On a coordinate plane, a curved line, labeled f of x, with minimum values of (negative 1.6, negative 56) and (2, 0), and a maximum value of (0.8, 11.4), crosses the x-axis at (negative 2.5, 0), (0, 0), and (2, 0), and crosses the y-axis at (0, 0). Which intervals show f(x) increasing? Choose two options. [–2.5, –1.6) [–2, –1] (–1.6, 0] [0, 0.8) (0.8, 2)

If A is an m×n matrix with rank(A)=m, it means that the matrix A has full row rank. In this case, the system [A∣b] must be consistent for every right-hand side b.

When the rank of a matrix A is equal to its number of rows (rank(A)=m), it implies that there are no redundant or linearly dependent rows in A. Each row in A contributes independently to the span of the column space. Therefore, for any right-hand side vector b, the augmented matrix [A∣b] will have the same number of rows (m) as the rank of A.

Since there are no redundant rows in A, it ensures that the system [A∣b] has enough equations (m) to determine a unique solution or a consistent solution for every right-hand side b. This means that the system will have at least one solution for every value of b, making it consistent.

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Answer:

2 long sleeve and then 7 short sleeve

Rob bought 2 tee shirts and 6 long sleeve shirts.

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x - 2 depicts a linear function because it is a straight line in the coordinate plane.

Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.

An example of a non-linear function is a quadratic function.

Let, The number of tee shirts be 'x' and the number of long sleeve shirts be 'y'.

Therefore,

x + y = 8...(i) and 4x + 5y = 38...(ii)

Multiplying equation (i) by 4 we ave 4x + 4y = 32...(iii).

subtracting eqn(iii) from eqn(i) we have,

y = 6 and hence x = 2.

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Answer:

It is 35 as you said !

but the nth term of it is : Y= 4X-1 .

Step-by-step explanation:

Hope this helps u <3

a) A department manager receiving an allocation of costs will care about management's methodology of overhead allocation because the overhead costs allocated to their department will have a direct impact on the department's profitability and cost efficiency.

b) The allocation base is the measure used to determine how much of the overhead costs should be allocated to a particular department or product, while the allocation rate is the amount of overhead costs allocated to each unit of the allocation base

c) Budgets are an important tool for cost planning, but their effectiveness depends on how well they are developed and implemented.

a) If the allocation method used by management is not accurate or fair, it could result in the department being burdened with more costs than they actually incur, which could affect their ability to meet their targets and objectives. It is, therefore, important for department managers to ensure that the allocation of costs is done fairly and accurately.

b) The allocation base and rate are important because they determine how the overhead costs are allocated to different departments or products.

Different allocation bases and rates can result in significantly different amounts of overhead costs being allocated to different departments or products, which can impact their profitability. While all of the overhead costs eventually make their way to the income statement, the allocation of these costs can have a significant impact on the accuracy of the income statement and the ability of the organization to make informed decisions.

c) Budgets can be helpful in providing a roadmap for achieving the organization's goals and objectives, but they need to be flexible enough to adapt to changing circumstances and priorities.

The budget(s) that are most important to the organization's success will depend on the nature of the organization and its objectives. However, typically the operating budget, capital budget, and cash budget are the most important budgets for most organizations.

The government's budget process is similar to the operating budgeting process described in the chapter in that it involves the development of a budget to allocate resources and achieve goals. However, the government's budget process is more complex and involves additional considerations such as political priorities and public opinion. Additionally, the government's budget process involves a more detailed review and approval process than the operating budgeting process.

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If right is a scaled copy of the rectangle on the left then the scale factor is  1/2.

The scale factor can be calculated by dividing the corresponding lengths (or widths) of the two rectangles.

The length of the left rectangle is 20 units, and the length of the right rectangle is 10 units.

Therefore, the scale factor for the length is:

scale factor for length = length of right rectangle / length of left rectangle

= 10 / 20

= 0.5

scale factor for width = width of right rectangle / width of left rectangle

= 5 / 10

= 0.5

Since the two scale factors are the same, we can conclude that the rectangles are scaled by the same factor of 0.5 in both the length and the width.

