V^2/(1-v^2/c^2)=R
v^2=R(1-v^2/c^2)
v^2=R-Rv^2/c^2
v^2-Rv^2/c^2=R
v^2(1-R/c^2)=R
v=sqrt(R/(1-R/c^2))
where R was original right side, dont forget plus minus
Answer:
Step-by-step explanation:
"When 200 gallons of oil were removed from a tank" algebraically looks like this:
V - 200.
"...the volume of oil left in the tank was 3/7 of the tank's capacity" algebraically looks like this:
3/7(V)
Therefore, the equation is
V - 200 = 3/7(V)
Begin by multiplying both sides by 7:
7(V - 200) = 3V and
7V - 1400 = 3V so
-1400 = -4V so
V = 350 gallons
That's if the volume of the oil in the tank was 3/7 of the tank's capacity.
For the other part of the problem, we set up the equation almost the same, except the 3/7 is a 1/2:
V - 200 = 1/2(V)
Multiplying both sides by 2 gives you
2(V - 200) = V and
2V - 400 = V so
-400 = -V so
V = 400
Answer: 220 miles
Step-by-step explanation:
Distance travelled is calculated as:
= Speed × Time
Based on the scenario on the question, the total distance, in miles, of Darius' trip will be:
= (60 × 2) + (50 × 2)
= 120 + 100
= 220 miles
Answer:
98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day
(0.3672 , 0.7328)
Step-by-step explanation:
<u><em>Explanation:</em></u>-
Given Random sample size n =40
Sample proportion
98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day
The Z-value Z₀.₉₈ = Z₀.₀₂ = 2.326
98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day
( 0.55 - 0.1828 , 0.55 + 0.1828)
(0.3672 , 0.7328)
