What is the volurne of the figure? Enter the answer in the box.
Cubic feet

Answer:

\(x = - 23\)

Step-by-step explanation:

\( \frac{20 - (40 + x)}{12} \times 10 = 32.5 - 30 = 2.5\)

\( = > \frac{20 - (40 + x)}{12} = 0.25\)

\( = > \frac{20 - (40 + x)}{12} = \frac{1}{4} \)

\( = > 20 - (40 + x) = \frac{12}{4} = 3\)

\( = > 40 + x = 20 - 3 = 17\)

\( = > x = 17 - 40 = - 23\)

Answer:

I don't understand the "table."  I'll assume x increases over a range of values.

Step-by-step explanation:

See attached table.

The first piece is 7.2 feet long, and the second piece is 12- 7.2 = 4.8 feet long.

The ratio of the two pieces is 3 to 2. This means that the length of the first piece is 3/5 of the total length, and the length of the second piece is 2/5 of the total length.

If we let x be the length of the first piece, the length of the second piece is:

12 - x

Since the ratio of the two pieces is 3 to 2, we can set up the equation:

(3/5) * 12 = x

Solving for x:

x = 7.2

So, the first piece is 7.2 feet long, and the second piece is 12- 7.2 = 4.8 feet long

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Answer:

i don't under stand if they are exponents or numbers.

Step-by-step explanation:

if they are numbers then -1

_______________________________

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The total bill for servicing her car will be £112.8

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Mrs. Browns bill for servicing her car is £96 plus VAT.

And, VAT is charged at 17.5%.

Now,

Since, VAT is charged at 17.5%.

So, The VAT charge = 17.5% of £96

                                = 17.5 / 100 x £96

                                = £16.8

Hence, The total bill for servicing her car = £96 + £16.8

                                                                = £112.8

Thus, The total bill for servicing her car will be £112.8

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Answer:

Tax is $1.66

Step-by-step explanation:

(18.40×0.09) = 1.66

The appropriate percentages for the Extremely Patriotic group are 19.42% in 1999 and 32.27% in 2010, corresponding to option d: 193/994 compared to 324/1004.

To calculate the appropriate percentages for the Extremely Patriotic group, we need to compare the counts from the 1999 and 2010 samples.

In 1999:

Number of Extremely Patriotic responses: 193

Total number of respondents: 994

In 2010:

Number of Extremely Patriotic responses: 324

Total number of respondents: 1004

Now we can calculate the percentages:

Percentage for 1999: (193 / 994) × 100 = 19.42%

Percentage for 2010: (324 / 1004) × 100 = 32.27%

Therefore, the appropriate percentages as part of the exploratory data analysis for the Extremely Patriotic group are:

19.42% compared to 32.27% (option d: 193/994 compared to 324/1004).

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Answer:

Step-by-step explanation:

conversion factors:

m:cm= 1:100

dm:km= 1,000,000:1

m:mm= 1:1000

hg:dg= 1:1000

g:cg= 1:100

kg:g=1000

so we plug in:

5m=500 cm

5246dm=0.5246km

5.246m=5246mm

3.7hg=3700dg

0.37g=37cg

370kg:370000

so the word is SPEAKUP

Answer:

4^5/ 4^-9

Step-by-step explanation:

the third one

The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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The cubic function only has one real zero, which is x = -2 - √5/3  = -2.75

Here we want to find the zeros of the cubic function:

y = 27(x + 2)³ + 5

The zeros of a function are the values of x such that the outcome is y, then we need to solve the equation:

0 =  27(x + 2)³ + 5

-5 =  27(x + 2)³

-5/27 = (x + 2)³

∛(-5/27) = x + 2

-√5/3 = x + 2

-2 - √5/3 = x

That is the only zero of the function (with a multiplicity of 3).

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Answer:

first graph the y-intercept start at 0 and go up 2 plot that. Then, go up 7 from 2 and to the right 1

Step-by-step explanation:

Answer: $25.92

Step-by-step explanation: Using proportions, I found what 8% of 24 is. 8/100 = x/24, as shown in the photo. 8 x 24 = 192. Divide by 100 for 1.92 and that is the tax. Add 1.92 to the original of 24 to get $25.92

The x-coordinates of the inflection points of this function are −1 and −1/3.

In this case, we are looking for the open intervals on which the function f(x) = −x⁴ − 9x³ + 4x − 6 is concave up (down) and the x-coordinates of the inflection points of the function.

To find the open intervals on which f is concave up, we must first calculate the second derivative of the function.

The second derivative of the function f(x) is

=> f''(x) = −12x³ − 27x² + 4.

This means that the function f is concave up when f''(x) > 0 and concave down when f''(x) < 0. Solving the equation f''(x) > 0 will give us the intervals on which the function is concave up.

These are the intervals (−∞, −1), (−1, −1/3), and (−1/3, ∞).

Similarly, solving the equation f''(x) < 0 will give us the intervals on which the function is concave down. These intervals are (−1, −1/3) and (−1/3, 0).