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Answer:

70.2

Step-by-step explanation:

777 = 10h + 75

=> 702 = 10h

=> h = 70.2

Therefore, it took 70.2 hours to lease the corvette.

Hoped this helped.

The dimensions of the rectangle with the greatest possible area are 2\(\sqrt{(2)}\) by 4.

Let's denote the dimensions of the rectangle as length (L) and width (W). Since the base of the rectangle is on the x-axis, the width of the rectangle is equal to the x-coordinate of the upper corners of the rectangle.

Let's assume that the x-coordinate of the upper corners of the rectangle is x. Then, the width of the rectangle is W = 2x, and the length of the rectangle is L = 6 -\(x^2\).

The area of the rectangle is A = LW = \(2x(6 - x^2) = 12x - 2x^3.\)

To find the maximum area, we need to take the derivative of A with respect to x and set it equal to zero:

\(dA/dx = 12 - 6x^2 = 0\)

Solving for x, we get:

x = ±sqrt(2)

Since we are interested in the dimensions of the rectangle on the parabola, we take the positive value of x.

Therefore, the width of the rectangle is:

W = 2x = 2sqrt(2)

And the length of the rectangle is:

L = 6 - \(x^2\)= 6 - 2 = 4

So the dimensions of the rectangle with the greatest possible area are 2sqrt(2) by 4.

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Answer:

17/12

Step-by-step explanation:

What is the missing number in [_] -3/4=2/3?

Let the missing number be x

We have

x - 3/4 = 2/3

x = 2/3 + 3/4

x = 8/12 + 9/12

x = 17/12

So, the missing number is 17/12

The coordinates of the point on the graph of is (-4,2).

A function is defined as the relationship between input and output, where each input has exactly one output. The inputs are the elements in the domain and the outputs are elements in the co-domain.

If -4 is a solution of the equation f(x) = 2,

When giving the input as  -4 the output will be 2.

Thus these can be written in ordered pair as (-4,2).

Hence, the coordinates of the point on the graph of is (-4,2).

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The solution of the inequality x + 3 < 7 is x < 4.

Consider the inequality,

x + 3 < 7

Subtracting 3 from each side of the equation,

x + 3 - 3 < 7 - 3

x < 4

In order to represent x < 4 on a number line, we will follow the steps given below.

Step 1: Mark zero on a number line, then mark equal distances to the right and left.

Step 2: In the given inequality x < 4, the value of x is less than 4. So, we need to move to the left of 4.

Step 3: Mark a black empty circle on 4 and shade the line from 4 towards the left side until the arrow. The circle at point 4 will be left empty because a blank circle shows that 4 is not included. This means that x is less than 5 and not equal to 4.

Hence we get the required number line.

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Answer:

42%

Step-by-step explanation:

100% - 58% = 42%

Two point charges, q1 = 3.99 nC located at x = 0.205 m and q2 = 5.01 nC at x = -0.302 m, are placed on the x-axis. The electric field and direction at a given point can be calculated using the principle of superposition.

The electric field at a point due to a point charge is given by Coulomb's law, E = kq/r^2, where E is the electric field, k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q is the charge, and r is the distance between the point charge and the point where the electric field is being measured. To calculate the net electric field at a point due to multiple charges, we use the principle of superposition, which states that the total electric field at a point is the vector sum of the electric fields due to each individual charge.

In this case, we have two charges, q1 = 3.99 nC and q2 = 5.01 nC. The electric field at a point P on the x-axis, due to q1, can be calculated as E1 = kq1/r1^2, where r1 is the distance between q1 and point P. Similarly, the electric field at point P due to q2 can be calculated as E2 = kq2/r2^2, where r2 is the distance between q2 and point P. To find the net electric field at point P, we add the electric fields vectorially, E_net = E1 + E2.

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Answer:

by-step explanation:

Answer:

Fourth option is correct. The length of B'C' is 1 unit.

