Answer:
Step-by-step explanation:
Since the sequence is increasing by a constant factor () each time, we know that this is an arithmetic sequence.
The formula for an arithmetic sequence is the following:
Where is the number in the sequence and is the constant that the sequence is increasing by.
Based on all of the information given, we know that (since is the first number in the sequence), and , so we can construct the formula:
Answer:
Its c, none of the above.
Step-by-step explanation:
V=127.16pi m^3
The formula for the Volume of a Cylinder is V=(pi)r^2h
First we have to fill in the variables with the information we have. The radius is 3.4m. The height is 11m. We want to leave the answer in terms of pi, so we won't multiply by pi at all. Let's plug it in.
V=(pi)3.4^2•11
To square a number we multiply it by itself, so 3.4 • 3.4 equals 11.56.
V=(pi)11.56•11
Next, we multiply the radius squared, which we already found by the height of the cylinder which is 11. 11.56 times 11 equals 127.16.
V=127.16pi
We found the final answer and don't use pi since we want it in terms of pi. Since a Cylinder is a 3-D figure, that means the units of measurement is cubed.
The answer is A) 127.16pi m^3
Answer:
37
Step-by-step explanation:
Margin of error = critical value × standard error
For 98% confidence, CV = 2.326 (from t table).
Standard error is σ / √n, where σ is the population standard deviation, and n is the sample size.
Plugging in:
5 = 2.326 × 13 / √n
n = 36.6
Rounding up, n = 37.
Answer:
x=75, y = 50
Step-by-step explanation:
Solve the following system:
{x + y = 125 | (equation 1)
5 x + 8 y = 775 | (equation 2)
Swap equation 1 with equation 2:
{5 x + 8 y = 775 | (equation 1)
x + y = 125 | (equation 2)
Subtract 1/5 × (equation 1) from equation 2:
{5 x + 8 y = 775 | (equation 1)
0 x - (3 y)/5 = -30 | (equation 2)
Multiply equation 2 by -5/3:
{5 x + 8 y = 775 | (equation 1)
0 x+y = 50 | (equation 2)
Subtract 8 × (equation 2) from equation 1:
{5 x+0 y = 375 | (equation 1)
0 x+y = 50 | (equation 2)
Divide equation 1 by 5:
{x+0 y = 75 | (equation 1)
0 x+y = 50 | (equation 2)
Collect results:
Answer: {x = 75
, y = 50