EMERGENCY! please give me the correct answer!​

The marginal utility of coffee and pastry is found through the partial derivatives of the utility function. The partial derivatives of the function with respect to C and P are shown below:

∂U/∂C = 0.5 C^-0.5 P^0.5

∂U/∂P = 0.5 C^0.5 P^-0.5

In general, the marginal utility refers to the satisfaction or usefulness gained from consuming one more unit of a product. Since the function is a power function with exponent 0.5 for both coffee and pastry, it means that the marginal utility of each product depends on the quantity consumed. Let's consider the marginal utility of coffee and pastry. The marginal utility of coffee (MUc) is calculated as follows:

MUc = ∂U/∂C

= 0.5 C^-0.5 P^0.5

If John consumes more coffee and pastries, his overall utility may still increase, but at a decreasing rate. Marginal utility is the change in the total utility caused by an additional unit of the goods. The marginal utility of coffee and pastry is found through the partial derivatives of the utility function. The partial derivatives of the function with respect to C and P are shown below:

∂U/∂C = 0.5 C^-0.5 P^0.5

∂U/∂P = 0.5 C^0.5 P^-0.5

The marginal utility of coffee and pastry depends on the quantity consumed of each product. The more John consumes coffee and pastries, the lower the marginal utility becomes. However, if John decides to buy the coffee, he will receive 0.25P^0.5 marginal utility, and if he chooses to buy the pastry, he will receive 0.25C^0.5 marginal utility.

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The equation 0.05n + 0.10d = 3.65 is equivalent to the equation 0.05n + 0.1d + 3.65. This equation states that the total value of the nickles and dimes in Jada's coin jar is 3.65.

The equivalent equation  0.05n + 0.1d+3.65 is 5n + 10d = 365. This equation can be obtained by multiplying both sides of the original equation by 100 to eliminate the decimal points. This gives us:

100(0.05n + 0.1d + 3.65) = 100(3.65)
5n + 10d + 365 = 365

Next, we can subtract 365 from both sides of the equation to isolate the variables on one side:

5n + 10d = 365

Therefore, the equation 5n + 10d = 365 is equivalent to the original equation 0.05n + 0.1d+3.65 and can be used to represent the situation of Jada's coin jar.

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To find the line of best fit on a table, you can use a technique called linear regression.

Linear regression helps determine the relationship between two variables and allows you to create a line that represents the best fit for the data points.

Drawing a straight line on a scatter plot with nearly equal numbers of points above and below it (and passing through as many points as feasible) can allow you to roughly estimate the line of best fit.

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A 98% confidence interval for the true proportion of Americans who were satisfied with gun control laws in 2018 is approximately 0.1935 to 0.4065.

To compute a 98% confidence interval for the true proportion of Americans who were satisfied with gun control laws in 2018, we can use the formula for a confidence interval for a proportion.

The formula for the confidence interval is:

Confidence Interval = Sample Proportion ± Margin of Error

where the Sample Proportion is the observed proportion from the sample, and the Margin of Error accounts for the uncertainty in estimating the true proportion.

Given that the sample proportion is 30% (0.30) and the sample size is 150, we can calculate the standard error (SE) using the formula:

SE = sqrt((Sample Proportion * (1 - Sample Proportion)) / Sample Size)

SE = sqrt((0.30 * (1 - 0.30)) / 150)

SE = sqrt(0.21 / 150)

SE ≈ 0.0457

To find the Margin of Error, we need to multiply the standard error by the critical value, which depends on the desired confidence level. For a 98% confidence level, the critical value is approximately 2.33 (obtained from a standard normal distribution table).

Margin of Error = Critical Value * SE

Margin of Error = 2.33 * 0.0457

Margin of Error ≈ 0.1065

Now we can construct the confidence interval:

Confidence Interval = Sample Proportion ± Margin of Error

Confidence Interval = 0.30 ± 0.1065

Therefore, a 98% confidence interval for the true proportion of Americans who were satisfied with gun control laws in 2018 is approximately 0.1935 to 0.4065.

