.

The margin of error is then calculated by finding the difference between the upper limit of the confidence interval and the sample mean. In this case, the margin of error is 3.

This means that if we were to repeat the sampling process many times, we would expect the sample mean to fall within 3 units of the true population mean 95% of the time.

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In 2016 5200 parking permits were issued in a city the number of parking permits increased by 5% every year but y represents the number of parking permits issued X years since 2016 (C) the situation represents a geometric sequence because the successive y values have a common ratio of 1.05.

Since,

It can be represented as (C) the situation represents a geometric sequence because the successive y values have a common ratio of 1.05.

Therefore, in 2016 5200 parking permits were issued in a city the number of parking permits increased by 5% every year but y represents the number of parking permits issued X years since 2016 (C) the situation represents a geometric sequence because the successive y values have a common ratio of 1.05.

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The correct question is given below:
In 2016 5200 parking permits were issued in a city the number of parking permits increased by 5% every year but y represents the number of parking permits issued X years since 2016

A) the situation represents an arithmetic sequence because the successive y-values have a common difference of 1.05.

B) the situation represents a geometric sequence because the successive y values have a common ratio of 1.5.

C) the situation represents a geometric sequence because the successive y values have a common ratio of 1.05.

D) the situation represents an arithmetic sequence because of the successive y values have a common difference of 1.5.​

The simple interest rate of the loan is 8.8%. We can use the formula for simple interest to find the interest rate:

I = P * r * t

where I is the interest charged, P is the principal amount (the amount loaned), r is the interest rate, and t is the time period.

In this case, we know that P = $5,000, t = 2 years, and I = $880. Plugging these values into the formula, we get:

$880 = $5,000 * r * 2

Simplifying this expression, we get:

r = $880 / ($5,000 * 2)

r = 0.088 or 8.8%

Therefore, the simple interest rate of the loan is 8.8%.

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As the number of people visiting each day is the same 404 people visited on Sunday.

We have,

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, The water park had a total of 1,212 visitors on Friday, Saturday, and Sunday and the number of people who visited on each day is the same.

As the number of visitors is same on each day and the total number of days is three each they the number of people visited is,

= (1212/3).

= 404.

So, On Sunday 404 visitors were there.

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complete question:

The water park had a total of 1,212 visitors on Friday, Saturday, and Sunday. If the same number of people visited each day, how many visitors were there on Sunday

Answer:

473 yd^3

Step-by-step explanation:

The surface area of the square base is (11 yd)^2, or 121 yd^2.

The surface area of one of the slanting sides of the pyramid is

A = (1/2)(b)(h), which comes to A = (1/2)(11 yd)(16 yd) = 88 yd^2.

Thus, four such sides have a combined surface area of 352 yd^2.

Combining the surface areas of the slanting sides with the base area yields 473 yd^3

\(y = 49x^2 - 1\implies \stackrel{y}{0}=49x^2 -1\implies 1=49x^2\implies \cfrac{1}{49}=x^2 \\\\\\ \sqrt{\cfrac{1}{49}}=x\implies \cfrac{\sqrt{1}}{\sqrt{49}}=x\implies \cfrac{1}{7}=x\)

Question:

Please tell me what the answer is

Answer:

The people with the membership take seven classes

The people without the membership take five classes

Step-by-step explanation:

As it says in the picture:

"A local gym has two different fees for their yoga classes. Members of the gym are charged a one-time membership fee of $25 and pay $5 per yoga class. Nonmembers do not pay a membership fee, but they pay $7 per class. How many yoga classes do nonmembers and members have to attend for their cost to be the same?"

First, what you would do is look for your key words in the sentence. What you'd take from the sentence is everything that I highlighted.

If the membership fee is $25 and yoga classes are $5 and nonmembers cost for yoga classes is $7 then you have your problem right there.

Next, what you would look for is your Greatest common divisor. (GCD) The GCD of 5 and 7 is 5 of course. So now what you would do is find out how many times 5 and 7 goes into five.

7 x 5 = 35

5 x 5 = 25

Now what you do is ask yourself the question, "How many times does the nonmembers and members have to go to class to have the same amount of money spent?"

Now I will answer this question for you.

five dollars for members.

seven dollars for nonmembers.

