Mark gathered data about the number of pink and red flowers that bloomed on several of his flowering shrubs. The scatter plot sh

The volume of a rectangular prism:

insert

The volume of a cylinder:

insert:

Response: C. The cylinder possesses a larger volume.

20*117.98 + 20*124.32 = $4846.00 

<span>$4846.00*1.02 = $4942.92 </span>

<span>40*128.48 = $5139.20 </span>

<span>0.02*5139.20 = $102.78 </span>

<span>$5139.20 - $102.78 = $5036.42 </span>

<span>$5036.42 - $4942.92 = $93.50, 
Thus, the result is (B)</span>

<span>The system of equations that can determine if the commuter jet’s flight path crosses the restricted airspace is:

y = \frac{1}{4}(x - 10)^2 + 6  (i)
y = \frac{-27}{34}x - \frac{5}{17}  (ii)
</span><span>
Here's why:
</span><span>
The closed airspace boundary is defined by points (10, 6) and (12, 7).
</span>
The commuter jet’s linear path runs from (-18, 14) to (16, -13).

Equation (i) describes the boundary since it fits both (10, 6) and (12, 7):

For (10, 6):
\frac{1}{4}(10-10)^2 + 6 = 6 (true)

For (12, 7):
\frac{1}{4}(12-10)^2 + 6 = 1 + 6 = 7 (true)

Equation (ii) represents the commuter jet’s path as it fits both (-18, 14) and (16, -13):

For (16, -13):
-13 = \frac{-27}{34} \times 16 - \frac{5}{17} = -13 (true)

For (-18, 14):
14 = \frac{-27}{34} \times (-18) - \frac{5}{17} = 14 (true)

By solving this system, we can confirm that the jet’s flight path intersects the closed airspace.

Responses

19 fiction books

7 nonfiction books

Explanation

x + y = 26............................................. (i)

x – y = 12............................................ (ii)

By adding the two equations, Elliot obtained the result of

2x = 38.

When divided by 2;

x = 19

Therefore, there are 19 fiction books.

Substituting x into equation (i),

x + y = 26            when x = 19

19 + y = 26

y = 26 - 19

   = 7

This means there are 7 nonfiction books

The following table presents the conversion from degrees to gradients.

To calculate the slope, we take the difference between the two y-values (gradients) and divide it by the difference between the corresponding x-values (degrees).

For this purpose, we will use the initial and final points listed in the table. Therefore, the slope m is calculated as:



After rounding to two decimal places, the slope of the line converting degrees to gradients is 1.11