At Escobar Middle School, 5% of sixth-grade students, which is 20 students, are enrolled in both art and choir. How many sixth-grade students are there in total

The answer would be f(-7) = 224.

To solved you simply plug the -7 in for x. So, it would be f(-7) = 4(-7)^2 - 4(-7).

The first thing you would do is square the 4(-7)^2, to get 4(49) - 4(-7).

Then, multiply these out to the numbers outside the parentheses, to get f(-7) = 196 - (-28).

Remember, negatives cancel out negatives and turn positive, so the equation would actually be f(-7) = 196 + 28.

Simplify this, and you get f(-7) = 224.

We have the following:

factoring:

Therefore, the answer is:

Answer:

if the solutsion are r1,r2 then the factored form is

y=a(x-r1)(x-r2) where a is a constant

so

r1=-1/3

r2=4

y=a(x-(-1/3))(x-4)

y=a(x+1/3)(x-4)

so it will be

y=a(x+1/3)(x-4)

a is a constant

Step-by-step explanation:

Answer:

$39.36

Step-by-step explanation:

Since its 20% off that means we still have a remaining 80% so first multiply 0.8 to the 82

82x0.8= 65.6

Since there is a additional 40% off multiply by 0.4 to get the discount amount

65.6x0.4= 26.24

Subtract the discount from the price

65.6-26.24= 39.36

In the game of flipping the coin the expected number of flips will range from 4 to 7.

In the game of flipping a coin one person get one point for the head and the other person who is the opponent gets one point for the tails.

The first one who gets Four Points will win the game.

The minimum number of time that are required to flip the coin to decide a winner will be in the range of 4 to 7.

Now let us understand that why the expected number of flip is 4. Is time bhi flip the coin only one person will get a point.

In order to reach Four Points whether the person can get directly 4 favourable results or the person can have the favourable result in the maximum of 7 flips.

The number of flips cannot exceed 7 because that will make the score more than 4 which is not expected.

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Answer:

Step 2 has the error because they added the five to -3 and got -8 when they should have gotten 2.

Step-by-step explanation:

Answer:

12 - 0 = 12.

Step-by-step explanation:

If you substitute all x values for 0, then you get 12 - 8(0) = 3(0+4). Combine like terms and you will arrive at 12 - 0 = 3(4). Which then goes to 12 - 0 = 12. Since 0 has no value, just remove it from the equation. You are left with 12 = 12.

Answer:

it is x= 0

Step-by-step explanation:

you distribute the numbers in the parentheses first so your new equation would be 12 - 8x = 3x + 12 (basically multiply 3 by what was in the parentheses)

then cancel equal terms so 12 - 8x = 3x + 12 becomes -8x = 3x

after that move the variable and the 3 to the left while changing the sign from + to - (the + sign is implied since it's a positive number) your new equation becomes -8x - 3x = 0

next collect like terms so the numbers with the same variable meaning subtract -8x - 3x also known as -8x + -3x creating the equation -11x =0

finally divide both sides of the equation -11x = 0 by -11 creating x=0

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Answer:

3.27

16 is what percent of 489? = 3.27.

The model's fit to the data is weak, indicated by a correlation coefficient of -0.34. There is a weak negative relationship between the variables, with the model's predictions being imprecise and scattered around the line of fit.

A relationship coefficient of - 0.34 shows a frail negative connection between's the factors in the information. This intends that as one variable expands, the other variable will, in general, diminish, however, the relationship isn't a serious area of strength for exceptionally.

The line of fit for the information recommends that there is a general pattern or example, however, it doesn't fit the information focuses intently. The scatterplot of the information would show focuses spread around the line, for certain focuses straying a considerable amount from it.

The model's capacity to foresee the specific upsides of the reliant variable in light of the free variable(s) is restricted. In outline, the attack of the model to the information isn't an area of strength for extremely, there is a frail negative connection between the factors.

The model's forecasts may not be profoundly precise, and there may be different elements or factors not caught by the model that impact the information.

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Answer:

Step-by-step explanation:

It’s the first one

Answer:

{-1, 1}

Step-by-step explanation:

The x-intercept is the x value when y = 0.

Another way to reword that is when the graph crosses the x-axis.

We see from the graph that the graph crosses the x-axis when x = -1 and x = 1. Therefore, those are our x-intercepts.

When integrating a graph or table, the role of the text is to act as a reference to the data.

Text provides context for the data, explains the meaning of the data and how it was collected, and identifies any limitations or caveats associated with the data.

The text can also provide explanations of any technical terms or units of measurement used in the data, making it easier for the reader to understand and interpret the information presented in the graph or table.

In addition to acting as a reference to the data, text can also play a role in interpreting the data. This can include summarizing key findings, identifying trends or patterns, or drawing conclusions based on the data presented.

The text can also provide insights into the implications of the data, such as how it might inform policy decisions or impact future research.

Overall, the text serves as an important companion to graphs and tables, providing additional information and context that helps the reader fully understand and interpret the data presented.

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Answer:

graph B just took the test

Step-by-step explanation:

Answer:

B is correct

Step-by-step explanation:

The area of triangle STU is 40 square units.