Your answer is: 7 x 5 (30)

Answer:

For a line equation for the form of y=mx+b, the slope is m.

Slope of 3x+y=6: m = -3 (m equals negative 3).

Answer:

Step-by-step explanation:

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Let us consider that the two cars start traveling from point A in opposite directions. Let's say that they meet at point B at time t after starting to travel.

Distance traveled by the first car in time t:
Distance = Speed × Time ⇒ d1 = 60t
Distance traveled by the second car in time t: Distance = Speed × Time ⇒ d2 = 46t
Distance between A and B = sum of distances covered by both the cars in time t:
Distance AB = d1 + d2 = 60t + 46t = 106t
Given, the distance between the cars at point B = 371 miles i.e. AB = 371
Now, substitute AB with 371 in the above equation, we get: 106t = 371⇒ t = 371/106⇒ t = 3.5 hours
Therefore, the two cars will be 371 miles apart after 3.5 hours.

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If two random variables, Y1 and Y2, are independent, the condition that needs to be satisfied is that the joint probability distribution of Y1 and Y2 factors into the product of their individual probability distributions.

Mathematically, for independent random variables Y1 and Y2, the condition can be expressed as:

P(Y1 = y1, Y2 = y2) = P(Y1 = y1) * P(Y2 = y2)

This means that the probability of both events Y1 = y1 and Y2 = y2 occurring together is equal to the product of the probabilities of each event occurring individually.

In simpler terms, knowing the outcome or value of one random variable does not provide any information about the outcome or value of the other random variable if they are independent. They do not influence each other's probability distributions.

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The height of the apple tree in Susan's yard is 9 feet.

To find the height of the apple tree in Susan's yard, we can use similar triangles.
Step 1: Identify the two similar triangles.
Triangle 1 is formed by Susan's eye height (4.5 feet), the ground, and her distance from the tree (15 feet). Triangle 2 is formed by the tree's height, the ground, and the same 15 feet distance.
Step 2: Set up the proportion.
Let 'h' be the height of the tree. The proportion can be written as:
(height of eye) / (distance from tree) = (tree height) / (distance from tree)
4.5 / 15 = h / 15
Step 3: Solve for 'h'.
Cross-multiply the proportion to solve for 'h':
4.5 × 15 = h × 15
67.5 = h × 15
Divide both sides by 15:
h = 67.5 / 15
h = 4.5
Step 4: Add Susan's eye height to find the total height of the tree.
Total tree height = height of eye + height of tree above eye level
Total tree height = 4.5 + 4.5
Total tree height = 9 feet
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Answer:

20. 1/2 and 5/7 so the chance would be 5/14 or 20.83

19. 5/7 and 1/2 so it's 5/14 or 20.83 again

18. 2/7 and 11/1 so it's a 22/7 chance or 3.14

(a) 95% confidence interval for the difference between female and male times is (11.954, 255.591).

(b) The assumptions and conditions for the two-sample t-test are met, so we can use the results of the test and confidence interval.

a) To construct a 95% confidence interval for the difference between female and male times, we can use a two-sample t-test. Let's denote the mean time for female swimmers as μf and the mean time for male swimmers as μm. We want to test the null hypothesis that there is no difference between the two means (i.e., μf - μm = 0) against the alternative hypothesis that there is a difference (i.e., μf - μm ≠ 0).

The formula for the two-sample t-test is:

t = (Xf - Xm - 0) / [sqrt((s^2f / nf) + (s^2m / nm))]

where Xf and Xm are the sample means for female and male swimmers, sf and sm are the sample standard deviations for female and male swimmers, and nf and nm are the sample sizes for female and male swimmers, respectively.

Using the data from the plots, we get:

Xf = 917.5, sf = 348.0137, nf = 15

Xm = 783.7273, sm = 276.0625, nm = 28

Plugging in these values, we get:

t = (917.5 - 783.7273 - 0) / [sqrt((348.0137^2 / 15) + (276.0625^2 / 28))] = 2.4895

Using a t-distribution with (15+28-2) = 41 degrees of freedom and a 95% confidence level, we can look up the critical t-value from a t-table or use a calculator. The critical t-value is approximately 2.021.

