if the marked price of a watch is 25 % above the cost price. by what percentage the cost price is less than the marked price​

Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

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The function is\(\( \mathrm{f}(x, y)=e^{2 x y} \)\) and the constraint is\(\( x^{3}+y^{3}=16 \)\).Let us define g(x, y) as the constraint, then it is given as\(\(g(x,y)=x^3 + y^3 - 16\)\).

The Lagrange equation is defined as, ∇f(x,y)= λ ∇g(x,y) .Then, we obtain the following partial derivatives:

\(\[\frac{\partial f}{\partial x}=2ye^{2xy},\frac{\partial f}{\partial y}\)

\(=2xe^{2xy}\]\)

and

\(\[\frac{\partial g}{\partial x}\)\(=3x^2,\frac{\partial g}{\partial y}\\=3y^2.\]\)

Now, solving the Lagrange multiplier equation,

\(\[\nabla f=\lambda \nabla g\]\)

\(=\[2ye^{2xy}\)

\(=3 \lambda x^2,\: 2xe^{2xy}\)

\(=3\lambda y^2\]\)

And \(\[g(x,y)=x^3 + y^3 - 16=0.\]\)

Solving the first two equations for λ, we get,\

\([\lambda =\frac{2ye^{2xy}}{3x^2}\)

\(=\frac{2xe^{2xy}}{3y^2}\]\)

Simplifying, we get,

\(\[2y^3=3x^2e^{-2xy}\]\)

\(\[2x^3=3y^2e^{-2xy}\]\)

Multiplying both, we get\(,\[4x^3y^3=9x^2y^2\]\) which simplifies to, \(\[4xy=9\]\) Solving it with the constraint, we get,

\(\[x=\sqrt[3]{8}, y=\sqrt[3]{8}\]\) Therefore, the maximum value of the function subject to the constraint is

\(\(f(\sqrt[3]{8},\sqrt[3]{8})\)

\(=e^{2(\sqrt[3]{8})^{2}}\)

\(=e^{4\sqrt[3]{4}}.\)\)

Thus, the maximum value of the function subject to the constraint is \(\(e^{4\sqrt[3]{4}}.\)\)Therefore, the required value is 

\(\(e^{4\sqrt[3]{4}}.\)\)

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Answer:

it is 752 hope this helped

The answer of the question based on population growth is , the estimated population after one year is approximately 34 deer.

To estimate the population after one year, we can use the formula for exponential growth:

P = P0 * (1 + r)^t.

P0 represents the initial population (20 deer in this case), r represents the growth rate (70% or 0.7 as a decimal), and t represents the time period in years (1 year in this case).

Using these values, we can calculate the population after one year as follows:

P = 20 * (1 + 0.7)¹
P = 20 * 1.7
P ≈ 34

Therefore, the estimated population after one year is approximately 34 deer.

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Answer:

\(A = 118ft^2\)

Step-by-step explanation:

See attachment for complete question.

From the attachment, we have:

\(\theta = 80\)

\(r = 13ft\) -- Radius

Required

Determine the area of the sector

Area (A) of a sector is calculated as:

\(A = \frac{\theta}{360} * \pi r^2\)

Substitute values for r and \(\theta\)

\(A = \frac{80}{360} * \pi 13^2\)

\(A = \frac{80}{360} * \pi *169\)

\(A = \frac{80*169}{360} * \pi\)

\(A = \frac{13520}{360} * \pi\)

Take \(\pi\) as \(\frac{22}{7}\)

\(A = \frac{13520}{360} * \frac{22}{7}\)

\(A = \frac{13520 * 22}{360 * 7}\)

\(A = \frac{297440}{2520}\)

\(A = 118ft^2\)-- approximated

Answer:

  a³ +b³ = (a +b)(a² -ab +b²)

Step-by-step explanation:

The patterns for factoring the sum and difference of cubes are similar. The sign of the second term in each factor is reversed from one pattern to the other.

  a³ -b³ = (a -b)(a² +ab +b²)

  a³ +b³ = (a +b)(a² -ab +b²) . . . . . pattern for factoring sum of cubes

Answer:

Cannot be determined

Step-by-step explanation:

You cannot assume the function travels down infinitely, because the function is not given to you. The graph could go up down left or right for all you know, you just cannot see it.

