Answer:
the answer is 62.8cm^2
Step-by-step explanation:
4•3.14•5
Answer:
Total number of coffee pot = 16 pots
Step-by-step explanation:
Given:
Time taken for drying all coffee pot = 10 minutes
Total time taken for cleaning and drying coffee pot = 82 minutes
Time taken for clean a coffer pot = 4 ½ minutes = 4.5 minutes
Find:
Total number of coffee pot
Computation:
Total time taken for cleaning = Total time taken for cleaning and drying coffee pot - Time taken for drying all coffee pot
Total time taken for cleaning = 82 - 10
Total time taken for cleaning = 72 minutes
Total number of coffee pot = Total time taken for cleaning / Time taken for clean a coffer pot
Total number of coffee pot = 72 / 4.5
Total number of coffee pot = 16 pots
Answer:
5 days and 5 hours
Step-by-step explanation:
24*5=120
125-120=5
Solution: (1)The interval notation of
is
.
Explanation:
![x^2+6x+5\geq 0](https://tex.z-dn.net/?f=x%5E2%2B6x%2B5%5Cgeq%200)
![x^2+5x+x+5\geq 0\\x(x+5)+1(x+5)\geq 0\\(x+5)(x+1)\geq 0](https://tex.z-dn.net/?f=x%5E2%2B5x%2Bx%2B5%5Cgeq%200%5C%5Cx%28x%2B5%29%2B1%28x%2B5%29%5Cgeq%200%5C%5C%28x%2B5%29%28x%2B1%29%5Cgeq%200)
The product of two expression is positive if and only if both are positive or both are negative.
case 1:
and ![(x+1)\geq 0](https://tex.z-dn.net/?f=%28x%2B1%29%5Cgeq%200)
Then
and
From above conditions
.
case 2:
and case 2: ![(x+1)\leq 0](https://tex.z-dn.net/?f=%28x%2B1%29%5Cleq%200)
Then
and ![x\leq -1](https://tex.z-dn.net/?f=x%5Cleq%20-1)
From above conditions
.
By case 1 and 2 it is conclude that the interval notation of
is
.
Solution: (2) The interval notation of
is
.
Explanation:
![x^3+7x^2](https://tex.z-dn.net/?f=x%5E3%2B7x%5E2%3Cx%2B7)
![x^3+7x^2-x-7](https://tex.z-dn.net/?f=x%5E3%2B7x%5E2-x-7%3C0%5C%5Cx%5E2%28x%2B7%29-1%28x%2B7%29%3C0%5C%5C%28x%2B7%29%28x%5E2-1%29%3C0%5C%5C%28x%2B7%29%28x-1%29%28x%2B1%29%3C0)
The relative equation of the above inequality is ![(x+7)(x-1)(x+1)=0](https://tex.z-dn.net/?f=%28x%2B7%29%28x-1%29%28x%2B1%29%3D0)
Equate each factor equal to 0. The zeros of above equation is -7,-1 and 1. These points divides the number line in 4 parts or intervals. The any value from those interval to check the inequality. If the test point satisfies the equality then that interval is the solution of the inequality.
By the above process the interval notation of
is
.
Solution: (3) The ball is lower than the building for
.
Explanation:
The height of the ball is given by the equation
and the height of the building is 280ft.
The ball is lower than the building if the height of the ball is less than 280ft, i.e.,
.
![-16t^2+48t+280](https://tex.z-dn.net/?f=-16t%5E2%2B48t%2B280%3C280%5C%5C16t%28-t%2B3%29%3C0)
The time is always positive, so the first factor 16t is always positive. Since first factor is positive and the product of both factors is less than zero, therefore the second factor (-t+3) is always less than zero.
![-t+3](https://tex.z-dn.net/?f=-t%2B3%3C0%5C%5C-t%3C-3%5C%5Ct%3E3)
Therefore, the ball is lower than the building for
.