Answer: ![46x^2+73x+15](https://tex.z-dn.net/?f=46x%5E2%2B73x%2B15)
Step-by-step explanation:
The area of a rectangle can be calculated with the formula:
![A=lw](https://tex.z-dn.net/?f=A%3Dlw)
l: the length of the rectangle.
w: the width of the rectangle.
The area of the remaning wall after the mural has been painted, will be the difference of the area of the wall and the area of the mural.
Knowing that the dimensions of the wall are
by
, its area is:
![A_w=(6x+7)(8x+5)\\\\A_w=48x^2+30x+56x+35\\\\A_w=48x^2+86x+35](https://tex.z-dn.net/?f=A_w%3D%286x%2B7%29%288x%2B5%29%5C%5C%5C%5CA_w%3D48x%5E2%2B30x%2B56x%2B35%5C%5C%5C%5CA_w%3D48x%5E2%2B86x%2B35)
As they are planning that the dimensions of the mural be
by
, its area is:
![A_m=(x+4)(2x+5)\\\\A_m=2x^2+5x+8x+20\\\\A_m=2x^2+13x+20](https://tex.z-dn.net/?f=A_m%3D%28x%2B4%29%282x%2B5%29%5C%5C%5C%5CA_m%3D2x%5E2%2B5x%2B8x%2B20%5C%5C%5C%5CA_m%3D2x%5E2%2B13x%2B20)
Then the area of the remaining wall after the mural has been painted is:
![A_{(remaining)}=A_w-A_m\\\\A_{(remaining)}=48x^2+86x+35-(2x^2+13x+20)\\\\A_{(remaining)}=48x^2+86x+35-2x^2-13x-20\\\\A_{(remaining)}=46x^2+73x+15](https://tex.z-dn.net/?f=A_%7B%28remaining%29%7D%3DA_w-A_m%5C%5C%5C%5CA_%7B%28remaining%29%7D%3D48x%5E2%2B86x%2B35-%282x%5E2%2B13x%2B20%29%5C%5C%5C%5CA_%7B%28remaining%29%7D%3D48x%5E2%2B86x%2B35-2x%5E2-13x-20%5C%5C%5C%5CA_%7B%28remaining%29%7D%3D46x%5E2%2B73x%2B15)
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the complete question in the attached file.
![Box \ average =\frac{1}{6} \\\\SD = \frac{1}{6} \times \frac{5}{6} = \frac{5}{36} \approx 0.373\\\\Expected \ value= 1000 \times \frac{1}{6} \approx 166.7\\\\SE = 1000 \times 0.373 \approx 11.8\\\\](https://tex.z-dn.net/?f=Box%20%5C%20average%20%3D%5Cfrac%7B1%7D%7B6%7D%20%20%5C%5C%5C%5CSD%20%3D%20%5Cfrac%7B1%7D%7B6%7D%20%20%5Ctimes%20%5Cfrac%7B5%7D%7B6%7D%20%3D%20%5Cfrac%7B5%7D%7B36%7D%20%5Capprox%200.373%5C%5C%5C%5CExpected%20%5C%20value%3D%201000%20%5Ctimes%20%5Cfrac%7B1%7D%7B6%7D%20%20%5Capprox%20166.7%5C%5C%5C%5CSE%20%3D%201000%20%5Ctimes%200.373%20%5Capprox%2011.8%5C%5C%5C%5C)
The total number of aces is approximately 167, 12 or more. The SE is 12 out of 1000, which is 1.2 percent.
The percentage of aces is expected to be around 16.67% , or 1.2%.
The height is 22 inches? It says it in the question
3) <
5)>
7)<
9)74,975, 76,802, 76,820
10)546,671 , 546,716 , 564,718
<u>Solution:</u> 48cm/s^2
<u>Working:</u>
A = s^2
Derivate s^2 (as it is area formula) which gives
dA/dt = 2s dL/dt
dL/dt = 6cm/s
Hence,
2(6) = 12
Side: 4cm
Hence,
dA/dt = (4)(12) = 48cm/s^2
<em>Feel free to mark this as brainliest :D</em>