helloooo I need this simplified, also please show work cause id.k how to do this :)

\(\frac{7\sqrt{10x} }{\sqrt{6} }\)

If Lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when Lisa maximizes her utility she will buy both goods until the marginal utility of veggie burgers is three times the marginal utility of soy milk.

Therefore, if Lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when Lisa maximizes her utility she will buy both goods until the marginal utility of veggie burgers is three times the marginal utility of soy milk.

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Answer:

4 cm

Step-by-step explanation:

Given 2 similar figures with sides in ratio a : b , then

ratio of areas = a² : b²

let n be the length of the smaller one , then

ratio of sides = n : 10

ratio of areas = n² : 10² = n² : 100

Using proportion

( \(\frac{ratio}{area}\) )

\(\frac{n^2}{24}\) = \(\frac{100}{150}\) = \(\frac{2}{3}\) ( cross- multiply )

3n² = 48 ( divide both sides by 3 )

n² = 16 ( take the square root of both sides )

n = \(\sqrt{16}\) = 4

length of the smaller one is 4 cm

The perimeter of the rectangle is got increased by a factor of 2. The correct option is A.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In rectangle opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at mid-point.

Given

A rectangle has a width of 12.5 m and a length of 105 m.

We know the perimeter of the rectangle is given by

Perimeter = 2 (Lenght + Width)

Let x be the length and y be the width. Then

Perimeter = 2 (x + y)

If the dimensions are multiplied by 2. Then the effect on the perimeter will be

Perimeter = 2 (2x + 2y)

Perimeter = 2 [2 (x + y)]

The perimeter is increased by a factor of 2.

Thus, option A is correct.

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Based on the stock price and its growth rate, the function that models the situation is 48 (1 + 8%) ^ n. The price of the stock 6 years from now is $76.17.

The value of a stock in future can be calculated using several types of formulas that take into account the various characteristics of the stock.

For this stock, the value of the stock at any given year is:

= Current price of stock x ( 1 + growth rate) ^ number of years from now

Assuming the number of years is n, the function becomes:

= 48 x ( 1 + 8%) ^n

In 6 years, the price will be:

= 48 x ( 1 + 8%) ⁶

= $76.17

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Answer:

gail

Step-by-step explanation:

2/4 is half the cake, while 1/8 would be just about a slice

Answer: Gail

Step-by-step explanation:

1/8 can be divided into 1/4 therefore 2/4 is more.

Answer:

I dont know

Step-by-step explanation:

and thats not how it works

Answer:

Midpoint: (2.4, -1)

Step-by-step explanation:

Midpoint Formula: \((\frac{x1+x2}{2} , \frac{y1+y2}{2} )\)

With that in mind,

(3.2 + 1.6)/2 = 2.4

(2.5 - 4.5)/2 = -1

Answer:

(2.4, -1)

Step-by-step explanation:

To find the x coordinate of the midpoint, average the x coordinates

(3.2+1.6)/2 = 4.8/2 = 2.4

To find the y coordinate of the midpoint, average the y coordinates

(2.5+-4.5)/2 = -2/2 = -1

(2.4, -1)

Athlete would have the best running economy Runner B: VO2 of 42 ml/kg/min at 7.5. Option B

To calculate exercise intensity in METs (metabolic equivalents), we need to know the resting metabolic rate (RMR) of an individual. Without the RMR information, we cannot determine the exercise intensity in METs for the 45-year-old male exercising at 2.26 L/min. Therefore, the exercise intensity in METs cannot be determined, and the correct answer is "Not enough information."

Regarding the question about which athlete has the best running economy, we can compare the VO2 values at the given running speeds.

Runner A: VO2 of 44 ml/kg/min at 8 mph

Runner B: VO2 of 42 ml/kg/min at 7.5 mph

Runner C: VO2 of 46 ml/kg/min at 9 mph

Running economy refers to the energy cost or oxygen consumption required to maintain a given running speed. In this case, a lower VO2 value indicates better running economy.

Comparing the given VO2 values, we can see that Runner B has the lowest VO2 of 42 ml/kg/min at 7.5 mph. This means Runner B has the best running economy among the three athletes. Option B

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Answer:

-2.6112

Step-by-step explanation:

= 0.510 (3+0.2) x -1.6

= 0.510 x 3.2 x -1.6

= -2.6112

hence answer is -2.6112.

Answer:

a) What is d?

b) 52fl.oz

Weighing the available information and assigning a probability.

A sort of probability called subjective probability is one that is based on a person's subjective assessment or personal knowledge of the likelihood of a particular result. It solely represents the subject's thoughts and prior experience and does not include any formal computations. A "gut instinct" used when making a deal is an illustration of subjective probability.

So, as per the definition of subjective probability

Dividing the number of favourable events by the number of possible events and Studying the fraction of times in the past a particular event has happened, both can be determined through calculations mathematically accurate but for Weighing the available information and assigning a probability we might use a "gut instinct". Thus

Weighing the available information and assigning a probability.

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There are 47 people and 4 prizes available to be won. Therefore, the number of ways the people can be selected for the prizes can be calculated using permutations. In this case, since each person can win exactly one prize, we need to find the number of permutations of 47 people taken 4 at a time.

The answer can be generated using the formula for permutations of n objects taken r at a time, which is given by P(n, r) = n! / (n - r)!. In this case, we have n = 47 (the number of people) and r = 4 (the number of prizes).

So, the number of ways the people can be selected for the prizes is P(47, 4) = 47! / (47 - 4)!.

To explain further, the formula for permutations accounts for the order of selection. Each prize is distinct and can only be won by one person, so the order in which the prizes are assigned matters. By calculating the permutation, we consider all possible arrangements of people winning the prizes, ensuring that each person receives exactly one prize.

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The probability that a randomly chosen person who have run a red light in the last year is 50. 2 %.

To find the probability that if a person is chosen at random, they have run a red light in the last year, divide the number of people who responded "yes" by the total number of people surveyed.

The number of people who responded "yes" is given as 495. The total number of people surveyed is the sum of the "yes" and "no" responses, which is:

495 + 491 = 986

the probability of randomly selecting a person who has run a red light in the last year is:

= 495 / 986

= 50. 2 %

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Answer:

x = 16 or -2

Step-by-step explanation:

If both lines are congruent, their magnitudes are equal.

To find the magnitude of a line, the equation to use is;

D = √(x2-x1)^2 + (y2-y1)^2

So for AB, we have

D = √(-2 + 11)^2 + (5 + 3)^2

D = √81 + 64 = √145

For the second line

The distance would be;

D = √x-7)^2 + (9-1)^2

D = √(x-7)^2 + 8^2

Equate both magnitude

√145 = √(x-7)^2 + 64)

Simply remove the square roots on both sides

145 = 64 + (x - 7)^2

145 -64 = (x -7)^2

81 = (x-7)^2

Thaw the square root of both sides

x - 7 = 9

or x -7 = -9

x = 9 + 7 or x = -9 + 7

x = 16 or -2

Answer:

x = 10

Step-by-step explanation:

-20 + 4x = -6x

Subtract 4x to both sides

-20 = -10x

Divide -10 to both sides

2 = x

Best of Luck!

-20+4x = -6x

4x + 6x =20 (in here i put the like terms in one place.so it can be easy to calculate and when changing the terms the sign will be also change)

10x =20 ( in this process i add like terms)

x = 20/10 ( here 10x is multiplication so we can break the terms and change multiplication into division while putting 10 in right hand side. as i said earlier while changing terms the sign will be also change.

x = 2 ( here i divided 10 and 20 so i can get the answer)

so the ans is x = 2

Answer:

answer is in the image below

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

The probability that the average number of moths in 60 traps is greater than 0.4 is approximately 0.9738 or 97.38%.

(a) To find the mean and standard deviation of the average number of moths in 60 traps, we can use the properties of the normal distribution and the central limit theorem.

