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3 years ago

Help me plz math (picture)

Mathematics

1 answer:

skad [1K]3 years ago

6 0

For 34, since each diameter is in scientific notation , meaning that we have one number (1-9) followed by a decimal, we simply see which has the smallest power, which is cell C.

For 35, we multiply them out to get 0.83*10^2 (we subtract exponents when dividing). Since scientific notation is one integer from 1-9 followed by a decimal, we move 0.83 one place to the right and therefore remove one power from 10^2, getting 8.3*10

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charle [14.2K]

Your answer is C. 1609

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3 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 the first 51 consecutive odd positive integers, so:

 $a_{n} = \{1, 3, 5, 7, 9...\}$

Where:
$a_{1} = 1$
$a_{2} = 3$
$a_{3} = 5$
$a_{4} = 7$
$a_{5} = 9$
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:

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

Then:

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

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:

 $S_{k} = ( \frac{a_{1} + a_{k}}{2} ).k$

Therefore, we need to find:
 $a_{k} = a_{51}$

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

PLEASE HELP ME

NISA [10]

b. 33

add all the members that is 500 and below

4+8+10+11=33

4 0

3 years ago

Part 1

soldi70 [24.7K]

Answer:

Look it up on G o o gle it real easy :)

Step-by-step explanation:

5 0

3 years ago

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Find number x, if when you add 7 to it and double the result you get 19 more than x.

Alona [7]

Answer:5

Step-by-step explanation:

2(x+7)=x+19

Open brackets

2x+14=x+19

Collect like terms

2x-x=19-14

x=5

4 0

3 years ago

Read 2 more answers