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konstantin123 [22]
3 years ago
15

Find Sn for the given arithmetic series a1=-26 d=-9 n=24

Mathematics
1 answer:
ryzh [129]3 years ago
5 0

Answer:

- 3108

Step-by-step explanation:

The sum to n terms of an arithmetic series is

S_{n} = \frac{n}{2} [ 2a_{1} + (n - 1)d ]

Substitute the given values into the formula

S_{24} = \frac{24}{2} [ (2 × - 26) + (23 × - 9) ]

                          = 12 ( - 52 - 207 )

                         = 12 × - 259 = - 3108

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Es of two children are 11 and 8 years.
nikdorinn [45]

Answer:

<em>In 5 years the product of their ages will be 208</em>

Step-by-step explanation:

The age of two children is 11 and 8 years.

Let's call x the number of years ahead.

We need to find when the product of their future ages is 208. The 11 years old child will be 11+x years old and the other child will be 8+x years, thus:

(11+x)(8+x)=208

Operating:

88+11x+8x+x^2=208

Simplifying:

x^2+19x-120=0

Factoring:

(x-5)(x+24)=0

Solving:

x=5, x=-24

The negative solution is not valid, thus x=5

In 5 years the product of their ages will be 208

3 0
3 years ago
A driver driving a business trip of 240 miles would have reached his destination if he'd been able to drive 12 mph faster than h
mariarad [96]

The average speed of his trip is = 12 mile/ hour

The total distance covered by the driver = 240 miles

The rate at which he traveled = 12 miles per hour

Therefore, the time he used to cover his distance

= 240/12

= 20 hrs

But average speed = distance/ time

= 240/ 20

= 12 miles/ hour

Therefore, the average speed of his trip is = 12 mile/ hour

Learn more here:

brainly.com/question/11753352

8 0
2 years ago
PLZ HELP ITS DUE TODAY!!!!!!!
Keith_Richards [23]
Sorry if i’m wrong or too late but i think you would have to divide 7 by those numbers
5 0
3 years ago
\The graph for the equation y = negative x + 2 is shown below. On a coordinate plane, a line with positive slope goes through (0
lesya692 [45]

Answer:

c

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What are the coordinates of the center and the
Misha Larkins [42]

Answer: The coordinate of the center is (4,-3)

radius = 8

Step-by-step explanation:

Given ;

x^{2} +y^{2}=8x-6y+39

re - arranging , we have

x^{2} +y^{2}-8x+6y-39=0

comparing with the general equation

x^{2} +y^{2}+2gx+2fy+c=0

This means that

2gx = -8x

2g=-8

g=-4

also

2fy=6y

2f=6

f=3

c=-39

The coordinate of the center is (-g,-f)

Therefore;

the coordinate of the center = (4,-3)

the formula for calculating r is given by:

r = \sqrt{g^{2}+f^{2}-c}

r = \sqrt{16+9+39}

r=\sqrt{64}

r=8

METHOD 2

x^{2} +y^{2}-8x+6y-39=0

using completing the square method , we have

x^{2} -8x+y^{2}+6y-39=0

completing the square , we have

(x-4)^{2}+(y+3)^{2} = 39 +4^{2}+3^{2}

(x-4)^{2}+(y+3)^{2}=64

comparing with the general equation

(x-a)^{2}+(y-b)^{2}=r^{2}

where a and b are the coordinate of the center , that is

the coordinate of the center is ( 4 , -3)

r^{2}=64

r=8

6 0
3 years ago
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