The mean of the average number of moths in 60 traps is equal to the mean of the individual moth counts, which is 0.5.

The standard deviation of the average number of moths in 60 traps is equal to the standard deviation of the individual moth counts, divided by the square root of the sample size.

standard deviation = 0.7 / sqrt(60) = 0.0905

the mean and standard deviation of the average number of moths in 60 traps are 0.5 and 0.0905, respectively.

(b) To use the central limit theorem to find the probability that the average number of moths in 60 traps is greater than 0.4, we need to standardize the distribution of sample means using the Z-score formula:

Z = (sample mean - population mean) / (standard deviation / sqrt(sample size))

Substituting the given values, we have:

Z = (0.4 - 0.5) / (0.7 / sqrt(60)) = -1.94

Using a standard normal table or a calculator with a normal distribution function, we can find that the probability of getting a Z-score greater than -1.94 is approximately 0.9738.

The probability that the average number of moths in 60 traps is greater than 0.4 is approximately 0.9738 or 97.38%.

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When graphing an exponential function, a T-chart is commonly used to determine the values. The correct answer is option A.

The T-chart employs positive real numbers since this is the most typical form of exponential function.

Exponential functions are utilized to represent processes that increase or decrease exponentially, as well as to model phenomena in many different disciplines, including science, economics, and engineering.

The exponential function can be represented by the following equation:

\(y=a^x\), where a is the base, x is the exponent, and y is the outcome.

When a is a positive number greater than one, the function is called exponential growth, while when a is a fraction between 0 and 1, the function is called exponential decay.

The T-chart is used to determine the values to use in the graph and connect the dots as required. Positive real numbers are used as the values in the T-chart in order to effectively graph the exponential function.

Therefore, the correct answer is option A.

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The null hypothesis for this test is that the standard deviations are equal, while the alternative hypothesis is that they are not equal. Since the p-value of 0.0813 is greater than the significance level of 0.025, we fail to reject the null hypothesis.

Based on the statistical software used, the F-value for the test is approximately 4.9547. The p-value for this test is approximately 0.0813. The standard deviation of the first sample is approximately 0.006596 and the standard deviation of the second sample is approximately 0.004562. The mean of the first sample is approximately 0.8211 and the mean of the second sample is approximately 0.7614. Using a significance level of 0.025, we can test the claim that the standard deviations are the same.

The null hypothesis for this test is that the standard deviations are equal, while the alternative hypothesis is that they are not equal. Since the p-value of 0.0813 is greater than the significance level of 0.025, we fail to reject the null hypothesis. This means that we do not have enough evidence to conclude that the standard deviations of the two samples are different.

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Answer:

-26.25 - 15.5x = -15.5x - 11.78

collect the like term

-15.5x + 15.5x = -11.78 + 26.25

= 14.48

Answer:

no solution

Step-by-step explanation:

- 5(5.25 + 3.1x) = - 6.2(2.5x + 1.9) ← distribute parenthesis on both sides

- 26.25 - 15.5x = - 15.5x - 11.78 ( add 26.25 to both sides )

- 15.5x = - 15.5x + 14.47 ( add 15.5x to both sides )

0 = 14.47 ← False

this false statement indicates the equation has no solution

14 ft to 21 ft = 2 ft to 3 ft

The missing angle is 90°. So, to obtain the values of the sides given the lengths we will have:

8. PT = 1

   PV = 2

9. VT = 0.76

   PV = 0.66

10. PT = 3

     PV = 6

11. PV =0.58

    PT =1.154

12. PT = 1.73

    VT = 3

13. VT = 3

     PV = 3.5

The given triangle is a scalene triangle because of the three different angles it has which sum up to 180 degrees. The sides will also be different.

For the first triangle whose known side is √3, the missing values can be obtained this way:

sin 60°/ √3 = sin 90/PV

PV = √3 Sin 90/ sin 60

PV = 1.732/0.866

= 2

PT = sin 60/ √3 = sin 30/ PT

PT = √3 sin 30/sin 60

PT = 1

Using this same pattern, the values for the other figures can be obtained.

