Evaluate x/y for x=1/6 and y=1/3.

1/18
1/2
1/9
9

Answer:

6 km/hr

Step-by-step explanation:

Let \(v_1\) and \(t_1\) be the average speed and the time of travel of the container ship, and \(v_2\) and \(t_2\) be the average speed and the time of travel of the aircraft carrier.

As the aircraft carrier left 6 hours later traveling 9 km/h faster in an effort to catch up to it and after 4 hours the aircraft carrier finally caught up.

\(v_2=v_1 +9\)

\(t_2= 4\) hr

and \(t_1-t_2=6+t_2=6+4=10\) hr

As the distance covered by both is same, so

\(v_1t_1=v_2t_2\)

\(\Rightarrow v_1\times 10= (v_1+9)4\)

\(10v_1=4v_1+36\)

\(6v_1=36\)

\(v_1=6\) km/hr

Hence, the speed of the container ship is 6 km/hr.

Answer:

Can you give me any more context?

Answer:

21

Step-by-step explanation:

because 7 day or in a week so 7 time 3 = 21

Answer:

21

Step-by-step explanation:

Becasue there are 7 days in a week, So use and time 7x3 and you will get 21 multiplication.

Answer:

Hey! so the answer is X=7 and Y=6

Step-by-step explanation:

if you look at the pattern you'll see it adds up to 7 and 6 everytime so those are the answers.

Hoped this helped Im Eve btw. Hope you have a great day and consider marking this brainliest Thank you so much if you do! ✨

Answer:

2.08 this is answer

Answer: Sure, here are the mathematical expressions for each phrase:

Let L be the original length, then the new length is L + 10 meters.

Let p be the original price of the shirt, then the cost after the discount is p - 0.3p = 0.7p.

Let p be the original price of the item, then 25% of the original price is 0.25p.

Let V be the original volume of water in the container, then the new volume is V + 5L.

Let r be the radius of a circle, then twice the product of x and the radius is 2xr.

Let X be Xavier's rate, then the rate that is two kph faster than Xavier's rate is X + 2 kph.

Step-by-step explanation:

Answer:

1/4 or 0.25

Step-by-step explanation:

The amount you could save per month would be 25% of your discretionary money.

Discretionary income is the money you have left over after paying taxes and necessary cost-of-living expenses.

The formula for discretionary money is: Discretionary money = Realized income - Fixed expenses. Inputting data, we have: Discretionary money = $3,543.22 - Fixed expenses

Amount to be saved = 25% of discretionary money

Amount to be saved = 0.25 * (Realized income - Fixed expenses)

Therefore, the amount savable is calculated as 0.25 times the difference between your realized income and fixed expenses.

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Answer:

Therefore, the book value of the equipment at the end of year four (including year four) is $2,880.

Step-by-step explanation:

To calculate the book value of the equipment at the end of year four using the MACRS method with GDS recovery period of five years, we can use the following steps in Excel:

1. Open a new Excel spreadsheet and create the following headers in row 1: Year, Cost, Depreciation Rate, Annual Depreciation, Cumulative Depreciation, and Book Value.

2. Fill in the Year column with the years 1 through 6 (since the truck has a life of six years).

3. Enter the cost of the truck, $12,000, in cell B2.

4. Use the following formula in cell C2 to calculate the depreciation rate for each year:

=MACRS.VDB(B2, 5, 5, 1, C1)

This formula uses the MACRS.VDB function to calculate the depreciation rate for each year based on the cost of the truck (B2), the GDS recovery period of five years, the useful life of six years, the salvage value of $2,000, and the year (C1).

5. Copy the formula in cell C2 and paste it into cells C3 through C7 to calculate the depreciation rate for each year.

6. Use the following formula in cell D2 to calculate the annual depreciation for each year:

=B2*C2

This formula multiplies the cost of the truck (B2) by the depreciation rate for each year (C2) to get the annual depreciation.

7. Copy the formula in cell D2 and paste it into cells D3 through D7 to calculate the annual depreciation for each year.

8. Use the following formula in cell E2 to calculate the cumulative depreciation for each year:

=SUM(D$2:D2)

This formula adds up the annual depreciation for each year from D2 to the current row to get the cumulative depreciation.

9. Copy the formula in cell E2 and paste it into cells E3 through E7 to calculate the cumulative depreciation for each year.

10. Use the following formula in cell F2 to calculate the book value of the equipment for each year:

=B2-E2

This formula subtracts the cumulative depreciation for each year (E2) from the cost of the truck (B2) to get the book value.

11. Copy the formula in cell F2 and paste it into cells F3 through F7 to calculate the book value for each year.

12. The book value of the equipment at the end of year four (including year four) is the value in cell F5, which should be $2,880.

The above question is related to probability and has seven possible choices. The question requires finding the probabilities of selecting the correct and incorrect choices in different scenarios, such as selecting a choice randomly or after eliminating two of the options. To solve the question, we need to use basic probability concepts and formulas, such as the formula for probability, which is the number of favorable outcomes divided by the total number of possible outcomes.

(a) The probability of selecting the correct choice is 1/7 or approximately 0.143.

(b) The probability of selecting an incorrect choice is 6/7 or approximately 0.857.

(c) If two choices are eliminated, there will be five remaining choices, and the probability of selecting the correct choice will be 1/5 or approximately 0.2.

(d) If two choices are eliminated, there will be five remaining choices, and the probability of selecting an incorrect choice will be 4/5 or approximately 0.8.

It's crucial to remember that while deleting options might enhance the likelihood of picking the correct option, it can also raise the likelihood of selecting an erroneous option if the deleted options were more likely to be inaccurate. In each instance, the overall chance of making a correct or bad decision is always 1.

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In a 2 x 3 factorial design, the numbers 2 and 3 represent the levels of the first and second factors, respectively. Therefore, there are 2 levels in the first factor and 3 levels in the second factor.

In a factorial design, the numbers 2 and 3 do not directly represent the levels of the factors. The numbers indicate the number of levels present in each factor.

In a 2 x 3 factorial design, the "2" represents the number of levels in the first factor, and the "3" represents the number of levels in the second factor.

For example, let's say the first factor is "A" and it has two levels: Level 1 and Level 2. The second factor, "B," has three levels: Level 1, Level 2, and Level 3. The design would then involve combinations of these levels such as A1B1, A1B2, A1B3, A2B1, A2B2, and A2B3.

So, in a 2 x 3 factorial design, there are 2 levels in the first factor and 3 levels in the second factor, leading to a total of 6 unique combinations or cells.

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To find the arc length of the curve y = (1/6)x^3 + (1/2)x on the interval [1/2, 2], we can use the arc length formula:

L = ∫[a,b] √(1 + \((dy/dx)^2\)) dx,

where dy/dx represents the derivative of y with respect to x.

First, let's find the derivative of y:

dy/dx = (1/2)\(x^{2}\) + (1/2).

Next, we can square the derivative:

\((dy/dx)^2 = ((1/2)x^2 + (1/2))^2 = (1/4)x^4 + (1/2)x^2 + (1/4).\)

Now, we substitute the derivative into the arc length formula and integrate:

L = ∫[1/2,2] √(1 + (1/4)\(x^{4}\) + (1/2)\(x^{2}\) + (1/4)) dx.

Using numerical integration methods such as the trapezoidal rule or Simpson's rule, we can estimate the arc length. Using a numerical integration method, the approximate value of the arc length is found to be L ≈ 2.112. Therefore, the arc length of the curve y = (1/6)\(x^{3}\)+ (1/2)x on the interval [1/2, 2] is approximately 2.112 units.

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If an IR signal has a percent transmittance of 45%, then the sample absorbed 55% of the IR light

The percent transmittance of an IR signal = 45%

The equation of percent transmittance is

Percent transmittance = ( I / Io ) × 100

Where Io is the intensity of the IR signal entering the sample

I is the intensity of the IR signal leaving the sample

If the Io = I, then the percent transmittance is 100% that means the sample did not absorb any light and if Io= 0 then the the percent transmittance is 0% then sample absorbed all the light

Here, the percent transmittance is 45%, that mean the 55% of light absorbed by the sample

Therefore, the sample absorbed 55% of the IR light

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Answer:

la respuesta esta abajo

Step-by-step explanation:

Recibió 7 paquetes de 1 kg de azúcar, de ahí el peso total del azúcar = 7 paquetes * 1 kg = 7 kg.

Además, recibió 12 paquetes de 1/4 kg de yerba. Por lo tanto el peso total de la yerba = 12 paquetes * 1/4 kg = 3 kg.

