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3 years ago

Solve this equation, and show work. worth 40 points.

Mathematics

1 answer:

ioda3 years ago

7 0

Answer:

$r=-3/5=-0.6$

Step-by-step explanation:

We have the equation:

$6^{-3r}=6^{2r+3}$

Since their bases are the same, the exponents must be equivalent. So:

$-3r=2r+3$

Solve for r, subtract 2r from both sides:

$-5r=3$

Divide both sides by -5:

$r=-3/5=-0.6$

So, the value of r is -3/5.

And we're done!

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How many digits in hex do you need to represent integers up to 1, 000?

shepuryov [24]

You can convert 1000 to hex and see how many digits that requires:

$1000_{10}=(3\cdot16^2+14\cdot16+8)_{10}=3\mathrm e8_{16}$

So every integer below 1000 needs up to 3 digits.

Alternatively, we know that $16^2=256$ , and that $16^n$ requires $n+1$ digits in its hex representation (e.g. $16_{10}=10_{16}$ ). Taking the logarithm, we get $\log_{16}16^2=2$ , and adding 1 gives the number of digits needed to represent $16^2$ . Similarly,

$\lfloor\log_{16}1000\rfloor+1=3$

8 0

3 years ago

What's the simplest form 4 1/6 divided 1/5=

expeople1 [14]

Turn 4 1/6 into an improper fraction.
There are 4 x 6 parts in the whole number 4, add 1/6 to that to get = 25/6
now we have: 25/6 divided by 1/5
The rule for dividing is skip the first number, flip the second number, and multiply instead of divide.
So now we have: 25/6 x 6/1 = (25*6)/(6*1) = ?
You must get the final answer yourself. ;-)

7 0

3 years ago

(5x² – 8x + 1) + (2x² - 4x – 11)

djverab [1.8K]

Answer:

7x²-12x-10

Step-by-step explanation:

(5x²-8x+1) + (2x²-4x-11)

combine like terms

7x²-12x-10

7 0

4 years ago

Find the slope and y-intercept of the graph of each linear function.

Lady_Fox [76]

Answer:

see below

Step-by-step explanation:

These are written in slope intercept form

y = mx+b where m is the slope and b is the y intercept

A. y = 1/2x + 10

The slope is 1/2 and the y intercept is 10

B. y = -4x - 3

The slope is -4 and the y intercept is -3

3 0

3 years ago

Find the equation of the line that goes through (1, 2) and (3, 4).

Likurg_2 [28]

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8 0

3 years ago