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
Good morning,
Answer:
5 + 12 ≤ x ⇔ 12 ≤ x − 5 ⇔ x − 5 ≥ 12.
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Answer:
9 cm.
Step-by-step explanation:
Let the height of the pyramid be h cm, then the height of the cuboid is (15 - h) cm.
Volume of the pyramid:
= 1/3 * h * s^2 where s is the length of a side of the square base.
= hs^2/3 cm^3
Volume of the cuboid:
= s^2(15 - h).
So we have:
hs^2/ 3 = 300.......................(1)
s^2(15 - h) = 600..................(2)
From equation (1) :
h s^2 = 900
s^2 = 900/h
Now substitute for s^2 in equation (2) :
(900/h)(15 - h) = 600
Multiply through by h:
900(15 - h) = 600h
13500 - 900h = 600h
1500h = 13500
h = 9 cm (answer).
Answer:
Hi there!
The correct answer is: (0,1) maximum
Step-by-step explanation:
vertex: the point where the parabola crosses its axis of symmetry.
when the graph is concave down, maximum
when the graph is concave up, minimum
Sharecropping is a type of farming in which families rent small plots of land from a landowner in return for a portion of their crop, to be given to the landowner at the end of each year. Different types of sharecropping have been practiced worldwide for centuries, but in the rural South, it was typically practiced by former slaves. With the southern economy in disarray after the abolition of slavery and the devastation of the Civil War, conflict arose during the Reconstruction era between many white landowners attempting to reestablish a labor force and freed blacks seeking economic independence and autonomy.