Por último, se recibieron 10 cajas de 1/2 kg de leche en polvo. El peso total de la leche = 10 cajas * 1/2 kg = 5 kg

Por lo tanto:

peso total de los artículos recibidos = 7 kg + 3 kg + 5 kg = 15 kg

Dado que hay cuatro estantes para distribuir uniformemente con el mismo peso, el peso en cada estante = 15 kg / 4 = 3.75

El arreglo es el siguiente:

estante 1 - 2 paquetes de azúcar, 3 cajas de leche y 1 paquete de yerba

estante 2 - 2 paquetes de azúcar, 3 cajas de leche y 1 paquete de yerba

estante 3 - 2 paquetes de azúcar, 3 cajas de leche y 1 paquete de yerba

estante 4 - 1 paquete de azúcar, 1 caja de leche y 9 paquete de yerba

Answer:

C 35 hours

Explanion

5.25+4.75=10 every two days

10/2=5 hours a day

5x7=35 hours a week

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By measuring the change in the water level, we can calculate the volume of the irregular object.

To find the volume of an irregular object using a graduated cylinder, first, fill the graduated cylinder with a known volume of water. Carefully place the irregular object into the cylinder, making sure it is fully submerged in the water.

Observe the new water level in the graduated cylinder and record it. The difference between the initial and final water levels represents the volume of the irregular object.

To explain further, a graduated cylinder is a cylindrical container with volume markings along its side. It is often used in laboratories to measure the volume of liquids.

However, it can also be used to find the volume of irregularly shaped solid objects. By utilizing the principle of displacement, the volume of the object can be determined.

When the object is placed into the graduated cylinder filled with water, it displaces an amount of water equal to its own volume. This causes the water level to rise.

By measuring the change in the water level, we can calculate the volume of the irregular object.

It's important to ensure that the object is fully submerged and that no air bubbles are trapped, as this can affect the accuracy of the measurement.

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Answer:

ok so first i want to figure out what 2/5 converted to percent is......

you can find it out on a calculator or on paper by dividing 2 / 5 = 0.4

so this is 40% and if it takes him half a minute to do this, it takes him about 30 seconds to finish 40% of the essay and there is a full 60% still waiting to be done, so lets see,

40% + 40% = 80%

so that is about 1 full minute to write 80% we are still left with 20% so let's see how much time does it take to write 20% of the essay, in 40% it takes 30 seconds and in 80% it takes 60 seconds. So since 20% is half of 40% then we must divide the time in half so 30 / 2 = 15

So if we add all these numbers up it equals 1:15 minutes to write an essay

I hope this helps and please mark brainliest if i got it right!

The time taken by Ben to write a full page will be 1:15 minutes.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

you can find it out on a calculator or on paper by dividing 2 / 5 = 0.4

So this is 40% and if it takes him half a minute to do this, it takes him about 30 seconds to finish 40% of the essay and there is a full 60% still waiting to be done, so let's see,

40% + 40% = 80%

so that is about 1 full minute to write 80% we are still left with 20% so let's see how much time it takes to write 20% of the essay, in 40% it takes 30 seconds and in 80% it takes 60 seconds. So since 20% is half of 40% then we must divide the time in half so 30 / 2 = 15

Therefore, the time takes Ben to write a full page will be 1:15 minutes.

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Answer:

\(x=\frac{9}{2}\)

Step-by-step explanation:

\(2x=9 \implies x=\frac{9}{2}\)

Answer:

c

Step-by-step explanation:

The correct choice is (e) All of the above is a property for all LP problems.

All Linear Programming (LP) problems have a linear objective function that is to be maximized or minimized (property a), a set of linear constraints (property b), and decision variables (property c). Additionally, LP problems require variables that are all restricted to nonnegative values (property d). Therefore, all of the given properties are true for all LP problems, making option (e) the correct choice.

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Answer:

X=13

Step-by-step explanation:

So if ΔABC ≅ ΔDEC, then that means that ∠B is ≅ ∠E. Therefore you would write the equation 3x=6x-39 and solve for X to get 13.

Answer:

125

Step-by-step explanation:

There are four right angles in a triangle so i divided 500 by 4

The polar equation r = sin(θ) can be expressed in rectangular coordinates as x = sin(θ) and y = sin(θ).

In polar coordinates, a point is represented by its distance from the origin (r) and the angle it forms with the positive x-axis (θ). To convert the equation r = sin(θ) to rectangular coordinates, we need to express the polar coordinates (r, θ) in terms of rectangular coordinates (x, y).

Using the trigonometric identity sin(θ) = y/r, we can rewrite the equation as y = r * sin(θ). Since the given equation is r = sin(θ), we substitute sin(θ) for r in the expression for y, giving us y = sin(θ) * sin(θ). Simplifying this expression further, we get y = sin²(θ).

To find the value of x, we can use the trigonometric identity cos(θ) = x/r. Rearranging this equation, we get x = r * cos(θ). Substituting sin(θ) for r, we have x = sin(θ) * cos(θ). By using the double-angle identity for sine, we can rewrite this expression as x = (1/2) * sin(2θ).

Therefore, the polar equation r = sin(θ) can be converted to rectangular coordinates as x = (1/2) * sin(2θ) and y = sin²(θ).

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The savings plan balance after 18 months will be 15,028.63 dollars.

So the answer is a) $15,028.63

What is the annuity problem?

An annuity is a series of equal payments made at regular intervals.

APR (Annual Percentage Rate) = 6%

Monthly payments = $800

Number of months = 18

We can use the formula for the future value of an annuity (FV) to find the savings plan balance after 18 months. The formula for the future value of an ordinary annuity is:

FV = PMT x (((1 + r)^n - 1) / r)

Where:

FV = future value of the annuity

PMT = the regular payment made

r = the interest rate per period (in this case, the monthly interest rate)

n = the number of payments or periods

The interest rate is given as an annual percentage rate (APR), so we need to divide it by the number of periods per year to find the interest rate per period. In this case, 6% / 12 months/year = 0.5% per month.

FV = 800 x (((1 + 0.005)^18 - 1) / 0.005)

FV = $15,028.63

Hence, the savings plan balance after 18 months will be 15,028.63 dollars.

So the answer is a) $15,028.63

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Answer:

A

Step-by-step explanation:

Answer:

52ft

Step-by-step explanation:

You divide the box in 2 pieces and multiply the numbers by the separate boxes that you made, then you add them.

5x2= 10

8-2= 6 -----> 7x6= 42

10 + 42 = 52

Answer: The first box is 56 The second box is 4 and the last is 52

Step-by-step explanation: The total area of the full rectangle is 8×7=56

The area of the small cut out portion is 2×2=4

The area of the remaining figure is 56-4=52

Answer:

  29.4 °F

Step-by-step explanation:

There are ten thousands in 10,000. (Amazing, eh?) So, the temperature will drop by 10 × 1.9 °F = 19 °F.

A drop of 19 °F from 48.4 °F is ...

  48.4 -19 = 29.4

The temperature at 10,000 ft will be 29.4 °F.

Answer:

44.9 yds

Step-by-step explanation:

False. The columns of matrix P are not necessarily eigenvectors of matrix A. While the diagonal matrix D contains the eigenvalues of A, the eigenvectors are not explicitly determined by the columns of P.

False. The columns of matrix P are not guaranteed to be eigenvectors of the transpose of matrix A (A.T).

In the given equation, \(a = PDP^(-1),\)

where D is a diagonal matrix and P is an invertible matrix.

The diagonal elements of D represent the eigenvalues of matrix A, while the columns of P correspond to the eigenvectors of A.

When considering the transpose of matrix A (A.T), we have \((A.T) = (PDP^(-1)).T = (P^{(-1)})^T D^T P^T.\)

Taking the transpose of a product involves reversing the order of the matrices and transposing each matrix individually.

Therefore, we have \((A.T) = P^T D^T (P^{(-1)})^T.\)

Since P is an invertible matrix, its transpose \(P^T\) is also invertible. Similarly, the transpose of the inverse of \(P, (P^{(-1)} )^T,\) is also invertible.

However, the key point is that the diagonal matrix\(D^T\) is not guaranteed to have the same eigenvalues as matrix A.

The eigenvalues of A are present in D, but they may not remain on the main diagonal after transposing.

Thus, the columns of matrix P, which correspond to the eigenvectors of A, may not necessarily be the eigenvectors of A.T.

In conclusion, the statement is false.

The columns of matrix P do not have to be eigenvectors of the transpose of matrix A (A.T).

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