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Answer:

15/2

Step-by-step explanation:

y varies directly as x can be written as:

y & x

y = Kx

K = y/x

But from the question, we were told that:

y = 10

X = 20

K = y/x

K = 10/20

K = 1/2

The formula for the expression is:

y = Kx

y = 1/2 x

Now let us solve for y, when:

x = 15

y = 1/2 x

y = 1/2 x 15

y = 15/2

Answer:

When x = 15, y = 15/2

Step-by-step explanation:

Formula:  "y varies directly with x" comes out to y = kx symbolically.

Find the value of the constant of proportionality, k:  If y = 10 when x = 20, then this relationship becomes 10 = 20k, and k = 1/2.

Then the formula is y = (1/2)x.

When x = 15, y = 15/2

Answer:

The market equilibrium price is approximately $36.43 per barrel.

Step-by-step explanation:

To find the market equilibrium price, we need to set the quantity supplied (QS) equal to the quantity demanded (QD) and solve for the price (P).

Given:

QS = -250 + 7P

QD = 260 - 7P

Setting QS equal to QD:

-250 + 7P = 260 - 7P

Now, let's solve for P:

Add 7P to both sides:

-250 + 7P + 7P = 260 - 7P + 7P

Combine like terms:

14P - 250 = 260

Add 250 to both sides:

14P - 250 + 250 = 260 + 250

Simplify:

14P = 510

Divide both sides by 14:

14P/14 = 510/14

Simplify:

P = 36.43

The market equilibrium price can be found by setting the quantity supplied (QS) equal to the quantity demanded (QD) and solving for the price (P) that satisfies this condition.

In the given scenario, the supply function is QS = -250 + 7P, and the demand function is QD = 260 - 7P. To find the equilibrium price, we set QS equal to QD:

-250 + 7P = 260 - 7P

Simplifying the equation, we get:

14P = 510

Dividing both sides by 14, we find:

P = 36.43

Therefore, the market equilibrium price is approximately $36.43 per barrel. At this price, the quantity supplied and quantity demanded will be equal, resulting in a state of equilibrium in the perfectly competitive domestic crude oil market.

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Answer:

C) \(3x^2-14x-5\)

Step-by-step explanation:

\((5x^2-5x+1)-(2x^2+9x-6)\\\\5x^2-5x+1-2x^2-9x-6\\\\3x^2-14x-5\)

The subtraction of the given expressions gives D. 3x² - 14x + 7.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given are two expressions.

5x² - 5x + 1 and 2x² + 9x - 6

We have to find the difference of the given expression.

(5x² - 5x + 1) - (2x² + 9x - 6)

= 5x² - 5x + 1 - 2x² - 9x + 6

Operating the like terms together,

= (5x² - 2x²) + (-5x - 9x) + (1 + 6)

= 3x² - 14x + 7

Hence the correct option is D.

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Answer:

5.6ft squared

Step-by-step explanation:

4x7 = 28 divided by 5 which is 5.6

Reduced sample size is a result of a fall in predicted rate, an increase in the tolerated rate, and a rise in the allowable risk of estimating control risk too low.

Given that,

We have to find what impact does a larger acceptable risk of estimating control risk too low have on sample size in characteristics sampling.

The term "risk of over-reliance" refers to the "risk of estimating control risk too low" in characteristics sampling, and it relates with the so-called 

Reduced sample size is a result of a fall in predicted rate, an increase in the tolerated rate, and a rise in the allowable risk of estimating control risk too low.

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As a decimal rounded to the nearest thousandth, the probability is approximately 0.111. So, P(number that is divisible by 4, number that is divisible by 4) = 0.111

To determine the theoretical probability of rolling a number that is divisible by 4 two times in a row, we can first find the probability of rolling a number divisible by 4 in a single roll, and then square it.

In a single roll of a standard six-sided die, there are 2 numbers that are divisible by 4 (4 and 8). Since there are 6 possible outcomes in each roll, the probability of rolling a number divisible by 4 is 2/6, which simplifies to 1/3.

Now, to find the probability of rolling a number divisible by 4 two times in a row, we can square the probability from a single roll: (1/3) * (1/3) = 1/9.

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Answer:

nnnnnnnnnnnnnnnnnnnnnn

Step-by-step explanation:

jjjjjjjjjjjjjjjjjjjjjjjj

Answer:

12 cm²

Step-by-step explanation:

Use the area formula A = lw, where l is the length and w is the width:

A = lw

A = (3)(4)

A = 12

= 12 cm²

Answer:

It is not a function.

Step-by-step explanation:

This can be determined by the vertical line test.

The graph shall only have one output of y for every input of x.

If the vertical line drawn on the curve intersects more than once it is not a function.

On solving the provided question, we can say that - so, percentage - 400/500 X 100 = 80%

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

here,

total is 500

obtained is 400

so, percentage - 400/500 X 100 = 80%

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The inequality shows that the number of visits that Janelys needs at least 165 points for a free movie ticket is 12.

From the information, Janelys has a points card for a movie theater and she receives 20 rewards points just for signing up and earns 12.5 points for each visit to the movie theater.

The number of visits that are needed to earn at least 165 points will be illustrated as x. This will be:

20 + 12.5x >= 165

Collect like terms

12.5x >= 165 - 20

12.5x >= 145

Divide

x >= 145 / 12.5

x >= 11.6

Therefore, she needs at least 12 visits.

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Janelys has a points card for a movie theater. She receives 20 rewards points just for signing up. She earns 12.5 points for each visit to the movie theater. She needs at least 165 points for a free movie ticket. How may visits are needed?

\(Hello\) \(There!\)

Let's do step-by-step explanation!

\(10+(\frac{1}{2})\) \(4\) · \(48\)

Multiply and divide (left and right) \((\frac{1}{2} )\) · \(4\) · \(48: 96\)

\(=10+96\)

Add and subtract (left to right) \(10+96:106\)

Answer:

\(106.\)

Hopefully, this helps you!!

\(Emilychu\)

"3 added to 5 is the same as 3 more than 5",  this statement is true. The statement "3 added to 5 is the same as 3 more than 5" means that the expression "3 added to 5" is equal to the expression "3 more than 5".

Another way to express the equality of two mathematical expressions is "3 added to 5 is the same as 3 more than 5".

"3 added to 5" is equivalent to the sum "3 + 5", which equals 8.

"3 more than 5" can be written as "5 + 3," which equals 8 as well.

Because both expressions have the same value of 8, the statement "3 plus 5 equals 3 more than 5" is correct.

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a) The odds of surviving is 1/4

b) The odds of not surviving is 4.

c) You would receive a payout of $6.25 if you bet $25 on surviving and you successfully survive the zombie apocalypse.

a) The odds of surviving the zombie apocalypse can be calculated by taking the probability of survival (20%) and dividing it by the probability of not surviving

100% - 20% = 80%

So the odds of surviving would be,

20%/80% = 1/4

This means that for every one chance of surviving, there are four chances of not surviving.

b) The odds of not surviving the zombie apocalypse can be calculated by taking the probability of not surviving (80%) and dividing it by the probability of survival (20%).

So the odds of not surviving would be

80%/20% = 4/1

This means that for every four chances of not surviving, there is one chance of surviving.

c) If you bet $25 on surviving and you do survive, based on the odds of 1/4, you would win the bet. The payout can be calculated by multiplying the bet amount by the odds of surviving.

So the payout would be

$25 * 1/4 = $6.25

Therefore, based on the odds, you would receive a payout of $6.25 if you bet $25 on surviving and you successfully survive the zombie apocalypse.

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The value of x in the inequality -x + 3 < 4 will be x > 1.

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.

The value of x in the inequality will be:

-x + 3 < 4

Collect the like terms.

-x < 4 - 3.

-x < 1

Divide through by -x

x > 1.

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Solve the inequality

-x + 3 < 4

To estimate the number of times the earth will rotate on its axis during a human's lifetime, we first need to determine the average length of a human's lifetime.

According to the World Health Organization, the global average life expectancy at birth in 2020 was approximately 72 years. Next, we need to calculate the number of days in 72 years. 72 years x 365 days/year = 26,280 days.

Since the earth rotates once every 24 hours, we can calculate the number of rotations by dividing the number of days by 24. 26,280 days ÷ 24 hours/day = 1,095 rotations. Therefore, we can estimate that the earth will rotate on its axis approximately 1,095 times during a human's lifetime.

I decided on using the average human's lifetime based on data from the World Health Organization to provide a general estimate. However, it's important to note that life expectancy can vary greatly depending on factors such as geography, lifestyle, and genetics.

we can use this formula: Number of rotations = Average lifespan (in years) x Rotations per year
Number of rotations = 72 years x 365 rotations/year
Number of rotations ≈ 26,280 rotations, So, we can estimate that the Earth will rotate on its axis about 26,280 times during an average human's lifetime.

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Answer:

33.3333333

Have a nice day!      :)

Answer:

18

Step-by-step explanation:

3*3*2

9*2

18

Answer:

3, 4, 5

Step-by-step explanation:

3 ^2 = 9

4 ^2 = 16

5 ^2 = 25

9 + 16 = 25

The equation of the transformed exponential function g(x) is g(x) = 2^-x - 1

From the question, we have the following parameters that can be used in our computation:

Parent function: y = 2^x

The graph of the transformed exponential function g(x) passes through the points  (-2,3), (-1,1), (0,0), (1,-0.5) and (2, -0.75)

So, we have the following transformation steps:

1st Transformation:

Reflect y = 2^x across the y-axis

So, we have

y = 2^-x

2nd Transformation:

Translate y = 2^-x down by 1 unit

So, we have

y = 2^-x - 1

This means that

g(x) = 2^-x - 1

Hence, the equation of the function g(x) is g(x) = 2^-x - 1

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For the first polynomial " \(x^2 +2x-8=(ax+b)(cx+d)\) " a=1,b=-2,c=1, and d=4.

For second polynomial "\(2x^3+2x^2-24x=2x(ax+b)(cx+d)\)" a = 1, b = -3, c = 1, and d = 4.

For the third polynomial" \(6x^2-15x-9=(ax+b)(cx+d)\) " a = 2, b = 1, c = 1, and d = -3.

In the table values of the coefficient for the first polynomial are  a=1,b=-2,c=1 so d=?.

                 \(x^2 +2x-8=(ax+b)(cx+d)\\\\ x^2 +2x-8=acx^2+(ad+bc)x+bd\)

comparing coefficients on both sides

                    ac=1 ; ad+bc=2 ;bd=8

putting values in ad+bc=2 to get the value of d.

                           (1)d+(-2)(1)=2

                               d=2+2

                                 d=4.

depending on the value of coefficients in your table you can calculate the value of the second and third polynomials.

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Answer:

Nabila has $25 dollars.

Hasan has $19 dollars.

Tarek has $50 dollars.

Step-by-step explanation:

Let's say Hasan has "x" dollars at first. The question tells us that Nabila has six more dollars than Hasan has. This means that Nabila has "x + 6" dollars. The last given information is that Tarek has two times what Nabila has. So, Tarek has "2x + 12" dollars, basically.

Then, we can add up all these amounts to find out the result for each person.

We found what is "x". This means that we actually found the answer.

Hasan had "x" dollars so he has $19 dollars.

Nabila had "x + 6" dollars so she has $25 dollars.

Finally, Tarek had "2x + 12" dollars or two times of what Nabila has so he has $50 dollars.

The function f(x)=√x with f:R→R is injective and surjective but not bijective.

Injective (or one-to-one): f(x) is injective, which means that if f(x1) = f(x2), then x1 = x2. In other words, if the square root of x1 is equal to the square root of x2, then x1 and x2 are equal.

Surjective (or onto): f(x) is surjective, which means that for every y in the codomain (R), there exists an x in the domain (R) such that f(x) = y. In other words, the square root of any real number can always be expressed as a real number.

Bijective: f(x) is not bijective. The square root function is not bijective because it is not defined for negative values of x.

Function: A function f is a function if for every x in the domain of f, there is exactly one y in the codomain of f such that f(x) = y. In other words, each x in the domain is mapped to exactly one y in the codomain.

In the case of f(x) = √x, it is a function. For every x in the domain of f, which is [0,∞), there is exactly one y in the codomain of f, which is [0,∞), such that f(x) = y.

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