Answer: It's 65.9
Step-by-step explanation:
<h3>decreased by 7.5%</h3>
<h3>means 100% - 7.5% = 92.5%</h3>
<h3>92.5% * x = 61</h3>
<h3>x= 61 / 92.5%</h3>
<h3>x = 65.9459</h3>
<h3>to the nearest tenth :</h3>
<h3>original number is 65.9</h3><h3>Hope this helps have a awesome day/night❤️✨</h3>
So first, find the area of the square. 12x12= 144inches^2
Then find the area of the circle. To do this we use pi x r^2. The radius of the circle is 6 inches. Pi x 6^2 = 113.04inches^2.
144 - 113.04 = 30.6, so your answer is 30.6 inches^2
The circles circumference is worked out by using pi x d. The diameter is 12 inches, so 3.14x12 = 37.68 inches.
The squares perimeter is 12 x 4 = 48 inches.
If you round up the circumference of the circle to the nearest integer, you get 38 inches. The ratio would therefore be, 38:48, which can be rounded down to 19:24 :)
Answer: (f·g)(x) = -5x³ - 31x² + 62x + 18
(f·g)(1) = 44
<u>Step-by-step explanation:</u>
f(x) = x² + 8x + 2 g(x) = -5x + 9
(f·g)(x) = (x² + 8x + 2)(-5x + 9)
= -5x³ + 9x²
- 40x² + 72x
<u> - 10x + 18</u>
= -5x³ - 31x² + 62x + 18
(f·g)(1)= -5(1)³ - 31(1)² + 62(1) + 18
= -5 - 31 + 62 + 18
= 44
You have to derive for a multiplication in both terms:
=e^x+xe^x-(e^x-1 + (x-2)e^x-1) now apply distributive property in the last term:
=e^x+xe^x+e^x-1-xe^x-1 now replace each x by 0 (x=0)
=1 + 0 + e^-1 + 0 = 1+ e^-1 = 1.3679
Answer: 192
Step-by-step explanation:
3 x 8 = 24
24 x 8 = 192