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2 years ago

What is 0.0003840 expressed in scientific notation

2 answers:

5 0

You can write the fraction 0.0003840 a number of ways.
0.0003840 = 0.003840/10 = 0.03840/100 = 0.3840/1000 = 3.840/10000

The one we're interested in is the last one, which has one non-zero digit to the left of the decimal point. The power of 10 in the denominator is the 4th power (the number of zeros is 4). 10^4 in the denominator is equivalent to multiplying by 10^(-4) in the numerator.

Expressed in scientific notation,
$0.0003840=3.840 \cdot 10^{-4}$

Svet_ta [14]2 years ago

3 0

0.0003840

Written in scientific notation!

Move the decimal point.

.00384 x 10^1

.0384 x 10^2

.384 x 10^3

3.84 x 10^4

38.4 x 10^5

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Two cars, one going due east at 25 m / sec and the second going due south at 50/3 m / sec are traveling toward the intersection

valkas [14]

Answer:

30 m/s

Step-by-step explanation:

Let's say the distance from the first car to the intersection is x, and the distance from the second car to the intersection is y.

The distance between the cars can be found with Pythagorean theorem:

d² = x² + y²

Taking derivative with respect to time:

2d dd/dt = 2x dx/dt + 2y dy/dt

d dd/dt = x dx/dt + y dy/dt

We know that x = 200, dx/dt = -25, y = 150, and dy/dt = -50/3.

To find dd/dt, we still need to find d.

d² = x² + y²

d² = (200)² + (150)²

d = 250

Plugging everything in:

250 dd/dt = (200) (-25) + (150) (-50/3)

dd/dt = -30

The cars are approaching each other at a rate of 30 m/s at that instant.

4 0

2 years ago

Find the distance between the parallel lines y=x+8 and y=x+2

bulgar [2K]

Answer:

Step-by-step explanation:

6 0

2 years ago

20. The H.M. between 2 and 8 is<br>(1 marks )

e-lub [12.9K]

Answer as an improper fraction = 16/5

Answer as a mixed number = 3 & 1/5

Answer in decimal form = 3.2

All of those values represent the same thing, but written in a different way.

=============================================================

Explanation:

I'm assuming HM stands for Harmonic Mean in this case.

If so, then we apply the reciprocal operation to each value to get 1/2 and 1/8 (from 2 and 8 respectively).

Add up those fractions:

1/2 + 1/8 = 4/8 + 1/8 = 5/8

Now we'll divide n = 2 over that result. The n = 2 refers to the number of items in the original set.

n divide over (5/8) = 2*(8/5) = 16/5 which is the answer as an improper fraction

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To convert to a mixed number, we can do the following:

16/5 = (15+1)/5

16/5 = 15/5 + 1/5

16/5 = 3 + 1/5

16/5 = 3 & 1/5

Or if you need the answer in decimal form, then using a calculator would get you 16/5 = 3.2

6 0

2 years ago

Write an equation in point-slope form for the line that passes through the point with the given slope. point: (4,2) and m=3

jonny [76]

Answer:

y = 3x - 10

Step-by-step explanation:

4 0

3 years ago

Clark has a box of nickels and dimes that totals $1.90. there are a total of 27 coins. how many nickels and dimes does he have?

Andrej [43]

$0.05(n) + $0.10(d) = $1.90
n + d = 27
n + d - d =27 - d
n = 27 - d

$0.05(27-d) + $0.10(d) = $1.90
1.35 - 0.05d + 0.10d = $1.90
1.35 +0.05d = $1.90
1.35 - 1.35 +0.05d = $1.90 -1.35
0.05d = 0.55
0.05d/0.05 = 0.55/0.05
d = 11

n = 27 - 11
n = 16

$0.05(16) + $0.10(11) = $1.90
$0.80 + $1.10 = $1.90
$1.90 = $1.90

4 0

2 years ago