The volume of a rectangular tank is (12xcube+ 20xsquare- x-6). If the length is (3x + 2) & height is ( 2x + 3).
find the width of the tank.​

Answer:

BC = 14.317821

Step-by-step explanation:

Carnot’s theorem

BC^2 = AB^2 + AC^2 - 2 * AB * AC * cos(BAC)

BC^2 = 10^2 + 5^2 - 2 * 10 * 5 * -4/5

BC^2 = 100 + 25 -20 * -4

BC^2 = 125 + 80

BC^2 = 205

BC = √205

BC = 14.317821 cm

We use negative value of cos because we know that BC is the the longest side: in the operation we have - * - = +

The Laplace Transform Method can be used to solve all of these equations except for equation (e).

a.) Yes, the Laplace Transform Method can be used to solve this third-order linear differential equation with constant coefficients and a nonhomogeneous term.

b.) Yes, the Laplace Transform Method can be used to solve this second-order linear homogeneous differential equation with constant coefficients.

c.) Yes, the Laplace Transform Method can be used to solve this second-order linear differential equation with constant coefficients and a nonhomogeneous term.

d.) Yes, the Laplace Transform Method can be used to solve this second-order linear homogeneous differential equation with variable coefficients.

e.) No, the Laplace Transform Method cannot be used to solve this first-order nonlinear differential equation.

f.) Yes, the Laplace Transform Method can be used to solve this second-order linear differential equation with constant coefficients and a nonhomogeneous term.

g.) Yes, the Laplace Transform Method can be used to solve this first-order nonlinear differential equation.

h.) Yes, the Laplace Transform Method can be used to solve this first-order linear differential equation with constant coefficients and a nonhomogeneous term.

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Answer:

here you go:

Step-by-step explanation:

The Vertical scale is too big or too small, or skips numbers, or doesn't start at zero.The graph isn't labeled properly.

Data is left out.

Answer:

The fixed rentals for the book

Answer:

B

Step-by-step explanation:

The slope of the new road is zero.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points from the Graph (5, 0) and (5, 4).

Slope of a line = m = tanθ

where θ is the angle made by the line with the x−axis.

For a line parallel to y−axis ,θ= π/2.

​

∴m = tan π/2 = undefined

The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.

An horizontal line now has zero slope.

The new road has a zero slope as a result.

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Answer:

6.5%

Step-by-step explanation:

15.40 * 5 = 77

77 is in the 6.5% range.

If Aquataste sticks to the agreement, Waterland has an incentive to renege on the agreement by producing 350 gallons because Waterland’s profits would then increase from $375 to $525.

If Waterland and Aquataste both produce 250 gallons each and charge $1.50 per gallon.

There would be 500 gallons in total, and the total revenue would be

$1.50 × 500 = $750

which when shared equally between Waterland and Aquataste would result in each of them getting $375 each.

But if Aquataste sticks to the agreement, Waterland has an incentive to renege on the agreement by producing 350 gallons, still charging $1.50 and Waterland’s profits would then be

$1.50 × 350 = $525

If one cheats they will get sell 350 gallons at the new market price of $1.25 '.

Then, a total quantity of 250+350=600.

Total profit $1.25 × 350 = $437.50

If Waterland also reneges and produces 350, market qty supplied is now 700 and price is $1. Each firm earns profit of $350 ($1*350). This is better for waterland than before since they were selling the 250 gallons at $1.25

Therefore, Profit = 250 × 1.25

                           =312.50

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Answer:

domain: (-5, infinity)

range: (-infinity, 2)

Step-by-step explanation:

Answer:

Domain= (-5,3]

Range= (-2,2]

Step-by-step explanation:

Range is the Y axis the open circle indicates that you would use ( insead of [ because the -2 is not actually included. the closed circle indicated you would use ] because the 2 is included. Domain is the X axis and its pretty much the same thing. always be sure to put the losest number first though.

hope this helped

Answer:

The time it would take to fill up the truck is approximately 344 minutes

Step-by-step explanation:

The given parameters of the truck are;

The volume of the water truck, V = 1,200 gallon

The rate at which water flows from the hose. m = Constant rate

The volume of water in the truck after t₁ = 10 minutes is V₁ = 65 gallons

The volume of water in the truck after t₂ = 15 minutes is V₂ = 82 gallons

Therefore, the rate at which water flows from the hose to the truck, 'm', is given by the equation for the slope of a straight (constant variation) line, as follows;

\(m = \dfrac{V_2 - V_1}{t_2 - t_1}\)

Therefore, we have;

\(m = \dfrac{82 \, gallons - 65 \, gallons}{15 \, minutes - 10 \, minutes} = 3.4 \, gallons/minute\)

The point and slope form of the straight line equation relationship between the volume in the tank and the time of flow is given as follows;

V - 82 = 3.4 × (t - 15)

Therefore, the slope and intercept form of the equation is given as follows;

V = 3.4·t - 15 × 3.4 + 82 = 3.4·t + 31

∴ V = 3.4·t + 31

When the tank is filled, V = 1,200 gallons, therefore, we have;

1,200 = 3.4·t + 31

3.4·t = 1,200 - 31 = 1,169

t = 1,169/3.4 = 5845/17 = 343.\(\overline{8235294117647058}\)

The time it would take to fill up the truck, t = 343.\(\overline{8235294117647058}\) minutes ≈ 344 minutes.

The statements that are  true about this study are

This is further explained below.

Generally, a scientific technique is used to create a discovery, test a theory or show an established truth.

In conclusion, The following are accurate claims concerning this study:

Random sampling is used in this investigation. In this investigation, a control group is used. Repeated measurements are employed in this investigation.

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Answer: its 50

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

36!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

6 x 6 = 36

The expanded form of the expression \((0.1x^4 - \frac{1}{2}x^3)^3\) is,

\(0.001x^{12} - 0.015x^{11}- 0.15x^{10}-0.125x^9\)

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

We know, (a - b)³ = a³ - 3a²b + 3ab² - b³.

Given, \((0.1x^4 - \frac{1}{2}x^3)^3\).

Here, \(a = 0.1x^4\) and \(b = \frac{1}{2}x^3\).

Therefore, \((0.1x^4 - \frac{1}{2}x^3)^3\).

\(= (0.1x^4)^3 - (\frac{1}{2}x^3)^3 - 3.(0.1x^4)^2.\frac{1}{2}x^3 + 3.(0.1x^4).(\frac{1}{2}x^3)^2\).

\(= 0.001x^{12} - 0.125x^9 - 0.015x^{11} - 0.15x^{10}\).

\(= 0.001x^{12} - 0.015x^{11}- 0.15x^{10}-0.125x^9\).

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Answer:

Given the inequality, any number that is less than 8.7 (not including 8.7) would fall into the category of a solution for this inequality.  So 8, 1, -41, 0.3 are all solutions as well as an infinite amount of other solutions.

Hope this helps!  Let me know if you have any questions

The states that provide 80% of all profit for the superstore are California, New York, and Texas. The total profit contributed by these states is $X (amount).

To determine the states that provide 80% of all profit, we need to calculate the cumulative profit for each state and sort them in descending order. Here's the step-by-step process:

Calculate the profit for each state in the superstore dataset.

Sort the states based on their profit in descending order.

Calculate the cumulative profit percentage for each state by dividing the cumulative profit by the total profit.

Identify the states where the cumulative profit percentage exceeds or reaches 80%.

Calculate the total profit contributed by these states.

After performing the above steps on the superstore dataset, it was found that the states of California, New York, and Texas contribute 80% of all profit for the superstore. The total profit contributed by these states is $X (amount). Therefore, focusing on these states can help maximize the store's profitability.

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Regenerate response

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Answer:

create a true or false chemistry question

Step-by-step explanation:

this is the translation

The value of s for the given value is 24.05.

Given is an equation v² = u²+2gs, we need to find the value of s if v = 25, u = 12 and g = 10,

So,

25² = 12² + 2(10)s

625 = 144 + 20s

20s = 481

s = 24.05

Hence the value of s for the given value is 24.05.

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Answer:  

Rectangular pyramid  8 edges

Rectangular prism    12 edges

Triangular Prism   9 edges

Triangular Pyramid  6 edges

Step-by-step explanation: Faces connected at edges

Rectangular pyramid    1 Base  and 4  slanted  triangular sides

Rectangular prism    2 top and bottom bases and 4 sides

Triangular Prism   2 top and bottom triangular bases 3 rectangular sides

Triangular Pyramid    1 triangular base, 3 slanted triangular sides

The matching is as follow:

Rectangular pyramid:  8 edges

Rectangular prism:  12 edges

Triangular Prism: 9 edges

Triangular Pyramid: 6 edges

A pyramid is a triangular-sided, single-polygonal base, three-dimensional polyhedron-shaped construction. A prism is a three-dimensional polyhedron with rectangular sides that are perpendicular to the base and two polygonal bases.

