let a d f1; 2g, b d fa; b; c; dg, and c d f1; a; bg. use the roster method to list all of the elements of each of the following sets: (a) a b (b) b a (c) a c (d) a 2 (e) a .b \ c /

Answer: ellipse

Step-by-step explanation:

on edge you can graph it too if you want to check.

Answer:

1200 units 30 times 40 is 1200

1200 sq units

hope this helps

When two painters work together to paint the roof of a big house, they can complete the task in approximately 2.4 days.

The first painter estimates that it will take him 12 days to complete the job alone, while the second painter estimates it will take him 4 days alone. To determine how long it will take them to paint the roof together, we can use the concept of their individual work rates.

Let's denote the first painter's work rate as "P1" (amount of work done per day) and the second painter's work rate as "P2". The formula for their combined work rate when working together is given by:

1/(P1 + P2) = 1/12 + 1/4.

To simplify the equation, we can find a common denominator:

1/(P1 + P2) = 1/12 + 3/12 = 4/12 = 1/3.

Now, we can solve for the combined work rate:

P1 + P2 = 3.

Since we know that the first painter can complete the job alone in 12 days, his work rate is 1/12. Substituting this value into the equation, we can solve for the second painter's work rate:

1/12 + P2 = 3,

P2 = 3 - 1/12,

P2 = 35/12.

Now that we have the individual work rates, we can determine how long it will take them to complete the job together:

1/(1/12 + 35/12) = 1/(36/12) = 12/36 = 1/3.

Therefore, when the two painters work together, they can paint the roof of the big house in approximately 2.4 days.

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Answer:

2, 3, 7 or 8

Step-by-step explanation:

According to given information, the ratio of white keys to black keys is 5:2.

In mathematics, a ratio is a comparison of two quantities or values. It expresses how many times one quantity is contained in another. Ratios can be written in the form of a fraction, using a colon, or using the word "to".

The ratio of black keys to white keys is 6:15. To find the ratio of white keys to black keys, we can write the same ratio in terms of white keys first, then simplify it.

The ratio of white keys to black keys can be found by inverting the ratio of black keys to white keys, which gives:

15:6

We can simplify this ratio by dividing both the numerator and denominator by the greatest common factor, which is 3. Dividing by 3 gives:

5:2

Therefore, the ratio of white keys to black keys is 5:2.

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Answer:

7x

Step-by-step explanation:

Hope this Helps

4(3)(2)/2 + 2² = 12 + 4 = 16

Answer:

y = ax^2 + bx + c is the formula of parabola

When a > 0, parabola opens up

When a < 0, parabola opens down

The 15th term is 240. the 10th term is 90

Arithmetic sequence is a sequence where each consequtive term has a common constant difference.

An arithmetic sequence, therefore, is defined by two parameters, viz. the starting term and the common difference.

We are given that the nth stern of a sequence is n(n - 1)

For the 10th term

n=10

Then we get;

n(n-1) =10(10-1) = 10(9)

= 90

Now,

n (n - 1) = 240

n² - n - 240 = 0

n  = [-1 ± √1² - 4(1)(240)]/2

Here, a = 1, b = -1 and c = - 240

n = 15

The 15th term is 240. the 10th term is 90

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Answer:

the answer is A

Step-by-step explanation:

hope it helps ♡

The degree of financial leverage for Foggy Futures Weather Forecasters

is 1.06

Degree of Financial leverage (DFL) = (EBIT) / (EBT)

Earnings Before Interest and Taxes (EBIT) = $750,000

Amount to be given as loan on $1000000

$1,000,000 x 4.5% = $1,000,000 x 4.5/100

= $45000

To find EBT ( Earnings Before Tax),

EBT = EBIT - 45000

       = 750000 - 45000

EBT = 705000

∴ DFL =  (EBIT) / (EBT)

          = 750000/705000

 DFL = 1.06

The DFL is a percentage that accountants and financial professionals use to show changes in a company's net income due to changes in its profits before interest and taxes (EBIT).

Earnings before interest and taxes (EBIT) is a measurement of a company's profit in accounting and finance that takes into account all revenues and costs (both operating and non-operating), with the exception of interest costs and income tax costs.ve

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Answer:

The answer is 11,316,108

Step-by-step explanation:

\(58^{4} - 388\)

(58)(58)(58)(58) - 388

11,316,496 - 388

= 11,316,108

Answer:

b =  3.55 to the nearest hundredth.

Step-by-step explanation:

b / sin B = c / sin C

b / sin 45 = 5 / sin 95

b = 5 sin 45 / sin 95

= 3.549.

