Answer:
1. a square bulletin board has an area of 100ft^2 what is the side length of the bulletin board?
<u>Answer</u><u>:</u><u> </u><u>1</u><u>0</u><u> </u><u>ft</u>
• Area = side × side
![100 = {s}^{2} \\ s = \sqrt{100} \\ side = 10 \: ft](https://tex.z-dn.net/?f=100%20%3D%20%20%7Bs%7D%5E%7B2%7D%20%20%5C%5C%20s%20%3D%20%20%5Csqrt%7B100%7D%20%20%5C%5C%20side%20%3D%2010%20%5C%3A%20ft)
2.which is the correct classification of the vaule 2pi?
D. real,irrational
→ It is irrational because it has no denominator, it is real because it has no imaginary part, and it can be plotted on a number line.
3. simplify each expression
![\hookrightarrow \: - 9x + 12 - 10 + x \\ = ( - 9x + x) + 12 - 10 \\ = { \boxed{ - 8x + 2}} \\ \\ \\ \hookrightarrow \: \frac{3}{4} x + 17 - \frac{1}{4} x - 19 \\ \\ = \frac{3}{4} x - \frac{1}{4} x + 17 - 19 \\ \\ { \boxed{ = \frac{1}{2} x - 2}} \\ \\ \\ \hookrightarrow \: 13 + 12x - 4x - 14 \\ = 13 + 8x - 14 \\ { \boxed{ = 8x - 1}} \\ \\ \\ \hookrightarrow \: - \frac{3}{2} x - 68 + 2x + 8 \\ \\ = - \frac{3}{2} x + 2x - 68 + 8 \\ \\ { \boxed{ = \frac{1}{2}x - 60 }}](https://tex.z-dn.net/?f=%20%5Chookrightarrow%20%5C%3A%20%20-%209x%20%2B%2012%20-%2010%20%2B%20x%20%5C%5C%20%20%3D%20%28%20-%209x%20%2B%20x%29%20%2B%2012%20-%2010%20%5C%5C%20%20%3D%20%7B%20%5Cboxed%7B%20-%208x%20%2B%202%7D%7D%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%5Chookrightarrow%20%5C%3A%20%20%5Cfrac%7B3%7D%7B4%7D%20x%20%2B%2017%20-%20%20%5Cfrac%7B1%7D%7B4%7D%20x%20-%2019%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B3%7D%7B4%7D%20x%20-%20%20%5Cfrac%7B1%7D%7B4%7D%20x%20%2B%2017%20-%2019%20%5C%5C%20%20%5C%5C%20%7B%20%5Cboxed%7B%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20-%202%7D%7D%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%5Chookrightarrow%20%5C%3A%2013%20%2B%2012x%20-%204x%20-%2014%20%5C%5C%20%20%3D%2013%20%2B%208x%20-%2014%20%5C%5C%20%20%7B%20%5Cboxed%7B%20%3D%208x%20-%201%7D%7D%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%5Chookrightarrow%20%5C%3A%20%20-%20%20%5Cfrac%7B3%7D%7B2%7D%20x%20-%2068%20%2B%202x%20%2B%208%20%5C%5C%20%20%5C%5C%20%20%20%3D%20-%20%20%5Cfrac%7B3%7D%7B2%7D%20x%20%2B%202x%20-%2068%20%2B%208%20%5C%5C%20%20%5C%5C%20%7B%20%5Cboxed%7B%20%3D%20%20%5Cfrac%7B1%7D%7B2%7Dx%20-%2060%20%7D%7D)
Answer:
20
Step-by-step explanation:
<u>15</u> = <u>75</u>
x 100 (then cross multiply below)
---------------------------
<u>1,500</u> = <u>75x </u>
75 75
20 = x
Step-by-step explanation:
Given
f(x) = 6x - 5
f^-1(x) = ?
Let
y = f(x)
y = 6x - 5
Interchanging the roles of x and y we get
x = 6y - 5
6y = x + 5
y = ( x + 5 ) / 6
So therefore f^- 1(x) = (x + 5) / 6
Hope it helps :)❤
(a) P(x > 12) ≈ 0.4013
About 40% of the fish are longer than 12 inches.
(b) 300*P(x < 7) ≈ 48
about 48 of 300 fish could be expected to be shorter than 7 inches.
Answer:
Since 100<105<121, 10<square root of 105<11. So the square root of 105 is between 10 and 11.
Step-by-step explanation: