2. Find the values of x and y if KLMN is a parallelogram. Show your work.
L 4y-2
2x+10
K
M
15+X
8-y N

Answer:

D

Step-by-step explanation:

The local maximum values of f using both the first and second derivative tests f(x) = x2 / (x - 1) are f(0)= 0 and f(-2) = 4.

Given f(x) = x2 / (x - 1)

To find the local maximum and minimum values of f using both the first and second derivative tests

First derivative of f(x) = df(x)/dx= [(x - 1) * 2x - x2 * 1] / (x - 1)2= [2x² - x² + 2x] / (x - 1)²= x(x + 2) / (x - 1)²

First, we find the critical point of f(x).

The first derivative of f(x) is equal to 0 at critical points.

Therefore, x(x + 2) / (x - 1)² = 0=> x = 0 and x = -2 are critical points of f(x).

Now, we find the nature of critical points using the second derivative of f(x).

Second derivative of f(x) = d²f(x)/dx²= d/dx[x(x + 2) / (x - 1)²]= [(x - 1)² * 2x + (x + 2) * 2(x - 1)] / (x - 1)⁴= [2x³ - x² - 2x + 4x - 2] / (x - 1)⁴= [2x³ - x² + 2x - 2] / (x - 1)⁴

At x = 0, f"(0) = -2/1⁴ = -2 is less than 0

Therefore, f(0) is a local maximum.

At x = -2, f"(-2) = -6/9 = -2/3 is less than 0

Therefore, f(-2) is a local maximum.

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There were 200 children and 175 adults admitted to the amusement park.

To find the number of children and adults admitted to the amusement park, we can set up a system of equations based on the given information.

Let's use "c" to represent the number of children and "a" to represent the number of adults.

According to the problem, the admission fee for children is $3.00, so the total admission fee collected from children is 3c. Similarly, the admission fee for adults is $5.80, so the total admission fees collected from adults is 5.80a.

The total number of people admitted to the park is given as 375, so we can write the equation:
c + a = 375    (equation 1)

The total admission fees collected is given as $1615, so we can write the equation:
3c + 5.80a = 1615    (equation 2)

Now we can solve this system of equations to find the values of c and a.

To eliminate the decimal in equation 2, we can multiply both sides by 100:
300c + 580a = 161500

Now we can solve the system of equations using the method of substitution or elimination.

Let's solve by substitution. Rearrange equation 1 to solve for c:
c = 375 - a

Substitute this expression for c in equation 2:
300(375 - a) + 580a = 161500

Now we can simplify and solve for a:
112500 - 300a + 580a = 161500
280a = 49000
a = 175

Now substitute the value of a back into equation 1 to find c:
c + 175 = 375
c = 375 - 175
c = 200

Therefore, there were 200 children and 175 adults admitted to the amusement park.

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Answer: 45 because 4+3+2=9 and 9x5=45

The conditional probability that the size of the family is less than 6 given that it is at least 3 is 1.

To find the conditional probability that the size of the family is less than 6 given that it is at least 3, we need to use the formula for conditional probability.

Let's denote A as the event that the size of the family is less than 6, and B as the event that the size of the family is at least 3.

The conditional probability of A given B, denoted as P(A|B), is calculated as follows:

P(A|B) = P(A and B) / P(B)

First, we need to find P(B), the probability that the size of the family is at least 3. Since the family is selected at random, we can assume that all possible family sizes have an equal chance of being selected.

Let's assume the total number of possible family sizes is n. The probability of selecting a family with at least 3 members is the sum of the probabilities of selecting a family with exactly 3 members, exactly 4 members, and exactly 5 members.

P(B) = P(3) + P(4) + P(5)

Next, we need to find P(A and B), the probability that the size of the family is both less than 6 and at least 3. Since any family size less than 6 is also at least 3, P(A and B) will be the same as P(B).

Finally, we can substitute the values into the formula for conditional probability:

P(A|B) = P(A and B) / P(B) = P(B) / P(B) = 1

Therefore, the conditional probability that the size of the family is less than 6 given that it is at least 3 is 1.

