WILL GIVE BRAINLIEST ANSWER TO WHOEVER ANSWERS FIRST AND CORRECT PLEASE EXPLAIN WHY YOU ARE CORRECT

Answer:

The inverse is,

\(f^{-1}(x) = \sqrt[5]{x} - 3\)

Step-by-step explanation:

f(x) = (x+3)^5

Finding the inverse,

\(f(x) = (x+3)^5\\or,\\y = (x+3)^5\)

We replace x with y and vice versa

so,

\(x = (y+3)^5\)

Solving for y,

the the 5th root,

\(\sqrt[5]{x} = y + 3\\y = \sqrt[5]{x} - 3\)

hence the inverse function is,

\(f^{-1}(x) = \sqrt[5]{x} - 3\)

Step-by-step explanation:

f(x)=(x+3)×5

Y=5X+15

now

interxchanging x and y we get,

x=5y+15

5y=x-15

y=x-15/5

therefor f~1(x)=x-15/5

0.5 is 10 times as much as 0.05

Answer:

0.005

Step-by-step explanation:

0.005 x 10 = 0.05

In the following option n log n seems to grow the fastest amongst all according to the size of inputs.

In computer science and mathematics, the running time or complexity of an algorithm is often measured in terms of the size of the input, usually denoted by n. The notation O(f(n)) is used to describe the upper bound on the running time of an algorithm, where f(n) is a function of n.

In the context of comparing growth rates of functions, we usually only consider the highest-degree term of the function. For example, we would say that f(n) = n^2 + n grows as O(n^2), because n^2 grows much faster than n and dominates the running time as n grows larger.

Now, let's consider the functions n, n / log n, n - log n, n log n, and n^2. As n grows, each of these functions grows at a different rate.

1. n grows linearly with n, so it takes more time as the size of the input grows.

2. n / log n grows faster than n, but slower than n log n. This is because logarithms grow much slower than linear functions, but as n grows larger, the difference between n and log n becomes larger, so n / log n grows faster.

3. n - log n grows slower than n and n / log n, because log n grows much slower than n, so as n grows larger, n - log n becomes closer to n.

4. n log n grows faster than n, n / log n, and n - log n, but slower than n^2. This is because logarithms grow much slower than linear functions, but as n grows larger, the difference between n and log n becomes larger, so n log n grows faster.

5.n^2 grows much faster than n, n / log n, n - log n, and n log n, so as n grows larger, n^2 becomes much larger than any of these functions.

So, of the options given, n log n grows the fastest, meaning that an algorithm that takes time proportional to n log n will become slower faster as the size of the input grows than an algorithm that takes time proportional to n, n / log n, or n - log n.

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Refer to the photo attached. I would appreciate a rate :)

The ratio of the amount of money Alice has to the amount Bob has is approximately 3.36 : 1.

According to the problem, two equations can be set up:

If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. This gives us the equation:

A + n = 7(B - n)

If Alice gives n dollars to Bob, then she will have 2 times as much money as Bob. This gives us the second equation:

A - n = 2(B + n)

We can rearrange these equations to make them easier to solve:

8n = 7B - A

3n = A - 2B

Setting these equal to each other, since they are both equal to 24n, gives:

21B - 3A = 8A - 16B

37B = 11A

A / B = 37 / 11

= 3. 36

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Jan should use 75 carrots for mixed vegetable soup.

Let us assume the total number of tomatoes and carrots be x. So, as per the mentioned information, the equation will be -

40%×x = 50

Converting percentage to fraction

40/100×x = 50

x = 50×100/40

Cancelling zero and performing division

x = 5×25

Performing multiplication

x = 125

Total number of vegetables = number of tomatoes + number of carrots

125 = 50 + Number of carrots

Number of carrots = 125 - 50

Performing subtraction

Number of carrots = 75

Therefore, Jan should use 75 carrots.

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The complete question is -

Jan made a mixed vegetable soup using tomatoes and carrots. Forty percent of the mixed vegetables were tomatoes. If she used a total of 50 tomatoes, how many carrots should she use?

Answer:

Step-by-step explanation:

75 carrots should be used

The given information tells us that Terry's wins-to-races ratio is 2:3, but we cannot determine the exact number of races he has won without additional information about the total number of races he has participated in.

If the ratio of the number of times Terry has won to the number of races he has swum in is 2:3, we can set up a proportion to determine the number of races he has won.