Answer:

\( - b + 8 \\ - 3 + 8 = 5\)

I hope I helped you^_^

Answer:

8

Step-by-step explanation:

-b + 8

= -3 + 8 = 5

Answer:

como proporción de dos tipos de tela es diferente.

por lo tanto, la relación entre el número de yardas cuadradas y el costo

no es proporcional entre los dos tipos de tejido

Explicación paso a paso:

Para que una relacion sea proporcional

a:b = c:d

en otra forma

a/b = c/d

______________________________________________

Proporción para el primer tipo de tejido

costo de tela/ área de tela = 31.25/5 = 6.25

Ratio para otro tipo de tejido

costo de tela/ área de tela = 71.50/11 = 6.5

como proporción de dos tipos de tela es diferente.

por lo tanto, la relación entre el número de yardas cuadradas y el costo

no es proporcional entre los dos tipos de tejido

Step-by-step explanation:

Answer:

The first option

Step-by-step explanation:

You do 1.68/3 and get .56

meaning that each can in the 3 pack is .56 cents

Next do 2.45/5 to get .49

meaning that each can in the 5 pack is .49 cents

which means that the 5 cans is a better buy

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

We have,

a) To calculate the pressure in the production well at 12 hours of a shut-in, we can use the equation for pressure transient analysis during shut-in periods, known as the pressure buildup equation:

P(t) = Pi + (Q / (4πKh)) * log((0.14ϕμCt(t + Δt)) / (Bo(ΔP + Δt)))

Where:

P(t) = Pressure at time t

Pi = Initial reservoir pressure

Q = Flow rate

K = Permeability

h = Reservoir thickness

ϕ = Porosity

μ = Viscosity

Ct = Total compressibility

t = Shut-in time (12 hours)

Δt = Time since the start of the flow period

Bo = Oil formation volume factor

ΔP = Pressure drop during the flow period

Given:

Pi = 3100 psi

Q = 200 STB/day

K = 45 md

h = 60 ft

ϕ = 15%

μ = 1.2 cp

Ct = 15x10^-6 psi^-1

Bo = 1.3 bbl/STB

t = 12 hours

Δt = 48 hours

ΔP = Pi - P(t=Δt) = Pi - (Q / (4πKh)) * log((0.14ϕμCt(Δt + Δt)) / (Bo(ΔP + Δt)))

Substituting the given values into the equation:

ΔP = 3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15x\(10^{-6}\) * (48 + 48)) / (1.3 * (3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15 x \(10^{-6}\) * (48 + 48)) / (1.3 * (0 + 48))))))

After evaluating the equation, we can find the pressure in the production well at 12 hours of shut-in.

b) Superposition in time is a principle used in pressure transient analysis to analyze and interpret pressure build-up tests.

It involves adding or superimposing the responses of multiple transient tests to simulate the pressure behavior of a reservoir.

The principle of superposition states that the response of a reservoir to a series of pressure changes is the sum of the individual responses to each change.

Superposition allows us to combine the information obtained from multiple tests and obtain a more comprehensive understanding of the reservoir's behavior and properties.

It is a powerful technique used in reservoir engineering to optimize production strategies and make informed decisions regarding reservoir management.

Thus,

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

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X out of the first 1000 terms are divisible by 4.

Mathematically, the word divisibility means that a number goes evenly (with no remainder) into a number.

To get how many terms in the sequence are divisible by 4, we need to generate the sequence and check each term.

Let us generate sequence up to 1000th term:

1, 1, 2, 3, 5, 8, 13, 21, ...

To get next term, we will add last two terms:

21 + 13 = 34

Continuing this process, we can generate the sequence up to the 1000th term. Therefore, by generating the sequence, we find that X out of the first 1000 terms are divisible by 4.

Full question:

The sequence 1,1,2,3,5,8,13,21 has the property that each term (starting with the third term) is the sum of the previous two terms. How many of the first 1000 terms are divisible by 4?

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Answer:

The third graph is correct for the inequality 2x + 3y > -3

Step-by-step explanation:

The slope of the graph is –2/3.

The y-intercept is –1

The area above the dashed be line is shaded.

To verify, choose a coordinate in the shaded area, substitute the values for x and y. Calculate and check.

For example: (1,1)

2(1) + 3(1) > –3

2 + 3 > –3

5 > –3 True.

The graph that represents \(2x + 3y > -3\) is (3)

The inequality is given as:

\(2x + 3y > -3\)

Subtract 2x from both sides of the inequality

\(3y > -3 -2x\)

Divide through by 3

\(y > -1 -\frac 23x\)

Rewrite the inequality as follows:

\(y > -\frac 23x-1\)

The above inequality means that:

Hence, the graph that represents \(2x + 3y > -3\) is (3)

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The possible dimensions (length and width) of the field are:(10 m × 13 m) or (13 m × 10 m) and (11 m × 12 m) or (12 m × 11 m).

Given that Aaron has 47m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. The fourth side of the enclosure would be the river.

The area of the land is 266 square meters.To find the possible dimensions (length and width) of the field, we can use the given information.The length of fencing required = 47 m.

Since the fence needs to be built on three sides of the rectangular plot, the total length of the sides would be 2l + w = 47.1. When l = 10 and w = 13, we have:

Length of the field, l = 10 m Width of the field, w = 13 mArea of the field = l × w = 10 × 13 = 130 sq. m2. When l = 11 and w = 12,

we have:Length of the field, l = 11 m

Width of the field, w = 12 m

Area of the field = l × w = 11 × 12 = 132 sq. m

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Answer:

answer is 63

Step-by-step explanation:

Your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal from linear equation concept.

For your vacation at the beach, you have already spent $160 on groceries for the week. In addition, you anticipate spending $40 each time you eat out.

To determine your overall budget for the vacation, you need to consider how many times you plan to eat out during the week. Let's say you plan to eat out 'x' number of times.

Since each time you eat out costs $40, the total amount spent on eating out can be represented by the equation:

Total spent on eating out = $40 * x

Adding this to the amount spent on groceries, the total vacation budget can be calculated as:

Total budget = Amount spent on groceries + Total spent on eating out

Total budget = $160 + ($40 * x)

For example, if you plan to eat out 3 times during the week, the calculation would be:

Total budget = $160 + ($40 * 3)

Total budget = $160 + $120

Total budget = $280

In this case, your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal.

The total budget will vary depending on the number of times you plan to eat out. By adjusting the value of 'x', you can calculate the specific total budget for your vacation.

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Answer:

hi hi hi

Step-by-step explanation:

hi hi

Answer:

okay since there isn't a picture to work with, im going to assume that there is a circle inscribed in a square with a side length of 28, and all the sides of the square are tangent to the circle.

So if you need the area of just the circle, that is 615.75 in^2

If you need the area of the square, but not including the circle 168.25 in^2

And if you need the area of the whole square 784 in^2

Step-by-step explanation:

It is most likely the second one, but answer based what you see in the diagram.

Answer:

a. ΔABC is an isosceles triangle

b. ΔABC is a right triangle

c. The perimeter of ΔABC is approximately 10.8

Step-by-step explanation:

The given vertices of the polygon, are;

A(1, 4), B(4, 5), C(5, 2)

By observation of the differences of the coordinates of the given points, the points are non-linear, as the rate of increase in the y-values, for a given increase in the x-value, is not constant

The length of segments of the triangle ΔABC are found using the formula for finding the distance, 'd', between points given their coordinates, (x₁, y₁), (x₂, y₂), as follows;

\(d = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}\)

The length of segment, \(\overline {AB}\) = √((5 - 4)² + (4 - 1)²) = √10

The length of segment, \(\overline {AC}\) = √((2 - 4)² + (5 - 1)²) = √20

The length of segment, \(\overline {BC}\) = √((2 - 5)² + (5 - 4)² = √10

The length of segment, \(\overline {AB}\) = The length of segment, \(\overline {BC}\), therefore, ΔABC is an isosceles triangle by definition of an isosceles triangle which is a triangle that have two sides of equal length

ΔABC is an isosceles triangle

b. According to Pythagoras' theorem, the sum of the squares of the two shorter sides (the legs) of a right triangle = The square of the length of the longest side

In if triangle ΔABC is a right triangle, we should have;

\(\overline {AB}\)² + \(\overline {BC}\)² = \(\overline {AC}\)²

Checking gives;

(√10)² + (√10)² = 10 + 10 = 20 = (√20)²

Whereby \(\overline {AB}\)² (= (√10)²) + \(\overline {BC}\)² (= (√10)²) = (√20)² = \(\overline {AC}\)², ΔABC is a right triangle

ΔABC is a right triangle

c. The perimeter of ΔABC = The length of segment, \(\overline {AB}\) + The length of segment, \(\overline {AC}\) + The length of segment, \(\overline {BC}\)

∴ The perimeter of ΔABC = √10 + √10 + √20 ≈ 10.7966912753

By rounding off to the nearest tenth, the perimeter of ΔABC ≈ 10.8.

Yahtzee is a game of chance like dice or poker. The numbers of ways the outcomes ( straight rolling ) is 240 .

Probability of hitting a large straight is 240 / 7776 = 1/32

Yahtzee is the one of dice game that uses five standard six-sided dice. After rolling each die, the player can decide which die to keep and which to reroll. Goals include many different types of combinations, many of which originate from poker.

The two types of combinations that players must roll are called roads: small roads and large roads. Similar to poker straights, these combinations consist of consecutive dice. A small straight uses 4 out of the 5 dice and a large straight uses all 5 dice. Since the dice rolls are random, we can use probability to analyze the likelihood of hitting large straight on a single roll. Assumes that the dice used are fair and independent of each other. Now, you need to know how many ways you can roll a big/ large straight. Here it is more difficult than calculating the sample size. Big straights are harder to roll than small straights, but it’s easier to count the number of times you’ve rolled a big straight than the number of times you’ve rolled a small straight.

Next, determine the number of ways to get a straight by rolling the given dice. To get a nice straight with dice {1, 2, 3, 4, 5}, you can arrange the dice in any order. It turns out that you just swap the five dice. There are 5! = 120 ways to do this. There are two dice combinations that form the large Straight, each with 120 ways to roll, so there are 2 x 120 = 240 ways to roll the large Straight.

Now the probability of hitting a big/ large straight can be calculated with simple division. Since there are 240 ways to get the big straight in one roll, and 7776 rolls 5 dice, the odds of getting the big straight are 240/7776, close to 1/32, and lie 3.1%.

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My reactions to this:

???

My notes to you:

This is confusing... (At least for me it is...)

Answer:

X= 6.6

Length of de = 16.2

Step-by-step explanation: