pumbaa paid monthly mud bills of $85, $77 and $72. His mud budget is
$322 for three months. How much was pumbaa underbudget?

The inequality of the graph from the boundary line is y ≤ x - 3

From the question, we have the following parameters that can be used in our computation:

Boundary line: y = x  - 3

This means that

The inequality can be any of the following

y > x - 3

y < x - 3

y ≥ x - 3

y ≤ x - 3

In this case, we make use of y ≤ x - 3

So, we plot the graph

See attachment for the graph of the inequality expression y ≤ x - 3

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Answer:4

Step-by-step explanation:

The different sides of the showcase are comparable in that the two of them have a greater part of perceptions in the scope of 5 to 9 MPa.

The different sides of the showcase seem to have comparable dispersion designs, with most of perceptions falling inside the 5 to 9 MPa range. This proposes that there might be some hidden element that is making the qualities on the two sides be packed here, conceivably a typical estimation or handling technique.

Nonetheless, without additional data about the information and what it addresses, it is challenging to say for specific what may be driving this likeness. In any case, the comparative conveyance examples of the two arrangements of information are significant and investigating further.

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Answer:

Step-by-step explanation:

hello :

the cannonball hit the ground when h=0

-5t² + 40t=0 means : -5t(t- 8)=0

t=8

The estimation of the equation 1/6 + 5/6  is 1 (option C).

For rounding a fraction to the nearest whole number, use the "rounding half up" rule if necessary.

To estimate the solution for the equation 1/6 + 5/6, we can round each fraction to the nearest whole number.

The fraction 1/6 is closer to 0 than it is to 1, so we will round it to 0.

The fraction 5/6 is closer to 1 than it is to 0, so we will round it to 1.

Now we can estimate the solution for the equation as follows:

0 + 1 = 1

Therefore, the estimated solution for the equation 1/6 + 5/6 is 1.

The correct answer is C. 1.

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The area of the triangle from the vertices is 27 square units

From the question, we have the following parameters that can be used in our computation:

$A\left(2,\ -2\right)$ , $B\left(4,\ -2\right)$ , and $C\left(6,\ -11\right)$ .

Represent the vertices properly

So, we have

A = (2, -2)

B = (4, -2)

C = (6, -11)

The area of the triangle is calculated using

Area = 0.5 * |Ax(By - Cy) + Bx(Ay - Cy) + Cx(Ay - By)|

Substitute the known values in the above equation, so, we have the following representation

Area = 0.5 * |2 * (-2 + 11) + 4 * (-2 + 11) + 6 * (-2 + 2)|

Evaluate the sum of products

Area = 0.5 * |54|

Remove the absolute bracket

Area = 0.5 * 54

Evaluate

Area = 27

Hence, the area of ABC with vertices is 27 square units

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The derivative of y√(1/(t(8t+1))) is (dy/dt √(1/(t(8t+1))) - y * (4t√t+1 + √(8t+1))/(2t√(t(8t+1)))).

To use logarithmic differentiation to find the derivative of y√(1/(t(8t+1))), we can follow these steps:

ln(y√(1/(t(8t+1)))) = ln(y) + 1/2 ln(1/(t(8t+1)))

d/dt ln(y√(1/(t(8t+1)))) = d/dt [ln(y) + 1/2 ln(1/(t(8t+1)))]

d/dt ln(y√(1/(t(8t+1)))) = (dy/dt √(1/(t(8t+1))) - y * (4t√t+1 + √(8t+1))/(2t√(t(8t+1))))

So, the final expression y√(1/(t(8t+1))) is

(dy/dt √(1/(t(8t+1))) - y * (4t√t+1 + √(8t+1))/(2t√(t(8t+1)))).

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The distance bewteen the points (-3,5) and (3,1) in a simple radical form is 2√13.

The distance formula used in finding the distance between two points is expressed as;

d = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

From the graph;

Point A: (-3,5)

x₁ = -3

y₁ = 5

Point B: (3,1)

x₂ = 3

y₂ = 1

Plug the given values into the distance formula and simplify.