Let's denote the number of times Terry has won as x, and the total number of races he has swum in as y. According to the given ratio, we have:

x/y = 2/3

To find the value of x, we need to solve for x when y is known. Since y represents the total number of races, we don't have that information in the given problem. Therefore, we cannot determine the exact number of races Terry has won without knowing the total number of races he has participated in.

The ratio tells us the relationship between the number of wins and the total number of races, but without knowing the denominator (total races), we cannot find a specific value for the numerator (number of wins). We can only determine the ratio between the two quantities.

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To find the area of the combined rectangles, we need the dimensions (length and width) of each rectangle. However, the provided text and numbers do not seem to correspond to a clear description of the rectangles or their dimensions. Could you please provide more specific information or clarify the question?

Answer:

Step-by-step explanation:

The expected Utility for Bob is given by:  

wealth w is measured in thousands of dollars

E(U) = Probability of storm * Utility if storm happens + (1- Probability of storm) * Utility if there is no storm)

E(U) = 0.33 * ln(28) + 0.67 * ln(109)

=0.33 * 3.3322 + 0.67 * 4.6913

=1.0996 + 3.1432

=4.24

E(U) = 4.24

The wealth corresponding to this expected utility is given by w = exp(E(U)) = exp(4.24) = 69.602

= 70 dollars.

Hence the maximum Bob is willing to pay for the insurance can be given by = 109 - 70

= 39  dollars.

Since it in unit of thousand dollars

The percentages of each snack type that were sold are given as follows:

A percentage is one example of a proportion, as it is obtained by the number of desired outcomes divided by the number of total outcomes, and then multiplied by 100%.

Hence the percentages for each type are obtained as follows:

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The present value of the investment in the fund is $2,455.32.

In order to calculate the present value of the investment in a fund, which is expected to generate $3,000 per year for the next 5 years with an interest rate of 4% per year compounded continuously,

we can use the formula for the present value of an annuity:

PV = A / r,

where PV is the present value, A is the annuity payment, and r is the interest rate.

However, since the interest rate is compounded continuously, we need to use the formula PV = A / e^(rt),

where e is the constant 2.71828, t is the time period in years, and r is the interest rate.

In this case, A = $3,000, r = 4%, and t = 5 years.

Therefore, the present value of the investment is:

PV = $3,000 / e^(0.04 x 5)

= $3,000 / e^(0.2)

= $3,000 / 1.2214

= $2,455.32 (rounded to the nearest cent).

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The percent of the front page taken up by the prom story is 20%

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

The front page

From the front page, we have

Area front page = 5 * 4

Area front page = 20

Also, we have

Prom = 2 * 2

Prom = 4

So, we have

Percentage = 4/20 * 100%

Evaluate

Percentage = 20%

Hence, the percent of the front page taken up by the prom story is 20%

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Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

sin(0) = 0/2

sin(30) = 1/2

sin(45) = \(\sqrt{2}\)/2

sin(60) = \(\sqrt{3}\)/2

sin(90) = \(\sqrt{4}\)/2

cos(90) = 0/2

cos(60) = 1/2

cos(45) = \(\sqrt{2}\)/2

cos(30) = \(\sqrt{3}\)/2

cos(0) = \(\sqrt{4}\)/2

notice that sin and cos repeat,   but in reverse

the answer for your questions is in there.  

Answer:

When a system of forces is acting on an object, the difference between the forces is called the Resultant force. For example, a 3N force to the left and 10N force to the right gives a resultant force of 7N to the right.

Step-by-step explanation:

Given

Nina can swim 4 laps in 2 minutes. At this rate, how many laps can she swim in one minute

Answer

Laps in 2 minutes = 4

Laps in 1 minute =4/2 =2

2 laps in 1 minute

Answer:

a x (a +1)

Step-by-step explanation:

Factor out a from the expression

The solution of the given equation is (-11, 4). the graph is attached below.

Simultaneous equations, a system of equations are Two or more equations in algebra that must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.

Given a system of equation x + 3y = 1 and  -3 - 3y = -15

Before solving it with a graph we need to simplify the equation:

From equation 1

=> -3 - 3y = -15

=> -3y = -12

=> y = 4

From substitution in equation 1

x = -11

therefore, The solution of the given equation is (-11, 4).

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Answer:

Step-by-step explanation:

The milepost number of the rest area is 7 miles away from milepost 58, so it can be represented by the equation:

m = 58 + 7

This equation states that the milepost number of the rest area is equal to 58 plus 7, or 65. Therefore, the rest area can be located at milepost 65.

