Which is the best interpretation of the solution set for the compound inequality?

3/2x-1 –10
x < 4
all real numbers
ANSWER FAST, I WILL MARK BRAINLIEST, AND WILL GET 100 POINTS

Answer:

I hope this helps!

Answer:

$0,051667

Step-by-step explanation:

$2.17 / 42 = $0.051667/1spoon

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[tex]10^{-6}[/tex] * (48 + 48)) / (1.3 * (3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15 x [tex]10^{-6}[/tex] * (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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Answer:

D

Step-by-step explanation:

plug in the x values each time and solve for f(x) which is also known as the y value.

f(x)=y

Answer:

D?

Step-by-step explanation:

Answer:

g(5) = 15

Step-by-step explanation:

g(5) - This means you substitute the number 5 into the variable a.

So: g(5) = 5 + 10

g(5) = 15

Answer: -276.2 ft.

Step-by-step explanation: He descended 91 x 4.5 which is -409.5 ft. But since she goes up 43 x 3.1 which is 133.3 ft, -409.5 + 133.3 = -276.2 ft.

Hope this helps! :)

Answer:

  T/V = P/(nR)

Step-by-step explanation:

You want to find T/V from the equation PV = nRT.

T is in the numerator of the ratio you want. V is on the other side of the equation from T, so you can put V in the denominator by dividing both sides of the equation by V:

  [tex]P=\dfrac{nRT}{V}[/tex]

Now, you can get the ratio T/V by itself by dividing by its coefficient:

  [tex]\dfrac{P}{nR}=\dfrac{T}{V}[/tex]

Swapping sides gives you the relation you want:

  [tex]\boxed{\dfrac{T}{V}=\dfrac{P}{nR}}[/tex]

__

Additional comment

Isolating variables and solving equations using the properties of equality should be familiar processes.

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Answer:

=8r+8

Step-by-step explanation:

Gross Profit Margin (GPM) is a metric used to calculate the percentage of gross profit earned by a business on its sales. The gross profit is calculated as revenue minus cost of goods sold (COGS), and the formula for gross profit margin is:(Gross Profit ÷ Revenue) x 100%.

The gross profit margin reveals the percentage of sales that turn into gross profit. A company with a higher gross profit margin has a better chance of generating a good profit than one with a lower gross profit margin. The gross profit margin formula allows companies to determine how much revenue is remaining to cover operating expenses and net profit. In computing gross profit margin, the following steps should be taken:

First, calculate gross profit as follows: Revenue - Cost of Goods Sold (COGS) = Gross Profit.

Then, use this formula to compute gross profit margin: Gross Profit ÷ Revenue x 100%.

The gross profit margin is an important ratio used to assess a company's profitability. It is important because it reflects the percentage of sales that contribute to covering operating expenses and generating net profits. A higher gross profit margin ratio indicates that a company is earning enough on sales to cover its operating expenses and generate profits.However, one of the major drawbacks of using gross profit margin as a profitability metric is that it does not account for operating expenses. This is why it is important to calculate other profitability metrics, such as operating profit margin, to gain a complete picture of a company's profitability.It is also important to compare gross profit margins over time and with industry averages to determine how a company is performing relative to its peers. A declining gross profit margin may indicate increasing costs, pricing pressures, or a shift in product mix. Conversely, an increasing gross profit margin may suggest that the company has a competitive advantage, pricing power, or is reducing its costs.

In summary, the gross profit margin measures the percentage of revenue that contributes to gross profit. A higher gross profit margin indicates that a company is earning enough on sales to cover its operating expenses and generate profits. However, it is important to compare gross profit margins over time and with industry averages to determine how a company is performing relative to its peers. Finally, it is important to use other profitability metrics, such as operating profit margin, to gain a complete picture of a company's profitability.

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Answer:

the 2nd answer choice

Answer:

Hey, its B. This ordinance made is so that new states could be added to the US.

Step-by-step explanation:

The law provided for the method by which new territories would be admitted to the United States. The government intended to encourage westward expansion.

Answer:

The exponent is negative

The exponent represents the number of places the decimal moves

The decimal moves to the right

Step-by-step explanation:

Representing numbers in scientific notion involves representing decimals or large numbers in exponential form. The true statements about the expression are :

Since the value is a decimal below 1 ; then it will have a negative exponent.

The number of decimal places moved will be the value of the exponent raised to a negative value in this scenario.

For each exponent, the decimal starts to move to the right.

Hence, only the three statements are correct.

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Answer:

81

Step-by-step explanation:

You r multiplying by three's

Answer:

81.

Step-by-step explanation: The pattern in this scenario would be multiplying the previous number by -3. (1 x -3 = -3, -3 x -3 x 9, etc.). Using this information, we know that multiplying the last number (27) by -3 would be the correct equation, yielding 81. Hope this helps!

Step-by-step explanation:  Add them all and divide by 5 and then you get 54.

To estimate the maximum error in the area A of the carpet, use the Linear Approximation. Let's use a differentiable function:

f(s) = s². When s = 2 feet, A = f(s) = s² = 4 square feet.

