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Semenov [28]
3 years ago
11

Convert the number to scientific notation. 0.02 =

Mathematics
2 answers:
Marizza181 [45]3 years ago
6 0

Answer: 2x10^-2

0.02 has the decimal point two points inwards making the exponent a negative 2

rjkz [21]3 years ago
4 0

Answer:2

Step-by-step explanation:

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4. Divide z(5z2 - 80) by 5z (z+4)​
insens350 [35]

Answer:

z-4

Step-by-step explanation:

z(5z²-80) ÷ 5z(z+4) = z-4

Step-by-step explanation:

Given: z(5z²-80) ÷ 5z(z+4)

Calculation:

First we factor numerator z(5z²-80)

Take out 5 from 5z²-80 and we get 5z(z²-16)

Now we factor 16 = 4²

5z(z²-4²)

Using formula, (a²- b²)=(a+b)(a-b)

5z(z²- 4²)⇒5z(z+4)(z-4)

Simplified fraction

5z(z+4)(z-4) ÷ 5z(z+4)

Cancel like factor from numerator and denominator

⇒ z-4

Thus, z(5z²-80) ÷ 5z(z+4) = z-4

5 0
3 years ago
The height above the surface of the Earth​ (in meters) of a rock thrown into the air at 10​ m/s after x seconds is given by f(x)
Sonbull [250]

Answer:

Rock travels about 8.2x²meters higher on the moon than on the Earth.

Step-by-step explanation:

Expression showing the height of a rock thrown into the air at Earth is,

f(x) = -9.8x² + 10x + 1.5

Similarly, expression showing the height of rock thrown on the moon is,

g(x) = -1.6x² + 10x + 1.5

Difference in the height of the rock thrown on moon = g(x) - f(x)

= (-1.6x² + 10x + 1.5) - ( -9.8x² + 10x + 1.5)

= -1.6x² + 9.8x² + 10x - 10x + 1.5 - 1.5

= 8.2x²

Therefore, rock travels about 8.2x²meters higher on the moon than on the Earth.

8 0
3 years ago
Simplify the expression 5/x-2y5
34kurt

5x-y10 We're basically just multiplying the 5 by x and the y by 5 and -2.

(5/x= 5x) + (y/-2/-5)

7 0
3 years ago
Exact value of cos45
Anit [1.1K]

It's a value you should probably memorize:

\cos45^\circ=\dfrac{\sqrt2}2=\dfrac1{\sqrt2}

You can derive it using some trigonometric identities, other known values of cosine, and properties of the cosine function. For example, using the double angle identity for cosine:

\cos^2x=\dfrac{1+\cos2x}2

If x=45^\circ, then

\cos^245^\circ=\dfrac{1+\cos90^\circ}2

and you probably know that \cos90^\circ=0, so

\cos^245^\circ=\dfrac12

When we take the square root, we should take the positive root because \cos x>0 whenever 0^\circ:

\cos45^\circ=+\sqrt{\dfrac12}\implies\cos45^\circ=\dfrac1{\sqrt2}

4 0
3 years ago
Find-5/6÷(-1/2) write the answer in the lowest terms.​
jonny [76]
Multiply by the reciprocal

-5/6 x -2/1
The negatives cancel, giving you a positive answer:
10/6
Simplified to 5/3 or 1 and 2/3 if you use mixed fractions.
8 0
3 years ago
Read 2 more answers
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