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Answer: -1

Step-by-step explanation:

y=1-4/8-5

y=-3/3

y=-1

:)

Given:-

now put the value of x = 2 in eqⁿ

\( \rm{2( \: {5} \: )^{x} }\)

\( \: \)

\( \rm{2 (\: {5} \: )^{2} }\)

\( \: \)

\(2( \: 25 \: )\)

\( \: \)

\( \underline{ \boxed{ \rm \orange{ { \: 50 \: }}}}\)

\( \: \)

hope it helps! :)

\( \: \)

The scale of the model is approximately 0.089552, or we can say that it is roughly 1:11.2.

To determine the scale of the model, we need to compare the height of the model to the actual height of the building.

The height of the model is given as 3 feet.

The actual height of the building is given as 33 feet 6 inches.

To compare these two heights, we need to convert the height of the building to the same unit as the model (feet).

To convert 6 inches to feet, we divide by 12 since there are 12 inches in a foot:

6 inches / 12 = 0.5 feet.

Therefore, the actual height of the building is 33 feet + 0.5 feet = 33.5 feet.

Now we can calculate the scale of the model:

Scale = Model Height / Actual Height

Scale = 3 feet / 33.5 feet

Simplifying the fraction, we get:

Scale ≈ 0.089552

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Answer:

None of them

Step-by-step explanation:

A polynomial must have a pronumeral that is to the power of an integer, and you can't divide by a variable such as 2/x so for

a) there is a \(\sqrt{x}\) which means it's not a polynomial as \(\sqrt{x}\) is the same as \(x^{1/2}\)

b) The second term is being divided with a variable so that can't be a polynomial

c) There is a \(\sqrt{3x}\) so it can't be a polynomial

d) There is a \(\sqrt{y}\) so it can't be a polynomial

Answer:

The answer is -8/15

Step-by-step explanation:

Answer:

-5/24  

Step-by-step explanation:

-5/24 = -0.20833  Both are the answer but, you asked for it in fraction form so,

the one you need is -5/25.

Hope I helped.

Answer:

Step-by-step explanation:

i think that the answer is a, because the def of natural numbers match's and there all integers.

The correct answer is b. understate the degree of concentration.

When relevant markets are localized, using national data to establish concentration ratios tends to underestimate the degree of concentration. This is because national data might not accurately reflect the concentration of market power within specific localized markets. Concentration ratios measure the market share of a few large firms in an industry, and when relying on national data, it may not capture the specific market dynamics and competition at the local level.

In localized markets, there may be regional or local competitors that have significant market share and influence but are not adequately represented in national data. By only considering national data, the concentration ratios may not capture the true extent of market concentration within specific localized markets. Therefore, the use of national data tends to underestimate the degree of concentration in such cases. To obtain a more accurate assessment of market concentration in localized markets, it is important to gather and analyze data specific to those markets. This localized data can provide a better understanding of the competitive landscape and the concentration of market power within the relevant markets.

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Answer:

1.44

Step-by-step explanation:

All you have to do is divide 13 by 9 and get 1.44, that is how much snow fell in 1 hour

pls mark brainliest

Answer:

-10<x<0

0<x<4

4<x<8

Step-by-step explanation:

Edg 2020 correct answer

The domain of the 1st piece is -10 < x < 0, for 2nd piece is 0 < x < 4, and for 3rd piece is 4 < x < 8.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a piecewise function shown in the picture:

From the graph:

f(x) = -2, Domain: -10 < x < 0

f(x) = 2x + 1, Domain: 0 < x < 4

f(x) = (-1/2)x, Domaim: 4 < x < 8

Thus, the domain of the 1st piece is -10 < x < 0, for 2nd piece is 0 < x < 4, and for 3rd piece is 4 < x < 8.

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The difference in the proportion of males and the proportion of females that smoke is 0.08

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

The given parameters are:

                             Male           Female

Sample                  61                  48

Smokers               15                   8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08

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The maximum length of the remainder has 15 bits. The generator polynomial of a cyclic code determines the number of check bits, the minimum Hamming distance, and the maximum length of the remainder.

The degree of the generator polynomial in binary BCH codes corresponds to the number of check bits in the code. Furthermore, the length of the code is determined by the generator polynomial and is given by (2^m)-1 where m is the degree of the generator polynomial.Let the generator polynomial be X16+1 and we are to determine the maximum length of the remainder. For this polynomial, the degree is 16 and the length of the code is (2^16)-1 = 65535. We know that the maximum length of the remainder is equal to the degree of the generator polynomial minus one, i.e. 15.So, the maximum length of the remainder has 15 bits.

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The correct statement for using the cumulative distribution function (cdf), F(x), to solve the probability P(X<12) is: F(12) - F(11), We subtract the cdf value at x-1 from the cdf value at x.

The cumulative distribution function (cdf), denoted as F(x), gives the probability that a random variable X takes on a value less than or equal to x. In this case, we are interested in finding the probability that X is less than 12, which can be expressed as P(X<12).

To calculate this probability using the cdf, we need to find the difference between the cdf values at 12 and 11. The cdf value at 12, denoted as F(12), gives the probability that X is less than or equal to 12. Similarly, the cdf value at 11, denoted as F(11), gives the probability that X is less than or equal to 11.

Since we want to find the probability that X is strictly less than 12, we subtract the probability that X is less than or equal to 11 from the probability that X is less than or equal to 12. Mathematically, this can be written as F(12) - F(11).

Therefore, the correct statement for using the cdf to solve P(X<12) is F(12) - F(11).

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a) The central 95% of all copper contents would be bounded by the values of 26.02 and 35.58.

b) The distribution of the sample mean copper content follows an approximately normal distribution with a mean of 30.8 and a standard error of \($\frac{2.45}{\sqrt{16}}\) =0.6125.

c) If we were to randomly sample 16 brake pads from this distribution, the bounding values for the central 95% of possible means would be (29.6, 32)

a) Since the copper content in sintered brake pads follows an approximately normal distribution with a mean of 30.8 and a standard deviation of 2.45, we can use the standard normal distribution to find the values that bound the central 95% of all copper contents. The 95% confidence interval corresponds to z=1.96 in the standard normal distribution. Thus, the values that bound the central 95% of all copper contents are given by:

30.8−1.96×2.45=26.02,30.8+1.96×2.45=35.58

b) The sample mean of copper content for a sample of 16 pads is also normally distributed with a mean of 30.8 and a standard deviation of \($\frac{2.45}{\sqrt{16}}=0.6125$\), which is called the standard error. The distribution of the sample mean is given by:

c) The bounding values for the central 95% of possible means can be found by using the formula:

where \($\sigma$\) is the population standard deviation, n is the sample size and \($z^*$\)is the critical value of the standard normal distribution that corresponds to a 95% confidence interval. Substituting the values, we get:

Therefore, the bounding values for the central 95% of possible means are given by:

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Answer:

36 square units

Step-by-step explanation:

Area of Parallelogram = DY x BC = DX x AB

Also remember

In a right angle triangle

sin ∅ = opposite side of angle ∅/Hypotenuse

From given figure, firstly consider the right angle

Triangle DYC

Let us say angle ∅ = 30

So, opposite side of angle ∅ = DY = 4

Hypotenuse = DC

Now using concept

In a right angle triangle

sin ∅ = opposite side of angle ∅/Hypotenuse

Substituting the values,

sin 30 = 4/DC

We know that sin 30 = 1/2

so 1/2 = 4/DC

Cross multiplying

1 x DC = 2 x 4

So DC = 8

Now,

Using concept

Area of Parallelogram = DX x AB

From figure, DX = 4.5

Area of Parallelogram = 4.5 x 8

Multiplying 4.5 and 8

Area of Parallelogram = 36 square units

So the answer is 36 square units

Hope this helps.

Answer:

36 square units

Step-by-step explanation:

Answer:

\(g(f(x))=(4x-1)^2+7=16\,x^2-8x+8\)

Step-by-step explanation:

Given:

\(f(x)=4x-1\\and \\g(x)=x^2+7\)

Then the composition of functions:

\(g(f(x))=g(4x-1)=(4x-1)^2+7= (16\,x^2-8x+1)+7=16\,x^2-8x+8\)

where we have written the final functional expression in its standard form.

The correct option is: (i) and (iii) are correct statements but not (ii).

The correct answer is:

(i) The uniform probability distribution's shape is a rectangle.

(ii) The uniform probability distribution is symmetric about the mode.

(iii) In a uniform probability distribution, P(x) is constant between the distribution's minimum and maximum values.

Therefore, the correct option is: (i) and (iii) are correct statements but not (ii).

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The question that is best answered using a parametric design is: "Does one level of the independent variable result in an increase/decrease in levels of behavior when compared to another level of that independent variable, for given participants?"

A parametric design is characterized by manipulating and comparing different levels or conditions of an independent variable. It aims to determine whether there are significant differences between these levels in terms of the dependent variable. The design typically involves controlling extraneous variables and randomizing the assignment of participants to different conditions.

The question mentioned above aligns with the purpose of a parametric design as it seeks to compare the effects of different levels of the independent variable on behavior. By manipulating and systematically varying the independent variable while holding other factors constant, researchers can assess the impact of different conditions and determine if there are statistically significant differences in behavior between them.

The other answer choices provided do not explicitly involve comparing different levels or conditions of the independent variable, which is a key characteristic of a parametric design.

Therefore, the question that is best answered using a parametric design is: "Does one level of the independent variable result in an increase/decrease in levels of behavior when compared to another level of that independent variable, for given participants?"

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Answer:

135 is the maximum number of cubes that can be obtained

Answer:

A) 15

Step-by-step explanation:

a = 3   b = 5  c = 7

a + b + c

3 + 5 + 7 = 15

Answer:

I believe it is A 15

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

x=3

6+x6+x6

6+(3)6+(3)6

6=6

(3)6=18

(3)6=18

6+18+18

24+18

42

Hope this helps ;) ❤❤❤

Answer:

Step-by-step explanation:

\(6+x^6+x^6+x\\\\6+(3)^6+(3)^6+3\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:exponents}\:\left(3\right)^6\::\quad 729\\=6+729+\left(3\right)^6+3\\\\\mathrm{Calculate\:exponents}\:\left(3\right)^6\::\quad 729\\=6+729+729+3\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:6+729+729+3\::\quad 1467\)

9514 1404 393

Answer:

  no; 2 has many factors besides 2

Step-by-step explanation:

The zero product rule says the only way a product may have a value of zero is if one or more factors is zero. That is why one of the factors of ...

  (x^2 +a)(x^2 +b) = 0

must have a value of 0.

__

The same cannot be said of 2. We might have (1/2)(4) = 2, for instance, in which neither factor is 2. That a product is 2 is not a requirement that one of the factors be 2.

The ratio of the original height of candle x to the original height of candle y is 13:8. This means that candle x is 13/8 times taller than candle y.

The ratio of the original height of candle x to the original height of candle y can be found by considering their burning rates and the time it takes for them to reach the same length. Based on the given information, candle x burns at a rate of 1/13 of its height per hour, while candle y burns at a rate of 1/24 of its height per hour. After burning for 9 hours, both candles have the same length.

Let's assume the original height of candle x is Hx and the original height of candle y is Hy. Candle x burns at a rate of 1/13 of its height per hour, so after burning for 9 hours, its remaining height would be (1 - 9/13)Hx = (4/13)Hx. Similarly, candle y burns at a rate of 1/24 of its height per hour, so after burning for 9 hours, its remaining height would be (1 - 9/24)Hy = (15/24)Hy.

Given that both candles have the same length after burning for 9 hours, we can equate their remaining heights:

(4/13)Hx = (15/24)Hy

To find the ratio of the original heights, we divide both sides of the equation by Hy:

(4/13)Hx / Hy = (15/24)

Simplifying the equation, we get:

Hx / Hy = (15/24) * (13/4) = 13/8

Therefore, the ratio of the original height of candle x to the original height of candle y is 13:8. This means that candle x is 13/8 times taller than candle y.

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