The confidence interval for the difference between female and male times is:

(917.5 - 783.7273) ± (2.021)(sqrt((348.0137^2 / 15) + (276.0625^2 / 28)))

= 133.7727 ± 121.8187

= (11.954, 255.591)

Therefore, we can be 95% confident that the true difference between female and male times is between 11.954 and 255.591 minutes.

b) Assumptions and conditions for the two-sample t-test:

Independence, We assume that the observations for each group are independent of each other.

Normality, We assume that the populations from which the samples were drawn are approximately normally distributed. Since the sample sizes are relatively large (15 and 28), we can rely on the central limit theorem to assume normality.

Equal variances, We assume that the population variances for the female and male swimmers are equal. We can test this assumption using the F-test for equality of variances. The test statistic is,

F = s^2f / s^2m

where s^2f and s^2m are the sample variances for female and male swimmers, respectively. If the p-value for the F-test is less than 0.05, we reject the null hypothesis of equal variances. If not, we can assume equal variances. In this case, the F-test yields a p-value of 0.402, so we can assume equal variances.

Sample size, The sample sizes are both greater than 30, so we can assume that the t-distribution is approximately normal.

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If we fix x = 0 and z = 0 only y coordinate can change. So triple (0, y, 0) can only represent a point in y axis.

What do you mean by a plane?

In geometry, a plane is a surface made up of all the lines that are parallel to one another and connect any two locations on it. It is, in other words, a level or flat surface.

                          A plane is defined uniquely through any of the following in a Euclidean space of any number of dimensions: with the aid of three non-collinear points.

For the triple  (x,y,z ) to represent the point on the y - axis .

    x must be 0    y must be a real number

  and z must b 0

For the triple  (x,y,z ) to represent the point on the y - axis .

    x must be 0    y must be 0

  and z must be  a real number

For the triple  (x,y,z ) to represent the point on the y - axis .

    x must be real number     y must be 0

  and z must be  a real number

For the triple  (x,y,z ) to represent the point on the y - axis .

    x must be 0     y must be real number

  and z must be  a real number

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The radian measure of the angle at the center of the circle is approximately 1.6623 radians.

We are given that the radius of the circle is 77.0 cm and the length of the intercepted arc is 128 cm. We need to find the radian measure of the angle at the center of the circle.

To solve this problem, we use the formula relating the angle at the center of a circle, the radius of the circle, and the arc length intercepted by the angle.

The formula is given byθ = s/rwhereθ = angle at the center of the circle in radians s = arc length intercepted by the angle r = radius of the circle Substituting the given values, we getθ = 128/77.0 = 1.6623 radians (rounded to four decimal places)

Therefore, the radian measure of the angle at the center of the circle is approximately 1.6623 radians.

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There are 20! rational numbers between 0 and 1 for which the product of the resulting numerator and denominator is 20!.

To write a rational number as a fraction in lowest terms, we need to simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).

Let's calculate the product of the resulting numerator and denominator for 20! and determine how many rational numbers between 0 and 1 will have this product.

First, let's calculate 20! (the factorial of 20):

\($20! = 20 \times 19 \times 18 \times \ldots \times 2 \times 1$\)

Next, we'll express 20! as a fraction in lowest terms. Since 20! is an integer, we can write it as a fraction over 1:

\($\frac{20!}{1}$\)

To find the product of the resulting numerator and denominator, we'll simplify the fraction:

\($\frac{20!}{1} = \frac{20 \times 19 \times 18 \times \ldots \times 2 \times 1}{1} = 20 \times 19 \times 18 \times \ldots \times 2 \times 1$\)

Now, to determine how many rational numbers between 0 and 1 will have the product 20!, we need to consider the number of unique fractions that can be formed with 20! as the numerator.

Since the denominator can be any positive integer less than or equal to 20!, the number of rational numbers will be equal to 20!.

Therefore, there are 20! rational numbers between 0 and 1 for which the product of the resulting numerator and denominator is 20!.

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Answer:

a= 32

Step-by-step explanation:

Since "a" is a part of a supplementary angle (An angle that adds up to 180º)

What you would need to do is add 58º and 90º (90º because the right angle = 90)

so 58+90 = 148

Then you would subtract 148 from the total of the angle (Which is 180)

so 180 - 148 = 32, And that shows that a = 32

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