Which of the following functions best describes this graph

Given:
Two identical parallelograms total area = 9 1/3 yd²
Each parallelogram has height 1 1/3 yd

Area formula: area = base × height

Split the total area equally to find each parallelogram's area.

Convert 9 1/3: (9*3)+1 = 28/3

Divide by 2: 28/3 × 1/2 = 28/6 yd², which is 4 4/6 yd² → 4 2/3 yd²

So each parallelogram's area is 4 2/3 yd²

Set up base × 1 1/3 yd = 4 2/3 yd²

Convert and divide: 14/3 yd² ÷ 4/3 yd = base

Multiply: 14/3 × 3/4 = base
Compute: 14*3 / 3*4 = base
42 / 12 = base
Which simplifies to 3 6/12 yd = base
or 3 1/2 yd = base

a) Each parallelogram has a base of 3 1/2 yards
b) If the two parallelograms form a rectangle:
Rectangle area = length × width

Length = 3 1/2 yd × 2 = 7 yds
Width = 3 1/2 yds

Area = 7 yd × 3 1/2 yd
Area = 7 × 7/2 yd²
Area = 7*7 / 2 yd²
Area = 49 / 2 yd²
Area = 24 1/2 yd²

The corresponding scales are:

3 cm for 15 km translates to 1 cm for 5 km ⇒ answer A

5 mm for 2.5 km translates to 1 cm for 5 km ⇒ answer D

1 mm for 500 m translates to 1 cm for 5 km ⇒ answer E

Detailed explanation:

To engage with this problem:

1. Given that 1 cm is equivalent to 5 km, all provided answers must

 be converted to cm and km

2. Determine the matching scales against the provided scale

A.

Since 3 cm indicates 15 km

- Divide both values by 3

Thus, 1 cm indicates 5 km

3 cm for 15 km equates to 1 cm for 5 km

B.

Since 1 mm signifies 150 km

- Convert mm to cm

Since 1 cm = 10 mm

Thus, 1 mm = cm = 0.1 cm

So, 0.1 cm indicates 150 km

- Then multiply both by 10

So, 1 cm indicates 1500 km

1 mm to 150 km does not match with 1 cm to 5 km

C.

Since 5 cm signifies 1 km

- Divide both by 5

Thus, 1 cm signifies 0.2 km

5 cm to 1 km does not match with 1 cm to 5 km

D.

Since 5 mm signifies 2.5 km

- Convert mm to cmSince 1 cm = 10 mm

Thus, 5 mm = cm = 0.5 cm

Therefore, 0.5 cm indicates 2.5 km

- Divide both by 0.5

Therefore, 1 cm represents 5 km

5 mm to 2.5 km corresponds to 1 cm to 5 km

E.

Since 1 mm signifies 500 m

- Convert mm to cm

Since 1 cm = 10 mm

So, 1 mm = cm = 0.1 cm

- Convert m to km

Since 1 km = 1000 m

Thus, 1 m = = 0.001 km

Thus, 500 m = = 0.5 km

Thus, 0.1 cm indicates 0.5 km

- Multiply both by 10

Thus, 1 cm represents 5 km

1 mm to 500 m corresponds to 1 cm to 5 km

Learn more:

You can learn more about equivalent measurements in

Answer:

The mean decreases, while the median stays unchanged.

Step-by-step explanation:

A box plot is constructed from the quartiles of the data distribution, incorporating the maximum and minimum values. From this, one can determine the range, median, and interquartile range.

In this scenario, the median maintains its value at $9.5 per hour. The median is represented by the middle line in the box, which remains constant.

Conversely, the range of this data set shrinks from 7 to 3.

Moreover, the mean must decrease because values greater than $11 are no longer represented in the second box plot. The mean is a measure sensitive to such alterations.

Conclusively, the correct finding is The mean decreases, while the median remains unchanged.

It recorded its conversation.

A matching complex for 2+3i is required. The conjugate is 2-3i, leading to the factors (x-2-3i)(x-2+3i)=(x²-4x+4+9)=x²-4x+13. The resulting polynomial is (x-4)(x+8)(x²-4x+13)=(x²+4x-32)(x²-4x+13)=x⁴-4x³+13x²+4x³-16x²+52x-32x²+128x-416, resulting in the 4th degree polynomial: x⁴-35x²+180x-416.