Answer:

good luck :)

Step-by-step explanation:

Using the empirical rule, the percentage of IQ scores that are greater than 79 is 84%.

The empirical rule, also known as the 68-95-99.7 rule, states that for a normal distribution:

Since we know that the mean is 96 and the standard deviation is 17, we can calculate how many standard deviations away from the mean an IQ score of 79 is:

(79 - 96) / 17 = -1

This means that an IQ score of 79 is one standard deviation below the mean. This also means that approximately 68% of the data falls between 79 and (96 + 17) = 113.

Meanwhile, approximately 32% of the data falls outside of one standard deviation. We can say that half of this 32% are scores less than 79 and the other half are scores greater than 113. So the percentage of IQ scores greater than 79 is:

100 - (1/2 of 32) = 84%

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Answer:

9/14

Step-by-step explanation:

The probability that chad gets at least 2 heads on 3 flips is 1/2 which was found using the sample space.

Given: To decide who will pay for lunch, Jeff and Chad decide to flip a coin three times. Chad chooses heads, and in order to win and have Jeff pay for his lunch, he must get heads at least twice out of three times.

Let,

H = Heads

T = Tails

Sample space =  {HHH, HTH,THH,TTH, HHT, HTT,THT,TTT​}

Total number of possible outcomes = 8

Probability that chad gets at least 2 heads is given as:

P(A)=P(getting two heads)+P(getting 3 heads)

= 3/8 + 1/8

= 4/8

= 1/2

Therefore,  the probability chad gets at least 2 heads on 3 flips is 1/2 which was found using the sample space.

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Step-by-step explanation:

This is the correct answer.

Even according to calculator and working.

So not quite sure why those options are incorrect?

Answer:

hope it will help uh.....

Answer:

divide then multply

Step-by-step explanation:

To solve the initial value problem y'' - 2y' - 3y = 0, with y(0) = 1 and y'(0) = 2, we can use the method of Laplace transforms.

First, we take the Laplace transform of the given differential equation to obtain an algebraic equation in terms of the Laplace transform of the unknown function y(t). Then, we solve the algebraic equation for the Laplace transform of y(t) using standard algebraic techniques. Finally, we take the inverse Laplace transform to obtain the solution y(t) in the time domain.

Applying the Laplace transform to the given differential equation, we have s²Y(s) - sy(0) - y'(0) - 2(sY(s) - y(0)) - 3Y(s) = 0, where Y(s) represents the Laplace transform of y(t). Simplifying this equation, we get (s² - 2s - 3)Y(s) - (s - 2) = s²Y(s) - 3s - 4. Rearranging the equation, we have Y(s) = (s - 2) / (s² - 2s - 3).

To solve this equation for Y(s), we can decompose the expression into partial fractions, which yields Y(s) = 1 / (s - 3) - 1 / (s + 1). Taking the inverse Laplace transform of Y(s), we obtain y(t) = e^(3t) - e^(-t), which is the solution to the initial value problem.

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The better buy is given by the following brand:

Brand A.

The better buy is obtained applying the proportions in the context of the problem.

A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.

Then the better buy is given by the option with the lowest cost per ounce.

The cost per ounce for each brand is given as follows:

$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.

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Answer:

$18150

Step-by-step explanation:

Solution:

Principle= $15,000

Time= 6 months

Rate= 3.5% (7.5/2)

Amount= ?

SI=?

             Now,

              SI=(15000*6*3.5)/100

                 =$3150

                Amount=SI+Principle

                              =$18150

The total value of the account when the deposit, time period and the annual rate is given so it should be $18150.

Since

Principle = $15,000

Time period = 6 months

Rate \(= 7\% \div 2\) = 3.5%

So, first determine the interest

So,

= (15000(6)*(3.5%)

= $3150

Now the amount is

= $15,000 + $3,150

= $18,150

hence,The total value of the account when the deposit, time period and the annual rate is given so it should be $18150.

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Number of weeds is represented by the function,

\(W(d)=1500(0.75)^d\)

\(W(d)=1500(1-0.25)^d\) -------(1)

Here, \(d=\) Number of days since application

Function representing the exponential decay is,

\(A(t)=A(1-r)^t\) --------(2)

\(A=\) Initial value

\(r=\) Percentage decay

\(t=\) duration

By comparing both the functions (1) and (2),

\(r=\) 0.25 ≈ \(\frac{25}{100}\)

Or \(r=\) 25%

Therefore, population of weeds will decrease 25% each day.

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Assuming that there are 1802 seats in the amphitheater.

A vast open space encircled by upward-sloping rows of seats is known as an amphitheatre. During the Greek and Roman eras, plays were mostly performed in amphitheatres. An amphitheatre is a piece of land that surrounds an open space entirely or partially.

Number of seats

First row=20

Second row=22

Third row=24

A.P = 20,22,24,…

a=20

d=22−20=2

n=34

Using the formula of the sum of the first n terms of an A.P

Sn=n/2[2a+(n−1)d]

S*34= 34/2 [2×20 +(34-1) 2]

S*34 = 17 [40 + 33 ×2]

S*34=​ 17 [106]

S*34= 1802

Therefore If a amphitheatre has 20 seats in the first row, 22 in the second row, 24 in the third row, and so on for 34 rows. The number of  seats that are in the amphitheatre is 1802 seats.

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we get that:

so the answer is x=-6

A person pays $1 to play a certain game by rolling a single die once. if a 1 or 2 comes up, the person wins nothing. if, however, the player rolls a 3, 4, 5, or 6 he or she wins the difference between the number rolled and $1, this means that the game is not fair, based on the expected value

We can see that the expected value of the game can be found by multiplying each payout by its probability of occurring and then summing up the results:Expected value = (0.2)($1) + (0.2)($1) + (0.2)($2) + (0.2)($3) + (0.2)($4) + (0.2)($0) + (0.2)($0)Expected value = $0.40 Since the expected value of the game is positive, it means that, over the long run, players are expected to make money on average. This means that the game is not fair.

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H1 is a treatment that affects the patient's memory. Alternative hypothesis H1 indicates that the treatment affected the patient's memory.

To test this hypothesis, the researcher should compare the test result to the population mean of 50. Researchers will use a one-tailed t-test with a significance level of 0.01.

If the calculated t-value is greater than the critical value, the null hypothesis is rejected and the alternative hypothesis is accepted.

To perform a t-test, the researcher must calculate the mean, standard deviation, and t-value of the patient's test scores. The average is calculated by dividing the sum of the test scores by the number of test scores. The standard deviation is calculated as the square root of the sum of the squared deviations from the mean divided by the number of test scores minus one.

The t-value is calculated by dividing the difference between the mean of the patient's test scores and the population mean by the standard deviation of the patient's test scores, multiplied by the square root of the number of test scores.

If the calculated t-value is greater than the critical value, you can reject the null hypothesis and accept the alternative hypothesis that the treatment did indeed affect the patient's memory.

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Using proportions, it is found that:

A proportion is a fraction of total amount.

In this problem, the total amount divided is R 4625.

For every R4 Andrew gets, both Brendan and Clair gets R3, hence the ratio is 4:3:3, which means that:

Then:

\(A = 0.4(4625) = 1850\)

\(B = C = 0.3(4625) = 1387.5\)

Hence:

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Answer:

2/3 of a pound or .6 repeating

Step-by-step explanation:

Let x be the minimum number of cars Ken has to wash to reach his goal, then we can set the following linear equation:

Solving the above equation for x, we get:

Rounding up to the nearest whole number we get:

Answer:

630 000

Step-by-step explanation:

We have to find 18% of the number 3 500 000:

\( \frac{3500000 \times 18\%}{100\%} = 630000\)

The probability that the sample proportion of Republicans will differ from the population proportion by greater than 5% is 100%

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

It is given that 58% of voters are Republican. The sample is 536 voters.

0.58×536 = 310.88 can be rounded off to 311.

536 - 311 = 225 are not republicans

311-225 = 86 is the difference

\(\frac{86}{536}\)×100 = 16.044%

Hence, the probability is 100%.

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Answer:

e = 5

Step-by-step explanation:

Answer:

108ft²

Step-by-step explanation:

I took the test.