We can now determine the x-coordinates of all inflection points of the function f by finding the x-values at which the second derivative is equal to zero.

Solving the equation f''(x) = 0 will give us the x-coordinates of the inflection points, in this case −1 and −1/3.

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Rounding to the nearest degree, the angle of depression is approximately 27.5 degrees.

The angle of depression is an angle formed by a horizontal line and a line of sight from a higher point to a lower point. The angle of depression is measured in degrees and is always a positive value. It is typically used in navigation and surveying, as well as in other fields such as architecture and engineering.

In a common scenario, an observer is located at a higher point and is looking down at an object on the ground. The angle of depression is the angle formed by an imaginary line extending horizontally from the observer's position to the point on the ground directly below the observer, and a line extending from the observer's position to the object.

It is complementary to angle of elevation which is formed by observer looking up to an object above the observer's position.

To find the angle of depression, we can use the tangent function of the angle of depression.

tan(θ) = opposite / adjacent

where opposite is the distance from the plane to the building, and adjacent is the distance from the plane to the building (800 ft)

tan(θ) = \(\frac{463}{800}\)

To find the angle of depression in degrees, we need to use the inverse tangent function (arctan)

θ = arctan(\(\frac{463}{800}\))

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Answer:

x = 11

Step-by-step explanation:

68 + 2x = 90

-68          -68

        2x = 22

         /2     /2

          x = 11

Answer: The Number is 24.

Step-by-step explanation:
1) Set unknown number to a variable (I'm going to do x).
2) Set up equation: 5x = 120.

3) Simplify by dividing both sides by 5: 5x/5 = 120/5 = 24.

The system of differential equations x1(t) and x2(t) are indeed solutions to the given system of differential equations\(. [\begin{array}{ccc}3&-2\2&-2\end{array}\right] * [\begin{array}{c}x1(t)\x2(t)\end{array}\right]\) ] ]

To verify that x1(t) and x2(t) are solutions to the given system of differential equations dx/dt = Ax, we can substitute them into the equation and check if they satisfy it.

We have:

A =\([\begin{array}{ccc}3&-2\2&-2\end{array}\right]]\)

\(x1(t) = 1/3(4e^{(2t) - e^{(-t))\)

\(x2(t) = 2/3(e^{(2t)} - e^{(-t))\)

Let's calculate dx1/dt and dx2/dt:

\(dx1/dt = 1/3 * (8e^{(2t)} + e^{(-t)) = 2/3 * (4e^(2t) + 1/2e^(-t))\)

\(dx2/dt = 2/3 * (2e^{(2t)} + e^{(-t)}) = 2/3 * (2e^{(2t)}+ 1/2e^{(-t)})\)

Now let's calculate Ax for the given solutions:

Ax =\([\begin{array}{ccc}3&-2\2&-2\end{array}\right]] * [\begin{array}{c}x1(t)\x2(t)\end{array}\right]]\)

= \([\begin{array}{c}3x1(t) - 2x2(t)\2x1(t) - 2x2(t)\end{array}\right]]\)

=\([\begin{array}{c}(4e^{(2t)} - e^{(-t)})\(2e^{(2t)} - e^{(-t)})\end{array}\right]\)

Therefore, we can see that:

\(dx/dt = [\begin{array}{c}2/3 * (4e^(2t) + 1/2e^(-t))\2/3 * (2e^(2t) + 1/2e^(-t))\end{array}\right]\)

=\([\begin{array}{ccc}3&-2\2&-2\end{array}\right] * [\begin{array}{c}x1(t)\x2(t)\end{array}\right]\)

= Ax

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Answer:

Im pretty sure it's (-4,-1)

Answer:

Step-by-step explanation:

-1 3/4 = -1.75.

Answer:

$37.20

Step-by-step explanation:

The total amount earned will be:

= $24.50 + $12.70

= $37.20

A situation in which he has zero dollars is when he spends the whole $37.20

Answer:

It would be 5949.70

Step-by-step explanation:

The hundreds place is the first two number after a decimal point. In this case it would be 6 and 9. Now if were rounding to the hundredths, you would look at the number right after 9 to see if you could round up. That number happens to be an 8, and if that number is greater than 5, than it will round up the number before it. Now since 8 would round up nine, that would make it a 10, but that can not happen, so you would have to round up the first number as well, which would give you .70.

Answer:

5949.70

Step-by-step explanation:

Yes, I know this is a bagillion years late, but I was bored so I'm just answering random questions lol. Have a nice day :)

The measure of angle fge is 53.13°.

The equation used to find the measure of angle fge is the Law of Cosines. The Law of Cosines states that for any triangle, the square of the length of any side is equal to the sum of the squares of the other two sides, minus twice the product of those sides and the cosine of the angle opposite the side.

Using the Law of Cosines, we can solve for the measure of angle fge as follows:

\(fge = cos-1((a^2 + b^2 - c^2) / 2ab)\)

For example, if the length of side a is 3, the length of side b is 4, and the length of side c is 5, then the measure of angle fge can be calculated as follows:

fge =\(cos-1((3^2 + 4^2 - 5^2) / 2(3)(4))\)

fge = \(cos-1(1/6)\)

fge = 53.13°

Therefore, the measure of angle fge is 53.13°.

