how did you solve it??

Answer:

1, 5 and 6.

Step-by-step explanation:

The sides of this triangles has lengths in the ratio x : √3x : 2x where 2x is the hypotenuse.

When C = 30,  the side AB is the small leg  (=x).

When B = 90, the hypotenuse is  AC ( =2x).

When A =  60, the larger leg is BC (=√3x).

1.  AB = 4, BC = 4√3 :- Are possible legs.

5 AB = 7, AC = 14. :-  AB = small leg, AC = hypotenuse.

6. AB = 11, BC = 11√3:-   AB = small, BC = larger leg.

Answer:

1, 5, and 6

Hope this helps!

Step-by-step explanation:

When k is negative, the graph will flip over the y-axis.

When a slider is moved in a graphing tool, the y=k log(x) and y=log(kx) equations are compared.

The impact of changes in k on each equation will be assessed when k is negative.

What is the answer?

The relationship between k and the y=k log(x) equation is as follows:

If k is increased, the graph will be compressed and moved up, resulting in a steeper curve.

If k is decreased, the graph will be expanded and moved down, resulting in a flatter curve.

It should be noted that if k is negative, the graph would not be defined.

Therefore, when k is negative, this graph would not be shown. For this reason, there will be no graph to compare for this equation.

When k is negative, the graph will flip over the y-axis.

The x-intercept (when y=0) is also changed from 1/k to -1/k.

The graph, however, is still defined.

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Answer:

b

Step-by-step explanation:

the sum of the 3 angles in the triangle = 180°

sum the 3 angles and equate to 180

2x + 1 + 5x + 5 + 90 = 180

7x + 96 = 180 ( subtract 96 from both sides )

7x = 84 ( divide both sides by 7 )

x = 12

The answer is B

Secion 2, I believe.

The alternative hypothesis is that the proportion of smokers in the population is less than 0.151.

In hypothesis testing, the null hypothesis (H₀) represents the assumption or claim being tested, while the alternative hypothesis (H₁) represents the opposing claim. In this case, the null hypothesis is that the proportion of smokers in the population is equal to 0.151.

To determine the alternative hypothesis, we consider the suspected decrease in the proportion of smokers since 2015. The alternative hypothesis will reflect this suspicion. Since we suspect a decrease, the alternative hypothesis would state that the proportion of smokers in the population is less than 0.151.

Formally, the alternative hypothesis can be written as H₁: p < 0.151, where p represents the population proportion of smokers. This states that the true proportion of smokers is smaller than the reported proportion of 0.151, supporting the suspicion of a decrease in the proportion of smokers.

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Answer:

The last choice

Step-by-step explanation:

All of the other choices have two of the same x values. A function can not have two of the same x values so it is the last choice.

Answer:

f(3) = -16

Step-by-step explanation:

f(3) for f(x) = -2(x + 5)

f(3) = -2(3 + 5)

f(3) = -2(8)

f(3) = -16

Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

Now, According to the question :

What is Vertical line?

A vertical line is a line, parallel to y-axis and goes straight, up and down, in a coordinate plane. Whereas the horizontal line is parallel to x-axis and goes straight, left and right.

Is a vertical line positive or negative?

The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Hence, Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

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B schedules its retransmission for t=247 bit times, and A begins transmission at t=246 bit times.

Assuming that A and B are using a binary exponential backoff algorithm to schedule their retransmissions after detecting a collision, we can use the following steps to determine when B schedules its retransmission and when A begins transmission:

Determine the number of collision attempts made by B before it schedules its retransmission:

B starts with KA=0 and KB=1, so it will attempt transmission at time t=0 bit times.

B detects a collision at t=245 bit times, so it increments KB to KB=2 and schedules its retransmission for a random time between 0 and 2^KB-1 = 3 bit times later.

Since KB=2, B will choose a random backoff time between 0 and 3 bit times. Suppose it chooses a backoff time of 2 bit times.

B will therefore schedule its retransmission for t=245+2=247 bit times.

Determine when A begins transmission:

After detecting a collision at t=245 bit times, A increments KA to KA=1 and schedules its retransmission for a random time between 0 and 2^KA-1 = 1 bit time later.

Since KA=1, A will choose a random backoff time between 0 and 1 bit time. Suppose it chooses a backoff time of 1 bit time.

A will therefore begin transmission at t=246 bit times, which is one bit time after B schedules its retransmission at t=247 bit times.

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Answer:

7

Step-by-step explanation:

Answer:

Step-by-step explanation:

The simplest form is 78.

The number of days in a row Makenzie could wear a different outfit using only her favorite clothes is 24 days.

Solving this problem would involve combinations. In mathematics, combination refers to a mathematical technique used to determine the number of possible arrangements in a collection of items, irrespective of the arrangements.

We are given that the number of t-shirts is four, the number of pairs of designer jeans is three, and the number of pairs of sandals is two. The number of days in a row Makenzie could wear a different outfit using only her favorite clothes is calculated as follows:

(4C₁) (3C₁) (2C₁) =

4 × 3 × 2 =

24

We have confirmed that the number of days in a row Makenzie could wear a different outfit using only her favorite clothes is indeed 24 days.

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The statement "the two points have the same x-coordinate" is not true when comparing the points (3, 4) and (-3, 4).

When the points (3,4) and (-3,4) are compared, the statement that is not true is that they are not equidistant from the y-axis. Both points have the same y-coordinate of 4, which means they lie on the same horizontal line. Therefore, they are equidistant from the y-axis, and the statement that they are not equidistant is not true. When comparing the points (3, 4) and (-3, 4), there are several statements that can be made. However, we need to identify the one that is not true.

The two points have the same y-coordinate, which is 4. This means that they lie on the same horizontal line parallel to the x-axis. This statement is true. The two points are equidistant from the y-axis. Since their x-coordinates are 3 and -3, they are both 3 units away from the y-axis. This statement is also true.

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Answer:

12 gallons

Step-by-step explanation:

Given the following :

Total amount of gas used by aircraft = 51 gallons

Flight departure time = 9:30 a.m

Arrival time of flight = 1:45p.m

Number of hours traveled by flight:

Arrival time - Departure time

1:45pm - 9:30a.m = 4hrs 15 minutes = [(60*4)+15] minutes = 240 + 15 = 255 minutes

Amount of gallons used per hour :

255 minutes = 51 gallons

I minutes = x

255x = 51 gallons

x = 51 / 255

x = 0.2 gallons

0.2 gallons per minute

1 hour = 60 minutes

Number of gallons per hour = (0.2 * 60) = 12 gallons

Therefore , the solution of the given problem of coordinates comes out to be x =8 and y =4 as (8,4) is the midpoint of the given line.

Using one or more values or coordinates, a coordinate system is a geometry approach used to better able to monitor points or any other topological items on a spectrum, such as Euclidean space. The coordinates of a point or object on a double plane are a pair of integers. A point's placement on a 2D plane is specified by two integers called the x and y coordinates. a set of integers indicating precise locations. The figure typically includes two numbers.

Here,

given :

Points  = C(8,6) and D(8,2).

Thus ,

For midpoint:

=> x = (x1 + x2) /2

=>  x = (8 + 8 )/2

=> x =16/2

=> x = 8

For y :

=> y = (y1 + y2) /2

=> y = (6 +2) /2

=> y = 8/2

=> y =4

Therefore , the solution of the given problem of coordinates comes out to be x =8 and y =4 as (8,4) is the midpoint of the given line.

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We are given an economy with two goods and Leontief consumers who have utility functions that depend on the minimum of the two goods. The initial endowments of the consumers are positive, and we are assuming that the aggregate endowment of the economy has more of the first good than the second. If a price system p=(p1,p2) is an equilibrium with market clearing, we need to show that p1=0 and p2>0.

We start by considering the demand function for a Leontief consumer, which is given by xi1(p) = xi2(p) = (p1 + p2)mi/pi, where mi represents the initial endowment of consumer i and pi represents the price of good i.

Since the aggregate endowment ω=(ω1,ω2) of the economy satisfies ω1 > ω2, we know that the total supply of the first good is greater than the total supply of the second good.

Now, if p1 > 0, then for any positive value of p2, the demand for the second good xi2(p) will be positive for all consumers. This implies that the total demand for the second good will be greater than the total supply, leading to a market imbalance.

To achieve market clearing, where total demand equals total supply, we must have p1 = 0. This is because if p1 = 0, the demand for the first good xi1(p) will be zero for all consumers, and the total supply of the first good will match the total supply. Additionally, p2 must be positive to ensure positive demand for the second good.

Therefore, we have shown that in an equilibrium price system with market clearing, p1 = 0 and p2 > 0, given the initial endowment condition ω1 > ω2.

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Answer: Greater than 1

Step-by-step explanation: 52 to the power of -4 is equal to 1.36768, which is just barely over 1, but is greater than 1.

To decode the cryptogram, we need to multiply the matrix A by the column vector [3, 2, 6] using matrix multiplication.

Each entry in the resulting vector corresponds to a letter in the decoded message.

Let's perform the matrix multiplication:

A =

[1 1 3]

[1 1 4]

Column vector: [3, 2, 6]

A * [3, 2, 6] = [24, 24, 77, 73, 57, 176, 46, 33, 104, 74, 56, 188, 29, 21, 63, 32, 27, 86, 85, 63, 203, 68, 48, 144, 74, 51, 153, 90, 67, 213, 37, 25, 76, 60, 48, 145, 94, 69, 207, 72, 54, 175, 30, 25, 77, 33, 28, 84]

The resulting vector represents the ASCII values of the characters in the decoded message. Converting these ASCII values back to their corresponding letters, we obtain the decoded message:

"SEMPTEMBER THE ELEVENTH WILL ALWAYS REMEMBER"

Please note that the decoded message may contain additional spaces or punctuation marks that are not present in the original matrix representation.

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The natural logarithm is commonly used to approximate growth rates in various fields such as finance, economics, and biology. However, there are potential problems that can arise when using the natural logarithm for this purpose. Some of these problems include:

1. Non-linear growth: The natural logarithm assumes a constant growth rate over time, which may not accurately represent real-world scenarios. In many cases, growth rates may change over time, leading to non-linear patterns that cannot be accurately captured using the natural logarithm.
2. Negative growth rates: The natural logarithm cannot handle negative growth rates. If a variable experiences negative growth, such as a population declining or a stock losing value, the natural logarithm will produce an undefined result. This limitation can hinder the use of the natural logarithm in situations where negative growth rates are present.
3. Sensitivity to small changes: The natural logarithm is highly sensitive to small changes in values. This means that even a slight deviation in the growth rate can result in a significant difference in the calculated approximation. This sensitivity can introduce errors and inaccuracies in the estimation of growth rates.
4. Lack of interpretability: While the natural logarithm provides a mathematical approximation of growth rates, it may not always have a clear interpretation in real-world terms. For example, if the natural logarithm yields a growth rate of 0.05, it may not be immediately obvious what this means in practical terms. This lack of interpretability can make it challenging to communicate and understand the results.

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Answer:

it doesn't show how much they sold for it to be $200

Answer:

his tank can hold 24 gallons

Step-by-step explanation:

5/6 - 1/2 = 2/6 2/6 of tank = 8 gallons So, tank can hold 24 gallons.

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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The correct answer is option b. 15.77%. The annual discount rate, also known as the discount rate or the rate of return, can be calculated using the present value formula.

Given that a cash flow of £52 million in 5 years' time is currently valued at £25 million, we can use this information to solve for the discount rate.

The present value formula is given by PV = CF / (1 + r)^n, where PV is the present value, CF is the cash flow, r is the discount rate, and n is the number of years.

In this case, we have PV = £25 million, CF = £52 million, and n = 5. Substituting these values into the formula, we can solve for r:

£25 million = £52 million / (1 + r)^5.

Dividing both sides by £52 million and taking the fifth root, we have:

(1 + r)^5 = 25/52.

Taking the fifth root of both sides, we get:

1 + r = (25/52)^(1/5).

Subtracting 1 from both sides, we obtain:

r = (25/52)^(1/5) - 1.

Calculating this value, we find that r is approximately 0.1577, or 15.77%. Therefore, the annual discount rate is approximately 15.77%, corresponding to option b.

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Answer:

He did an error because he multiplied equation 2 wrongly.

The correct multiplication should have been:

-6x + 9y = 6        Multiply equation by 2 by 3

Step-by-step explanation:

Given the system of equations

3x-5y=4

-2x+3y=2

This is what student solved

6x - 10y = 8        Multiply equation 1 by 2

-6x + 3y = 6        Multiply equation by 2 by 3

_________

       -7y = 14

          y = -2

He did an error because he multiplied the equation 2 wrongly.

The correct multiplication should have been:

-6x + 9y = 6        Multiply equation by 2 by 3

NOW, HERE IS THE CORRECT VERSION

6x - 10y = 8        Multiply equation 1 by 2

-6x + 6y = 6        Multiply equation by 2 by 3

_________

       -4y = 14

          y = -2/7

Answer:

166.25

Step-by-step explanation:

12 1 /4 + 154

166 1/4

665/4 , 166.25

Hey there!

12 1/4 + 11.14

= 49/4 + 11.14

= 12.25 + 11.14

= 23.39 or 23 39/100

Answer: 23.39 or 23 39/100

Good luck on your assignment and enjoy your enjoy your day!

~Amphitrite1040:)

After the EEOC completes its investigation in an employment discrimination case, the outcomes can include resolution attempts, lawsuits, or issuing a Notice of Right to Sue to the complainant.

After the Equal Employment Opportunity Commission (EEOC) completes its investigation in an employment discrimination case, several outcomes are possible:

The EEOC may find reasonable cause to believe that discrimination has occurred. In this case, they may attempt to resolve the matter through informal methods such as mediation or settlement negotiations. If these efforts fail, the EEOC may file a lawsuit against the employer on behalf of the aggrieved individual(s).

If the EEOC does not find reasonable cause, they will issue a Notice of Right to Sue to the individual who filed the complaint. This allows the individual to pursue a lawsuit against the employer independently.

In some cases, the EEOC may determine that further investigation is needed, and they may request additional information or evidence from both the complainant and the employer.

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Answer:

Step-by-step explanation:

Find x if these two

triangles are similar.

Similar triangles are triangles that have the same shape, but their sizes may vary,  their corresponding angles are congruent and corresponding sides are in equal proportion.

we can solve with an equation

81 : 27 = 27 : x

x = 27 * 27 : 81

x = 9

-------------------------------

check

81 : 27 = 27 : 9

3 = 3

the answer is good

Answer: 1. €37 and €17

2. €34

Step-by-step explanation:

Given Data:

Cost of 1/4kg of chorizo = €9.25

Cost of 1/2kg of cheese = €8.50

Therefore:

1. Cost of 1kg of each product.

If 1/4 kg or chorizo cost €9.25,

1kg = 1/4 which is known as one fourth or one quarter. There are 4 one fourth in 1

1kg = 1/4 + 1/4 + 1/4 + 1/4

Or

1kg = 4 * €9.25

1kg = €37

Cost of 1kg of chorizo is €37

Cost of 1kg of cheese

If 1/2kg = €8.50

Then; 1kg = 1/2 + 1/2

1kg = €8.50 + €8.50

1kg = €17

Cost of 1kg of cheese = €17

2. Cost of 2kg of cheese.

If 1kg of cheese cost €17

2kg = 2 * €17

2kg = €34

Cost of 2kg of cheese is €34