Step-by-step explanation:

The vertices of triangle ABC are A = (2, 2), B = (4, 3), and C = (6, 3).

Distance formula:

The length of BC is 2 units.

It is given that ΔABC is dilated by a scale factor of 0.5 with the origin as the center of dilation, resulting in the image ΔA′B′C′.

It means the ΔABC and ΔA′B′C′ are similar and corresponding sides of ΔA′B′C′ and ΔABC are proportional.

The scale factor is 0.5.

Therefore the length of B'C' is 1 unit and fourth option is correct

Answer:

D= 1 unit

Step-by-step explanation:

Answer:

not sure forggive me if im wronng maybe B. false

Step-by-step explanation:

Answer:

water world give lower priced offer

Step-by-step explanation:

Offer given by Aqua Plus

two-year membership for $479.76

it means,

for 24 month=$479.76

For 1 month=$

For 1 month membership Aqua Plus  take $19.99

Now Offer given by Water World

18-month membership for $350.00

it means for 18 month=$350.00

and For 1 month=$

For 1 month membership water world takes $19.44

it means amount taken by water world for 1 month membership is less than the amount taken for 1 month by Aqua plus

Therefore, water world give lower priced offer.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The area of an equilateral triangle with a side length of 8 feet is \(\(16\sqrt{3}\)\) square feet. This can be obtained by applying the formula for the area of an equilateral triangle and simplifying the expression.

The area of an equilateral triangle with a side length of 8 feet can be calculated using the formula for the area of an equilateral triangle. The area of an equilateral triangle is given by \(\( \frac{\sqrt{3}}{4} \times \text{side length}^2 \).\) Substituting the given side length of 8 feet into the formula, we can find the area of the equilateral triangle.

The area of an equilateral triangle with a side length of 8 feet is given by \(\( \frac{\sqrt{3}}{4} \times 8^2 \).\)

To simplify the expression, we can first square the side length: \(\( 8^2 = 64 \).\)

Next, we substitute the squared side length into the formula and simplify: \(\( \frac{\sqrt{3}}{4} \times 64 \).\)

Multiplying the fraction and the number, we have \(\( \frac{\sqrt{3} \times 64}{4} \).\)

Simplifying further, we get \(\( \frac{64\sqrt{3}}{4} \).\)

Since both 64 and 4 can be divided by 4, we simplify the expression to \(\( 16\sqrt{3} \).\)

Therefore, the area of the equilateral triangle with a side length of 8 feet is \(\( 16\sqrt{3} \)\) square feet.

In summary, the area of an equilateral triangle with a side length of 8 feet is \(\( 16\sqrt{3} \)\) square feet.

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The area of the new rectangle will be 25 times that of the original

A rectangle is a 2D shape that has 4 sides and equal interior angles

If rectangle has a width of 2.45 feet and a length of 6.5 feet, then;

Width = 2.45 feet

Length = 6.5feet

A = 2.45 * 6.5

A = 15.925 square feet

If each side of the rectangle is increased by a factor of 5, hence;

W1 = 5(2.45) = 12.25feet

L1 = 5(6.5) = 32.5 feet

Determine the area of the new rectangle

A = 12.25 * 32.5

A = 398.125 square feet

Ratio of the area

A1/A = 398.125/15.925

A1 = 25A

Hence the area of the new rectangle will be 25 times that of the original

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Answer:

26.6 minutes

Step-by-step explanation:

Set up a proportion

3/8 = 10/x

cross multiply

3x = 80

x = 26.6

a) The amount of water in the pool after 2 hours can be calculated using the equation.

Water in pool = 10L/hour × 2 hours = 20L.

b) The pool will be 80L when the equation is satisfied: 80L = 10L/hour × Time.

