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3 years ago

14 A formula for determining the finite sum, S, of an arithmetic sequence of numbers is

Mathematics

2 answers:

allochka39001 [22]3 years ago

6 0

Answer:

You can download the answer here. Link below!

Step-by-step explanation:

Advocard [28]3 years ago

4 0

Answer:

b = 2S/n - a.

Step-by-step explanation:

S=n/2(a + b)

a + b = S / n/2

a + b = 2S/n

b = 2S/n - a.

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What is the first term, common difference, and 16th term

strojnjashka [21]

Answer:

The 1st term is -67

Step-by-step explanation:

I. When Sn = $\frac{n}{2}$ ( $a_{1} + a_{n}$ )

If Sn = 124, n = 8 and $a_{n}$ = 98

124 = 8/2(a + 98)

124 = 4(a + 98)

124 = 4a + 392

124 - 392 = 4a

-268/4 = a

-67 = $a_{1}$

Hope that help :D

7 0

3 years ago

When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. When a certain constan

vitfil [10]

Answer:

$a = 6m/s^2$

Step-by-step explanation:

Given

When mass = 4kg; Acceleration = 15m/s²

Required

Determine the acceleration when mass = 10kg, provided force is constant;

Represent mass with m and acceleration with a

The question says there's an inverse variation between acceleration and mass; This is represented as thus;

$a\ \alpha\ \frac{1}{m}$

Convert variation to equality

$a = \frac{F}{m}$ ; Where F is the constant of variation (Force)

Make F the subject of formula;

$F = ma$

When mass = 4kg; Acceleration = 15m/s²

$F = 4 * 15$

$F = 60N$

When mass = 10kg; Substitute 60 for Force

$F = ma$

$60 = 10 * a$

$60 = 10a$

Divide both sides by 10

$\frac{60}{10} = \frac{10a}{10}$

$a = 6m/s^2$

Hence, the acceleration is  $a = 6m/s^2$ 

4 0

3 years ago

HELP WITH MATH PLEASE

sergey [27]

Answer:

1) (-3,-2)

2) x=-3

Step-by-step explanation:

1) The vertex of a parabola is the turning point that is the minimum or maximum of the graph, based on the shape of the parabola. In this case, the vertex is the minimum. By looking at the coordinate points, we can tell that the minimum value where the graph changes the direction is at (-3,-2).

2) The line of symmetry is the line on the graph that cuts the shape exactly in half. This means that if you were to fold the graph along this line, the two sides would be identical. All parabolas have a line of symmetry and it always matches the vertex. The equation for the line of symmetry will be x= whatever the x-value of the vertex is. So, for this graph, the line of symmetry is x=-3.

7 0

3 years ago

Sean reads 1 1/2 pages in 3 1/3 minutes. What is his average page per minute?

Helga [31]

Answer:

9/20 pages per minute.

Step-by-step explanation:

4 0

3 years ago

Find MN LM = 3y + 4 MN = 7y + 9 LN = 143

ahrayia [7]

Answer:

B. 100

Step-by-step explanation:

$3y+4+7y+9=143$

$10x+13=143$ 143-13=130

10x=130 divide both sides by 10 130/10= 13 x=13

MN=7(13)=91+9=100

LN=3(13)=39+4=43

100+43

6 0

3 years ago