Can’t get these 15 for whoever answers

The dimensions of the box are Length = 10 inches, Width = 5 inches, and Height = 7 inches.

Given data:Length = 2W

Height = W + 2

Volume = 350 cubic inches

We know that the volume of the box is given by the formula:

Volume = Length x Width x Height

i.e., Volume = L x W x H = 350 cubic inches

So, substituting the values, we get350 = (2W)(W)(W+2)

Multiplying the brackets out,

we get:350 = \(2W^3 + 4W^2\)

Rearranging, we get\(:2W^3 + 4W^2\)- 350 = 0

Dividing both sides by 2, we get:

\(W^3 + 2W^2 - 175 = 0\)

Now we need to find the value of W for which this equation holds. After trying a few values of W, we find that W = 5 is a solution.

Thus, the dimensions of the box are:

Length = 2W = 10 inches

Width = W = 5 inches

Height = W + 2 = 7 inches

Thus, the dimensions of the box are Length = 10 inches, Width = 5 inches, and Height = 7 inches.

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Answer:

-3.72

Step-by-step explanation:

5.58+-9

-9+5=-4

-4+.28=-3.72

Thus, the intermediate step in the form (x+a)² = b as a result of completing the square for the given equation is - (x + 10)² = 1 /3.

A quadratic equation can be made together into perfect square trinomial simply adding or removing elements from both sides, a technique known as "completing the square."

You can use the square's completion as another mathematical tool to solve a variety of problems:

Given expression:

-3x² - 298 = 60x - 1

isolating the x values:

-3x² - 60x = 298 - 1

-3x² - 60x = 299

Taking -3 common from the left hand side:

-3(x² + 20x) = 299

x² + 20x = - 299/3

This, can be written as:

x² + 2*10x = - 299/3

add both side by 100

x² + 2*10x + 100 = - 299/3 + 100

On simplification:

(x + 10)² = (-299 + 300) /3

(x + 10)² = 1 /3

Comparing obtained expression with the given form: (x+a)²=b

a = 10 and b = 1/3

Thus, the intermediate step in the form (x+a)² = b as a result of completing the square for the given equation is - (x + 10)² = 1 /3.

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Answer:

ldldlldldlsñspleleldldkkfkdosos

Explanation: Since the y moves to the right 2, then it changes from 0 to 2.

Answer:

c

Step-by-step explanation:

edge 2020

P = 140,000 - 41,000

P = 99,000

The population of Brownsville in 1990 was 99,000 people.

The scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).

What is dilation?

A dilation is a transformation that creates an image that has the same shape as the original but is larger.

• An enlargement is a dilation that produces a larger image.

• A reduction is a dilation that produces a smaller image.

• A dilation expands or contracts the original figure.

A dilation is a stretch or a shrink in the size and location of a figure or point.

The scale factor in a dilation is the amount by which the figure is stretched or shrunk.

The center of dilation is a reference point used to appropriately scale the dilation of a figure. Given a point on the pre-image, \((x_1, y_1)\)and a corresponding point on the dilated image \((x_2, y_2)\)and the scale factor,

k, the location of the center of dilation, \((x_0,y_0)\) is

\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\)

Hence, the scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).

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Compatible numbers are close in value to the real numbers, which simplifies problem-solving and estimation of the solution. 1,7,10/32 has a quotient (integer division) of 53 and a remainder ("leftover") of 14. The dividend is 1,7,10, while the divisor is 32.

Compatible numbers are those that divide equally into each other and are near to the numbers they are replacing. The outcome of a division is the quotient. 55,304 is not too far away from 56,000. 800 splits equally into 56,000 and is reasonably near to 875.

Our minds can occasionally spin when we are asked to find the total (in addition), difference (in subtraction), product (in multiplication), or quotient (in division). By rounding each number to the closest ten, twenty, fifty, or hundred, we employ suitable numbers to make the problem simpler to figure out mentally.

Numbers that are simple to mentally add, subtract, multiply, or divide are said to be compatible. To estimate a calculation, substitute compatible numbers for the actual numbers. Since it is simple to mentally calculate the sum of 800, the numbers 500 and 300 can be added together.

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Answer:

c = 75

Hope this helps!

Step-by-step explanation:

c + 38 = 113

c + 38 - 38 = 113 - 38

c = 113 - 38

c = 75

The required time it will take the school bus 2.5 hours to travel 120 kilometers.

That is Speed = distance÷ time. Alternatively, you can calculate the duration by dividing the distance traveled by the speed. You can figure out the third input if you know two of the inputs. For instance, if a car goes 120 miles in 2 hours, we can calculate the speed as 120 x 2 = 60 miles per hour.

We can use the formula:

\($\begin{equation}\text{time} = \frac{\text{distance}}{\text{speed}}\end{equation}$\)

where distance is measured in kilometers and speed is measured in kilometers per hour.

Substituting the given values, we have:

\($\begin{equation}\text{time} = \frac{120\text{ km}}{48\text{ km/h}} = 2.5\text{ hours}\end{equation}$\)

Therefore, it will take the school bus 2.5 hours to travel 120 kilometers.

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The cubic expression of (1 + i) is given as follows:

(1 + i)³ = 0.

The cubic expression is obtained elevating the binomial (1 + i) to the third power, as follows:

(1 + i)³.

Then we expand the expression, applying the rule for the cube of a binomial, hence:

(1 + i)³ = i³ + i² + i + 1.

The basic complex number relation is:

i² = -1.

Hence:

i³ = i² x i = -1 x i = -1.

Then the expression is given as follows:

i³ + i² + i + 1 = -i - 1 + i + 1 = 0.

The problem asks for the cubic expression for (1 + i).

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The two most generic and widely used valuation multiples in finance and investment analysis are the price-to-earnings (P/E) ratio and the enterprise value-to-earnings before interest, taxes, depreciation, and amortization (EV/EBITDA) multiple.

1. Price-to-Earnings (P/E) Ratio: The P/E ratio is calculated by dividing the market price per share of a company's stock by its earnings per share (EPS). It provides a measure of how much investors are willing to pay for each dollar of earnings generated by the company.

A high P/E ratio suggests that investors have high expectations for future growth and are willing to pay a premium for the stock. On the other hand, a low P/E ratio may indicate that the stock is undervalued or that investors have low expectations for future growth.

2. Enterprise Value-to-EBITDA (EV/EBITDA) Multiple: The EV/EBITDA multiple is calculated by dividing the enterprise value (EV) of a company by its earnings before interest, taxes, depreciation, and amortization (EBITDA).

The EV is the total market value of a company's equity and debt, minus its cash and cash equivalents. EBITDA represents the company's operating earnings before accounting for interest, taxes, depreciation, and amortization.

The EV/EBITDA multiple is commonly used in evaluating the valuation of companies, especially in the context of mergers and acquisitions. It provides a measure of a company's overall value relative to its earnings, without being affected by capital structure or tax considerations.

Both the P/E ratio and EV/EBITDA multiple are widely used because they are relatively easy to calculate and understand. However, it's important to note that these multiples have limitations and should be used in conjunction with other valuation methods and qualitative analysis to make informed investment decisions.

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Answer:

-1

Step-by-step explanation:

\(\frac{10-8}{-7- - 5}\) =\(\frac{2}{-7+5}\) = \(\frac{2}{-2}\) = -1

Ordered pairs are written (x,y)  The first number is the x coordinate and the second number is the y coordinate.

(-5,8)  and (-7,10)  You take the y's and subtract them that is your numerator.  Take the x's and subtract them.  That is your denominator.

Answer:

35=x+175

Step-by-step explanation:

So u make x stand alone and it will become x=175-35=140 positive crosses the equal to sign becomes negative then u continue

Answer:

Short Answer:

0.16666666666666666 hour

Detailed Answer:

Time = distance

speed

= 5mi

30mph

=5

30

= 0.166667 hour

= 10 minutes

= 00:10:00 (hh:mm:ss)

Step-by-step explanation:

There are 5 adults and 15 children in the group.

Let's solve the system of equations to determine the number of adults and children in the group.

From the first equation, we have a + c = 20. We can rearrange it to a = 20 - c.

Substituting this value of a into the second equation, we have 40(20 - c) + 20c = 500.

Simplifying this equation, we get 800 - 40c + 20c = 500.

Combining like terms, we have -20c = -300.

Dividing both sides by -20, we get c = 15.

Substituting this value of c back into the first equation, we have a + 15 = 20, which gives us a = 5.

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Answer:

Step-by-step explanation:

Since the numerator is missing, you want to multiply the denominator onto the other side.

5 x 7 =35

x=35

Answer:

x=35

Step-by-step explanation:

Easy way to solve is making x/5 an improper fraction (fraction whose numerator is equal to or greater than its denominator.)

How I solved it was by multiplying 7×5=35, then I plugged the value into x making it (35/5)=7.

Now just make it a proper fraction, 35÷5=7, now we have 7=7.

the statement that approximately 15.87% of students paid more than Jane for textbooks, it means that out of a given group of students, around 15.87% of them paid a higher price for textbooks compared to what Jane paid.

To find the percentage of students who paid more than Jane for textbooks, we need to calculate the area under the normal distribution curve to the right of Jane's value. Here are the steps:

Step 1: Standardize Jane's value using the z-score formula:

z = (x - μ) / σ

Where:

x = Jane's value ($550)

μ = Mean of the distribution ($500)

σ = Standard deviation of the distribution ($50)

z = (550 - 500) / 50

z = 50 / 50

z = 1

Step 2: Find the percentage of students who paid more than Jane by looking up the z-score in the standard normal distribution table or using a calculator. The standard normal distribution table provides the percentage of the area under the curve to the left of a given z-score. Since we want the percentage of students who paid more than Jane, we subtract the percentage from 1. Using the z-score of 1, we can find the percentage as follows:

Percentage = (1 - Area to the left of z-score) * 100

Using the standard normal distribution table or a calculator, we find that the area to the left of a z-score of 1 is approximately 0.8413.

Percentage = (1 - 0.8413) * 100

Percentage ≈ 15.87%

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The 715 cm² area of the disc and the ±5 cm² error tolerance, gives;

a) x = √(715/π) cm

b) The range for the radius is; [√(710/π) cm, √(720/π) cm]

c)

f(x) = π•x²

L = 715 cm²

E = 5 cm

d = √(5/π) cm

Area of the circular metal disk = 715 cm²

a) Required; The disk radius

Let A represent the area of the disk and let x represent the radius, we have;

A = π•x²

Therefore;

x = √(A/π)

Which gives;

x = √(715/π) cm

b) Allowed area error tolerance = ± 5 cm²

The allowed range of values for the area is therefore;

Which gives;

√(710/π) ≤ x ≤ √(720/π)

c) From the \( \epsilon / \delta \) definition of limits, we have;

\( \lim\limits_{x → √(715/π)} f(x) = 715 \)

Which gives;

f(x) = A = π•x²

L = 715

|f(x) - L| < E = 5 cm

|x - √(715/π)| < d = √(5/π)

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Answer: 7

Step-by-step explanation:

Answer: 7 or 5 because 7 is on the bottom but 5 is on the otherside which it looks like its the same value.

Scales on a wall, change of units conversion

1 inch = 4 1/2 feets

7 1/8 inches = ?

First convert to fractions

(4 + 1/2) • ( 7 + 1/8) =

apply distributive law ( a+b)•(c+d)= ac + ad + bc + bd

then length of wall= 4•7 + 4/8 + 7/2 + 1/16

= 28 + 8/16 + 56/16 + 1/16

= 28 + 64/16 + 1/16

= 28 + 4 + 1/16

= 32 + 1/16

lenght is 32 and 1/16 feet

CFSE = (2.73 × 10-19 J) / (1000 J/mol)

= 2.73 × 10-22 kJ/mol

The crystal field splitting energy (CFSE) can be calculated from the wavelength of maximum absorption.

The energy of a photon of light is proportional to its frequency (ν) and inversely proportional to its wavelength (λ).ν = c / λ

where,ν = frequency,

λ = wavelength,

c = speed of light in vacuum

The relationship between frequency (ν) and energy (E) is given by:

E = hν

where,

E = energy of a photon of light,

h = Planck's constant

The absorption of light in transition metal complexes is due to the promotion of an electron from a lower energy orbital to a higher energy orbital.
Therefore, the energy of the photon of light absorbed (E) must be equal to the energy difference (ΔE) between the two orbitals.
ΔE = hc / λwhere,

ΔE = energy difference,

h = Planck's constant,

c = speed of light in vacuum,

λ = wavelength of maximum absorptionThe crystal field splitting energy (CFSE) is equal to the energy difference between the d orbitals of a transition metal ion that are split in energy due to the presence of ligands around the ion.
Therefore,CFSE = ΔE

where,ΔE = energy difference calculated above
Therefore, the crystal field splitting energy (CFSE) for the [CrCl6]3- ion is:

CFSE = ΔE

= hc / λ= (6.626 × 10-34 Js) × (2.998 × 108 m/s) / (735 × 10-9 m)

= 2.73 × 10-19 J
The value of the CFSE can be converted from joules to kilojoules per mole (kJ/mol).1 J = 1 kg m2 s-21 kJ/mol

= 1000 J/mol

Therefore,CFSE = (2.73 × 10-19 J) / (1000 J/mol)

= 2.73 × 10-22 kJ/mol

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∠Q and ∠D along with sides TV and YW are proved  congruent.

Triangles are congruent when they have exactly the same three sides and exactly the same three angles.

Given are the two triangles that are congruent.

In ΔWQE and ΔVDK -

∠W = ∠V    {Given}

∠E = ∠K     {Given}

WQ = VD   {Given}

By AAS criteria, the triangles are congruent.

So, by corresponding parts of congruent triangles, ∠Q and ∠D are congruent.

In ΔVTY and ΔWYX -

∠Y = ∠X    {Given}

∠T = ∠Y     {Given}

VY = WX   {Given}

By AAS criteria, the triangles are congruent.

So, by corresponding parts of congruent triangles, TV and YW are congruent.

Therefore, ∠Q and ∠D along with sides TV and YW are proved  congruent.

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Answer:

son age: X

man_age= 5X

in 3 years: we have:  (man_age+3)(X+3)=380

we can replace the man age by 5X and we get :

(5X+3)(X+3)=380

it is a quadratic equation with 2 solutions. One negative and 7

The solution is thus 7, since age can not be negative.

The son is thus 7 and the dad 5 times more 35

Step-by-step explanation:

A 1 mile by 1 mile area of land is equivalent to a square that measures one mile on each side. 1 mile by 1 mile area of land contains 640 acres

A 1 mile by 1 mile area of land is equivalent to a square that measures one mile on each side. To determine the number of acres in this square, we need to use the formula for the area of a square, which is A = side x side. Since the side of the square is one mile, the area of the square is 1 mile x 1 mile = 1 square mile.

As we know from the previous question, there are 640 acres in a square mile. Therefore, a 1 mile by 1 mile area of land contains 640 acres. This means that the total area of the square is equivalent to 640 acres.

This information is useful for individuals who work with land or are interested in purchasing or selling land. It is important to have a clear understanding of the size of a particular piece of land and its value in order to make informed decisions. Knowing that a 1 mile by 1 mile area of land contains 640 acres can be a helpful tool in determining the value of a property and understanding its potential uses.

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Answer:

The equation simplifies to x

Step-by-step explanation:

(2x + 8) - (x + 8)

2x + 8 - x - 8

x

Hope this helped!

The solution to this equation \(y" - 5y' + 4y = e^(3x)\) which is a non homogeneous differentia equation is  \(y(x) = c1 e^(4x) - (1/4) c1 e^(3x) + c2 e^(x) + (1/6) e^(4x)\), where c1, c2 are the arbitrary constants of  the integration.

The given equation is a non homogeneous second-order differential equation and to solve it using the method of variation of parameters, we must first find the the general solution of the corresponding homogeneous equation \(y" - 5y' + 4y = 0.\)

we have;

\(r^2 - 5r + 4 = 0\)

By factorization, it become;

(r - 4)(r - 1) = 0

With the roots as r = 4 and r = 1, The general solution of the homogeneous equation is given as;

\(y_h(x) = c1 e^(4x) + c2 e^(x)\)

Form of non homogenous equation is given as;

\(y_p(x) = u1(x) e^(4x) + u2(x) e^(x)\)

where u1(x) and u2(x) are functions to be determined.

First derivative of  y_p(x) '

\(y_p'(x) = u1'(x) e^(4x) + 4u1(x) e^(4x) + u2'(x) e^(x) + u2(x) e^(x)\)

Second derivative of  y_p(x) '

\(y_p''(x) = u1''(x) e^(4x) + 8u1'(x) e^(4x) + 16u1(x) e^(4x) + u2''(x) e^(x) + 2u2'(x) e^(x) + u2(x) e^(x)\)

When this y_p(x), y_p'(x), and y_p''(x) is inputed into the nonhomogeneous equation, we have

\(u1''(x) e^(4x) + 8u1'(x) e^(4x) + 16u1(x) e^(4x) + u2''(x) e^(x) + 2u2'(x) e^(x) + u2(x) e^(x) - 5[u1'(x) e^(4x) + 4u1(x) e^(4x) + u2'(x) e^(x) + u2(x) e^(x)] + 4[u1(x) e^(4x) + u2(x) e^(x)] \\= e^(3x)u1''(x) e^(4x) + 4u1'(x) e^(4x) + u2''(x) e^(x) + 2u2'(x) e^(x) = e^(3x)\)

\(u1''(x) + 4u1'(x) = 0\\u2''(x) + 2u2'(x) = e^(3x)\)

The solutions of the above equations are ;

\(u1'(x) = c1 e^(-4x)\\u2'(x) = (1/2) e^(3x)\)

Integrating u1'(x) with respect to x,

\(u1(x) = (-1/4) c1 e^(-4x) + c2\\u2(x) = (1/6) e^(3x) + c3\)

N.B: c1,c2,c3 are arbitrary constants of integration.

The solution of the nonhomogeneous equation is given as;

\(y_p(x) = (-1/4) c1 e^(-x) e^(4x) + (1/6) e^(3x) e^(x)\\y_p(x) = (-1/4) c1 e^(3x) + (1/6) e^(4x)\\y(x) = y_h(x) + y_p(x)\)

By substituting \(y_h(x)\)and \(y_p(x)\) into the above equation, we have

\(y(x) = c1 e^(4x) + c2 e^(x) - (1/4) c1 e^(3x) + (1/6) e^(4x)\\y(x) = c1 e^(4x) - (1/4) c1 e^(3x) + c2 e^(x) + (1/6) e^(4x)\)

Thus, the general solution of the non homogeneous equation \(y" - 5y' + 4y = e^(3x) is y(x) = c1 e^(4x) - (1/4) c1 e^(3x) + c2 e^(x) + (1/6) e^(4x)\), where c1, c2 are arbitrary constants of integration.

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Answer:

24

Step-by-step explanation:

dont exaclty have an explanations - its just the calculations

Thus, if M = $1.5 trillion, V = 7, and P = 1.05, the real output of the economy (Q) is $10 trillion.

The equation of exchange is an economic equation that relates the money supply (M) with the price level (P), the velocity of money (V), and the real output of the economy (Q). The equation is M x V = P x Q.

Using the given values of M = $1.5 trillion, V = 7, and P = 1.05, we can solve for Q by rearranging the equation as Q = M x V / P.

Plugging in the numbers, we get:

Q = ($1.5 trillion x 7) / 1.05 = $10 trillion

Therefore, if M = $1.5 trillion, V = 7, and P = 1.05, the real output of the economy (Q) is $10 trillion.

It's worth noting that the equation of exchange is a theoretical model and may not reflect actual economic conditions. In practice, changes in any one of the variables (M, V, P, or Q) can affect the others, and there may be other factors at play that influence the economy.

Nonetheless, the equation of exchange provides a useful framework for thinking about the relationship between the money supply, prices, and economic activity.

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Complete question

in the equation of exchange, if m = $1.5 trillion, v = 7, and p = 1.05, then:

Find real output.