A manufacturing company builds construction machinery. It sells 10 machines for $18,100 and 20 machines for $26,600. Which equat

Answer: Macy's pre-tax shirt price is $5.63

Step-by-step explanation:

Details:

Original cost = 20

sale price drops by 25% every month it remains unsold.

First markdown month:

20 * (100%-25%) = 20 * 75% = 15

Second markdown month:

15 * 75% = 11.25

Macy, being an employee, enjoys a 50% discount on the current price.

11.25 * 50% = 5.625

11.25 - 5.625 = 5.625 or rounded to 5.63

Hope this helps!:)

The flea experiences an acceleration of 1,000 m/s².

Detailed explanation

This scenario involves motion with constant acceleration.

The relevant variables include the following.

We know the flea attains a takeoff velocity of 1.0 m/s over a distance of 0.50 mm.

The flea starts from rest, so the initial velocity is zero. The question asks for the flea's acceleration during leg extension.

The equation we apply is:

• a = acceleration (m/s²)
• u = initial speed = 0 m/s
• v = takeoff velocity = 1.0 m/s
• d = displacement = 0.50 mm

First, convert 0.50 mm to meters:

Solution steps:

Rearrange the formula to isolate acceleration (a).

Insert the given values into the rearranged equation.

This yields the flea's acceleration as 1,000 m/s².

Additional resources

1. Scientific notation: brainly.com/question/7263463
2. Determining substance mass: brainly.com/question/4053884
3. Conversion into cubic units: brainly.com/question/1446243

Keywords: flea, jumping, leg extension, takeoff velocity, initial speed, displacement, acceleration, constant acceleration, unit conversion

Given:

The temperature recorded at 10:00 am is 8 degrees Fahrenheit.

The temperature decreases by 3 degrees Fahrenheit each hour.

To find:

The temperature at 2:00 pm on the same day.

Solution:

Let y represent the temperature after x hours since 10:00 am.

The temperature at 10:00 am serves as the initial temperature.

Thus, the y-intercept of the linear equation is 8.

The temperature reduces by 3 degrees Fahrenheit every hour.

This indicates the slope of the linear equation is -3, with the negative sign indicating a decrease.

The slope-intercept form of a linear function is indicated by

where m is the slope and b is the y-intercept.

Inserting m=-3 and y=8 into the above equation gives us the required values.

From 10:00 am to 2:00 pm spans 4 hours; therefore, substitute x=4 into the above equation.

Consequently, the temperature at 2:00 pm is -4 degrees Fahrenheit.

Response:

The fence's length is expressed as 6.28x - 150 cm.

Detailed Breakdown:

Assuming the circular pool has a radius (r) of x cm.

As the pool is circular, its circumference represents the length of the fence. Additionally, subtracting the 150 cm for the gate gives us the actual length of the fence.

Length of fence = Circumference of pool – gate's width.

Length of fence = 2 π r – 150

Length of fence = 2 × 3.14 × x – 150

Therefore, the fence length is 6.28x – 150 cm.

Density can be defined as:

Where:

m is mass

V stands for volume

To isolate the mass, we derive:

Volume can be expressed as:

We then use the following conversion:

After applying the conversion, we arrive at:

Additionally, we have these conversions:

When we apply these conversions for density, we conclude:

Finally, the mass of the water required is:

Answer:

A total of 1190 kilograms of water is needed to fill the waterbed.