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Answer:

16000 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5

16000 = 2³ × 2³ × 2 × 5³

if we mutiply 2³ × 2³ × 2 × 5³ by 2 × 2 , it becomes perfect cube , like it becomes 2³ × 2³ × 2³ × 5

therefore we have to multiply 2×2 = 4 with 16000 to make it perfect cube

The number with the algebraic sum of its double and 15 is greater than 3 is described by; x > -6

From the question given;

In essence;

By solving;

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The rule that describes the function is (c) Output = (0.5)(Input) + 1.5

The points on the coordinate plane are given as

(negative 1, 1), (1, 2), (3, 3), (5, 4)

Express as numbers

So, we have

(-1, 1), (1, 2), (3, 3), (5, 4)

Divide the input values by 2

So, we have

0.5(Input) => (-1/2, 1), (1/2, 2), (3/2, 3), (5/2, 4)

Add 1.5 to the input values

So, we have

0.5(Input) + 1.5 => (1, 1), (2, 2), (3, 3), (4, 4)

So, we have

Output = 0.5(Input) + 1.5

Hence, the equation is (c)Output = 0.5(Input) + 1.5

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Loewen utilizes a systematic approach to identify falsehoods in textbooks by detecting distortions and significant omissions.

Loewen employs a rigorous method to evaluate textbooks for inaccuracies and biases. He critically analyzes the content, looking for distortions, manipulations, and significant silences that may perpetuate misinformation or create a biased narrative. Loewen focuses on identifying factual errors, misleading interpretations, and intentional omissions of crucial historical events or perspectives.

To accomplish this, Loewen compares multiple textbooks, cross-referencing information to verify its accuracy. He also consults primary sources and scholarly works to fact-check claims and fill in gaps left by the textbooks. By scrutinizing the content through multiple lenses and employing a comprehensive research approach, Loewen aims to uncover distortions and significant omissions that may shape students' understanding of history and perpetuate a biased or incomplete narrative. His method ensures a thorough examination of textbook content, promoting critical thinking and an accurate representation of historical events.

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Answer:

S(-2,-1)

Step-by-step explanation:

The point is the remaining vertex of a triangle with an area of 4 square units will be S(-2, -1). Then the correct option is B.

The area of the right-angle triangle is given as

A = 1/2 x B x H

Where B is the base and H is the height of the right triangle.

The distance between the points P and Q will be 4 units.

If the ordinate of the point is (a, 3) or (b, -1). Then the area of the triangle will be 4 square units.

The point is the remaining vertex of a triangle with an area of 4 square units will be S(-2, -1).

Then the correct option is B.

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The running time wοrst case οf deleting a minimum element frοm a (min) binary heap with N elements is O(lοgN). Therefοre, the cοrrect answer is c. O(lοgN).

When deleting the minimum element frοm a binary heap, the heap needs tο be restructured tο maintain its heap prοperty. This restructuring prοcess invοlves mοving elements within the heap and pοtentially swapping elements tο maintain the heap's structure and οrdering.

Since a binary heap is a cοmplete binary tree and has a height οf lοgN, the wοrst-case running time fοr deleting the minimum element is prοpοrtiοnal tο the height οf the heap, which is O(lοgN). This is because the number οf cοmparisοns and swaps required during the restructuring prοcess is dependent οn the height οf the heap.

Therefοre, the cοrrect answer is c. O(lοgN).

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the first 400 digits of pi

3.1415926535897932384626433832795028841971

6939937510582097494459230781640628620899

8628034825342117067982148086513282306647

0938446095505822317253594081284811174502

8410270193852110555964462294895493038196

4428810975665933446128475648233786783165

2712019091456485669234603486104543266482

1339360726024914127372458700660631558817

4881520920962829254091715364367892590360

0113305305488204665213841469519415116094