Solving for Time, we find Time = 8 hours.

c) Part b) is linear.

a) To calculate the amount of water in the pool after 2 hours, we can use the equation:

Water in pool = Water filling rate × Time

Since the pool gets filled up with 10L of water per hour, we can substitute the values:

Water in pool = 10 L/hour × 2 hours = 20L

Therefore, after 2 hours, there will be 20 liters of water in the pool.

b) To determine the number of hours it takes for the pool to reach 80 liters, we can set up the equation:

Water in pool = Water filling rate × Time

We want the water in the pool to be 80 liters, so the equation becomes:

80L = 10 L/hour × Time

Dividing both sides by 10 L/hour, we get:

Time = 80L / 10 L/hour = 8 hours

Therefore, it will take 8 hours for the pool to contain 80 liters of water.

c) Part b) is linear.

The equation Water in pool = Water filling rate × Time represents a linear relationship because the amount of water in the pool increases linearly with respect to time.

Each hour, the pool fills up with a constant rate of 10 liters, leading to a proportional increase in the total volume of water in the pool.

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It can be concluded that the mean number of pits that develop under these conditions is less than 40.

To determine if the mean number of pits that develop under these conditions is less than 40, the sample mean should be calculated. The sample mean is calculated by summing the number of pits for each sample and dividing by the total number of samples. The sample mean is given as follows:

Sample mean = (11 + 26 + 34 + 21 + 42 + 18 + 31 + 34)/8

Sample mean = 27.875

The sample mean is 27.875.

Since the sample mean is less than 40, it can be concluded that the mean number of pits that develop under these conditions is less than 40. Therefore, the statement is true.

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When determining the size of a fact table, estimating the number of possible values for each dimension associated with the fact table is equivalent to: determining the number of possible values for each foreign key in the fact table.

The measures, metrics, or facts of a business process are contained in a fact table in data warehousing. In a star or snowflake schema, it sits in the middle, surrounded by dimension tables.

When several fact tables are employed, they are organized according to a fact constellation schema. The two types of columns that make up a fact table are typically those that hold facts and those that serve as a foreign key to dimension tables.

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The correct equation for the given points is:

d. y = (3/4)(x + 2)(x - 8)²

Given are points, (-2,0) (8,0) (0,96) we need to determine the graph that contains the given points,

To determine the correct equation for the given points, we can use the fact that a point (x, y) lies on a graph if and only if when we substitute the x-coordinate into the equation, it yields the corresponding y-coordinate.

Let's substitute the points (-2, 0), (8, 0), and (0, 96) into the equation choices provided to see which equation satisfies all three points.

a. y = (x + 2)²(x - 8)

For the point (-2, 0):

0 = (-2 + 2)²(-2 - 8)

0 = (0)²(-10)

0 = 0 (True)

For the point (8, 0):

0 = (8 + 2)²(8 - 8)

0 = (10)²(0)

0 = 0 (True)

For the point (0, 96):

96 = (0 + 2)²(0 - 8)

96 = (2)²(-8)

96 = 4(-8)

96 = -32 (False)

The equation y = (x + 2)²(x - 8) does not satisfy the point (0, 96).

b. y = (-3/4)(x + 2)(x - 8)²

For the point (-2, 0):

0 = (-3/4)(-2 + 2)(-2 - 8)²

0 = (-3/4)(0)(-10)²

0 = 0 (True)

For the point (8, 0):

0 = (-3/4)(8 + 2)(8 - 8)²

0 = (-3/4)(10)(0)²

0 = 0 (True)

For the point (0, 96):

96 = (-3/4)(0 + 2)(0 - 8)²

96 = (-3/4)(2)(-8)²

96 = (-3/4)(2)(64)

96 = (-3/4)(128)

96 = -96 (False)

The equation y = (-3/4)(x + 2)(x - 8)² does not satisfy the point (0, 96).

c. y = (x + 2)(x - 8)²

For the point (-2, 0):

0 = (-2 + 2)(-2 - 8)²

0 = (0)(-10)²

0 = 0 (True)

For the point (8, 0):

0 = (8 + 2)(8 - 8)²

0 = (10)(0)²

0 = 0 (True)

For the point (0, 96):

96 = (0 + 2)(0 - 8)²

96 = (2)(-8)²

96 = (2)(64)

96 = 128 (False)