The change in s, Δs = 0.7 inches. We can convert that to feet and get the linear approximation:Δs = 0.7 in = 0.7/12 ft = 0.05833 ft.

A better approximation of the new area A is given by

ΔA = f′(s) Δs = 2s Δs

Since f′(s) = 2s,ΔA = 2s Δs = 4 Δs.

Since s = 2 ft and Δs = 0.05833 ft, we have that the maximum error in A is given by

|ΔA| ≤ 4 Δs = 4(0.05833) = 0.2333 square feet.

Therefore, the maximum error in the area of the carpet is 0.2333 square feet.

The side s of a square carpet is measured at 2 ft, and it's accurate to 0.7 inches. The maximum error in the area A of the carpet is 0.2333 square feet.

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Answer: 64

Explanation: All of the numbers are quite close to one another. The number farthest apart from them all would be 64 with a difference of 15. Also, it's visibly shown how there are the 20s, 30s, and 40s, but it skips quickly to the 60s.

I hope this helped!

Good luck <3

Answer:

Because parallelograms can be divided into two equal triangles of different orientations.

Step-by-step explanation:

Rotation is a process in which a given shape or point is turned about a reference point or line to produce the image of the initial shape, both having different orientations. It is one of the types of solid transformation.

Since,

ΔCAD = ΔABC but of different orientations, then ABCD is a parallelogram.

Also,

ΔABC = ΔECB, so that ABEC is a parallelogram.

So then:

ΔCAD = ΔABC = ΔECB

Therefore, ABCD and ABEC are parallelograms.

The ticket price that would give the greatest income for the Drama Club is $4.

Let x be the number of $1 increase in ticket price and y be the number of people who would attend the Franklin High School Drama Club’s winter play.

The formula for the number of people who would attend for each $1 increase in ticket price is:

y = -20x + 300

The formula for the income of the Drama Club is:

I = (300 - 20x)(8 + x)

I = 2400 - 160x + 300x - 20x²

I = -20x² + 140x + 2400

I = -20(x² - 7x - 120)

To maximize the income of the Drama Club, we need to find the vertex of the quadratic equation.

We can use the formula:

x = -b/2a

where a = -20 and b = 140.

Therefore:

x = -140/2(-20)

= 3.5

Since we can't have a half-dollar increment, the nearest increment is $1.

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Answer:

Raphael spent $0.38 per pound of chicken

Step-by-step explanation:

Because Raphael bought 2 packages weighing 12 pounds each you have to multiply 2 by 12 to get the total weight which is 24.

the math would be for this equation $9.00/24=0.375

you round up the thousandths place and get $0.38 per pound of chicken

Answer: Exponents are like the multiplication of a number against itself that many times.

Step-by-step explanation: 2^4=2x2x2x2

3^3=3x3x3

Answer: You use exponents when you want to wright a number that is

being multiplied by itself one or more times. The number 3 is the number being multiplied. The smaller number 2, near the top, means that there are two 3s that are being multiplied.

Step-by-step explanation:

a) False - Diagonalizable matrices can have repeated eigenvalues.

b) True - Linear transformations always map the zero vector to the zero vector.

c) True - The kernel of a linear transformation is a vector space.

d) False - The nullity of a matrix A does not necessarily equal the nullity of A transpose.

e) True - If the vectors V₁, V₂, ..., V form a basis for the vector space V, then dim(V) = n, where n is the number of vectors in the basis.

f) True - If Ax = 4x, then 4 is an eigenvalue of A.

g) False - The set {(1,2), (-2,4), (0,5)} is linearly independent, not linearly dependent.

h) True - The dimension of a subspace W is always less than or equal to the dimension of the vector space V containing it.

a) The statement is false. A diagonalizable matrix can have repeated eigenvalues. The number of distinct eigenvalues is not necessarily equal to the size of the matrix.

b) The statement is true. For any linear transformation T, it must map the zero vector to the zero vector.

c) The statement is true. The kernel of a linear transformation is defined as the set of all vectors that map to the zero vector under the transformation. This set always contains the zero vector and is closed under addition and scalar multiplication, satisfying the properties of a vector space.

d) The statement is false. The nullity of a matrix A is the dimension of the kernel of A, while the nullity of A¹ (the transpose of A) is the dimension of the kernel of A¹. These dimensions can be different.

e) The statement is true. If the span of a set of vectors V₁, V₂,..., V is equal to the whole vector space V, then the dimension of V is equal to the number of vectors in the set.

f) The statement is true. If A is a matrix and Ax = 4x, then 4 is an eigenvalue of A corresponding to the eigenvector x.

g) The statement is true. The set {(1,2), (-2,4), (0,5)} is linearly dependent because there exist scalars, not all zero, such that a(1,2) + b(-2,4) + c(0,5) = (0,0), where a, b, and c are scalars.

h) The statement is true. The dimension of a subspace W is always less than or equal to the dimension of the vector space V it is a subspace.

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Step-by-step explanation:

Simply replace X with 3 etc...

f (x) = 4x + 7

f (3) = 4 (3) + 7

f (3) = 12 + 7

f (3) = 19

f (2x) = 4 (2x) + 7

f (2x) = 8x + 7

Answer:

For the first one after F(3), write 4x + 7

4x + 7 12 + 7 = 19

For the second one after F(2x) write 4x + 7

24 + 7 = 31

Step-by-step explanation:

I believe the number after the f represents the x, so you put that into the original equation

Answer:

[tex]\boxed {x = -75}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]\frac{1}{3}x + 2 = \frac{1}{5}x - 8[/tex]

-Take [tex]\frac{1}{5}x[/tex] and subtract it from [tex]\frac{1}{3}x[/tex]:

[tex]\frac{1}{3}x + 2 - \frac{1}{5}x = \frac{1}{5}x - \frac{1}{5}x - 8[/tex]

[tex]\frac{2}{15}x + 2 = -8[/tex]

-Subtract [tex]2[/tex] to both sides:

[tex]\frac{2}{15}x + 2 - 2 = -8 - 2[/tex]

[tex]\frac{2}{15}x = -10[/tex]

-Multiply both sides by [tex]\frac{15}{2}[/tex], which is the reciprocal of [tex]\frac{2}{15}[/tex].

[tex]x = -10 \times (\frac{15}{2})[/tex]

[tex]x = \frac{-10 \times 15}{2}[/tex]

[tex]x = \frac{-150}{2}[/tex]

-Divide [tex]-150[/tex] by [tex]2[/tex]:

[tex]x = \frac{-150}{2}[/tex]

[tex]\boxed {x = -75}[/tex]

So, the value of [tex]x[/tex] is [tex]-75[/tex].

Answer:

$63.00

Step-by-step explanation:

$200.00× 0.045=9

9×7=63

Answer:

Quantity of soap left after Juan washes 8 regular loads and 5 heavy loads of laundry [tex]=12.9[/tex] pounds.

Step-by-step explanation:

Number of scoop of soap used to wash a regular load of laundry = One 0.15 pound scoop

Number of scoops of soap used to wash heavy work clothes = Two 0.15 pound scoops

As Juan washes 8 regular loads and 5 heavy loads of laundry,

Total quantity of soap used = [tex]8(0.15)+5(2)(0.15)=1.2+1.5=2.7[/tex] pounds

As a box of laundry soap weighed 15.6 pounds,

quantity of soap left after Juan washes 8 regular loads and 5 heavy loads of laundry [tex]=15.6-2.7=12.9[/tex] pounds.

The probability that either event A or event B will occur is 2/3.

The probability that either event A or event B will occur can be calculated using the formula P(A or B) = P(A) + P(B) - P(A and B). This formula accounts for the possibility of both events A and B occurring simultaneously.

When we add the probabilities of event A and event B individually (P(A) + P(B)), we are counting the cases where both events occur twice. To avoid this double counting, we subtract the probability of both events occurring together (P(A and B)).

This can be understood through a simple example. Let's say we have two events: event A is rolling an even number on a fair six-sided die, and event B is rolling a number less than 4 on the same die.

The probability of event A occurring is P(A) = 3/6 = 1/2 (since three out of six numbers are even).

The probability of event B occurring is P(B) = 3/6 = 1/2 (since three out of six numbers are less than 4).

If we simply add P(A) + P(B) without accounting for the possibility of both events occurring together, we would get 1/2 + 1/2 = 1, which is incorrect. The correct probability should be less than 1 since events A and B are not mutually exclusive.

To calculate the correct probability, we need to determine the probability of both events occurring together, which is the probability of rolling an even number less than 4. In this case, the probability of event A and event B occurring simultaneously is P(A and B) = 1/6 (since only the number 2 satisfies both conditions).

Using the formula P(A or B) = P(A) + P(B) - P(A and B), we have P(A or B) = 1/2 + 1/2 - 1/6 = 2/3.

Therefore, the probability that either event A or event B will occur is 2/3, not simply the sum of the individual probabilities.

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Answer:

it's 9/25

Step-by-step explanation:

This is a short answer, just taking up space

Answer:

12

Step-by-step explanation:

9 divided by 3/4

you turn 9 into 1/9

so therefore it would be 3/4 divided by 1/9.

Aisha can serve 12 people with the 9 pizzas she has.

A unitary method is a mathematical technique for first obtaining the value of a single unit and then deriving any given unit by multiplying it with the single unit. Suppose 4 pens cost 24 dollars therefore cost of 1 pen is (24/4) = 6 dollars, Now from this we can obtain the cost of any no. of pens.

This type of problem can be solved by the unitary method.

Given (3/4)th of a pizza is served to 1 person.

∴ 9 pizzas can be served to 9/(3/4) people.

= 9×(4/3) people.

= 12 people.

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Answer:

your answer should be 1,435.11 u think

The length of the longest side of a similar triangle whose perimeter is 90 would be 39 units.

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

We are given that  lengths of the sides of a triangle are 5, 12, and 13.

The perimeter is 90.

Thus, the sum of sides of triangle are;

5x + 12x + 13x = 90

30x = 90

x =90/30

x = 3

Therefore, the longest side is 13x  that will be;

13 (3) = 39 units.

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Answer:

so like would that be a cute

Step-by-step explanation:

because it's under 90 degrees