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olga2289 [7]
4 years ago
13

Find the sum of the first 20 terms of an arithmetic series if the first term is 10 and the twentieth term is 38.

Mathematics
1 answer:
elena-14-01-66 [18.8K]4 years ago
6 0

Answer:480

Step-by-step explanation:

To find the sum of the first n terms of an arithmetic series use the formula, n terms of an arithmetic sequence use the formula,

Sn=n(a1 + an)2

n=20

a1= 10

a20=38

20(10+38)/2

20(48)/2

960/2

480

So the ans is 480

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A model rocket launched directly upward at a speed of 16 meters per second from a helght of 2 meters . The f(t) = - 4.9t ^ 2 + 1
Anton [14]

Answer:

f(t) = 15.06 m

Step-by-step explanation:

The relationship between the height of the rocket and the time after launch, t. In seconds is given by :

f(t) = - 4.9t ^ 2 + 16t + 2

We need to find the maximum height the rocket will reach the ground.

When it reaches the ground,

f(t) = 0

So,

Maximum height,

f'(t) = 0

-9.8t+16=0\\\\t=\dfrac{16}{9.8}\\\\t=1.63\ s

Put t = 1.63 in equation (1).

f(1.63) = - 4.9\times (1.63 ^ 2) + 16(1.63) + 2\\\\=15.06\ m

So, the maximum height of the rocket is 15.06 m.

4 0
3 years ago
If a given area of a square is 24cm2, estimate the length of one side of the square?
Pavlova-9 [17]

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