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ANTONII [103]
3 years ago
6

Briefly describe scientific notation. how is it useful for writing large and small​ numbers? how is it useful for making​ approx

imations?
Mathematics
1 answer:
Alenkasestr [34]3 years ago
4 0
Scientific notation, also called pattern or notation in exponential form, is a way of writing numbers that accommodate values too large (100000000000) or small (0.00000000001) to be written in a conventional manner.

 The use of this notation is based on powers of 104
 Example:
 Big numbers:
 100000000000 = 1 * 10 ^ {11}

 Small numbers:
 0.00000000001 = 1 * 10 ^{-11}

 However, in areas such as physics and chemistry, scientific notation is important to make approximations such as:
 mass of a proton
 mass of an electron and others.
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Three-fourths of the sum of y and 3 plus the product of 9 and w
UkoKoshka [18]

Answer:

¾(y + 3) + 9w

Step-by-step explanation:

Let's write it step by step:

Step 1: Three fourths of the sum of y and 3 is; ¾(y + 3)

Step 2: plus the product of 9 and w is;

¾(y + 3) + 9w

Thus,the final algebraic expression of the statement given in the question is;

¾(y + 3) + 9w

6 0
3 years ago
A ladder 10 feet long rests against a vertical wall. Initially, the top of the ladder is 8 feet above the ground. If the top of
lora16 [44]

Step-by-step explanation:

Let vertical height of ladder from ground be y and

horizontal distance of the base of the ladder from the wall be x respectively.

Length of the ladder = l (constant) = 10 ft

<u>Using Pythagoras theorem</u>:

{l}^{2}  =  {y}^{2}  +  {x}^{2}

Differentiate both sides w.r.t time

0 = 2y \frac{dy}{dt}  + 2x \frac{dx}{dt}

y \frac{dy}{dt}  + x \frac{dx}{dt}  = 0

<u>We know that</u> (After 1 sec, y = 6 ft and x = 8 ft ; dy/dt = 2 ft/sec)

6\times 2 + 8\frac{dx}{dt}  = 0

\frac{dx}{dt}  =  - 1.5 ft  \: per \: sec

<u>( Ignore - ive sign)</u>

Therefore, bottom of the ladder is sliding away from the wall at a speed of 1.5 ft/sec one second after the ladder starts sliding.

8 0
3 years ago
John needs to produce a scale diagram of a bedroom using a scale of 1:40. The length of the room is 3.4 metres. What is the leng
Varvara68 [4.7K]

Answer:

8.5cm

Step-by-step explanation:

convert 3.4metres to cm that is by multiplying by 100

3.4×100=340cm

1rep 40

?rep 340

that is 340/40

=8.5cm

5 0
3 years ago
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Can someone help me solve this question? Step by step please
Nina [5.8K]
So what we do is we first get the x on the right side: 7x-x = 6x.

Now we get the 5 to the left side: 71-5= 66.

Now our equation is 66=6x.
We divide 66 by 6 which makes x=11
8 0
3 years ago
Which of the following equations is parallel to the given line? 2x – 3y = 4
Naddik [55]

Answer:

y=2/3x+5

Step-by-step explanation:

4 0
3 years ago
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