\(d = \sqrt{( x_2 - x_1)^2 + (y_2 -y_1 )^2} \\\\d = \sqrt{( 3-(-3))^2 + (1 -5)^2} \\\\d = \sqrt{( 3+ 3)^2 + (1 -5)^2} \\\\d = \sqrt{( 6)^2 + (-4)^2} \\\\d = \sqrt{36 + 16} \\\\d = \sqrt{52}\\\\d = 2\sqrt{13}\)

Therefore, the distance between the points is 2√13.

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If 250 Bell laptops are to be produced, then 250 hard drives will be required.

According to the product structure tree for Bell laptops on page 4 of the lecture materials on Master Scheduling and Bill of Materials, the total number of hard drives (01-hdrive) required to produce 250 Bell laptops is 250.Each Bell laptop requires one hard drive to be produced.

Therefore, if 250 Bell laptops are to be produced, then 250 hard drives will be required.

This can be seen in the product structure tree where the hard drive is a sub-assembly of the Bell laptop, and each Bell laptop requires exactly one hard drive. The product structure tree also shows that each hard drive requires a number of components to be produced, such as a hard drive case, a circuit board, and a motor.

These components are also shown as sub-assemblies of the hard drive.

Overall, the product structure tree is a useful tool for understanding the relationships between the components and sub-assemblies that are required to produce a finished product. It provides a detailed breakdown of the product structure, which is essential for effective production planning and scheduling.

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Answer: 26, 21, 16, 11, 6, 1 (You're going up by 5 each time)

Step-by-step explanation: Good luck! :D

Answer:

Easy peasy, the volume is 24!

3 x 4 ÷ 2 = 6

3 x 4 ÷ 2 = 6.

6 x 3 = 18.

18+ 6 = 24

Answer:

it is 24 24ft³

Step-by-step explanation:

it is also correct on illuminate

Answer:

A perpendicular bisector is a perpendicular line that divides a line into two equal halves

To apply the Perpendicular Bisector Theorem, the land surveyor will need to identify; the midpoint along the line connecting the two stakes

The reason why the surveyor needs to identify the midpoint is as follows:

According to the Perpendicular Bisector Theorem, all points on the perpendicular bisector of a line are of equal distance from the line's endpoint

In order to apply the perpendicular bisector, the surveyor would need to identify the midpoint from which the third stake can be placed 100 ft. along a perpendicular bisector drawn from the midpoint

Therefore, the surveyor needs to identify; the midpoint along the line connecting the two stakes

The mean from each error, square the result, sum up all the squared differences, divide by the number of guesses (n), and take the square root to obtain the standard deviation.

To find the mean and standard deviation of the errors, we need the individual guesses of the students. Since the guesses are not provided in the question, we are unable to calculate the precise mean and standard deviation of the errors.

However, I can explain the general approach to calculating these statistics once you have the individual guesses. Let's assume we have n student guesses for the width of the room, denoted as x1, x2, ..., xn.

1. Mean of the errors:

To calculate the mean of the errors, we sum up all the errors and divide by the number of guesses (n):

Mean = (1/n) * (Σ(xi - 42.6))

Here, Σ represents the summation symbol, and xi - 42.6 represents the error for each individual guess.

2. Standard deviation of the errors:

The standard deviation measures the dispersion or spread of the errors around the mean. The formula for calculating the standard deviation is as follows:

Standard Deviation = √((1/n) * Σ(xi - 42.6 - Mean)^2)

In this formula, we subtract the mean from each error, square the result, sum up all the squared differences, divide by the number of guesses (n), and take the square root to obtain the standard deviation.

Please provide the individual guesses of the students, and I will be able to calculate the mean and standard deviation of the errors more precisely.

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The Laplace equation is defined as Au=0. The aim is to solve analytically Laplace's equation in the square [0, 1]²2 with boundary conditions u(x,0) = 0 = u(0, y), u(x, 1) = u(1, y) = 1.