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The prοbability that the prοpοrtiοn οf red marbles in the sample frοm bin a is greater than the prοpοrtiοn οf red marbles frοm bin b is 0.1573.

Prοbability is a way οf calculating hοw likely sοmething is tο happen. It is difficult tο prοvide a cοmplete predictiοn fοr many events. Using it, we can οnly fοrecast the prοbability, οr likelihοοd, οf an event οccurring. The prοbability might be between 0 and 1, where 0 denοtes an impοssibility and 1 denοtes a certainty.

Here by using probability calculator for sampling distribution of \(p_1-p_2\).

\(z=\frac{\hat p_1-\hat p_2}{\sqrt{\frac{p_1(1-p_1)}{n_1}+\frac{p_2(1-p_2)}{n_2}}}\)

Here \(\hat p_1=p_1\) = 40% = 0.40 and \(\hat {p_2}=p_2\) = 52% = 0.52 and \(n_1=0 , n_2=40\)

=> \(z=\frac{0.40-0.52}{\sqrt{\frac{0.40(1-0.40)}{0}+\frac{0.52(1-0.52)}{40}}}\)

=> z = -1.00561

Here \(\hat p_1 > \hat p_2\)

=> \(\hat p_1 - \hat p_2 > 0\)

Then , P(x<z) = 0.1573.

Hence  the prοbability that the prοpοrtiοn οf red marbles in the sample frοm bin a is greater than the prοpοrtiοn οf red marbles frοm bin b is 0.1573.

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Yes, $9 for 4 visitors and $18 for 8 site visitors are proportional.

To determine whether or not $9 for 4 visitors and $18 for 8 visitors are proportional, we need to test if the ratio of the value to the number of visitors is the equal for both cases.

The ratio of cost to the quantity of visitors for $9 and four visitors is:

$9/4 visitors = $2.25/ visitors

The ratio of value to the quantity of visitors for $18 and eight visitors is:

$18/8 visitors = $2.25/ visitors

We are able to see that both ratios are equal to $2.25 per visitor.

Therefore, $9 for 4 visitors and $18 for 8 site visitors are proportional.

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In both the Vendor Compliance at Geoffrey Ryans (A) and Operational Execution at Arrows Electronics cases, there are common problems and challenges. These include issues related to vendor management.

One of the key problems faced by both companies is vendor compliance. This refers to the ability of vendors to meet the requirements and standards set by the company. Both cases highlight instances where vendors fail to meet compliance standards, leading to disruptions in the supply chain and operational inefficiencies. This problem affects the overall performance and profitability of the companies.

Another challenge faced by both companies is operational execution. This encompasses various aspects of operations, including inventory management, order fulfillment, and delivery. In both cases, there are instances where operational execution falls short, leading to delays, errors, and customer dissatisfaction. This challenge requires the companies to streamline their processes, improve communication and coordination, and enhance overall operational efficiency.

Overall, the problems and challenges in both cases revolve around effective vendor management, supply chain optimization, and operational excellence. Addressing these issues is crucial for both companies to improve their performance, meet customer demands, and maintain a competitive edge in the market.

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the value of the expression is 12.

To solve the following using BEDMAS 5X4 - (3 + 1)2 ÷ 2:BEDMAS is an acronym that represents the order of operations for arithmetic operations in the correct order, that is, "Brackets", "Exponents", "Division and Multiplication", and "Addition and Subtraction."The full form of BEDMAS is- B stands for Brackets.E stands for Exponents.D stands for Division.M stands for Multiplication.A stands for Addition.S stands for Subtraction.

The given expression is;5X4 - (3 + 1)2 ÷ 2When we solve this expression using the BEDMAS rule of the order of operations, we get;= 5 x 4 - (3 + 1) x 2 ÷ 2[Since brackets comes first, then multiplication and division, followed by addition and subtraction.]= 20 - 4 x 2 ÷ 2[Perform multiplication: 3 + 1 = 4 and 4 x 2 = 8]= 20 - 8[Perform Division: 8 ÷ 2 = 4]= 12Therefore, the value of the expression is 12.The solution of the given expression using the BEDMAS rule of the order of operations is explained. The BEDMAS rule defines the correct order in which arithmetic operations should be performed.

It consists of four fundamental operations. They are brackets, exponents, multiplication and division, and addition and subtraction. The expression, 5X4 - (3 + 1)2 ÷ 2, can be solved using the BEDMAS rule of operations. First, we will simplify the brackets, followed by division and multiplication, then addition and subtraction. We will get the following expression 5 x 4 - (3 + 1) x 2 ÷ 2. We will then perform multiplication by finding the product of (3 + 1) and 2, which equals 8. Finally, we will perform division by dividing 8 by 2, which equals 4. After we have completed these steps, we will subtract 8 from 20 to get the final answer of 12.

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