Moment = Force x distance (M=F* d)

Mathematics

1 answer:

Alexandra [31]3 years ago

7 0

Step-by-step explanation:

a)2×30=60J

b) 1.25×0.28 = 0.35J

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What decimal is equivalent to 13/10

LUCKY_DIMON [66]

Answer:

1.30

Step-by-step explanation:

because it's 13 / 10 it means that there is a whole number , 13 - 10 equals 3 oh, so you divide 3 from 100

4 0

2 years ago

What is the sum of the first 51 consecutive odd positive integers?

Angelina_Jolie [31]

We call:

$a_{n}$ as the set of <span>the first 51 consecutive odd positive integers, so:

</span> $a_{n} = \{1, 3, 5, 7, 9...\}$

Where:
$a_{1} = 1$
$a_{2} = 3$
$a_{3} = 5$
$a_{4} = 7$
$a_{5} = 9$
<span>and so on.

In mathematics, a sequence of numbers, such that the difference between two consecutive terms is constant, is called Arithmetic Progression, so:

3-1 = 2
5-3 = 2
7-5 = 2
9-7 = 2 and so on.

Then, the common difference is 2, thus:

</span> $a_{n} = \{ a_{1} , a_{1} + d, a_{1} + d + d,..., a_{1} + (n-2)d+d\}$
<span>
Then:

</span> $a_{n} = a_{1} + (n-1)d$
<span>
So, we need to find the sum of the members of the finite series, which is called arithmetic series:

There is a formula for arithmetic series, namely:

</span> $S_{k} = ( \frac{a_{1} + a_{k}}{2} ).k$
<span>
Therefore, we need to find:
</span> $a_{k} = a_{51}$

Given that $a_{1} = 1$ , then:

$a_{n} = a_{1} + (n-1)d = 1 + (n-1)(2) = 2n-1$

Thus:
$a_{k} = a_{51} = 2(51)-1 = 101$

Lastly:

$S_{51} = ( \frac{1 + 101}{2} ).51 = 2601$

4 0

3 years ago

Need help with khan, again.

IrinaK [193]

Answer:

6.28

Step-by-step explanation:

1/2 x 3.14 x 2^2 = 6.28

5 0

3 years ago

The degree of the polynomial function f(x) is 4.

Leto [7]

See the graph below

<h2>Explanation:</h2><h2></h2>

A polynomial function whose degree is 4 is given by the form:

$f(x)=ax^4+bx^3+cx^2+dx+e \\ \\ Or: \\ \\ f(x)=a(x-x_{1})(x-x_{2})(x-x_{3})(x-x_{4}) \\ \\ \\ Where: \\ \\ x_{1},x_{2},x_{3} \ and \ x_{4} \ are \ the \ roots$