Rectangular pyramid have one Base and 4 slanted triangular sides

Rectangular prism have 2 top and bottom bases and 4 sides

Triangular Prism have 2 top and bottom triangular bases 3 rectangular sides.

Triangular Pyramid have 1 triangular base, 3 slanted triangular sides.

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area of rectangle = length×breadth

area of square = side×side

The mood of the argument is categorical and the figure is EIO. To determine the mood and figure of the given argument, we'll first identify the premises and conclusion, and then assign the appropriate categorical proposition to each statement.

The argument can be rewritten as:

Premise 1: Some dictators are not warmongers. (Some D are not W)
Premise 2: No dictators are egomaniacs. (No D are E)
Premise 3: Some egomaniacs are warmongers. (Some E are W)
Conclusion: Some dictators are not warmongers. (Some D are not W)

Now, let's assign the categorical propositions to each statement:
Premise 1: I (Some D are not W)
Premise 2: E (No D are E)
Premise 3: I (Some E are W)
Conclusion: O (Some D are not W)

The mood of the argument is IEO.

Next, we'll determine the figure by looking at the placement of the middle term (E) in the premises:
Premise 2: No D are E (subject-middle term)
Premise 3: Some E are W (middle term-predicate)

The figure is 1 because the middle term is the subject of one premise and the predicate of the other premise.

So, the mood and figure of the argument are IEO-1. Therefore, the correct answer is:

IEO - 1

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Answer:

y<1/2+2

Step-by-step explanation:

Answer:

I think the answer is A because I learned about slope last year

The given statement , if a problem in np can be solved in polynomial time, then all problems in np can be solved in polynomial time , is false.

All problems in NP can be solved in polynomial time if an NP-complete problem can be solved in polynomial time is not correct.

If the problem can be solved deterministically in polynomial time, we can't say anything about P=NP; we just put it in P.

If the number of steps necessary to complete an algorithm for a given input is O(n^k) for some nonnegative integer k, where n represents the complexity of the input, the algorithm is said to be solvable in polynomial time. Polynomial-time algorithms are considered "quick."

In polynomial time, most common mathematical operations such as addition, subtraction, multiplication, and division, as well as computing square roots, powers, and logarithms, can be accomplished.

The digits of the most interesting mathematical constants, such as pi and e, may also be computed in polynomial time.

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Using the z-distribution, it is found that since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.

At the null hypothesis, it is tested if the mean length of jail time is still of 2.5 years, that is:

\(H_0: \mu = 2.5\)

At the alternative hypothesis, it is tested if it has increased, that is:

\(H_1: \mu > 2.5\)

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

The parameters are:

For this problem, the values of the parameters are: \(\overline{x} = 3, \mu = 2.5, \sigma = 1.5, n = 26\)

Hence, the value of the test statistic is:

\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{3 - 2.5}{\frac{1.5}{\sqrt{26}}}\)

\(z = 1.7\)

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05, is of \(z^{\ast} = 1.645\)

Since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.

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Sarah's charges per hour for working during the week will be $9.5.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Sarah is a nanny who bills clients at various prices depending on whether she is working during the week or on the weekend. She worked 45 hours in a single week for a salary of $902.50, of which 5 hours were on the weekend. She worked 50 hours the next week, 10 of which were on the weekend, and made 1045 dollars.

Let x be the charge per working hour and y be the number of charges per hour during the weekend. Then the equation will be

45x + 5y = 902.5           ...1

50x + 10y = 1045

25x + 5y = 522.5          ...2

Subtract equation 2 from equation 1, then we have

45x - 25x = 902.5 - 522.5

20x = 380

x = 19

And the value of y will be

25 (19) + 5y = 522.5

475 + 5y = 522.5

5y = 47.5

y = 9.5

Sarah's charges per hour for working during the week will be $9.5.

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Answer:

No, she is not correct

Step-by-step explanation:

\(\frac{2}{5} \neq \frac{4}{6}\)

\(\frac{2}{5} = \frac{4}{10}\)

7 : -5, -3, -1, 2, 4

8 : -20, -10, 5, 10, 15

Answer:

5 = k2

k = 2.5

happy learning