The volume of a rectangular prism is the product of its length, width, and height. The length of a rectangle prism is 3 feet more than five times its height. The width is 5 feet less than six times its height. Express the length and width in terms of the height h. The length is The width is (Be sure to Write down the expanded form of the expression for the volume: expand the volume expression) (Express the interval in which the In what range must the height fall? He height must be)

Answer:

y=-12/11

Step-by-step explanation:

y-(-12/11)=0(x-(-12/13))

y+12/11=0(x+12/13)

y+12/11=0

y=-12/11

Since the slope equals 0, then the line is horizontal.

The net income for Griffin's Goat Farm, Inc., was \(\$184,340\).

The operating cash flow (OCF) for Kerber's Tennis Shop, we can use the following formula:

\(OCF = EBIT + Depreciation - Taxes + \triangle Working Capital\)

where EBIT is earnings before interest and taxes.

Calculate EBIT by subtracting interest expense from operating income:

EBIT = Operating Income - Interest Expense

We do not have the information for operating income, but we can use the fact that interest expense was. \(\$165,000\) to calculate EBIT.

EBIT = Interest Expense / (1 - Tax Rate)

= \(\$165,000 / (1 - 0)\)

= \(\$165,000\)

Calculate the change in working capital (Δ Working Capital). We are told that the company reduced its net working capital investment by \(\$69,000\), which means that working capital increased by  \(\$69,000\).

Therefore:

\(\triangle Working Capital = \$69,000\)

Now, we can calculate OCF:

OCF = EBIT + Depreciation - Taxes + Δ Working Capital

=\(\$165,000 + 0 - 0 +\ $69,000\)

=\(\$234,000\)

Therefore, the firm’s 2018 operating cash flow (OCF) was \(\$234,000\) .

To calculate the net income for Griffin's Goat Farm, we can use the following formula:

Net Income = EBIT - Interest Expense - Taxes

where EBIT is earnings before interest and taxes. We can calculate EBIT as:

EBIT = Sales - Costs - Depreciation

= \(\$686,000 - \$332,000 - \$65,000\)

=\(\$289,000\)

Next, we need to calculate taxes. We are given a tax rate of 24%, so:

Taxes = Tax Rate x (EBIT - Depreciation)

= \(0.24 \times (\$289,000 - \$65,000)= \$56,160\)

Now, we can calculate net income:

Net Income = EBIT - Interest Expense - Taxes

= \(\$289,000 - \$48,500 - \$56,160= \$184,340\)

For similar questions on Income

https://brainly.com/question/30157678

#SPJ11

Answer. 2, 3, 5, 7 , 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199

Step-by-step explanation:

There are 21 prime number between 100 and 200.

A number system is defined as a system of writing to express numbers.

A prime number is a whole number greater than 1 whose only factors are 1 and itself.

The prime numbers between 100 and 200 are

101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199.

One hundred one, one hundred three, one hundred seven, one hundred nine, One hundred thirteen, one hundred twenty seven, One hundred thirty one, one hundred thirty seven, one hundred thirty nine, one hundred forty nine, one hundred fifty one, one hundred fifty seven, one hundred sixty three,  one hundred sixty seven, one hundred seventy three, one hundred seventy  nine, one hundred eighty one, one hundred ninty one, one hundred ninty three, one hundred ninty seven, one hundred ninty nine.

There are no numbers  between 100 and 200 have 11 as a prime factor.

Hence there are 21 prime number between 100 and 200.

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ2

9514 1404 393

Answer:

  2x -3y = 15

Step-by-step explanation:

Add 5-y to put the variables on the same side of the equal sign. Then multiply by 3 to clear the fraction.

  5 = 2/3x -y

  15 = 2x -3y

  2x -3y = 15 . . . . standard form

Answer:

Option (B)

Step-by-step explanation:

From the graph attached,

If the parent function 'f' is shifted 4 units to the right,

g(x) = f(x- 4)

By shifting the parent function right vertical asymptote will come to x = 5 from x = 1.

Vertical asymptote y = 2 will remain same for the shifted function.

Therefore, function g(x) will have the asymptotes;

Vertical asypmtote: x = 5

Horizontal asymptote; y = 2

Therefore, Option (B) will be the correct option.

Answer: look at image

Step-by-step explanation:

Answer:

The answer you're looking for is D! I hope this helped :)

Answer:

8(2x + 5y)

Step-by-step explanation:

You cant fact (take out) 8 from both 16 and 40 since 8 is a factor for both.

Step-by-step explanation:

=16x+40y

=8(2x+5y)

Velocity vector in terms of and acceleration vector in terms of and can be found from the given information: r = a(3 - sinθ), and dθ/dt = 5Velocity

vector can be found by differentiating the position vector r with respect to time t:

Velocity vector, v = dr/dt Here, r = a(3 - sinθ) and θ is a function of time t.

Using product rule of differentiation:

dr/dt = a(-cosθ)(dθ/dt) + a(3 - sinθ)(dθ/dt)dr/dt = a[dθ/dt (3 - sinθ) - (cosθ)dθ/dt]

Velocity vector is: v = a[dθ/dt (3 - sinθ) - (cosθ)dθ/dt]

Acceleration vector can be found by differentiating.

the velocity vector with respect to time t: Acceleration vector, a = dv/dt Using the product rule of differentiation:

dv/dt = a[d²θ/dt² (3 - sinθ) - 2(dθ/dt)cosθ]

Acceleration vector is:

a = a[d²θ/dt² (3 - sinθ) - 2(dθ/dt)cosθ]

Therefore, the velocity vector in terms of θ and a is:

v = a[dθ/dt (3 - sinθ) - (cosθ)dθ/dt]

The acceleration vector in terms of θ and a is:

a = a[d²θ/dt² (3 - sinθ) - 2(dθ/dt)cosθ]

therefore, r = a(3 - sinθ), and dθ/dt = 5Velocity

learn more about differentiation here;: brainly.com/question/954654

#SPJ11

The number of Americans experience hearing loss sufficient to affect communication is: 1 in 4.

According to the National Institute on Deafness and Other Communication Disorders (NIDCD).

Approximately 1 in 4 adults in the United States aged 65 and older have hearing loss that is sufficient to affect communication.

This is based on data from a survey conducted by the NIDCD and the National Health Interview Survey.

NIDCD (National Institute on Deafness and Other Communication Disorders).

In the United States, 1 in 4 persons 65 and older suffer hearing loss severe enough to impair conversation.

This is based on information from surveys done by the National Health Interview Survey and the NIDCD.

The number of Americans who experience hearing loss sufficient to affect communication is: 1 in 4.

For similar questions on Loss

https://brainly.com/question/26483369

#SPJ11

Thus,  there are 720 different Loco Mocos that can be ordered if we consider all six protein options, but this number can vary depending on individual preferences and availability.

A Loco Moco is a popular Hawaiian dish that usually consists of a base of white rice topped with a hamburger patty, a fried egg, and brown gravy.

However, it can be customized by adding different types of proteins such as Portuguese sausage, bacon, turkey, hot dog, salmon, or mahi. So, how many different Loco Mocos can be ordered?

If we consider all six proteins listed in the question, we have six options for the first protein, and then five options left for the second protein (since one has already been used), four options for the third protein, three for the fourth, two for the fifth, and one for the sixth.

Using the multiplication principle, we can calculate the total number of different Loco Mocos as follows:

6 x 5 x 4 x 3 x 2 x 1 = 720

Therefore, there are 720 different Loco Mocos that can be ordered if we consider all six proteins. However, this number can vary depending on the number of protein options available at a particular restaurant or if a customer chooses to only add one or two proteins to their Loco Moco.

In conclusion,  there are 720 different Loco Mocos that can be ordered if we consider all six protein options, but this number can vary depending on individual preferences and availability.

Know more about the multiplication principle,

https://brainly.com/question/29117304

#SPJ11

a. The integral to determine the area enclosed by the inner loop is:

A = ∫0^2π2+4sin(θ)dθ

This integral can be solved using the substitution u = 4sin(θ). This will give us the following integral:

A = ∫0^2π2 + udu

Next, we apply the power rule to the integral and solve for A.

A = 2θ + (u^2)/2 | 0^2π

A = 2θ + (4sin(θ)^2)/2 | 0^2π

A = 2π + 4[1 - cos(2θ)]/2 | 0^2π

A = 2π + 2 - cos(2π)

A = 4π - 1

b. To find the area between the loops, we can use the following integral:

A = ∫2^4π2+4sin(θ)dθ

Using the same substitution, we have:

A = ∫2^4π2 + udu

A = 2θ + (u^2)/2 | 2^4π

A = 2θ + (4sin(θ)^2)/2 | 2^4π

A = 2π + 4[1 - cos(2θ)]/2 | 2^4π

A = 2π + 2 - cos(4π)

A = 4π + 1

For more questions like Integral click the link below:

https://brainly.com/question/30037270

#SPJ4

The expression of ⁴√(81x³y⁴z⁸) with rational exponents is: 3x(¾)yz²

The 8 laws of exponents can be listed as follows:

Zero Exponent Law: a^(0) = 1.

Identity Exponent Law: a^(1) = a.

Product Law: a^m × a^n = a^(m+n)

Quotient Law: a^m/a^n = a^(m - n)

Negative Exponents Law: a^(-m) = 1/a^(m)

Power of a Power: (a^m)^n = a^(mn)

Power of a Product: (ab)^m = a^m*b^m

Power of a Quotient: (a/b)^m = a^m/b^m

We are given the algebra expression as:

⁴√81x³y⁴z⁸

This gives us:

81^(1/4) * x^(3/4) * y^(4/4) * z^(8/4)

= 3x^(3/4)yz²

Read more about Laws of Exponents  at: https://brainly.com/question/11761858

#SPJ1

Answer:

y = - 2x - 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 2 , then

y = - 2x + c ← is the partial equation

to find c substitute (3, - 7 ) into the partial equation

- 7 = - 6 + c ⇒ c = - 7 + 6 = - 1

y = - 2x - 1 ← equation of line

Answer: Please tell us the coordinates of points P and Q. To find fraction distance you would count the number of steps (from p) right and up to point Q. Then label it like this:

x = _

x move = _ *2/3  

y = _

y move = _ *2/3

Then you would physically count the points to get the 2/3 point of the line segment. Hope this helps.

Step-by-step explanation:

The value of the double integral is 128/27 - 32/9 + 8ln2/3. From triangular region with vertices (0, 1), (1, 2), (4, 1) d.

To evaluate the double integral, we first need to set up the limits of integration. Since the region D is a triangle, we can use the following limits:

0 ≤ x ≤ 1

1 + x ≤ y ≤ 4 - x

The integral then becomes:

∫0^1 ∫1+x^4-x 8y^2 dy dx

Evaluating the integral with respect to y first, we get:

∫0^1 ∫1+x^4-x 8y^2 dy dx = ∫0^1 [(8/3)(y^3)]1+x^4-x dx

= ∫0^1 [(8/3)(1+x^3)^3 - (8/3)(1+x^2)^3] dx

= 128/27 - 32/9 + 8ln2/3

Learn more about integral: https://brainly.com/question/27419605

#SPJ11

The equation of the line through the points (0, 9) and (3, 0) is y = -3x + 9.

To find the equation of a line passing through two given points, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is one of the points on the line and m is the slope of the line.

First, we calculate the slope (m) using the formula: m = (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two given points. Substituting the values (0, 9) and (3, 0), we get m = (0 - 9)/(3 - 0) = -9/3 = -3.

Next, we choose one of the points, let's say (0, 9), and substitute its coordinates into the point-slope form: y - 9 = -3(x - 0).