Let's consider the Laplace equation as followsAu = ∂²u/∂x² + ∂²u/∂y²= 0Given boundary conditions areu(x, 0) = 0u(0, y) = 0u(x, 1) = u(1, y) = 1The solution of the Laplace equation is as followsu(x,y) = X(x).Y(y)Let's find the boundary conditionsu(x, 0) = 0

Let's substitute the value of Y(0) in the solution to get X(x).Y(0) = 0, which implies Y(0) = 0Similarly, u(0, y) = 0 => X(0).Y(y) = 0 => X(0) = 0Now, let's find the remaining boundary conditionsu(x, 1) = 1X(x).Y(1) = 1 => Y(1) = 1/X(x)u(1, y) = 1 => X(1).Y(y) = 1 => X(1) = 1/Y(y)Now, let's put the values of X(0) and X(1) in the below equationX(0) = 0, X(1) = 1/Y(y)X(x) = x

Now, let's put the values of Y(0) and Y(1) in the below equationY(0) = 0, Y(1) = 1/X(x)Y(y) = sin(n.π.y) /sinh(n.π)Therefore, the solution of Laplace's equation u(x, y) is as follows;u(x,y) = Σ(n=1 to ∞)sin(n.π.y).sinh(n.π.x) /sinh(n.π)Answer:Therefore, the solution of Laplace's equation u(x, y) is u(x,y) = Σ(n=1 to ∞)sin(n.π.y).sinh(n.π.x) /sinh(n.π).

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The area of the triangle with vertices A(2, 18), B(-4,2), and C (2,2) in a Cartesian Coordinate System  is equals to 3√208.

The area of a triangle with vertices A(2, 18), B(-4, 2), and C(2, 2) in a Cartesian Coordinate System can be calculated using the formula:

Area = (1/2) * |(x_A * (y_B - y_C) + x_B * (y_C - y_A) + x_C * (y_A - y_B))|

Plugging in the coordinates:

Area = (1/2) * |(2 * (2 - 2) + (-4) * (2 - 18) + 2 * (18 - 2))|

Area = (1/2) * |(0 + (-4) * (-16) + 2 * 16)|

Area = (1/2) * |(64 + 32)|

Area = (1/2) * 96

Area = 48 square units.

To find the area of the triangle with vertices A(2, 18), B(-4,2), and C (2,2) in a Cartesian Coordinate System, we can use the formula for the area of a triangle:

Area = (1/2) * base * height

We can use the distance formula to find the length of each side of the triangle, and then use the formula above to find the area.

AB = √[(2 - (-4))^2 + (18 - 2)^2] = √(6^2 + 16^2) = √292
BC = √[(2 - (-4))^2 + (2 - 2)^2] = √6^2 = 6
AC = √[(2 - 2)^2 + (18 - 2)^2] = √16^2 = 16

Since BC is the base of the triangle, we can use it to find the height. We can draw a perpendicular line from A to BC, which will be the height of the triangle. This line will divide the triangle into two right triangles, with legs of 6 and h (the height).

Using the Pythagorean theorem, we can solve for h:

h^2 + 6^2 = 16^2
h^2 = 208
h = √208

Now we can plug in the values for the base and height into the formula for the area:

Area = (1/2) * BC * h
Area = (1/2) * 6 * √208
Area = 3√208

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The percentage of daily phone calls numbering 28 and 88 = 99.7%

The given Standard Deviation is 10, and the mean is 58

Using the formula

z = (X -Mean) / Standard Deviation

z value corresponding to X = 28 is

z = (28 - 58)/ 10

z = -30/10

z = -3

z value corresponding to X = 88

z = (88 - 58) / 10

z = 3

According to the empirical rule

"Empirical Rule" is also called as the three sigma rule

We have to know  

One Standard Deviation of the mean , covers 68% of data

Two Standard Deviation of the mean , covers 95% of data

Three Standard Deviation of the mean , covers 99.7% of data

Therefore, +/- to the third Standard Deviation covers of the items 99.7% of data.

Therefore, the percentage of daily phone calls numbering 28 and 88 = 99.7%

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The farmer knows that the 5 camp division is an easier practical solution than the 9 camp division because it does not require dealing with fractions or decimals.

Both fractions and decimals are just two ways to represent numbers. Fractions are written in the form of p/q, where q≠0, while in decimals, the whole number part and fractional part are connected through a decimal point.

To understand why the 5 camp division is an easier practical solution than the 9 camp division, we need to consider the common factors of 8,085 and the numbers 9 and 15.

The prime factorization of 8,085 is:

8,085 = 3 x 3 x 3 x 5 x 5 x 6

The prime factorization of 9 is:

9 = 3 x 3

The prime factorization of 15 is:

15 = 3 x 5

From the prime factorizations, we can see that 9 has a common factor of 3 with 8,085, while 15 has two common factors of 3 and 5 with 8,085. This means that dividing 8,085 into 9 or 15 camps of equal size would require dealing with fractions or decimals, which can be impractical in a farming context.

On the other hand, the prime factorization of 5 is:

5 = 5

Since 5 is a prime number, it does not have any common factors with 8,085. This means that dividing 8,085 into 5 camps of equal size would not require dealing with fractions or decimals. The farmer can simply divide the grazing land into 5 equal parts, each with an area of 1,617 hectares, without needing to perform any division calculations or deal with any fractions or decimals.

Therefore, the farmer knows that the 5 camp division is an easier practical solution than the 9 camp division because it does not require dealing with fractions or decimals.

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The statement which is true among the answer choices is; Only 140 is an outlier.

An outlier by definition is a data point that differs significantly from other observations which may be due to an error and hence, may cause difficulty in statistical evaluation.

On this note, it follows that only 140 is an outlier among the answer choices.

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It's D. There are no outliers

Answer:

Solution given;

Cos (x-\(\frac{5}{6}\))=\(\frac{\sqrt{2} }{2}\)

Cos (x-\(\frac{5}{6}\))=Cos45°

equating corresponding value

(x-\(\frac{5}{6}\))=45°

x=45°+5/6

x=45.83°

Answer:

2x² + 6x + 8

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= 6x + 8 + 2x²

= 2x² + 6x + 8

Answer:

125 questions

Answer:

125 questions

Step-by-step explanation:

Answer:

black

black

Step-by-step explanation:

Answer:

p^3 + 12(p^2)q + 48p(q^2) + 64(q^3)

Step-by-step explanation:

(p+4q)^3  -->

(3C3)(p^3) + (3C2)(p^2)(4q) + (3C1)(p)(4q)^2 + (3C0)(4q)^3 =

p^3 + 12(p^2)q + 48p(q^2) + 64(q^3)

Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

Question: Express the following as a linear combination of u =(3, 1,6), v = (1.-1.4) and w=(8,3,8). (14, 9, 14) = ____ u- _____ v+ _____

Current Progress: To express the given vector as a linear combination of u, v, and w, we need to find scalars a, b, and c such that (14, 9, 14) = a*u + b*v + c*w.

Step 1: Write the equation in component form:
(14, 9, 14) = (3a + b + 8c, a - b + 3c, 6a + 4b + 8c)

Step 2: Equate the corresponding components and solve for a, b, and c:
3a + b + 8c = 14
a - b + 3c = 9
6a + 4b + 8c = 14

Step 3: Solve the system of equations using any method (substitution, elimination, etc.). One possible solution is a = 1, b = -1, and c = 3.

Step 4: Plug the values of a, b, and c back into the linear combination equation:
(14, 9, 14) = 1*u + (-1)*v + 3*w

Step 5: Simplify the equation:
(14, 9, 14) = u - v + 3w

Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

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9514 1404 393

Answer:

  x + y = 60

Step-by-step explanation:

Vertical angles are congruent.

Equation/Solution for x:

  85 = 3x +55

  30 = 3x . . . . . . subtract 55 from both sides

  10 = x . . . . . . . divide both sides by 3

Equation/Solution for y:

  95 = 2y -5

  100 = 2y . . . . add 5 to both sides

  50 = y . . . . . . divide both sides by 2

The objective:

  x + y = 10 + 50

  x + y = 60

Answer: 25.6

Step-by-step explanation:

\((d-3) \tan 37^{\circ}=17\\\\d-7=\frac{17}{\tan 37^{\circ}}\\\\d=\frac{17}{\tan 37^{\circ}}+3 \approx \boxed{25.6}\)

Answer:

2.45%

Step-by-step explanation:

(2.86 - 2.79) / 2.86 = 0.0245

0.0245 x 100 = 2.45%

Answer:

c

Step-by-step explanation: