Answer:
The sum of the given series is 1023
Step-by-step explanation:
Geometric series states that a series in which a constant ratio is obtained by multiplying the previous term.
Sum of the geometric series is given by:
where a is the first term and n is the number of term.
Given the series: 
This is a geometric series with common ratio(r) = 2
We have to find the sum of the series for 10th term.
⇒ n = 10 and a = 1
then;

Therefore, the sum of the given series is 1023
Answer:
parallelogram
Step-by-step explanation:
slope of DE = (4-7) / (-4 - 2) = 1/2
slope of FT = (-3 - -6) / (11-5) = 1/2
DE // FT
slope of EF = (-6 - 4) / (5 - -4) = - 10/9
slope of DT = (-3 - 7) / (11 - 2) = - 10/9
EF // DT
Answer:
Step-by-step explanation:
1000 gallons - 940 = 60 then divide by the time which gets us 60/10=6
Now we can use this answer to help find out the amount remaining in the tank.
5 minutes = 5x6=30; 1000-30= 970 gallons
20 minutes= 20x6=120; 1000-120= 880 gallons
30 minutes=30x6=180; 1000-180= 820 gallons
27 minutes=27x6=162; 1000-162= 838 gallons
X minutes = 1000-6x
Rate of flow is 6 gallons per minute.
Hope this helps!
Answer:
Explanation given below.
Step-by-step explanation:
The first step is to put the parabola in the form
, which is the <em>standard form of a parabola</em>
<em />
<u>Note:</u> a is the coefficient before x^2 term, b is the coefficient before x term, and c is the independent constant term
The axis of symmetry divides the parabola symmetrically. The axis of symmetry has the equation 
Where <em><u>a and b are the respective values shown above</u></em>
<em><u /></em>
So, that is how you get the axis of symmetry of any parabola.