Summation of 3n + 2 from n = 1 to n = 14 = (3(1) + 2) + (3(2) + 2) + (3(3) + 2) + . . . + (3(14) + 2) = 5 + 8 + 11 + ... + 44 ia an arithmetic progression with first term (a) = 5, common difference (d) = 3 and last term (l) = 44 and n = 14
Sn = n/2(a + l) = 14/2(5 + 44) = 7(49) = 343
Therefore, the required summation is 343.
Answer:
2 solutions
Step-by-step explanation:
We are given the equations of f(x) and g(x).
To find f(x) = g(x), we just let those two equations equal each other
Group all like terms,
Factorise,
Therefore, there are two solutions
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The volume of the Tiny's tank will be equal to V=7760 cubic inches.
<h3>What is volume?</h3>
Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the cube and for the cone it will be radius and height.
It is given that:-
The tank is 16 inches tall.
The area of the tank is 485 square inches
So the volume of the tank will be:-
V= πr²h
V=Area x h
V= 485 x 16
V= 7760 cubic inches
Therefore the volume of the Tiny's tank will be equal to V=7760 cubic inches.
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Answer:To find the volume of a composite solid, u identify the different parts it is made of, work out the volume of each part independently, and sum up the volumes of its parts. For composite prisms, where the bases are a composite shape, the area of the bases is the sum of the areas of the parts it is made of.
Answer:
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