The answer is b because 2S + L is equal to L + 2S.
the formula for the circumference of a cirlce is πd. the diameter is 2r which in this case is 0.5. therefore the circumference is 0.5π, or 1.5708 (rounded)
Answer:
3.625
Step-by-step explanation:
Given a normal distribution :
Average weight = population mean = 172 pounds
Population standard deviation = 29 pounds
Number of samples selected(n) = 64
The standard deviation of the sample also called the standard error is the proportion of the population standard deviation to the square root of the number samples.
Sample standard deviation :
Population standard deviation /√n
= 29 /√64
= 29 / 8
= 3.625
Answer:
Electric force = 8.20x10⁻⁸ N
Gravitational force = 3.61x10⁻⁴⁷ N
Step-by-step explanation:
1. The electric force can be found using the following equation:
Where:
K: is the Coulomb's constant = 9x10⁹ N.m²/C²
: is the charge of the proton = 1.6x10⁻¹⁹ C
: is the charge of the electron = -1.6x10⁻¹⁹ C
d: is the distance = 5.3x10⁻¹¹ m
Hence, the magnitude of the electric force is:
2. The gravitational force can be calculated as follows:
Where:
: is the electron's mass = 9.1x10⁻³¹ kg
: is the proton's mass = 1.67x10⁻²⁷ kg
G: is the gravitational constant = 6.67x10⁻¹¹ N.m²/kg²
Therefore, the gravitational force is:
As we can see, the gravitational force is much less than the electric force.
I hope it helps you!
Answer:
Step-by-step explanation:
Use this formula for when compounding is either not continuous or is not annually:
where P is the initial investment, r is the interest rate in decimal form, n is the number of times the compounding occurs per year, and t is the time in years. For us:
P = 5200,
r = .046,
n = 365, and
t = 11
and
and
and
A(t) = 5200(1.658408042) so
A(t) = $8623.72
