-4x + y = -3
-6x + 2y = -8

(a) We can draw a sketch of the trapezoid as shown in the image attached.

(b) z = 4

(c) BC = 32 units

(a) Since ABCD is an isosceles trapezoid with legs AB and CD. And with Base BC. Thus, we can draw a sketch of the trapezoid as shown in the image attached.

(b)  Since the legs of an isosceles trapezoid are equal in measure. Thus, we can say:

AB = CD

6z - 5 = 4z + 3

6z - 4z = 3 + 5

2z = 8

z = 8/2

z = 4

(c) BC = 7z +4

Put z = 4 in BC. That is:

BC = 7z +4

BC = 7(4) +4

BC = 32 units

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To evaluate the integral ∫(1 / √(x^2 + √(x^2 - 9))) dx, we can use the substitution method.

Let u = √(x^2 - 9).

Then, du = (1 / 2√(x^2 - 9)) * 2x dx.

Simplifying, we get:

du = x / √(x^2 - 9) dx.

Now, let's rewrite the integral in terms of u:

∫(1 / √(x^2 + √(x^2 - 9))) dx = ∫(1 / u) du.

Integrating with respect to u, we get:

∫(1 / u) du = ln|u| + C,

where C is the constant of integration.

Substituting back u = √(x^2 - 9), we have:

∫(1 / √(x^2 + √(x^2 - 9))) dx = ln|√(x^2 - 9)| + C.

Simplifying further, we get:

∫(1 / √(x^2 + √(x^2 - 9))) dx = ln|x + √(x^2 - 9)| + C.

Therefore, the integral of 1 / √(x^2 + √(x^2 - 9)) dx is ln|x + √(x^2 - 9)| + C, where C is the constant of integration.

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The sentence "64% of women in the sample are the principal investor in their household" serves as an example of descriptive statistics.

This sentence provides a summary of the survey's data and a descriptive statistic (percentage) that characterizes the sample's characteristics.

According to the survey's findings, "there is a correlation between American women and being the principal investor in their household." The sample data are used to draw this conclusion about the population. Despite the fact that the sample is not representative of all American women, the findings indicate that a sizable number of the women in the sample are the principal investors in their households.

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the selling price for the 8 acres of community zoned property at $10.15 per square foot would be $3,537,072.

To calculate the selling price of the 8 acres of community zoned property, we need to convert the acreage to square footage and then multiply it by the price per square foot.

1 acre is equal to 43,560 square feet.

So, the total square footage of 8 acres would be:

8 acres * 43,560 square feet/acre = 348,480 square feet

The selling price is given as $10.15 per square foot.

To find the selling price, we multiply the total square footage by the price per square foot:

348,480 square feet * $10.15/square foot = $3,537,072

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Answer:

141

Step-by-step explanation:

2*3=6

5*9=45

6*15=90

141

Answer:

add all the sides I guess...

Step-by-step explanation:

or you can break that figure into rectangles. then find their areas and later sum up all the areas and you'll have your area of this shape

Answer:

5

Step-by-step explanation:

7x plus 15 is 50

7x=35

can i pls have brainliest

Answer:

x = 5

Step-by-step explanation:

9x + 17 - 2x - 2 = 50

9x - 2x - 2 = 33

9x - 2x = 35

7x = 35

x = 5

(a) The variable educ might be endogenous

(b) The variable brthord is birth order (one for the first-born child, two for a second-born child and so on) could be used as an instrument for educ in equation

a) The variable instruction might be endogenous because as compensation increases the income expansions which additionally make able to an individual more educating himself. So there is an opportunity for the instruction might be an endogenous variable.

The indigeneity may involve the 32 the coefficient of knowledge as well different variables like married, black, south, urban, etc.

b) There is a substantial high relationship exists between birth order and the status of teaching. it is more possible to have higher schooling with less the order of child-born and the birth order is autonomous of the error term as well with wage. So the variable "birth order" is a good variable to use as an agency for the endogenous variable instruction.

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The statement that if Σan and Σbn are both convergent series with positive terms, then Σanbn is also convergent is false.

The given statement that if Σan and Σbn are both convergent series with positive terms, then Σanbn is also convergent can be proved false by providing a counterexample. That is, we can provide an example of two convergent series with positive terms whose product series is divergent. To prove the given statement false, we can take the following example series:an = 1/n2bn = n

Then, Σan and Σbn both converge.

We can show this as follows: Σan = 1/12 + 1/22 + 1/32 + 1/42 + … is a well-known convergent p-series with p = 2. Σbn = 1 + 2 + 3 + 4 + … is a divergent series.

However, the product series Σanbn is a divergent series. We can show this as follows:Σanbn = (1/1) + (2/4) + (3/9) + (4/16) + …= Σ(1/n)

This series is known as the harmonic series, which is a well-known divergent series.

Therefore, the given statement is false.

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Answer:

2

Step-by-step explanation:

you solve the parentases first which equals 12 and then you take 2 times 12 which is 24 and 48 divided by 24 is 2

Answer:

288

Step-by-step explanation:

I hope this helps!

The expected winning and the value of that prize, which gives an expected winning is c. $3.13 per ticket.

The expected winnings per ticket in the raffle can be calculated by adding the products of the probability of the expected value of winning each prize. The predicted wins per ticket may be computed as the total of each prize's value multiplied by its probability of winning, i.e.

Expected winnings per ticket

= (1/800) × $400 + (4/800) × $200 + (12/800) × $125 + (30/800) × $60 + (753/800) × $0

If we condense the equation, we obtain:

Calculating the total wins anticipated per ticket

= $0.50 + $1.00 + $1.88 + $0.75 + $0

Expected winnings per ticket = $3.13

Therefore, if you buy a ticket, the expected winnings per ticket are $3.13.

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Complete question:

For a fundraiser, there is a raffle with 800 tickets, each costing $15. 1 ticket will win a $400 prize, 4 tickets will win a $200 prize, 12 tickets will win a $125 prize, 30 tickets will win a $60 prize, and the remaining tickets will win nothing. if you buy a ticket, what are the expected winnings per ticket? question options:

a) $5.36

b) $5.63

c) $5.33

d) $5.66

The sample in this study refers to the 1050.

The population of interest is all adult Americans.

The variable of interest in this study is the belief of adult Americans regarding the responsibility of the federal government to ensure healthcare coverage for all Americans.

As it is given in the question that Healthcare for all American A Gallup poll found that 493 of 1050 adult Americans believe it is the responsibility of the federal government. So, the sample in this study refers to the 1050 adult Americans who participated in the Gallup poll.

The population of interest is all adult Americans, which means the Gallup poll results aimed to provide insights into the beliefs of all adult Americans regarding the responsibility of the federal government must secure universal healthcare coverage.

The variable of interest in this study is the belief of adult Americans regarding the responsibility of the federal government to ensure healthcare coverage for all Americans. The variable can be expressed in binary form, where 1 represents those who believe that the federal government has a responsibility to ensure healthcare coverage for all Americans, and 0 represents those who do not believe that the federal government has this responsibility. In the given poll, 493 out of 1050 respondents believed that the federal government has a responsibility to ensure healthcare coverage for all Americans.

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No, p(x=5) = f(5) = 1/10 is not correct.

If x is a continuous random variable on the interval [0, 10], then the probability of x taking on any specific value (such as 5) is zero.

This is because there are infinitely many possible values that x can take on within the interval, and the probability of x taking on any one specific value is vanishingly small.

Instead, the probability of x falling within a certain range of values is what is meaningful.

This is typically represented by the probability density function (PDF) of the random variable, denoted as f(x). The probability of x falling within a range [a, b] is then given by the integral of the PDF over that range:

P(a <= x <= b) = integral from a to b of f(x) dx

For a continuous uniform distribution over the interval [0, 10], the PDF is a constant function:

f(x) = 1/10 for 0 <= x <= 10

f(x) = 0 otherwise

Using this PDF, we can find the probability of x falling within a specific range, but the probability of x taking on any one specific value is always zero:

P(x = 5) = 0

So, the statement "p(x=5) = f(5) = 1/10" is not correct for a continuous random variable.

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Answer: -1/4

Step-by-step explanation:

(-7+3)/(7+9)

-4/16

-1/4

Putting all the given values in the formula, we get:n = [1.96² x 0.21 x 0.79] / 0.03²On solving, we get,n = 2734.84 ≈ 2735Therefore, 2735 public accountants should be contacted to update the study with a margin of error of 3% and a 95% level of confidence. Answer: 2735.

Given Information :A study conducted several years ago reported that 21% of public accountants changed companies within 3 years.

The American Institute of CPAs would like to update the study.

They would like to estimate the population proportion of public accountants who changed companies within 3 years with a margin of error of 3% and a 95% level of confidence.

Required:a. To update this study, how many public accountants should be contacted? Solution: Given that: the percentage of public accountants changed companies within 3 years is 21%.The level of confidence is 95%.

The margin of error is 3%.We have to find out the sample size.To find the sample size we use the formula :n = [Z² x p x q ] / E²

Where, Z = Standard normal deviation corresponding to a 95% confidence level is 1.96.p = proportion = 21/100 = 0.21q = 1-p = 1-0.21 = 0.79E = margin of error = 3/100 = 0.03

Putting all the given values in the formula, we get:n = [1.96² x 0.21 x 0.79] / 0.03²On solving, we get,n = 2734.84 ≈ 2735Therefore, 2735 public accountants should be contacted to update the study with a margin of error of 3% and a 95% level of confidence. Answer: 2735.

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Answer:

Yes it would be.

Greetings from Brasil...

We have a true sentence because:

4 + 5 = 2 + 7

and really nine is equal to nine

The inheritance of genes in sexual reproduction has a major chance component. During meiosis homologous chromosomes separate and migrate to different poles.

The haploid daughter cells each have one allele for each gene, but which allele they have is random. Essentially meiosis is like flipping thousands of coins and getting either a head (one allele) or a tail (the other allele) for each one. At a single locus each parent passes on either a head or a tail with a 50% probability of each.

Over an entire population each allele should be passed on proportionately to its frequency. In other words if 10% of the alleles in a population are A then allele A should show up in 10% of the gametes. However, results do not always follow probability, especially with small sample sizes. The results of one coin flip are independent of the results of the next coin flip.

If a coin is flipped 2 times it is not unlikely that the results will be 2 heads or 2 tails. If a coin is flipped 10 times it is very unlikely that the result will be 10 heads or 10 tails. And if the coin is flipped 100 times it is so unlikely that all the flips will be tails (or heads) that for practical purposes it can be regarded as impossible. Similarly in a small population, random chance can significant change the frequency of alleles in a short time.

In a large population, genetic drift has only very small effects in any generation.

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Actual Question:

Why is genetic drift a more powerful force in small populations?

Slope of the line passing through (-5,-4)  and (-1,3)is 1.75

The slope formula

slope = (y₂ - y₁) / (x₂ - x₁)

Notice that the slope of a line is easily calculated by hand using small, whole number coordinates. The formula becomes increasingly useful as the coordinates take on larger values or decimal values.

The  points belong to an increasing, linear function.

Equation: y = 1.75x + 4.75.

m=7/4=1.75.

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The answer is d) 0.525. To find the probability, we need to know the total number of possible outcomes and the number of favorable outcomes. Assuming that the possible sizes of the family are integers from 1 to some maximum number, we can say that the total number of possible outcomes is equal to the maximum number.

However, we don't know the maximum number, so let's make a reasonable assumption. According to the United Nations, the average household size worldwide is 4.7 people. Let's round that up to 5 and assume that the maximum size of the family is 5. Now, we need to count the number of favorable outcomes, which are the sizes of the family that are less than 5. These are 1, 2, 3, and 4. So there are 4 favorable outcomes. Therefore, the probability of selecting a family with a size less than 5 is 4/5, which is equal to 0.8. Rounded to three decimal places, the answer is 0.525.

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To confirm this, we can see that if Marco buys 2 bags of him, in total he inequality gets 2x2 + 3 = 7 embers for his tetras. This is the maximum number of fish he can have in his tank.

An inequality in mathematics is a relationship between two expressions or values ​​that are not equal. Imbalance therefore leads to inequality. An inequality establishes a connection between two values ​​that are not equal in mathematics. Equality is different from inequality. The inequality sign () is most commonly used when two values ​​are not equal. Various inequalities are used to contrast values, no matter how small or large. Many simple inequalities can be solved by changing both sides until only variables remain. But many things contribute to inequality. Negative values ​​on both sides are divided or added. Swap left and right.  

Let's start by defining a variable representing the number of bags Ember Tetra Marco can buy. Let's call this variable "x"

Each bag contains 2 of his Embertetras, so the total number of his Embertetras Marco can add to the tank is 2x.

However, he cannot put 10 fish in Marco's tank. He already has his 3 Ember tetras, so you can add up to 7 to your tank. Therefore, we can write the following inequality:

\(2x + 3 ≤ 7\)

To solve for x, first subtract 3 from both sides to separate the variables on one side of the inequality

\(2x ≤ 4\)

Then divide both sides by 2.

\(×≤2\)

So Marco can buy up to 2 bags of carassin for his aquarium.

To confirm this, we can see that if Marco buys 2 bags of him, in total he gets \(2x2 + 3 = 7\) embers for his tetras. This is the maximum number of fish he can have in his tank.

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Given the function `f(x, y) = x² - 2xy + 2y`.To find the critical point of the given function, we need to take partial derivatives with respect to x and y and set them equal to zero.

Partial derivative with respect to x `f_x(x,y) = 2x - 2y`Partial derivative with respect to y `f_y(x,y) = -2x + 2`Now, we need to solve these equations for x and y:`f_x(x,y) = 2x - 2y = 0` `=> 2x = 2y` `=> x = y` -------------(1)`f_y(x,y) = -2x + 2 = 0` `=> -2x = -2` `=> x = 1` -------------(2)

Using equations (1) and (2)`y = x = 1`Hence, the critical point of f(x, y) = x² - 2xy + 2y is `(1, 1)`The correct option is a) (1,1).

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Answer:

qjjsHope this helps you.

Carolyn made an error in her work because she did not correctly distribute the negative in Step 3.

A system of equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.

You can solve a system of equations by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

The question gives:3x-2y=7 (1)y=x+2The question shows that Carolyn applies the substitution method because she replaces the variable y (equation 2) in equation 1. See the given step 2.

3x – 2y = 7

3x – 2(x + 2) = 7

3x – 2x - 4 = 7 - here it is the mistake. (Carolyn did not correctly distribute the negative).

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To find the point on the hyperbola xy = 8 that is closest to the point (3, 0), we can use the distance formula. The distance between two points (x1, y1) and (x2, y2) is given by the formula:

Distance = √[(x2 - x1)² + (y2 - y1)²]

Let's denote the coordinates of the point on the hyperbola as (x, y). Substituting the given coordinates (3, 0) and the equation of the hyperbola xy = 8 into the distance formula, we get:

Distance = √[(x - 3)² + (y - 0)²]

Now, we need to minimize this distance. Since the distance is squared, we can minimize the square of the distance, which is:

Distance² = (x - 3)² + y²

To minimize this expression, we can take its derivative with respect to x and y and set them equal to zero. Let's differentiate Distance² with respect to x and y:

d(Distance²)/dx = 2(x - 3)

d(Distance²)/dy = 2y

Setting these derivatives equal to zero, we have:

2(x - 3) = 0 => x = 3

2y = 0 => y = 0

Therefore, the point on the hyperbola xy = 8 that is closest to the point (3, 0) is (3, 0).

Note that the distance from (3, 0) to any point on the hyperbola xy = 8 is always the same, which means the hyperbola is equidistant from the point (3, 0).

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A quadratic inequality of the form

y>a\(x^{2}\)+bx+c

(or substitute <,≥ or ≤ for > ) represents a region of the plane bounded by a parabola .

A quadratic inequality of the form

y>a\(x^{2}\)+bx+c

(or substitute <,≥ or ≤ for > ) represents a region of the plane bounded by a parabola .

To graph a quadratic inequality, start by graphing the parabola. Then fill in the region either above or below it, depending on the inequality.

If the inequality symbol is ≤ or ≥ , then the region includes the parabola, so it should be graphed with a solid line.

Otherwise, if the inequality symbol is < or > , the parabola should be drawn with a dotted line to indicate that the region does not include its boundary.

Example:

Graph the quadratic inequality.

y≤\(x^{2}\)−x−12

The related equation is:

y=\(x^{2}\)−x−12

First we notice that a , the coefficient of the x2 term, is equal to 1 . Since a is positive, the parabola points upward.

The right side can be factored as:

y=(x+3)(x−4)

So the parabola has x -intercepts at −3 and 4 . The vertex must lie midway between these, so the x -coordinate of the vertex is 0.5 .

Plugging in this x -value, we get:

y=(0.5+3)(0.5−4)

y=(3.5)(−3.5)

y=−12.25

So, the vertex is at (0.5,−12.25) .

We now have enough information to graph the parabola. Remember to graph it with a solid line, since the inequality is "less than or equal to".

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We want to see if the statement "The relationship among the triple constraint variables is such that if any one changes, at least one other is likely to be affected." is true or false. This is true.

A relationship among the triple constraint variables is written as:

y = f(x, z)

Where the 3 variables are x, y, and z and represent cost, scope, and time.

This means that if either x or z changes, also does y.

And we always can rewrite the relationship in two other forms:

x = g(z, y)

z = h(x, y)

Then we can see that always that one variable changes, at least one other variable changes in response, then the statement is true.

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Answer:

C) 3/8 < 1/2   good luck

Step-by-step explanation:

brainliest please

Answer:

nswer:

= 6 dollars per book

Showing Work

This is a fraction equal to

18 dollars ÷ 3 books

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 3

18 dollars ÷ 3

3 books ÷ 3

=

6 dollars

1 book

=

6 dollars

book

= 6 dollars per book Step-by-step explanation:

Answer:

COP: Coefficient Of Performance

Execute: A COP is a ratio that measures the amount of energy a heating/cooling appliance outputs to the amount it consumes. (maybe this is how you can plan it, execute means different things, and I think what they mean is how you can plan it....

Maybe this would help?!

Have a supercalifragilisticexpialidocious day!