The area of triangle STU can be found using the Shoelace Theorem, which states that the area of a polygon can be calculated as the sum of half the product of the coordinates of its vertices.

The vertices of triangle STU are (-4, 2), (-5, 9), and (-8, 7), so the area can be calculated as follows:

0.5 * abs((-4 * 9 + -5 * 7 + -8 * 2) - (-5 * 2 + -8 * 9 + -4 * 7)) = 0.5 * abs(40 - -40) = 0.5 * 80 = 40

Therefore, the area of triangle STU is 40 square units.

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Solution:

Given that;

An angle measures 3° more than two times its complement x.

Let the larger angle be y

The angle measures 3° more than two times its complement, i.e.

Then,

The smaller angle, x is 29 degrees

The larger angle is

The larger angle, y is 61 degrees

The total is

The total is 90 degrees.

Answer:

-4

Step-by-step explanation:

The product of slopes of two perpendicular lines is -1, so 1/4 x -4 = -1

Hence the slope for line B is -4

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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Answer:

6.25 hours

Step-by-step explanation:

pages per hour

pages/hour

90/2.5 = 36

36 pages per hour

225 / 36 = 6.25 hours

Answer:

6.25 hours

Step-by-step explanation:

2 and half hours = 2.5 hours

Proportions:

90 pages  ⇔  2.5 hours

225 pages  ⇔  E hours

E = 225*2.5/90

E = 6.25 hours

6.25 hours = 6 and 1 quarter hours

The equation of the plane through the point (4, 3, 9) and with a normal vector of 7i + 7j + 5k is 7(x - 4) + 7(y - 3) + 5(z - 9) = 0.

To find the equation of a plane, we need a point on the plane and a normal vector that is perpendicular to the plane. In this case, the given point is (4, 3, 9), and the normal vector is 7i + 7j + 5k.

The general equation of a plane is Ax + By + Cz + D = 0, where A, B, and C represent the coefficients of x, y, and z, respectively, and D is a constant term. To determine the coefficients A, B, C, and the constant D, we can substitute the coordinates of the given point (4, 3, 9) and the components of the normal vector (7, 7, 5) into the equation.

By substituting these values, we get 7(x - 4) + 7(y - 3) + 5(z - 9) = 0. This equation represents the plane that passes through the point (4, 3, 9) and has a normal vector of 7i + 7j + 5k. It describes all the points (x, y, z) that satisfy the equation and lie on the plane defined by the given point and normal vector.

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\(\huge{ \mathfrak{  \underline{ Answer} \:  \:  ✓ }}\)

SAS is a congruency criteria which is used to prove that two triangles are congruent, if two corresponding sides and an angle between them is equal in both the triangles.

For example - In the attached picture,

Therefore, ΔKLM ≅ ΔXYZ

(By SAS criteria)

\(\mathrm{ ☠ \: TeeNForeveR \:☠ }\)

The required value of y for the unit circle is: 2/3

The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).

The equation of the circle is given by:

(x - h)² + (y - k)² = r²

where:

h, k is the coordinate of the center of the circle on coordinate plane.

r is the radius of the circle.

Here,

Equation of the unit circle is given as,

x² + y² = 1

Now substitute the given value in the equation,

5/9 + y² = 1

y² = 1 - 5/9

y² = 4/ 9

y = √(4/9)

y = 2/3

Thus, the required value of y for the unit circle is 2/3

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Answer:

Step-by-step explanation:

Let Cameron's age be x and Avery's age be y.

The difference is 5 and the product is 104:

Solve by substitution:

Taking the positive root as age can't be negative:

Find x:

Answer: y=x-1

General equation of linear function: \(y=mx+b\)

A(-1;0); x=-1, y=0

B(0;-1); x=0, y=-1

Let's solve the system of equations

\(\displaystyle\\\left \{ {{0=-1m+b} \atop {-1=0x+b}} \right. =>b=-1=>0=-m-1;m=-1\)

Answer:

A.) CPCTC (Please mark Brainliest)

Step-by-step explanation:

First triangle is proven congruent then parts are said to be congruent

Answer: If half a gallon is 15 then just multiply 15 with 2.

Step-by-step explanation:

Answer:

He drove 27\(\frac{13}{31}\) miles per gallon.

Step-by-step explanation:

15\(\frac{1}{2}\) gas = 425 miles

\(\frac{31}{2}\) gas = 425 miles

31 gas = 425 × 2

          = 850 miles

1 gallon = 850 miles ÷ 31

1 gallon = 27\(\frac{13}{31}\) miles

Answer:

the answer is A on ed trust me

Answer: A on EGD 2020.

I just did the assessment and I got it correct.

Answer

Step-by-step explanation:

9

56

≈0.161

Result9 over 56 approximately 0.161

Step by step

Step 1 of 2: Divide.

Divide

1 over 7

1

7

÷ 8 over 9

8

9

= 9 over 56

9

56

Step 1 of 2: Divide.Show the work

Step 2 of 2: Simplify.

Simplify

9 over 56

9

56

Answer:

The answer is 1 inch per second