0.092, 0.4, 0.432, 0.821 least to greatest so 0.092 is least
Answer:
One globe costs $60.79
Step-by-step explanation:
The area of the globe is
A = 4.π.r^2
Since the radius is 11 inches
A = 4*(3.14)*(11 in)^2 = 1519.76 in^2
We apply a rule of three
1 in^2 --------------------------------- $0.04
1519.76 in^2 ------------------------- x
x = (1519.76 in^2/ 1 in^2)*$0.04
x = (1519.76)*$0.04
x = $60.79
x ≈ $60.8
1.
![4](https://tex.z-dn.net/?f=4%3C7%20%5Cunderbrace%7B%5Cimplies%7D_%7B%5Ctimes%203%7D%2012%3C21%20%5Cunderbrace%7B%5Cimplies%7D_%7B%5Ctimes%202%7D%2024%3C42%20%5Cunderbrace%7B%5Cimplies%7D_%7B%5Ctimes%204%7D%2096%3C168%20%5Cunderbrace%7B%5Cimplies%7D_%7B%5Ctimes%209%7D%20864%3C1512)
2.
![11>-2 \underbrace{\implies}_{+3} 14>1 \underbrace{\implies}_{+3} 17>4\underbrace{\implies}_{+(-4)} 13>0](https://tex.z-dn.net/?f=11%3E-2%20%5Cunderbrace%7B%5Cimplies%7D_%7B%2B3%7D%2014%3E1%20%5Cunderbrace%7B%5Cimplies%7D_%7B%2B3%7D%2017%3E4%5Cunderbrace%7B%5Cimplies%7D_%7B%2B%28-4%29%7D%2013%3E0)
3.
![-2](https://tex.z-dn.net/?f=-2%3C-2%5Cunderbrace%7B%5Cimplies%7D_%7B-6%7D-8%3C-8%5Cunderbrace%7B%5Cimplies%7D_%7B-8%7D-16%3C-16%5Cunderbrace%7B%5Cimplies%7D_%7B-2%7D-18%3C-18)
4.
![-4](https://tex.z-dn.net/?f=-4%3C8%5Cunderbrace%7B%5Cimplies%7D_%7B%5Cdiv%20%28-4%29%7D1%3C-2%20%5Cunderbrace%7B%5Cimplies%7D_%7B%5Cdiv%20%28-2%29%7D%20-%5Cdfrac%7B1%7D%7B2%7D%3C1)
Comments:
We can see that as long as we add/subtract any value to both sides nothing happens: true statements remain true and false statements remain false. But if we multiply or divide by negative values, false statements become true and true statements become false. That why, when you multiply or divide an inequality by a negative number, you should also flip the inequality sign. For example, if we start with the true inequality
![-2](https://tex.z-dn.net/?f=-2%3C1)
If we multiply both sides by -2 we have to flip the sign as well:
![4>-2](https://tex.z-dn.net/?f=4%3E-2)
And the inequality will remain true.
Answer:
f(x)=24
Step-by-step explanation:
Replace x in the function with the value 4.
f(4)= (4)^2 + 3(4) - 4
16 + 12 -4
28 - 4
F(x)= 24
Answer:
51 messages
Step-by-step explanation:
15% of 60
15*60 = 900
900/100 = 9
and now 60-9 = 51
Final answer: She didnt sent 51 messages to her friend