6 space x space space 10 to the power of 0 space space end exponent plus space 3 space x space 10 to the power of negative 1 end exponent space space plus space 5 space x space 10 to the power of negative 3 end exponent space equals _ _ _ _ _ _ _ _ _ _ _ _

6.305

Step-by-step explanation:

Given

6 * 10° + 3 * 10^-1 + 5 * 10^-3

Required

Solve the expression

6 * 10° + 3 * 10^-1 + 5 * 10^-3

[Express 10° as 1]

So, we have:

= 6 * 1 + 3 * 10^-1 + 5 * 10^-3

= 6 + 3 * 10^-1 + 5 * 10^-3

Express the exponents as fraction.

= 6 + 3 * ⅒ + 5 * 1/10³

= 6 + 3 * ⅒ + 5 *1/1000

= 6 + 3/10 + 5/1000

Convert fractions to decimals

= 6 + 0.3 + 0.005

= 6.305

Hence, the result of the expression is 6.305

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c

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cc

c

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form