The equation y = (x + 2)(x - 8)² does not satisfy the point (0, 96).

d. y = (3/4)(x + 2)(x - 8)²

For the point (-2, 0):

0 = (3/4)(-2 + 2)(-2 - 8)²

0 = (3/4)(0)(-10)²

0 = 0 (True)

For the point (8, 0):

0 = (3/4)(8 + 2)(8 - 8)²

0 = (3/4)(10)(0)²

0 = 0 (True)

For the point (0, 96):

96 = (3/4)(0 + 2)(0 - 8)²

96 = (3/4)(2)(-8)²

96 = (3/4)(2)(64)

96 = (3/4)(128)

96 = 96 (True)

The equation y = (3/4)(x + 2)(x - 8)² satisfies all three points: (-2, 0), (8, 0), and (0, 96).

Therefore, the correct equation for the given points is:

d. y = (3/4)(x + 2)(x - 8)²

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The ratio between the circle and triangle is described as 3:4.

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The expression that is equivalent to (-2)^4/(-2)^2 is (-2)^6/(-2)^4

The expression is given as:

(-2)^4/(-2)^2

Apply the law of indices

(-2)^4/(-2)^2 = (-2)^(4 -2)

4 - 2 has the same value as 6 - 4

So, we have:

(-2)^4/(-2)^2 = (-2)^(6-4)

Apply the law of indices

(-2)^4/(-2)^2 = (-2)^6/(-2)^4

Hence, the expression that is equivalent to (-2)^4/(-2)^2 is (-2)^6/(-2)^4

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Ak is the event that the sum of the dots facing up is k, Bk is the event that the sum is greater than or equal to k, E is the event that the sum is even, and O is the event that the sum is odd. The total number of outcomes, which is 36.

a) To find P[Ak], we need to count the number of ways we can obtain a sum of k and divide by the total number of possible outcomes. This gives P[Ak] = (number of ways to obtain k)/(total number of outcomes) = (number of ways to obtain k)/36. Similarly, P[BX] is the probability of obtaining a sum greater than or equal to X, which is the same as the probability of obtaining a sum of X or more, so we can use the same approach as for P[Ak].

b) P[O|B8] is the probability that the sum is odd given that it is greater than or equal to 8. To find this, we can use Bayes' theorem: P[O|B8] = P[O and B8]/P[B8]. We can calculate P[O and B8] by counting the number of outcomes where the sum is odd and greater than or equal to 8, which is 10 (9, 11, ..., 19), and divide by the total number of outcomes that satisfy B8, which is 25 (8, 9, ..., 12). Therefore, P[O and B8] = 10/36 and P[B8] = 25/36, so P[O|B8] = (10/36)/(25/36) = 2/5.

c) P[A U A11\B8] is the probability that the sum is either 2, 3, ..., 11 or 12, but not 8. To find this, we can add the probabilities of the individual events and subtract the probability of their intersection: P[A U A11\B8] = P[A2] + P[A3] + ... + P[A11] + P[A12] - P[B8]. Note that P[B8] is the probability that the sum is 8 or more, so we can use our previous calculation to find this.

d) P[B80] is the probability that the sum is 8 or more. We can count the number of outcomes where the sum is 8 or more, which is 25 (8, 9, ..., 12), and divide by the total number of outcomes, which is 36.

e) P[B:|B-] is the probability that the sum is even given that it is odd. To find this, we can use Bayes' theorem: P[B:|B-] = P[B: and B-]/P[B-]. We can count the number of outcomes where the sum is even and odd, which is 18, and divide by the total number of outcomes where the sum is odd, which is 18 (1, 3, ..., 11), so P[B: and B-] = 18/36 = 1/2. We can also count the number of outcomes where the sum is odd, which is 18, and divide by the total number of outcomes, which is 36, to find P[B-].

f) P[E|B8] is the probability that the sum is even given that it is greater than or equal to 8. To find this, we can use Bayes' theorem: P[E|B8] = P[E and B.

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Answer:

b

Just trust me

Step-by-step explanation: