Answer:
1 x 10^21
Step-by-step explanation:
The initial number (2 x 10^4) is in scientific notation. Scientific notation must be written as: a X 10^n, where 0<a<10 and n is an integer. In this case, the number in scientific notation is being raised to the power of 5. When we raise a power by another power, we must multiply the power of all the terms by the additional power. In this case, we would get 2^5 x 10^20, this would be 10 x 10^20. Since the value of 'a' needs to be greater than 0 and less than 10, we need to move the decimal to the left and add another power to our 10: 1 x 10^21.
Answer:
- Hannah: 2.11 is a terminating decimal that can be written as 2 11/100. Rational numbers can be expressed as fractions.
Step-by-step explanation:
<u>The answer choices are:</u>
- <u>Gus</u>: 2.11 repeats because there are two 1s.
- <u>Gus</u>: 2.11 is a repeating decimal because it stops.
- <u>Hannah</u>: 2.11 is a rational number because it's a decimal.
- <u>Hannah</u>: 2.11 is a terminating decimal that can be written as 2 11/100. Rational numbers can be expressed as fractions.
<u>The correct one is:</u>
- Hannah: 2.11 is a terminating decimal that can be written as 2 11/100. Rational numbers can be expressed as fractions.
Answer:
Step-by-step explanation:
For obects already in motion, the distance travelled, s, is:
s = vi*t + (1/2)at^2
where vi is the initial velocity, a is the acceleration, and t is the time in seconds.
We want the time, t, to reach 1000 meters.
1000 m = (3 m/s)*t + (1/2)*(0.1m/s^2)*(t^2)
(1/2)*(0.1m/s^2)*(t^2) = 0.05t^2
0.05t^2 + 3t -1000 = 0
Solve quadratic equation:
t = 114.6 seconds
Let the number of rows be x
rows = x
seats in each row = x + 20
total seats = 1344
x (x + 20) = 1344
x^2 + 20x - 1344 = 0
(x + 48)(x - 28) = 0
x = -48 (rejected, answer cannot be negative) or x = 28
Therefore,
x = 28
x + 20 = 48
Check:
Row = 28
Numbers of seat per row = 28 + 20 = 48
28 x 48 = 1344 (Correct)
Ans:There are 48 seats per row
