if mp is p , price including VAT is q, discount amount is r and VAT amount is s ,then find the relation between them
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C(76.1) represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.

The function C(F) = (5/9)(F - 32) is used to convert temperatures from degrees Fahrenheit to degrees Celsius. In this case, the input of the function is 76.1, which represents the temperature in degrees Fahrenheit. By substituting this value into the function, we can calculate the corresponding temperature in degrees Celsius.

To convert 76.1 degrees Fahrenheit to degrees Celsius, we plug it into the function: C(76.1) = (5/9)(76.1 - 32). By performing the necessary calculations, we can find the value of C(76.1), which represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius. Therefore, the correct answer is the first option: the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.


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a. The MRS is constant (not diminishing) at 1/3.

U(x,y) = 3x + y

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = 1 / 3

The MRS is constant (not diminishing) at 1/3.

b. The MRS is diminishing because as y increases, the MRS decreases.

U(x,y) = x * y

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = 1 / y

The MRS is diminishing because as y increases, the MRS decreases.

c. The MRS is diminishing because as y increases, the MRS decreases.

U(x,y) = x * y

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = 1 / y

Similar to the previous case, the MRS is diminishing because as y increases, the MRS decreases.

d. The MRS depends on the ratio of y to x and can vary.

U(x,y) = x^2 - y^2

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = -2y / 2x = -y / x

The MRS depends on the ratio of y to x and can vary. It is not necessarily diminishing.

e. The MRS depends on the values of x and y and can vary.

U(x,y) = x + y / (x * y)

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = -1 / (y^2) + 1 / (x^2 * y)

The MRS depends on the values of x and y and can vary. It is not necessarily diminishing.

Now let's move on to the second part of the question:

For parts a, b, and c, we need more specific information about the utility functions, such as the values of α and β, to calculate the demand curves for x and y, the indirect utility function, and the expenditure function.

To show that the demand curve is homogeneous in degree zero in terms of income and prices, we need the specific functional form of the utility functions and information about the prices of x and y. Please provide the necessary details for parts A, b, and c to continue the analysis.

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Answer:

$0.30

Step-by-step explanation:

6 / 20

0.3

Best of Luck!

Answer:

the cost of 1 marker is $0.30.

Step-by-step explanation:

the ratio of number of markers is 20:6

Let's find an equivalent ratio that shows the cost for 1 marker.

A ratio where one of the terms is 1 is called a unit rate. We can divide the number of markers by 20 to get to 1 marker.

markers  -> cost

$6÷20=$0.30

The cost of 1 marker is $0.30.

174 seeds (approximately)

1) Gathering the data

55 seeds ------> 19 yellow flowers

2) Let's consider that this growth rate follows a proportion. So we can write:

55 seeds -----------> 19 yellow flowers

x ------------------------ 60 yellow flowers

Since it is a proportion, according to the fundamental principle of the Proportion we can cross multiply those ratios:

19x = 60*55

19x=3300

19x/19 = 3300/19

x =173.68

3) Hence, Carlos must sow about 174 seeds to most likely get 60 yellow flowes.

Answer:

Step-by-step explanation:

Use division. It was the same amount each day.

100 dollars over 4 days.

100  / 4 = 25

Each day her bank account decreased by 25 dollars.

Answer:

x = 42

Step-by-step explanation:

The tangent- tangent angle is half the difference of the intercepted arcs.

LN (major) = 360 - 138 = 222 , then

x = \(\frac{1}{2}\) (222 - 138) = 0.5 × 84 = 42

Here is the five-number summary, range and interquartile range:

Minimum: 9

Lower quartile:   11

Median: 24

Upper quartile:  34

Maximum: 45

Interquartile range: 23

The minimum number is the smallest number in the data. The  minimum number is 9. The maximum number is the biggest number in the dataset. The maximum number is 45.

The first quartile, third quartile and the interquartile range are used to measure dispersion.

The first quartile : 1/4(n + 1)

1/4 x (12) = 3rd term = 11

The third quartile : 3/4 x (n + 1)

3/4 x (12) = 9th term = 34

Interquartile range = third quartile - first quartile

34 - 11 = 23

Median can be described as the number that is at the center of the dataset when the number is arranged in either ascending or descending order.

Median = 25

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Answer:

x = 2.

Step-by-step explanation:

First convert to vertex form:

f(x) = 5x^2 - 20x + 3

= 5(x^2 - 4x) + 3

= 5 [(x - 2)^2 - 4] + 3

= 5(x - 2)^2 -20 + 3

= 5(x - 2)^2 - 17.

The line of symmetry  is x = 2.

Answer:

i think it's 2 7

Step-by-step explanation

the ratio with the bigger number first would be the answer because it's bigger than 1 3.

Answer:

His Son

Step-by-step explanation:

2/7=0.29

1/3=0.33

In total 19/21 of the laundry still needs to be complete.

9.5% is done

90.5% needs to be done between the both of them.

71.43% of Mr. Vardar's laundry needs to be done.

66.67% of his sons needs to be done.

Answer:

(12m + 5 ) - (3m - 2)

12m + 5 - 3m + 2

12m - 3m + 5 +2

9m + 7

Answer:

\( \sf \: 9m + 7 \)

Step-by-step explanation:

Given expression,

→ (12m + 5) - (3m - 2)

Let's simplify the expression,

→ (12m + 5) - (3m - 2)

→ 12m + 5 - 3m + 2

→ (12m - 3m) + (5 + 2)

→ (9m) + (7)

→ 9m + 7

Hence, the answer is 9m + 7.

Answer:

Step-by-step explanation:

big cheeze

Answer: 3/8

The given information is as follows: Out of the last 16 people, 6 people won a prize. We need to calculate the experimental probability of the next person winning the prize. To calculate experimental probability, we use the formula of experimental probability is given as: Experimental probability = Number of favorable outcomes / Total number of outcomes.

The given information tells us that out of the last 16 people, 6 people won a prize. It means that the number of favorable outcomes is 6. So, the experimental probability of winning a prize = Number of favorable outcomes / Total number of outcomes. Total number of outcomes is 16.

Therefore, Experimental probability = 6 / 16. Let's simplify this fraction. We can divide the numerator and denominator by 2.6/16 = 3/8Therefore, the experimental probability of the next person winning a prize is 3/8.

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Answer: 19,683 pennies

Step-by-step explanation:

I don't really understand the question. Do u have a picture?

Slope intercept form formula: Y = mx + b

M represents the slope and B represents the y-intercept.

Answer:

bat dalawa po iyang gi pa question nyo

Answer:

L to M is 90 degrees

Step-by-step explanation:

Hope this helps!

Answer:

180

Step-by-step explanation:

i straight line is equal to 180

Answer:

There are 4 terms

Step-by-step explanation:

Here, we want to get the number of terms

As we can see, each term is separated by an operator

So we have the number of terms as;

x^5

2x^4y^2

7xy^3

and 3

So we can see that there are 4 terms

Answer:

0.6 feet

Step-by-step explanation:

We solve this question using the Trigonometric function of Tangent.

tan θ = Opposite/Adjacent.

Where:

Opposite = Height /Length of the ramp = ?

Adjacent = Distance from the base of the ramp = 4 feet

θ = 8.1°

Therefore,

tan 8.1° = x/4

Cross Multiply

x = tan 8.1 × 4

x = 0.5692843028 feet

Approximately = 0.6 feet

Length of the ramp = 0.6 feet.

Answer:

2x-3y=13

x+2y=4

1) solve for x or y in one of the equations

the second equation makes this super easy: x=4-2y

2) perform a substitution by inserting the value of x into the first equation

2(4-2y)-3y=13

3) solve for y

8-4y-3y=13 --> 8-7y=13 --> -7y=5 --> y = -5/7

4) replace your y value in any of the equations to solve for x; I prefer to use the equation already set to x (x=4-2y)

x=4-2(-5/7) --> x= 38/7 OR 5+3/7

HOPE THIS HELPS!!!

Answer:

y = -3 and x = 2

explanation:

Given:

make the x coefficients similar:

( 2x -3y = 13 ) * 1    →  2x -3y = 13

( x + 2y = -4 ) * 2    → 2x + 4y = -8

solve using combination method:

 2x - 3y = 13

- 2x - 4y = +8

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

0x - 7y = 21

-7y = 21

y = -3

Find x:

x + 2y = -4

x + 2y = -4

x = -4 - 2(-3)

x = -4 +6

x = 2

Answer:

\(4 {x}^{3} - 16x = 0 \\ 4x( {x}^{2} - 4) = 0 \\ 4x(x - 2)(x + 2) = 0 \\ x = 0or \: or - 2\)

Answer:

Lateral surface area = 360 cm²

Step-by-step explanation:

Given:

Dimension of small rectangle = (12 cm by 10 cm)

Find:

Lateral surface area

Computation:

Length =√9² + 12²

Length = √81 + 144

Length = 15 cm

Dimension of big rectangle = (15 cm by 10 cm)

Lateral surface area = Area of small rectangle + Area of big rectangle + Area  of slop rectangle

Lateral surface area = (L1 x B1) + (L x B) + (l x b)

Lateral surface area = (12 x 10) + (15 x 10) + (10)(9)

Lateral surface area = 120 cm² + 150 cm² + 90 cm²

Lateral surface area = 360 cm²

a) The amount of water in the pool after 2 hours can be calculated using the equation.

Water in pool = 10L/hour × 2 hours = 20L.

b) The pool will be 80L when the equation is satisfied: 80L = 10L/hour × Time.

Solving for Time, we find Time = 8 hours.

c) Part b) is linear.

a) To calculate the amount of water in the pool after 2 hours, we can use the equation:

Water in pool = Water filling rate × Time

Since the pool gets filled up with 10L of water per hour, we can substitute the values:

Water in pool = 10 L/hour × 2 hours = 20L

Therefore, after 2 hours, there will be 20 liters of water in the pool.

b) To determine the number of hours it takes for the pool to reach 80 liters, we can set up the equation:

Water in pool = Water filling rate × Time

We want the water in the pool to be 80 liters, so the equation becomes:

80L = 10 L/hour × Time

Dividing both sides by 10 L/hour, we get:

Time = 80L / 10 L/hour = 8 hours

Therefore, it will take 8 hours for the pool to contain 80 liters of water.

c) Part b) is linear.

The equation Water in pool = Water filling rate × Time represents a linear relationship because the amount of water in the pool increases linearly with respect to time.

Each hour, the pool fills up with a constant rate of 10 liters, leading to a proportional increase in the total volume of water in the pool.

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On solving the provided question we can say that the new Mean = 610 mean .

A dataset's mean is the sum of all values divided by the total number of values, often known as the arithmetic mean (as opposed to the geometric mean). is 50.

What is mean?

A dataset's mean is the sum of all values divided by the total number of values, often known as the arithmetic mean (as opposed to the geometric mean).

The mean score is calculated by dividing the total number of tests taken by all of the scores. The mean will therefore rise if you give each test a higher mark. The standard deviation is calculated as the square root of the product of the power of two of all test results, multiplied by the number of tests, and then subtracted from the mean.

Each score you raise by 10 will result in a 10 change in the mean. But as there will be no change in the distance between each score and the mean, the standard deviations will also not change.

Mean = 600

Average deviation is 50.

Scores went up by 10

Mean = 610

Average deviation is 50.

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Answer:  32/35

Step-by-step explanation:

reduce the expression , if possible , by cancelling the common factors

yes there is no work show below

\(2x - \frac{3}{4} = \frac{1}{3} x + \frac{5}{6} \\ = > 2x - \frac{1}{3} x = \frac{5}{6} + \frac{3}{4} \\ = > \frac{6x - x}{3} = \frac{10 + 9}{12} \\ = > \frac{5x}{3} = \frac{19}{12} \\ = > x = \frac{19}{12} \times \frac{3}{5} \\ = > \frac{19}{20} \\ \)

Therefore,

\(x = \frac{19}{20} \)

verified.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Using the normal distribution, it is found that there is a 62.4% probability that a data value is between 37 and 41.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem, the mean and the standard deviation are given, respectively, by:

\(\mu = 38, \sigma = 2\)

As a proportion, the probability that a data value is between 37 and 41 is the p-value of Z when X = 41 subtracted by the p-value of Z when X = 37, hence:

X = 41:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{41 - 38}{2}\)

Z = 1.5

Z = 1.5 has a p-value of 0.933.

X = 37:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{37 - 38}{2}\)

Z = -0.5

Z = -0.5 has a p-value of 0.309.

0.933 - 0.309 = 0.624,

0.624 = 62.4% probability that a data value is between 37 and 41.

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Answer:

\( \sqrt{12a \: + \: 12b \: - \: 2ab \: + \: 2b {}^{2} } \)

Step-by-step explanation:

(a²-b²) / (a+b) = 12

a² - b² = 12(a+b)

(a-b)² + 2ab - 2b² = 12a + 12b

(a-b)² = 12a + 12b - 2ab + 2b²

a - b =

\( \sqrt{12a \: + 12b \: - 2ab \: + \: 2b {}^{2} } \)

Answer:

chatGPT

Step-by-step explanation:

Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:

d = v * (12/60) (since Car A reaches its destination in 12 minutes)

d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)

Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:

12v = 60d

18v = 60d + 240

Subtracting the first equation from the second, we get:

6v = 240

Therefore:

v = 240/6 = 40

So the cars travel at a speed of 40 miles per hour.