To convert percents to decimal form, move the decimal two place values to the left. So 0.3% = 0.003
Answer:
63 is the least common multiple of 7 and 9
Step-by-step explanation:
There is no number smaller than 63 that could be used as the the least common multiple so multiply 7 and 9. My friend daffy duck told me, math is mystery.
Answer:
That is false. -36 is less than -35
Answer:
The proposed 1600 meters runway length is not long enough
Step-by-step explanation:
The given parameters are;
The amount by which a plane can accelerate = 3.3 m/s²
The time it takes for a plane to lift off the ground = 35 seconds
The length of the runway on the blueprint = 1,600 meters
Therefore, from the equation of motion for distance traveled, s, acceleration, a, and time taken, t, we have;
s = u·t + 1/2·a·t²
Where;
u = The initial velocity
t = 35 seconds
a = 3.3 m/s²
Given that all planes will start motion from rest, we have;
u = 0 m/s
Therefore;
s = 0 × 35 + 1/2 × 3.3 × 35² = 2021.25 meters
Which indicates that the length of the runway a plane would need for take off should be at least 2021.25 meters long, therefore, the blueprint's 1600 meters runway length is not long enough.
Answer: (3)The average change in temperature each day is 5 degrees. (4) The average number of points relatives to their opponents is 8. (5)The average yearly drop in enrollment is 12. (6) It will take 11 min.
Explanation:
The Formula to find the average is,
![\text{Average}=\frac{\text{Sum of terms}}{\text{Number of terms}}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%7D%3D%5Cfrac%7B%5Ctext%7BSum%20of%20terms%7D%7D%7B%5Ctext%7BNumber%20of%20terms%7D%7D)
(3)
It is given that Total dropped temperature in 7 days is 35.
Since total change in temperature is 35 and number of days is 7.
![\text{Average}=\frac{35}{7}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%7D%3D%5Cfrac%7B35%7D%7B7%7D)
![\text{Average change in temperature}=5](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20change%20in%20temperature%7D%3D5)
Therefore, the average change in temperature each day is 5 degrees.
(4)
The teams lost by total of 48 points in 6 matches.
Since total points is 48 and number of matches is 6.
![\text{Average points}=\frac{48}{6}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20points%7D%3D%5Cfrac%7B48%7D%7B6%7D)
![\text{Average}=8](https://tex.z-dn.net/?f=%5Ctext%7BAverage%7D%3D8)
Therefore, the average number of points relatives to their opponents is 8.
(5)
The school dropped by 60 students over 5 years.
The total number of dropped students is 60 and the number of years is 5.
![\text{Average Students}=\frac{60}{5}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20Students%7D%3D%5Cfrac%7B60%7D%7B5%7D)
![\text{Average Students}=12](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20Students%7D%3D12)
Therefore, the average yearly drop in enrollment is 12.
(6)
The submarine descends at the rate of 60 feet per min. The total depth is 660.
![\text{Average Time}=\frac{660}{60}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20Time%7D%3D%5Cfrac%7B660%7D%7B60%7D)
![\text{Average Time}=11](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20Time%7D%3D11)
Therefore, the submarine will descend 660 feet in 11 min.