Simplifying the equation, we get y - 9 = -3x, or rearranging it, y = -3x + 9.

Therefore, the equation of the line passing through the points (0, 9) and (3, 0) is y = -3x + 9.

To learn more about slope of the line click here: brainly.com/question/29082598

#SPJ11

x is present in the algebraic expression, therefore, option A is correct.- x is present in the expression, therefore, option B is correct.- x + y is present in the expression, therefore, option D is correct.

The given expression is: 3x[3(x + y)]^3x[3(x + y)]^3 × (x + 3)(x + y)

To simplify the given expression, we will first solve the expression within the brackets as follows:

(3(x + y))^3 = (3)³(x + y)³ = 27(x + y)³

Now, we will substitute the above value in the expression:

3x[3(x + y)]^3 = 3

x × 27(x + y)³ = 81x(x + y)³

Multiplying both terms of (x + 3)(x + y), we get:

(x + 3)(x + y)

= x(x + y) + 3(x + y) + 3y

= x² + xy + 3x + 3y + yx + 3y

= x² + 4xy + 6y + 3x

The final expression after substituting the value of 3x[3(x + y)]^3 and (x + 3)(x + y) is:

81x(x + y)³ × (x² + 4xy + 6y + 3x)

= 81x(x + y)³x² + 81xy(x + y) + 6xy + 27x(x + y)

= 81x³ + 189xy² + 81x²y + 6xy + 27x² + 81xy

Now, let's check which options are correct:- 3x is present in the expression, therefore, option A is correct.- x is present in the expression, therefore, option B is correct.- x + y is present in the expression, therefore, option D is correct.

Learn more about algebraic expression visit:

brainly.com/question/28884894

#SPJ11

Answer:

X=47

Y=90

Step-by-step explanation:

Answer:

<BAC = 78

<ABC = 68

Step-by-step explanation:

The remote angles theorem states that when one extends a side of a triangle, the angle formed between the extension and one of the sides of the triangle is equal to the sum of the two non-adjacent angles inside the triangle. One can apply this theorem here and state the following,

<BAC + <ABC = <ACD

Substitute,

(5y + 3) + (4y + 8) = (146)

Simplify,

9y + 11 = 146

Inverse operations,

9y + 11 = 146

     -11     -11

9y = 135

/9      /9

y = 15

Now substitute this value back into the expressions to find the numerical measurement of (<BAC) and (<ABC),

<BAC = 5y + 3

5(15) + 3

78

<ABC = 4y + 8

4(15) + 8

68

The eigenvalues for the given system dx/dt = 4x - 2y, dy/dt = x + y are λ1 = 3 and λ2 = 2.

The associated eigenvectors are v1 = (1, 1) and v2 = (-1, 2). Using HPGSystemSolver, you can sketch the direction field, plot straight line solutions, and create the phase portrait.

To find the eigenvalues:
1. Write the system as a matrix: A = [[4, -2], [1, 1]]
2. Calculate the characteristic equation: det(A - λI) = 0, which gives (4 - λ)(1 - λ) - (-2)(1) = 0
3. Solve for λ, yielding λ1 = 3 and λ2 = 2

For eigenvectors:
1. For λ1 = 3, solve (A - 3I)v1 = 0, resulting in v1 = (1, 1)
2. For λ2 = 2, solve (A - 2I)v2 = 0, resulting in v2 = (-1, 2)

Using HPGSystemSolver or similar software, input the given system to sketch the direction field, plot straight line solutions (if any), and generate the phase portrait. This visual representation helps in understanding the system's behavior.

To know more about eigenvectors click on below link:

https://brainly.com/question/31391960#

#SPJ11

The average time spent in the system which consists three fax machines is 0.026470 hour. So, option (e) none of the above is right here.

The M/M/1 queuing system is a single-server, infinite-capacity system in which the arrival interval is exponentially distributed with the parameter lambda and the service time is also exponentially distributed with the parameter. If the number of servers is maximum and all are equal, this model is considered an M/M/C queue.

We have, total number of fax machine in a business school is equals to three.

The toner of each machine needs to be changed in 5 hours of use . Time taken by secretary to replace toner cartridge = 15 minutes

We have to calculate average time spent in the system. fax machines , k = 3

Service person , R = 1

Arrival rate, λ = 3/5per hour = 0.6/hour

Service rate, μ =( 60/15) per hour

= 4/hour

Now, using the equation of finite population model M/M/1, the average time spent to maintain the fax machines in system is ,

L = λ² /μ (μ - λ )

plugging the value of μ and λ in above formula we get, L = (0.6)²/4(4-0.6)

= 0.36/13.6 = 0.026470

So, required answer is 0.026470 hour .

To learn more about queuing system, refer:

https://brainly.com/question/15597528

#SPJ4

Answer:

C

Step-by-step explanation:

The table below shows the cost per pound of different vegetables.

Prices of Vegetables

Vegetable

Cost (per pound)

Potatoes

$3.89

Squash

$4.68

Carrots

$1.67

Cucumbers

$2.59

What is the estimated cost for 7.8 pounds of potatoes?

$16

$24

$32

$40

Answer:

(C) $32

I just did the test

Answer:

are u dumxb?? asur grandpa in the graveyard

It should be noted that x > 0 || x <= 0 will always be true.

x > 0 || x-1 < 0

x - 1 < 0 => x < 1 => x <= 0 (as x is an integer)

Thus, x > 0 || x <= 0 will always be true

In binary, 7 = 111

Hence x & 7 will return the last 3 bits of x. If last 3 bits of x are not 1s, then the first condition will be satisfied. On the other hand if last 3 bits of x are 1s, then left shifting 29 times will move the 3rd last bit to first position. This means that first bit will become 1 and hence it will be negative (< 0).

Therefore in any case one of the two conditions will be definitely satisfied. Hence this is true

Due to overflow, it is possible that multiplying x by x generated a number which is out of range. Due to this the number can be negative. Therefore this can be false

Learn more about data on:

https://brainly.com/question/26711803

#SPJ1

The optimal mix of crops to plant is 1,304 acres of soybeans, 761 acres of corn, and 341 acres of cotton, which will maximize the family's total profit.

3.51 Farm Management problem: Formulate and solve a linear programming model for this problem in a spreadsheet.The given table contains information about the labor-hours and fertilizer needed per acre and the total expected profit per acre for the potential crops under consideration.

Given that Dwight, Hattie, and their children can work at most 6.500 total hours during the upcoming season and have 200 tons of fertilizer available. We need to find the mix of crops that maximizes the family's total profit.Let x1, x2, and x3 be the amount of acres for soybeans, corn, and cotton, respectively.

We need to maximize the profit, which is given byZ = 70x1 + 60x2 + 90x3subject to the constraints given below:2x1 + 3x2 + 4x3 <= 6,500 (labor-hours constraint)3x1 + 2x2 + 4x3 <= 200 (fertilizer constraint)x1, x2, x3 >= 0 (non-negativity constraint)The linear programming model for this problem can be written as follows:maximize Z = 70x1 + 60x2 + 90x3Subject to:2x1 + 3x2 + 4x3 ≤ 6,5003x1 + 2x2 + 4x3 ≤ 200x1, x2, x3 ≥ 0Solving the problem using a spreadsheet, we get the following optimal solution.

 The optimal solution is obtained for x1 = 1,304 acres of soybeans, x2 = 761 acres of corn, and x3 = 341 acres of cotton.

for more questions on optimal mix

https://brainly.com/question/31744164

#SPJ8

To find the volume of each pris you multiply the measures

So

first prism

then first blanck is 12

Second prism

if we multiply 5 and 14

then second blanck is 70

Total volume

then last blanck is 1180cu cm

Answer:

A conjecture is something that has been mathematically proved to be true, while a theorem has not been proven but is still believed to be true!

Answer:

b

Step-by-step explanation:

b