Answer:

using the 1/2 ^x will let u make -3 into -1.5 and using that to multiply 3 would equal -4.5 now u have to minus the 1/2^x which is 0.5 and therefore it is four and next to the x u have 2 which means ur point is (2,-4)

Step-by-step explanation:

explained it up there

Answer: D

Step-by-step explanation:

Answer:

4270

Step-by-step explanation:

Roselyn can drive a distance until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.Roselyn can travel 120 km before running out

Distance travelled with 20 l of petrol in solution and final answer.

Roselyn's average speed is 60 kilometers per hour, and she needs to travel 150 kilometers to reach her family's place. Therefore, she will require a total of 150/60 = 2.5 hours to complete the journey.

The car's fuel efficiency is 6 kilometers per liter, meaning it consumes 1/6 liters of fuel per kilometer. To determine the total fuel required, we multiply the fuel consumption rate by the total distance: 150 * (1/6) = 25 liters of fuel.

Since the car's tank has 20 liters of fuel at the beginning of the drive, Roselyn will need an additional 25 - 20 = 5 liters of fuel to complete the journey.

As fuel costs 0.60 dollars per liter, Roselyn will need to spend a total of 5 * 0.60 = 3 dollars to purchase the necessary fuel.

Therefore, Roselyn can drive until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.

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Răspuns:

693860

Explicație pas cu pas:

Diferența dintre: 824532 și 698845

824532 - 698845 = 125687

Dublând rezultatul, r:

2 * 125687 = 251374

Pentru a obține: 3 * 315078 = 945234

Numărul care trebuie adăugat la r, în altul pentru a obține 945234 este:

945234 - 251374 = 693860

Prin urmare, 693860 trebuie adăugat la 251374 pentru a obține (3 * 315078)

Based on the net present value profile, Project H has a higher NPV than Project E.

To compare the net present value (NPV) of Project E and Project H, we need to calculate the present value of cash flows for each project and determine which one has a higher NPV. The cash flow patterns for the two projects are as follows:

Project E:

Initial investment: -$100,000

Cash flows for Year 1: $40,000

Cash flows for Year 2: $50,000

Cash flows for Year 3: $60,000

Project H:

Initial investment: -$120,000

Cash flows for Year 1: $60,000

Cash flows for Year 2: $50,000

Cash flows for Year 3: $40,000

To calculate the present value of cash flows, we need to discount them using an appropriate discount rate. The discount rate represents the required rate of return or the cost of capital for the company. Let's assume a discount rate of 10%.

Using the formula method, we can calculate the present value (PV) of each cash flow and sum them up to obtain the NPV for each project:

For Project E:

PV = $40,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $60,000/(1 + 0.10)^3

PV = $36,363.64 + $41,322.31 + $45,454.55

PV = $123,140.50

For Project H:

PV = $60,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $40,000/(1 + 0.10)^3

PV = $54,545.45 + $41,322.31 + $30,251.14

PV = $126,118.90

Using the financial calculator method, we can input the cash flows and the discount rate to calculate the NPV directly. By entering the cash flows for each project and the discount rate of 10%, we find that the NPV for Project E is approximately $123,140.50 and the NPV for Project H is approximately $126,118.90.

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The function that models each variation is a) y = 100/x. When x = 10: y = 100/10 = 10. b) y = -80/x. When x = 10: y = -80/10 = -8.

When one variable rises, the other one falls, and vice versa, two variables are negatively correlated. This indicates that the two variables' product has a fixed value. In other words, we may express the relationship between two inversely varying variables, x and y, as follows:

xy = k

where k is a proportionality constant. To maintain the same value of the product when one variable rises, the other must fall. Inverse variation examples include the link between the amount of time required to go a certain distance at a constant pace or the amount of workers required to finish a task in a certain amount of time.

If y varies inversely with x, we can write the relationship as:

y = k/x

a) When x = 20 and y = 5:

5 = k/20

k = 100

Substituting k we have:

y = 100/x

When x = 10:

y = 100/10 = 10

b) When x = 20 and y = -4:

-4 = k/20

k = -80

Substituting k we have:

y = -80/x

When x = 10:

y = -80/10 = -8

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Step-by-step explanation:

-coefficent=1

-collect like terms /variables

-add numbbers (1+2)=3p

Answer:

1

Step-by-step explanation:

(p+q)(p-q)/(p+q)(p-q)=1

[It is an identity : a²-b²= (a+b)(a-b)]

Hope this will help:)

Answer:

18

Step-by-step explanation: