Larry has decided that the above ground swimming
pools business is not the best way to earn a living
(see practice problem e). He now thinks the big
money is in rowing machines. If Larry switches jobs,
he will earn a 12% commission on all the machines he
sells. For Larry to receive $15,000 in commissions,
how many dollars worth of machines must he sell?

The area of each of the missing faces is 40 m².

The length of each of the missing faces is 10 m.

The missing dimension is 10 m by 4 m.

Area is the region bounded by a plane shape.

To calculate the area of each missing face, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

And the length of each of the missing edge can be calculated using the formula below

Formula:

Where:

From the diagram in the question,

Given:

Substitute into equation 2

Hence, the length is 10 m.

Learn more about area here: https://brainly.com/question/25092270

#SPJ1

Answer:

Step-by-step explanation:

An isosceles triangle is a one that has two of its sides equal. Hence option (c) is correct because here two sides have length of 11.9.

To  learn more about isosceles triangle:

https://brainly.com/question/29774496?referrer=searchResults

Answer:

D. The speed of light

Step-by-step explanation:

The speed of light is extremely fast at 299,792,458 m / s. This would be better to look at in scientific notation:

3.00 x 108 m/s.

Here's a Scheme function that checks whether a matrix is symmetric or not:

```scheme

(define (is-symmetric-matrix matrix)

 (define (get-element matrix i j)

   (if (null? matrix)

       #f

       (if (= i 0)

           (if (null? (car matrix))

               #f

               (if (= j 0)

                   (car (car matrix))

                   (get-element (cdr matrix) i (- j 1))))

           (get-element (cdr matrix) (- i 1) j))))

 (define (is-matrix-symmetric-helper matrix i j)

   (if (null? matrix)

       #t

       (if (equal? (get-element matrix i j)

                   (get-element matrix j i))

           (is-matrix-symmetric-helper matrix i (+ j 1))

           #f)))

 (if (null? matrix)

     #t

     (is-matrix-symmetric-helper matrix 0 0)))

```

The function `is-symmetric-matrix` takes a matrix as an input, which is represented as a list of lists. It uses a helper function called `is-matrix-symmetric-helper` to compare each element of the matrix with its corresponding element in the transposed position. The `get-element` function is used to retrieve the element at position `(i, j)` in the matrix.

The `is-matrix-symmetric-helper` function recursively iterates over the matrix, comparing each element with its transposed element. If any pair of corresponding elements is found to be different, it immediately returns `#f` (False), indicating that the matrix is not symmetric. If it reaches the end of the matrix without finding any differences, it returns `#t` (True), indicating that the matrix is symmetric.

Finally, the main `is-symmetric-matrix` function first checks if the matrix is empty. If it is, it immediately returns `#t` since an empty matrix is considered symmetric. Otherwise, it calls the helper function with the initial indices `(0, 0)` and returns its result.

Learn more about Scheme function: https://brainly.com/question/33167627

#SPJ11

Step-by-step explanation:

please mark me brainlest to all questions

___________

\( \: \)

\(\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}\)

Solution in picture!

The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.653.

We have,
Vermont had 65.3% of respondents who said yes to exercising for at least 30 minutes a day, 3 days a week.

To find the sample proportion, you can convert the percentage to a decimal by dividing the percentage by 100.

Step 1:

Convert the percentage to a decimal.
65.3 / 100 = 0.653

Thus,
The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.653.

Learn more about sample proportion here:

https://brainly.com/question/29912751

#SPJ11

Answer:

1/2

Step-by-step explanation:

there ARE ONLY TWO GENDERS

THE dog can be male or female =

sum genders = 2

probability of been a male = 1/2

The interest estimated by compounding methods are-

(a) Annual: n = 1; CI = $860

(b) Semiannual: n = 2; CI = $862.

(c) Monthly: n = 12; CI = $865

(d) Daily: n = 365; CI = $855

The formula for computing the compound interest is -

CI = A - P

A = P(1 + r/100nt)∧rt

In which,

(a) Annual: n = 1

A = 10,400(1 + 8/500)∧5

A = 10,400 x 1.08

A = 11,260

CI = 11,260 - 10,400

CI = $860

(b) Semiannual: n = 2

A = 10,400(1 + 8/1000)∧10

A = 10,400 x 1.089

A = 11,262

CI = $862.

(c) Monthly: n = 12

A = 10,400(1 + 8/6000)∧60

A = 10,400 x 1.083

A = 11,265

CI = $865

(d) Daily: n = 365

A = 10,400(1 + 8/182500)∧1825

A = 10,400 x 1.0832

A = 11,255

CI = $855

To know more about the compound interest, here

https://brainly.com/question/3989769

#SPJ4

Answer:

kbsishodhohror keviegieh

Answer:

\(2 {x}^{3} - 4 {x}^{2} - 15x \\ = x( {2x}^{2} - 4x - 15) \\ \)

\(1\frac{1}{2}\) \(batches\)

➛➛➛➛➛

\(\frac{1/2}{1} =\frac{3/4}{x}\)

\(\frac{1}{2} =\frac{3}{4x}\)

\(cross~multiply\)

\(4x=2(3)\)

\(\frac{4x}{4} =\frac{6}{4}\)

\(x=\frac{3}{2} =1\frac{1}{2}\)

Answer:

y = 2x - 4

Step-by-step explanation:

To solve this problem, we must first calculate the slope of the line AB using the formula:

\(\boxed{m = \frac{y_2 - y_1}{x_2 - x_1}}\)

where:

m ⇒ slope of the line

(x₁, y₁), (x₂, y₂) ⇒ coordinates of two points on the line

Therefore, for line AB with points A = (2, 5) and B = (4, 4) :

\(m_{AB} = \frac{5 - 4}{2 - 4}\)

⇒ \(m_{AB} = \frac{1}{-2}\)

⇒ \(m_{AB} = -\frac{1}{2}\)

Next, we have to calculate the slope of the line BC.

We know that the product of the slopes of two perpendicular lines is -1.

Therefore:

\(m_{BC} \times m_{AB} = -1\)      [Since BC and AB are at right angles to each other]

⇒ \(m_{BC} \times -\frac{1}{2} = -1\)

⇒ \(m_{BC} = -1 \div -\frac{1}{2}\)      [Dividing both sides of the equation by -1/2]

⇒ \(m_{BC} = \bf 2\)

Next, we have to use the following formula to find the equation of line BC:

\(\boxed{y - y_1 = m(x - x_1)}\)

where (x₁, y₁) are the coordinates of a point on the line.

Point B = (4, 4) is on line BC, and its slope is 2. Therefore:

\(y - 4 =2 (x - 4)\)

⇒ \(y - 4 = 2x - 8\)         [Distributing 2 into the brackets]

⇒ \(y = 2x-4\)

Therefore, the equation of line BC is y = 2x - 4.

A concave hexagon with 2 pairs of congruent sides is a shape that has six sides and two pairs of sides that are of equal length, but the shape curves inward at one or more angles, creating a concave indentation.

A hexagon is a six-sided polygon, and when two pairs of its sides are congruent,

it means that four of its sides have the same length, if the shape curves inward at one or more angles,

it creates a concave hexagon, which means that the indentation on the shape is facing inward, rather than outward, a concave hexagon with 2 pairs of congruent sides is a six-sided polygon with four sides of equal length, but with a curvature that creates an inward indentation.

Hence, a concave hexagon with 2 pairs of congruent sides is a six-sided figure with an indentation and two sets of sides with equal lengths.

learn more about hexagon click here:

https://brainly.com/question/15424654

#SPJ11

If the length of the room is 17 inches one the architect's plan, the actual length of the room in feet if the scale of the plan is 1.25 inches to 3 feet is

40.8 feet

The length of the room on the architect's plan = 17 inches

The scale of the plan = 1.25 inches to 3 feet

That means

The length on the plan/ The actual length = 1.25 inches / 3 feet

Substitute the value of the length on the plan in the equation

17 / The actual length = 1.25/3

The actual length of the room  = 17/0.42

= 40.8 feet

Hence, if the length of the room is 17 inches one the architect's plan, the actual length of the room in feet if the scale of the plan is 1.25 inches to 3 feet is 40.8 feet

Learn more about scale here

brainly.com/question/14671380

#SPJ1

Answer:

a) 0.6 joules of work are needed to stretch the spring from 41 centimeters to 46 centimeters.

b) The spring must be 5.6 centimeters far from its natural length.

Step-by-step explanation:

a) The work done to stretch the ideal spring from its natural length is defined by the following definition:

\(W = \frac{1}{2}\cdot k\cdot (x_{f}-x_{o})^{2}\) (1)

Where:

\(k\) - Spring constant, measured in newtons.

\(x_{o}\), \(x_{f}\) - Initial and final lengths of the spring, measured in meters.

\(W\) - Work, measured in joules.

The spring constant is: (\(W = 5\,J\), \(x_{o} = 0.36\,m\), \(x_{f} = 0.51\,m\))

\(k = \frac{2\cdot W}{(x_{f}-x_{o})^{2}}\)

\(k = \frac{2\cdot (5\,J)}{(0.51\,m-0.36\,m)^{2}}\)

\(k = 444.44\,\frac{N}{m}\)

If we know that \(k = 444.44\,\frac{N}{m}\), \(x_{o} = 0.41\,m\) and \(x_{f} = 0.46\,m\), then the work needed is:

\(W = \frac{1}{2}\cdot \left(444.44\,\frac{N}{m} \right)\cdot (0.46\,m-0.41\,m)^{2}\)

\(W = 0.555\,J\)

0.6 joules of work are needed to stretch the spring from 41 centimeters to 46 centimeters.

b) The elastic force of the ideal spring (\(F\)), measured in newtons, is defined by the following formula:

\(F = k\cdot \Delta x\) (2)

Where \(\Delta x\) is the linear difference from natural length, measured in meters.

If we know that \(k = 444.44\,\frac{N}{m}\) and \(F = 25\,N\), then the linear difference is:

\(\Delta x = \frac{F}{k}\)

\(\Delta x = \frac{25\,N}{444.44\,\frac{N}{m} }\)

\(\Delta x = 0.056\,m\)

The spring must be 5.6 centimeters far from its natural length.

Answer:

c=(ay-2)/m

Step-by-step explanation:

Isolate c

First I would multiply both sides by y

mc+2=ay

Then I would subtract 2

mc=ay-2

Then I can divide my m to get c alone

c=(ay-2)/m

False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

Learn more about graph from

https://brainly.com/question/19040584

#SPJ11

Answer:

8 1/12

Step-by-step explanation:

4 1/3 × 2 1/4

= 8 1/12

Answer:

0(x-4)

Step-by-step explanation:

in my working system i mean just when i try on the place of 4 any number can be inserted

$5x-7=13x+17$,here both gives -22 as a result so

$6(x-4)$=6x-24 and to give the same result or 0

$6(x-4)$=0(x-any number )

Answer:

It will be A

Step-by-step explanation:

6453

- 135

--------

6318 dollars needed for Sarah's food.

Hope this helps!

Answer:

C. 20 could be the third side of the isosceles triangle

The amount of soil needed to fill the garden box is given as follows:

1728 ft³.

The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:

Volume = length x width x height.

The figure in this problem is composed by two prisms, with dimensions given as follows:

Hence the volume is given as follows:

V = 19 x 12 x 6 + 10 x 3 x 12

V = 1728 ft³.

More can be learned about the volume of a rectangular prism at brainly.com/question/22070273

#SPJ1

Answer:

\(\frac{1}{3} (n+4)\)

That is what the expression would be

Answer:

2

Step-by-step explanation:

The area of the triangle TUV, with vertices T(2,-8), U(9,-6), and V(6,-3), is  13.58

First using distance calculator we derived the length of TV and the length of VU.

Since TV = Height; and

VU = Base

and the triangle is a right triangle,

Then, area is given by 1/2 base x Height

Length of TV usign distance calculator is 6.40312
Lenght of VU using distance calculator is 4.24264

So area = 1/2 * 6.40312 * 4.24264

Area = 13.58

Learn more about area:
https://brainly.com/question/27683633
#SPJ1

To estimate the solution to the differential equation Y' = C using Euler's method with two steps, we need to divide the interval [0, 1] into two subintervals.

Let's denote the step size as h, where h = (1 - 0) / 2 = 0.5.

Using Euler's method, the general formula for the next approximation Y(i+1) is given by:

Y(i+1) = Y(i) + h * C

Given the initial condition Y(0) = 0, we can calculate the two approximations:

First step:

Y(1) = Y(0) + h * C

= 0 + 0.5 * C

= 0.5C

Second step:

Y(2) = Y(1) + h * C

= 0.5C + 0.5 * C

= C

So, the two Euler approximations with two steps are:

Y(1) = 0.5C

Y(2) = C

Now, let's calculate the magnitude of the error in these approximations compared to the exact solution.

The exact solution to the differential equation Y' = C is given by integrating both sides:

Y = C * t + K

Using the initial condition Y(0) = 0, we find that K = 0.

Therefore, the exact solution to the differential equation is Y = C * t.

Now, we can compare the Euler approximations with the exact solution.

Magnitude of error in Euler with 2 steps:

Error_2 = |Y_exact(1) - Y(1)|

= |C * 1 - 0.5C|

= 0.5C

Magnitude of error in Euler with 4 steps:

To calculate the error in the Euler approximation with four steps, we need to divide the interval [0, 1] into four subintervals. The step size would be h = (1 - 0) / 4 = 0.25.

Using the same formula as before, we can calculate the Euler approximation with four steps:

Y(1) = Y(0) + h * C

= 0 + 0.25 * C

= 0.25C

Y(2) = Y(1) + h * C

= 0.25C + 0.25 * C

= 0.5C

Y(3) = Y(2) + h * C

= 0.5C + 0.25 * C

= 0.75C

Y(4) = Y(3) + h * C

= 0.75C + 0.25 * C

= C

So, the Euler approximation with four steps is:

Y(1) = 0.25C

Y(2) = 0.5C

Y(3) = 0.75C

Y(4) = C

Magnitude of error in Euler with 4 steps:

Error_4 = |Y_exact(1) - Y(4)|

= |C * 1 - C|

= 0

Therefore, the magnitude of the error in the Euler approximation with 2 steps is 0.5C, and the magnitude of the error in the Euler approximation with 4 steps is 0.

The factor by which the error in the approximations with two steps should change compared to the error with four steps is given by:

Factor = Error_2 / Error_4

= (0.5C) / 0

= undefined

Since the error in the Euler approximation with four steps is 0, the factor is undefined.

The solution to the differential equation Y' = C with the given initial condition Y(0) = 0 is Y = Ct.

Using the exact solution, we can evaluate Y(1):

Y(1) = C * 1

= C

So, the solution to the differential equation with the given initial condition is Y = Ct, and Y(1) = C.

To learn more about equation visit;

https://brainly.com/question/10413253

#SPJ11

Step-by-step explanation:

\begin{gathered}6x - 2y = 6 \\ 6x = 6 + 2y \\ x = \frac{6 + 2y}{6} \end{gathered}

6x−2y=6

6x=6+2y

x=

6

6+2y

Given the triangle;

The perimeter of a shape is the sum of the sides or outer parts of the shape.

Thus, the perimeter of the triangle is;

Then, we simplify further by collect like terms, we have;

The wavelength range of the longitudinal waves is between 16.5 m and 0.0165 m.

Longitudinal waves are characterized by the displacement of particles occurring parallel to the direction of wave propagation. In the given problem, the equation of the wave is provided as y(x,t=5) = 0.5cos(0.1x) + 0.4sin(0.1x+π/3).

To determine the wavelength range, we can analyze the wave equation. The general form of a sinusoidal wave is given by y(x,t) = a * sin(kx - ωt + φ), where a represents the amplitude, k is the wave number (related to the wavelength), ω is the angular frequency, t is time, and φ is the phase constant.

Comparing this with the given equation, we can observe that the wave number k is 0.1 (since k = 2π/λ, where λ is the wavelength). Therefore, the wavelength λ can be calculated as λ = 2π/k = 2π/0.1 = 20π.

Given that the wavelength range is specified as 16.5 m > λ > 0.0165 m, we can convert this into the range for π: 16.5 m > 20π > 0.0165 m.

Thus, the wavelength range for the longitudinal waves in this problem is between 16.5 m and 0.0165 m.

Learn more about Longitudinal waves.
brainly.com/question/31377484

#SPJ11

a. Null hypothesis (H0): The population mean tread wear index is equal to 200. Alternative hypothesis (Ha): The population mean tread wear index is different from 200.

b. The test statistic (t) is calculated using the formula t = (198.8 - 200) / (21.4 / sqrt(18)).

c. At alpha = 0.05, if the absolute value of the test statistic (|t|) is greater than the critical value (±2.101), we reject the null hypothesis.

d. The 95% confidence interval for the population mean tread wear index is constructed using the formula 198.8 ± (2.101 * (21.4 / sqrt(18))). If the interval includes 200, it supports the conclusion that there is no evidence of a difference in the population mean.

a. The null hypothesis (H0): The population mean tread wear index is equal to 200.

The alternative hypothesis (Ha): The population mean tread wear index is different from 200.

b. To determine the test statistic, we can use the t-test since the population standard deviation is unknown. The formula for the t-test statistic is given by:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

Plugging in the values:

Sample mean (\(\bar{x}\)) = 198.8

Hypothesized mean (μ) = 200

Sample standard deviation (s) = 21.4

Sample size (n) = 18

t = (198.8 - 200) / (21.4 / √(18))

c. To determine the conclusion, we need to compare the computed test statistic (t) with the critical value from the t-distribution table. Since the alternative hypothesis is two-sided (population mean can be greater or less than 200), we need to consider the critical values for a two-tailed test.

Using the t-distribution table or statistical software, we find that with a sample size of 18 and a significance level of 0.05, the critical values for a two-tailed test are approximately ±2.101.

If the absolute value of the computed test statistic (|t|) is greater than the critical value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

d. To construct a 95% confidence interval, we can use the formula:

Confidence Interval = sample mean ± (critical value * (sample standard deviation / √(sample size)))

Plugging in the values:

Sample mean (\(\bar{x}\)) = 198.8

Sample standard deviation (s) = 21.4

Sample size (n) = 18

Critical value for a 95% confidence level = ±2.101

Confidence Interval = 198.8 ± (2.101 * (21.4 / √(18)))

If the confidence interval contains the hypothesized mean of 200, it supports the conclusion that there is no evidence to suggest that the population mean tread wear index is different from 200. If the confidence interval does not include 200, it contradicts the conclusion and suggests that the population mean is different from 200.

To know more about test statistic (t), refer to the link below:

https://brainly.com/question/32145077#

#SPJ11